From b0f9cc1c78ddf0a9d0b6f23dc07817625dbe209c Mon Sep 17 00:00:00 2001
From: Miguel <m.i@gmx.at>
Date: Sun, 24 Mar 2019 01:34:23 +0100
Subject: added turacer video and neuroticus

---
 .../00030_Computer-Games/00150_TU-Racer/index.md   |  10 +-
 .../00150_TU-Racer/turacer.mp4                     | Bin 0 -> 9132097 bytes
 .../00150_TU-Racer/turacer.webm                    | Bin 0 -> 2638724 bytes
 .../00040_Haskell/00220_Neural-Networks/index.md   |  11 +-
 .../00220_Neural-Networks/math.min.js              |  56 +++++++
 .../00220_Neural-Networks/neuroticus.html          | 181 +++++++++++++++++++++
 6 files changed, 256 insertions(+), 2 deletions(-)
 create mode 100644 00_blog/00030_Computer-Games/00150_TU-Racer/turacer.mp4
 create mode 100644 00_blog/00030_Computer-Games/00150_TU-Racer/turacer.webm
 create mode 100644 00_blog/00040_Haskell/00220_Neural-Networks/math.min.js
 create mode 100644 00_blog/00040_Haskell/00220_Neural-Networks/neuroticus.html

diff --git a/00_blog/00030_Computer-Games/00150_TU-Racer/index.md b/00_blog/00030_Computer-Games/00150_TU-Racer/index.md
index 2cbbe1a..0fa52b7 100644
--- a/00_blog/00030_Computer-Games/00150_TU-Racer/index.md
+++ b/00_blog/00030_Computer-Games/00150_TU-Racer/index.md
@@ -6,10 +6,17 @@ legendary _Computergraphik_ II & III Courses.
 
 You participate in deadly races around the Technical University, as well
 as in psychodelic worlds to earn money for your tuition fees, which the 
-Austrian government just invented. (back then in 2005...)
+Austrian government just invented. (back then in 00s...)
 
 The game is using a custom game engine based on raw OpenGL. 
 
+<video controls>
+<source src="turacer.mp4" type="video/mp4">
+<source src="turacer.webm" type="video/webm">
+    Sorry, Your browser does not support the video tag.
+
+</video>
+
 ## Features
 
 * Precalculated Lightmaps
@@ -19,3 +26,4 @@ The game is using a custom game engine based on raw OpenGL.
 * Lights and Transparency
 * 3 Unique Levels
 * 4 Cars with individual physics
+* Smoke Particle Effect
diff --git a/00_blog/00030_Computer-Games/00150_TU-Racer/turacer.mp4 b/00_blog/00030_Computer-Games/00150_TU-Racer/turacer.mp4
new file mode 100644
index 0000000..24fcca5
Binary files /dev/null and b/00_blog/00030_Computer-Games/00150_TU-Racer/turacer.mp4 differ
diff --git a/00_blog/00030_Computer-Games/00150_TU-Racer/turacer.webm b/00_blog/00030_Computer-Games/00150_TU-Racer/turacer.webm
new file mode 100644
index 0000000..e4c44a7
Binary files /dev/null and b/00_blog/00030_Computer-Games/00150_TU-Racer/turacer.webm differ
diff --git a/00_blog/00040_Haskell/00220_Neural-Networks/index.md b/00_blog/00040_Haskell/00220_Neural-Networks/index.md
index db69154..16b39d0 100644
--- a/00_blog/00040_Haskell/00220_Neural-Networks/index.md
+++ b/00_blog/00040_Haskell/00220_Neural-Networks/index.md
@@ -1,3 +1,4 @@
+    March 2019
 # Neural Networks
 
 ## Hello Sigmoid
@@ -10,7 +11,8 @@ reading the first two chapters of _Neural Networks and Deep Learning_ [1].
 
 Be warned that the following implementation aims at clarity and readability,
 but not performance! In another article I will probably discuss, how to 
-optimize it heavily, utilizing _Parallel Programming_ / _Tensor Flow (CUDA)_.
+optimize it heavily, utilizing _Parallel Programming_ / _Tensor Flow (CUDA)_. 
+We can even run it on a cluster someday...
 
 The source code below was auto-fetched from: 
 <https://gitweb.softwarefools.com/?p=miguel/haskell.git;a=blob;f=mnist/Neuronet.hs>
@@ -35,6 +37,11 @@ the first ten epochs. (The speed of the cast was increased quite a bit)
  
 <asciinema-player loop="1" preload="true" theme="solarized-dark" autoplay="true" src="mnist.cast"></asciinema-player>
 
+I created a little javascript version with 100 random test samples where 
+you can test the trained neuronal network inside your browser, if it
+supports HTML5. 
+
+* [link to neuroticus.html](neuroticus.html)
 
 ## Technical Vocublary
 
@@ -46,6 +53,8 @@ yourself familiar with, when learning about neural networks.
 * cost / loss / objective function
 * required assumptions about the cost function
 * quadratic cost function / mean squared error
+* cross-entropy cost function (recheck proof)
+* binary entropy
 * gradient descent 
 * gradient (vector of partial derivatives)
 * stochastic gradient descent 
diff --git a/00_blog/00040_Haskell/00220_Neural-Networks/math.min.js b/00_blog/00040_Haskell/00220_Neural-Networks/math.min.js
new file mode 100644
index 0000000..4a79ab6
--- /dev/null
+++ b/00_blog/00040_Haskell/00220_Neural-Networks/math.min.js
@@ -0,0 +1,56 @@
+/**
+ * math.js
+ * https://github.com/josdejong/mathjs
+ *
+ * Math.js is an extensive math library for JavaScript and Node.js,
+ * It features real and complex numbers, units, matrices, a large set of
+ * mathematical functions, and a flexible expression parser.
+ *
+ * @version 5.8.0
+ * @date    2019-03-20
+ *
+ * @license
+ * Copyright (C) 2013-2019 Jos de Jong <wjosdejong@gmail.com>
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License"); you may not
+ * use this file except in compliance with the License. You may obtain a copy
+ * of the License at
+ *
+ * https://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the
+ * License for the specific language governing permissions and limitations under
+ * the License.
+ */
+!function(e,t){"object"==typeof exports&&"object"==typeof module?module.exports=t():"function"==typeof define&&define.amd?define([],t):"object"==typeof exports?exports.math=t():e.math=t()}(this,function(){return function(r){var n={};function i(e){if(n[e])return n[e].exports;var t=n[e]={i:e,l:!1,exports:{}};return r[e].call(t.exports,t,t.exports,i),t.l=!0,t.exports}return i.m=r,i.c=n,i.d=function(e,t,r){i.o(e,t)||Object.defineProperty(e,t,{enumerable:!0,get:r})},i.r=function(e){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(e,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(e,"__esModule",{value:!0})},i.t=function(t,e){if(1&e&&(t=i(t)),8&e)return t;if(4&e&&"object"==typeof t&&t&&t.__esModule)return t;var r=Object.create(null);if(i.r(r),Object.defineProperty(r,"default",{enumerable:!0,value:t}),2&e&&"string"!=typeof t)for(var n in t)i.d(r,n,function(e){return t[e]}.bind(null,n));return r},i.n=function(e){var t=e&&e.__esModule?function(){return e.default}:function(){return e};return i.d(t,"a",t),t},i.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)},i.p="",i(i.s=159)}([function(e,t,r){"use strict";e.exports=function t(e,r,n){return e&&"function"==typeof e.map?e.map(function(e){return t(e,r,n)}):r(e)}},function(e,t,r){"use strict";t.name="matrix",t.factory=function(n,e,t,r){var i=r("matrix",{"":function(){return o([])},string:function(e){return o([],e)},"string, string":function(e,t){return o([],e,t)},Array:function(e){return o(e)},Matrix:function(e){return o(e,e.storage())},"Array | Matrix, string":o,"Array | Matrix, string, string":o});return i.toTex={0:"\\begin{bmatrix}\\end{bmatrix}",1:"\\left(${args[0]}\\right)",2:"\\left(${args[0]}\\right)"},i;function o(e,t,r){return new(n.Matrix.storage(t||"default"))(e,r)}}},function(e,t,r){"use strict";r.r(t),r.d(t,"size",function(){return l}),r.d(t,"validate",function(){return p}),r.d(t,"validateIndex",function(){return m}),r.d(t,"resize",function(){return h}),r.d(t,"reshape",function(){return d}),r.d(t,"squeeze",function(){return y}),r.d(t,"unsqueeze",function(){return g}),r.d(t,"flatten",function(){return v}),r.d(t,"map",function(){return x}),r.d(t,"forEach",function(){return b}),r.d(t,"filter",function(){return w}),r.d(t,"filterRegExp",function(){return N}),r.d(t,"join",function(){return M}),r.d(t,"identify",function(){return E}),r.d(t,"generalize",function(){return A});var n=r(3),i=r.n(n),o=r(9),a=r.n(o),s=r(8),u=r.n(s),c=r(48),f=r.n(c);function l(e){for(var t=[];Array.isArray(e);)t.push(e.length),e=e[0];return t}function p(e,t){if(0===t.length){if(Array.isArray(e))throw new u.a(e.length,0)}else!function e(t,r,n){var i,o=t.length;if(o!==r[n])throw new u.a(o,r[n]);if(n<r.length-1){var a=n+1;for(i=0;i<o;i++){var s=t[i];if(!Array.isArray(s))throw new u.a(r.length-1,r.length,"<");e(t[i],r,a)}}else for(i=0;i<o;i++)if(Array.isArray(t[i]))throw new u.a(r.length+1,r.length,">")}(e,t,0)}function m(e,t){if(!i.a.isNumber(e)||!i.a.isInteger(e))throw new TypeError("Index must be an integer (value: "+e+")");if(e<0||"number"==typeof t&&t<=e)throw new f.a(e,t)}function h(e,t,r){if(!Array.isArray(e)||!Array.isArray(t))throw new TypeError("Array expected");if(0===t.length)throw new Error("Resizing to scalar is not supported");return t.forEach(function(e){if(!i.a.isNumber(e)||!i.a.isInteger(e)||e<0)throw new TypeError("Invalid size, must contain positive integers (size: "+a.a.format(t)+")")}),function e(t,r,n,i){var o;var a;var s=t.length;var u=r[n];var c=Math.min(s,u);t.length=u;if(n<r.length-1){var f=n+1;for(o=0;o<c;o++)a=t[o],Array.isArray(a)||(a=[a],t[o]=a),e(a,r,f,i);for(o=c;o<u;o++)a=[],t[o]=a,e(a,r,f,i)}else{for(o=0;o<c;o++)for(;Array.isArray(t[o]);)t[o]=t[o][0];for(o=c;o<u;o++)t[o]=i}}(e,t,0,void 0!==r?r:0),e}function d(t,r){var e,n=v(t);function i(e){return e.reduce(function(e,t){return e*t})}if(!Array.isArray(t)||!Array.isArray(r))throw new TypeError("Array expected");if(0===r.length)throw new u.a(0,i(l(t)),"!=");for(var o=1,a=0;a<r.length;a++)o*=r[a];if(n.length!==o)throw new u.a(i(r),i(l(t)),"!=");try{e=function(e,t){for(var r,n=e,i=t.length-1;0<i;i--){var o=t[i];r=[];for(var a=n.length/o,s=0;s<a;s++)r.push(n.slice(s*o,(s+1)*o));n=r}return n}(n,r)}catch(e){if(e instanceof u.a)throw new u.a(i(r),i(l(t)),"!=");throw e}return e}function y(e,t){for(var r=t||l(e);Array.isArray(e)&&1===e.length;)e=e[0],r.shift();for(var n=r.length;1===r[n-1];)n--;return n<r.length&&(e=function e(t,r,n){var i,o;if(n<r){var a=n+1;for(i=0,o=t.length;i<o;i++)t[i]=e(t[i],r,a)}else for(;Array.isArray(t);)t=t[0];return t}(e,n,0),r.length=n),e}function g(e,t,r,n){var i=n||l(e);if(r)for(var o=0;o<r;o++)e=[e],i.unshift(1);for(e=function e(t,r,n){var i,o;if(Array.isArray(t)){var a=n+1;for(i=0,o=t.length;i<o;i++)t[i]=e(t[i],r,a)}else for(var s=n;s<r;s++)t=[t];return t}(e,t,0);i.length<t;)i.push(1);return e}function v(e){if(!Array.isArray(e))return e;var r=[];return e.forEach(function e(t){Array.isArray(t)?t.forEach(e):r.push(t)}),r}function x(e,t){return Array.prototype.map.call(e,t)}function b(e,t){Array.prototype.forEach.call(e,t)}function w(e,t){if(1!==l(e).length)throw new Error("Only one dimensional matrices supported");return Array.prototype.filter.call(e,t)}function N(e,t){if(1!==l(e).length)throw new Error("Only one dimensional matrices supported");return Array.prototype.filter.call(e,function(e){return t.test(e)})}function M(e,t){return Array.prototype.join.call(e,t)}function E(e){if(!Array.isArray(e))throw new TypeError("Array input expected");if(0===e.length)return e;var t=[],r=0;t[0]={value:e[0],identifier:0};for(var n=1;n<e.length;n++)e[n]===e[n-1]?r++:r=0,t.push({value:e[n],identifier:r});return t}function A(e){if(!Array.isArray(e))throw new TypeError("Array input expected");if(0===e.length)return e;for(var t=[],r=0;r<e.length;r++)t.push(e[r].value);return t}},function(e,p,t){"use strict";var o=t(5);function m(e){for(var t=[],r=0;r<e;r++)t.push(0);return t}p.isNumber=function(e){return"number"==typeof e},p.isInteger=function(e){return"boolean"==typeof e||!!isFinite(e)&&e===Math.round(e)},p.sign=Math.sign||function(e){return 0<e?1:e<0?-1:0},p.format=function(e,t){if("function"==typeof t)return t(e);if(e===1/0)return"Infinity";if(e===-1/0)return"-Infinity";if(isNaN(e))return"NaN";var r,n="auto";switch(t&&(t.notation&&(n=t.notation),p.isNumber(t)?r=t:p.isNumber(t.precision)&&(r=t.precision)),n){case"fixed":return p.toFixed(e,r);case"exponential":return p.toExponential(e,r);case"engineering":return p.toEngineering(e,r);case"auto":if(!t||!t.exponential||void 0===t.exponential.lower&&void 0===t.exponential.upper)return p.toPrecision(e,r,t&&t).replace(/((\.\d*?)(0+))($|e)/,function(){var e=arguments[2],t=arguments[4];return"."!==e?e+t:t});var i=o.map(t,function(e){return e});return(i.exponential=void 0)!==t.exponential.lower&&(i.lowerExp=Math.round(Math.log(t.exponential.lower)/Math.LN10)),void 0!==t.exponential.upper&&(i.upperExp=Math.round(Math.log(t.exponential.upper)/Math.LN10)),console.warn("Deprecation warning: Formatting options exponential.lower and exponential.upper (minimum and maximum value) are replaced with exponential.lowerExp and exponential.upperExp (minimum and maximum exponent) since version 4.0.0. Replace "+JSON.stringify(t)+" with "+JSON.stringify(i)),p.toPrecision(e,r,i);default:throw new Error('Unknown notation "'+n+'". Choose "auto", "exponential", or "fixed".')}},p.splitNumber=function(e){var t=String(e).toLowerCase().match(/^0*?(-?)(\d+\.?\d*)(e([+-]?\d+))?$/);if(!t)throw new SyntaxError("Invalid number "+e);var r=t[1],n=t[2],i=parseFloat(t[4]||"0"),o=n.indexOf(".");i+=-1!==o?o-1:n.length-1;var a=n.replace(".","").replace(/^0*/,function(e){return i-=e.length,""}).replace(/0*$/,"").split("").map(function(e){return parseInt(e)});return 0===a.length&&(a.push(0),i++),{sign:r,coefficients:a,exponent:i}},p.toEngineering=function(e,t){if(isNaN(e)||!isFinite(e))return String(e);var r=p.roundDigits(p.splitNumber(e),t),n=r.exponent,i=r.coefficients,o=n%3==0?n:n<0?n-3-n%3:n-n%3;if(p.isNumber(t))t>i.length&&(i=i.concat(m(t-i.length)));else{var a=0<=n?n:Math.abs(o);i.length-1<a&&(i=i.concat(m(a-(i.length-1))))}for(var s=Math.abs(n-o),u=1;0<=--s;)u++;var c=i.slice(u).join(""),f=p.isNumber(t)&&c.length||c.match(/[1-9]/)?"."+c:"",l=i.slice(0,u).join("")+f+"e"+(0<=n?"+":"")+o.toString();return r.sign+l},p.toFixed=function(e,t){if(isNaN(e)||!isFinite(e))return String(e);var r=p.splitNumber(e),n="number"==typeof t?p.roundDigits(r,r.exponent+1+t):r,i=n.coefficients,o=n.exponent+1,a=o+(t||0);return i.length<a&&(i=i.concat(m(a-i.length))),o<0&&(i=m(1-o).concat(i),o=1),o<i.length&&i.splice(o,0,0===o?"0.":"."),n.sign+i.join("")},p.toExponential=function(e,t){if(isNaN(e)||!isFinite(e))return String(e);var r=p.splitNumber(e),n=t?p.roundDigits(r,t):r,i=n.coefficients,o=n.exponent;i.length<t&&(i=i.concat(m(t-i.length)));var a=i.shift();return n.sign+a+(0<i.length?"."+i.join(""):"")+"e"+(0<=o?"+":"")+o},p.toPrecision=function(e,t,r){if(isNaN(e)||!isFinite(e))return String(e);var n=r&&void 0!==r.lowerExp?r.lowerExp:-3,i=r&&void 0!==r.upperExp?r.upperExp:5,o=p.splitNumber(e);if(o.exponent<n||o.exponent>=i)return p.toExponential(e,t);var a=t?p.roundDigits(o,t):o,s=a.coefficients,u=a.exponent;s.length<t&&(s=s.concat(m(t-s.length))),s=s.concat(m(u-s.length+1+(s.length<t?t-s.length:0)));var c=0<u?u:0;return c<(s=m(-u).concat(s)).length-1&&s.splice(c+1,0,"."),a.sign+s.join("")},p.roundDigits=function(e,t){for(var r={sign:e.sign,coefficients:e.coefficients,exponent:e.exponent},n=r.coefficients;t<=0;)n.unshift(0),r.exponent++,t++;if(n.length>t&&5<=n.splice(t,n.length-t)[0]){var i=t-1;for(n[i]++;10===n[i];)n.pop(),0===i&&(n.unshift(0),r.exponent++,i++),n[--i]++}return r},p.digits=function(e){return e.toExponential().replace(/e.*$/,"").replace(/^0\.?0*|\./,"").length},p.DBL_EPSILON=Number.EPSILON||2220446049250313e-31,p.nearlyEqual=function(e,t,r){if(null==r)return e===t;if(e===t)return!0;if(isNaN(e)||isNaN(t))return!1;if(isFinite(e)&&isFinite(t)){var n=Math.abs(e-t);return n<p.DBL_EPSILON||n<=Math.max(Math.abs(e),Math.abs(t))*r}return!1}},function(e,r,t){"use strict";var n=t(178);r.symbols={Alpha:"A",alpha:"\\alpha",Beta:"B",beta:"\\beta",Gamma:"\\Gamma",gamma:"\\gamma",Delta:"\\Delta",delta:"\\delta",Epsilon:"E",epsilon:"\\epsilon",varepsilon:"\\varepsilon",Zeta:"Z",zeta:"\\zeta",Eta:"H",eta:"\\eta",Theta:"\\Theta",theta:"\\theta",vartheta:"\\vartheta",Iota:"I",iota:"\\iota",Kappa:"K",kappa:"\\kappa",varkappa:"\\varkappa",Lambda:"\\Lambda",lambda:"\\lambda",Mu:"M",mu:"\\mu",Nu:"N",nu:"\\nu",Xi:"\\Xi",xi:"\\xi",Omicron:"O",omicron:"o",Pi:"\\Pi",pi:"\\pi",varpi:"\\varpi",Rho:"P",rho:"\\rho",varrho:"\\varrho",Sigma:"\\Sigma",sigma:"\\sigma",varsigma:"\\varsigma",Tau:"T",tau:"\\tau",Upsilon:"\\Upsilon",upsilon:"\\upsilon",Phi:"\\Phi",phi:"\\phi",varphi:"\\varphi",Chi:"X",chi:"\\chi",Psi:"\\Psi",psi:"\\psi",Omega:"\\Omega",omega:"\\omega",true:"\\mathrm{True}",false:"\\mathrm{False}",i:"i",inf:"\\infty",Inf:"\\infty",infinity:"\\infty",Infinity:"\\infty",oo:"\\infty",lim:"\\lim",undefined:"\\mathbf{?}"},r.operators={transpose:"^\\top",ctranspose:"^H",factorial:"!",pow:"^",dotPow:".^\\wedge",unaryPlus:"+",unaryMinus:"-",bitNot:"\\~",not:"\\neg",multiply:"\\cdot",divide:"\\frac",dotMultiply:".\\cdot",dotDivide:".:",mod:"\\mod",add:"+",subtract:"-",to:"\\rightarrow",leftShift:"<<",rightArithShift:">>",rightLogShift:">>>",equal:"=",unequal:"\\neq",smaller:"<",larger:">",smallerEq:"\\leq",largerEq:"\\geq",bitAnd:"\\&",bitXor:"\\underline{|}",bitOr:"|",and:"\\wedge",xor:"\\veebar",or:"\\vee"},r.defaultTemplate="\\mathrm{${name}}\\left(${args}\\right)";var i={deg:"^\\circ"};r.escape=function(e){return n(e,{preserveFormatting:!0})},r.toSymbol=function(e,t){return(t=void 0!==t&&t)?i.hasOwnProperty(e)?i[e]:"\\mathrm{"+r.escape(e)+"}":r.symbols.hasOwnProperty(e)?r.symbols[e]:r.escape(e)}},function(e,o,t){"use strict";function n(e){return(n="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}var i=t(80);o.clone=function t(e){var r=n(e);if("number"===r||"string"===r||"boolean"===r||null==e)return e;if("function"==typeof e.clone)return e.clone();if(Array.isArray(e))return e.map(function(e){return t(e)});if(e instanceof Date)return new Date(e.valueOf());if(i(e))return e;if(e instanceof RegExp)throw new TypeError("Cannot clone "+e);return o.map(e,t)},o.map=function(e,t){var r={};for(var n in e)o.hasOwnProperty(e,n)&&(r[n]=t(e[n]));return r},o.extend=function(e,t){for(var r in t)o.hasOwnProperty(t,r)&&(e[r]=t[r]);return e},o.deepExtend=function e(t,r){if(Array.isArray(r))throw new TypeError("Arrays are not supported by deepExtend");for(var n in r)if(o.hasOwnProperty(r,n))if(r[n]&&r[n].constructor===Object)void 0===t[n]&&(t[n]={}),t[n].constructor===Object?e(t[n],r[n]):t[n]=r[n];else{if(Array.isArray(r[n]))throw new TypeError("Arrays are not supported by deepExtend");t[n]=r[n]}return t},o.deepEqual=function(e,t){var r,n,i;if(Array.isArray(e)){if(!Array.isArray(t))return!1;if(e.length!==t.length)return!1;for(n=0,i=e.length;n<i;n++)if(!o.deepEqual(e[n],t[n]))return!1;return!0}if(e instanceof Object){if(Array.isArray(t)||!(t instanceof Object))return!1;for(r in e)if(!o.deepEqual(e[r],t[r]))return!1;for(r in t)if(!o.deepEqual(e[r],t[r]))return!1;return!0}return e===t},o.canDefineProperty=function(){try{if(Object.defineProperty)return Object.defineProperty({},"x",{get:function(){}}),!0}catch(e){}return!1},o.lazy=function(e,t,r){if(o.canDefineProperty()){var n,i=!0;Object.defineProperty(e,t,{get:function(){return i&&(n=r(),i=!1),n},set:function(e){n=e,i=!1},configurable:!0,enumerable:!0})}else e[t]=r()},o.traverse=function(e,t){var r=e;if(t)for(var n=t.split("."),i=0;i<n.length;i++){var o=n[i];o in r||(r[o]={}),r=r[o]}return r},o.hasOwnProperty=function(e,t){return e&&Object.hasOwnProperty.call(e,t)},o.isFactory=function(e){return e&&"function"==typeof e.factory}},function(e,t,r){"use strict";var p=r(5).clone;t.name="algorithm14",t.factory=function(e,t,r,f){var l=e.DenseMatrix;return function(e,t,r,n){var i,o=e._data,a=e._size,s=e._datatype,u=r;"string"==typeof s&&(i=s,t=f.convert(t,i),u=f.find(r,[i,i]));var c=0<a.length?function e(t,r,n,i,o,a,s){var u=[];if(r===n.length-1)for(var c=0;c<i;c++)u[c]=s?t(a,o[c]):t(o[c],a);else for(var f=0;f<i;f++)u[f]=e(t,r+1,n,n[r+1],o[f],a,s);return u}(u,0,a,a[0],o,t,n):[];return new l({data:c,size:p(a),datatype:i})}}},function(e,t,r){"use strict";var y=r(8);t.name="algorithm13",t.factory=function(e,t,r,h){var d=e.DenseMatrix;return function(e,t,r){var n,i=e._data,o=e._size,a=e._datatype,s=t._data,u=t._size,c=t._datatype,f=[];if(o.length!==u.length)throw new y(o.length,u.length);for(var l=0;l<o.length;l++){if(o[l]!==u[l])throw new RangeError("Dimension mismatch. Matrix A ("+o+") must match Matrix B ("+u+")");f[l]=o[l]}var p=r;"string"==typeof a&&a===c&&(n=a,p=h.find(r,[n,n]));var m=0<f.length?function e(t,r,n,i,o,a){var s=[];if(r===n.length-1)for(var u=0;u<i;u++)s[u]=t(o[u],a[u]);else for(var c=0;c<i;c++)s[c]=e(t,r+1,n,n[r+1],o[c],a[c]);return s}(p,0,f,f[0],i,s):[];return new d({data:m,size:f,datatype:n})}}},function(e,t,r){"use strict";function n(e,t,r){if(!(this instanceof n))throw new SyntaxError("Constructor must be called with the new operator");this.actual=e,this.expected=t,this.relation=r,this.message="Dimension mismatch ("+(Array.isArray(e)?"["+e.join(", ")+"]":e)+" "+(this.relation||"!=")+" "+(Array.isArray(t)?"["+t.join(", ")+"]":t)+")",this.stack=(new Error).stack}(n.prototype=new RangeError).constructor=RangeError,n.prototype.name="DimensionError",n.prototype.isDimensionError=!0,e.exports=n},function(e,a,t){"use strict";function i(e){return(i="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}var o=t(3).format,s=t(173).format,u=t(80);a.isString=function(e){return"string"==typeof e},a.endsWith=function(e,t){var r=e.length-t.length,n=e.length;return e.substring(r,n)===t},a.format=function(e,t){if("number"==typeof e)return o(e,t);if(u(e))return s(e,t);if(function(e){return e&&"object"===i(e)&&"number"==typeof e.s&&"number"==typeof e.n&&"number"==typeof e.d||!1}(e))return t&&"decimal"===t.fraction?e.toString():e.s*e.n+"/"+e.d;if(Array.isArray(e))return function e(t,r){{if(Array.isArray(t)){for(var n="[",i=t.length,o=0;o<i;o++)0!==o&&(n+=", "),n+=e(t[o],r);return n+="]"}return a.format(t,r)}}(e,t);if(a.isString(e))return'"'+e+'"';if("function"==typeof e)return e.syntax?String(e.syntax):"function";if(e&&"object"===i(e)){if("function"==typeof e.format)return e.format(t);if(e&&e.toString()!=={}.toString())return e.toString();var r=[];for(var n in e)e.hasOwnProperty(n)&&r.push('"'+n+'": '+a.format(e[n],t));return"{"+r.join(", ")+"}"}return String(e)},a.stringify=function(e){for(var t=String(e),r="",n=0;n<t.length;){var i=t.charAt(n);"\\"===i?(r+=i,n++,""!==(i=t.charAt(n))&&-1!=='"\\/bfnrtu'.indexOf(i)||(r+="\\"),r+=i):r+='"'===i?'\\"':i,n++}return'"'+r+'"'},a.escape=function(e){var t=String(e);return t=t.replace(/&/g,"&amp;").replace(/"/g,"&quot;").replace(/'/g,"&#39;").replace(/</g,"&lt;").replace(/>/g,"&gt;")}},function(e,t,l){"use strict";var p=l(5).extend,m=l(2);t.name="multiply",t.factory=function(n,e,t,R){var r=l(4),i=t(l(1)),q=t(l(17)),U=t(l(21)),k=t(l(11)),o=t(l(20)),a=t(l(6)),b=n.DenseMatrix,D=n.SparseMatrix,s=R("multiply",p({"Array, Array":function(e,t){u(m.size(e),m.size(t));var r=s(i(e),i(t));return n.isMatrix(r)?r.valueOf():r},"Matrix, Matrix":function(e,t){var r=e.size(),n=t.size();return u(r,n),1===r.length?1===n.length?function(e,t,r){if(0===r)throw new Error("Cannot multiply two empty vectors");var n,i=e._data,o=e._datatype,a=t._data,s=t._datatype,u=q,c=U;o&&s&&o===s&&"string"==typeof o&&(n=o,u=R.find(q,[n,n]),c=R.find(U,[n,n]));for(var f=c(i[0],a[0]),l=1;l<r;l++)f=u(f,c(i[l],a[l]));return f}(e,t,r[0]):function(e,t){if("dense"===t.storage())return function(e,t){var r,n=e._data,i=e._size,o=e._datatype,a=t._data,s=t._size,u=t._datatype,c=i[0],f=s[1],l=q,p=U;o&&u&&o===u&&"string"==typeof o&&(r=o,l=R.find(q,[r,r]),p=R.find(U,[r,r]));for(var m=[],h=0;h<f;h++){for(var d=p(n[0],a[0][h]),y=1;y<c;y++)d=l(d,p(n[y],a[y][h]));m[h]=d}return new b({data:m,size:[f],datatype:r})}(e,t);throw new Error("Support for SparseMatrix not implemented")}(e,t):1===n.length?c(e,t):f(e,t)},"Matrix, Array":function(e,t){return s(e,i(t))},"Array, Matrix":function(e,t){return s(i(e,t.storage()),t)},"SparseMatrix, any":function(e,t){return o(e,t,U,!1)},"DenseMatrix, any":function(e,t){return a(e,t,U,!1)},"any, SparseMatrix":function(e,t){return o(t,e,U,!0)},"any, DenseMatrix":function(e,t){return a(t,e,U,!0)},"Array, any":function(e,t){return a(i(e),t,U,!1).valueOf()},"any, Array":function(e,t){return a(i(t),e,U,!0).valueOf()},"any, any":U,"any, any, ...any":function(e,t,r){for(var n=s(e,t),i=0;i<r.length;i++)n=s(n,r[i]);return n}},U.signatures));function u(e,t){switch(e.length){case 1:switch(t.length){case 1:if(e[0]!==t[0])throw new RangeError("Dimension mismatch in multiplication. Vectors must have the same length");break;case 2:if(e[0]!==t[0])throw new RangeError("Dimension mismatch in multiplication. Vector length ("+e[0]+") must match Matrix rows ("+t[0]+")");break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has "+t.length+" dimensions)")}break;case 2:switch(t.length){case 1:if(e[1]!==t[0])throw new RangeError("Dimension mismatch in multiplication. Matrix columns ("+e[1]+") must match Vector length ("+t[0]+")");break;case 2:if(e[1]!==t[0])throw new RangeError("Dimension mismatch in multiplication. Matrix A columns ("+e[1]+") must match Matrix B rows ("+t[0]+")");break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has "+t.length+" dimensions)")}break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix A has "+e.length+" dimensions)")}}var c=R("_multiplyMatrixVector",{"DenseMatrix, any":function(e,t){var r,n=e._data,i=e._size,o=e._datatype,a=t._data,s=t._datatype,u=i[0],c=i[1],f=q,l=U;o&&s&&o===s&&"string"==typeof o&&(r=o,f=R.find(q,[r,r]),l=R.find(U,[r,r]));for(var p=[],m=0;m<u;m++){for(var h=n[m],d=l(h[0],a[0]),y=1;y<c;y++)d=f(d,l(h[y],a[y]));p[m]=d}return new b({data:p,size:[u],datatype:r})},"SparseMatrix, any":function(e,t){var r=e._values,n=e._index,i=e._ptr,o=e._datatype;if(!r)throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix");var a,s=t._data,u=t._datatype,c=e._size[0],f=t._size[0],l=[],p=[],m=[],h=q,d=U,y=k,g=0;o&&u&&o===u&&"string"==typeof o&&(a=o,h=R.find(q,[a,a]),d=R.find(U,[a,a]),y=R.find(k,[a,a]),g=R.convert(0,a));for(var v=[],x=[],b=m[0]=0;b<f;b++){var w=s[b];if(!y(w,g))for(var N=i[b],M=i[b+1],E=N;E<M;E++){var A=n[E];x[A]?v[A]=h(v[A],d(w,r[E])):(x[A]=!0,p.push(A),v[A]=d(w,r[E]))}}for(var S=p.length,O=0;O<S;O++){var T=p[O];l[O]=v[T]}return m[1]=p.length,new D({values:l,index:p,ptr:m,size:[c,1],datatype:a})}}),f=R("_multiplyMatrixMatrix",{"DenseMatrix, DenseMatrix":function(e,t){var r,n=e._data,i=e._size,o=e._datatype,a=t._data,s=t._size,u=t._datatype,c=i[0],f=i[1],l=s[1],p=q,m=U;o&&u&&o===u&&"string"==typeof o&&(r=o,p=R.find(q,[r,r]),m=R.find(U,[r,r]));for(var h=[],d=0;d<c;d++){var y=n[d];h[d]=[];for(var g=0;g<l;g++){for(var v=m(y[0],a[0][g]),x=1;x<f;x++)v=p(v,m(y[x],a[x][g]));h[d][g]=v}}return new b({data:h,size:[c,l],datatype:r})},"DenseMatrix, SparseMatrix":function(e,t){var r=e._data,n=e._size,i=e._datatype,o=t._values,a=t._index,s=t._ptr,u=t._size,c=t._datatype;if(!o)throw new Error("Cannot multiply Dense Matrix times Pattern only Matrix");var f,l=n[0],p=u[1],m=q,h=U,d=k,y=0;i&&c&&i===c&&"string"==typeof i&&(f=i,m=R.find(q,[f,f]),h=R.find(U,[f,f]),d=R.find(k,[f,f]),y=R.convert(0,f));for(var g=[],v=[],x=[],b=new D({values:g,index:v,ptr:x,size:[l,p],datatype:f}),w=0;w<p;w++){x[w]=v.length;var N=s[w],M=s[w+1];if(N<M)for(var E=0,A=0;A<l;A++){for(var S=A+1,O=void 0,T=N;T<M;T++){var _=a[T];E!==S?(O=h(r[A][_],o[T]),E=S):O=m(O,h(r[A][_],o[T]))}E!==S||d(O,y)||(v.push(A),g.push(O))}}return x[p]=v.length,b},"SparseMatrix, DenseMatrix":function(e,t){var r=e._values,n=e._index,i=e._ptr,o=e._datatype;if(!r)throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix");var a,s=t._data,u=t._datatype,c=e._size[0],f=t._size[0],l=t._size[1],p=q,m=U,h=k,d=0;o&&u&&o===u&&"string"==typeof o&&(a=o,p=R.find(q,[a,a]),m=R.find(U,[a,a]),h=R.find(k,[a,a]),d=R.convert(0,a));for(var y=[],g=[],v=[],x=new D({values:y,index:g,ptr:v,size:[c,l],datatype:a}),b=[],w=[],N=0;N<l;N++){v[N]=g.length;for(var M=N+1,E=0;E<f;E++){var A=s[E][N];if(!h(A,d))for(var S=i[E],O=i[E+1],T=S;T<O;T++){var _=n[T];w[_]!==M?(w[_]=M,g.push(_),b[_]=m(A,r[T])):b[_]=p(b[_],m(A,r[T]))}}for(var C=v[N],B=g.length,z=C;z<B;z++){var I=g[z];y[z]=b[I]}}return v[l]=g.length,x},"SparseMatrix, SparseMatrix":function(e,t){var r,n=e._values,i=e._index,o=e._ptr,a=e._datatype,s=t._values,u=t._index,c=t._ptr,f=t._datatype,l=e._size[0],p=t._size[1],m=n&&s,h=q,d=U;a&&f&&a===f&&"string"==typeof a&&(r=a,h=R.find(q,[r,r]),d=R.find(U,[r,r]));for(var y,g,v,x,b,w,N,M,E=m?[]:void 0,A=[],S=[],O=new D({values:E,index:A,ptr:S,size:[l,p],datatype:r}),T=m?[]:void 0,_=[],C=0;C<p;C++){S[C]=A.length;var B=C+1;for(b=c[C],w=c[C+1],x=b;x<w;x++)if(M=u[x],m)for(g=o[M],v=o[M+1],y=g;y<v;y++)N=i[y],_[N]!==B?(_[N]=B,A.push(N),T[N]=d(s[x],n[y])):T[N]=h(T[N],d(s[x],n[y]));else for(g=o[M],v=o[M+1],y=g;y<v;y++)N=i[y],_[N]!==B&&(_[N]=B,A.push(N));if(m)for(var z=S[C],I=A.length,k=z;k<I;k++){var P=A[k];E[k]=T[P]}}return S[p]=A.length,O}});return s.toTex={2:"\\left(${args[0]}".concat(r.operators.multiply,"${args[1]}\\right)")},s}},function(e,t,r){"use strict";var o=r(3).nearlyEqual,a=r(32);t.factory=function(e,r,t,n){var i=n("equalScalar",{"boolean, boolean":function(e,t){return e===t},"number, number":function(e,t){return e===t||o(e,t,r.epsilon)},"BigNumber, BigNumber":function(e,t){return e.eq(t)||a(e,t,r.epsilon)},"Fraction, Fraction":function(e,t){return e.equals(t)},"Complex, Complex":function(e,t){return e.equals(t)},"Unit, Unit":function(e,t){if(!e.equalBase(t))throw new Error("Cannot compare units with different base");return i(e.value,t.value)}});return i}},function(e,t,s){"use strict";t.factory=function(e,t,r,n){var i=r(s(65)),o=r(s(24)),a=n("divide",{"number, number":function(e,t){return e/t},"Complex, Complex":function(e,t){return e.div(t)},"BigNumber, BigNumber":function(e,t){return e.div(t)},"Fraction, Fraction":function(e,t){return e.div(t)},"Unit, number | Fraction | BigNumber":function(e,t){var r=e.clone(),n=i(1,o(t));return r.value=a(null===r.value?r._normalize(n):r.value,t),r},"number | Fraction | BigNumber, Unit":function(e,t){var r=t.clone();r=r.pow(-1);var n=i(1,o(e));return r.value=a(e,null===t.value?t._normalize(n):t.value),r},"Unit, Unit":function(e,t){return e.divide(t)}});return a}},function(e,t,r){"use strict";function n(e){return(n="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}var i=r(5).hasOwnProperty;function o(e,t){return!(!e||"object"!==n(e))&&(!!i(u,t)||!(t in Object.prototype)&&!(t in Function.prototype))}function a(e,t){return!(!e||"function"!=typeof e[t])&&(!(i(e,t)&&Object.getPrototypeOf&&t in Object.getPrototypeOf(e))&&(!!i(c,t)||!(t in Object.prototype)&&!(t in Function.prototype)))}function s(e){return"object"===n(e)&&e&&e.constructor===Object}var u={length:!0,name:!0},c={toString:!0,valueOf:!0,toLocaleString:!0};t.getSafeProperty=function(e,t){if(s(e)&&o(e,t))return e[t];if("function"==typeof e[t]&&a(e,t))throw new Error('Cannot access method "'+t+'" as a property');throw new Error('No access to property "'+t+'"')},t.setSafeProperty=function(e,t,r){if(s(e)&&o(e,t))return e[t]=r;throw new Error('No access to property "'+t+'"')},t.isSafeProperty=o,t.validateSafeMethod=function(e,t){if(!a(e,t))throw new Error('No access to method "'+t+'"')},t.isSafeMethod=a,t.isPlainObject=s},function(e,t,m){"use strict";var h=m(5).extend;t.name="add",t.factory=function(e,t,r,n){var i=r(m(1)),o=r(m(17)),a=m(4),s=r(m(37)),u=r(m(84)),c=r(m(41)),f=r(m(7)),l=r(m(6)),p=n("add",h({"DenseMatrix, DenseMatrix":function(e,t){return f(e,t,o)},"DenseMatrix, SparseMatrix":function(e,t){return s(e,t,o,!1)},"SparseMatrix, DenseMatrix":function(e,t){return s(t,e,o,!0)},"SparseMatrix, SparseMatrix":function(e,t){return u(e,t,o)},"Array, Array":function(e,t){return p(i(e),i(t)).valueOf()},"Array, Matrix":function(e,t){return p(i(e),t)},"Matrix, Array":function(e,t){return p(e,i(t))},"DenseMatrix, any":function(e,t){return l(e,t,o,!1)},"SparseMatrix, any":function(e,t){return c(e,t,o,!1)},"any, DenseMatrix":function(e,t){return l(t,e,o,!0)},"any, SparseMatrix":function(e,t){return c(t,e,o,!0)},"Array, any":function(e,t){return l(i(e),t,o,!1).valueOf()},"any, Array":function(e,t){return l(i(t),e,o,!0).valueOf()},"any, any":o,"any, any, ...any":function(e,t,r){for(var n=p(e,t),i=0;i<r.length;i++)n=p(n,r[i]);return n}},o.signatures));return p.toTex={2:"\\left(${args[0]}".concat(a.operators.add,"${args[1]}\\right)")},p}},function(e,t,d){"use strict";var i=d(8);function y(e,t){var r=e.size(),n=t.size();if(r.length!==n.length)throw new i(r.length,n.length)}t.name="subtract",t.factory=function(e,t,r,n){var i=d(4),o=r(d(1)),a=r(d(17)),s=r(d(39)),u=r(d(37)),c=r(d(18)),f=r(d(66)),l=r(d(41)),p=r(d(7)),m=r(d(6)),h=n("subtract",{"number, number":function(e,t){return e-t},"Complex, Complex":function(e,t){return e.sub(t)},"BigNumber, BigNumber":function(e,t){return e.minus(t)},"Fraction, Fraction":function(e,t){return e.sub(t)},"Unit, Unit":function(e,t){if(null===e.value)throw new Error("Parameter x contains a unit with undefined value");if(null===t.value)throw new Error("Parameter y contains a unit with undefined value");if(!e.equalBase(t))throw new Error("Units do not match");var r=e.clone();return r.value=h(r.value,t.value),r.fixPrefix=!1,r},"SparseMatrix, SparseMatrix":function(e,t){return y(e,t),f(e,t,h)},"SparseMatrix, DenseMatrix":function(e,t){return y(e,t),c(t,e,h,!0)},"DenseMatrix, SparseMatrix":function(e,t){return y(e,t),u(e,t,h,!1)},"DenseMatrix, DenseMatrix":function(e,t){return y(e,t),p(e,t,h)},"Array, Array":function(e,t){return h(o(e),o(t)).valueOf()},"Array, Matrix":function(e,t){return h(o(e),t)},"Matrix, Array":function(e,t){return h(e,o(t))},"SparseMatrix, any":function(e,t){return l(e,s(t),a)},"DenseMatrix, any":function(e,t){return m(e,t,h)},"any, SparseMatrix":function(e,t){return l(t,e,h,!0)},"any, DenseMatrix":function(e,t){return m(t,e,h,!0)},"Array, any":function(e,t){return m(o(e),t,h,!1).valueOf()},"any, Array":function(e,t){return m(o(t),e,h,!0).valueOf()}});return h.toTex={2:"\\left(${args[0]}".concat(i.operators.subtract,"${args[1]}\\right)")},h}},function(e,t,r){"use strict";function a(e){return(a="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}var s=r(113),u=r(5).deepEqual,c=r(5).hasOwnProperty;t.name="Node",t.path="expression.node",t.math=!0,t.factory=function(t,e,r,n,i){function o(){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator")}return o.prototype.eval=function(e){return this.compile().eval(e)},o.prototype.type="Node",o.prototype.isNode=!0,o.prototype.comment="",o.prototype.compile=function(){var r=this._compile(i.expression.mathWithTransform,{}),n={};return{eval:function(e){var t=e||{};return function(e){for(var t in e)if(c(e,t)&&t in s)throw new Error('Scope contains an illegal symbol, "'+t+'" is a reserved keyword')}(t),r(t,n,null)}}},o.prototype._compile=function(e,t){throw new Error("Method _compile should be implemented by type "+this.type)},o.prototype.forEach=function(e){throw new Error("Cannot run forEach on a Node interface")},o.prototype.map=function(e){throw new Error("Cannot run map on a Node interface")},o.prototype._ifNode=function(e){if(!t.isNode(e))throw new TypeError("Callback function must return a Node");return e},o.prototype.traverse=function(e){e(this,null,null),function n(e,i){e.forEach(function(e,t,r){i(e,t,r),n(e,i)})}(this,e)},o.prototype.transform=function(e){return function n(e,i){return e.map(function(e,t,r){return n(i(e,t,r),i)})}(e(this,null,null),e)},o.prototype.filter=function(n){var i=[];return this.traverse(function(e,t,r){n(e,t,r)&&i.push(e)}),i},o.prototype.find=function(){throw new Error("Function Node.find is deprecated. Use Node.filter instead.")},o.prototype.match=function(){throw new Error("Function Node.match is deprecated. See functions Node.filter, Node.transform, Node.traverse.")},o.prototype.clone=function(){throw new Error("Cannot clone a Node interface")},o.prototype.cloneDeep=function(){return this.map(function(e){return e.cloneDeep()})},o.prototype.equals=function(e){return!!e&&u(this,e)},o.prototype.toString=function(e){var t;if(e&&"object"===a(e))switch(a(e.handler)){case"object":case"undefined":break;case"function":t=e.handler(this,e);break;default:throw new TypeError("Object or function expected as callback")}return void 0!==t?t:this._toString(e)},o.prototype.toJSON=function(){throw new Error("Cannot serialize object: toJSON not implemented by "+this.type)},o.prototype.toHTML=function(e){var t;if(e&&"object"===a(e))switch(a(e.handler)){case"object":case"undefined":break;case"function":t=e.handler(this,e);break;default:throw new TypeError("Object or function expected as callback")}return void 0!==t?t:this.toHTML(e)},o.prototype._toString=function(){throw new Error("_toString not implemented for "+this.type)},o.prototype.toTex=function(e){var t;if(e&&"object"===a(e))switch(a(e.handler)){case"object":case"undefined":break;case"function":t=e.handler(this,e);break;default:throw new TypeError("Object or function expected as callback")}return void 0!==t?t:this._toTex(e)},o.prototype._toTex=function(e){throw new Error("_toTex not implemented for "+this.type)},o.prototype.getIdentifier=function(){return this.type},o.prototype.getContent=function(){return this},o}},function(e,t,r){"use strict";t.factory=function(e,t,r,n){var i=n("add",{"number, number":function(e,t){return e+t},"Complex, Complex":function(e,t){return e.add(t)},"BigNumber, BigNumber":function(e,t){return e.plus(t)},"Fraction, Fraction":function(e,t){return e.add(t)},"Unit, Unit":function(e,t){if(null===e.value||void 0===e.value)throw new Error("Parameter x contains a unit with undefined value");if(null===t.value||void 0===t.value)throw new Error("Parameter y contains a unit with undefined value");if(!e.equalBase(t))throw new Error("Units do not match");var r=e.clone();return r.value=i(r.value,t.value),r.fixPrefix=!1,r}});return i}},function(e,t,r){"use strict";var C=r(8);t.name="algorithm03",t.factory=function(e,t,r,T){var _=e.DenseMatrix;return function(e,t,r,n){var i=e._data,o=e._size,a=e._datatype,s=t._values,u=t._index,c=t._ptr,f=t._size,l=t._datatype;if(o.length!==f.length)throw new C(o.length,f.length);if(o[0]!==f[0]||o[1]!==f[1])throw new RangeError("Dimension mismatch. Matrix A ("+o+") must match Matrix B ("+f+")");if(!s)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var p,m=o[0],h=o[1],d=0,y=r;"string"==typeof a&&a===l&&(p=a,d=T.convert(0,p),y=T.find(r,[p,p]));for(var g=[],v=0;v<m;v++)g[v]=[];for(var x=[],b=[],w=0;w<h;w++){for(var N=w+1,M=c[w],E=c[w+1],A=M;A<E;A++){var S=u[A];x[S]=n?y(s[A],i[S][w]):y(i[S][w],s[A]),b[S]=N}for(var O=0;O<m;O++)b[O]===N?g[O][w]=x[O]:g[O][w]=n?y(d,i[O][w]):y(i[O][w],d)}return new _({data:g,size:[m,h],datatype:p})}}},function(e,t,r){"use strict";t.name="algorithm12",t.factory=function(e,t,r,E){var A=e.DenseMatrix;return function(e,t,r,n){var i=e._values,o=e._index,a=e._ptr,s=e._size,u=e._datatype;if(!i)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var c,f=s[0],l=s[1],p=r;"string"==typeof u&&(c=u,t=E.convert(t,c),p=E.find(r,[c,c]));for(var m=[],h=new A({data:m,size:[f,l],datatype:c}),d=[],y=[],g=0;g<l;g++){for(var v=g+1,x=a[g],b=a[g+1],w=x;w<b;w++){var N=o[w];d[N]=i[w],y[N]=v}for(var M=0;M<f;M++)0===g&&(m[M]=[]),y[M]===v?m[M][g]=n?p(t,d[M]):p(d[M],t):m[M][g]=n?p(t,0):p(0,t)}return h}}},function(e,t,n){"use strict";t.name="algorithm11",t.factory=function(e,t,r,A){var S=r(n(11)),O=e.SparseMatrix;return function(e,t,r,n){var i=e._values,o=e._index,a=e._ptr,s=e._size,u=e._datatype;if(!i)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var c,f=s[0],l=s[1],p=S,m=0,h=r;"string"==typeof u&&(c=u,p=A.find(S,[c,c]),m=A.convert(0,c),t=A.convert(t,c),h=A.find(r,[c,c]));for(var d=[],y=[],g=[],v=new O({values:d,index:y,ptr:g,size:[f,l],datatype:c}),x=0;x<l;x++){g[x]=y.length;for(var b=a[x],w=a[x+1],N=b;N<w;N++){var M=o[N],E=n?h(t,i[N]):h(i[N],t);p(E,m)||(y.push(M),d.push(E))}}return g[l]=y.length,v}}},function(e,t,r){"use strict";t.factory=function(e,t,r,n){var i=n("multiplyScalar",{"number, number":function(e,t){return e*t},"Complex, Complex":function(e,t){return e.mul(t)},"BigNumber, BigNumber":function(e,t){return e.times(t)},"Fraction, Fraction":function(e,t){return e.mul(t)},"number | Fraction | BigNumber | Complex, Unit":function(e,t){var r=t.clone();return r.value=null===r.value?r._normalize(e):i(r.value,e),r},"Unit, number | Fraction | BigNumber | Complex":function(e,t){var r=e.clone();return r.value=null===r.value?r._normalize(t):i(r.value,t),r},"Unit, Unit":function(e,t){return e.multiply(t)}});return i}},function(e,t,s){"use strict";var u=s(5).clone,f=s(2).validateIndex,n=s(13).getSafeProperty,o=s(13).setSafeProperty,l=s(8);function c(e,t){if(1!==t.size().length)throw new l(t.size(),1);var r=t.dimension(0);if("string"!=typeof r)throw new TypeError("String expected as index to retrieve an object property");return n(e,r)}function p(e,t,r){if(1!==t.size().length)throw new l(t.size(),1);var n=t.dimension(0);if("string"!=typeof n)throw new TypeError("String expected as index to retrieve an object property");var i=u(e);return o(i,n,r),i}t.name="subset",t.factory=function(o,e,t,r){var i=t(s(1)),n=r("subset",{"Array, Index":function(e,t){var r=i(e).subset(t);return t.isScalar()?r:r.valueOf()},"Matrix, Index":function(e,t){return e.subset(t)},"Object, Index":c,"string, Index":function(t,e){if(!o.isIndex(e))throw new TypeError("Index expected");if(1!==e.size().length)throw new l(e.size().length,1);var r=t.length;f(e.min()[0],r),f(e.max()[0],r);var n=e.dimension(0),i="";return n.forEach(function(e){i+=t.charAt(e)}),i},"Array, Index, any":function(e,t,r){return i(u(e)).subset(t,r,void 0).valueOf()},"Array, Index, any, any":function(e,t,r,n){return i(u(e)).subset(t,r,n).valueOf()},"Matrix, Index, any":function(e,t,r){return e.clone().subset(t,r)},"Matrix, Index, any, any":function(e,t,r,n){return e.clone().subset(t,r,n)},"string, Index, string":a,"string, Index, string, string":a,"Object, Index, any":p});return n.toTex=void 0,n;function a(e,t,r,n){if(!t||!0!==t.isIndex)throw new TypeError("Index expected");if(1!==t.size().length)throw new l(t.size().length,1);if(void 0!==n){if("string"!=typeof n||1!==n.length)throw new TypeError("Single character expected as defaultValue")}else n=" ";var i=t.dimension(0);if(i.size()[0]!==r.length)throw new l(i.size()[0],r.length);var o=e.length;f(t.min()[0]),f(t.max()[0]);for(var a=[],s=0;s<o;s++)a[s]=e.charAt(s);if(i.forEach(function(e,t){a[e]=r.charAt(t[0])}),a.length>o)for(var u=o-1,c=a.length;u<c;u++)a[u]||(a[u]=n);return a.join("")}}},function(e,t,r){"use strict";var o=r(0);t.name="abs",t.factory=function(e,t,r,n){var i=n("abs",{number:Math.abs,Complex:function(e){return e.abs()},BigNumber:function(e){return e.abs()},Fraction:function(e){return e.abs()},"Array | Matrix":function(e){return o(e,i,!0)},Unit:function(e){return e.abs()}});return i.toTex={1:"\\left|${args[0]}\\right|"},i}},function(e,t,r){"use strict";function o(e){return(o="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}t.name="typeof",t.factory=function(r,e,t,n){var i=n("_typeof",{any:function(e){var t=o(e);return"object"===t?null===e?"null":Array.isArray(e)?"Array":e instanceof Date?"Date":e instanceof RegExp?"RegExp":r.isBigNumber(e)?"BigNumber":r.isComplex(e)?"Complex":r.isFraction(e)?"Fraction":r.isMatrix(e)?"Matrix":r.isUnit(e)?"Unit":r.isIndex(e)?"Index":r.isRange(e)?"Range":r.isResultSet(e)?"ResultSet":r.isNode(e)?e.type:r.isChain(e)?"Chain":r.isHelp(e)?"Help":"Object":"function"===t?"Function":t}});return i.toTex=void 0,i}},function(e,t,r){"use strict";var n=r(48);t.transform=function(e){return e&&e.isIndexError?new n(e.index+1,e.min+1,void 0!==e.max?e.max+1:void 0):e}},function(e,t,n){"use strict";var C=n(8);t.name="algorithm02",t.factory=function(e,t,r,O){var T=r(n(11)),_=e.SparseMatrix;return function(e,t,r,n){var i=e._data,o=e._size,a=e._datatype,s=t._values,u=t._index,c=t._ptr,f=t._size,l=t._datatype;if(o.length!==f.length)throw new C(o.length,f.length);if(o[0]!==f[0]||o[1]!==f[1])throw new RangeError("Dimension mismatch. Matrix A ("+o+") must match Matrix B ("+f+")");if(!s)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var p,m=o[0],h=o[1],d=T,y=0,g=r;"string"==typeof a&&a===l&&(p=a,d=O.find(T,[p,p]),y=O.convert(0,p),g=O.find(r,[p,p]));for(var v=[],x=[],b=[],w=0;w<h;w++){b[w]=x.length;for(var N=c[w],M=c[w+1],E=N;E<M;E++){var A=u[E],S=n?g(s[E],i[A][w]):g(i[A][w],s[E]);d(S,y)||(x.push(A),v.push(S))}}return b[h]=x.length,new _({values:v,index:x,ptr:b,size:[m,h],datatype:p})}}},function(e,t,a){"use strict";var s=a(2);t.name="size",t.factory=function(e,t,r,n){var i=r(a(1)),o=n("size",{Matrix:function(e){return i(e.size())},Array:s.size,string:function(e){return"Array"===t.matrix?[e.length]:i([e.length])},"number | Complex | BigNumber | Unit | boolean | null":function(e){return"Array"===t.matrix?[]:i([])}});return o.toTex=void 0,o}},function(e,t,r){"use strict";var S=r(8);t.name="algorithm07",t.factory=function(e,t,r,M){var E=e.DenseMatrix;function A(e,t,r,n,i){for(var o=e._values,a=e._index,s=e._ptr,u=s[t],c=s[t+1];u<c;u++){var f=a[u];r[f]=i,n[f]=o[u]}}return function(e,t,r){var n=e._size,i=e._datatype,o=t._size,a=t._datatype;if(n.length!==o.length)throw new S(n.length,o.length);if(n[0]!==o[0]||n[1]!==o[1])throw new RangeError("Dimension mismatch. Matrix A ("+n+") must match Matrix B ("+o+")");var s,u,c,f=n[0],l=n[1],p=0,m=r;"string"==typeof i&&i===a&&(s=i,p=M.convert(0,s),m=M.find(r,[s,s]));var h=[];for(u=0;u<f;u++)h[u]=[];var d=new E({data:h,size:[f,l],datatype:s}),y=[],g=[],v=[],x=[];for(c=0;c<l;c++){var b=c+1;for(A(e,c,v,y,b),A(t,c,x,g,b),u=0;u<f;u++){var w=v[u]===b?y[u]:p,N=x[u]===b?g[u]:p;h[u][c]=m(w,N)}}return d}}},function(e,t,r){"use strict";var n=r(5).clone,i=r(3).isInteger;t.name="Index",t.path="type",t.factory=function(a){function s(e){if(!(this instanceof s))throw new SyntaxError("Constructor must be called with the new operator");this._dimensions=[],this._isScalar=!0;for(var t=0,r=arguments.length;t<r;t++){var n=arguments[t];if(a.isRange(n))this._dimensions.push(n),this._isScalar=!1;else if(Array.isArray(n)||a.isMatrix(n)){var i=u(n.valueOf());this._dimensions.push(i);var o=i.size();1===o.length&&1===o[0]||(this._isScalar=!1)}else if("number"==typeof n)this._dimensions.push(u([n]));else{if("string"!=typeof n)throw new TypeError("Dimension must be an Array, Matrix, number, string, or Range");this._dimensions.push(n)}}}function u(e){for(var t=0,r=e.length;t<r;t++)if("number"!=typeof e[t]||!i(e[t]))throw new TypeError("Index parameters must be positive integer numbers");return new a.ImmutableDenseMatrix(e)}return s.prototype.type="Index",s.prototype.isIndex=!0,s.prototype.clone=function(){var e=new s;return e._dimensions=n(this._dimensions),e._isScalar=this._isScalar,e},s.create=function(e){var t=new s;return s.apply(t,e),t},s.prototype.size=function(){for(var e=[],t=0,r=this._dimensions.length;t<r;t++){var n=this._dimensions[t];e[t]="string"==typeof n?1:n.size()[0]}return e},s.prototype.max=function(){for(var e=[],t=0,r=this._dimensions.length;t<r;t++){var n=this._dimensions[t];e[t]="string"==typeof n?n:n.max()}return e},s.prototype.min=function(){for(var e=[],t=0,r=this._dimensions.length;t<r;t++){var n=this._dimensions[t];e[t]="string"==typeof n?n:n.min()}return e},s.prototype.forEach=function(e){for(var t=0,r=this._dimensions.length;t<r;t++)e(this._dimensions[t],t,this)},s.prototype.dimension=function(e){return this._dimensions[e]||null},s.prototype.isObjectProperty=function(){return 1===this._dimensions.length&&"string"==typeof this._dimensions[0]},s.prototype.getObjectProperty=function(){return this.isObjectProperty()?this._dimensions[0]:null},s.prototype.isScalar=function(){return this._isScalar},s.prototype.valueOf=s.prototype.toArray=function(){for(var e=[],t=0,r=this._dimensions.length;t<r;t++){var n=this._dimensions[t];e.push("string"==typeof n?n:n.toArray())}return e},s.prototype.toString=function(){for(var e=[],t=0,r=this._dimensions.length;t<r;t++){var n=this._dimensions[t];"string"==typeof n?e.push(JSON.stringify(n)):e.push(n.toString())}return"["+e.join(", ")+"]"},s.prototype.toJSON=function(){return{mathjs:"Index",dimensions:this._dimensions}},s.fromJSON=function(e){return s.create(e.dimensions)},s}},function(e,t,n){"use strict";var l=n(286);t.name="compareNatural",t.factory=function(o,e,t,r){var a=t(n(24)),s=t(n(55)),u=s.signatures["boolean,boolean"],c=r("compareNatural",{"any, any":function(e,t){var r,n=a(e),i=a(t);if(!("number"!==n&&"BigNumber"!==n&&"Fraction"!==n||"number"!==i&&"BigNumber"!==i&&"Fraction"!==i))return"0"!==(r=s(e,t)).toString()?0<r?1:-1:l(n,i);if("Array"===n||"Matrix"===n||"Array"===i||"Matrix"===i)return 0!==(r=function e(t,r){return o.isSparseMatrix(t)&&o.isSparseMatrix(r)?f(t.toJSON().values,r.toJSON().values):o.isSparseMatrix(t)?e(t.toArray(),r):o.isSparseMatrix(r)?e(t,r.toArray()):o.isDenseMatrix(t)?e(t.toJSON().data,r):o.isDenseMatrix(r)?e(t,r.toJSON().data):Array.isArray(t)?Array.isArray(r)?f(t,r):e(t,[r]):e([t],r)}(e,t))?r:l(n,i);if(n!==i)return l(n,i);if("Complex"===n)return function(e,t){return e.re>t.re?1:e.re<t.re?-1:e.im>t.im?1:e.im<t.im?-1:0}(e,t);if("Unit"===n)return e.equalBase(t)?c(e.value,t.value):f(e.formatUnits(),t.formatUnits());if("boolean"===n)return u(e,t);if("string"===n)return l(e,t);if("Object"===n)return function(e,t){var r=Object.keys(e),n=Object.keys(t);r.sort(l),n.sort(l);var i=f(r,n);if(0!==i)return i;for(var o=0;o<r.length;o++){var a=c(e[r[o]],t[n[o]]);if(0!==a)return a}return 0}(e,t);if("null"===n)return 0;if("undefined"===n)return 0;throw new TypeError('Unsupported type of value "'+n+'"')}});function f(e,t){for(var r=0,n=Math.min(e.length,t.length);r<n;r++){var i=c(e[r],t[r]);if(0!==i)return i}return e.length>t.length?1:e.length<t.length?-1:0}return c.toTex=void 0,c}},function(e,t,r){"use strict";t.array=r(2),t.boolean=r(183),t.function=r(36),t.number=r(3),t.object=r(5),t.string=r(9),t.emitter=r(103)},function(e,t,r){"use strict";e.exports=function(e,t,r){if(null==r)return e.eq(t);if(e.eq(t))return!0;if(e.isNaN()||t.isNaN())return!1;if(e.isFinite()&&t.isFinite()){var n=e.minus(t).abs();if(n.isZero())return!0;var i=e.constructor.max(e.abs(),t.abs());return n.lte(i.times(r))}return!1}},function(e,t,p){"use strict";var m=p(3).nearlyEqual,h=p(32);t.name="larger",t.factory=function(e,r,t,n){var i=t(p(1)),o=t(p(18)),a=t(p(28)),s=t(p(19)),u=t(p(7)),c=t(p(6)),f=p(4),l=n("larger",{"boolean, boolean":function(e,t){return t<e},"number, number":function(e,t){return t<e&&!m(e,t,r.epsilon)},"BigNumber, BigNumber":function(e,t){return e.gt(t)&&!h(e,t,r.epsilon)},"Fraction, Fraction":function(e,t){return 1===e.compare(t)},"Complex, Complex":function(){throw new TypeError("No ordering relation is defined for complex numbers")},"Unit, Unit":function(e,t){if(!e.equalBase(t))throw new Error("Cannot compare units with different base");return l(e.value,t.value)},"SparseMatrix, SparseMatrix":function(e,t){return a(e,t,l)},"SparseMatrix, DenseMatrix":function(e,t){return o(t,e,l,!0)},"DenseMatrix, SparseMatrix":function(e,t){return o(e,t,l,!1)},"DenseMatrix, DenseMatrix":function(e,t){return u(e,t,l)},"Array, Array":function(e,t){return l(i(e),i(t)).valueOf()},"Array, Matrix":function(e,t){return l(i(e),t)},"Matrix, Array":function(e,t){return l(e,i(t))},"SparseMatrix, any":function(e,t){return s(e,t,l,!1)},"DenseMatrix, any":function(e,t){return c(e,t,l,!1)},"any, SparseMatrix":function(e,t){return s(t,e,l,!0)},"any, DenseMatrix":function(e,t){return c(t,e,l,!0)},"Array, any":function(e,t){return c(i(e),t,l,!1).valueOf()},"any, Array":function(e,t){return c(i(t),e,l,!0).valueOf()}});return l.toTex={2:"\\left(${args[0]}".concat(f.operators.larger,"${args[1]}\\right)")},l}},function(e,t,r){"use strict";var o=r(0),a=r(3);t.name="isInteger",t.factory=function(e,t,r,n){var i=n("isInteger",{number:a.isInteger,BigNumber:function(e){return e.isInt()},Fraction:function(e){return 1===e.d&&isFinite(e.n)},"Array | Matrix":function(e){return o(e,i)}});return i}},function(e,t,r){"use strict";var n=r(56);e.exports=function(e){return Array.isArray(e)||n(e)}},function(e,t,r){"use strict";function a(e){return(a="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}t.memoize=function(i,o){return function e(){"object"!==a(e.cache)&&(e.cache={});for(var t=[],r=0;r<arguments.length;r++)t[r]=arguments[r];var n=o?o(t):JSON.stringify(t);return n in e.cache||(e.cache[n]=i.apply(i,t)),e.cache[n]}},t.maxArgumentCount=function(e){return Object.keys(e.signatures||{}).reduce(function(e,t){var r=(t.match(/,/g)||[]).length+1;return Math.max(e,r)},-1)},t.callWithRightArgumentCount=function(e,t,r){return Object.keys(e.signatures||{}).reduce(function(e,t){var r=(t.match(/,/g)||[]).length+1;return Math.max(e,r)},-1)}},function(e,t,r){"use strict";var O=r(8);t.name="algorithm01",t.factory=function(e,t,r,A){var S=e.DenseMatrix;return function(e,t,r,n){var i=e._data,o=e._size,a=e._datatype,s=t._values,u=t._index,c=t._ptr,f=t._size,l=t._datatype;if(o.length!==f.length)throw new O(o.length,f.length);if(o[0]!==f[0]||o[1]!==f[1])throw new RangeError("Dimension mismatch. Matrix A ("+o+") must match Matrix B ("+f+")");if(!s)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var p,m,h=o[0],d=o[1],y="string"==typeof a&&a===l?a:void 0,g=y?A.find(r,[y,y]):r,v=[];for(p=0;p<h;p++)v[p]=[];var x=[],b=[];for(m=0;m<d;m++){for(var w=m+1,N=c[m],M=c[m+1],E=N;E<M;E++)x[p=u[E]]=n?g(s[E],i[p][m]):g(i[p][m],s[E]),b[p]=w;for(p=0;p<h;p++)b[p]===w?v[p][m]=x[p]:v[p][m]=i[p][m]}return new S({data:v,size:[h,d],datatype:y})}}},function(e,t,p){"use strict";var m=p(3).nearlyEqual,h=p(32);t.name="smaller",t.factory=function(e,r,t,n){var i=t(p(1)),o=t(p(18)),a=t(p(28)),s=t(p(19)),u=t(p(7)),c=t(p(6)),f=p(4),l=n("smaller",{"boolean, boolean":function(e,t){return e<t},"number, number":function(e,t){return e<t&&!m(e,t,r.epsilon)},"BigNumber, BigNumber":function(e,t){return e.lt(t)&&!h(e,t,r.epsilon)},"Fraction, Fraction":function(e,t){return-1===e.compare(t)},"Complex, Complex":function(e,t){throw new TypeError("No ordering relation is defined for complex numbers")},"Unit, Unit":function(e,t){if(!e.equalBase(t))throw new Error("Cannot compare units with different base");return l(e.value,t.value)},"SparseMatrix, SparseMatrix":function(e,t){return a(e,t,l)},"SparseMatrix, DenseMatrix":function(e,t){return o(t,e,l,!0)},"DenseMatrix, SparseMatrix":function(e,t){return o(e,t,l,!1)},"DenseMatrix, DenseMatrix":function(e,t){return u(e,t,l)},"Array, Array":function(e,t){return l(i(e),i(t)).valueOf()},"Array, Matrix":function(e,t){return l(i(e),t)},"Matrix, Array":function(e,t){return l(e,i(t))},"SparseMatrix, any":function(e,t){return s(e,t,l,!1)},"DenseMatrix, any":function(e,t){return c(e,t,l,!1)},"any, SparseMatrix":function(e,t){return s(t,e,l,!0)},"any, DenseMatrix":function(e,t){return c(t,e,l,!0)},"Array, any":function(e,t){return c(i(e),t,l,!1).valueOf()},"any, Array":function(e,t){return c(i(t),e,l,!0).valueOf()}});return l.toTex={2:"\\left(${args[0]}".concat(f.operators.smaller,"${args[1]}\\right)")},l}},function(e,t,a){"use strict";var s=a(0);t.name="unaryMinus",t.factory=function(e,t,r,n){var i=a(4),o=n("unaryMinus",{number:function(e){return-e},Complex:function(e){return e.neg()},BigNumber:function(e){return e.neg()},Fraction:function(e){return e.neg()},Unit:function(e){var t=e.clone();return t.value=o(e.value),t},"Array | Matrix":function(e){return s(e,o,!0)}});return o.toTex={1:"".concat(i.operators.unaryMinus,"\\left(${args[0]}\\right)")},o}},function(e,t,o){"use strict";t.factory=function(e,t,r,n){var i=r(o(24));return function(e,t,r){var n;return-1!==String(e).indexOf("Unexpected type")?(n=2<arguments.length?" (type: "+i(r)+", value: "+JSON.stringify(r)+")":" (type: "+e.data.actual+")",new TypeError("Cannot calculate "+t+", unexpected type of argument"+n)):-1!==String(e).indexOf("complex numbers")?(n=2<arguments.length?" (type: "+i(r)+", value: "+JSON.stringify(r)+")":"",new TypeError("Cannot calculate "+t+", no ordering relation is defined for complex numbers"+n)):e}}},function(e,t,r){"use strict";t.name="algorithm10",t.factory=function(e,t,r,E){var A=e.DenseMatrix;return function(e,t,r,n){var i=e._values,o=e._index,a=e._ptr,s=e._size,u=e._datatype;if(!i)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var c,f=s[0],l=s[1],p=r;"string"==typeof u&&(c=u,t=E.convert(t,c),p=E.find(r,[c,c]));for(var m=[],h=new A({data:m,size:[f,l],datatype:c}),d=[],y=[],g=0;g<l;g++){for(var v=g+1,x=a[g],b=a[g+1],w=x;w<b;w++){var N=o[w];d[N]=i[w],y[N]=v}for(var M=0;M<f;M++)0===g&&(m[M]=[]),y[M]===v?m[M][g]=n?p(t,d[M]):p(d[M],t):m[M][g]=t}return h}}},function(e,t,h){"use strict";var d=h(3).isInteger,y=h(2).size;t.name="pow",t.factory=function(i,o,e,t){var r=h(4),a=e(h(50)),s=e(h(10)),n=e(h(1)),u=e(h(82)),c=e(h(64)),f=t("pow",{"number, number":l,"Complex, Complex":function(e,t){return e.pow(t)},"BigNumber, BigNumber":function(e,t){return t.isInteger()||0<=e||o.predictable?e.pow(t):new i.Complex(e.toNumber(),0).pow(t.toNumber(),0)},"Fraction, Fraction":function(e,t){if(1===t.d)return e.pow(t);if(o.predictable)throw new Error("Function pow does not support non-integer exponents for fractions.");return l(e.valueOf(),t.valueOf())},"Array, number":p,"Array, BigNumber":function(e,t){return p(e,t.toNumber())},"Matrix, number":m,"Matrix, BigNumber":function(e,t){return m(e,t.toNumber())},"Unit, number | BigNumber":function(e,t){return e.pow(t)}});function l(e,t){if(o.predictable&&!d(t)&&e<0)try{var r=u(t),n=c(r);if((t===n||Math.abs((t-n)/t)<1e-14)&&r.d%2==1)return(r.n%2==0?1:-1)*Math.pow(-e,t)}catch(e){}return e*e<1&&t===1/0||1<e*e&&t===-1/0?0:o.predictable&&(e<-1&&t===1/0||-1<e&&e<0&&t===-1/0)?NaN:d(t)||0<=e||o.predictable?Math.pow(e,t):new i.Complex(e,0).pow(t,0)}function p(e,t){if(!d(t)||t<0)throw new TypeError("For A^b, b must be a positive integer (value is "+t+")");var r=y(e);if(2!==r.length)throw new Error("For A^b, A must be 2 dimensional (A has "+r.length+" dimensions)");if(r[0]!==r[1])throw new Error("For A^b, A must be square (size is "+r[0]+"x"+r[1]+")");for(var n=a(r[0]).valueOf(),i=e;1<=t;)1==(1&t)&&(n=s(i,n)),t>>=1,i=s(i,i);return n}function m(e,t){return n(p(e.valueOf(),t))}return f.toTex={2:"\\left(${args[0]}\\right)".concat(r.operators.pow,"{${args[1]}}")},f}},function(e,t,s){"use strict";var u=s(3).isInteger,c=s(2).resize;t.name="zeros",t.factory=function(o,r,e,t){var a=e(s(1)),n=t("zeros",{"":function(){return"Array"===r.matrix?i([]):i([],"default")},"...number | BigNumber | string":function(e){if("string"!=typeof e[e.length-1])return"Array"===r.matrix?i(e):i(e,"default");var t=e.pop();return i(e,t)},Array:i,Matrix:function(e){var t=e.storage();return i(e.valueOf(),t)},"Array | Matrix, string":function(e,t){return i(e.valueOf(),t)}});return n.toTex=void 0,n;function i(e,t){var r=function(e){var n=!1;return e.forEach(function(e,t,r){o.isBigNumber(e)&&(n=!0,r[t]=e.toNumber())}),n}(e)?new o.BigNumber(0):0;if(function(e){e.forEach(function(e){if("number"!=typeof e||!u(e)||e<0)throw new Error("Parameters in function zeros must be positive integers")})}(e),t){var n=a(t);return 0<e.length?n.resize(e,r):n}var i=[];return 0<e.length?c(i,e,r):i}}},function(e,t,ie){"use strict";function oe(){return(oe=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var r=arguments[t];for(var n in r)Object.prototype.hasOwnProperty.call(r,n)&&(e[n]=r[n])}return e}).apply(this,arguments)}var ae=ie(57),se=ie(0);t.name="parse",t.path="expression",t.factory=function(a,s,e,t){var u=e(ie(65)),i=e(ie(112)),c=e(ie(115)),f=e(ie(116)),o=e(ie(117)),l=e(ie(118)),p=e(ie(58)),m=e(ie(119)),h=e(ie(120)),d=e(ie(121)),y=e(ie(59)),g=e(ie(68)),v=e(ie(69)),n=e(ie(122)),x=e(ie(123)),b=e(ie(54));function w(e,t){if(1!==arguments.length&&2!==arguments.length)throw new ae("parse",arguments.length,1,2);var r=t&&t.nodes?t.nodes:{};if("string"==typeof e)return R(e,r);if(Array.isArray(e)||e instanceof a.Matrix)return se(e,function(e){if("string"!=typeof e)throw new TypeError("String expected");return R(e,r)});throw new TypeError("String or matrix expected")}var N={NULL:0,DELIMITER:1,NUMBER:2,SYMBOL:3,UNKNOWN:4},M={",":!0,"(":!0,")":!0,"[":!0,"]":!0,"{":!0,"}":!0,'"':!0,"'":!0,";":!0,"+":!0,"-":!0,"*":!0,".*":!0,"/":!0,"./":!0,"%":!0,"^":!0,".^":!0,"~":!0,"!":!0,"&":!0,"|":!0,"^|":!0,"=":!0,":":!0,"?":!0,"==":!0,"!=":!0,"<":!0,">":!0,"<=":!0,">=":!0,"<<":!0,">>":!0,">>>":!0},E={mod:!0,to:!0,in:!0,and:!0,xor:!0,or:!0,not:!0},A={true:!0,false:!1,null:null,undefined:void 0},S=["NaN","Infinity"];function O(e,t){return e.expression.substr(e.index,t)}function T(e){return O(e,1)}function _(e){e.index++}function C(e){return e.expression.charAt(e.index-1)}function B(e){return e.expression.charAt(e.index+1)}function z(e){for(e.tokenType=N.NULL,e.token="",e.comment="";w.isWhitespace(T(e),e.nestingLevel);)_(e);if("#"===T(e))for(;"\n"!==T(e)&&""!==T(e);)e.comment+=T(e),_(e);if(""!==T(e)){if("\n"===T(e)&&!e.nestingLevel)return e.tokenType=N.DELIMITER,e.token=T(e),void _(e);var t=T(e),r=O(e,2),n=O(e,3);if(3===n.length&&M[n])return e.tokenType=N.DELIMITER,e.token=n,_(e),_(e),void _(e);if(2===r.length&&M[r])return e.tokenType=N.DELIMITER,e.token=r,_(e),void _(e);if(M[t])return e.tokenType=N.DELIMITER,e.token=t,void _(e);if(w.isDigitDot(t)){if(e.tokenType=N.NUMBER,"."===T(e))e.token+=T(e),_(e),w.isDigit(T(e))||(e.tokenType=N.DELIMITER);else{for(;w.isDigit(T(e));)e.token+=T(e),_(e);w.isDecimalMark(T(e),B(e))&&(e.token+=T(e),_(e))}for(;w.isDigit(T(e));)e.token+=T(e),_(e);if("E"===T(e)||"e"===T(e))if(w.isDigit(B(e))||"-"===B(e)||"+"===B(e)){if(e.token+=T(e),_(e),"+"!==T(e)&&"-"!==T(e)||(e.token+=T(e),_(e)),!w.isDigit(T(e)))throw re(e,'Digit expected, got "'+T(e)+'"');for(;w.isDigit(T(e));)e.token+=T(e),_(e);if(w.isDecimalMark(T(e),B(e)))throw re(e,'Digit expected, got "'+T(e)+'"')}else if("."===B(e))throw _(e),re(e,'Digit expected, got "'+T(e)+'"')}else{if(!w.isAlpha(T(e),C(e),B(e))){for(e.tokenType=N.UNKNOWN;""!==T(e);)e.token+=T(e),_(e);throw re(e,'Syntax error in part "'+e.token+'"')}for(;w.isAlpha(T(e),C(e),B(e))||w.isDigit(T(e));)e.token+=T(e),_(e);E.hasOwnProperty(e.token)?e.tokenType=N.DELIMITER:e.tokenType=N.SYMBOL}}else e.tokenType=N.DELIMITER}function I(e){for(;z(e),"\n"===e.token;);}function k(e){e.nestingLevel++}function P(e){e.nestingLevel--}function R(e,t){var r={extraNodes:{},expression:"",comment:"",index:0,token:"",tokenType:N.NULL,nestingLevel:0,conditionalLevel:null};oe(r,{expression:e,extraNodes:t}),z(r);var n=function(e){var t,r,n=[];for(""!==e.token&&"\n"!==e.token&&";"!==e.token&&((t=q(e)).comment=e.comment);"\n"===e.token||";"===e.token;)0===n.length&&t&&(r=";"!==e.token,n.push({node:t,visible:r})),z(e),"\n"!==e.token&&";"!==e.token&&""!==e.token&&((t=q(e)).comment=e.comment,r=";"!==e.token,n.push({node:t,visible:r}));return 0<n.length?new o(n):(t||((t=new p(void 0)).comment=e.comment),t)}(r);if(""!==r.token)throw r.tokenType===N.DELIMITER?ne(r,"Unexpected operator "+r.token):re(r,'Unexpected part "'+r.token+'"');return n}function q(e){var t,r,n,i,o=function(e){for(var t=function(e){for(var t=U(e);"or"===e.token;)I(e),t=new y("or","or",[t,U(e)]);return t}(e);"?"===e.token;){var r=e.conditionalLevel;e.conditionalLevel=e.nestingLevel,I(e);var n=t,i=q(e);if(":"!==e.token)throw re(e,"False part of conditional expression expected");e.conditionalLevel=null,I(e);var o=q(e);t=new l(n,i,o),e.conditionalLevel=r}return t}(e);if("="!==e.token)return o;if(a.isSymbolNode(o))return t=o.name,I(e),n=q(e),new f(new b(t),n);if(a.isAccessorNode(o))return I(e),n=q(e),new f(o.object,o.index,n);if(a.isFunctionNode(o)&&a.isSymbolNode(o.fn)&&(i=!0,r=[],t=o.name,o.args.forEach(function(e,t){a.isSymbolNode(e)?r[t]=e.name:i=!1}),i))return I(e),n=q(e),new m(t,r,n);throw re(e,"Invalid left hand side of assignment operator =")}function U(e){for(var t=r(e);"xor"===e.token;)I(e),t=new y("xor","xor",[t,r(e)]);return t}function r(e){for(var t=D(e);"and"===e.token;)I(e),t=new y("and","and",[t,D(e)]);return t}function D(e){for(var t=j(e);"|"===e.token;)I(e),t=new y("|","bitOr",[t,j(e)]);return t}function j(e){for(var t=F(e);"^|"===e.token;)I(e),t=new y("^|","bitXor",[t,F(e)]);return t}function F(e){for(var t=L(e);"&"===e.token;)I(e),t=new y("&","bitAnd",[t,L(e)]);return t}function L(e){for(var t=[H(e)],r=[],n={"==":"equal","!=":"unequal","<":"smaller",">":"larger","<=":"smallerEq",">=":"largerEq"};n.hasOwnProperty(e.token);){var i={name:e.token,fn:n[e.token]};r.push(i),I(e),t.push(H(e))}return 1===t.length?t[0]:2===t.length?new y(r[0].name,r[0].fn,t):new x(r.map(function(e){return e.fn}),t)}function H(e){var t,r,n,i,o;for(t=$(e),r={"<<":"leftShift",">>":"rightArithShift",">>>":"rightLogShift"};r.hasOwnProperty(e.token);)i=r[n=e.token],I(e),o=[t,$(e)],t=new y(n,i,o);return t}function $(e){var t,r,n,i,o;for(t=G(e),r={to:"to",in:"to"};r.hasOwnProperty(e.token);)i=r[n=e.token],I(e),t="in"===n&&""===e.token?new y("*","multiply",[t,new b("in")],!0):(o=[t,G(e)],new y(n,i,o));return t}function G(e){var t,r=[];if(t=":"===e.token?new p(1):V(e),":"===e.token&&e.conditionalLevel!==e.nestingLevel){for(r.push(t);":"===e.token&&r.length<3;)I(e),")"===e.token||"]"===e.token||","===e.token||""===e.token?r.push(new b("end")):r.push(V(e));t=3===r.length?new n(r[0],r[2],r[1]):new n(r[0],r[1])}return t}function V(e){var t,r,n,i,o;for(t=Z(e),r={"+":"add","-":"subtract"};r.hasOwnProperty(e.token);)i=r[n=e.token],I(e),o=[t,Z(e)],t=new y(n,i,o);return t}function Z(e){var t,r,n,i,o;for(r=t=Y(e),n={"*":"multiply",".*":"dotMultiply","/":"divide","./":"dotDivide","%":"mod",mod:"mod"};n.hasOwnProperty(e.token);)o=n[i=e.token],I(e),r=Y(e),t=new y(i,o,[t,r]);return t}function Y(e){var t,r;for(r=t=J(e);e.tokenType===N.SYMBOL||"in"===e.token&&a.isConstantNode(t)||!(e.tokenType!==N.NUMBER||a.isConstantNode(r)||a.isOperatorNode(r)&&"!"!==r.op)||"("===e.token;)r=J(e),t=new y("*","multiply",[t,r],!0);return t}function J(e){for(var t=W(e),r=t,n=[];"/"===e.token&&a.isConstantNode(r);){if(n.push(oe({},e)),I(e),e.tokenType!==N.NUMBER){oe(e,n.pop());break}if(n.push(oe({},e)),I(e),e.tokenType!==N.SYMBOL&&"("!==e.token){n.pop(),oe(e,n.pop());break}oe(e,n.pop()),n.pop(),r=W(e),t=new y("/","divide",[t,r])}return t}function W(e){var t,r,n,i={"-":"unaryMinus","+":"unaryPlus","~":"bitNot",not:"not"};return i.hasOwnProperty(e.token)?(n=i[e.token],t=e.token,I(e),r=[W(e)],new y(t,n,r)):function(e){var t,r,n,i;return t=function(e){var t,r,n,i;for(t=function(e){var t=[];if(e.tokenType===N.SYMBOL&&e.extraNodes.hasOwnProperty(e.token)){var r=e.extraNodes[e.token];if(z(e),"("===e.token){if(t=[],k(e),z(e),")"!==e.token)for(t.push(q(e));","===e.token;)z(e),t.push(q(e));if(")"!==e.token)throw re(e,"Parenthesis ) expected");P(e),z(e)}return new r(t)}return function(e){var t,r;return e.tokenType===N.SYMBOL||e.tokenType===N.DELIMITER&&e.token in E?(r=e.token,z(e),t=A.hasOwnProperty(r)?new p(A[r]):-1!==S.indexOf(r)?new p(u(r,"number")):new b(r),t=X(e,t)):function(e){var t,r;return'"'!==e.token?function(e){var t,r;return"'"!==e.token?function(e){var t,r,n,i;if("["!==e.token)return function(e){if("{"!==e.token)return function(e){var t;return e.tokenType!==N.NUMBER?function(e){var t;if("("!==e.token)return function(e){throw""===e.token?re(e,"Unexpected end of expression"):re(e,"Value expected")}(e);if(k(e),z(e),t=q(e),")"===e.token)return P(e),z(e),t=new g(t),t=X(e,t);throw re(e,"Parenthesis ) expected")}(e):(t=e.token,z(e),new p(u(t,s.number)))}(e);var t;k(e);var r={};do{if(z(e),"}"!==e.token){if('"'===e.token)t=Q(e);else if("'"===e.token)t=K(e);else{if(e.tokenType!==N.SYMBOL)throw re(e,"Symbol or string expected as object key");t=e.token,z(e)}if(":"!==e.token)throw re(e,"Colon : expected after object key");z(e),r[t]=q(e)}}while(","===e.token);if("}"!==e.token)throw re(e,"Comma , or bracket } expected after object value");P(e),z(e);var n=new d(r);return n=X(e,n)}(e);if(k(e),z(e),"]"!==e.token){var o=ee(e);if(";"===e.token){for(n=1,r=[o];";"===e.token;)z(e),r[n]=ee(e),n++;if("]"!==e.token)throw re(e,"End of matrix ] expected");P(e),z(e),i=r[0].items.length;for(var a=1;a<n;a++)if(r[a].items.length!==i)throw ne(e,"Column dimensions mismatch ("+r[a].items.length+" !== "+i+")");t=new c(r)}else{if("]"!==e.token)throw re(e,"End of matrix ] expected");P(e),z(e),t=o}}else P(e),z(e),t=new c([]);return X(e,t)}(e):(r=K(e),t=new p(r),t=X(e,t))}(e):(r=Q(e),t=new p(r),t=X(e,t))}(e)}(e)}(e),r={"!":"factorial","'":"ctranspose"};r.hasOwnProperty(e.token);)n=e.token,i=r[n],z(e),t=new y(n,i,[t]),t=X(e,t);return t}(e),("^"===e.token||".^"===e.token)&&(r=e.token,n="^"===r?"pow":"dotPow",I(e),i=[t,W(e)],t=new y(r,n,i)),t}(e)}function X(e,t,r){for(var n;!("("!==e.token&&"["!==e.token&&"."!==e.token||r&&-1===r.indexOf(e.token));)if(n=[],"("===e.token){if(!a.isSymbolNode(t)&&!a.isAccessorNode(t))return t;if(k(e),z(e),")"!==e.token)for(n.push(q(e));","===e.token;)z(e),n.push(q(e));if(")"!==e.token)throw re(e,"Parenthesis ) expected");P(e),z(e),t=new v(t,n)}else if("["===e.token){if(k(e),z(e),"]"!==e.token)for(n.push(q(e));","===e.token;)z(e),n.push(q(e));if("]"!==e.token)throw re(e,"Parenthesis ] expected");P(e),z(e),t=new i(t,new h(n))}else{if(z(e),e.tokenType!==N.SYMBOL)throw re(e,"Property name expected after dot");n.push(new p(e.token)),z(e),t=new i(t,new h(n,!0))}return t}function Q(e){for(var t="";""!==T(e)&&'"'!==T(e);)"\\"===T(e)&&(t+=T(e),_(e)),t+=T(e),_(e);if(z(e),'"'!==e.token)throw re(e,'End of string " expected');return z(e),JSON.parse('"'+t+'"')}function K(e){for(var t="";""!==T(e)&&"'"!==T(e);)"\\"===T(e)&&(t+=T(e),_(e)),t+=T(e),_(e);if(z(e),"'"!==e.token)throw re(e,"End of string ' expected");return z(e),JSON.parse('"'+t+'"')}function ee(e){for(var t=[q(e)],r=1;","===e.token;)z(e),t[r]=q(e),r++;return new c(t)}function te(e){return e.index-e.token.length+1}function re(e,t){var r=te(e),n=new SyntaxError(t+" (char "+r+")");return n.char=r,n}function ne(e,t){var r=te(e),n=new SyntaxError(t+" (char "+r+")");return n.char=r,n}return w.isAlpha=function(e,t,r){return w.isValidLatinOrGreek(e)||w.isValidMathSymbol(e,r)||w.isValidMathSymbol(t,e)},w.isValidLatinOrGreek=function(e){return/^[a-zA-Z_$\u00C0-\u02AF\u0370-\u03FF\u2100-\u214F]$/.test(e)},w.isValidMathSymbol=function(e,t){return/^[\uD835]$/.test(e)&&/^[\uDC00-\uDFFF]$/.test(t)&&/^[^\uDC55\uDC9D\uDCA0\uDCA1\uDCA3\uDCA4\uDCA7\uDCA8\uDCAD\uDCBA\uDCBC\uDCC4\uDD06\uDD0B\uDD0C\uDD15\uDD1D\uDD3A\uDD3F\uDD45\uDD47-\uDD49\uDD51\uDEA6\uDEA7\uDFCC\uDFCD]$/.test(t)},w.isWhitespace=function(e,t){return" "===e||"\t"===e||"\n"===e&&0<t},w.isDecimalMark=function(e,t){return"."===e&&"/"!==t&&"*"!==t&&"^"!==t},w.isDigitDot=function(e){return"0"<=e&&e<="9"||"."===e},w.isDigit=function(e){return"0"<=e&&e<="9"},w}},function(e,t,l){"use strict";var p=l(5).extend;t.name="divide",t.factory=function(e,t,r,n){var i=r(l(12)),o=r(l(10)),a=r(l(70)),s=r(l(1)),u=r(l(20)),c=r(l(6)),f=n("divide",p({"Array | Matrix, Array | Matrix":function(e,t){return o(e,a(t))},"DenseMatrix, any":function(e,t){return c(e,t,i,!1)},"SparseMatrix, any":function(e,t){return u(e,t,i,!1)},"Array, any":function(e,t){return c(s(e),t,i,!1).valueOf()},"any, Array | Matrix":function(e,t){return o(e,a(t))}},i.signatures));return f.toTex={2:"\\frac{${args[0]}}{${args[1]}}"},f}},function(e,t,r){"use strict";var a=r(0);t.name="sqrt",t.factory=function(t,r,e,n){var i=n("sqrt",{number:o,Complex:function(e){return e.sqrt()},BigNumber:function(e){return!e.isNegative()||r.predictable?e.sqrt():o(e.toNumber())},"Array | Matrix":function(e){return a(e,i,!0)},Unit:function(e){return e.pow(.5)}});function o(e){return isNaN(e)?NaN:0<=e||r.predictable?Math.sqrt(e):new t.Complex(e,0).sqrt()}return i.toTex={1:"\\sqrt{${args[0]}}"},i}},function(e,t,r){"use strict";var a=r(56);e.exports=function e(t,r){a(t)&&(t=t.valueOf());for(var n=0,i=t.length;n<i;n++){var o=t[n];Array.isArray(o)?e(o,r):r(o)}}},function(e,t,r){"use strict";function n(e,t,r){if(!(this instanceof n))throw new SyntaxError("Constructor must be called with the new operator");this.index=e,arguments.length<3?(this.min=0,this.max=t):(this.min=t,this.max=r),void 0!==this.min&&this.index<this.min?this.message="Index out of range ("+this.index+" < "+this.min+")":void 0!==this.max&&this.index>=this.max?this.message="Index out of range ("+this.index+" > "+(this.max-1)+")":this.message="Index out of range ("+this.index+")",this.stack=(new Error).stack}(n.prototype=new RangeError).constructor=RangeError,n.prototype.name="IndexError",n.prototype.isIndexError=!0,e.exports=n},function(e,t,i){"use strict";var o=i(31),p=i(8),a=o.string,g=o.array,m=o.object,r=o.number,v=Array.isArray,x=r.isNumber,b=r.isInteger,w=a.isString,N=g.validateIndex;t.name="DenseMatrix",t.path="type",t.factory=function(h,e,t,d){var r=t(i(63)),n=t(i(83));function y(e,t){if(!(this instanceof y))throw new SyntaxError("Constructor must be called with the new operator");if(t&&!w(t))throw new Error("Invalid datatype: "+t);if(h.isMatrix(e))"DenseMatrix"===e.type?(this._data=m.clone(e._data),this._size=m.clone(e._size)):(this._data=e.toArray(),this._size=e.size()),this._datatype=t||e._datatype;else if(e&&v(e.data)&&v(e.size))this._data=e.data,this._size=e.size,this._datatype=t||e.datatype;else if(v(e))this._data=function e(t){for(var r=0,n=t.length;r<n;r++){var i=t[r];v(i)?t[r]=e(i):i&&!0===i.isMatrix&&(t[r]=e(i.valueOf()))}return t}(e),this._size=g.size(this._data),g.validate(this._data,this._size),this._datatype=t;else{if(e)throw new TypeError("Unsupported type of data ("+o.types.type(e)+")");this._data=[],this._size=[0],this._datatype=t}}function s(e,t,r){if(0!==t.length)return e._size=t.slice(0),e._data=g.resize(e._data,e._size,r),e;for(var n=e._data;v(n);)n=n[0];return n}function l(e,t,r){for(var n=e._size.slice(0),i=!1;n.length<t.length;)n.push(0),i=!0;for(var o=0,a=t.length;o<a;o++)t[o]>n[o]&&(n[o]=t[o],i=!0);i&&s(e,n,r)}return(y.prototype=new n).type="DenseMatrix",y.prototype.isDenseMatrix=!0,y.prototype.getDataType=function(){return r(this._data)},y.prototype.storage=function(){return"dense"},y.prototype.datatype=function(){return this._datatype},y.prototype.create=function(e,t){return new y(e,t)},y.prototype.subset=function(e,t,r){switch(arguments.length){case 1:return function(e,t){if(!h.isIndex(t))throw new TypeError("Invalid index");if(t.isScalar())return e.get(t.min());var r=t.size();if(r.length!==e._size.length)throw new p(r.length,e._size.length);for(var n=t.min(),i=t.max(),o=0,a=e._size.length;o<a;o++)N(n[o],e._size[o]),N(i[o],e._size[o]);return new y(function r(n,i,o,a){var e=a===o-1,t=i.dimension(a);return e?t.map(function(e){return N(e,n.length),n[e]}).valueOf():t.map(function(e){N(e,n.length);var t=n[e];return r(t,i,o,a+1)}).valueOf()}(e._data,t,r.length,0),e._datatype)}(this,e);case 2:case 3:return function(e,t,r,n){if(!t||!0!==t.isIndex)throw new TypeError("Invalid index");var i,o=t.size(),a=t.isScalar();if(h.isMatrix(r)?(i=r.size(),r=r.valueOf()):i=g.size(r),a){if(0!==i.length)throw new TypeError("Scalar expected");e.set(t.min(),r,n)}else{if(o.length<e._size.length)throw new p(o.length,e._size.length,"<");if(i.length<o.length){for(var s=0,u=0;1===o[s]&&1===i[s];)s++;for(;1===o[s];)u++,s++;r=g.unsqueeze(r,o.length,u,i)}if(!m.deepEqual(o,i))throw new p(o,i,">");var c=t.max().map(function(e){return e+1});l(e,c,n);var f=o.length;!function r(n,i,o,a,s){var e=s===a-1,t=i.dimension(s);e?t.forEach(function(e,t){N(e),n[e]=o[t[0]]}):t.forEach(function(e,t){N(e),r(n[e],i,o[t[0]],a,s+1)})}(e._data,t,r,f,0)}return e}(this,e,t,r);default:throw new SyntaxError("Wrong number of arguments")}},y.prototype.get=function(e){if(!v(e))throw new TypeError("Array expected");if(e.length!==this._size.length)throw new p(e.length,this._size.length);for(var t=0;t<e.length;t++)N(e[t],this._size[t]);for(var r=this._data,n=0,i=e.length;n<i;n++){var o=e[n];N(o,r.length),r=r[o]}return r},y.prototype.set=function(e,t,r){if(!v(e))throw new TypeError("Array expected");if(e.length<this._size.length)throw new p(e.length,this._size.length,"<");var n,i,o;l(this,e.map(function(e){return e+1}),r);var a=this._data;for(n=0,i=e.length-1;n<i;n++)o=e[n],N(o,a.length),a=a[o];return o=e[e.length-1],N(o,a.length),a[o]=t,this},y.prototype.resize=function(e,t,r){if(!v(e))throw new TypeError("Array expected");return s(r?this.clone():this,e,t)},y.prototype.reshape=function(e,t){var r=t?this.clone():this;return r._data=g.reshape(r._data,e),r._size=e.slice(0),r},y.prototype.clone=function(){return new y({data:m.clone(this._data),size:m.clone(this._size),datatype:this._datatype})},y.prototype.size=function(){return this._size.slice(0)},y.prototype.map=function(t){var i=this;return new y({data:function r(e,n){return v(e)?e.map(function(e,t){return r(e,n.concat(t))}):t(e,n,i)}(this._data,[]),size:m.clone(this._size),datatype:this._datatype})},y.prototype.forEach=function(t){var i=this;!function r(e,n){v(e)?e.forEach(function(e,t){r(e,n.concat(t))}):t(e,n,i)}(this._data,[])},y.prototype.toArray=function(){return m.clone(this._data)},y.prototype.valueOf=function(){return this._data},y.prototype.format=function(e){return a.format(this._data,e)},y.prototype.toString=function(){return a.format(this._data)},y.prototype.toJSON=function(){return{mathjs:"DenseMatrix",data:this._data,size:this._size,datatype:this._datatype}},y.prototype.diagonal=function(e){if(e){if(h.isBigNumber(e)&&(e=e.toNumber()),!x(e)||!b(e))throw new TypeError("The parameter k must be an integer number")}else e=0;for(var t=0<e?e:0,r=e<0?-e:0,n=this._size[0],i=this._size[1],o=Math.min(n-r,i-t),a=[],s=0;s<o;s++)a[s]=this._data[s+r][s+t];return new y({data:a,size:[o],datatype:this._datatype})},y.diagonal=function(e,t,r,n,i){if(!v(e))throw new TypeError("Array expected, size parameter");if(2!==e.length)throw new Error("Only two dimensions matrix are supported");if(e=e.map(function(e){if(h.isBigNumber(e)&&(e=e.toNumber()),!x(e)||!b(e)||e<1)throw new Error("Size values must be positive integers");return e}),r){if(h.isBigNumber(r)&&(r=r.toNumber()),!x(r)||!b(r))throw new TypeError("The parameter k must be an integer number")}else r=0;n&&w(i)&&(n=d.convert(n,i));var o,a=0<r?r:0,s=r<0?-r:0,u=e[0],c=e[1],f=Math.min(u-s,c-a);if(v(t)){if(t.length!==f)throw new Error("Invalid value array length");o=function(e){return t[e]}}else if(h.isMatrix(t)){var l=t.size();if(1!==l.length||l[0]!==f)throw new Error("Invalid matrix length");o=function(e){return t.get([e])}}else o=function(){return t};n||(n=h.isBigNumber(o(0))?new h.BigNumber(0):0);var p=[];if(0<e.length){p=g.resize(p,e,n);for(var m=0;m<f;m++)p[m+s][m+a]=o(m)}return new y({data:p,size:[u,c]})},y.fromJSON=function(e){return new y(e)},y.prototype.swapRows=function(e,t){if(!(x(e)&&b(e)&&x(t)&&b(t)))throw new Error("Row index must be positive integers");if(2!==this._size.length)throw new Error("Only two dimensional matrix is supported");return N(e,this._size[0]),N(t,this._size[0]),y._swapRows(e,t,this._data),this},y._swapRows=function(e,t,r){var n=r[e];r[e]=r[t],r[t]=n},h.Matrix._storage.dense=y,h.Matrix._storage.default=y},t.lazy=!1},function(e,t,s){"use strict";var l=s(2),p=s(3).isInteger;t.name="identity",t.factory=function(f,r,e,t){var n=e(s(1)),i=t("identity",{"":function(){return"Matrix"===r.matrix?n([]):[]},string:function(e){return n(e)},"number | BigNumber":function(e){return a(e,e,"Matrix"===r.matrix?"default":void 0)},"number | BigNumber, string":function(e,t){return a(e,e,t)},"number | BigNumber, number | BigNumber":function(e,t){return a(e,t,"Matrix"===r.matrix?"default":void 0)},"number | BigNumber, number | BigNumber, string":function(e,t,r){return a(e,t,r)},Array:function(e){return o(e)},"Array, string":function(e,t){return o(e,t)},Matrix:function(e){return o(e.valueOf(),e.storage())},"Matrix, string":function(e,t){return o(e.valueOf(),t)}});return i.toTex=void 0,i;function o(e,t){switch(e.length){case 0:return t?n(t):[];case 1:return a(e[0],e[0],t);case 2:return a(e[0],e[1],t);default:throw new Error("Vector containing two values expected")}}function a(e,t,r){var n=f.isBigNumber(e)||f.isBigNumber(t)?f.BigNumber:null;if(f.isBigNumber(e)&&(e=e.toNumber()),f.isBigNumber(t)&&(t=t.toNumber()),!p(e)||e<1)throw new Error("Parameters in function identity must be positive integers");if(!p(t)||t<1)throw new Error("Parameters in function identity must be positive integers");var i=n?new f.BigNumber(1):1,o=n?new n(0):0,a=[e,t];if(r)return f.Matrix.storage(r).diagonal(a,i,0,o);for(var s=l.resize([],a,o),u=e<t?e:t,c=0;c<u;c++)s[c][c]=i;return s}}},function(e,t,m){"use strict";t.name="equal",t.factory=function(e,t,r,n){var i=r(m(1)),o=r(m(11)),a=r(m(18)),s=r(m(28)),u=r(m(19)),c=r(m(7)),f=r(m(6)),l=m(4),p=n("equal",{"any, any":function(e,t){return null===e?null===t:null===t?null===e:void 0===e?void 0===t:void 0===t?void 0===e:o(e,t)},"SparseMatrix, SparseMatrix":function(e,t){return s(e,t,o)},"SparseMatrix, DenseMatrix":function(e,t){return a(t,e,o,!0)},"DenseMatrix, SparseMatrix":function(e,t){return a(e,t,o,!1)},"DenseMatrix, DenseMatrix":function(e,t){return c(e,t,o)},"Array, Array":function(e,t){return p(i(e),i(t)).valueOf()},"Array, Matrix":function(e,t){return p(i(e),t)},"Matrix, Array":function(e,t){return p(e,i(t))},"SparseMatrix, any":function(e,t){return u(e,t,o,!1)},"DenseMatrix, any":function(e,t){return f(e,t,o,!1)},"any, SparseMatrix":function(e,t){return u(t,e,o,!0)},"any, DenseMatrix":function(e,t){return f(t,e,o,!0)},"Array, any":function(e,t){return f(i(e),t,o,!1).valueOf()},"any, Array":function(e,t){return f(i(t),e,o,!0).valueOf()}});return p.toTex={2:"\\left(${args[0]}".concat(l.operators.equal,"${args[1]}\\right)")},p}},function(e,t,r){"use strict";var o=r(0);t.name="isNumeric",t.factory=function(e,t,r,n){var i=n("isNumeric",{"number | BigNumber | Fraction | boolean":function(){return!0},"Complex | Unit | string | null | undefined | Node":function(){return!1},"Array | Matrix":function(e){return o(e,i)}});return i}},function(e,t,r){"use strict";var f=[{AssignmentNode:{},FunctionAssignmentNode:{}},{ConditionalNode:{latexLeftParens:!1,latexRightParens:!1,latexParens:!1}},{"OperatorNode:or":{associativity:"left",associativeWith:[]}},{"OperatorNode:xor":{associativity:"left",associativeWith:[]}},{"OperatorNode:and":{associativity:"left",associativeWith:[]}},{"OperatorNode:bitOr":{associativity:"left",associativeWith:[]}},{"OperatorNode:bitXor":{associativity:"left",associativeWith:[]}},{"OperatorNode:bitAnd":{associativity:"left",associativeWith:[]}},{"OperatorNode:equal":{associativity:"left",associativeWith:[]},"OperatorNode:unequal":{associativity:"left",associativeWith:[]},"OperatorNode:smaller":{associativity:"left",associativeWith:[]},"OperatorNode:larger":{associativity:"left",associativeWith:[]},"OperatorNode:smallerEq":{associativity:"left",associativeWith:[]},"OperatorNode:largerEq":{associativity:"left",associativeWith:[]},RelationalNode:{associativity:"left",associativeWith:[]}},{"OperatorNode:leftShift":{associativity:"left",associativeWith:[]},"OperatorNode:rightArithShift":{associativity:"left",associativeWith:[]},"OperatorNode:rightLogShift":{associativity:"left",associativeWith:[]}},{"OperatorNode:to":{associativity:"left",associativeWith:[]}},{RangeNode:{}},{"OperatorNode:add":{associativity:"left",associativeWith:["OperatorNode:add","OperatorNode:subtract"]},"OperatorNode:subtract":{associativity:"left",associativeWith:[]}},{"OperatorNode:multiply":{associativity:"left",associativeWith:["OperatorNode:multiply","OperatorNode:divide","Operator:dotMultiply","Operator:dotDivide"]},"OperatorNode:divide":{associativity:"left",associativeWith:[],latexLeftParens:!1,latexRightParens:!1,latexParens:!1},"OperatorNode:dotMultiply":{associativity:"left",associativeWith:["OperatorNode:multiply","OperatorNode:divide","OperatorNode:dotMultiply","OperatorNode:doDivide"]},"OperatorNode:dotDivide":{associativity:"left",associativeWith:[]},"OperatorNode:mod":{associativity:"left",associativeWith:[]}},{"OperatorNode:unaryPlus":{associativity:"right"},"OperatorNode:unaryMinus":{associativity:"right"},"OperatorNode:bitNot":{associativity:"right"},"OperatorNode:not":{associativity:"right"}},{"OperatorNode:pow":{associativity:"right",associativeWith:[],latexRightParens:!1},"OperatorNode:dotPow":{associativity:"right",associativeWith:[]}},{"OperatorNode:factorial":{associativity:"left"}},{"OperatorNode:transpose":{associativity:"left"}}];function l(e,t){var r=e;"keep"!==t&&(r=e.getContent());for(var n=r.getIdentifier(),i=0;i<f.length;i++)if(n in f[i])return i;return null}e.exports.properties=f,e.exports.getPrecedence=l,e.exports.getAssociativity=function(e,t){var r=e;"keep"!==t&&(r=e.getContent());var n=r.getIdentifier(),i=l(r,t);if(null===i)return null;var o=f[i][n];if(o.hasOwnProperty("associativity")){if("left"===o.associativity)return"left";if("right"===o.associativity)return"right";throw Error("'"+n+"' has the invalid associativity '"+o.associativity+"'.")}return null},e.exports.isAssociativeWith=function(e,t,r){var n="keep"!==r?e.getContent():e,i="keep"!==r?e.getContent():t,o=n.getIdentifier(),a=i.getIdentifier(),s=l(n,r);if(null===s)return null;var u=f[s][o];if(u.hasOwnProperty("associativeWith")&&u.associativeWith instanceof Array){for(var c=0;c<u.associativeWith.length;c++)if(u.associativeWith[c]===a)return!0;return!1}return null}},function(e,t,u){"use strict";var c=u(4),f=u(9).escape,l=u(5).hasOwnProperty,p=u(13).getSafeProperty;t.name="SymbolNode",t.path="expression.node",t.math=!0,t.factory=function(a,e,t,r,n){var i=t(u(16));function s(e){return!!a.Unit&&a.Unit.isValuelessUnit(e)}function o(e){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");if("string"!=typeof e)throw new TypeError('String expected for parameter "name"');this.name=e}return(o.prototype=new i).type="SymbolNode",o.prototype.isSymbolNode=!0,o.prototype._compile=function(n,e){var i=this.name;if(l(e,i))return function(e,t,r){return t[i]};if(i in n)return function(e,t,r){return p(i in e?e:n,i)};var o=s(i);return function(e,t,r){return i in e?p(e,i):o?new a.Unit(null,i):function(e){throw new Error("Undefined symbol "+e)}(i)}},o.prototype.forEach=function(e){},o.prototype.map=function(e){return this.clone()},o.prototype.clone=function(){return new o(this.name)},o.prototype._toString=function(e){return this.name},o.prototype.toHTML=function(e){var t=f(this.name);return"true"===t||"false"===t?'<span class="math-symbol math-boolean">'+t+"</span>":"i"===t?'<span class="math-symbol math-imaginary-symbol">'+t+"</span>":"Infinity"===t?'<span class="math-symbol math-infinity-symbol">'+t+"</span>":"NaN"===t?'<span class="math-symbol math-nan-symbol">'+t+"</span>":"null"===t?'<span class="math-symbol math-null-symbol">'+t+"</span>":"undefined"===t?'<span class="math-symbol math-undefined-symbol">'+t+"</span>":'<span class="math-symbol">'+t+"</span>"},o.prototype.toJSON=function(){return{mathjs:"SymbolNode",name:this.name}},o.fromJSON=function(e){return new o(e.name)},o.prototype._toTex=function(e){var t=!1;void 0===n[this.name]&&s(this.name)&&(t=!0);var r=c.toSymbol(this.name,t);return"\\"===r[0]?r:" "+r},o}},function(e,t,l){"use strict";var p=l(3).nearlyEqual,m=l(32);t.name="compare",t.factory=function(r,n,e,t){var i=e(l(1)),o=e(l(18)),a=e(l(66)),s=e(l(19)),u=e(l(7)),c=e(l(6)),f=t("compare",{"boolean, boolean":function(e,t){return e===t?0:t<e?1:-1},"number, number":function(e,t){return e===t||p(e,t,n.epsilon)?0:t<e?1:-1},"BigNumber, BigNumber":function(e,t){return e.eq(t)||m(e,t,n.epsilon)?new r.BigNumber(0):new r.BigNumber(e.cmp(t))},"Fraction, Fraction":function(e,t){return new r.Fraction(e.compare(t))},"Complex, Complex":function(){throw new TypeError("No ordering relation is defined for complex numbers")},"Unit, Unit":function(e,t){if(!e.equalBase(t))throw new Error("Cannot compare units with different base");return f(e.value,t.value)},"SparseMatrix, SparseMatrix":function(e,t){return a(e,t,f)},"SparseMatrix, DenseMatrix":function(e,t){return o(t,e,f,!0)},"DenseMatrix, SparseMatrix":function(e,t){return o(e,t,f,!1)},"DenseMatrix, DenseMatrix":function(e,t){return u(e,t,f)},"Array, Array":function(e,t){return f(i(e),i(t)).valueOf()},"Array, Matrix":function(e,t){return f(i(e),t)},"Matrix, Array":function(e,t){return f(e,i(t))},"SparseMatrix, any":function(e,t){return s(e,t,f,!1)},"DenseMatrix, any":function(e,t){return c(e,t,f,!1)},"any, SparseMatrix":function(e,t){return s(t,e,f,!0)},"any, DenseMatrix":function(e,t){return c(t,e,f,!0)},"Array, any":function(e,t){return c(i(e),t,f,!1).valueOf()},"any, Array":function(e,t){return c(i(t),e,f,!0).valueOf()}});return f.toTex=void 0,f}},function(e,t,r){"use strict";e.exports=function(e){return e&&e.constructor.prototype.isMatrix||!1}},function(e,t,r){"use strict";function i(e,t,r,n){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator");this.fn=e,this.count=t,this.min=r,this.max=n,this.message="Wrong number of arguments in function "+e+" ("+t+" provided, "+r+(null!=n?"-"+n:"")+" expected)",this.stack=(new Error).stack}(i.prototype=new Error).constructor=Error,i.prototype.name="ArgumentsError",i.prototype.isArgumentsError=!0,e.exports=i},function(e,t,s){"use strict";var u=s(9).format,c=s(4).escape;t.name="ConstantNode",t.path="expression.node",t.factory=function(e,t,r,n){var i=r(s(16)),o=r(s(24));function a(e){if(!(this instanceof a))throw new SyntaxError("Constructor must be called with the new operator");if(2===arguments.length)throw new SyntaxError("new ConstantNode(valueStr, valueType) is not supported anymore since math v4.0.0. Use new ConstantNode(value) instead, where value is a non-stringified value.");this.value=e}return(a.prototype=new i).type="ConstantNode",a.prototype.isConstantNode=!0,a.prototype._compile=function(e,t){var r=this.value;return function(){return r}},a.prototype.forEach=function(e){},a.prototype.map=function(e){return this.clone()},a.prototype.clone=function(){return new a(this.value)},a.prototype._toString=function(e){return u(this.value,e)},a.prototype.toHTML=function(e){var t=this._toString(e);switch(o(this.value)){case"number":case"BigNumber":case"Fraction":return'<span class="math-number">'+t+"</span>";case"string":return'<span class="math-string">'+t+"</span>";case"boolean":return'<span class="math-boolean">'+t+"</span>";case"null":return'<span class="math-null-symbol">'+t+"</span>";case"undefined":return'<span class="math-undefined">'+t+"</span>";default:return'<span class="math-symbol">'+t+"</span>"}},a.prototype.toJSON=function(){return{mathjs:"ConstantNode",value:this.value}},a.fromJSON=function(e){return new a(e.value)},a.prototype._toTex=function(e){var t=this._toString(e);switch(o(this.value)){case"string":return"\\mathtt{"+c(t)+"}";case"number":case"BigNumber":var r=t.toLowerCase().indexOf("e");return-1!==r?t.substring(0,r)+"\\cdot10^{"+t.substring(r+1)+"}":t;case"Fraction":return this.value.toLatex();default:return t}},a}},function(e,t,a){"use strict";var h=a(4),s=a(2).map,f=a(9).escape,u=a(13).isSafeMethod,c=a(13).getSafeProperty,b=a(53);t.name="OperatorNode",t.path="expression.node",t.factory=function(i,e,t,r){var n=t(a(16));function o(e,t,r,n){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");if("string"!=typeof e)throw new TypeError('string expected for parameter "op"');if("string"!=typeof t)throw new TypeError('string expected for parameter "fn"');if(!Array.isArray(r)||!r.every(i.isNode))throw new TypeError('Array containing Nodes expected for parameter "args"');this.implicit=!0===n,this.op=e,this.fn=t,this.args=r||[]}function m(i,o,e,t,r){var n,a=b.getPrecedence(i,o),s=b.getAssociativity(i,o);if("all"===o||2<t.length&&"OperatorNode:add"!==i.getIdentifier()&&"OperatorNode:multiply"!==i.getIdentifier())return t.map(function(e){switch(e.getContent().type){case"ArrayNode":case"ConstantNode":case"SymbolNode":case"ParenthesisNode":return!1;default:return!0}});switch(t.length){case 0:n=[];break;case 1:var u=b.getPrecedence(t[0],o);if(r&&null!==u){var c,f;if(f="keep"===o?(c=t[0].getIdentifier(),i.getIdentifier()):(c=t[0].getContent().getIdentifier(),i.getContent().getIdentifier()),!1===b.properties[a][f].latexLeftParens){n=[!1];break}if(!1===b.properties[u][c].latexParens){n=[!1];break}}if(null===u){n=[!1];break}if(u<=a){n=[!0];break}n=[!1];break;case 2:var l,p,m=b.getPrecedence(t[0],o),h=b.isAssociativeWith(i,t[0],o);l=null!==m&&(m===a&&"right"===s&&!h||m<a);var d,y,g,v=b.getPrecedence(t[1],o),x=b.isAssociativeWith(i,t[1],o);p=null!==v&&(v===a&&"left"===s&&!x||v<a),r&&(g="keep"===o?(d=i.getIdentifier(),y=i.args[0].getIdentifier(),i.args[1].getIdentifier()):(d=i.getContent().getIdentifier(),y=i.args[0].getContent().getIdentifier(),i.args[1].getContent().getIdentifier()),null!==m&&(!1===b.properties[a][d].latexLeftParens&&(l=!1),!1===b.properties[m][y].latexParens&&(l=!1)),null!==v&&(!1===b.properties[a][d].latexRightParens&&(p=!1),!1===b.properties[v][g].latexParens&&(p=!1))),n=[l,p];break;default:"OperatorNode:add"!==i.getIdentifier()&&"OperatorNode:multiply"!==i.getIdentifier()||(n=t.map(function(e){var t=b.getPrecedence(e,o),r=b.isAssociativeWith(i,e,o),n=b.getAssociativity(e,o);return null!==t&&(a===t&&s===n&&!r||t<a)}))}return 2<=t.length&&"OperatorNode:multiply"===i.getIdentifier()&&i.implicit&&"auto"===o&&"hide"===e&&(n=t.map(function(e,t){var r="ParenthesisNode"===e.getIdentifier();return!(!n[t]&&!r)})),n}return(o.prototype=new n).type="OperatorNode",o.prototype.isOperatorNode=!0,o.prototype._compile=function(t,r){if("string"!=typeof this.fn||!u(t,this.fn))throw t[this.fn]?new Error('No access to function "'+this.fn+'"'):new Error("Function "+this.fn+' missing in provided namespace "math"');var i=c(t,this.fn),e=s(this.args,function(e){return e._compile(t,r)});if(1===e.length){var n=e[0];return function(e,t,r){return i(n(e,t,r))}}if(2!==e.length)return function(t,r,n){return i.apply(null,s(e,function(e){return e(t,r,n)}))};var o=e[0],a=e[1];return function(e,t,r){return i(o(e,t,r),a(e,t,r))}},o.prototype.forEach=function(e){for(var t=0;t<this.args.length;t++)e(this.args[t],"args["+t+"]",this)},o.prototype.map=function(e){for(var t=[],r=0;r<this.args.length;r++)t[r]=this._ifNode(e(this.args[r],"args["+r+"]",this));return new o(this.op,this.fn,t,this.implicit)},o.prototype.clone=function(){return new o(this.op,this.fn,this.args.slice(0),this.implicit)},o.prototype.isUnary=function(){return 1===this.args.length},o.prototype.isBinary=function(){return 2===this.args.length},o.prototype._toString=function(r){var e=r&&r.parenthesis?r.parenthesis:"keep",t=r&&r.implicit?r.implicit:"hide",n=this.args,i=m(this,e,t,n,!1);if(1===n.length){var o=b.getAssociativity(this,e),a=n[0].toString(r);i[0]&&(a="("+a+")");var s=/[a-zA-Z]+/.test(this.op);return"right"===o?this.op+(s?" ":"")+a:"left"===o?a+(s?" ":"")+this.op:a+this.op}if(2===n.length){var u=n[0].toString(r),c=n[1].toString(r);return i[0]&&(u="("+u+")"),i[1]&&(c="("+c+")"),this.implicit&&"OperatorNode:multiply"===this.getIdentifier()&&"hide"===t?u+" "+c:u+" "+this.op+" "+c}if(2<n.length&&("OperatorNode:add"===this.getIdentifier()||"OperatorNode:multiply"===this.getIdentifier())){var f=n.map(function(e,t){return e=e.toString(r),i[t]&&(e="("+e+")"),e});return this.implicit&&"OperatorNode:multiply"===this.getIdentifier()&&"hide"===t?f.join(" "):f.join(" "+this.op+" ")}return this.fn+"("+this.args.join(", ")+")"},o.prototype.toJSON=function(){return{mathjs:"OperatorNode",op:this.op,fn:this.fn,args:this.args,implicit:this.implicit}},o.fromJSON=function(e){return new o(e.op,e.fn,e.args,e.implicit)},o.prototype.toHTML=function(r){var e=r&&r.parenthesis?r.parenthesis:"keep",t=r&&r.implicit?r.implicit:"hide",n=this.args,i=m(this,e,t,n,!1);if(1===n.length){var o=b.getAssociativity(this,e),a=n[0].toHTML(r);return i[0]&&(a='<span class="math-parenthesis math-round-parenthesis">(</span>'+a+'<span class="math-parenthesis math-round-parenthesis">)</span>'),"right"===o?'<span class="math-operator math-unary-operator math-lefthand-unary-operator">'+f(this.op)+"</span>"+a:'<span class="math-operator math-unary-operator math-righthand-unary-operator">'+f(this.op)+"</span>"+a}if(2===n.length){var s=n[0].toHTML(r),u=n[1].toHTML(r);return i[0]&&(s='<span class="math-parenthesis math-round-parenthesis">(</span>'+s+'<span class="math-parenthesis math-round-parenthesis">)</span>'),i[1]&&(u='<span class="math-parenthesis math-round-parenthesis">(</span>'+u+'<span class="math-parenthesis math-round-parenthesis">)</span>'),this.implicit&&"OperatorNode:multiply"===this.getIdentifier()&&"hide"===t?s+'<span class="math-operator math-binary-operator math-implicit-binary-operator"></span>'+u:s+'<span class="math-operator math-binary-operator math-explicit-binary-operator">'+f(this.op)+"</span>"+u}var c=n.map(function(e,t){return e=e.toHTML(r),i[t]&&(e='<span class="math-parenthesis math-round-parenthesis">(</span>'+e+'<span class="math-parenthesis math-round-parenthesis">)</span>'),e});return 2<n.length&&("OperatorNode:add"===this.getIdentifier()||"OperatorNode:multiply"===this.getIdentifier())?this.implicit&&"OperatorNode:multiply"===this.getIdentifier()&&"hide"===t?c.join('<span class="math-operator math-binary-operator math-implicit-binary-operator"></span>'):c.join('<span class="math-operator math-binary-operator math-explicit-binary-operator">'+f(this.op)+"</span>"):'<span class="math-function">'+f(this.fn)+'</span><span class="math-paranthesis math-round-parenthesis">(</span>'+c.join('<span class="math-separator">,</span>')+'<span class="math-paranthesis math-round-parenthesis">)</span>'},o.prototype._toTex=function(r){var e=r&&r.parenthesis?r.parenthesis:"keep",t=r&&r.implicit?r.implicit:"hide",n=this.args,i=m(this,e,t,n,!0),o=h.operators[this.fn];if(o=void 0===o?this.op:o,1===n.length){var a=b.getAssociativity(this,e),s=n[0].toTex(r);return i[0]&&(s="\\left(".concat(s,"\\right)")),"right"===a?o+s:s+o}if(2===n.length){var u=n[0],c=u.toTex(r);i[0]&&(c="\\left(".concat(c,"\\right)"));var f,l=n[1].toTex(r);switch(i[1]&&(l="\\left(".concat(l,"\\right)")),f="keep"===e?u.getIdentifier():u.getContent().getIdentifier(),this.getIdentifier()){case"OperatorNode:divide":return o+"{"+c+"}{"+l+"}";case"OperatorNode:pow":switch(c="{"+c+"}",l="{"+l+"}",f){case"ConditionalNode":case"OperatorNode:divide":c="\\left(".concat(c,"\\right)")}break;case"OperatorNode:multiply":if(this.implicit&&"hide"===t)return c+"~"+l}return c+o+l}if(2<n.length&&("OperatorNode:add"===this.getIdentifier()||"OperatorNode:multiply"===this.getIdentifier())){var p=n.map(function(e,t){return e=e.toTex(r),i[t]&&(e="\\left(".concat(e,"\\right)")),e});return"OperatorNode:multiply"===this.getIdentifier()&&this.implicit?p.join("~"):p.join(o)}return"\\mathrm{"+this.fn+"}\\left("+n.map(function(e){return e.toTex(r)}).join(",")+"\\right)"},o.prototype.getIdentifier=function(){return this.type+":"+this.fn},o}},function(e,t,r){"use strict";var o=r(0);t.name="isZero",t.factory=function(e,t,r,n){var i=n("isZero",{number:function(e){return 0===e},BigNumber:function(e){return e.isZero()},Complex:function(e){return 0===e.re&&0===e.im},Fraction:function(e){return 1===e.d&&0===e.n},Unit:function(e){return i(e.value)},"Array | Matrix":function(e){return o(e,i)}});return i}},function(e,t,r){"use strict";var o=r(0);t.name="isNegative",t.factory=function(e,t,r,n){var i=n("isNegative",{number:function(e){return e<0},BigNumber:function(e){return e.isNeg()&&!e.isZero()&&!e.isNaN()},Fraction:function(e){return e.s<0},Unit:function(e){return i(e.value)},"Array | Matrix":function(e){return o(e,i)}});return i}},function(e,t,r){"use strict";var n=r(35);e.exports=function(e){for(var t=0;t<e.length;t++)if(n(e[t]))return!0;return!1}},function(e,t,i){"use strict";t.factory=function(e,t,r,n){var u=r(i(24));return function e(t){for(var r,n=0,i=0;i<t.length;i++){var o=t[i],a=Array.isArray(o);if(0===i&&a&&(n=o.length),a&&o.length!==n)return;var s=a?e(o):u(o);if(void 0===r)r=s;else if(r!==s)return"mixed"}return r}}},function(e,t,r){"use strict";var o=r(0);t.name="number",t.factory=function(e,t,r,n){var i=n("number",{"":function(){return 0},number:function(e){return e},string:function(e){if("NaN"===e)return NaN;var t=Number(e);if(isNaN(t))throw new SyntaxError('String "'+e+'" is no valid number');return t},BigNumber:function(e){return e.toNumber()},Fraction:function(e){return e.valueOf()},Unit:function(e){throw new Error("Second argument with valueless unit expected")},null:function(e){return 0},"Unit, string | Unit":function(e,t){return e.toNumber(t)},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={0:"0",1:"\\left(${args[0]}\\right)",2:"\\left(\\left(${args[0]}\\right)${args[1]}\\right)"},i}},function(e,t,u){"use strict";t.path="type",t.name="_numeric",t.factory=function(e,t,r,n){var i=r(u(24)),o={string:!0,number:!0,BigNumber:!0,Fraction:!0},a={number:r(u(64)),BigNumber:r(u(104)),Fraction:r(u(82))},s=function(e,t){var r=i(e);if(!(r in o))throw new TypeError("Cannot convert "+e+' of type "'+r+'"; valid input types are '+Object.keys(o).join(", "));if(!(t in a))throw new TypeError("Cannot convert "+e+' to type "'+t+'"; valid output types are '+Object.keys(a).join(", "));return t===r?e:a[t](e)};return s.toTex=function(e,t){return e.args[0].toTex()},s}},function(e,t,n){"use strict";var U=n(8);t.name="algorithm05",t.factory=function(e,t,r,P){var R=r(n(11)),q=e.SparseMatrix;return function(e,t,r){var n=e._values,i=e._index,o=e._ptr,a=e._size,s=e._datatype,u=t._values,c=t._index,f=t._ptr,l=t._size,p=t._datatype;if(a.length!==l.length)throw new U(a.length,l.length);if(a[0]!==l[0]||a[1]!==l[1])throw new RangeError("Dimension mismatch. Matrix A ("+a+") must match Matrix B ("+l+")");var m,h=a[0],d=a[1],y=R,g=0,v=r;"string"==typeof s&&s===p&&(m=s,y=P.find(R,[m,m]),g=P.convert(0,m),v=P.find(r,[m,m]));var x,b,w,N,M=n&&u?[]:void 0,E=[],A=[],S=new q({values:M,index:E,ptr:A,size:[h,d],datatype:m}),O=M?[]:void 0,T=M?[]:void 0,_=[],C=[];for(b=0;b<d;b++){A[b]=E.length;var B=b+1;for(w=o[b],N=o[b+1];w<N;w++)x=i[w],E.push(x),_[x]=B,O&&(O[x]=n[w]);for(w=f[b],N=f[b+1];w<N;w++)_[x=c[w]]!==B&&E.push(x),C[x]=B,T&&(T[x]=u[w]);if(M)for(w=A[b];w<E.length;){var z=_[x=E[w]],I=C[x];if(z===B||I===B){var k=v(z===B?O[x]:g,I===B?T[x]:g);y(k,g)?E.splice(w,1):(M.push(k),w++)}}}return A[d]=E.length,S}}},function(e,t,l){"use strict";var p=l(3).isInteger,r=l(3).toFixed,m=l(0),h="Number of decimals in function round must be an integer";function d(e,t){return parseFloat(r(e,t))}t.name="round",t.factory=function(r,e,t,n){var i=t(l(1)),o=t(l(11)),a=t(l(43)),s=t(l(20)),u=t(l(19)),c=t(l(6)),f=n("round",{number:function(e){return d(e,0)},"number, number":function(e,t){if(!p(t))throw new TypeError(h);if(t<0||15<t)throw new Error("Number of decimals in function round must be in te range of 0-15");return d(e,t)},Complex:function(e){return e.round()},"Complex, number":function(e,t){if(t%1)throw new TypeError(h);return e.round(t)},"Complex, BigNumber":function(e,t){if(!t.isInteger())throw new TypeError(h);var r=t.toNumber();return e.round(r)},"number, BigNumber":function(e,t){if(!t.isInteger())throw new TypeError(h);return new r.BigNumber(e).toDecimalPlaces(t.toNumber())},BigNumber:function(e){return e.toDecimalPlaces(0)},"BigNumber, BigNumber":function(e,t){if(!t.isInteger())throw new TypeError(h);return e.toDecimalPlaces(t.toNumber())},Fraction:function(e){return e.round()},"Fraction, number":function(e,t){if(t%1)throw new TypeError(h);return e.round(t)},"Array | Matrix":function(e){return m(e,f,!0)},"SparseMatrix, number | BigNumber":function(e,t){return s(e,t,f,!1)},"DenseMatrix, number | BigNumber":function(e,t){return c(e,t,f,!1)},"number | Complex | BigNumber, SparseMatrix":function(e,t){return o(e,0)?a(t.size(),t.storage()):u(t,e,f,!0)},"number | Complex | BigNumber, DenseMatrix":function(e,t){return o(e,0)?a(t.size(),t.storage()):c(t,e,f,!0)},"Array, number | BigNumber":function(e,t){return c(i(e),t,f,!1).valueOf()},"number | Complex | BigNumber, Array":function(e,t){return c(i(t),e,f,!0).valueOf()}});return f.toTex={1:"\\left\\lfloor${args[0]}\\right\\rceil",2:void 0},f}},function(e,t,a){"use strict";t.name="ParenthesisNode",t.path="expression.node",t.factory=function(t,e,r,n){var i=r(a(16));function o(e){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");if(!t.isNode(e))throw new TypeError('Node expected for parameter "content"');this.content=e}return(o.prototype=new i).type="ParenthesisNode",o.prototype.isParenthesisNode=!0,o.prototype._compile=function(e,t){return this.content._compile(e,t)},o.prototype.getContent=function(){return this.content.getContent()},o.prototype.forEach=function(e){e(this.content,"content",this)},o.prototype.map=function(e){return new o(e(this.content,"content",this))},o.prototype.clone=function(){return new o(this.content)},o.prototype._toString=function(e){return!e||e&&!e.parenthesis||e&&"keep"===e.parenthesis?"("+this.content.toString(e)+")":this.content.toString(e)},o.prototype.toJSON=function(){return{mathjs:"ParenthesisNode",content:this.content}},o.fromJSON=function(e){return new o(e.content)},o.prototype.toHTML=function(e){return!e||e&&!e.parenthesis||e&&"keep"===e.parenthesis?'<span class="math-parenthesis math-round-parenthesis">(</span>'+this.content.toHTML(e)+'<span class="math-parenthesis math-round-parenthesis">)</span>':this.content.toHTML(e)},o.prototype._toTex=function(e){return!e||e&&!e.parenthesis||e&&"keep"===e.parenthesis?"\\left(".concat(this.content.toTex(e),"\\right)"):this.content.toTex(e)},o}},function(e,t,c){"use strict";function f(e){return(f="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}function v(){return(v=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var r=arguments[t];for(var n in r)Object.prototype.hasOwnProperty.call(r,n)&&(e[n]=r[n])}return e}).apply(this,arguments)}var l=c(4),p=c(9).escape,m=c(5).hasOwnProperty,x=c(2).map,b=c(13).validateSafeMethod,w=c(13).getSafeProperty;t.name="FunctionNode",t.path="expression.node",t.math=!0,t.factory=function(y,e,t,r,i){var n=t(c(16)),o=t(c(54));function g(e,t){if(!(this instanceof g))throw new SyntaxError("Constructor must be called with the new operator");if("string"==typeof e&&(e=new o(e)),!y.isNode(e))throw new TypeError('Node expected as parameter "fn"');if(!Array.isArray(t)||!t.every(y.isNode))throw new TypeError('Array containing Nodes expected for parameter "args"');this.fn=e,this.args=t||[],Object.defineProperty(this,"name",{get:function(){return this.fn.name||""}.bind(this),set:function(){throw new Error("Cannot assign a new name, name is read-only")}});var r=function(){throw new Error("Property `FunctionNode.object` is deprecated, use `FunctionNode.fn` instead")};Object.defineProperty(this,"object",{get:r,set:r})}(g.prototype=new n).type="FunctionNode",g.prototype.isFunctionNode=!0,g.prototype._compile=function(i,t){if(!(this instanceof g))throw new TypeError("No valid FunctionNode");var o=x(this.args,function(e){return e._compile(i,t)});if(y.isSymbolNode(this.fn)){var a=this.fn.name,s=a in i?w(i,a):void 0;if("function"==typeof s&&!0===s.rawArgs){var n=this.args;return function(e,t,r){return(a in e?w(e,a):s)(n,i,v({},e,t))}}if(1===o.length){var u=o[0];return function(e,t,r){return(a in e?w(e,a):s)(u(e,t,r))}}if(2!==o.length)return function(t,r,n){return(a in t?w(t,a):s).apply(null,x(o,function(e){return e(t,r,n)}))};var c=o[0],f=o[1];return function(e,t,r){return(a in e?w(e,a):s)(c(e,t,r),f(e,t,r))}}if(y.isAccessorNode(this.fn)&&y.isIndexNode(this.fn.index)&&this.fn.index.isObjectProperty()){var l=this.fn.object._compile(i,t),p=this.fn.index.getObjectProperty(),m=this.args;return function(t,r,n){var e=l(t,r,n);return b(e,p),e[p]&&e[p].rawArgs?e[p](m,i,v({},t,r)):e[p].apply(e,x(o,function(e){return e(t,r,n)}))}}var h=this.fn._compile(i,t),d=this.args;return function(t,r,n){var e=h(t,r,n);return e&&e.rawArgs?e(d,i,v({},t,r)):e.apply(e,x(o,function(e){return e(t,r,n)}))}},g.prototype.forEach=function(e){e(this.fn,"fn",this);for(var t=0;t<this.args.length;t++)e(this.args[t],"args["+t+"]",this)},g.prototype.map=function(e){for(var t=this._ifNode(e(this.fn,"fn",this)),r=[],n=0;n<this.args.length;n++)r[n]=this._ifNode(e(this.args[n],"args["+n+"]",this));return new g(t,r)},g.prototype.clone=function(){return new g(this.fn,this.args.slice(0))};var a=g.prototype.toString;function s(e,t,r){for(var n,i="",o=new RegExp("\\$(?:\\{([a-z_][a-z_0-9]*)(?:\\[([0-9]+)\\])?\\}|\\$)","ig"),a=0;null!==(n=o.exec(e));)if(i+=e.substring(a,n.index),a=n.index,"$$"===n[0])i+="$",a++;else{a+=n[0].length;var s=t[n[1]];if(!s)throw new ReferenceError("Template: Property "+n[1]+" does not exist.");if(void 0===n[2])switch(f(s)){case"string":i+=s;break;case"object":if(y.isNode(s))i+=s.toTex(r);else{if(!Array.isArray(s))throw new TypeError("Template: "+n[1]+" has to be a Node, String or array of Nodes");i+=s.map(function(e,t){if(y.isNode(e))return e.toTex(r);throw new TypeError("Template: "+n[1]+"["+t+"] is not a Node.")}).join(",")}break;default:throw new TypeError("Template: "+n[1]+" has to be a Node, String or array of Nodes")}else{if(!y.isNode(s[n[2]]&&s[n[2]]))throw new TypeError("Template: "+n[1]+"["+n[2]+"] is not a Node.");i+=s[n[2]].toTex(r)}}return i+=e.slice(a)}g.prototype.toString=function(e){var t,r=this.fn.toString(e);return e&&"object"===f(e.handler)&&m(e.handler,r)&&(t=e.handler[r](this,e)),void 0!==t?t:a.call(this,e)},g.prototype._toString=function(t){var e=this.args.map(function(e){return e.toString(t)});return(y.isFunctionAssignmentNode(this.fn)?"("+this.fn.toString(t)+")":this.fn.toString(t))+"("+e.join(", ")+")"},g.prototype.toJSON=function(){return{mathjs:"FunctionNode",fn:this.fn,args:this.args}},g.fromJSON=function(e){return new g(e.fn,e.args)},g.prototype.toHTML=function(t){var e=this.args.map(function(e){return e.toHTML(t)});return'<span class="math-function">'+p(this.fn)+'</span><span class="math-paranthesis math-round-parenthesis">(</span>'+e.join('<span class="math-separator">,</span>')+'<span class="math-paranthesis math-round-parenthesis">)</span>'};var u=g.prototype.toTex;return g.prototype.toTex=function(e){var t;return e&&"object"===f(e.handler)&&m(e.handler,this.name)&&(t=e.handler[this.name](this,e)),void 0!==t?t:u.call(this,e)},g.prototype._toTex=function(t){var e,r,n=this.args.map(function(e){return e.toTex(t)});switch(!i[this.name]||"function"!=typeof i[this.name].toTex&&"object"!==f(i[this.name].toTex)&&"string"!=typeof i[this.name].toTex||(e=i[this.name].toTex),f(e)){case"function":r=e(this,t);break;case"string":r=s(e,this,t);break;case"object":switch(f(e[n.length])){case"function":r=e[n.length](this,t);break;case"string":r=s(e[n.length],this,t)}}return void 0!==r?r:s(l.defaultTemplate,this,t)},g.prototype.getIdentifier=function(){return this.type+":"+this.name},g}},function(e,t,s){"use strict";var u=s(31);t.name="inv",t.factory=function(i,e,t,r){var o=t(s(1)),v=t(s(12)),x=t(s(17)),b=t(s(10)),w=t(s(39)),N=t(s(127)),M=t(s(50)),E=t(s(23)),n=r("inv",{"Array | Matrix":function(e){var t=i.isMatrix(e)?e.size():u.array.size(e);switch(t.length){case 1:if(1===t[0])return i.isMatrix(e)?o([v(1,e.valueOf()[0])]):[v(1,e[0])];throw new RangeError("Matrix must be square (size: "+u.string.format(t)+")");case 2:var r=t[0],n=t[1];if(r===n)return i.isMatrix(e)?o(a(e.valueOf(),r,n),e.storage()):a(e,r,n);throw new RangeError("Matrix must be square (size: "+u.string.format(t)+")");default:throw new RangeError("Matrix must be two dimensional (size: "+u.string.format(t)+")")}},any:function(e){return v(1,e)}});function a(e,t,r){var n,i,o,a,s;if(1===t){if(0===(a=e[0][0]))throw Error("Cannot calculate inverse, determinant is zero");return[[v(1,a)]]}if(2===t){var u=N(e);if(0===u)throw Error("Cannot calculate inverse, determinant is zero");return[[v(e[1][1],u),v(w(e[0][1]),u)],[v(w(e[1][0]),u),v(e[0][0],u)]]}var c=e.concat();for(n=0;n<t;n++)c[n]=c[n].concat();for(var f=M(t).valueOf(),l=0;l<r;l++){var p=E(c[l][l]),m=l;for(n=l+1;n<t;)E(c[n][l])>p&&(p=E(c[n][l]),m=n),n++;if(0===p)throw Error("Cannot calculate inverse, determinant is zero");(n=m)!==l&&(s=c[l],c[l]=c[n],c[n]=s,s=f[l],f[l]=f[n],f[n]=s);var h=c[l],d=f[l];for(n=0;n<t;n++){var y=c[n],g=f[n];if(n!==l){if(0!==y[l]){for(o=v(w(y[l]),h[l]),i=l;i<r;i++)y[i]=x(y[i],b(o,h[i]));for(i=0;i<r;i++)g[i]=x(g[i],b(o,d[i]))}}else{for(o=h[l],i=l;i<r;i++)y[i]=v(y[i],o);for(i=0;i<r;i++)g[i]=v(g[i],o)}}}return f}return n.toTex={1:"\\left(${args[0]}\\right)^{-1}"},n}},function(e,t,r){"use strict";var o=r(0);t.name="conj",t.factory=function(e,t,r,n){var i=n("conj",{number:function(e){return e},BigNumber:function(e){return e},Complex:function(e){return e.conjugate()},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\left(${args[0]}\\right)^*"},i}},function(e,t,s){"use strict";var w=s(5).clone,c=s(9).format;t.name="transpose",t.factory=function(e,t,r,n){var i=s(4),o=r(s(1)),u=e.DenseMatrix,b=e.SparseMatrix,a=n("transpose",{Array:function(e){return a(o(e)).valueOf()},Matrix:function(e){var t,r=e.size();switch(r.length){case 1:t=e.clone();break;case 2:var n=r[0],i=r[1];if(0===i)throw new RangeError("Cannot transpose a 2D matrix with no columns (size: "+c(r)+")");switch(e.storage()){case"dense":t=function(e,t,r){for(var n,i=e._data,o=[],a=0;a<r;a++){n=o[a]=[];for(var s=0;s<t;s++)n[s]=w(i[s][a])}return new u({data:o,size:[r,t],datatype:e._datatype})}(e,n,i);break;case"sparse":t=function(e,t,r){for(var n,i,o,a=e._values,s=e._index,u=e._ptr,c=a?[]:void 0,f=[],l=[],p=[],m=0;m<t;m++)p[m]=0;for(n=0,i=s.length;n<i;n++)p[s[n]]++;for(var h=0,d=0;d<t;d++)l.push(h),h+=p[d],p[d]=l[d];for(l.push(h),o=0;o<r;o++)for(var y=u[o],g=u[o+1],v=y;v<g;v++){var x=p[s[v]]++;f[x]=o,a&&(c[x]=w(a[v]))}return new b({values:c,index:f,ptr:l,size:[r,t],datatype:e._datatype})}(e,n,i)}break;default:throw new RangeError("Matrix must be a vector or two dimensional (size: "+c(this._size)+")")}return t},any:function(e){return w(e)}});return a.toTex={1:"\\left(${args[0]}\\right)".concat(i.operators.transpose)},a}},function(e,t,r){"use strict";var o=r(0);t.name="isPositive",t.factory=function(e,t,r,n){var i=n("isPositive",{number:function(e){return 0<e},BigNumber:function(e){return!e.isNeg()&&!e.isZero()&&!e.isNaN()},Fraction:function(e){return 0<e.s&&0<e.n},Unit:function(e){return i(e.value)},"Array | Matrix":function(e){return o(e,i)}});return i}},function(e,t,n){"use strict";var B=n(232),z=n(8);t.name="algorithm06",t.factory=function(e,t,r,T){var _=r(n(11)),C=e.SparseMatrix;return function(e,t,r){var n=e._values,i=e._size,o=e._datatype,a=t._values,s=t._size,u=t._datatype;if(i.length!==s.length)throw new z(i.length,s.length);if(i[0]!==s[0]||i[1]!==s[1])throw new RangeError("Dimension mismatch. Matrix A ("+i+") must match Matrix B ("+s+")");var c,f=i[0],l=i[1],p=_,m=0,h=r;"string"==typeof o&&o===u&&(c=o,p=T.find(_,[c,c]),m=T.convert(0,c),h=T.find(r,[c,c]));for(var d=n&&a?[]:void 0,y=[],g=[],v=new C({values:d,index:y,ptr:g,size:[f,l],datatype:c}),x=d?[]:void 0,b=[],w=[],N=0;N<l;N++){g[N]=y.length;var M=N+1;if(B(e,N,b,x,w,M,v,h),B(t,N,b,x,w,M,v,h),x)for(var E=g[N];E<y.length;){var A=y[E];if(w[A]===M){var S=x[A];p(S,m)?y.splice(E,1):(d.push(S),E++)}else y.splice(E,1)}else for(var O=g[N];O<y.length;)w[y[O]]!==M?y.splice(O,1):O++}return g[l]=y.length,v}}},function(e,t,s){"use strict";var u=s(0);t.name="factorial",t.factory=function(e,t,r,n){var i=r(s(140)),o=s(4),a=n("factorial",{number:function(e){if(e<0)throw new Error("Value must be non-negative");return i(e+1)},BigNumber:function(e){if(e.isNegative())throw new Error("Value must be non-negative");return i(e.plus(1))},"Array | Matrix":function(e){return u(e,a)}});return a.toTex={1:"\\left(${args[0]}\\right)".concat(o.operators.factorial)},a}},function(e,t,r){"use strict";var i=r(3).isInteger,o=r(94);function u(e){return e.isInteger()&&e.gte(0)}t.name="combinations",t.factory=function(s,e,t,r){var n=r("combinations",{"number, number":function(e,t){var r;if(!i(e)||e<0)throw new TypeError("Positive integer value expected in function combinations");if(!i(t)||t<0)throw new TypeError("Positive integer value expected in function combinations");if(e<t)throw new TypeError("k must be less than or equal to n");return t<(r=e-t)?o(1+r,e)/o(1,t):o(t+1,e)/o(1,r)},"BigNumber, BigNumber":function(e,t){var r,n,i,o,a=new s.BigNumber(1);if(!u(e)||!u(t))throw new TypeError("Positive integer value expected in function combinations");if(t.gt(e))throw new TypeError("k must be less than n in function combinations");for(r=e.minus(t),t.lt(r)&&(r=t),i=n=a,o=e.minus(r);i.lte(o);i=i.plus(1))n=n.times(r.plus(i)).dividedBy(i);return n}});return n.toTex={2:"\\binom{${args[0]}}{${args[1]}}"},n}},function(e,t,i){"use strict";var h=i(5).clone,d=i(2),y=i(48),g=i(8);function v(e,t,r,n){if(n<r){if(e.length!==t.length)throw new g(e.length,t.length);for(var i=[],o=0;o<e.length;o++)i[o]=v(e[o],t[o],r,n+1);return i}return e.concat(t)}t.name="concat",t.factory=function(l,e,t,r){var p=t(i(1)),m=t(i(34)),n=r("concat",{"...Array | Matrix | number | BigNumber":function(e){var t,r,n=e.length,i=-1,o=!1,a=[];for(t=0;t<n;t++){var s=e[t];if(l.isMatrix(s)&&(o=!0),l.isNumber(s)||l.isBigNumber(s)){if(t!==n-1)throw new Error("Dimension must be specified as last argument");if(r=i,i=s.valueOf(),!m(i))throw new TypeError("Integer number expected for dimension");if(i<0||0<t&&r<i)throw new y(i,r+1)}else{var u=h(s).valueOf(),c=d.size(u);if(a[t]=u,r=i,i=c.length-1,0<t&&i!==r)throw new g(r+1,i+1)}}if(0===a.length)throw new SyntaxError("At least one matrix expected");for(var f=a.shift();a.length;)f=v(f,a.shift(),i,0);return o?p(f):f},"...string":function(e){return e.join("")}});return n.toTex=void 0,n}},function(e,t,r){"use strict";var i=r(0);t.name="isNaN",t.factory=function(e,t,r,n){return n("isNaN",{number:function(e){return Number.isNaN(e)},BigNumber:function(e){return e.isNaN()},Fraction:function(e){return!1},Complex:function(e){return e.isNaN()},Unit:function(e){return Number.isNaN(e.value)},"Array | Matrix":function(e){return i(e,Number.isNaN)}})}},function(e,t,r){"use strict";var i=r(2).size,o=r(56),a=r(48);function s(e,t,r){var n,i,o,a;if(t<=0){if(Array.isArray(e[0])){for(a=function(e){var t,r,n=e.length,i=e[0].length,o=[];for(r=0;r<i;r++){var a=[];for(t=0;t<n;t++)a.push(e[t][r]);o.push(a)}return o}(e),i=[],n=0;n<a.length;n++)i[n]=s(a[n],t-1,r);return i}for(o=e[0],n=1;n<e.length;n++)o=r(o,e[n]);return o}for(i=[],n=0;n<e.length;n++)i[n]=s(e[n],t-1,r);return i}e.exports=function(e,t,r){var n=Array.isArray(e)?i(e):e.size();if(t<0||t>=n.length)throw new a(t,n.length);return o(e)?e.create(s(e.valueOf(),t,r)):s(e,t,r)}},function(e,t,r){"use strict";e.exports=function(e){return e&&e.constructor.prototype.isBigNumber||!1}},function(e,t,r){"use strict";function o(e){return(o="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}var a=r(176),s=r(3).format,u=r(3).isNumber;t.name="Complex",t.path="type",t.factory=function(i,e,t,r,n){return a.prototype.type="Complex",a.prototype.isComplex=!0,a.prototype.toJSON=function(){return{mathjs:"Complex",re:this.re,im:this.im}},a.prototype.toPolar=function(){return{r:this.abs(),phi:this.arg()}},a.prototype.format=function(e){var t=this.im,r=this.re,n=s(this.re,e),i=s(this.im,e),o=u(e)?e:e?e.precision:null;if(null!==o){var a=Math.pow(10,-o);Math.abs(r/t)<a&&(r=0),Math.abs(t/r)<a&&(t=0)}return 0===t?n:0===r?1===t?"i":-1===t?"-i":i+"i":t<0?-1===t?n+" - i":n+" - "+i.substring(1)+"i":1===t?n+" + i":n+" + "+i+"i"},a.fromPolar=function(e){switch(arguments.length){case 1:var t=e;if("object"===o(t))return a(t);throw new TypeError("Input has to be an object with r and phi keys.");case 2:var r=e,n=arguments[1];if(u(r)){if(i.isUnit(n)&&n.hasBase("ANGLE")&&(n=n.toNumber("rad")),u(n))return new a({r:r,phi:n});throw new TypeError("Phi is not a number nor an angle unit.")}throw new TypeError("Radius r is not a number.");default:throw new SyntaxError("Wrong number of arguments in function fromPolar")}},a.prototype.valueOf=a.prototype.toString,a.fromJSON=function(e){return new a(e)},a.EPSILON=e.epsilon,n.on("config",function(e,t){e.epsilon!==t.epsilon&&(a.EPSILON=e.epsilon)}),a.compare=function(e,t){return e.re>t.re?1:e.re<t.re?-1:e.im>t.im?1:e.im<t.im?-1:0},a},t.math=!0},function(e,t,r){"use strict";var o=r(0);t.name="fraction",t.factory=function(r,e,t,n){var i=n("fraction",{number:function(e){if(!isFinite(e)||isNaN(e))throw new Error(e+" cannot be represented as a fraction");return new r.Fraction(e)},string:function(e){return new r.Fraction(e)},"number, number":function(e,t){return new r.Fraction(e,t)},null:function(e){return new r.Fraction(0)},BigNumber:function(e){return new r.Fraction(e.toString())},Fraction:function(e){return e},Object:function(e){return new r.Fraction(e)},"Array | Matrix":function(e){return o(e,i)}});return i}},function(e,t,r){"use strict";var o=r(31).string.isString;t.name="Matrix",t.path="type",t.factory=function(e,t,r,n){function i(){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator")}return i.prototype.type="Matrix",i.prototype.isMatrix=!0,i.storage=function(e){if(!o(e))throw new TypeError("format must be a string value");var t=i._storage[e];if(!t)throw new SyntaxError("Unsupported matrix storage format: "+e);return t},i._storage={},i.prototype.storage=function(){throw new Error("Cannot invoke storage on a Matrix interface")},i.prototype.datatype=function(){throw new Error("Cannot invoke datatype on a Matrix interface")},i.prototype.create=function(e,t){throw new Error("Cannot invoke create on a Matrix interface")},i.prototype.subset=function(e,t,r){throw new Error("Cannot invoke subset on a Matrix interface")},i.prototype.get=function(e){throw new Error("Cannot invoke get on a Matrix interface")},i.prototype.set=function(e,t,r){throw new Error("Cannot invoke set on a Matrix interface")},i.prototype.resize=function(e,t){throw new Error("Cannot invoke resize on a Matrix interface")},i.prototype.reshape=function(e,t){throw new Error("Cannot invoke reshape on a Matrix interface")},i.prototype.clone=function(){throw new Error("Cannot invoke clone on a Matrix interface")},i.prototype.size=function(){throw new Error("Cannot invoke size on a Matrix interface")},i.prototype.map=function(e,t){throw new Error("Cannot invoke map on a Matrix interface")},i.prototype.forEach=function(e){throw new Error("Cannot invoke forEach on a Matrix interface")},i.prototype.toArray=function(){throw new Error("Cannot invoke toArray on a Matrix interface")},i.prototype.valueOf=function(){throw new Error("Cannot invoke valueOf on a Matrix interface")},i.prototype.format=function(e){throw new Error("Cannot invoke format on a Matrix interface")},i.prototype.toString=function(){throw new Error("Cannot invoke toString on a Matrix interface")},i}},function(e,t,n){"use strict";var q=n(8);t.name="algorithm04",t.factory=function(e,t,r,k){var P=r(n(11)),R=e.SparseMatrix;return function(e,t,r){var n=e._values,i=e._index,o=e._ptr,a=e._size,s=e._datatype,u=t._values,c=t._index,f=t._ptr,l=t._size,p=t._datatype;if(a.length!==l.length)throw new q(a.length,l.length);if(a[0]!==l[0]||a[1]!==l[1])throw new RangeError("Dimension mismatch. Matrix A ("+a+") must match Matrix B ("+l+")");var m,h=a[0],d=a[1],y=P,g=0,v=r;"string"==typeof s&&s===p&&(m=s,y=k.find(P,[m,m]),g=k.convert(0,m),v=k.find(r,[m,m]));var x,b,w,N,M,E=n&&u?[]:void 0,A=[],S=[],O=new R({values:E,index:A,ptr:S,size:[h,d],datatype:m}),T=n&&u?[]:void 0,_=n&&u?[]:void 0,C=[],B=[];for(b=0;b<d;b++){S[b]=A.length;var z=b+1;for(N=o[b],M=o[b+1],w=N;w<M;w++)x=i[w],A.push(x),C[x]=z,T&&(T[x]=n[w]);for(N=f[b],M=f[b+1],w=N;w<M;w++)if(C[x=c[w]]===z){if(T){var I=v(T[x],u[w]);y(I,g)?C[x]=null:T[x]=I}}else A.push(x),B[x]=z,_&&(_[x]=u[w]);if(T&&_)for(w=S[b];w<A.length;)C[x=A[w]]===z?(E[w]=T[x],w++):B[x]===z?(E[w]=_[x],w++):A.splice(w,1)}return S[d]=A.length,O}}},function(e,t,B){"use strict";function z(e){return(z="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}t.math=!0,t.name="simplify",t.factory=function(l,e,t,r,p){var c=t(B(44)),m=t(B(51)),h=t(B(58)),d=t(B(69)),y=t(B(59)),s=t(B(68)),g=t(B(54)),n=t(B(124)),i=t(B(126)),u=t(B(204)),o=t(B(125)),v=o.isCommutative,x=o.isAssociative,f=o.flatten,b=o.unflattenr,w=o.unflattenl,N=o.createMakeNodeFunction,a=r("simplify",{string:function(e){return a(c(e),a.rules,{},{})},"string, Object":function(e,t){return a(c(e),a.rules,t,{})},"string, Object, Object":function(e,t,r){return a(c(e),a.rules,t,r)},"string, Array":function(e,t){return a(c(e),t,{},{})},"string, Array, Object":function(e,t,r){return a(c(e),t,r,{})},"string, Array, Object, Object":function(e,t,r,n){return a(c(e),t,r,n)},"Node, Object":function(e,t){return a(e,a.rules,t,{})},"Node, Object, Object":function(e,t,r){return a(e,a.rules,t,r)},Node:function(e){return a(e,a.rules,{},{})},"Node, Array":function(e,t){return a(e,t,{},{})},"Node, Array, Object":function(e,t,r){return a(e,t,r,{})},"Node, Array, Object, Object":function(e,t,r,n){t=function(e){for(var t=[],r=0;r<e.length;r++){var n=e[r],i=void 0,o=z(n);switch(o){case"string":var a=n.split("->");if(2!==a.length)throw SyntaxError("Could not parse rule: "+n);n={l:a[0],r:a[1]};case"object":if(i={l:M(c(n.l)),r:M(c(n.r))},n.context&&(i.evaluate=n.context),n.evaluate&&(i.evaluate=c(n.evaluate)),x(i.l)){var s=N(i.l),u=new g("_p"+A++);i.expanded={},i.expanded.l=s([i.l.clone(),u]),f(i.expanded.l),b(i.expanded.l),i.expanded.r=s([i.r,u])}break;case"function":i=n;break;default:throw TypeError("Unsupported type of rule: "+o)}t.push(i)}return t}(t);for(var i=u(e,r),o={},a=(i=M(i)).toString({parenthesis:"all"});!o[a];){o[a]=!0;for(var s=A=0;s<t.length;s++)i="function"==typeof t[s]?t[s](i,n):(f(i),S(i,t[s])),w(i);a=i.toString({parenthesis:"all"})}return i}});function M(e){return e.transform(function(e,t,r){return l.isParenthesisNode(e)?e.content:e})}a.simplifyCore=i,a.resolve=u;var E={true:!0,false:!0,e:!0,i:!0,Infinity:!0,LN2:!0,LN10:!0,LOG2E:!0,LOG10E:!0,NaN:!0,phi:!0,pi:!0,SQRT1_2:!0,SQRT2:!0,tau:!0};a.rules=[i,{l:"log(e)",r:"1"},{l:"n-n1",r:"n+-n1"},{l:"-(c*v)",r:"(-c) * v"},{l:"-v",r:"(-1) * v"},{l:"n/n1^n2",r:"n*n1^-n2"},{l:"n/n1",r:"n*n1^-1"},{l:"(n ^ n1) ^ n2",r:"n ^ (n1 * n2)"},{l:"n*n",r:"n^2"},{l:"n * n^n1",r:"n^(n1+1)"},{l:"n^n1 * n^n2",r:"n^(n1+n2)"},{l:"n+n",r:"2*n"},{l:"n+-n",r:"0"},{l:"n1*n2 + n2",r:"(n1+1)*n2"},{l:"n1*n3 + n2*n3",r:"(n1+n2)*n3"},{l:"n1 + -1 * (n2 + n3)",r:"n1 + -1 * n2 + -1 * n3"},n,{l:"(-n)*n1",r:"-(n*n1)"},{l:"c+v",r:"v+c",context:{add:{commutative:!1}}},{l:"v*c",r:"c*v",context:{multiply:{commutative:!1}}},{l:"n+-n1",r:"n-n1"},{l:"n*(n1^-1)",r:"n/n1"},{l:"n*n1^-n2",r:"n/n1^n2"},{l:"n1^-1",r:"1/n1"},{l:"n*(n1/n2)",r:"(n*n1)/n2"},{l:"n-(n1+n2)",r:"n-n1-n2"},{l:"1*n",r:"n"}];var A=0,S=r("applyRule",{"Node, Object":function(e,t){var r=e;if(r instanceof y||r instanceof d){if(r.args)for(var n=0;n<r.args.length;n++)r.args[n]=S(r.args[n],t)}else r instanceof s&&r.content&&(r.content=S(r.content,t));var i=t.r,o=_(t.l,r)[0];if(!o&&t.expanded&&(i=t.expanded.r,o=_(t.expanded.l,r)[0]),o){var a=r.implicit;r=i.clone(),a&&"implicit"in i&&(r.implicit=!0),r=function e(t){return t.isSymbolNode&&o.placeholders.hasOwnProperty(t.name)?o.placeholders[t.name].clone():t.map(e)}(r)}return r}});function O(e,t){var r={placeholders:{}};if(!e.placeholders&&!t.placeholders)return r;if(!e.placeholders)return t;if(!t.placeholders)return e;for(var n in e.placeholders)if(r.placeholders[n]=e.placeholders[n],t.placeholders.hasOwnProperty(n)&&!C(e.placeholders[n],t.placeholders[n]))return null;for(var i in t.placeholders)r.placeholders[i]=t.placeholders[i];return r}function T(e,t){var r,n=[];if(0===e.length||0===t.length)return n;for(var i=0;i<e.length;i++)for(var o=0;o<t.length;o++)(r=O(e[i],t[o]))&&n.push(r);return n}function _(e,t,r){var n=[{placeholders:{}}];if(e instanceof y&&t instanceof y||e instanceof d&&t instanceof d){if(e instanceof y){if(e.op!==t.op||e.fn!==t.fn)return[]}else if(e instanceof d&&e.name!==t.name)return[];if((1!==t.args.length||1!==e.args.length)&&x(t)&&!r){if(2<=t.args.length&&2===e.args.length){for(var i=function(e,t){var r,n,i=[],o=N(e);if(v(e,t))for(var a=0;a<e.args.length;a++)(n=e.args.slice(0)).splice(a,1),r=1===n.length?n[0]:o(n),i.push(o([e.args[a],r]));else r=1===(n=e.args.slice(1)).length?n[0]:o(n),i.push(o([e.args[0],r]));return i}(t,e.context),o=[],a=0;a<i.length;a++){var s=_(e,i[a],!0);o=o.concat(s)}return o}if(2<e.args.length)throw Error("Unexpected non-binary associative function: "+e.toString());return[]}for(var u=[],c=0;c<e.args.length;c++){var f=_(e.args[c],t.args[c]);if(0===f.length)return[];u.push(f)}n=function(e){if(0===e.length)return e;for(var t=e.reduce(T),r=[],n={},i=0;i<t.length;i++){var o=JSON.stringify(t[i]);n[o]||(n[o]=!0,r.push(t[i]))}return r}(u)}else if(e instanceof g){if(0===e.name.length)throw new Error("Symbol in rule has 0 length...!?");if(p.hasOwnProperty(e.name)){if(!E[e.name])throw new Error("Built in constant: "+e.name+" is not supported by simplify.");if(e.name!==t.name)return[]}else if("n"===e.name[0]||"_p"===e.name.substring(0,2))n[0].placeholders[e.name]=t;else if("v"===e.name[0]){if(l.isConstantNode(t))return[];n[0].placeholders[e.name]=t}else{if("c"!==e.name[0])throw new Error("Invalid symbol in rule: "+e.name);if(!(t instanceof h))return[];n[0].placeholders[e.name]=t}}else{if(!(e instanceof h))return[];if(!m(e.value,t.value))return[]}return n}function C(e,t){if(e instanceof h&&t instanceof h){if(!m(e.value,t.value))return!1}else if(e instanceof g&&t instanceof g){if(e.name!==t.name)return!1}else{if(!(e instanceof y&&t instanceof y||e instanceof d&&t instanceof d))return!1;if(e instanceof y){if(e.op!==t.op||e.fn!==t.fn)return!1}else if(e instanceof d&&e.name!==t.name)return!1;if(e.args.length!==t.args.length)return!1;for(var r=0;r<e.args.length;r++)if(!C(e.args[r],t.args[r]))return!1}return!0}return a}},function(e,t,a){"use strict";var k=a(31).object;t.name="lup",t.factory=function(e,t,r,n){var i=r(a(1)),E=r(a(23)),A=r(a(17)),S=r(a(12)),O=r(a(21)),T=r(a(15)),_=r(a(33)),C=r(a(11)),M=r(a(39)),B=e.SparseMatrix,z=e.DenseMatrix,I=e.Spa;function o(e){var t,r,n,i=e._size[0],o=e._size[1],a=Math.min(i,o),s=k.clone(e._data),u=[],c=[i,a],f=[],l=[a,o],p=[];for(t=0;t<i;t++)p[t]=t;for(r=0;r<o;r++){if(0<r)for(t=0;t<i;t++){var m=Math.min(t,r),h=0;for(n=0;n<m;n++)h=A(h,O(s[t][n],s[n][r]));s[t][r]=T(s[t][r],h)}var d=r,y=0,g=0;for(t=r;t<i;t++){var v=s[t][r],x=E(v);_(x,y)&&(d=t,y=x,g=v)}if(r!==d&&(p[r]=[p[d],p[d]=p[r]][0],z._swapRows(r,d,s)),r<i)for(t=r+1;t<i;t++){var b=s[t][r];C(b,0)||(s[t][r]=S(s[t][r],g))}}for(r=0;r<o;r++)for(t=0;t<i;t++)0===r&&(t<o&&(f[t]=[]),u[t]=[]),t<r?(t<o&&(f[t][r]=s[t][r]),r<i&&(u[t][r]=0)):t!==r?(t<o&&(f[t][r]=0),r<i&&(u[t][r]=s[t][r])):(t<o&&(f[t][r]=s[t][r]),r<i&&(u[t][r]=1));var w=new z({data:u,size:c}),N=new z({data:f,size:l}),M=[];for(t=0,a=p.length;t<a;t++)M[p[t]]=t;return{L:w,U:N,p:M,toString:function(){return"L: "+this.L.toString()+"\nU: "+this.U.toString()+"\nP: "+this.p}}}return n("lup",{DenseMatrix:function(e){return o(e)},SparseMatrix:function(e){return function(e){var r,s,u,c=e._size[0],t=e._size[1],n=Math.min(c,t),f=e._values,l=e._index,p=e._ptr,m=[],h=[],d=[],y=[c,n],g=[],v=[],x=[],b=[n,t],w=[],N=[];for(r=0;r<c;r++)w[r]=r,N[r]=r;var i=function(){var i=new I;s<c&&(d.push(m.length),m.push(1),h.push(s)),x.push(g.length);var e=p[s],t=p[s+1];for(u=e;u<t;u++)r=l[u],i.set(w[r],f[u]);0<s&&i.forEach(0,s-1,function(r,n){B._forEachRow(r,m,h,d,function(e,t){r<e&&i.accumulate(e,M(O(t,n)))})});var n=s,o=i.get(s),a=E(o);i.forEach(s+1,c-1,function(e,t){var r=E(t);_(r,a)&&(n=e,a=r,o=t)}),s!==n&&(B._swapRows(s,n,y[1],m,h,d),B._swapRows(s,n,b[1],g,v,x),i.swap(s,n),function(e,t){var r=N[e],n=N[t];w[r]=t,w[n]=e,N[e]=n,N[t]=r}(s,n)),i.forEach(0,c-1,function(e,t){e<=s?(g.push(t),v.push(e)):(t=S(t,o),C(t,0)||(m.push(t),h.push(e)))})};for(s=0;s<t;s++)i();return x.push(g.length),d.push(m.length),{L:new B({values:m,index:h,ptr:d,size:y}),U:new B({values:g,index:v,ptr:x,size:b}),p:w,toString:function(){return"L: "+this.L.toString()+"\nU: "+this.U.toString()+"\nP: "+this.p}}}(e)},Array:function(e){var t=o(i(e));return{L:t.L.valueOf(),U:t.U.valueOf(),p:t.p}}})}},function(e,t,r){"use strict";t.name="csFlip",t.path="algebra.sparse",t.factory=function(){return function(e){return-e-2}}},function(e,t,p){"use strict";var m=p(3).nearlyEqual,h=p(32);t.name="largerEq",t.factory=function(e,r,t,n){var i=t(p(1)),o=t(p(18)),a=t(p(28)),s=t(p(19)),u=t(p(7)),c=t(p(6)),f=p(4),l=n("largerEq",{"boolean, boolean":function(e,t){return t<=e},"number, number":function(e,t){return t<=e||m(e,t,r.epsilon)},"BigNumber, BigNumber":function(e,t){return e.gte(t)||h(e,t,r.epsilon)},"Fraction, Fraction":function(e,t){return-1!==e.compare(t)},"Complex, Complex":function(){throw new TypeError("No ordering relation is defined for complex numbers")},"Unit, Unit":function(e,t){if(!e.equalBase(t))throw new Error("Cannot compare units with different base");return l(e.value,t.value)},"SparseMatrix, SparseMatrix":function(e,t){return a(e,t,l)},"SparseMatrix, DenseMatrix":function(e,t){return o(t,e,l,!0)},"DenseMatrix, SparseMatrix":function(e,t){return o(e,t,l,!1)},"DenseMatrix, DenseMatrix":function(e,t){return u(e,t,l)},"Array, Array":function(e,t){return l(i(e),i(t)).valueOf()},"Array, Matrix":function(e,t){return l(i(e),t)},"Matrix, Array":function(e,t){return l(e,i(t))},"SparseMatrix, any":function(e,t){return s(e,t,l,!1)},"DenseMatrix, any":function(e,t){return c(e,t,l,!1)},"any, SparseMatrix":function(e,t){return s(t,e,l,!0)},"any, DenseMatrix":function(e,t){return c(t,e,l,!0)},"Array, any":function(e,t){return c(i(e),t,l,!1).valueOf()},"any, Array":function(e,t){return c(i(t),e,l,!0).valueOf()}});return l.toTex={2:"\\left(${args[0]}".concat(f.operators.largerEq,"${args[1]}\\right)")},l}},function(e,t,r){"use strict";var n=r(31),g=n.string,v=n.array,x=Array.isArray;t.factory=function(d){var y=d.DenseMatrix;return function(e,t,r){var n=e.size();if(2!==n.length)throw new RangeError("Matrix must be two dimensional (size: "+g.format(n)+")");var i,o,a,s=n[0];if(s!==n[1])throw new RangeError("Matrix must be square (size: "+g.format(n)+")");if(d.isMatrix(t)){var u=t.size();if(1===u.length){if(u[0]!==s)throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");for(i=[],a=t._data,o=0;o<s;o++)i[o]=[a[o]];return new y({data:i,size:[s,1],datatype:t._datatype})}if(2!==u.length)throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");if(u[0]!==s||1!==u[1])throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");if(d.isDenseMatrix(t)){if(r){for(i=[],a=t._data,o=0;o<s;o++)i[o]=[a[o][0]];return new y({data:i,size:[s,1],datatype:t._datatype})}return t}for(i=[],o=0;o<s;o++)i[o]=[0];for(var c=t._values,f=t._index,l=t._ptr,p=l[1],m=l[0];m<p;m++)i[o=f[m]][0]=c[m];return new y({data:i,size:[s,1],datatype:t._datatype})}if(x(t)){var h=v.size(t);if(1===h.length){if(h[0]!==s)throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");for(i=[],o=0;o<s;o++)i[o]=[t[o]];return new y({data:i,size:[s,1]})}if(2!==h.length)throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");if(h[0]!==s||1!==h[1])throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");for(i=[],o=0;o<s;o++)i[o]=[t[o][0]];return new y({data:i,size:[s,1]})}}}},function(e,t,a){"use strict";var s=a(0);t.name="log",t.factory=function(t,r,e,n){var i=e(a(12)),o=n("log",{number:function(e){return 0<=e||r.predictable?Math.log(e):new t.Complex(e,0).log()},Complex:function(e){return e.log()},BigNumber:function(e){return!e.isNegative()||r.predictable?e.ln():new t.Complex(e.toNumber(),0).log()},"Array | Matrix":function(e){return s(e,o)},"any, any":function(e,t){return i(o(e),o(t))}});return o.toTex={1:"\\ln\\left(${args[0]}\\right)",2:"\\log_{${args[1]}}\\left(${args[0]}\\right)"},o}},function(e,t,r){"use strict";var b=r(92);function w(e){for(var t=e.d,r=t[0]+"",n=1;n<t.length;++n){for(var i=t[n]+"",o=7-i.length;o--;)i="0"+i;r+=i}for(var a=r.length;"0"===r.charAt(a);)a--;var s=e.e,u=r.slice(0,a+1||1),c=u.length;if(0<s)if(++s>c)for(s-=c;s--;)u+="0";else s<c&&(u=u.slice(0,s)+"."+u.slice(s));for(var f=[0],l=0;l<u.length;){for(var p=f.length;p--;)f[p]*=10;f[0]+=parseInt(u.charAt(l++));for(var m=0;m<f.length;++m)1<f[m]&&(null!==f[m+1]&&void 0!==f[m+1]||(f[m+1]=0),f[m+1]+=f[m]>>1,f[m]&=1)}return f.reverse()}e.exports=function(e,t,r){var n,i,o,a,s,u=e.constructor,c=+(e.s<0),f=+(t.s<0);if(c){n=w(b(e));for(var l=0;l<n.length;++l)n[l]^=1}else n=w(e);if(f){i=w(b(t));for(var p=0;p<i.length;++p)i[p]^=1}else i=w(t);s=n.length<=i.length?(o=n,a=i,c):(o=i,a=n,f);var m=o.length,h=a.length,d=1^r(c,f),y=new u(1^d),g=new u(1),v=new u(2),x=u.precision;for(u.config({precision:1e9});0<m;)r(o[--m],a[--h])===d&&(y=y.plus(g)),g=g.times(v);for(;0<h;)r(s,a[--h])===d&&(y=y.plus(g)),g=g.times(v);return u.config({precision:x}),0==d&&(y.s=-y.s),y}},function(e,t,r){"use strict";e.exports=function(e){if(e.isFinite()&&!e.isInteger())throw new Error("Integer expected in function bitNot");var t=e.constructor,r=t.precision;t.config({precision:1e9});var n=e.plus(new t(1));return n.s=-n.s||null,t.config({precision:r}),n}},function(e,t,n){"use strict";var P=n(8);t.name="algorithm08",t.factory=function(e,t,r,z){var I=r(n(11)),k=e.SparseMatrix;return function(e,t,r){var n=e._values,i=e._index,o=e._ptr,a=e._size,s=e._datatype,u=t._values,c=t._index,f=t._ptr,l=t._size,p=t._datatype;if(a.length!==l.length)throw new P(a.length,l.length);if(a[0]!==l[0]||a[1]!==l[1])throw new RangeError("Dimension mismatch. Matrix A ("+a+") must match Matrix B ("+l+")");if(!n||!u)throw new Error("Cannot perform operation on Pattern Sparse Matrices");var m,h=a[0],d=a[1],y=I,g=0,v=r;"string"==typeof s&&s===p&&(m=s,y=z.find(I,[m,m]),g=z.convert(0,m),v=z.find(r,[m,m]));for(var x,b,w,N,M=[],E=[],A=[],S=new k({values:M,index:E,ptr:A,size:[h,d],datatype:m}),O=[],T=[],_=0;_<d;_++){A[_]=E.length;var C=_+1;for(b=o[_],w=o[_+1],x=b;x<w;x++)T[N=i[x]]=C,O[N]=n[x],E.push(N);for(b=f[_],w=f[_+1],x=b;x<w;x++)T[N=c[x]]===C&&(O[N]=v(O[N],u[x]));for(x=A[_];x<E.length;){var B=O[N=E[x]];y(B,g)?E.splice(x,1):(M.push(B),x++)}}return A[d]=E.length,S}}},function(e,t){e.exports=function e(t,r){var n;return r<t?1:r===t?r:e(t,n=r+t>>1)*e(1+n,r)}},function(e,t,a){"use strict";var s=a(2).size,u=a(56),c=a(48);function f(e,t,r){var n,i,o;if(t<=0){if(Array.isArray(e[0])){for(o=function(e){var t,r,n=e.length,i=e[0].length,o=[];for(r=0;r<i;r++){var a=[];for(t=0;t<n;t++)a.push(e[t][r]);o.push(a)}return o}(e),i=[],n=0;n<o.length;n++)i[n]=f(o[n],t-1,r);return i}return r(e)}for(i=[],n=0;n<e.length;n++)i[n]=f(e[n],t-1,r);return i}t.name="apply",t.factory=function(e,t,r,n){var i=r(a(34)),o=n("apply",{"Array | Matrix, number | BigNumber, function":function(e,t,r){if(!i(t))throw new TypeError("Integer number expected for dimension");var n=Array.isArray(e)?s(e):e.size();if(t<0||t>=n.length)throw new c(t,n.length);return u(e)?e.create(f(e.valueOf(),t,r)):f(e,t,r)}});return o.toTex=void 0,o}},function(e,t,u){"use strict";var c=u(3).isInteger;t.name="partitionSelect",t.factory=function(n,e,t,r){var f=t(u(52)),l=t(u(78)),i=t(u(55));function o(e,t){return-i(e,t)}return r("partitionSelect",{"Array | Matrix, number":function(e,t){return a(e,t,i)},"Array | Matrix, number, string":function(e,t,r){if("asc"===r)return a(e,t,i);if("desc"===r)return a(e,t,o);throw new Error('Compare string must be "asc" or "desc"')},"Array | Matrix, number, function":a});function a(e,t,r){if(!c(t)||t<0)throw new Error("k must be a non-negative integer");if(n.isMatrix(e)){if(1<e.size().length)throw new Error("Only one dimensional matrices supported");return s(e.valueOf(),t,r)}if(Array.isArray(e))return s(e,t,r)}function s(e,t,r){if(t>=e.length)throw new Error("k out of bounds");for(var n=0;n<e.length;n++)if(f(e[n])&&l(e[n]))return e[n];for(var i=0,o=e.length-1;i<o;){for(var a=i,s=o,u=e[Math.floor(Math.random()*(o-i+1))+i];a<s;)if(0<=r(e[a],u)){var c=e[s];e[s]=e[a],e[a]=c,--s}else++a;0<r(e[a],u)&&--a,t<=a?o=a:i=a+1}return e[t]}}},function(e,t,c){"use strict";var f=c(47),l=c(79),p=c(62);t.name="max",t.factory=function(e,t,r,n){var i=r(c(33)),o=r(c(40)),a=n("max",{"Array | Matrix":u,"Array | Matrix, number | BigNumber":function(e,t){return l(e,t.valueOf(),s)},"...":function(e){if(p(e))throw new TypeError("Scalar values expected in function max");return u(e)}});return a.toTex="\\max\\left(${args}\\right)",a;function s(e,t){try{return i(e,t)?e:t}catch(e){throw o(e,"max",t)}}function u(e){var r;if(f(e,function(t){try{isNaN(t)&&"number"==typeof t?r=NaN:(void 0===r||i(t,r))&&(r=t)}catch(e){throw o(e,"max",t)}}),void 0===r)throw new Error("Cannot calculate max of an empty array");return r}}},function(e,t,u){"use strict";var c=u(47),f=u(79),l=u(62);t.name="sum",t.factory=function(t,n,e,r){var i=e(u(17)),o=e(u(40)),a=r("sum",{"Array | Matrix":s,"Array | Matrix, number | BigNumber":function(e,t){try{var r=f(e,t,i);return r}catch(e){throw o(e,"sum")}},"...":function(e){if(l(e))throw new TypeError("Scalar values expected in function sum");return s(e)}});return a.toTex=void 0,a;function s(e){var r;if(c(e,function(t){try{r=void 0===r?t:i(r,t)}catch(e){throw o(e,"sum",t)}}),void 0===r)switch(n.number){case"number":return 0;case"BigNumber":return new t.BigNumber(0);case"Fraction":return new t.Fraction(0);default:return 0}return r}}},function(e,t,a){"use strict";var f=a(57),l=a(35),y=a(3).isNumber;t.name="distribution",t.factory=function(m,e,t,n,r){var u=t(a(1)),h=a(2),d=t(a(296));function i(e){if(!o.hasOwnProperty(e))throw new Error("Unknown distribution "+e);var t=Array.prototype.slice.call(arguments,1);return function(r){function o(e,t,r){var n=void 0===t;if(n&&(t=1),m.isMatrix(e))e=e.valueOf();else if(!Array.isArray(e))throw new TypeError("Unsupported type of value in function pickRandom");if(1<h.size(e).length)throw new Error("Only one dimensional vectors supported");var i=0;if(void 0!==r){if(r.length!==e.length)throw new Error("Weights must have the same length as possibles");for(var o=0,a=r.length;o<a;o++){if(!y(r[o])||r[o]<0)throw new Error("Weights must be an array of positive numbers");i+=r[o]}}var s=e.length;if(0===s)return[];if(s<=t)return 1<t?e:e[0];for(var u,c=[];c.length<t;){if(void 0===r)u=e[Math.floor(d()*s)];else for(var f=d()*i,l=0,p=e.length;l<p;l++)if((f-=r[l])<0){u=e[l];break}-1===c.indexOf(u)&&c.push(u)}return n?c[0]:c}function s(e,t){return e+r()*(t-e)}function a(e,t){return Math.floor(e+r()*(t-e))}function c(e,t,r,n){var i=[];if(1<(e=e.slice(0)).length)for(var o=0,a=e.shift();o<a;o++)i.push(c(e,t,r,n));else for(var s=0,u=e.shift();s<u;s++)i.push(n(t,r));return i}return{random:function(e,t,r){var n,i,o;if(3<arguments.length)throw new f("random",arguments.length,0,3);if(1===arguments.length?l(e)?n=e:o=e:o=2===arguments.length?(l(e)?n=e:i=e,t):(n=e,i=t,r),void 0!==i&&!y(i)||void 0!==o&&!y(o))throw new TypeError("Invalid argument in function random");if(void 0===o&&(o=1),void 0===i&&(i=0),void 0===n)return s(i,o);var a=c(n.valueOf(),i,o,s);return m.isMatrix(n)?u(a):a},randomInt:n({"number | Array":function(e){if(l(e)){var t=e,r=c(t.valueOf(),0,1,a);return m.isMatrix(t)?u(r):r}return a(0,e)},"number | Array, number":function(e,t){if(l(e)){var r=e,n=t,i=c(r.valueOf(),0,n,a);return m.isMatrix(r)?u(i):i}return a(e,t)},"Array, number, number":function(e,t,r){var n=c(e.valueOf(),t,r,a);return e&&!0===e.isMatrix?u(n):n}}),pickRandom:n({Array:function(e){return o(e)},"Array, number | Array":function(e,t){var r,n;if(Array.isArray(t))n=t;else{if(!y(t))throw new TypeError("Invalid argument in function pickRandom");r=t}return o(e,r,n)},"Array, number | Array, Array | number":function(e,t,r){var n,i;if(n=Array.isArray(t)?(i=t,r):(i=r,t),!Array.isArray(i)||!y(n))throw new TypeError("Invalid argument in function pickRandom");return o(e,n,i)}})}}(o[e].apply(this,t))}var o={uniform:function(){return d},normal:function(){return function(){for(var e,t,r=-1;r<0||1<r;)e=d(),t=d(),r=1/6*Math.pow(-2*Math.log(e),.5)*Math.cos(2*Math.PI*t)+.5;return r}}};return i.toTex=void 0,i}},function(e,t,h){"use strict";var d="unbiased",y=h(47);t.name="var",t.factory=function(a,e,t,r){var n=t(h(95)),s=t(h(17)),u=t(h(15)),c=t(h(21)),f=t(h(12)),l=t(h(78)),p=t(h(40)),i=r("variance",{"Array | Matrix":function(e){return o(e,d)},"Array | Matrix, string":o,"Array | Matrix, number | BigNumber":function(e,t){return m(e,t,d)},"Array | Matrix, number | BigNumber, string":m,"...":function(e){return o(e,d)}});return i.toTex="\\mathrm{Var}\\left(${args}\\right)",i;function o(e,t){var r=0,n=0;if(0===e.length)throw new SyntaxError("Function var requires one or more parameters (0 provided)");if(y(e,function(t){try{r=s(r,t),n++}catch(e){throw p(e,"var",t)}}),0===n)throw new Error("Cannot calculate var of an empty array");var i=f(r,n);if(r=0,y(e,function(e){var t=u(e,i);r=s(r,c(t,t))}),l(r))return r;switch(t){case"uncorrected":return f(r,n);case"biased":return f(r,n+1);case"unbiased":var o=a.isBigNumber(r)?new a.BigNumber(0):0;return 1===n?o:f(r,n-1);default:throw new Error('Unknown normalization "'+t+'". Choose "unbiased" (default), "uncorrected", or "biased".')}}function m(e,t,r){try{if(0===e.length)throw new SyntaxError("Function var requires one or more parameters (0 provided)");return n(e,t,function(e){return o(e,r)})}catch(e){throw p(e,"var")}}}},function(e,t,r){"use strict";t.factory=function(s,e,t,r){return function(e,t,r){var n=e.filter(function(e){return s.isSymbolNode(e)&&!(e.name in t)&&!(e.name in r)})[0];if(!n)throw new Error('No undefined variable found in inline expression "'+e+'"');var i=n.name,o=Object.create(r),a=e.compile();return function(e){return o[i]=e,a.eval(o)}}}},function(e,t,r){"use strict";function n(e){return(n="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}var i=r(162),o=r(3).digits,a=r(80),s=r(56),u=function(){return u=i.create,i};t.create=function(r){r.isNumber=function(e){return"number"==typeof e},r.isComplex=function(e){return r.Complex&&e instanceof r.Complex||!1},r.isBigNumber=a,r.isFraction=function(e){return r.Fraction&&e instanceof r.Fraction||!1},r.isUnit=function(e){return e&&e.constructor.prototype.isUnit||!1},r.isString=function(e){return"string"==typeof e},r.isArray=Array.isArray,r.isMatrix=s,r.isDenseMatrix=function(e){return e&&e.isDenseMatrix&&e.constructor.prototype.isMatrix||!1},r.isSparseMatrix=function(e){return e&&e.isSparseMatrix&&e.constructor.prototype.isMatrix||!1},r.isRange=function(e){return e&&e.constructor.prototype.isRange||!1},r.isIndex=function(e){return e&&e.constructor.prototype.isIndex||!1},r.isBoolean=function(e){return"boolean"==typeof e},r.isResultSet=function(e){return e&&e.constructor.prototype.isResultSet||!1},r.isHelp=function(e){return e&&e.constructor.prototype.isHelp||!1},r.isFunction=function(e){return"function"==typeof e},r.isDate=function(e){return e instanceof Date},r.isRegExp=function(e){return e instanceof RegExp},r.isObject=function(e){return"object"===n(e)&&e.constructor===Object&&!r.isComplex(e)&&!r.isFraction(e)},r.isNull=function(e){return null===e},r.isUndefined=function(e){return void 0===e},r.isAccessorNode=function(e){return e&&e.isAccessorNode&&e.constructor.prototype.isNode||!1},r.isArrayNode=function(e){return e&&e.isArrayNode&&e.constructor.prototype.isNode||!1},r.isAssignmentNode=function(e){return e&&e.isAssignmentNode&&e.constructor.prototype.isNode||!1},r.isBlockNode=function(e){return e&&e.isBlockNode&&e.constructor.prototype.isNode||!1},r.isConditionalNode=function(e){return e&&e.isConditionalNode&&e.constructor.prototype.isNode||!1},r.isConstantNode=function(e){return e&&e.isConstantNode&&e.constructor.prototype.isNode||!1},r.isFunctionAssignmentNode=function(e){return e&&e.isFunctionAssignmentNode&&e.constructor.prototype.isNode||!1},r.isFunctionNode=function(e){return e&&e.isFunctionNode&&e.constructor.prototype.isNode||!1},r.isIndexNode=function(e){return e&&e.isIndexNode&&e.constructor.prototype.isNode||!1},r.isNode=function(e){return e&&e.isNode&&e.constructor.prototype.isNode||!1},r.isObjectNode=function(e){return e&&e.isObjectNode&&e.constructor.prototype.isNode||!1},r.isOperatorNode=function(e){return e&&e.isOperatorNode&&e.constructor.prototype.isNode||!1},r.isParenthesisNode=function(e){return e&&e.isParenthesisNode&&e.constructor.prototype.isNode||!1},r.isRangeNode=function(e){return e&&e.isRangeNode&&e.constructor.prototype.isNode||!1},r.isSymbolNode=function(e){return e&&e.isSymbolNode&&e.constructor.prototype.isNode||!1},r.isChain=function(e){return e&&e.constructor.prototype.isChain||!1};var e=u();return e.types=[{name:"number",test:r.isNumber},{name:"Complex",test:r.isComplex},{name:"BigNumber",test:r.isBigNumber},{name:"Fraction",test:r.isFraction},{name:"Unit",test:r.isUnit},{name:"string",test:r.isString},{name:"Array",test:r.isArray},{name:"Matrix",test:r.isMatrix},{name:"DenseMatrix",test:r.isDenseMatrix},{name:"SparseMatrix",test:r.isSparseMatrix},{name:"Range",test:r.isRange},{name:"Index",test:r.isIndex},{name:"boolean",test:r.isBoolean},{name:"ResultSet",test:r.isResultSet},{name:"Help",test:r.isHelp},{name:"function",test:r.isFunction},{name:"Date",test:r.isDate},{name:"RegExp",test:r.isRegExp},{name:"null",test:r.isNull},{name:"undefined",test:r.isUndefined},{name:"OperatorNode",test:r.isOperatorNode},{name:"ConstantNode",test:r.isConstantNode},{name:"SymbolNode",test:r.isSymbolNode},{name:"ParenthesisNode",test:r.isParenthesisNode},{name:"FunctionNode",test:r.isFunctionNode},{name:"FunctionAssignmentNode",test:r.isFunctionAssignmentNode},{name:"ArrayNode",test:r.isArrayNode},{name:"AssignmentNode",test:r.isAssignmentNode},{name:"BlockNode",test:r.isBlockNode},{name:"ConditionalNode",test:r.isConditionalNode},{name:"IndexNode",test:r.isIndexNode},{name:"RangeNode",test:r.isRangeNode},{name:"Node",test:r.isNode},{name:"Object",test:r.isObject}],e.conversions=[{from:"number",to:"BigNumber",convert:function(e){if(15<o(e))throw new TypeError("Cannot implicitly convert a number with >15 significant digits to BigNumber (value: "+e+"). Use function bignumber(x) to convert to BigNumber.");return new r.BigNumber(e)}},{from:"number",to:"Complex",convert:function(e){return new r.Complex(e,0)}},{from:"number",to:"string",convert:function(e){return e+""}},{from:"BigNumber",to:"Complex",convert:function(e){return new r.Complex(e.toNumber(),0)}},{from:"Fraction",to:"BigNumber",convert:function(e){throw new TypeError("Cannot implicitly convert a Fraction to BigNumber or vice versa. Use function bignumber(x) to convert to BigNumber or fraction(x) to convert to Fraction.")}},{from:"Fraction",to:"Complex",convert:function(e){return new r.Complex(e.valueOf(),0)}},{from:"number",to:"Fraction",convert:function(e){if(new r.Fraction(e).valueOf()!==e)throw new TypeError("Cannot implicitly convert a number to a Fraction when there will be a loss of precision (value: "+e+"). Use function fraction(x) to convert to Fraction.");return new r.Fraction(e)}},{from:"string",to:"number",convert:function(e){var t=Number(e);if(isNaN(t))throw new Error('Cannot convert "'+e+'" to a number');return t}},{from:"string",to:"BigNumber",convert:function(t){try{return new r.BigNumber(t)}catch(e){throw new Error('Cannot convert "'+t+'" to BigNumber')}}},{from:"string",to:"Fraction",convert:function(t){try{return new r.Fraction(t)}catch(e){throw new Error('Cannot convert "'+t+'" to Fraction')}}},{from:"string",to:"Complex",convert:function(t){try{return new r.Complex(t)}catch(e){throw new Error('Cannot convert "'+t+'" to Complex')}}},{from:"boolean",to:"number",convert:function(e){return+e}},{from:"boolean",to:"BigNumber",convert:function(e){return new r.BigNumber(+e)}},{from:"boolean",to:"Fraction",convert:function(e){return new r.Fraction(+e)}},{from:"boolean",to:"string",convert:function(e){return+e}},{from:"Array",to:"Matrix",convert:function(e){return new r.DenseMatrix(e)}},{from:"Matrix",to:"Array",convert:function(e){return e.valueOf()}}],e}},function(e,t,r){"use strict";var n=r(163);t.mixin=function(e){var t=new n;return e.on=t.on.bind(t),e.off=t.off.bind(t),e.once=t.once.bind(t),e.emit=t.emit.bind(t),e}},function(e,t,r){"use strict";var o=r(0);t.name="bignumber",t.factory=function(t,e,r,n){var i=n("bignumber",{"":function(){return new t.BigNumber(0)},number:function(e){return new t.BigNumber(e+"")},string:function(e){return new t.BigNumber(e)},BigNumber:function(e){return e},Fraction:function(e){return new t.BigNumber(e.n).div(e.d).times(e.s)},null:function(e){return new t.BigNumber(0)},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={0:"0",1:"\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var i=r(3);t.name="Range",t.path="type",t.factory=function(a,e,t,r){function s(e,t,r){if(!(this instanceof s))throw new SyntaxError("Constructor must be called with the new operator");var n=null!=e,i=null!=t,o=null!=r;if(n)if(a.isBigNumber(e))e=e.toNumber();else if("number"!=typeof e)throw new TypeError("Parameter start must be a number");if(i)if(a.isBigNumber(t))t=t.toNumber();else if("number"!=typeof t)throw new TypeError("Parameter end must be a number");if(o)if(a.isBigNumber(r))r=r.toNumber();else if("number"!=typeof r)throw new TypeError("Parameter step must be a number");this.start=n?parseFloat(e):0,this.end=i?parseFloat(t):0,this.step=o?parseFloat(r):1}return s.prototype.type="Range",s.prototype.isRange=!0,s.parse=function(e){if("string"!=typeof e)return null;var t=e.split(":").map(function(e){return parseFloat(e)});if(t.some(function(e){return isNaN(e)}))return null;switch(t.length){case 2:return new s(t[0],t[1]);case 3:return new s(t[0],t[2],t[1]);default:return null}},s.prototype.clone=function(){return new s(this.start,this.end,this.step)},s.prototype.size=function(){var e=0,t=this.start,r=this.step,n=this.end-t;return i.sign(r)===i.sign(n)?e=Math.ceil(n/r):0==n&&(e=0),isNaN(e)&&(e=0),[e]},s.prototype.min=function(){var e=this.size()[0];return 0<e?0<this.step?this.start:this.start+(e-1)*this.step:void 0},s.prototype.max=function(){var e=this.size()[0];return 0<e?0<this.step?this.start+(e-1)*this.step:this.start:void 0},s.prototype.forEach=function(e){var t=this.start,r=this.step,n=this.end,i=0;if(0<r)for(;t<n;)e(t,[i],this),t+=r,i++;else if(r<0)for(;n<t;)e(t,[i],this),t+=r,i++},s.prototype.map=function(n){var i=[];return this.forEach(function(e,t,r){i[t[0]]=n(e,t,r)}),i},s.prototype.toArray=function(){var r=[];return this.forEach(function(e,t){r[t[0]]=e}),r},s.prototype.valueOf=function(){return this.toArray()},s.prototype.format=function(e){var t=i.format(this.start,e);return 1!==this.step&&(t+=":"+i.format(this.step,e)),t+=":"+i.format(this.end,e)},s.prototype.toString=function(){return this.format()},s.prototype.toJSON=function(){return{mathjs:"Range",start:this.start,end:this.end,step:this.step}},s.fromJSON=function(e){return new s(e.start,e.end,e.step)},s}},function(e,t,r){"use strict";t.name="ResultSet",t.path="type",t.factory=function(e,t,r,n){function i(e){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator");this.entries=e||[]}return i.prototype.type="ResultSet",i.prototype.isResultSet=!0,i.prototype.valueOf=function(){return this.entries},i.prototype.toString=function(){return"["+this.entries.join(", ")+"]"},i.prototype.toJSON=function(){return{mathjs:"ResultSet",entries:this.entries}},i.fromJSON=function(e){return new i(e.entries)},i}},function(e,t,r){"use strict";var n=r(36).memoize;function i(e){return e[0].precision}t.e=n(function(e){return new e(1).exp()},i),t.phi=n(function(e){return new e(1).plus(new e(5).sqrt()).div(2)},i),t.pi=n(function(e){return e.acos(-1)},i),t.tau=n(function(e){return t.pi(e).times(2)},i)},function(e,t,s){"use strict";var u=s(0);t.name="fix",t.factory=function(t,e,r,n){var i=r(s(109)),o=r(s(110)),a=n("fix",{number:function(e){return 0<e?o(e):i(e)},Complex:function(e){return new t.Complex(0<e.re?Math.floor(e.re):Math.ceil(e.re),0<e.im?Math.floor(e.im):Math.ceil(e.im))},BigNumber:function(e){return e.isNegative()?i(e):o(e)},Fraction:function(e){return e.s<0?e.ceil():e.floor()},"Array | Matrix":function(e){return u(e,a,!0)}});return a.toTex={1:"\\mathrm{${name}}\\left(${args[0]}\\right)"},a}},function(e,t,a){"use strict";var s=a(0),u=a(3).nearlyEqual,c=a(32);t.name="ceil",t.factory=function(e,t,r,n){var i=r(a(67)),o=n("ceil",{number:function(e){return u(e,i(e),t.epsilon)?i(e):Math.ceil(e)},Complex:function(e){return e.ceil()},BigNumber:function(e){return c(e,i(e),t.epsilon)?i(e):e.ceil()},Fraction:function(e){return e.ceil()},"Array | Matrix":function(e){return s(e,o,!0)}});return o.toTex={1:"\\left\\lceil${args[0]}\\right\\rceil"},o}},function(e,t,a){"use strict";var s=a(0),u=a(3).nearlyEqual,c=a(32);t.name="floor",t.factory=function(e,t,r,n){var i=r(a(67)),o=n("floor",{number:function(e){return u(e,i(e),t.epsilon)?i(e):Math.floor(e)},Complex:function(e){return e.floor()},BigNumber:function(e){return c(e,i(e),t.epsilon)?i(e):e.floor()},Fraction:function(e){return e.floor()},"Array | Matrix":function(e){return s(e,o,!0)}});return o.toTex={1:"\\left\\lfloor${args[0]}\\right\\rfloor"},o}},function(e,t,r){"use strict";var o=r(9);t.name="format",t.factory=function(e,t,r,n){var i=n("format",{any:o.format,"any, Object | function | number":o.format});return i.toTex=void 0,i}},function(e,t,u){"use strict";var c=u(13).getSafeProperty;t.name="AccessorNode",t.path="expression.node",t.factory=function(r,e,t,n){var i=t(u(16)),s=t(u(114));function o(e,t){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");if(!r.isNode(e))throw new TypeError('Node expected for parameter "object"');if(!r.isIndexNode(t))throw new TypeError('IndexNode expected for parameter "index"');this.object=e||null,this.index=t,Object.defineProperty(this,"name",{get:function(){return this.index?this.index.isObjectProperty()?this.index.getObjectProperty():"":this.object.name||""}.bind(this),set:function(){throw new Error("Cannot assign a new name, name is read-only")}})}function a(e){return!(r.isAccessorNode(e)||r.isArrayNode(e)||r.isConstantNode(e)||r.isFunctionNode(e)||r.isObjectNode(e)||r.isParenthesisNode(e)||r.isSymbolNode(e))}return(o.prototype=new i).type="AccessorNode",o.prototype.isAccessorNode=!0,o.prototype._compile=function(e,t){var o=this.object._compile(e,t),a=this.index._compile(e,t);if(this.index.isObjectProperty()){var n=this.index.getObjectProperty();return function(e,t,r){return c(o(e,t,r),n)}}return function(e,t,r){var n=o(e,t,r),i=a(e,t,n);return s(n,i)}},o.prototype.forEach=function(e){e(this.object,"object",this),e(this.index,"index",this)},o.prototype.map=function(e){return new o(this._ifNode(e(this.object,"object",this)),this._ifNode(e(this.index,"index",this)))},o.prototype.clone=function(){return new o(this.object,this.index)},o.prototype._toString=function(e){var t=this.object.toString(e);return a(this.object)&&(t="("+t+")"),t+this.index.toString(e)},o.prototype.toHTML=function(e){var t=this.object.toHTML(e);return a(this.object)&&(t='<span class="math-parenthesis math-round-parenthesis">(</span>'+t+'<span class="math-parenthesis math-round-parenthesis">)</span>'),t+this.index.toHTML(e)},o.prototype._toTex=function(e){var t=this.object.toTex(e);return a(this.object)&&(t="\\left(' + object + '\\right)"),t+this.index.toTex(e)},o.prototype.toJSON=function(){return{mathjs:"AccessorNode",object:this.object,index:this.index}},o.fromJSON=function(e){return new o(e.object,e.index)},o}},function(e,t,r){"use strict";e.exports={end:!0}},function(e,t,o){"use strict";function a(e){return(a="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}var s=o(25).transform,u=o(13).getSafeProperty;t.factory=function(e,t,r,n){var i=r(o(22));return function(e,t){try{if(Array.isArray(e))return i(e,t);if(e&&"function"==typeof e.subset)return e.subset(t);if("string"==typeof e)return i(e,t);if("object"!==a(e))throw new TypeError("Cannot apply index: unsupported type of object");if(!t.isObjectProperty())throw new TypeError("Cannot apply a numeric index as object property");return u(e,t.getObjectProperty())}catch(e){throw s(e)}}}},function(e,t,a){"use strict";var s=a(2).map;t.name="ArrayNode",t.path="expression.node",t.factory=function(r,e,t,n){var i=t(a(16));function o(e){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");if(this.items=e||[],!Array.isArray(this.items)||!this.items.every(r.isNode))throw new TypeError("Array containing Nodes expected");var t=function(){throw new Error("Property `ArrayNode.nodes` is deprecated, use `ArrayNode.items` instead")};Object.defineProperty(this,"nodes",{get:t,set:t})}return(o.prototype=new i).type="ArrayNode",o.prototype.isArrayNode=!0,o.prototype._compile=function(t,r){var e=s(this.items,function(e){return e._compile(t,r)});if("Array"===t.config().matrix)return function(t,r,n){return s(e,function(e){return e(t,r,n)})};var i=t.matrix;return function(t,r,n){return i(s(e,function(e){return e(t,r,n)}))}},o.prototype.forEach=function(e){for(var t=0;t<this.items.length;t++)e(this.items[t],"items["+t+"]",this)},o.prototype.map=function(e){for(var t=[],r=0;r<this.items.length;r++)t[r]=this._ifNode(e(this.items[r],"items["+r+"]",this));return new o(t)},o.prototype.clone=function(){return new o(this.items.slice(0))},o.prototype._toString=function(t){return"["+this.items.map(function(e){return e.toString(t)}).join(", ")+"]"},o.prototype.toJSON=function(){return{mathjs:"ArrayNode",items:this.items}},o.fromJSON=function(e){return new o(e.items)},o.prototype.toHTML=function(t){return'<span class="math-parenthesis math-square-parenthesis">[</span>'+this.items.map(function(e){return e.toHTML(t)}).join('<span class="math-separator">,</span>')+'<span class="math-parenthesis math-square-parenthesis">]</span>'},o.prototype._toTex=function(t){var r="\\begin{bmatrix}";return this.items.forEach(function(e){e.items?r+=e.items.map(function(e){return e.toTex(t)}).join("&"):r+=e.toTex(t),r+="\\\\"}),r+="\\end{bmatrix}"},o}},function(e,t,u){"use strict";var d=u(13).getSafeProperty,y=u(13).setSafeProperty;t.name="AssignmentNode",t.path="expression.node",t.factory=function(n,e,t,r){var i=t(u(16)),m=t(u(203)),h=t(u(114)),o=u(53);function a(e,t,r){if(!(this instanceof a))throw new SyntaxError("Constructor must be called with the new operator");if(this.object=e,this.index=r?t:null,this.value=r||t,!n.isSymbolNode(e)&&!n.isAccessorNode(e))throw new TypeError('SymbolNode or AccessorNode expected as "object"');if(n.isSymbolNode(e)&&"end"===e.name)throw new Error('Cannot assign to symbol "end"');if(this.index&&!n.isIndexNode(this.index))throw new TypeError('IndexNode expected as "index"');if(!n.isNode(this.value))throw new TypeError('Node expected as "value"');Object.defineProperty(this,"name",{get:function(){return this.index?this.index.isObjectProperty()?this.index.getObjectProperty():"":this.object.name||""}.bind(this),set:function(){throw new Error("Cannot assign a new name, name is read-only")}})}function s(e,t){t||(t="keep");var r=o.getPrecedence(e,t),n=o.getPrecedence(e.value,t);return"all"===t||null!==n&&n<=r}return(a.prototype=new i).type="AssignmentNode",a.prototype.isAssignmentNode=!0,a.prototype._compile=function(e,t){var a=this.object._compile(e,t),u=this.index?this.index._compile(e,t):null,c=this.value._compile(e,t),s=this.object.name;if(this.index){if(this.index.isObjectProperty()){var o=this.index.getObjectProperty();return function(e,t,r){var n=a(e,t,r),i=c(e,t,r);return y(n,o,i)}}if(n.isSymbolNode(this.object))return function(e,t,r){var n=a(e,t,r),i=c(e,t,r),o=u(e,t,n);return y(e,s,m(n,o,i)),i};var f=this.object.object._compile(e,t);if(this.object.index.isObjectProperty()){var l=this.object.index.getObjectProperty();return function(e,t,r){var n=f(e,t,r),i=d(n,l),o=u(e,t,i),a=c(e,t,r);return y(n,l,m(i,o,a)),a}}var p=this.object.index._compile(e,t);return function(e,t,r){var n=f(e,t,r),i=p(e,t,n),o=h(n,i),a=u(e,t,o),s=c(e,t,r);return m(n,i,m(o,a,s)),s}}if(!n.isSymbolNode(this.object))throw new TypeError("SymbolNode expected as object");return function(e,t,r){return y(e,s,c(e,t,r))}},a.prototype.forEach=function(e){e(this.object,"object",this),this.index&&e(this.index,"index",this),e(this.value,"value",this)},a.prototype.map=function(e){return new a(this._ifNode(e(this.object,"object",this)),this.index?this._ifNode(e(this.index,"index",this)):null,this._ifNode(e(this.value,"value",this)))},a.prototype.clone=function(){return new a(this.object,this.index,this.value)},a.prototype._toString=function(e){var t=this.object.toString(e),r=this.index?this.index.toString(e):"",n=this.value.toString(e);return s(this,e&&e.parenthesis)&&(n="("+n+")"),t+r+" = "+n},a.prototype.toJSON=function(){return{mathjs:"AssignmentNode",object:this.object,index:this.index,value:this.value}},a.fromJSON=function(e){return new a(e.object,e.index,e.value)},a.prototype.toHTML=function(e){var t=this.object.toHTML(e),r=this.index?this.index.toHTML(e):"",n=this.value.toHTML(e);return s(this,e&&e.parenthesis)&&(n='<span class="math-paranthesis math-round-parenthesis">(</span>'+n+'<span class="math-paranthesis math-round-parenthesis">)</span>'),t+r+'<span class="math-operator math-assignment-operator math-variable-assignment-operator math-binary-operator">=</span>'+n},a.prototype._toTex=function(e){var t=this.object.toTex(e),r=this.index?this.index.toTex(e):"",n=this.value.toTex(e);return s(this,e&&e.parenthesis)&&(n="\\left(".concat(n,"\\right)")),t+r+":="+n},a}},function(e,t,s){"use strict";var u=s(2).forEach,c=s(2).map;t.name="BlockNode",t.path="expression.node",t.factory=function(n,e,t,r){var i=t(s(16)),a=t(s(106));function o(e){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");if(!Array.isArray(e))throw new Error("Array expected");this.blocks=e.map(function(e){var t=e&&e.node,r=!e||void 0===e.visible||e.visible;if(!n.isNode(t))throw new TypeError('Property "node" must be a Node');if("boolean"!=typeof r)throw new TypeError('Property "visible" must be a boolean');return{node:t,visible:r}})}return(o.prototype=new i).type="BlockNode",o.prototype.isBlockNode=!0,o.prototype._compile=function(t,r){var e=c(this.blocks,function(e){return{eval:e.node._compile(t,r),visible:e.visible}});return function(r,n,i){var o=[];return u(e,function(e){var t=e.eval(r,n,i);e.visible&&o.push(t)}),new a(o)}},o.prototype.forEach=function(e){for(var t=0;t<this.blocks.length;t++)e(this.blocks[t].node,"blocks["+t+"].node",this)},o.prototype.map=function(e){for(var t=[],r=0;r<this.blocks.length;r++){var n=this.blocks[r],i=this._ifNode(e(n.node,"blocks["+r+"].node",this));t[r]={node:i,visible:n.visible}}return new o(t)},o.prototype.clone=function(){return new o(this.blocks.map(function(e){return{node:e.node,visible:e.visible}}))},o.prototype._toString=function(t){return this.blocks.map(function(e){return e.node.toString(t)+(e.visible?"":";")}).join("\n")},o.prototype.toJSON=function(){return{mathjs:"BlockNode",blocks:this.blocks}},o.fromJSON=function(e){return new o(e.blocks)},o.prototype.toHTML=function(t){return this.blocks.map(function(e){return e.node.toHTML(t)+(e.visible?"":'<span class="math-separator">;</span>')}).join('<span class="math-separator"><br /></span>')},o.prototype._toTex=function(t){return this.blocks.map(function(e){return e.node.toTex(t)+(e.visible?"":";")}).join("\\;\\;\n")},o}},function(e,t,o){"use strict";var c=o(53);t.name="ConditionalNode",t.path="expression.node",t.factory=function(a,e,t,r){var n=t(o(16)),s=t(o(24));function i(e,t,r){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator");if(!a.isNode(e))throw new TypeError("Parameter condition must be a Node");if(!a.isNode(t))throw new TypeError("Parameter trueExpr must be a Node");if(!a.isNode(r))throw new TypeError("Parameter falseExpr must be a Node");this.condition=e,this.trueExpr=t,this.falseExpr=r}return(i.prototype=new n).type="ConditionalNode",i.prototype.isConditionalNode=!0,i.prototype._compile=function(e,t){var n=this.condition._compile(e,t),i=this.trueExpr._compile(e,t),o=this.falseExpr._compile(e,t);return function(e,t,r){return function(e){if("number"==typeof e||"boolean"==typeof e||"string"==typeof e)return!!e;if(e){if(a.isBigNumber(e))return!e.isZero();if(a.isComplex(e))return!(!e.re&&!e.im);if(a.isUnit(e))return!!e.value}if(null!=e)throw new TypeError('Unsupported type of condition "'+s(e)+'"');return!1}(n(e,t,r))?i(e,t,r):o(e,t,r)}},i.prototype.forEach=function(e){e(this.condition,"condition",this),e(this.trueExpr,"trueExpr",this),e(this.falseExpr,"falseExpr",this)},i.prototype.map=function(e){return new i(this._ifNode(e(this.condition,"condition",this)),this._ifNode(e(this.trueExpr,"trueExpr",this)),this._ifNode(e(this.falseExpr,"falseExpr",this)))},i.prototype.clone=function(){return new i(this.condition,this.trueExpr,this.falseExpr)},i.prototype._toString=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=c.getPrecedence(this,t),n=this.condition.toString(e),i=c.getPrecedence(this.condition,t);("all"===t||"OperatorNode"===this.condition.type||null!==i&&i<=r)&&(n="("+n+")");var o=this.trueExpr.toString(e),a=c.getPrecedence(this.trueExpr,t);("all"===t||"OperatorNode"===this.trueExpr.type||null!==a&&a<=r)&&(o="("+o+")");var s=this.falseExpr.toString(e),u=c.getPrecedence(this.falseExpr,t);return("all"===t||"OperatorNode"===this.falseExpr.type||null!==u&&u<=r)&&(s="("+s+")"),n+" ? "+o+" : "+s},i.prototype.toJSON=function(){return{mathjs:"ConditionalNode",condition:this.condition,trueExpr:this.trueExpr,falseExpr:this.falseExpr}},i.fromJSON=function(e){return new i(e.condition,e.trueExpr,e.falseExpr)},i.prototype.toHTML=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=c.getPrecedence(this,t),n=this.condition.toHTML(e),i=c.getPrecedence(this.condition,t);("all"===t||"OperatorNode"===this.condition.type||null!==i&&i<=r)&&(n='<span class="math-parenthesis math-round-parenthesis">(</span>'+n+'<span class="math-parenthesis math-round-parenthesis">)</span>');var o=this.trueExpr.toHTML(e),a=c.getPrecedence(this.trueExpr,t);("all"===t||"OperatorNode"===this.trueExpr.type||null!==a&&a<=r)&&(o='<span class="math-parenthesis math-round-parenthesis">(</span>'+o+'<span class="math-parenthesis math-round-parenthesis">)</span>');var s=this.falseExpr.toHTML(e),u=c.getPrecedence(this.falseExpr,t);return("all"===t||"OperatorNode"===this.falseExpr.type||null!==u&&u<=r)&&(s='<span class="math-parenthesis math-round-parenthesis">(</span>'+s+'<span class="math-parenthesis math-round-parenthesis">)</span>'),n+'<span class="math-operator math-conditional-operator">?</span>'+o+'<span class="math-operator math-conditional-operator">:</span>'+s},i.prototype._toTex=function(e){return"\\begin{cases} {"+this.trueExpr.toTex(e)+"}, &\\quad{\\text{if }\\;"+this.condition.toTex(e)+"}\\\\{"+this.falseExpr.toTex(e)+"}, &\\quad{\\text{otherwise}}\\end{cases}"},i}},function(e,t,a){"use strict";var s=a(113),u=a(9).escape,l=a(2).forEach,p=a(2).join,c=a(4),m=a(53),h=a(13).setSafeProperty;t.name="FunctionAssignmentNode",t.path="expression.node",t.factory=function(n,e,t,f){var r=t(a(16));function i(e,t,r){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator");if("string"!=typeof e)throw new TypeError('String expected for parameter "name"');if(!Array.isArray(t))throw new TypeError('Array containing strings or objects expected for parameter "params"');if(!n.isNode(r))throw new TypeError('Node expected for parameter "expr"');if(e in s)throw new Error('Illegal function name, "'+e+'" is a reserved keyword');this.name=e,this.params=t.map(function(e){return e&&e.name||e}),this.types=t.map(function(e){return e&&e.type||"any"}),this.expr=r}function o(e,t){var r=m.getPrecedence(e,t),n=m.getPrecedence(e.expr,t);return"all"===t||null!==n&&n<=r}return(i.prototype=new r).type="FunctionAssignmentNode",i.prototype.isFunctionAssignmentNode=!0,i.prototype._compile=function(e,t){var r=Object.create(t);l(this.params,function(e){r[e]=!0});var o=this.expr._compile(e,r),a=this.name,s=this.params,u=p(this.types,","),c=a+"("+p(this.params,", ")+")";return function(r,n,i){var e={};e[u]=function(){for(var e=Object.create(n),t=0;t<s.length;t++)e[s[t]]=arguments[t];return o(r,e,i)};var t=f(a,e);return t.syntax=c,h(r,a,t),t}},i.prototype.forEach=function(e){e(this.expr,"expr",this)},i.prototype.map=function(e){var t=this._ifNode(e(this.expr,"expr",this));return new i(this.name,this.params.slice(0),t)},i.prototype.clone=function(){return new i(this.name,this.params.slice(0),this.expr)},i.prototype._toString=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=this.expr.toString(e);return o(this,t)&&(r="("+r+")"),this.name+"("+this.params.join(", ")+") = "+r},i.prototype.toJSON=function(){var r=this.types;return{mathjs:"FunctionAssignmentNode",name:this.name,params:this.params.map(function(e,t){return{name:e,type:r[t]}}),expr:this.expr}},i.fromJSON=function(e){return new i(e.name,e.params,e.expr)},i.prototype.toHTML=function(e){for(var t=e&&e.parenthesis?e.parenthesis:"keep",r=[],n=0;n<this.params.length;n++)r.push('<span class="math-symbol math-parameter">'+u(this.params[n])+"</span>");var i=this.expr.toHTML(e);return o(this,t)&&(i='<span class="math-parenthesis math-round-parenthesis">(</span>'+i+'<span class="math-parenthesis math-round-parenthesis">)</span>'),'<span class="math-function">'+u(this.name)+'</span><span class="math-parenthesis math-round-parenthesis">(</span>'+r.join('<span class="math-separator">,</span>')+'<span class="math-parenthesis math-round-parenthesis">)</span><span class="math-operator math-assignment-operator math-variable-assignment-operator math-binary-operator">=</span>'+i},i.prototype._toTex=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=this.expr.toTex(e);return o(this,t)&&(r="\\left(".concat(r,"\\right)")),"\\mathrm{"+this.name+"}\\left("+this.params.map(c.toSymbol).join(",")+"\\right):="+r},i}},function(e,t,s){"use strict";var u=s(2).map,c=s(9).escape;t.name="IndexNode",t.path="expression.node",t.factory=function(h,e,t,r){var n=t(s(16)),i=t(s(105)),o=Array.isArray;function a(e,t){if(!(this instanceof a))throw new SyntaxError("Constructor must be called with the new operator");if(this.dimensions=e,this.dotNotation=t||!1,!o(e)||!e.every(h.isNode))throw new TypeError('Array containing Nodes expected for parameter "dimensions"');if(this.dotNotation&&!this.isObjectProperty())throw new Error("dotNotation only applicable for object properties");var r=function(){throw new Error("Property `IndexNode.object` is deprecated, use `IndexNode.fn` instead")};Object.defineProperty(this,"object",{get:r,set:r})}function d(e,t,r){return new i(h.isBigNumber(e)?e.toNumber():e,h.isBigNumber(t)?t.toNumber():t,h.isBigNumber(r)?r.toNumber():r)}return(a.prototype=new n).type="IndexNode",a.prototype.isIndexNode=!0,a.prototype._compile=function(p,m){var i=u(this.dimensions,function(e,o){if(h.isRangeNode(e)){if(e.needsEnd()){var t=Object.create(m);t.end=!0;var a=e.start._compile(p,t),s=e.end._compile(p,t),u=e.step?e.step._compile(p,t):function(){return 1};return function(e,t,r){var n=p.size(r).valueOf(),i=Object.create(t);return i.end=n[o],d(a(e,i,r),s(e,i,r),u(e,i,r))}}var n=e.start._compile(p,m),i=e.end._compile(p,m),c=e.step?e.step._compile(p,m):function(){return 1};return function(e,t,r){return d(n(e,t,r),i(e,t,r),c(e,t,r))}}if(h.isSymbolNode(e)&&"end"===e.name){var r=Object.create(m);r.end=!0;var f=e._compile(p,r);return function(e,t,r){var n=p.size(r).valueOf(),i=Object.create(t);return i.end=n[o],f(e,i,r)}}var l=e._compile(p,m);return function(e,t,r){return l(e,t,r)}});return function(t,r,n){var e=u(i,function(e){return e(t,r,n)});return p.index.apply(p,e)}},a.prototype.forEach=function(e){for(var t=0;t<this.dimensions.length;t++)e(this.dimensions[t],"dimensions["+t+"]",this)},a.prototype.map=function(e){for(var t=[],r=0;r<this.dimensions.length;r++)t[r]=this._ifNode(e(this.dimensions[r],"dimensions["+r+"]",this));return new a(t)},a.prototype.clone=function(){return new a(this.dimensions.slice(0))},a.prototype.isObjectProperty=function(){return 1===this.dimensions.length&&h.isConstantNode(this.dimensions[0])&&"string"==typeof this.dimensions[0].value},a.prototype.getObjectProperty=function(){return this.isObjectProperty()?this.dimensions[0].value:null},a.prototype._toString=function(e){return this.dotNotation?"."+this.getObjectProperty():"["+this.dimensions.join(", ")+"]"},a.prototype.toJSON=function(){return{mathjs:"IndexNode",dimensions:this.dimensions,dotNotation:this.dotNotation}},a.fromJSON=function(e){return new a(e.dimensions,e.dotNotation)},a.prototype.toHTML=function(e){for(var t=[],r=0;r<this.dimensions.length;r++)t[r]=this.dimensions[r].toHTML();return this.dotNotation?'<span class="math-operator math-accessor-operator">.</span><span class="math-symbol math-property">'+c(this.getObjectProperty())+"</span>":'<span class="math-parenthesis math-square-parenthesis">[</span>'+t.join('<span class="math-separator">,</span>')+'<span class="math-parenthesis math-square-parenthesis">]</span>'},a.prototype._toTex=function(t){var e=this.dimensions.map(function(e){return e.toTex(t)});return this.dotNotation?"."+this.getObjectProperty():"_{"+e.join(",")+"}"},a}},function(e,t,a){"use strict";function s(e){return(s="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}var u=a(9).stringify,c=a(9).escape,f=a(13).isSafeProperty,l=a(5).hasOwnProperty;t.name="ObjectNode",t.path="expression.node",t.factory=function(r,e,t,n){var i=t(a(16));function o(t){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");if(this.properties=t||{},t&&("object"!==s(t)||!Object.keys(t).every(function(e){return r.isNode(t[e])})))throw new TypeError("Object containing Nodes expected")}return(o.prototype=new i).type="ObjectNode",o.prototype.isObjectNode=!0,o.prototype._compile=function(e,t){var o={};for(var r in this.properties)if(l(this.properties,r)){var n=u(r),i=JSON.parse(n);if(!f(this.properties,i))throw new Error('No access to property "'+i+'"');o[i]=this.properties[r]._compile(e,t)}return function(e,t,r){var n={};for(var i in o)l(o,i)&&(n[i]=o[i](e,t,r));return n}},o.prototype.forEach=function(e){for(var t in this.properties)this.properties.hasOwnProperty(t)&&e(this.properties[t],"properties["+u(t)+"]",this)},o.prototype.map=function(e){var t={};for(var r in this.properties)this.properties.hasOwnProperty(r)&&(t[r]=this._ifNode(e(this.properties[r],"properties["+u(r)+"]",this)));return new o(t)},o.prototype.clone=function(){var e={};for(var t in this.properties)this.properties.hasOwnProperty(t)&&(e[t]=this.properties[t]);return new o(e)},o.prototype._toString=function(e){var t=[];for(var r in this.properties)this.properties.hasOwnProperty(r)&&t.push(u(r)+": "+this.properties[r].toString(e));return"{"+t.join(", ")+"}"},o.prototype.toJSON=function(){return{mathjs:"ObjectNode",properties:this.properties}},o.fromJSON=function(e){return new o(e.properties)},o.prototype.toHTML=function(e){var t=[];for(var r in this.properties)this.properties.hasOwnProperty(r)&&t.push('<span class="math-symbol math-property">'+c(r)+'</span><span class="math-operator math-assignment-operator math-property-assignment-operator math-binary-operator">:</span>'+this.properties[r].toHTML(e));return'<span class="math-parenthesis math-curly-parenthesis">{</span>'+t.join('<span class="math-separator">,</span>')+'<span class="math-parenthesis math-curly-parenthesis">}</span>'},o.prototype._toTex=function(e){var t=[];for(var r in this.properties)this.properties.hasOwnProperty(r)&&t.push("\\mathbf{"+r+":} & "+this.properties[r].toTex(e)+"\\\\");return"\\left\\{\\begin{array}{ll}".concat(t.join("\n"),"\\end{array}\\right\\}")},o}},function(e,t,s){"use strict";var u=s(53);t.name="RangeNode",t.path="expression.node",t.factory=function(n,e,t,r){var i=t(s(16));function o(e,t,r){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");if(!n.isNode(e))throw new TypeError("Node expected");if(!n.isNode(t))throw new TypeError("Node expected");if(r&&!n.isNode(r))throw new TypeError("Node expected");if(3<arguments.length)throw new Error("Too many arguments");this.start=e,this.end=t,this.step=r||null}function a(e,t){var r=u.getPrecedence(e,t),n={},i=u.getPrecedence(e.start,t);if(n.start=null!==i&&i<=r||"all"===t,e.step){var o=u.getPrecedence(e.step,t);n.step=null!==o&&o<=r||"all"===t}var a=u.getPrecedence(e.end,t);return n.end=null!==a&&a<=r||"all"===t,n}return(o.prototype=new i).type="RangeNode",o.prototype.isRangeNode=!0,o.prototype.needsEnd=function(){return 0<this.filter(function(e){return n.isSymbolNode(e)&&"end"===e.name}).length},o.prototype._compile=function(e,t){var n=e.range,i=this.start._compile(e,t),o=this.end._compile(e,t);if(this.step){var a=this.step._compile(e,t);return function(e,t,r){return n(i(e,t,r),o(e,t,r),a(e,t,r))}}return function(e,t,r){return n(i(e,t,r),o(e,t,r))}},o.prototype.forEach=function(e){e(this.start,"start",this),e(this.end,"end",this),this.step&&e(this.step,"step",this)},o.prototype.map=function(e){return new o(this._ifNode(e(this.start,"start",this)),this._ifNode(e(this.end,"end",this)),this.step&&this._ifNode(e(this.step,"step",this)))},o.prototype.clone=function(){return new o(this.start,this.end,this.step&&this.step)},o.prototype._toString=function(e){var t,r=a(this,e&&e.parenthesis?e.parenthesis:"keep"),n=this.start.toString(e);if(r.start&&(n="("+n+")"),t=n,this.step){var i=this.step.toString(e);r.step&&(i="("+i+")"),t+=":"+i}var o=this.end.toString(e);return r.end&&(o="("+o+")"),t+=":"+o},o.prototype.toJSON=function(){return{mathjs:"RangeNode",start:this.start,end:this.end,step:this.step}},o.fromJSON=function(e){return new o(e.start,e.end,e.step)},o.prototype.toHTML=function(e){var t,r=a(this,e&&e.parenthesis?e.parenthesis:"keep"),n=this.start.toHTML(e);if(r.start&&(n='<span class="math-parenthesis math-round-parenthesis">(</span>'+n+'<span class="math-parenthesis math-round-parenthesis">)</span>'),t=n,this.step){var i=this.step.toHTML(e);r.step&&(i='<span class="math-parenthesis math-round-parenthesis">(</span>'+i+'<span class="math-parenthesis math-round-parenthesis">)</span>'),t+='<span class="math-operator math-range-operator">:</span>'+i}var o=this.end.toHTML(e);return r.end&&(o='<span class="math-parenthesis math-round-parenthesis">(</span>'+o+'<span class="math-parenthesis math-round-parenthesis">)</span>'),t+='<span class="math-operator math-range-operator">:</span>'+o},o.prototype._toTex=function(e){var t=a(this,e&&e.parenthesis?e.parenthesis:"keep"),r=this.start.toTex(e);if(t.start&&(r="\\left(".concat(r,"\\right)")),this.step){var n=this.step.toTex(e);t.step&&(n="\\left(".concat(n,"\\right)")),r+=":"+n}var i=this.end.toTex(e);return t.end&&(i="\\left(".concat(i,"\\right)")),r+=":"+i},o}},function(e,t,a){"use strict";var s=a(53),u=a(4),f=a(9).escape;t.name="RelationalNode",t.path="expression.node",t.factory=function(e,t,r,n){var i=r(a(16)),c=a(13).getSafeProperty;function o(e,t){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");if(!Array.isArray(e))throw new TypeError("Parameter conditionals must be an array");if(!Array.isArray(t))throw new TypeError("Parameter params must be an array");if(e.length!==t.length-1)throw new TypeError("Parameter params must contain exactly one more element than parameter conditionals");this.conditionals=e,this.params=t}return(o.prototype=new i).type="RelationalNode",o.prototype.isRelationalNode=!0,o.prototype._compile=function(a,t){var s=this,u=this.params.map(function(e){return e._compile(a,t)});return function(e,t,r){for(var n,i=u[0](e,t,r),o=0;o<s.conditionals.length;o++)if(n=i,i=u[o+1](e,t,r),!c(a,s.conditionals[o])(n,i))return!1;return!0}},o.prototype.forEach=function(r){var n=this;this.params.forEach(function(e,t){return r(e,"params["+t+"]",n)},this)},o.prototype.map=function(r){var n=this;return new o(this.conditionals.slice(),this.params.map(function(e,t){return n._ifNode(r(e,"params["+t+"]",n))},this))},o.prototype.clone=function(){return new o(this.conditionals,this.params)},o.prototype._toString=function(n){for(var i=n&&n.parenthesis?n.parenthesis:"keep",o=s.getPrecedence(this,i),e=this.params.map(function(e,t){var r=s.getPrecedence(e,i);return"all"===i||null!==r&&r<=o?"("+e.toString(n)+")":e.toString(n)}),t={equal:"==",unequal:"!=",smaller:"<",larger:">",smallerEq:"<=",largerEq:">="},r=e[0],a=0;a<this.conditionals.length;a++)r+=" "+t[this.conditionals[a]]+" "+e[a+1];return r},o.prototype.toJSON=function(){return{mathjs:"RelationalNode",conditionals:this.conditionals,params:this.params}},o.fromJSON=function(e){return new o(e.conditionals,e.params)},o.prototype.toHTML=function(n){for(var i=n&&n.parenthesis?n.parenthesis:"keep",o=s.getPrecedence(this,i),e=this.params.map(function(e,t){var r=s.getPrecedence(e,i);return"all"===i||null!==r&&r<=o?'<span class="math-parenthesis math-round-parenthesis">(</span>'+e.toHTML(n)+'<span class="math-parenthesis math-round-parenthesis">)</span>':e.toHTML(n)}),t={equal:"==",unequal:"!=",smaller:"<",larger:">",smallerEq:"<=",largerEq:">="},r=e[0],a=0;a<this.conditionals.length;a++)r+='<span class="math-operator math-binary-operator math-explicit-binary-operator">'+f(t[this.conditionals[a]])+"</span>"+e[a+1];return r},o.prototype._toTex=function(n){for(var i=n&&n.parenthesis?n.parenthesis:"keep",o=s.getPrecedence(this,i),e=this.params.map(function(e,t){var r=s.getPrecedence(e,i);return"all"===i||null!==r&&r<=o?"\\left("+e.toTex(n)+"\right)":e.toTex(n)}),t=e[0],r=0;r<this.conditionals.length;r++)t+=u.operators[this.conditionals[r]]+e[r+1];return t},o}},function(e,t,u){"use strict";t.math=!0,t.name="simplifyConstant",t.path="algebra.simplify",t.factory=function(p,r,e,t,m){var n=e(u(125)),h=n.isCommutative,d=n.isAssociative,y=n.allChildren,g=n.createMakeNodeFunction,i=m.expression.node.ConstantNode,o=m.expression.node.OperatorNode,v=m.expression.node.FunctionNode;function x(t,r,n){try{return w(m[t].apply(null,r),n)}catch(e){return r=r.map(function(e){return p.isFraction(e)?e.valueOf():e}),w(m[t].apply(null,r),n)}}var b=t({Fraction:function(e){var t,r=e.s*e.n;return t=r<0?new o("-","unaryMinus",[new i(-r)]):new i(r),1!==e.d?new o("/","divide",[t,new i(e.d)]):t},number:function(e){return e<0?s(new i(-e)):new i(e)},BigNumber:function(e){return e<0?s(new i(-e)):new i(e)},Complex:function(e){throw new Error("Cannot convert Complex number to Node")}});function a(e,t){if(t&&!1!==t.exactFractions&&isFinite(e)){var r=m.fraction(e);if(r.valueOf()===e)return r}return e}var w=t({"string, Object":function(e,t){return"BigNumber"===r.number?m.bignumber(e):"Fraction"===r.number?m.fraction(e):a(parseFloat(e),t)},"Fraction, Object":function(e,t){return e},"BigNumber, Object":function(e,t){return e},"number, Object":function(e,t){return a(e,t)},"Complex, Object":function(e,t){return 0!==e.im?e:a(e.re,t)}});function s(e){return new o("-","unaryMinus",[e])}function N(r,e,n,i){return e.reduce(function(e,t){if(p.isNode(e)||p.isNode(t))p.isNode(e)?p.isNode(t)||(t=b(t)):e=b(e);else{try{return x(r,[e,t],i)}catch(e){}e=b(e),t=b(t)}return n([e,t])})}return function(e,t){var r=function t(e,r){switch(e.type){case"SymbolNode":return e;case"ConstantNode":return"number"!=typeof e.value&&isNaN(e.value)?e:w(e.value,r);case"FunctionNode":if(m[e.name]&&m[e.name].rawArgs)return e;var n=["add","multiply"];if(-1===n.indexOf(e.name)){var i=e.args.map(function(e){return t(e,r)});if(!i.some(p.isNode))try{return x(e.name,i,r)}catch(e){}return i=i.map(function(e){return p.isNode(e)?e:b(e)}),new v(e.name,i)}case"OperatorNode":var o,a,s=e.fn.toString(),u=g(e);if(e.isUnary())o=[t(e.args[0],r)],a=p.isNode(o[0])?u(o):x(s,o,r);else if(d(e))if(o=(o=y(e)).map(function(e){return t(e,r)}),h(s)){for(var c=[],f=[],l=0;l<o.length;l++)p.isNode(o[l])?f.push(o[l]):c.push(o[l]);a=1<c.length?(a=N(s,c,u,r),f.unshift(a),N(s,f,u,r)):N(s,o,u,r)}else a=N(s,o,u,r);else o=e.args.map(function(e){return t(e,r)}),a=N(s,o,u,r);return a;case"ParenthesisNode":return t(e.content,r);case"AccessorNode":case"ArrayNode":case"AssignmentNode":case"BlockNode":case"FunctionAssignmentNode":case"IndexNode":case"ObjectNode":case"RangeNode":case"UpdateNode":case"ConditionalNode":default:throw new Error("Unimplemented node type in simplifyConstant: ".concat(e.type))}}(e,t);return p.isNode(r)?r:b(r)}}},function(e,t,r){"use strict";t.factory=function(a,e,t,r,n){var i=n.expression.node.FunctionNode,o=n.expression.node.OperatorNode,s=n.expression.node.SymbolNode,u={add:!0,multiply:!0},c={add:!0,multiply:!0};function f(e,t){if(!a.isOperatorNode(e))return!1;var r=e.fn.toString();return t&&t.hasOwnProperty(r)&&t[r].hasOwnProperty("associative")?t[r].associative:c[r]||!1}function l(e){var i,o=[];return f(e)?(i=e.op,function e(t){for(var r=0;r<t.args.length;r++){var n=t.args[r];a.isOperatorNode(n)&&i===n.op?e(n):o.push(n)}}(e),o):e.args}function p(t){return a.isOperatorNode(t)?function(e){try{return new o(t.op,t.fn,e,t.implicit)}catch(e){return console.error(e),[]}}:function(e){return new i(new s(t.name),e)}}return{createMakeNodeFunction:p,isCommutative:function(e,t){if(!a.isOperatorNode(e))return!0;var r=e.fn.toString();return t&&t.hasOwnProperty(r)&&t[r].hasOwnProperty("commutative")?t[r].commutative:u[r]||!1},isAssociative:f,flatten:function e(t){if(!t.args||0===t.args.length)return t;t.args=l(t);for(var r=0;r<t.args.length;r++)e(t.args[r])},allChildren:l,unflattenr:function e(t){if(t.args&&0!==t.args.length){for(var r=p(t),n=t.args.length,i=0;i<n;i++)e(t.args[i]);if(2<n&&f(t)){for(var o=t.args.pop();0<t.args.length;)o=r([t.args.pop(),o]);t.args=o.args}}},unflattenl:function e(t){if(t.args&&0!==t.args.length){for(var r=p(t),n=t.args.length,i=0;i<n;i++)e(t.args[i]);if(2<n&&f(t)){for(var o=t.args.shift();0<t.args.length;)o=r([o,t.args.shift()]);t.args=o.args}}}}},t.math=!0},function(e,t,i){"use strict";t.math=!0,t.name="simplifyCore",t.path="algebra.simplify",t.factory=function(f,e,t,r,n){var l=t(i(51)),p=t(i(60)),m=t(i(14)),h=t(i(15)),d=t(i(10)),y=t(i(45)),g=t(i(42)),v=n.expression.node.ConstantNode,x=n.expression.node.OperatorNode,b=n.expression.node.FunctionNode,w=n.expression.node.ParenthesisNode,N=new v(0),M=new v(1);return function e(t){if(f.isOperatorNode(t)&&t.isUnary()){var r=e(t.args[0]);if("+"===t.op)return r;if("-"===t.op){if(f.isOperatorNode(r)){if(r.isUnary()&&"-"===r.op)return r.args[0];if(r.isBinary()&&"subtract"===r.fn)return new x("-","subtract",[r.args[1],r.args[0]])}return new x(t.op,t.fn,[r])}}else if(f.isOperatorNode(t)&&t.isBinary()){var n=e(t.args[0]),i=e(t.args[1]);if("+"===t.op){if(f.isConstantNode(n)){if(p(n.value))return i;if(f.isConstantNode(i))return new v(m(n.value,i.value))}return f.isConstantNode(i)&&p(i.value)?n:f.isOperatorNode(i)&&i.isUnary()&&"-"===i.op?new x("-","subtract",[n,i.args[0]]):new x(t.op,t.fn,i?[n,i]:[n])}if("-"===t.op){if(f.isConstantNode(n)&&i){if(f.isConstantNode(i))return new v(h(n.value,i.value));if(p(n.value))return new x("-","unaryMinus",[i])}if("subtract"===t.fn)return f.isConstantNode(i)&&p(i.value)?n:f.isOperatorNode(i)&&i.isUnary()&&"-"===i.op?e(new x("+","add",[n,i.args[0]])):new x(t.op,t.fn,[n,i])}else{if("*"===t.op){if(f.isConstantNode(n)){if(p(n.value))return N;if(l(n.value,1))return i;if(f.isConstantNode(i))return new v(d(n.value,i.value))}if(f.isConstantNode(i)){if(p(i.value))return N;if(l(i.value,1))return n;if(f.isOperatorNode(n)&&n.isBinary()&&n.op===t.op){var o=n.args[0];if(f.isConstantNode(o)){var a=new v(d(o.value,i.value));return new x(t.op,t.fn,[a,n.args[1]],t.implicit)}}return new x(t.op,t.fn,[i,n],t.implicit)}return new x(t.op,t.fn,[n,i],t.implicit)}if("/"===t.op){if(f.isConstantNode(n)){if(p(n.value))return N;if(f.isConstantNode(i)&&(l(i.value,1)||l(i.value,2)||l(i.value,4)))return new v(y(n.value,i.value))}return new x(t.op,t.fn,[n,i])}if("^"===t.op){if(f.isConstantNode(i)){if(p(i.value))return M;if(l(i.value,1))return n;if(f.isConstantNode(n))return new v(g(n.value,i.value));if(f.isOperatorNode(n)&&n.isBinary()&&"^"===n.op){var s=n.args[1];if(f.isConstantNode(s))return new x(t.op,t.fn,[n.args[0],new v(d(s.value,i.value))])}}return new x(t.op,t.fn,[n,i])}}}else{if(f.isParenthesisNode(t)){var u=e(t.content);return f.isParenthesisNode(u)||f.isSymbolNode(u)||f.isConstantNode(u)?u:new w(u)}if(f.isFunctionNode(t)){var c=t.args.map(e).map(function(e){return f.isParenthesisNode(e)?e.content:e});return new b(e(t.fn),c)}}return t}}},function(e,t,a){"use strict";var r=a(31),d=r.object,s=r.string;t.name="det",t.factory=function(n,e,t,r){var i=t(a(1)),l=t(a(15)),p=t(a(10)),m=t(a(39)),h=t(a(86)),o=r("det",{any:function(e){return d.clone(e)},"Array | Matrix":function(e){var t;switch((t=n.isMatrix(e)?e.size():Array.isArray(e)?(e=i(e)).size():[]).length){case 0:return d.clone(e);case 1:if(1===t[0])return d.clone(e.valueOf()[0]);throw new RangeError("Matrix must be square (size: "+s.format(t)+")");case 2:var r=t[0];if(r===t[1])return function(e,t,r){if(1===t)return d.clone(e[0][0]);if(2===t)return l(p(e[0][0],e[1][1]),p(e[1][0],e[0][1]));for(var n=h(e),i=n.U[0][0],o=1;o<t;o++)i=p(i,n.U[o][o]);for(var a=0,s=0,u=[];;){for(;u[s];)s++;if(t<=s)break;for(var c=s,f=0;!u[n.p[c]];)u[n.p[c]]=!0,c=n.p[c],f++;f%2==0&&a++}return a%2==0?i:m(i)}(e.clone().valueOf(),r);throw new RangeError("Matrix must be square (size: "+s.format(t)+")");default:throw new RangeError("Matrix must be two dimensional (size: "+s.format(t)+")")}}});return o.toTex={1:"\\det\\left(${args[0]}\\right)"},o}},function(e,t,o){"use strict";t.name="parse",t.factory=function(e,t,r,n){var i=r(o(44));return n("parse",{"string | Array | Matrix":i,"string | Array | Matrix, Object":i})}},function(e,t,m){"use strict";var h=m(3).nearlyEqual,d=m(32);t.name="unequal",t.factory=function(e,r,t,n){var i=t(m(1)),o=t(m(18)),a=t(m(28)),s=t(m(19)),u=t(m(7)),c=t(m(6)),f=m(4),l=n("unequal",{"any, any":function(e,t){return null===e?null!==t:null===t?null!==e:void 0===e?void 0!==t:void 0===t?void 0!==e:p(e,t)},"SparseMatrix, SparseMatrix":function(e,t){return a(e,t,p)},"SparseMatrix, DenseMatrix":function(e,t){return o(t,e,p,!0)},"DenseMatrix, SparseMatrix":function(e,t){return o(e,t,p,!1)},"DenseMatrix, DenseMatrix":function(e,t){return u(e,t,p)},"Array, Array":function(e,t){return l(i(e),i(t)).valueOf()},"Array, Matrix":function(e,t){return l(i(e),t)},"Matrix, Array":function(e,t){return l(e,i(t))},"SparseMatrix, any":function(e,t){return s(e,t,p,!1)},"DenseMatrix, any":function(e,t){return c(e,t,p,!1)},"any, SparseMatrix":function(e,t){return s(t,e,p,!0)},"any, DenseMatrix":function(e,t){return c(t,e,p,!0)},"Array, any":function(e,t){return c(i(e),t,p,!1).valueOf()},"any, Array":function(e,t){return c(i(t),e,p,!0).valueOf()}}),p=n("_unequal",{"boolean, boolean":function(e,t){return e!==t},"number, number":function(e,t){return!h(e,t,r.epsilon)},"BigNumber, BigNumber":function(e,t){return!d(e,t,r.epsilon)},"Fraction, Fraction":function(e,t){return!e.equals(t)},"Complex, Complex":function(e,t){return!e.equals(t)},"Unit, Unit":function(e,t){if(!e.equalBase(t))throw new Error("Cannot compare units with different base");return l(e.value,t.value)}});return l.toTex={2:"\\left(${args[0]}".concat(f.operators.unequal,"${args[1]}\\right)")},l}},function(e,t,r){"use strict";var o=r(3),a=r(0);t.name="sign",t.factory=function(t,e,r,n){var i=n("sign",{number:o.sign,Complex:function(e){return e.sign()},BigNumber:function(e){return new t.BigNumber(e.cmp(0))},Fraction:function(e){return new t.Fraction(e.s,1)},"Array | Matrix":function(e){return a(e,i,!0)},Unit:function(e){return i(e.value)}});return i.toTex={1:"\\mathrm{${name}}\\left(${args[0]}\\right)"},i}},function(e,t,i){"use strict";var s=i(31).number.isInteger;t.name="slu",t.factory=function(e,t,r,n){var o=r(i(207)),a=r(i(215));return n("slu",{"SparseMatrix, number, number":function(e,t,r){if(!s(t)||t<0||3<t)throw new Error("Symbolic Ordering and Analysis order must be an integer number in the interval [0, 3]");if(r<0||1<r)throw new Error("Partial pivoting threshold must be a number from 0 to 1");var n=o(t,e,!1),i=a(e,n,r);return{L:i.L,U:i.U,p:i.pinv,q:n.q,toString:function(){return"L: "+this.L.toString()+"\nU: "+this.U.toString()+"\np: "+this.p.toString()+(this.q?"\nq: "+this.q.toString():"")+"\n"}}}})}},function(e,t,r){"use strict";t.name="csTdfs",t.path="algebra.sparse",t.factory=function(){return function(e,t,r,n,i,o,a){var s=0;for(r[a]=e;0<=s;){var u=r[a+s],c=r[n+u];-1===c?(s--,o[t++]=u):(r[n+u]=r[i+c],r[a+ ++s]=c)}return t}}},function(e,t,r){"use strict";t.name="csMarked",t.path="algebra.sparse",t.factory=function(){return function(e,t){return e[t]<0}}},function(e,t,i){"use strict";t.name="csMark",t.path="algebra.sparse",t.factory=function(e,t,r){var n=r(i(87));return function(e,t){e[t]=n(e[t])}}},function(e,t,a){"use strict";t.name="lsolve",t.factory=function(e,t,r,n){var i=r(a(1)),v=r(a(12)),x=r(a(21)),b=r(a(15)),w=r(a(11)),N=r(a(89)),M=e.DenseMatrix;function o(e,t){for(var r=(t=N(e,t,!0))._data,n=e._size[0],i=e._size[1],o=[],a=e._data,s=0;s<i;s++){var u=r[s][0]||0,c=void 0;if(w(u,0))c=0;else{var f=a[s][s];if(w(f,0))throw new Error("Linear system cannot be solved since matrix is singular");c=v(u,f);for(var l=s+1;l<n;l++)r[l]=[b(r[l][0]||0,x(c,a[l][s]))]}o[s]=[c]}return new M({data:o,size:[n,1]})}return n("lsolve",{"SparseMatrix, Array | Matrix":function(e,t){return function(e,t){for(var r,n,i=(t=N(e,t,!0))._data,o=e._size[0],a=e._size[1],s=e._values,u=e._index,c=e._ptr,f=[],l=0;l<a;l++){var p=i[l][0]||0;if(w(p,0))f[l]=[0];else{var m=0,h=[],d=[],y=c[l+1];for(n=c[l];n<y;n++)(r=u[n])===l?m=s[n]:l<r&&(h.push(s[n]),d.push(r));if(w(m,0))throw new Error("Linear system cannot be solved since matrix is singular");var g=v(p,m);for(n=0,y=d.length;n<y;n++)r=d[n],i[r]=[b(i[r][0]||0,x(g,h[n]))];f[l]=[g]}}return new M({data:f,size:[o,1]})}(e,t)},"DenseMatrix, Array | Matrix":function(e,t){return o(e,t)},"Array, Array | Matrix":function(e,t){return o(i(e),t).valueOf()}})}},function(e,t,a){"use strict";t.name="usolve",t.factory=function(e,t,r,n){var i=r(a(1)),x=r(a(12)),b=r(a(21)),w=r(a(15)),N=r(a(11)),M=r(a(89)),E=e.DenseMatrix;function o(e,t){for(var r=(t=M(e,t,!0))._data,n=e._size[0],i=e._size[1],o=[],a=e._data,s=i-1;0<=s;s--){var u=r[s][0]||0,c=void 0;if(N(u,0))c=0;else{var f=a[s][s];if(N(f,0))throw new Error("Linear system cannot be solved since matrix is singular");c=x(u,f);for(var l=s-1;0<=l;l--)r[l]=[w(r[l][0]||0,b(c,a[l][s]))]}o[s]=[c]}return new E({data:o,size:[n,1]})}return n("usolve",{"SparseMatrix, Array | Matrix":function(e,t){return function(e,t){for(var r,n,i=(t=M(e,t,!0))._data,o=e._size[0],a=e._size[1],s=e._values,u=e._index,c=e._ptr,f=[],l=a-1;0<=l;l--){var p=i[l][0]||0;if(N(p,0))f[l]=[0];else{var m=0,h=[],d=[],y=c[l],g=c[l+1];for(n=g-1;y<=n;n--)(r=u[n])===l?m=s[n]:r<l&&(h.push(s[n]),d.push(r));if(N(m,0))throw new Error("Linear system cannot be solved since matrix is singular");var v=x(p,m);for(n=0,g=d.length;n<g;n++)r=d[n],i[r]=[w(i[r][0],b(v,h[n]))];f[l]=[v]}}return new E({data:f,size:[o,1]})}(e,t)},"DenseMatrix, Array | Matrix":function(e,t){return o(e,t)},"Array, Array | Matrix":function(e,t){return o(i(e),t).valueOf()}})}},function(e,t,d){"use strict";t.name="dotDivide",t.factory=function(e,t,r,n){var i=r(d(1)),o=r(d(12)),a=d(4),s=r(d(26)),u=r(d(18)),c=r(d(28)),f=r(d(20)),l=r(d(19)),p=r(d(7)),m=r(d(6)),h=n("dotDivide",{"any, any":o,"SparseMatrix, SparseMatrix":function(e,t){return c(e,t,o,!1)},"SparseMatrix, DenseMatrix":function(e,t){return s(t,e,o,!0)},"DenseMatrix, SparseMatrix":function(e,t){return u(e,t,o,!1)},"DenseMatrix, DenseMatrix":function(e,t){return p(e,t,o)},"Array, Array":function(e,t){return h(i(e),i(t)).valueOf()},"Array, Matrix":function(e,t){return h(i(e),t)},"Matrix, Array":function(e,t){return h(e,i(t))},"SparseMatrix, any":function(e,t){return f(e,t,o,!1)},"DenseMatrix, any":function(e,t){return m(e,t,o,!1)},"any, SparseMatrix":function(e,t){return l(t,e,o,!0)},"any, DenseMatrix":function(e,t){return m(t,e,o,!0)},"Array, any":function(e,t){return m(i(e),t,o,!1).valueOf()},"any, Array":function(e,t){return m(i(t),e,o,!0).valueOf()}});return h.toTex={2:"\\left(${args[0]}".concat(a.operators.dotDivide,"${args[1]}\\right)")},h}},function(e,t,n){"use strict";var R=n(8);t.name="algorithm09",t.factory=function(e,t,r,I){var k=r(n(11)),P=e.SparseMatrix;return function(e,t,r){var n=e._values,i=e._index,o=e._ptr,a=e._size,s=e._datatype,u=t._values,c=t._index,f=t._ptr,l=t._size,p=t._datatype;if(a.length!==l.length)throw new R(a.length,l.length);if(a[0]!==l[0]||a[1]!==l[1])throw new RangeError("Dimension mismatch. Matrix A ("+a+") must match Matrix B ("+l+")");var m,h=a[0],d=a[1],y=k,g=0,v=r;"string"==typeof s&&s===p&&(m=s,y=I.find(k,[m,m]),g=I.convert(0,m),v=I.find(r,[m,m]));var x,b,w,N,M,E=n&&u?[]:void 0,A=[],S=[],O=new P({values:E,index:A,ptr:S,size:[h,d],datatype:m}),T=E?[]:void 0,_=[];for(b=0;b<d;b++){S[b]=A.length;var C=b+1;if(T)for(N=f[b],M=f[b+1],w=N;w<M;w++)_[x=c[w]]=C,T[x]=u[w];for(N=o[b],M=o[b+1],w=N;w<M;w++)if(x=i[w],T){var B=_[x]===C?T[x]:g,z=v(n[w],B);y(z,g)||(A.push(x),E.push(z))}else A.push(x)}return S[d]=A.length,O}}},function(e,t,o){"use strict";t.name="stirlingS2",t.factory=function(e,t,r,n){var u=r(o(14)),c=r(o(15)),f=r(o(10)),l=r(o(45)),p=r(o(42)),m=r(o(75)),h=r(o(76)),d=r(o(61)),y=r(o(34)),g=r(o(33)),i=n("stirlingS2",{"number | BigNumber, number | BigNumber":function(e,t){if(!y(e)||d(e)||!y(t)||d(t))throw new TypeError("Non-negative integer value expected in function stirlingS2");if(g(t,e))throw new TypeError("k must be less than or equal to n in function stirlingS2");for(var r=m(t),n=0,i=0;i<=t;i++){var o=p(-1,c(t,i)),a=h(t,i),s=p(i,e);n=u(n,f(f(a,s),o))}return l(n,r)}});return i.toTex={2:"\\mathrm{S}\\left(${args}\\right)"},i}},function(e,t,r){"use strict";var n=r(0),m=r(3).isInteger;var h=[.9999999999999971,57.15623566586292,-59.59796035547549,14.136097974741746,-.4919138160976202,3399464998481189e-20,4652362892704858e-20,-9837447530487956e-20,.0001580887032249125,-.00021026444172410488,.00021743961811521265,-.0001643181065367639,8441822398385275e-20,-26190838401581408e-21,36899182659531625e-22];t.name="gamma",t.factory=function(c,i,e,t){var f=e(r(10)),l=e(r(42)),u=r(94),p=t("gamma",{number:function(e){var t,r;if(m(e))return e<=0?isFinite(e)?1/0:NaN:171<e?1/0:u(1,e-1);if(e<.5)return Math.PI/(Math.sin(Math.PI*e)*p(1-e));if(171.35<=e)return 1/0;if(85<e){var n=e*e,i=n*e,o=i*e,a=o*e;return Math.sqrt(2*Math.PI/e)*Math.pow(e/Math.E,e)*(1+1/(12*e)+1/(288*n)-139/(51840*i)-571/(2488320*o)+163879/(209018880*a)+5246819/(75246796800*a*e))}--e,r=h[0];for(var s=1;s<h.length;++s)r+=h[s]/(e+s);return t=e+4.7421875+.5,Math.sqrt(2*Math.PI)*Math.pow(t,e+.5)*Math.exp(-t)*r},Complex:function(e){var t,r;if(0===e.im)return p(e.re);e=new c.Complex(e.re-1,e.im),r=new c.Complex(h[0],0);for(var n=1;n<h.length;++n){var i=e.re+n,o=i*i+e.im*e.im;0!=o?(r.re+=h[n]*i/o,r.im+=-h[n]*e.im/o):r.re=h[n]<0?-1/0:1/0}t=new c.Complex(e.re+4.7421875+.5,e.im);var a=Math.sqrt(2*Math.PI);e.re+=.5;var s=l(t,e);0===s.im?s.re*=a:(0===s.re||(s.re*=a),s.im*=a);var u=Math.exp(-t.re);return t.re=u*Math.cos(-t.im),t.im=u*Math.sin(-t.im),f(f(s,t),r)},BigNumber:function(e){if(e.isInteger())return e.isNegative()||e.isZero()?new c.BigNumber(1/0):function(e){if(e.isZero())return new c.BigNumber(1);for(var t=i.precision+(0|Math.log(e.toNumber())),r=new(c.BigNumber.clone({precision:t}))(e),n=e.toNumber()-1;1<n;)r=r.times(n),n--;return new c.BigNumber(r.toPrecision(c.BigNumber.precision))}(e.minus(1));if(!e.isFinite())return new c.BigNumber(e.isNegative()?NaN:1/0);throw new Error("Integer BigNumber expected")},"Array | Matrix":function(e){return n(e,p)}});return p.toTex={1:"\\Gamma\\left(${args[0]}\\right)"},p}},function(e,t,a){"use strict";var s=a(0);t.name="not",t.factory=function(e,t,r,n){var i=a(4),o=n("not",{number:function(e){return!e},Complex:function(e){return 0===e.re&&0===e.im},BigNumber:function(e){return e.isZero()||e.isNaN()},Unit:function(e){return null===e.value||o(e.value)},"Array | Matrix":function(e){return s(e,o)}});return o.toTex={1:i.operators.not+"\\left(${args[0]}\\right)"},o}},function(e,t,r){"use strict";var n=r(36).maxArgumentCount;function o(t,i){var o=n(i);return function r(e,n){return Array.isArray(e)?e.map(function(e,t){return r(e,n.concat(t))}):1===o?i(e):2===o?i(e,n):i(e,n,t)}(t,[])}t.name="map",t.factory=function(e,t,r,n){var i=n("map",{"Array, function":o,"Matrix, function":function(e,t){return e.map(t)}});return i.toTex=void 0,i}},function(e,t,v){"use strict";t.name="range",t.factory=function(n,i,e,t){var r=e(v(1)),o=e(v(38)),a=e(v(33)),s=e(v(144)),u=e(v(88)),c=new n.BigNumber(0),f=new n.BigNumber(1),l=t("range",{string:m,"string, boolean":m,"number, number":function(e,t){return p(h(e,t,1))},"number, number, number":function(e,t,r){return p(h(e,t,r))},"number, number, boolean":function(e,t,r){return p(r?d(e,t,1):h(e,t,1))},"number, number, number, boolean":function(e,t,r,n){return p(n?d(e,t,r):h(e,t,r))},"BigNumber, BigNumber":function(e,t){return p(y(e,t,f))},"BigNumber, BigNumber, BigNumber":function(e,t,r){return p(y(e,t,r))},"BigNumber, BigNumber, boolean":function(e,t,r){return p(r?g(e,t,f):y(e,t,f))},"BigNumber, BigNumber, BigNumber, boolean":function(e,t,r,n){return p(n?g(e,t,r):y(e,t,r))}});return l.toTex=void 0,l;function p(e){return"Array"===i.matrix?e:r(e)}function m(e,t){var r=function(e){var t=e.split(":").map(function(e){return Number(e)});if(t.some(function(e){return isNaN(e)}))return null;switch(t.length){case 2:return{start:t[0],end:t[1],step:1};case 3:return{start:t[0],end:t[2],step:t[1]};default:return null}}(e);if(!r)throw new SyntaxError('String "'+e+'" is no valid range');return"BigNumber"===i.number?p((t?g:y)(new n.BigNumber(r.start),new n.BigNumber(r.end),new n.BigNumber(r.step))):p((t?d:h)(r.start,r.end,r.step))}function h(e,t,r){var n=[],i=e;if(0<r)for(;o(i,t);)n.push(i),i+=r;else if(r<0)for(;a(i,t);)n.push(i),i+=r;return n}function d(e,t,r){var n=[],i=e;if(0<r)for(;s(i,t);)n.push(i),i+=r;else if(r<0)for(;u(i,t);)n.push(i),i+=r;return n}function y(e,t,r){var n=[],i=e;if(r.gt(c))for(;o(i,t);)n.push(i),i=i.plus(r);else if(r.lt(c))for(;a(i,t);)n.push(i),i=i.plus(r);return n}function g(e,t,r){var n=[],i=e;if(r.gt(c))for(;s(i,t);)n.push(i),i=i.plus(r);else if(r.lt(c))for(;u(i,t);)n.push(i),i=i.plus(r);return n}}},function(e,t,p){"use strict";var m=p(3).nearlyEqual,h=p(32);t.name="smallerEq",t.factory=function(e,r,t,n){var i=t(p(1)),o=t(p(18)),a=t(p(28)),s=t(p(19)),u=t(p(7)),c=t(p(6)),f=p(4),l=n("smallerEq",{"boolean, boolean":function(e,t){return e<=t},"number, number":function(e,t){return e<=t||m(e,t,r.epsilon)},"BigNumber, BigNumber":function(e,t){return e.lte(t)||h(e,t,r.epsilon)},"Fraction, Fraction":function(e,t){return 1!==e.compare(t)},"Complex, Complex":function(){throw new TypeError("No ordering relation is defined for complex numbers")},"Unit, Unit":function(e,t){if(!e.equalBase(t))throw new Error("Cannot compare units with different base");return l(e.value,t.value)},"SparseMatrix, SparseMatrix":function(e,t){return a(e,t,l)},"SparseMatrix, DenseMatrix":function(e,t){return o(t,e,l,!0)},"DenseMatrix, SparseMatrix":function(e,t){return o(e,t,l,!1)},"DenseMatrix, DenseMatrix":function(e,t){return u(e,t,l)},"Array, Array":function(e,t){return l(i(e),i(t)).valueOf()},"Array, Matrix":function(e,t){return l(i(e),t)},"Matrix, Array":function(e,t){return l(e,i(t))},"SparseMatrix, any":function(e,t){return s(e,t,l,!1)},"DenseMatrix, any":function(e,t){return c(e,t,l,!1)},"any, SparseMatrix":function(e,t){return s(t,e,l,!0)},"any, DenseMatrix":function(e,t){return c(t,e,l,!0)},"Array, any":function(e,t){return c(i(e),t,l,!1).valueOf()},"any, Array":function(e,t){return c(i(t),e,l,!0).valueOf()}});return l.toTex={2:"\\left(${args[0]}".concat(f.operators.smallerEq,"${args[1]}\\right)")},l}},function(e,t,f){"use strict";t.name="compareText",t.factory=function(r,e,t,n){var i=t(f(1)),o=t(f(24)),a=t(f(7)),s=t(f(6)),u=n("compareText",{"any, any":c,"DenseMatrix, DenseMatrix":function(e,t){return a(e,t,c)},"Array, Array":function(e,t){return u(i(e),i(t)).valueOf()},"Array, Matrix":function(e,t){return u(i(e),t)},"Matrix, Array":function(e,t){return u(e,i(t))},"DenseMatrix, any":function(e,t){return s(e,t,c,!1)},"any, DenseMatrix":function(e,t){return s(t,e,c,!0)},"Array, any":function(e,t){return s(i(e),t,c,!1).valueOf()},"any, Array":function(e,t){return s(i(t),e,c,!0).valueOf()}});function c(e,t){if(!r.isString(e))throw new TypeError("Unexpected type of argument in function compareText (expected: string or Array or Matrix, actual: "+o(e)+", index: 0)");if(!r.isString(t))throw new TypeError("Unexpected type of argument in function compareText (expected: string or Array or Matrix, actual: "+o(t)+", index: 1)");return e===t?0:t<e?1:-1}return u.toTex=void 0,u}},function(e,t,i){"use strict";var m=i(2).flatten,h=i(2).identify,d=i(2).generalize;t.name="setDifference",t.factory=function(e,t,r,n){var u=r(i(29)),c=r(i(49)),f=r(i(27)),l=r(i(22)),p=r(i(30));return n("setDifference",{"Array | Matrix, Array | Matrix":function(e,t){var r;if(0===l(f(e),new u(0)))r=[];else{if(0===l(f(t),new u(0)))return m(e.toArray());var n,i=h(m(Array.isArray(e)?e:e.toArray()).sort(p)),o=h(m(Array.isArray(t)?t:t.toArray()).sort(p));r=[];for(var a=0;a<i.length;a++){n=!1;for(var s=0;s<o.length;s++)if(0===p(i[a].value,o[s].value)&&i[a].identifier===o[s].identifier){n=!0;break}n||r.push(i[a])}}return Array.isArray(e)&&Array.isArray(t)?d(r):new c(d(r))}})}},function(e,t,i){"use strict";var p=i(2).flatten,m=i(2).identify,h=i(2).generalize;t.name="setIntersect",t.factory=function(e,t,r,n){var s=r(i(29)),u=r(i(49)),c=r(i(27)),f=r(i(22)),l=r(i(30));return n("setIntersect",{"Array | Matrix, Array | Matrix":function(e,t){var r;if(0===f(c(e),new s(0))||0===f(c(t),new s(0)))r=[];else{var n=m(p(Array.isArray(e)?e:e.toArray()).sort(l)),i=m(p(Array.isArray(t)?t:t.toArray()).sort(l));r=[];for(var o=0;o<n.length;o++)for(var a=0;a<i.length;a++)if(0===l(n[o].value,i[a].value)&&n[o].identifier===i[a].identifier){r.push(n[o]);break}}return Array.isArray(e)&&Array.isArray(t)?h(r):new u(h(r))}})}},function(e,t,c){"use strict";var f=c(2).flatten;t.name="setSymDifference",t.factory=function(e,t,r,n){var i=r(c(29)),o=r(c(77)),a=r(c(27)),s=r(c(22)),u=r(c(146));return n("setSymDifference",{"Array | Matrix, Array | Matrix":function(e,t){if(0===s(a(e),new i(0)))return f(t);if(0===s(a(t),new i(0)))return f(e);var r=f(e),n=f(t);return o(u(r,n),u(n,r))}})}},function(e,t,m){"use strict";var h=m(2).flatten,d=m(62);t.name="median",t.factory=function(e,t,r,n){var i=r(m(17)),o=r(m(12)),s=r(m(55)),u=r(m(96)),c=r(m(40)),a=n("median",{"Array | Matrix":f,"Array | Matrix, number | BigNumber":function(e,t){throw new Error("median(A, dim) is not yet supported")},"...":function(e){if(d(e))throw new TypeError("Scalar values expected in function median");return f(e)}});function f(e){try{var t=(e=h(e.valueOf())).length;if(0===t)throw new Error("Cannot calculate median of an empty array");if(t%2==0){for(var r=t/2-1,n=u(e,1+r),i=e[r],o=0;o<r;++o)0<s(e[o],i)&&(i=e[o]);return p(i,n)}var a=u(e,(t-1)/2);return l(a)}catch(e){throw c(e,"median")}}var l=n({"number | BigNumber | Complex | Unit":function(e){return e}}),p=n({"number | BigNumber | Complex | Unit, number | BigNumber | Complex | Unit":function(e,t){return o(i(e,t),2)}});return a.toTex=void 0,a}},function(e,t,c){"use strict";var f=c(2).size,l=c(47),p=c(79),m=c(62);t.name="mean",t.factory=function(e,t,r,n){var i=r(c(14)),o=r(c(45)),a=r(c(40)),s=n("mean",{"Array | Matrix":u,"Array | Matrix, number | BigNumber":function(e,t){try{var r=p(e,t,i),n=Array.isArray(e)?f(e):e.size();return o(r,n[t])}catch(e){throw a(e,"mean")}},"...":function(e){if(m(e))throw new TypeError("Scalar values expected in function mean");return u(e)}});return s.toTex=void 0,s;function u(e){var r=0,n=0;if(l(e,function(t){try{r=i(r,t),n++}catch(e){throw a(e,"mean",t)}}),0===n)throw new Error("Cannot calculate mean of an empty array");return o(r,n)}}},function(e,t,c){"use strict";var f=c(47),l=c(79),p=c(62);t.name="min",t.factory=function(e,t,r,n){var i=r(c(38)),o=r(c(40)),a=n("min",{"Array | Matrix":u,"Array | Matrix, number | BigNumber":function(e,t){return l(e,t.valueOf(),s)},"...":function(e){if(p(e))throw new TypeError("Scalar values expected in function min");return u(e)}});return a.toTex="\\min\\left(${args}\\right)",a;function s(e,t){try{return i(e,t)?e:t}catch(e){throw o(e,"min",t)}}function u(e){var r;if(f(e,function(t){try{isNaN(t)&&"number"==typeof t?r=NaN:(void 0===r||i(t,r))&&(r=t)}catch(e){throw o(e,"min",t)}}),void 0===r)throw new Error("Cannot calculate min of an empty array");return r}}},function(e,t,u){"use strict";t.name="std",t.factory=function(e,t,r,n){var i=r(u(46)),o=r(u(100)),a=n("std",{"Array | Matrix":s,"Array | Matrix, string":s,"Array | Matrix, number | BigNumber":s,"Array | Matrix, number | BigNumber, string":s,"...":function(e){return s(e)}});return a.toTex=void 0,a;function s(e,t){if(0===e.length)throw new SyntaxError("Function std requires one or more parameters (0 provided)");try{return i(o.apply(null,arguments))}catch(e){throw e instanceof TypeError&&-1!==e.message.indexOf(" var")?new TypeError(e.message.replace(" var"," std")):e}}}},function(e,t,o){t.name="docs",t.path="expression",t.factory=function(e,t,r,n){var i={};return i.bignumber=o(354),i.boolean=o(355),i.complex=o(356),i.createUnit=o(357),i.fraction=o(358),i.index=o(359),i.matrix=o(360),i.number=o(361),i.sparse=o(362),i.splitUnit=o(363),i.string=o(364),i.unit=o(365),i.e=o(154),i.E=o(154),i.false=o(366),i.i=o(367),i[1/0]=o(368),i.LN2=o(369),i.LN10=o(370),i.LOG2E=o(371),i.LOG10E=o(372),i.NaN=o(373),i.null=o(374),i.pi=o(155),i.PI=o(155),i.phi=o(375),i.SQRT1_2=o(376),i.SQRT2=o(377),i.tau=o(378),i.true=o(379),i.version=o(380),i.speedOfLight={description:"Speed of light in vacuum",examples:["speedOfLight"]},i.gravitationConstant={description:"Newtonian constant of gravitation",examples:["gravitationConstant"]},i.planckConstant={description:"Planck constant",examples:["planckConstant"]},i.reducedPlanckConstant={description:"Reduced Planck constant",examples:["reducedPlanckConstant"]},i.magneticConstant={description:"Magnetic constant (vacuum permeability)",examples:["magneticConstant"]},i.electricConstant={description:"Electric constant (vacuum permeability)",examples:["electricConstant"]},i.vacuumImpedance={description:"Characteristic impedance of vacuum",examples:["vacuumImpedance"]},i.coulomb={description:"Coulomb's constant",examples:["coulomb"]},i.elementaryCharge={description:"Elementary charge",examples:["elementaryCharge"]},i.bohrMagneton={description:"Borh magneton",examples:["bohrMagneton"]},i.conductanceQuantum={description:"Conductance quantum",examples:["conductanceQuantum"]},i.inverseConductanceQuantum={description:"Inverse conductance quantum",examples:["inverseConductanceQuantum"]},i.magneticFluxQuantum={description:"Magnetic flux quantum",examples:["magneticFluxQuantum"]},i.nuclearMagneton={description:"Nuclear magneton",examples:["nuclearMagneton"]},i.klitzing={description:"Von Klitzing constant",examples:["klitzing"]},i.bohrRadius={description:"Borh radius",examples:["bohrRadius"]},i.classicalElectronRadius={description:"Classical electron radius",examples:["classicalElectronRadius"]},i.electronMass={description:"Electron mass",examples:["electronMass"]},i.fermiCoupling={description:"Fermi coupling constant",examples:["fermiCoupling"]},i.fineStructure={description:"Fine-structure constant",examples:["fineStructure"]},i.hartreeEnergy={description:"Hartree energy",examples:["hartreeEnergy"]},i.protonMass={description:"Proton mass",examples:["protonMass"]},i.deuteronMass={description:"Deuteron Mass",examples:["deuteronMass"]},i.neutronMass={description:"Neutron mass",examples:["neutronMass"]},i.quantumOfCirculation={description:"Quantum of circulation",examples:["quantumOfCirculation"]},i.rydberg={description:"Rydberg constant",examples:["rydberg"]},i.thomsonCrossSection={description:"Thomson cross section",examples:["thomsonCrossSection"]},i.weakMixingAngle={description:"Weak mixing angle",examples:["weakMixingAngle"]},i.efimovFactor={description:"Efimov factor",examples:["efimovFactor"]},i.atomicMass={description:"Atomic mass constant",examples:["atomicMass"]},i.avogadro={description:"Avogadro's number",examples:["avogadro"]},i.boltzmann={description:"Boltzmann constant",examples:["boltzmann"]},i.faraday={description:"Faraday constant",examples:["faraday"]},i.firstRadiation={description:"First radiation constant",examples:["firstRadiation"]},i.loschmidt={description:"Loschmidt constant at T=273.15 K and p=101.325 kPa",examples:["loschmidt"]},i.gasConstant={description:"Gas constant",examples:["gasConstant"]},i.molarPlanckConstant={description:"Molar Planck constant",examples:["molarPlanckConstant"]},i.molarVolume={description:"Molar volume of an ideal gas at T=273.15 K and p=101.325 kPa",examples:["molarVolume"]},i.sackurTetrode={description:"Sackur-Tetrode constant at T=1 K and p=101.325 kPa",examples:["sackurTetrode"]},i.secondRadiation={description:"Second radiation constant",examples:["secondRadiation"]},i.stefanBoltzmann={description:"Stefan-Boltzmann constant",examples:["stefanBoltzmann"]},i.wienDisplacement={description:"Wien displacement law constant",examples:["wienDisplacement"]},i.molarMass={description:"Molar mass constant",examples:["molarMass"]},i.molarMassC12={description:"Molar mass constant of carbon-12",examples:["molarMassC12"]},i.gravity={description:"Standard acceleration of gravity (standard acceleration of free-fall on Earth)",examples:["gravity"]},i.planckLength={description:"Planck length",examples:["planckLength"]},i.planckMass={description:"Planck mass",examples:["planckMass"]},i.planckTime={description:"Planck time",examples:["planckTime"]},i.planckCharge={description:"Planck charge",examples:["planckCharge"]},i.planckTemperature={description:"Planck temperature",examples:["planckTemperature"]},i.derivative=o(381),i.lsolve=o(382),i.lup=o(383),i.lusolve=o(384),i.simplify=o(385),i.rationalize=o(386),i.slu=o(387),i.usolve=o(388),i.qr=o(389),i.abs=o(390),i.add=o(391),i.cbrt=o(392),i.ceil=o(393),i.cube=o(394),i.divide=o(395),i.dotDivide=o(396),i.dotMultiply=o(397),i.dotPow=o(398),i.exp=o(399),i.expm=o(400),i.expm1=o(401),i.fix=o(402),i.floor=o(403),i.gcd=o(404),i.hypot=o(405),i.lcm=o(406),i.log=o(407),i.log2=o(408),i.log1p=o(409),i.log10=o(410),i.mod=o(411),i.multiply=o(412),i.norm=o(413),i.nthRoot=o(414),i.nthRoots=o(415),i.pow=o(416),i.round=o(417),i.sign=o(418),i.sqrt=o(419),i.sqrtm=o(420),i.square=o(421),i.subtract=o(422),i.unaryMinus=o(423),i.unaryPlus=o(424),i.xgcd=o(425),i.bitAnd=o(426),i.bitNot=o(427),i.bitOr=o(428),i.bitXor=o(429),i.leftShift=o(430),i.rightArithShift=o(431),i.rightLogShift=o(432),i.bellNumbers=o(433),i.catalan=o(434),i.composition=o(435),i.stirlingS2=o(436),i.config=o(437),i.import=o(438),i.typed=o(439),i.arg=o(440),i.conj=o(441),i.re=o(442),i.im=o(443),i.eval=o(444),i.help=o(445),i.distance=o(446),i.intersect=o(447),i.and=o(448),i.not=o(449),i.or=o(450),i.xor=o(451),i.concat=o(452),i.cross=o(453),i.ctranspose=o(454),i.det=o(455),i.diag=o(456),i.dot=o(457),i.getMatrixDataType=o(458),i.identity=o(459),i.filter=o(460),i.flatten=o(461),i.forEach=o(462),i.inv=o(463),i.kron=o(464),i.map=o(465),i.ones=o(466),i.partitionSelect=o(467),i.range=o(468),i.resize=o(469),i.reshape=o(470),i.size=o(471),i.sort=o(472),i.squeeze=o(473),i.subset=o(474),i.trace=o(475),i.transpose=o(476),i.zeros=o(477),i.combinations=o(478),i.factorial=o(479),i.gamma=o(480),i.kldivergence=o(481),i.multinomial=o(482),i.permutations=o(483),i.pickRandom=o(484),i.random=o(485),i.randomInt=o(486),i.compare=o(487),i.compareNatural=o(488),i.compareText=o(489),i.deepEqual=o(490),i.equal=o(491),i.equalText=o(492),i.larger=o(493),i.largerEq=o(494),i.smaller=o(495),i.smallerEq=o(496),i.unequal=o(497),i.setCartesian=o(498),i.setDifference=o(499),i.setDistinct=o(500),i.setIntersect=o(501),i.setIsSubset=o(502),i.setMultiplicity=o(503),i.setPowerset=o(504),i.setSize=o(505),i.setSymDifference=o(506),i.setUnion=o(507),i.erf=o(508),i.mad=o(509),i.max=o(510),i.mean=o(511),i.median=o(512),i.min=o(513),i.mode=o(514),i.prod=o(515),i.quantileSeq=o(516),i.std=o(517),i.sum=o(518),i.var=o(519),i.acos=o(520),i.acosh=o(521),i.acot=o(522),i.acoth=o(523),i.acsc=o(524),i.acsch=o(525),i.asec=o(526),i.asech=o(527),i.asin=o(528),i.asinh=o(529),i.atan=o(530),i.atanh=o(531),i.atan2=o(532),i.cos=o(533),i.cosh=o(534),i.cot=o(535),i.coth=o(536),i.csc=o(537),i.csch=o(538),i.sec=o(539),i.sech=o(540),i.sin=o(541),i.sinh=o(542),i.tan=o(543),i.tanh=o(544),i.to=o(545),i.clone=o(546),i.format=o(547),i.isNaN=o(548),i.isInteger=o(549),i.isNegative=o(550),i.isNumeric=o(551),i.hasNumericValue=o(552),i.isPositive=o(553),i.isPrime=o(554),i.isZero=o(555),i.typeof=o(556),i}},function(e,t){e.exports={name:"e",category:"Constants",syntax:["e"],description:"Euler's number, the base of the natural logarithm. Approximately equal to 2.71828",examples:["e","e ^ 2","exp(2)","log(e)"],seealso:["exp"]}},function(e,t){e.exports={name:"pi",category:"Constants",syntax:["pi"],description:"The number pi is a mathematical constant that is the ratio of a circle's circumference to its diameter, and is approximately equal to 3.14159",examples:["pi","sin(pi/2)"],seealso:["tau"]}},function(e,t,a){"use strict";t.name="parser",t.factory=function(e,t,r,n,i){var o=r(a(157));return n("parser",{"":function(){return new o(i)}})},t.math=!0},function(e,t,s){"use strict";var u=s(5).extend,c=s(13);t.name="Parser",t.path="expression",t.factory=function(e,t,r,n,i){var o=r(s(44));function a(){if(!(this instanceof a))throw new SyntaxError("Constructor must be called with the new operator");this.scope={}}return a.prototype.type="Parser",a.prototype.isParser=!0,a.prototype.parse=function(e){throw new Error("Parser.parse is deprecated. Use math.parse instead.")},a.prototype.compile=function(e){throw new Error("Parser.compile is deprecated. Use math.compile instead.")},a.prototype.eval=function(e){return o(e).compile().eval(this.scope)},a.prototype.get=function(e){return e in this.scope?c.getSafeProperty(this.scope,e):void 0},a.prototype.getAll=function(){return u({},this.scope)},a.prototype.set=function(e,t){return c.setSafeProperty(this.scope,e,t)},a.prototype.remove=function(e){delete this.scope[e]},a.prototype.clear=function(){for(var e in this.scope)this.scope.hasOwnProperty(e)&&delete this.scope[e]},a},t.math=!0},function(Ie,ke,Pe){var Re;!function(e){"use strict";var l,I,a,s=9e15,d=1e9,y="0123456789abcdef",n="2.3025850929940456840179914546843642076011014886287729760333279009675726096773524802359972050895982983419677840422862486334095254650828067566662873690987816894829072083255546808437998948262331985283935053089653777326288461633662222876982198867465436674744042432743651550489343149393914796194044002221051017141748003688084012647080685567743216228355220114804663715659121373450747856947683463616792101806445070648000277502684916746550586856935673420670581136429224554405758925724208241314695689016758940256776311356919292033376587141660230105703089634572075440370847469940168269282808481184289314848524948644871927809676271275775397027668605952496716674183485704422507197965004714951050492214776567636938662976979522110718264549734772662425709429322582798502585509785265383207606726317164309505995087807523710333101197857547331541421808427543863591778117054309827482385045648019095610299291824318237525357709750539565187697510374970888692180205189339507238539205144634197265287286965110862571492198849978748873771345686209167058",i="3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632789",u={precision:20,rounding:4,modulo:1,toExpNeg:-7,toExpPos:21,minE:-s,maxE:s,crypto:!1},x=!0,c="[DecimalError] ",g=c+"Invalid argument: ",o=c+"Precision limit exceeded",f=c+"crypto unavailable",k=Math.floor,v=Math.pow,p=/^0b([01]+(\.[01]*)?|\.[01]+)(p[+-]?\d+)?$/i,m=/^0x([0-9a-f]+(\.[0-9a-f]*)?|\.[0-9a-f]+)(p[+-]?\d+)?$/i,h=/^0o([0-7]+(\.[0-7]*)?|\.[0-7]+)(p[+-]?\d+)?$/i,b=/^(\d+(\.\d*)?|\.\d+)(e[+-]?\d+)?$/i,P=1e7,R=7,w=n.length-1,N=i.length-1,M={name:"[object Decimal]"};function E(e){var t,r,n,i=e.length-1,o="",a=e[0];if(0<i){for(o+=a,t=1;t<i;t++)n=e[t]+"",(r=R-n.length)&&(o+=D(r)),o+=n;a=e[t],(r=R-(n=a+"").length)&&(o+=D(r))}else if(0===a)return"0";for(;a%10==0;)a/=10;return o+a}function A(e,t,r){if(e!==~~e||e<t||r<e)throw Error(g+e)}function S(e,t,r,n){var i,o,a;for(o=e[0];10<=o;o/=10)--t;return--t<0?(t+=R,i=0):(i=Math.ceil((t+1)/R),t%=R),o=v(10,R-t),a=e[i]%o|0,null==n?t<3?(0==t?a=a/100|0:1==t&&(a=a/10|0),r<4&&99999==a||3<r&&49999==a||5e4==a||0==a):(r<4&&a+1==o||3<r&&a+1==o/2)&&(e[i+1]/o/100|0)==v(10,t-2)-1||(a==o/2||0==a)&&0==(e[i+1]/o/100|0):t<4?(0==t?a=a/1e3|0:1==t?a=a/100|0:2==t&&(a=a/10|0),(n||r<4)&&9999==a||!n&&3<r&&4999==a):((n||r<4)&&a+1==o||!n&&3<r&&a+1==o/2)&&(e[i+1]/o/1e3|0)==v(10,t-3)-1}function O(e,t,r){for(var n,i,o=[0],a=0,s=e.length;a<s;){for(i=o.length;i--;)o[i]*=t;for(o[0]+=y.indexOf(e.charAt(a++)),n=0;n<o.length;n++)o[n]>r-1&&(void 0===o[n+1]&&(o[n+1]=0),o[n+1]+=o[n]/r|0,o[n]%=r)}return o.reverse()}M.absoluteValue=M.abs=function(){var e=new this.constructor(this);return e.s<0&&(e.s=1),q(e)},M.ceil=function(){return q(new this.constructor(this),this.e+1,2)},M.comparedTo=M.cmp=function(e){var t,r,n,i,o=this.d,a=(e=new this.constructor(e)).d,s=this.s,u=e.s;if(!o||!a)return s&&u?s!==u?s:o===a?0:!o^s<0?1:-1:NaN;if(!o[0]||!a[0])return o[0]?s:a[0]?-u:0;if(s!==u)return s;if(this.e!==e.e)return this.e>e.e^s<0?1:-1;for(t=0,r=(n=o.length)<(i=a.length)?n:i;t<r;++t)if(o[t]!==a[t])return o[t]>a[t]^s<0?1:-1;return n===i?0:i<n^s<0?1:-1},M.cosine=M.cos=function(){var e,t,r=this,n=r.constructor;return r.d?r.d[0]?(e=n.precision,t=n.rounding,n.precision=e+Math.max(r.e,r.sd())+R,n.rounding=1,r=function(e,t){var r,n,i=t.d.length;n=i<32?(r=Math.ceil(i/3),Math.pow(4,-r).toString()):(r=16,"2.3283064365386962890625e-10");e.precision+=r,t=V(e,1,t.times(n),new e(1));for(var o=r;o--;){var a=t.times(t);t=a.times(a).minus(a).times(8).plus(1)}return e.precision-=r,t}(n,Z(n,r)),n.precision=e,n.rounding=t,q(2==a||3==a?r.neg():r,e,t,!0)):new n(1):new n(NaN)},M.cubeRoot=M.cbrt=function(){var e,t,r,n,i,o,a,s,u,c,f=this,l=f.constructor;if(!f.isFinite()||f.isZero())return new l(f);for(x=!1,(o=f.s*Math.pow(f.s*f,1/3))&&Math.abs(o)!=1/0?n=new l(o.toString()):(r=E(f.d),(o=((e=f.e)-r.length+1)%3)&&(r+=1==o||-2==o?"0":"00"),o=Math.pow(r,1/3),e=k((e+1)/3)-(e%3==(e<0?-1:2)),(n=new l(r=o==1/0?"5e"+e:(r=o.toExponential()).slice(0,r.indexOf("e")+1)+e)).s=f.s),a=(e=l.precision)+3;;)if(c=(u=(s=n).times(s).times(s)).plus(f),n=T(c.plus(f).times(s),c.plus(u),a+2,1),E(s.d).slice(0,a)===(r=E(n.d)).slice(0,a)){if("9999"!=(r=r.slice(a-3,a+1))&&(i||"4999"!=r)){+r&&(+r.slice(1)||"5"!=r.charAt(0))||(q(n,e+1,1),t=!n.times(n).times(n).eq(f));break}if(!i&&(q(s,e+1,0),s.times(s).times(s).eq(f))){n=s;break}a+=4,i=1}return x=!0,q(n,e,l.rounding,t)},M.decimalPlaces=M.dp=function(){var e,t=this.d,r=NaN;if(t){if(r=((e=t.length-1)-k(this.e/R))*R,e=t[e])for(;e%10==0;e/=10)r--;r<0&&(r=0)}return r},M.dividedBy=M.div=function(e){return T(this,new this.constructor(e))},M.dividedToIntegerBy=M.divToInt=function(e){var t=this.constructor;return q(T(this,new t(e),0,1,1),t.precision,t.rounding)},M.equals=M.eq=function(e){return 0===this.cmp(e)},M.floor=function(){return q(new this.constructor(this),this.e+1,3)},M.greaterThan=M.gt=function(e){return 0<this.cmp(e)},M.greaterThanOrEqualTo=M.gte=function(e){var t=this.cmp(e);return 1==t||0===t},M.hyperbolicCosine=M.cosh=function(){var e,t,r,n,i,o=this,a=o.constructor,s=new a(1);if(!o.isFinite())return new a(o.s?1/0:NaN);if(o.isZero())return s;r=a.precision,n=a.rounding,a.precision=r+Math.max(o.e,o.sd())+4,a.rounding=1,t=(i=o.d.length)<32?(e=Math.ceil(i/3),Math.pow(4,-e).toString()):(e=16,"2.3283064365386962890625e-10"),o=V(a,1,o.times(t),new a(1),!0);for(var u,c=e,f=new a(8);c--;)u=o.times(o),o=s.minus(u.times(f.minus(u.times(f))));return q(o,a.precision=r,a.rounding=n,!0)},M.hyperbolicSine=M.sinh=function(){var e,t,r,n,i=this,o=i.constructor;if(!i.isFinite()||i.isZero())return new o(i);if(t=o.precision,r=o.rounding,o.precision=t+Math.max(i.e,i.sd())+4,o.rounding=1,(n=i.d.length)<3)i=V(o,2,i,i,!0);else{e=16<(e=1.4*Math.sqrt(n))?16:0|e,i=V(o,2,i=i.times(Math.pow(5,-e)),i,!0);for(var a,s=new o(5),u=new o(16),c=new o(20);e--;)a=i.times(i),i=i.times(s.plus(a.times(u.times(a).plus(c))))}return q(i,o.precision=t,o.rounding=r,!0)},M.hyperbolicTangent=M.tanh=function(){var e,t,r=this.constructor;return this.isFinite()?this.isZero()?new r(this):(e=r.precision,t=r.rounding,r.precision=e+7,r.rounding=1,T(this.sinh(),this.cosh(),r.precision=e,r.rounding=t)):new r(this.s)},M.inverseCosine=M.acos=function(){var e,t=this,r=t.constructor,n=t.abs().cmp(1),i=r.precision,o=r.rounding;return-1!==n?0===n?t.isNeg()?z(r,i,o):new r(0):new r(NaN):t.isZero()?z(r,i+4,o).times(.5):(r.precision=i+6,r.rounding=1,t=t.asin(),e=z(r,i+4,o).times(.5),r.precision=i,r.rounding=o,e.minus(t))},M.inverseHyperbolicCosine=M.acosh=function(){var e,t,r=this,n=r.constructor;return r.lte(1)?new n(r.eq(1)?0:NaN):r.isFinite()?(e=n.precision,t=n.rounding,n.precision=e+Math.max(Math.abs(r.e),r.sd())+4,n.rounding=1,x=!1,r=r.times(r).minus(1).sqrt().plus(r),x=!0,n.precision=e,n.rounding=t,r.ln()):new n(r)},M.inverseHyperbolicSine=M.asinh=function(){var e,t,r=this,n=r.constructor;return!r.isFinite()||r.isZero()?new n(r):(e=n.precision,t=n.rounding,n.precision=e+2*Math.max(Math.abs(r.e),r.sd())+6,n.rounding=1,x=!1,r=r.times(r).plus(1).sqrt().plus(r),x=!0,n.precision=e,n.rounding=t,r.ln())},M.inverseHyperbolicTangent=M.atanh=function(){var e,t,r,n,i=this,o=i.constructor;return i.isFinite()?0<=i.e?new o(i.abs().eq(1)?i.s/0:i.isZero()?i:NaN):(e=o.precision,t=o.rounding,n=i.sd(),Math.max(n,e)<2*-i.e-1?q(new o(i),e,t,!0):(o.precision=r=n-i.e,i=T(i.plus(1),new o(1).minus(i),r+e,1),o.precision=e+4,o.rounding=1,i=i.ln(),o.precision=e,o.rounding=t,i.times(.5))):new o(NaN)},M.inverseSine=M.asin=function(){var e,t,r,n,i=this,o=i.constructor;return i.isZero()?new o(i):(t=i.abs().cmp(1),r=o.precision,n=o.rounding,-1!==t?0===t?((e=z(o,r+4,n).times(.5)).s=i.s,e):new o(NaN):(o.precision=r+6,o.rounding=1,i=i.div(new o(1).minus(i.times(i)).sqrt().plus(1)).atan(),o.precision=r,o.rounding=n,i.times(2)))},M.inverseTangent=M.atan=function(){var e,t,r,n,i,o,a,s,u,c=this,f=c.constructor,l=f.precision,p=f.rounding;if(c.isFinite()){if(c.isZero())return new f(c);if(c.abs().eq(1)&&l+4<=N)return(a=z(f,l+4,p).times(.25)).s=c.s,a}else{if(!c.s)return new f(NaN);if(l+4<=N)return(a=z(f,l+4,p).times(.5)).s=c.s,a}for(f.precision=s=l+10,f.rounding=1,e=r=Math.min(28,s/R+2|0);e;--e)c=c.div(c.times(c).plus(1).sqrt().plus(1));for(x=!1,t=Math.ceil(s/R),n=1,u=c.times(c),a=new f(c),i=c;-1!==e;)if(i=i.times(u),o=a.minus(i.div(n+=2)),i=i.times(u),void 0!==(a=o.plus(i.div(n+=2))).d[t])for(e=t;a.d[e]===o.d[e]&&e--;);return r&&(a=a.times(2<<r-1)),x=!0,q(a,f.precision=l,f.rounding=p,!0)},M.isFinite=function(){return!!this.d},M.isInteger=M.isInt=function(){return!!this.d&&k(this.e/R)>this.d.length-2},M.isNaN=function(){return!this.s},M.isNegative=M.isNeg=function(){return this.s<0},M.isPositive=M.isPos=function(){return 0<this.s},M.isZero=function(){return!!this.d&&0===this.d[0]},M.lessThan=M.lt=function(e){return this.cmp(e)<0},M.lessThanOrEqualTo=M.lte=function(e){return this.cmp(e)<1},M.logarithm=M.log=function(e){var t,r,n,i,o,a,s,u,c=this.constructor,f=c.precision,l=c.rounding;if(null==e)e=new c(10),t=!0;else{if(r=(e=new c(e)).d,e.s<0||!r||!r[0]||e.eq(1))return new c(NaN);t=e.eq(10)}if(r=this.d,this.s<0||!r||!r[0]||this.eq(1))return new c(r&&!r[0]?-1/0:1!=this.s?NaN:r?0:1/0);if(t)if(1<r.length)o=!0;else{for(i=r[0];i%10==0;)i/=10;o=1!==i}if(x=!1,a=H(this,s=f+5),n=t?B(c,s+10):H(e,s),S((u=T(a,n,s,1)).d,i=f,l))do{if(a=H(this,s+=10),n=t?B(c,s+10):H(e,s),u=T(a,n,s,1),!o){+E(u.d).slice(i+1,i+15)+1==1e14&&(u=q(u,f+1,0));break}}while(S(u.d,i+=10,l));return x=!0,q(u,f,l)},M.minus=M.sub=function(e){var t,r,n,i,o,a,s,u,c,f,l,p,m=this,h=m.constructor;if(e=new h(e),!m.d||!e.d)return m.s&&e.s?m.d?e.s=-e.s:e=new h(e.d||m.s!==e.s?m:NaN):e=new h(NaN),e;if(m.s!=e.s)return e.s=-e.s,m.plus(e);if(c=m.d,p=e.d,s=h.precision,u=h.rounding,!c[0]||!p[0]){if(p[0])e.s=-e.s;else{if(!c[0])return new h(3===u?-0:0);e=new h(m)}return x?q(e,s,u):e}if(r=k(e.e/R),f=k(m.e/R),c=c.slice(),o=f-r){for(a=(l=o<0)?(t=c,o=-o,p.length):(t=p,r=f,c.length),(n=Math.max(Math.ceil(s/R),a)+2)<o&&(o=n,t.length=1),t.reverse(),n=o;n--;)t.push(0);t.reverse()}else{for((l=(n=c.length)<(a=p.length))&&(a=n),n=0;n<a;n++)if(c[n]!=p[n]){l=c[n]<p[n];break}o=0}for(l&&(t=c,c=p,p=t,e.s=-e.s),a=c.length,n=p.length-a;0<n;--n)c[a++]=0;for(n=p.length;o<n;){if(c[--n]<p[n]){for(i=n;i&&0===c[--i];)c[i]=P-1;--c[i],c[n]+=P}c[n]-=p[n]}for(;0===c[--a];)c.pop();for(;0===c[0];c.shift())--r;return c[0]?(e.d=c,e.e=C(c,r),x?q(e,s,u):e):new h(3===u?-0:0)},M.modulo=M.mod=function(e){var t,r=this.constructor;return e=new r(e),!this.d||!e.s||e.d&&!e.d[0]?new r(NaN):!e.d||this.d&&!this.d[0]?q(new r(this),r.precision,r.rounding):(x=!1,9==r.modulo?(t=T(this,e.abs(),0,3,1)).s*=e.s:t=T(this,e,0,r.modulo,1),t=t.times(e),x=!0,this.minus(t))},M.naturalExponential=M.exp=function(){return L(this)},M.naturalLogarithm=M.ln=function(){return H(this)},M.negated=M.neg=function(){var e=new this.constructor(this);return e.s=-e.s,q(e)},M.plus=M.add=function(e){var t,r,n,i,o,a,s,u,c,f,l=this,p=l.constructor;if(e=new p(e),!l.d||!e.d)return l.s&&e.s?l.d||(e=new p(e.d||l.s===e.s?l:NaN)):e=new p(NaN),e;if(l.s!=e.s)return e.s=-e.s,l.minus(e);if(c=l.d,f=e.d,s=p.precision,u=p.rounding,!c[0]||!f[0])return f[0]||(e=new p(l)),x?q(e,s,u):e;if(o=k(l.e/R),n=k(e.e/R),c=c.slice(),i=o-n){for((a=(a=i<0?(r=c,i=-i,f.length):(r=f,n=o,c.length))<(o=Math.ceil(s/R))?o+1:a+1)<i&&(i=a,r.length=1),r.reverse();i--;)r.push(0);r.reverse()}for((a=c.length)-(i=f.length)<0&&(i=a,r=f,f=c,c=r),t=0;i;)t=(c[--i]=c[i]+f[i]+t)/P|0,c[i]%=P;for(t&&(c.unshift(t),++n),a=c.length;0==c[--a];)c.pop();return e.d=c,e.e=C(c,n),x?q(e,s,u):e},M.precision=M.sd=function(e){var t;if(void 0!==e&&e!==!!e&&1!==e&&0!==e)throw Error(g+e);return this.d?(t=U(this.d),e&&this.e+1>t&&(t=this.e+1)):t=NaN,t},M.round=function(){var e=this.constructor;return q(new e(this),this.e+1,e.rounding)},M.sine=M.sin=function(){var e,t,r=this,n=r.constructor;return r.isFinite()?r.isZero()?new n(r):(e=n.precision,t=n.rounding,n.precision=e+Math.max(r.e,r.sd())+R,n.rounding=1,r=function(e,t){var r,n=t.d.length;if(n<3)return V(e,2,t,t);r=16<(r=1.4*Math.sqrt(n))?16:0|r,t=t.times(Math.pow(5,-r)),t=V(e,2,t,t);for(var i,o=new e(5),a=new e(16),s=new e(20);r--;)i=t.times(t),t=t.times(o.plus(i.times(a.times(i).minus(s))));return t}(n,Z(n,r)),n.precision=e,n.rounding=t,q(2<a?r.neg():r,e,t,!0)):new n(NaN)},M.squareRoot=M.sqrt=function(){var e,t,r,n,i,o,a=this.d,s=this.e,u=this.s,c=this.constructor;if(1!==u||!a||!a[0])return new c(!u||u<0&&(!a||a[0])?NaN:a?this:1/0);for(x=!1,n=0==(u=Math.sqrt(+this))||u==1/0?(((t=E(a)).length+s)%2==0&&(t+="0"),u=Math.sqrt(t),s=k((s+1)/2)-(s<0||s%2),new c(t=u==1/0?"1e"+s:(t=u.toExponential()).slice(0,t.indexOf("e")+1)+s)):new c(u.toString()),r=(s=c.precision)+3;;)if(n=(o=n).plus(T(this,o,r+2,1)).times(.5),E(o.d).slice(0,r)===(t=E(n.d)).slice(0,r)){if("9999"!=(t=t.slice(r-3,r+1))&&(i||"4999"!=t)){+t&&(+t.slice(1)||"5"!=t.charAt(0))||(q(n,s+1,1),e=!n.times(n).eq(this));break}if(!i&&(q(o,s+1,0),o.times(o).eq(this))){n=o;break}r+=4,i=1}return x=!0,q(n,s,c.rounding,e)},M.tangent=M.tan=function(){var e,t,r=this,n=r.constructor;return r.isFinite()?r.isZero()?new n(r):(e=n.precision,t=n.rounding,n.precision=e+10,n.rounding=1,(r=r.sin()).s=1,r=T(r,new n(1).minus(r.times(r)).sqrt(),e+10,0),n.precision=e,n.rounding=t,q(2==a||4==a?r.neg():r,e,t,!0)):new n(NaN)},M.times=M.mul=function(e){var t,r,n,i,o,a,s,u,c,f=this.constructor,l=this.d,p=(e=new f(e)).d;if(e.s*=this.s,!(l&&l[0]&&p&&p[0]))return new f(!e.s||l&&!l[0]&&!p||p&&!p[0]&&!l?NaN:l&&p?0*e.s:e.s/0);for(r=k(this.e/R)+k(e.e/R),(u=l.length)<(c=p.length)&&(o=l,l=p,p=o,a=u,u=c,c=a),o=[],n=a=u+c;n--;)o.push(0);for(n=c;0<=--n;){for(t=0,i=u+n;n<i;)s=o[i]+p[n]*l[i-n-1]+t,o[i--]=s%P|0,t=s/P|0;o[i]=(o[i]+t)%P|0}for(;!o[--a];)o.pop();return t?++r:o.shift(),e.d=o,e.e=C(o,r),x?q(e,f.precision,f.rounding):e},M.toBinary=function(e,t){return r(this,2,e,t)},M.toDecimalPlaces=M.toDP=function(e,t){var r=this,n=r.constructor;return r=new n(r),void 0===e?r:(A(e,0,d),void 0===t?t=n.rounding:A(t,0,8),q(r,e+r.e+1,t))},M.toExponential=function(e,t){var r,n=this,i=n.constructor;return r=void 0===e?_(n,!0):(A(e,0,d),void 0===t?t=i.rounding:A(t,0,8),_(n=q(new i(n),e+1,t),!0,e+1)),n.isNeg()&&!n.isZero()?"-"+r:r},M.toFixed=function(e,t){var r,n,i=this.constructor;return r=void 0===e?_(this):(A(e,0,d),void 0===t?t=i.rounding:A(t,0,8),_(n=q(new i(this),e+this.e+1,t),!1,e+n.e+1)),this.isNeg()&&!this.isZero()?"-"+r:r},M.toFraction=function(e){var t,r,n,i,o,a,s,u,c,f,l,p,m=this.d,h=this.constructor;if(!m)return new h(this);if(c=r=new h(1),a=(o=(t=new h(n=u=new h(0))).e=U(m)-this.e-1)%R,t.d[0]=v(10,a<0?R+a:a),null==e)e=0<o?t:c;else{if(!(s=new h(e)).isInt()||s.lt(c))throw Error(g+s);e=s.gt(t)?0<o?t:c:s}for(x=!1,s=new h(E(m)),f=h.precision,h.precision=o=m.length*R*2;l=T(s,t,0,1,1),1!=(i=r.plus(l.times(n))).cmp(e);)r=n,n=i,i=c,c=u.plus(l.times(i)),u=i,i=t,t=s.minus(l.times(i)),s=i;return i=T(e.minus(r),n,0,1,1),u=u.plus(i.times(c)),r=r.plus(i.times(n)),u.s=c.s=this.s,p=T(c,n,o,1).minus(this).abs().cmp(T(u,r,o,1).minus(this).abs())<1?[c,n]:[u,r],h.precision=f,x=!0,p},M.toHexadecimal=M.toHex=function(e,t){return r(this,16,e,t)},M.toNearest=function(e,t){var r=this,n=r.constructor;if(r=new n(r),null==e){if(!r.d)return r;e=new n(1),t=n.rounding}else{if(e=new n(e),void 0===t?t=n.rounding:A(t,0,8),!r.d)return e.s?r:e;if(!e.d)return e.s&&(e.s=r.s),e}return e.d[0]?(x=!1,r=T(r,e,0,t,1).times(e),x=!0,q(r)):(e.s=r.s,r=e),r},M.toNumber=function(){return+this},M.toOctal=function(e,t){return r(this,8,e,t)},M.toPower=M.pow=function(e){var t,r,n,i,o,a,s=this,u=s.constructor,c=+(e=new u(e));if(!(s.d&&e.d&&s.d[0]&&e.d[0]))return new u(v(+s,c));if((s=new u(s)).eq(1))return s;if(n=u.precision,o=u.rounding,e.eq(1))return q(s,n,o);if((t=k(e.e/R))>=e.d.length-1&&(r=c<0?-c:c)<=9007199254740991)return i=j(u,s,r,n),e.s<0?new u(1).div(i):q(i,n,o);if((a=s.s)<0){if(t<e.d.length-1)return new u(NaN);if(0==(1&e.d[t])&&(a=1),0==s.e&&1==s.d[0]&&1==s.d.length)return s.s=a,s}return(t=0!=(r=v(+s,c))&&isFinite(r)?new u(r+"").e:k(c*(Math.log("0."+E(s.d))/Math.LN10+s.e+1)))>u.maxE+1||t<u.minE-1?new u(0<t?a/0:0):(x=!1,u.rounding=s.s=1,r=Math.min(12,(t+"").length),(i=L(e.times(H(s,n+r)),n)).d&&S((i=q(i,n+5,1)).d,n,o)&&(t=n+10,+E((i=q(L(e.times(H(s,t+r)),t),t+5,1)).d).slice(n+1,n+15)+1==1e14&&(i=q(i,n+1,0))),i.s=a,x=!0,q(i,n,u.rounding=o))},M.toPrecision=function(e,t){var r,n=this,i=n.constructor;return r=void 0===e?_(n,n.e<=i.toExpNeg||n.e>=i.toExpPos):(A(e,1,d),void 0===t?t=i.rounding:A(t,0,8),_(n=q(new i(n),e,t),e<=n.e||n.e<=i.toExpNeg,e)),n.isNeg()&&!n.isZero()?"-"+r:r},M.toSignificantDigits=M.toSD=function(e,t){var r=this.constructor;return void 0===e?(e=r.precision,t=r.rounding):(A(e,1,d),void 0===t?t=r.rounding:A(t,0,8)),q(new r(this),e,t)},M.toString=function(){var e=this.constructor,t=_(this,this.e<=e.toExpNeg||this.e>=e.toExpPos);return this.isNeg()&&!this.isZero()?"-"+t:t},M.truncated=M.trunc=function(){return q(new this.constructor(this),this.e+1,1)},M.valueOf=M.toJSON=function(){var e=this.constructor,t=_(this,this.e<=e.toExpNeg||this.e>=e.toExpPos);return this.isNeg()?"-"+t:t};var T=function(){function C(e,t,r){var n,i=0,o=e.length;for(e=e.slice();o--;)n=e[o]*t+i,e[o]=n%r|0,i=n/r|0;return i&&e.unshift(i),e}function B(e,t,r,n){var i,o;if(r!=n)o=n<r?1:-1;else for(i=o=0;i<r;i++)if(e[i]!=t[i]){o=e[i]>t[i]?1:-1;break}return o}function z(e,t,r,n){for(var i=0;r--;)e[r]-=i,i=e[r]<t[r]?1:0,e[r]=i*n+e[r]-t[r];for(;!e[0]&&1<e.length;)e.shift()}return function(e,t,r,n,i,o){var a,s,u,c,f,l,p,m,h,d,y,g,v,x,b,w,N,M,E,A,S=e.constructor,O=e.s==t.s?1:-1,T=e.d,_=t.d;if(!(T&&T[0]&&_&&_[0]))return new S(e.s&&t.s&&(T?!_||T[0]!=_[0]:_)?T&&0==T[0]||!_?0*O:O/0:NaN);for(s=o?(f=1,e.e-t.e):(o=P,f=R,k(e.e/f)-k(t.e/f)),E=_.length,N=T.length,d=(h=new S(O)).d=[],u=0;_[u]==(T[u]||0);u++);if(_[u]>(T[u]||0)&&s--,null==r?(x=r=S.precision,n=S.rounding):x=i?r+(e.e-t.e)+1:r,x<0)d.push(1),l=!0;else{if(x=x/f+2|0,u=0,1==E){for(_=_[c=0],x++;(u<N||c)&&x--;u++)b=c*o+(T[u]||0),d[u]=b/_|0,c=b%_|0;l=c||u<N}else{for(1<(c=o/(_[0]+1)|0)&&(_=C(_,c,o),T=C(T,c,o),E=_.length,N=T.length),w=E,g=(y=T.slice(0,E)).length;g<E;)y[g++]=0;for((A=_.slice()).unshift(0),M=_[0],_[1]>=o/2&&++M;c=0,(a=B(_,y,E,g))<0?(v=y[0],E!=g&&(v=v*o+(y[1]||0)),1<(c=v/M|0)?(o<=c&&(c=o-1),1==(a=B(p=C(_,c,o),y,m=p.length,g=y.length))&&(c--,z(p,E<m?A:_,m,o))):(0==c&&(a=c=1),p=_.slice()),(m=p.length)<g&&p.unshift(0),z(y,p,g,o),-1==a&&(a=B(_,y,E,g=y.length))<1&&(c++,z(y,E<g?A:_,g,o)),g=y.length):0===a&&(c++,y=[0]),d[u++]=c,a&&y[0]?y[g++]=T[w]||0:(y=[T[w]],g=1),(w++<N||void 0!==y[0])&&x--;);l=void 0!==y[0]}d[0]||d.shift()}if(1==f)h.e=s,I=l;else{for(u=1,c=d[0];10<=c;c/=10)u++;h.e=u+s*f-1,q(h,i?r+h.e+1:r,n,l)}return h}}();function q(e,t,r,n){var i,o,a,s,u,c,f,l,p,m=e.constructor;e:if(null!=t){if(!(l=e.d))return e;for(i=1,s=l[0];10<=s;s/=10)i++;if((o=t-i)<0)o+=R,a=t,u=(f=l[p=0])/v(10,i-a-1)%10|0;else if(p=Math.ceil((o+1)/R),(s=l.length)<=p){if(!n)break e;for(;s++<=p;)l.push(0);f=u=0,a=(o%=R)-R+(i=1)}else{for(f=s=l[p],i=1;10<=s;s/=10)i++;u=(a=(o%=R)-R+i)<0?0:f/v(10,i-a-1)%10|0}if(n=n||t<0||void 0!==l[p+1]||(a<0?f:f%v(10,i-a-1)),c=r<4?(u||n)&&(0==r||r==(e.s<0?3:2)):5<u||5==u&&(4==r||n||6==r&&(0<o?0<a?f/v(10,i-a):0:l[p-1])%10&1||r==(e.s<0?8:7)),t<1||!l[0])return l.length=0,c?(t-=e.e+1,l[0]=v(10,(R-t%R)%R),e.e=-t||0):l[0]=e.e=0,e;if(0==o?(l.length=p,s=1,p--):(l.length=p+1,s=v(10,R-o),l[p]=0<a?(f/v(10,i-a)%v(10,a)|0)*s:0),c)for(;;){if(0==p){for(o=1,a=l[0];10<=a;a/=10)o++;for(a=l[0]+=s,s=1;10<=a;a/=10)s++;o!=s&&(e.e++,l[0]==P&&(l[0]=1));break}if(l[p]+=s,l[p]!=P)break;l[p--]=0,s=1}for(o=l.length;0===l[--o];)l.pop()}return x&&(e.e>m.maxE?(e.d=null,e.e=NaN):e.e<m.minE&&(e.e=0,e.d=[0])),e}function _(e,t,r){if(!e.isFinite())return $(e);var n,i=e.e,o=E(e.d),a=o.length;return t?(r&&0<(n=r-a)?o=o.charAt(0)+"."+o.slice(1)+D(n):1<a&&(o=o.charAt(0)+"."+o.slice(1)),o=o+(e.e<0?"e":"e+")+e.e):i<0?(o="0."+D(-i-1)+o,r&&0<(n=r-a)&&(o+=D(n))):a<=i?(o+=D(i+1-a),r&&0<(n=r-i-1)&&(o=o+"."+D(n))):((n=i+1)<a&&(o=o.slice(0,n)+"."+o.slice(n)),r&&0<(n=r-a)&&(i+1===a&&(o+="."),o+=D(n))),o}function C(e,t){var r=e[0];for(t*=R;10<=r;r/=10)t++;return t}function B(e,t,r){if(w<t)throw x=!0,r&&(e.precision=r),Error(o);return q(new e(n),t,1,!0)}function z(e,t,r){if(N<t)throw Error(o);return q(new e(i),t,r,!0)}function U(e){var t=e.length-1,r=t*R+1;if(t=e[t]){for(;t%10==0;t/=10)r--;for(t=e[0];10<=t;t/=10)r++}return r}function D(e){for(var t="";e--;)t+="0";return t}function j(e,t,r,n){var i,o=new e(1),a=Math.ceil(n/R+4);for(x=!1;;){if(r%2&&Y((o=o.times(t)).d,a)&&(i=!0),0===(r=k(r/2))){r=o.d.length-1,i&&0===o.d[r]&&++o.d[r];break}Y((t=t.times(t)).d,a)}return x=!0,o}function F(e){return 1&e.d[e.d.length-1]}function t(e,t,r){for(var n,i=new e(t[0]),o=0;++o<t.length;){if(!(n=new e(t[o])).s){i=n;break}i[r](n)&&(i=n)}return i}function L(e,t){var r,n,i,o,a,s,u,c=0,f=0,l=0,p=e.constructor,m=p.rounding,h=p.precision;if(!e.d||!e.d[0]||17<e.e)return new p(e.d?e.d[0]?e.s<0?0:1/0:1:e.s?e.s<0?0:e:NaN);for(u=null==t?(x=!1,h):t,s=new p(.03125);-2<e.e;)e=e.times(s),l+=5;for(u+=n=Math.log(v(2,l))/Math.LN10*2+5|0,r=o=a=new p(1),p.precision=u;;){if(o=q(o.times(e),u,1),r=r.times(++f),E((s=a.plus(T(o,r,u,1))).d).slice(0,u)===E(a.d).slice(0,u)){for(i=l;i--;)a=q(a.times(a),u,1);if(null!=t)return p.precision=h,a;if(!(c<3&&S(a.d,u-n,m,c)))return q(a,p.precision=h,m,x=!0);p.precision=u+=10,r=o=s=new p(1),f=0,c++}a=s}}function H(e,t){var r,n,i,o,a,s,u,c,f,l,p,m=1,h=e,d=h.d,y=h.constructor,g=y.rounding,v=y.precision;if(h.s<0||!d||!d[0]||!h.e&&1==d[0]&&1==d.length)return new y(d&&!d[0]?-1/0:1!=h.s?NaN:d?0:h);if(f=null==t?(x=!1,v):t,y.precision=f+=10,n=(r=E(d)).charAt(0),!(Math.abs(o=h.e)<15e14))return c=B(y,f+2,v).times(o+""),h=H(new y(n+"."+r.slice(1)),f-10).plus(c),y.precision=v,null==t?q(h,v,g,x=!0):h;for(;n<7&&1!=n||1==n&&3<r.charAt(1);)n=(r=E((h=h.times(e)).d)).charAt(0),m++;for(o=h.e,1<n?(h=new y("0."+r),o++):h=new y(n+"."+r.slice(1)),u=a=h=T((l=h).minus(1),h.plus(1),f,1),p=q(h.times(h),f,1),i=3;;){if(a=q(a.times(p),f,1),E((c=u.plus(T(a,new y(i),f,1))).d).slice(0,f)===E(u.d).slice(0,f)){if(u=u.times(2),0!==o&&(u=u.plus(B(y,f+2,v).times(o+""))),u=T(u,new y(m),f,1),null!=t)return y.precision=v,u;if(!S(u.d,f-10,g,s))return q(u,y.precision=v,g,x=!0);y.precision=f+=10,c=a=h=T(l.minus(1),l.plus(1),f,1),p=q(h.times(h),f,1),i=s=1}u=c,i+=2}}function $(e){return String(e.s*e.s/0)}function G(e,t){var r,n,i;for(-1<(r=t.indexOf("."))&&(t=t.replace(".","")),0<(n=t.search(/e/i))?(r<0&&(r=n),r+=+t.slice(n+1),t=t.substring(0,n)):r<0&&(r=t.length),n=0;48===t.charCodeAt(n);n++);for(i=t.length;48===t.charCodeAt(i-1);--i);if(t=t.slice(n,i)){if(i-=n,e.e=r=r-n-1,e.d=[],n=(r+1)%R,r<0&&(n+=R),n<i){for(n&&e.d.push(+t.slice(0,n)),i-=R;n<i;)e.d.push(+t.slice(n,n+=R));t=t.slice(n),n=R-t.length}else n-=i;for(;n--;)t+="0";e.d.push(+t),x&&(e.e>e.constructor.maxE?(e.d=null,e.e=NaN):e.e<e.constructor.minE&&(e.e=0,e.d=[0]))}else e.e=0,e.d=[0];return e}function V(e,t,r,n,i){var o,a,s,u,c=e.precision,f=Math.ceil(c/R);for(x=!1,u=r.times(r),s=new e(n);;){if(a=T(s.times(u),new e(t++*t++),c,1),s=i?n.plus(a):n.minus(a),n=T(a.times(u),new e(t++*t++),c,1),void 0!==(a=s.plus(n)).d[f]){for(o=f;a.d[o]===s.d[o]&&o--;);if(-1==o)break}o=s,s=n,n=a,a=o,0}return x=!0,a.d.length=f+1,a}function Z(e,t){var r,n=t.s<0,i=z(e,e.precision,1),o=i.times(.5);if((t=t.abs()).lte(o))return a=n?4:1,t;if((r=t.divToInt(i)).isZero())a=n?3:2;else{if((t=t.minus(r.times(i))).lte(o))return a=F(r)?n?2:3:n?4:1,t;a=F(r)?n?1:4:n?3:2}return t.minus(i).abs()}function r(e,t,r,n){var i,o,a,s,u,c,f,l,p,m=e.constructor,h=void 0!==r;if(h?(A(r,1,d),void 0===n?n=m.rounding:A(n,0,8)):(r=m.precision,n=m.rounding),e.isFinite()){for(h?(i=2,16==t?r=4*r-3:8==t&&(r=3*r-2)):i=t,0<=(a=(f=_(e)).indexOf("."))&&(f=f.replace(".",""),(p=new m(1)).e=f.length-a,p.d=O(_(p),10,i),p.e=p.d.length),o=u=(l=O(f,10,i)).length;0==l[--u];)l.pop();if(l[0]){if(a<0?o--:((e=new m(e)).d=l,e.e=o,l=(e=T(e,p,r,n,0,i)).d,o=e.e,c=I),a=l[r],s=i/2,c=c||void 0!==l[r+1],c=n<4?(void 0!==a||c)&&(0===n||n===(e.s<0?3:2)):s<a||a===s&&(4===n||c||6===n&&1&l[r-1]||n===(e.s<0?8:7)),l.length=r,c)for(;++l[--r]>i-1;)l[r]=0,r||(++o,l.unshift(1));for(u=l.length;!l[u-1];--u);for(a=0,f="";a<u;a++)f+=y.charAt(l[a]);if(h){if(1<u)if(16==t||8==t){for(a=16==t?4:3,--u;u%a;u++)f+="0";for(u=(l=O(f,i,t)).length;!l[u-1];--u);for(a=1,f="1.";a<u;a++)f+=y.charAt(l[a])}else f=f.charAt(0)+"."+f.slice(1);f=f+(o<0?"p":"p+")+o}else if(o<0){for(;++o;)f="0"+f;f="0."+f}else if(++o>u)for(o-=u;o--;)f+="0";else o<u&&(f=f.slice(0,o)+"."+f.slice(o))}else f=h?"0p+0":"0";f=(16==t?"0x":2==t?"0b":8==t?"0o":"")+f}else f=$(e);return e.s<0?"-"+f:f}function Y(e,t){if(e.length>t)return e.length=t,!0}function J(e){return new this(e).abs()}function W(e){return new this(e).acos()}function X(e){return new this(e).acosh()}function Q(e,t){return new this(e).plus(t)}function K(e){return new this(e).asin()}function ee(e){return new this(e).asinh()}function te(e){return new this(e).atan()}function re(e){return new this(e).atanh()}function ne(e,t){e=new this(e),t=new this(t);var r,n=this.precision,i=this.rounding,o=n+4;return e.s&&t.s?e.d||t.d?!t.d||e.isZero()?(r=t.s<0?z(this,n,i):new this(0)).s=e.s:!e.d||t.isZero()?(r=z(this,o,1).times(.5)).s=e.s:r=t.s<0?(this.precision=o,this.rounding=1,r=this.atan(T(e,t,o,1)),t=z(this,o,1),this.precision=n,this.rounding=i,e.s<0?r.minus(t):r.plus(t)):this.atan(T(e,t,o,1)):(r=z(this,o,1).times(0<t.s?.25:.75)).s=e.s:r=new this(NaN),r}function ie(e){return new this(e).cbrt()}function oe(e){return q(e=new this(e),e.e+1,2)}function ae(e){if(!e||"object"!=typeof e)throw Error(c+"Object expected");var t,r,n,i=!0===e.defaults,o=["precision",1,d,"rounding",0,8,"toExpNeg",-s,0,"toExpPos",0,s,"maxE",0,s,"minE",-s,0,"modulo",0,9];for(t=0;t<o.length;t+=3)if(r=o[t],i&&(this[r]=u[r]),void 0!==(n=e[r])){if(!(k(n)===n&&o[t+1]<=n&&n<=o[t+2]))throw Error(g+r+": "+n);this[r]=n}if(r="crypto",i&&(this[r]=u[r]),void 0!==(n=e[r])){if(!0!==n&&!1!==n&&0!==n&&1!==n)throw Error(g+r+": "+n);if(n){if("undefined"==typeof crypto||!crypto||!crypto.getRandomValues&&!crypto.randomBytes)throw Error(f);this[r]=!0}else this[r]=!1}return this}function se(e){return new this(e).cos()}function ue(e){return new this(e).cosh()}function ce(e,t){return new this(e).div(t)}function fe(e){return new this(e).exp()}function le(e){return q(e=new this(e),e.e+1,3)}function pe(){var e,t,r=new this(0);for(x=!1,e=0;e<arguments.length;)if((t=new this(arguments[e++])).d)r.d&&(r=r.plus(t.times(t)));else{if(t.s)return x=!0,new this(1/0);r=t}return x=!0,r.sqrt()}function me(e){return e instanceof l||e&&"[object Decimal]"===e.name||!1}function he(e){return new this(e).ln()}function de(e,t){return new this(e).log(t)}function ye(e){return new this(e).log(2)}function ge(e){return new this(e).log(10)}function ve(){return t(this,arguments,"lt")}function xe(){return t(this,arguments,"gt")}function be(e,t){return new this(e).mod(t)}function we(e,t){return new this(e).mul(t)}function Ne(e,t){return new this(e).pow(t)}function Me(e){var t,r,n,i,o=0,a=new this(1),s=[];if(void 0===e?e=this.precision:A(e,1,d),n=Math.ceil(e/R),this.crypto)if(crypto.getRandomValues)for(t=crypto.getRandomValues(new Uint32Array(n));o<n;)429e7<=(i=t[o])?t[o]=crypto.getRandomValues(new Uint32Array(1))[0]:s[o++]=i%1e7;else{if(!crypto.randomBytes)throw Error(f);for(t=crypto.randomBytes(n*=4);o<n;)214e7<=(i=t[o]+(t[o+1]<<8)+(t[o+2]<<16)+((127&t[o+3])<<24))?crypto.randomBytes(4).copy(t,o):(s.push(i%1e7),o+=4);o=n/4}else for(;o<n;)s[o++]=1e7*Math.random()|0;for(n=s[--o],e%=R,n&&e&&(i=v(10,R-e),s[o]=(n/i|0)*i);0===s[o];o--)s.pop();if(o<0)s=[r=0];else{for(r=-1;0===s[0];r-=R)s.shift();for(n=1,i=s[0];10<=i;i/=10)n++;n<R&&(r-=R-n)}return a.e=r,a.d=s,a}function Ee(e){return q(e=new this(e),e.e+1,this.rounding)}function Ae(e){return(e=new this(e)).d?e.d[0]?e.s:0*e.s:e.s||NaN}function Se(e){return new this(e).sin()}function Oe(e){return new this(e).sinh()}function Te(e){return new this(e).sqrt()}function _e(e,t){return new this(e).sub(t)}function Ce(e){return new this(e).tan()}function Be(e){return new this(e).tanh()}function ze(e){return q(e=new this(e),e.e+1,1)}(l=function e(t){var r,n,i;function o(e){var t,r,n,i=this;if(!(i instanceof o))return new o(e);if(e instanceof(i.constructor=o))return i.s=e.s,void(x?!e.d||e.e>o.maxE?(i.e=NaN,i.d=null):e.e<o.minE?(i.e=0,i.d=[0]):(i.e=e.e,i.d=e.d.slice()):(i.e=e.e,i.d=e.d?e.d.slice():e.d));if("number"==(n=typeof e)){if(0===e)return i.s=1/e<0?-1:1,i.e=0,void(i.d=[0]);if(i.s=e<0?(e=-e,-1):1,e===~~e&&e<1e7){for(t=0,r=e;10<=r;r/=10)t++;return void(x?o.maxE<t?(i.e=NaN,i.d=null):t<o.minE?(i.e=0,i.d=[0]):(i.e=t,i.d=[e]):(i.e=t,i.d=[e]))}return 0*e!=0?(e||(i.s=NaN),i.e=NaN,void(i.d=null)):G(i,e.toString())}if("string"!=n)throw Error(g+e);return 45===e.charCodeAt(0)?(e=e.slice(1),i.s=-1):i.s=1,b.test(e)?G(i,e):function(e,t){var r,n,i,o,a,s,u,c,f;if("Infinity"===t||"NaN"===t)return+t||(e.s=NaN),e.e=NaN,e.d=null,e;if(m.test(t))r=16,t=t.toLowerCase();else if(p.test(t))r=2;else{if(!h.test(t))throw Error(g+t);r=8}for(a=0<=(o=(t=0<(o=t.search(/p/i))?(u=+t.slice(o+1),t.substring(2,o)):t.slice(2)).indexOf(".")),n=e.constructor,a&&(o=(s=(t=t.replace(".","")).length)-o,i=j(n,new n(r),o,2*o)),o=f=(c=O(t,r,P)).length-1;0===c[o];--o)c.pop();return o<0?new n(0*e.s):(e.e=C(c,f),e.d=c,x=!1,a&&(e=T(e,i,4*s)),u&&(e=e.times(Math.abs(u)<54?Math.pow(2,u):l.pow(2,u))),x=!0,e)}(i,e)}if(o.prototype=M,o.ROUND_UP=0,o.ROUND_DOWN=1,o.ROUND_CEIL=2,o.ROUND_FLOOR=3,o.ROUND_HALF_UP=4,o.ROUND_HALF_DOWN=5,o.ROUND_HALF_EVEN=6,o.ROUND_HALF_CEIL=7,o.ROUND_HALF_FLOOR=8,o.EUCLID=9,o.config=o.set=ae,o.clone=e,o.isDecimal=me,o.abs=J,o.acos=W,o.acosh=X,o.add=Q,o.asin=K,o.asinh=ee,o.atan=te,o.atanh=re,o.atan2=ne,o.cbrt=ie,o.ceil=oe,o.cos=se,o.cosh=ue,o.div=ce,o.exp=fe,o.floor=le,o.hypot=pe,o.ln=he,o.log=de,o.log10=ge,o.log2=ye,o.max=ve,o.min=xe,o.mod=be,o.mul=we,o.pow=Ne,o.random=Me,o.round=Ee,o.sign=Ae,o.sin=Se,o.sinh=Oe,o.sqrt=Te,o.sub=_e,o.tan=Ce,o.tanh=Be,o.trunc=ze,void 0===t&&(t={}),t&&!0!==t.defaults)for(i=["precision","rounding","toExpNeg","toExpPos","maxE","minE","modulo","crypto"],r=0;r<i.length;)t.hasOwnProperty(n=i[r++])||(t[n]=this[n]);return o.config(t),o}(u)).default=l.Decimal=l,n=new l(n),i=new l(i),void 0===(Re=function(){return l}.call(ke,Pe,ke,Ie))||(Ie.exports=Re)}()},function(e,t,n){"use strict";var i=n(160);e.exports=function e(t){var r=i.create(t);return r.create=e,r.import(n(166)),r}()},function(e,t,r){"use strict";r(161);var u=r(5).isFactory,c=r(102),f=r(103),l=r(164),p=r(165);t.create=function(e){if("function"!=typeof Object.create)throw new Error("ES5 not supported by this JavaScript engine. Please load the es5-shim and es5-sham library for compatibility.");var n=[],i=[],o=f.mixin({});o.type={},o.expression={transform:{},mathWithTransform:{}},o.typed=c.create(o.type);var a={epsilon:1e-12,matrix:"Matrix",number:"number",precision:64,predictable:!1,randomSeed:null};function s(e){if(!u(e))throw new Error("Factory object with properties `type`, `name`, and `factory` expected");var t,r=n.indexOf(e);return-1===r?(t=!0===e.math?e.factory(o.type,a,s,o.typed,o):e.factory(o.type,a,s,o.typed),n.push(e),i.push(t)):t=i[r],t}return o.import=s(l),o.config=s(p),o.expression.mathWithTransform.config=o.config,e&&o.config(e),o}},function(e,t){Number.isFinite=Number.isFinite||function(e){return"number"==typeof e&&isFinite(e)},Number.isNaN=Number.isNaN||function(e){return e!=e}},function(e,t,r){"use strict";var n,i,o;i=[],void 0===(o="function"==typeof(n=function(){function P(){return!0}function re(){return!1}function ne(){}return function e(){var t=[{name:"number",test:function(e){return"number"==typeof e}},{name:"string",test:function(e){return"string"==typeof e}},{name:"boolean",test:function(e){return"boolean"==typeof e}},{name:"Function",test:function(e){return"function"==typeof e}},{name:"Array",test:Array.isArray},{name:"Date",test:function(e){return e instanceof Date}},{name:"RegExp",test:function(e){return e instanceof RegExp}},{name:"Object",test:function(e){return"object"==typeof e&&e.constructor===Object}},{name:"null",test:function(e){return null===e}},{name:"undefined",test:function(e){return void 0===e}}],n={name:"any",test:P},r=[],i=[],F={types:t,conversions:i,ignore:r};function u(t){var e=ee(F.types,function(e){return e.name===t});if(e)return e;if("any"===t)return n;var r=ee(F.types,function(e){return e.name.toLowerCase()===t.toLowerCase()});throw new TypeError('Unknown type "'+t+'"'+(r?'. Did you mean "'+r.name+'"?':""))}function c(e){return e===n?999:F.types.indexOf(e)}function p(t){var e=ee(F.types,function(e){return e.test(t)});if(e)return e.name;throw new TypeError("Value has unknown type. Value: "+t)}function o(e,t){if(!e.signatures)throw new TypeError("Function is no typed-function");var r;if("string"==typeof t){r=t.split(",");for(var n=0;n<r.length;n++)r[n]=r[n].trim()}else{if(!Array.isArray(t))throw new TypeError("String array or a comma separated string expected");r=t}var i=r.join(","),o=e.signatures[i];if(o)return o;throw new TypeError("Signature not found (signature: "+(e.name||"unnamed")+"("+r.join(", ")+"))")}function a(e,t){var r=p(e);if(t===r)return e;for(var n=0;n<F.conversions.length;n++){var i=F.conversions[n];if(i.from===r&&i.to===t)return i.convert(e)}throw new Error("Cannot convert from "+r+" to "+t)}function L(e){return e.map(function(e){var t=e.types.map(h);return(e.restParam?"...":"")+t.join("|")}).join(",")}function s(e,r){var t=0===e.indexOf("..."),n=t?3<e.length?e.slice(3):"any":e,i=n.split("|").map(E).filter(A).filter(M),o=b(r,i),a=i.map(function(e){var t=u(e);return{name:e,typeIndex:c(t),test:t.test,conversion:null,conversionIndex:-1}}),s=o.map(function(e){var t=u(e.from);return{name:e.from,typeIndex:c(t),test:t.test,conversion:e,conversionIndex:r.indexOf(e)}});return{types:a.concat(s),restParam:t}}function H(e,t,i){var r=[];return""!==e.trim()&&(r=e.split(",").map(E).map(function(e,t,r){var n=s(e,i);if(n.restParam&&t!==r.length-1)throw new SyntaxError('Unexpected rest parameter "'+e+'": only allowed for the last parameter');return n})),r.some(S)?null:{params:r,fn:t}}function $(e){var t=T(e);return!!t&&t.restParam}function f(e){return e.types.some(function(e){return null!=e.conversion})}function G(e){if(e&&0!==e.types.length){if(1===e.types.length)return u(e.types[0].name).test;if(2===e.types.length){var t=u(e.types[0].name).test,r=u(e.types[1].name).test;return function(e){return t(e)||r(e)}}var n=e.types.map(function(e){return u(e.name).test});return function(e){for(var t=0;t<n.length;t++)if(n[t](e))return!0;return!1}}return P}function V(e){var r,t,n;if($(e)){var i=(r=O(e).map(G)).length,o=G(T(e)),a=function(e){for(var t=i;t<e.length;t++)if(!o(e[t]))return!1;return!0};return function(e){for(var t=0;t<r.length;t++)if(!r[t](e[t]))return!1;return a(e)&&e.length>=i+1}}return 0===e.length?function(e){return 0===e.length}:1===e.length?(t=G(e[0]),function(e){return t(e[0])&&1===e.length}):2===e.length?(t=G(e[0]),n=G(e[1]),function(e){return t(e[0])&&n(e[1])&&2===e.length}):(r=e.map(G),function(e){for(var t=0;t<r.length;t++)if(!r[t](e[t]))return!1;return e.length===r.length})}function m(e,t){return t<e.params.length?e.params[t]:$(e.params)?T(e.params):null}function l(e,t,r){var n=m(e,t),i=n?r?n.types.filter(d):n.types:[];return i.map(h)}function h(e){return e.name}function d(e){return null===e.conversion||void 0===e.conversion}function y(e,t){var r=z(te(e,function(e){return l(e,t,!1)}));return-1!==r.indexOf("any")?["any"]:r}function Z(e,r,t){var n,i,o,a=e||"unnamed",s=t;for(o=0;o<r.length;o++){var u=s.filter(function(e){var t=G(m(e,o));return(o<e.params.length||$(e.params))&&t(r[o])});if(0===u.length){if(0<(i=y(s,o)).length){var c=p(r[o]);return(n=new TypeError("Unexpected type of argument in function "+a+" (expected: "+i.join(" or ")+", actual: "+c+", index: "+o+")")).data={category:"wrongType",fn:a,index:o,actual:c,expected:i},n}}else s=u}var f=s.map(function(e){return $(e.params)?1/0:e.params.length});if(r.length<Math.min.apply(null,f))return i=y(s,o),(n=new TypeError("Too few arguments in function "+a+" (expected: "+i.join(" or ")+", index: "+r.length+")")).data={category:"tooFewArgs",fn:a,index:r.length,expected:i},n;var l=Math.max.apply(null,f);return r.length>l?(n=new TypeError("Too many arguments in function "+a+" (expected: "+l+", actual: "+r.length+")")).data={category:"tooManyArgs",fn:a,index:r.length,expectedLength:l}:(n=new TypeError('Arguments of type "'+r.join(", ")+'" do not match any of the defined signatures of function '+a+".")).data={category:"mismatch",actual:r.map(p)},n}function g(e){for(var t=999,r=0;r<e.types.length;r++)d(e.types[r])&&(t=Math.min(t,e.types[r].typeIndex));return t}function v(e){for(var t=999,r=0;r<e.types.length;r++)d(e.types[r])||(t=Math.min(t,e.types[r].conversionIndex));return t}function x(e,t){var r;return 0!=(r=e.restParam-t.restParam)?r:0!=(r=f(e)-f(t))?r:0!=(r=g(e)-g(t))?r:v(e)-v(t)}function Y(e,t){var r,n,i=Math.min(e.params.length,t.params.length);if(0!=(n=e.params.some(f)-t.params.some(f)))return n;for(r=0;r<i;r++)if(0!=(n=f(e.params[r])-f(t.params[r])))return n;for(r=0;r<i;r++)if(0!==(n=x(e.params[r],t.params[r])))return n;return e.params.length-t.params.length}function b(e,t){var r={};return e.forEach(function(e){-1!==t.indexOf(e.from)||-1===t.indexOf(e.to)||r[e.from]||(r[e.from]=e)}),Object.keys(r).map(function(e){return r[e]})}function J(e,n){var t=n;if(e.some(f)){var i=$(e),o=e.map(w);t=function(){for(var e=[],t=i?arguments.length-1:arguments.length,r=0;r<t;r++)e[r]=o[r](arguments[r]);return i&&(e[t]=arguments[t].map(o[t])),n.apply(null,e)}}var r=t;if($(e)){var a=e.length-1;r=function(){return t.apply(null,_(arguments,0,a).concat([_(arguments,a)]))}}return r}function w(e){var t,r,n,i,o=[],a=[];switch(e.types.forEach(function(e){e.conversion&&(o.push(u(e.conversion.from).test),a.push(e.conversion.convert))}),a.length){case 0:return function(e){return e};case 1:return t=o[0],n=a[0],function(e){return t(e)?n(e):e};case 2:return t=o[0],r=o[1],n=a[0],i=a[1],function(e){return t(e)?n(e):r(e)?i(e):e};default:return function(e){for(var t=0;t<a.length;t++)if(o[t](e))return a[t](e);return e}}}function W(e){var r={};return e.forEach(function(t){t.params.some(f)||X(t.params,!0).forEach(function(e){r[L(e)]=t.fn})}),r}function X(e,u){function c(r,t,n){if(t<r.length){var e,i=r[t],o=u?i.types.filter(d):i.types;if(i.restParam){var a=o.filter(d);e=a.length<o.length?[a,o]:[o]}else e=o.map(function(e){return[e]});return te(e,function(e){return c(r,t+1,n.concat([e]))})}var s=n.map(function(e,t){return{types:e,restParam:t===r.length-1&&$(r)}});return[s]}return c(e,0,[])}function Q(e,t){for(var r=Math.max(e.params.length,t.params.length),n=0;n<r;n++){var i=l(e,n,!0),o=l(t,n,!0);if(!B(i,o))return!1}var a=e.params.length,s=t.params.length,u=$(e.params),c=$(t.params);return u?c?a===s:a<=s:c?s<=a:a===s}function N(t,r){if(0===Object.keys(r).length)throw new SyntaxError("No signatures provided");var n=[];Object.keys(r).map(function(e){return H(e,r[e],F.conversions)}).filter(K).forEach(function(t){var e=ee(n,function(e){return Q(e,t)});if(e)throw new TypeError('Conflicting signatures "'+L(e.params)+'" and "'+L(t.params)+'".');n.push(t)});var i=te(n,function(t){var e=t?X(t.params,!1):[];return e.map(function(e){return{params:e,fn:t.fn}})}).filter(K);i.sort(Y);var e=i[0]&&i[0].params.length<=2&&!$(i[0].params),o=i[1]&&i[1].params.length<=2&&!$(i[1].params),a=i[2]&&i[2].params.length<=2&&!$(i[2].params),s=i[3]&&i[3].params.length<=2&&!$(i[3].params),u=i[4]&&i[4].params.length<=2&&!$(i[4].params),c=i[5]&&i[5].params.length<=2&&!$(i[5].params),f=e&&o&&a&&s&&u&&c,l=i.map(function(e){return V(e.params)}),p=e?G(i[0].params[0]):re,m=o?G(i[1].params[0]):re,h=a?G(i[2].params[0]):re,d=s?G(i[3].params[0]):re,y=u?G(i[4].params[0]):re,g=c?G(i[5].params[0]):re,v=e?G(i[0].params[1]):re,x=o?G(i[1].params[1]):re,b=a?G(i[2].params[1]):re,w=s?G(i[3].params[1]):re,N=u?G(i[4].params[1]):re,M=c?G(i[5].params[1]):re,E=i.map(function(e){return J(e.params,e.fn)}),A=e?E[0]:ne,S=o?E[1]:ne,O=a?E[2]:ne,T=s?E[3]:ne,_=u?E[4]:ne,C=c?E[5]:ne,B=e?i[0].params.length:-1,z=o?i[1].params.length:-1,I=a?i[2].params.length:-1,k=s?i[3].params.length:-1,P=u?i[4].params.length:-1,R=c?i[5].params.length:-1,q=f?6:0,U=i.length,D=function(){for(var e=q;e<U;e++)if(l[e](arguments))return E[e].apply(null,arguments);throw Z(t,arguments,i)},j=function(e,t){return arguments.length===B&&p(e)&&v(t)?A.apply(null,arguments):arguments.length===z&&m(e)&&x(t)?S.apply(null,arguments):arguments.length===I&&h(e)&&b(t)?O.apply(null,arguments):arguments.length===k&&d(e)&&w(t)?T.apply(null,arguments):arguments.length===P&&y(e)&&N(t)?_.apply(null,arguments):arguments.length===R&&g(e)&&M(t)?C.apply(null,arguments):D.apply(null,arguments)};try{Object.defineProperty(j,"name",{value:t})}catch(e){}return j.signatures=W(i),j}function M(e){return-1===F.ignore.indexOf(e)}function E(e){return e.trim()}function A(e){return!!e}function K(e){return null!==e}function S(e){return 0===e.types.length}function O(e){return e.slice(0,e.length-1)}function T(e){return e[e.length-1]}function _(e,t,r){return Array.prototype.slice.call(e,t,r)}function C(e,t){return-1!==e.indexOf(t)}function B(e,t){for(var r=0;r<e.length;r++)if(C(t,e[r]))return!0;return!1}function ee(e,t){for(var r=0;r<e.length;r++)if(t(e[r]))return e[r]}function z(e){for(var t={},r=0;r<e.length;r++)t[e[r]]=!0;return Object.keys(t)}function te(e,t){return Array.prototype.concat.apply([],e.map(t))}function I(e){for(var t="",r=0;r<e.length;r++){var n=e[r];if(("object"==typeof n.signatures||"string"==typeof n.signature)&&""!==n.name)if(""===t)t=n.name;else if(t!==n.name){var i=new Error("Function names do not match (expected: "+t+", actual: "+n.name+")");throw i.data={actual:n.name,expected:t},i}}return t}function k(e){var r,n={};function t(e,t){if(n.hasOwnProperty(e)&&t!==n[e])throw(r=new Error('Signature "'+e+'" is defined twice')).data={signature:e},r}for(var i=0;i<e.length;i++){var o=e[i];if("object"==typeof o.signatures)for(var a in o.signatures)o.signatures.hasOwnProperty(a)&&(t(a,o.signatures[a]),n[a]=o.signatures[a]);else{if("string"!=typeof o.signature)throw(r=new TypeError("Function is no typed-function (index: "+i+")")).data={index:i},r;t(o.signature,o),n[o.signature]=o}}return n}return(F=N("typed",{"string, Object":N,Object:function(e){var t=[];for(var r in e)e.hasOwnProperty(r)&&t.push(e[r]);var n=I(t);return N(n,e)},"...Function":function(e){return N(I(e),k(e))},"string, ...Function":function(e,t){return N(e,k(t))}})).create=e,F.types=t,F.conversions=i,F.ignore=r,F.convert=a,F.find=o,F.addType=function(e,t){if(!e||"string"!=typeof e.name||"function"!=typeof e.test)throw new TypeError("Object with properties {name: string, test: function} expected");if(!1!==t)for(var r=0;r<F.types.length;r++)if("Object"===F.types[r].name)return void F.types.splice(r,0,e);F.types.push(e)},F.addConversion=function(e){if(!e||"string"!=typeof e.from||"string"!=typeof e.to||"function"!=typeof e.convert)throw new TypeError("Object with properties {from: string, to: string, convert: function} expected");F.conversions.push(e)},F}()})?n.apply(t,i):n)||(e.exports=o)},function(e,t){function r(){}r.prototype={on:function(e,t,r){var n=this.e||(this.e={});return(n[e]||(n[e]=[])).push({fn:t,ctx:r}),this},once:function(e,t,r){var n=this;function i(){n.off(e,i),t.apply(r,arguments)}return i._=t,this.on(e,i,r)},emit:function(e){for(var t=[].slice.call(arguments,1),r=((this.e||(this.e={}))[e]||[]).slice(),n=0,i=r.length;n<i;n++)r[n].fn.apply(r[n].ctx,t);return this},off:function(e,t){var r=this.e||(this.e={}),n=r[e],i=[];if(n&&t)for(var o=0,a=n.length;o<a;o++)n[o].fn!==t&&n[o].fn._!==t&&i.push(n[o]);return i.length?r[e]=i:delete r[e],this}},e.exports=r,e.exports.TinyEmitter=r},function(e,t,r){"use strict";function d(e){return(d="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}var y=r(5).lazy,g=r(5).isFactory,v=r(5).traverse,x=r(57);t.math=!0,t.name="import",t.factory=function(t,e,s,u,c){function a(e,t,r){if(r.wrap&&"function"==typeof t&&(t=function(i){var e=function(){for(var e=[],t=0,r=arguments.length;t<r;t++){var n=arguments[t];e[t]=n&&n.valueOf()}return i.apply(c,e)};return i.transform&&(e.transform=i.transform),e}(t)),m(c[e])&&m(t))return t=r.override?u(e,t.signatures):u(c[e],t),n(e,c[e]=t),void c.emit("import",e,function(){return t});if(void 0===c[e]||r.override)return n(e,c[e]=t),void c.emit("import",e,function(){return t});if(!r.silent)throw new Error('Cannot import "'+e+'": already exists')}function n(e,t){t&&"function"==typeof t.transform?(c.expression.transform[e]=t.transform,r(e)&&(c.expression.mathWithTransform[e]=t.transform)):(delete c.expression.transform[e],r(e)&&(c.expression.mathWithTransform[e]=t))}function f(e){delete c.expression.transform[e],r(e)?c.expression.mathWithTransform[e]=c[e]:delete c.expression.mathWithTransform[e]}function l(t,r){if("string"==typeof t.name){var n=t.name,e=n in c.expression.transform,i=t.path?v(c,t.path):c,o=i.hasOwnProperty(n)?i[n]:void 0,a=function(){var e=s(t);if(e&&"function"==typeof e.transform)throw new Error('Transforms cannot be attached to factory functions. Please create a separate function for it with exports.path="expression.transform"');if(m(o)&&m(e))return r.override||(e=u(o,e)),e;if(void 0===o||r.override)return e;if(!r.silent)throw new Error('Cannot import "'+n+'": already exists')};!1!==t.lazy?(y(i,n,a),e?f(n):("expression.transform"===t.path||h(t))&&y(c.expression.mathWithTransform,n,a)):(i[n]=a(),e?f(n):("expression.transform"===t.path||h(t))&&(c.expression.mathWithTransform[n]=a())),c.emit("import",n,a,t.path)}else s(t)}function p(e){return"function"==typeof e||"number"==typeof e||"string"==typeof e||"boolean"==typeof e||null===e||e&&t.isUnit(e)||e&&t.isComplex(e)||e&&t.isBigNumber(e)||e&&t.isFraction(e)||e&&t.isMatrix(e)||e&&Array.isArray(e)}function m(e){return"function"==typeof e&&"object"===d(e.signatures)}function r(e){return!i.hasOwnProperty(e)}function h(e){return void 0===e.path&&!i.hasOwnProperty(e.name)}var i={expression:!0,type:!0,docs:!0,error:!0,json:!0,chain:!0};return function t(e,r){var n=arguments.length;if(1!==n&&2!==n)throw new x("import",n,1,2);if(r||(r={}),g(e))l(e,r);else if(Array.isArray(e))e.forEach(function(e){t(e,r)});else if("object"===d(e)){for(var i in e)if(e.hasOwnProperty(i)){var o=e[i];p(o)?a(i,o,r):g(e)?l(e,r):t(o,r)}}else if(!r.silent)throw new TypeError("Factory, Object, or Array expected")}},t.lazy=!0},function(e,t,r){"use strict";var u=r(5);function c(e,t,r){if(void 0!==e[t]&&!function(e,t){return-1!==e.indexOf(t)}(r,e[t])){var n=function(e,t){return e.map(function(e){return e.toLowerCase()}).indexOf(t.toLowerCase())}(r,e[t]);-1!==n?(console.warn('Warning: Wrong casing for configuration option "'+t+'", should be "'+r[n]+'" instead of "'+e[t]+'".'),e[t]=r[n]):console.warn('Warning: Unknown value "'+e[t]+'" for configuration option "'+t+'". Available options: '+r.map(JSON.stringify).join(", ")+".")}}t.name="config",t.math=!0,t.factory=function(e,i,t,r,o){var a=["Matrix","Array"],s=["number","BigNumber","Fraction"];function n(e){if(e){var t=u.map(i,u.clone);c(e,"matrix",a),c(e,"number",s),u.deepExtend(i,e);var r=u.map(i,u.clone),n=u.map(e,u.clone);return o.emit("config",r,t,n),r}return u.map(i,u.clone)}return n.MATRIX=a,n.NUMBER=s,n}},function(e,t,r){e.exports=[r(167),r(198),r(200),r(353),r(579),r(581)]},function(e,t,r){"use strict";e.exports=[r(168),r(170),r(171),r(175),r(179),r(182),r(64),r(65),r(190),r(191),r(192)]},function(e,t,r){"use strict";e.exports=[r(169),r(104)]},function(e,t,r){"use strict";r.r(t),r.d(t,"factory",function(){return i}),r.d(t,"name",function(){return o}),r.d(t,"path",function(){return s}),r.d(t,"math",function(){return u});var n=r(158),a=r.n(n);function i(e,t,r,n,i){var o=a.a.clone({precision:t.precision});return o.prototype.type="BigNumber",o.prototype.isBigNumber=!0,o.prototype.toJSON=function(){return{mathjs:"BigNumber",value:this.toString()}},o.fromJSON=function(e){return new o(e.value)},i.on("config",function(e,t){e.precision!==t.precision&&o.config({precision:e.precision})}),o}var o="BigNumber",s="type",u=!0},function(e,t,r){"use strict";var o=r(0);t.name="boolean",t.factory=function(e,t,r,n){var i=n("bool",{"":function(){return!1},boolean:function(e){return e},number:function(e){return!!e},null:function(e){return!1},BigNumber:function(e){return!e.isZero()},string:function(e){var t=e.toLowerCase();if("true"===t)return!0;if("false"===t)return!1;var r=Number(e);if(""!==e&&!isNaN(r))return!!r;throw new Error('Cannot convert "'+e+'" to a boolean')},"Array | Matrix":function(e){return o(e,i)}});return i}},function(e,t,r){"use strict";e.exports=[r(172),r(174)]},function(e,t,r){"use strict";var u=r(9).format,c=r(5).lazy;t.name="Chain",t.path="type",t.factory=function(t,e,r,n,i){function o(e){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");t.isChain(e)?this.value=e.value:this.value=e}function a(e,t){"function"==typeof t&&(o.prototype[e]=s(t))}function s(r){return function(){for(var e=[this.value],t=0;t<arguments.length;t++)e[t+1]=arguments[t];return new o(r.apply(r,e))}}return o.prototype.type="Chain",o.prototype.isChain=!0,o.prototype.done=function(){return this.value},o.prototype.valueOf=function(){return this.value},o.prototype.toString=function(){return u(this.value)},o.prototype.toJSON=function(){return{mathjs:"Chain",value:this.value}},o.fromJSON=function(e){return new o(e.value)},o.createProxy=function(e,t){if("string"==typeof e)a(e,t);else for(var r in e)e.hasOwnProperty(r)&&a(r,e[r])},o.createProxy(i),i.on("import",function(e,t,r){void 0===r&&function(e,t){c(o.prototype,e,function(){var e=t();if("function"==typeof e)return s(e)})}(e,t)}),o},t.math=!0,t.lazy=!1},function(e,u,t){"use strict";var c=t(5);u.format=function(e,t){if("function"==typeof t)return t(e);if(!e.isFinite())return e.isNaN()?"NaN":e.gt(0)?"Infinity":"-Infinity";var r,n="auto";switch(void 0!==t&&(t.notation&&(n=t.notation),"number"==typeof t?r=t:t.precision&&(r=t.precision)),n){case"fixed":return u.toFixed(e,r);case"exponential":return u.toExponential(e,r);case"auto":if(t&&t.exponential&&(void 0!==t.exponential.lower||void 0!==t.exponential.upper)){var i=c.map(t,function(e){return e});return(i.exponential=void 0)!==t.exponential.lower&&(i.lowerExp=Math.round(Math.log(t.exponential.lower)/Math.LN10)),void 0!==t.exponential.upper&&(i.upperExp=Math.round(Math.log(t.exponential.upper)/Math.LN10)),console.warn("Deprecation warning: Formatting options exponential.lower and exponential.upper (minimum and maximum value) are replaced with exponential.lowerExp and exponential.upperExp (minimum and maximum exponent) since version 4.0.0. Replace "+JSON.stringify(t)+" with "+JSON.stringify(i)),u.format(e,i)}var o=t&&void 0!==t.lowerExp?t.lowerExp:-3,a=t&&void 0!==t.upperExp?t.upperExp:5;if(e.isZero())return"0";var s=e.e;return(o<=s&&s<a?e.toSignificantDigits(r).toFixed():u.toExponential(e,r)).replace(/((\.\d*?)(0+))($|e)/,function(){var e=arguments[2],t=arguments[4];return"."!==e?e+t:t});default:throw new Error('Unknown notation "'+n+'". Choose "auto", "exponential", or "fixed".')}},u.toExponential=function(e,t){return void 0!==t?e.toExponential(t-1):e.toExponential()},u.toFixed=function(e,t){return e.toFixed(t)}},function(e,t,r){"use strict";t.name="chain",t.factory=function(t,e,r,n){return n("chain",{"":function(){return new t.Chain},any:function(e){return new t.Chain(e)}})}},function(e,t,r){"use strict";e.exports=[r(81),r(177)]},function(t,r,e){var a;
+/**
+ * @license Complex.js v2.0.11 11/02/2016
+ *
+ * Copyright (c) 2016, Robert Eisele (robert@xarg.org)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ **/
+/**
+ * @license Complex.js v2.0.11 11/02/2016
+ *
+ * Copyright (c) 2016, Robert Eisele (robert@xarg.org)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ **/
+!function(e){"use strict";var n=function(e){return.5*(Math.exp(e)+Math.exp(-e))},i=function(e){return.5*(Math.exp(e)-Math.exp(-e))},u=function(){throw SyntaxError("Invalid Param")};function c(e,t){var r=Math.abs(e),n=Math.abs(t);return 0===e?Math.log(n):0===t?Math.log(r):r<3e3&&n<3e3?.5*Math.log(e*e+t*t):Math.log(e/Math.cos(Math.atan2(t,e)))}var o=function(e,t){var r={re:0,im:0};if(null==e)r.re=r.im=0;else if(void 0!==t)r.re=e,r.im=t;else switch(typeof e){case"object":if("im"in e&&"re"in e)r.re=e.re,r.im=e.im;else if("abs"in e&&"arg"in e){if(!Number.isFinite(e.abs)&&Number.isFinite(e.arg))return f.INFINITY;r.re=e.abs*Math.cos(e.arg),r.im=e.abs*Math.sin(e.arg)}else if("r"in e&&"phi"in e){if(!Number.isFinite(e.r)&&Number.isFinite(e.phi))return f.INFINITY;r.re=e.r*Math.cos(e.phi),r.im=e.r*Math.sin(e.phi)}else 2===e.length?(r.re=e[0],r.im=e[1]):u();break;case"string":r.im=r.re=0;var n=e.match(/\d+\.?\d*e[+-]?\d+|\d+\.?\d*|\.\d+|./g),i=1,o=0;null===n&&u();for(var a=0;a<n.length;a++){var s=n[a];" "===s||"\t"===s||"\n"===s||("+"===s?i++:"-"===s?o++:i=o=("i"===s||"I"===s?(i+o===0&&u()," "===n[a+1]||isNaN(n[a+1])?r.im+=parseFloat((o%2?"-":"")+"1"):(r.im+=parseFloat((o%2?"-":"")+n[a+1]),a++)):((i+o===0||isNaN(s))&&u(),"i"===n[a+1]||"I"===n[a+1]?(r.im+=parseFloat((o%2?"-":"")+s),a++):r.re+=parseFloat((o%2?"-":"")+s)),0))}0<i+o&&u();break;case"number":r.im=0,r.re=e;break;default:u()}return isNaN(r.re)||isNaN(r.im),r};function f(e,t){if(!(this instanceof f))return new f(e,t);var r=o(e,t);this.re=r.re,this.im=r.im}f.prototype={re:0,im:0,sign:function(){var e=this.abs();return new f(this.re/e,this.im/e)},add:function(e,t){var r=new f(e,t);return this.isInfinite()&&r.isInfinite()?f.NAN:this.isInfinite()||r.isInfinite()?f.INFINITY:new f(this.re+r.re,this.im+r.im)},sub:function(e,t){var r=new f(e,t);return this.isInfinite()&&r.isInfinite()?f.NAN:this.isInfinite()||r.isInfinite()?f.INFINITY:new f(this.re-r.re,this.im-r.im)},mul:function(e,t){var r=new f(e,t);return this.isInfinite()&&r.isZero()||this.isZero()&&r.isInfinite()?f.NAN:this.isInfinite()||r.isInfinite()?f.INFINITY:0===r.im&&0===this.im?new f(this.re*r.re,0):new f(this.re*r.re-this.im*r.im,this.re*r.im+this.im*r.re)},div:function(e,t){var r=new f(e,t);if(this.isZero()&&r.isZero()||this.isInfinite()&&r.isInfinite())return f.NAN;if(this.isInfinite()||r.isZero())return f.INFINITY;if(this.isZero()||r.isInfinite())return f.ZERO;e=this.re,t=this.im;var n,i,o=r.re,a=r.im;return 0===a?new f(e/o,t/o):Math.abs(o)<Math.abs(a)?new f((e*(i=o/a)+t)/(n=o*i+a),(t*i-e)/n):new f((e+t*(i=a/o))/(n=a*i+o),(t-e*i)/n)},pow:function(e,t){var r=new f(e,t);if(e=this.re,t=this.im,r.isZero())return f.ONE;if(0===r.im){if(0===t&&0<=e)return new f(Math.pow(e,r.re),0);if(0===e)switch((r.re%4+4)%4){case 0:return new f(Math.pow(t,r.re),0);case 1:return new f(0,Math.pow(t,r.re));case 2:return new f(-Math.pow(t,r.re),0);case 3:return new f(0,-Math.pow(t,r.re))}}if(0===e&&0===t&&0<r.re&&0<=r.im)return f.ZERO;var n=Math.atan2(t,e),i=c(e,t);return e=Math.exp(r.re*i-r.im*n),t=r.im*i+r.re*n,new f(e*Math.cos(t),e*Math.sin(t))},sqrt:function(){var e,t,r=this.re,n=this.im,i=this.abs();if(0<=r){if(0===n)return new f(Math.sqrt(r),0);e=.5*Math.sqrt(2*(i+r))}else e=Math.abs(n)/Math.sqrt(2*(i-r));return t=r<=0?.5*Math.sqrt(2*(i-r)):Math.abs(n)/Math.sqrt(2*(i+r)),new f(e,n<0?-t:t)},exp:function(){var e=Math.exp(this.re);return this.im,new f(e*Math.cos(this.im),e*Math.sin(this.im))},expm1:function(){var e=this.re,t=this.im;return new f(Math.expm1(e)*Math.cos(t)+function(e){var t=Math.PI/4;if(e<-t||t<e)return Math.cos(e)-1;var r=e*e;return r*(r*(1/24+r*(-1/720+r*(1/40320+r*(-1/3628800+r*(1/4790014600+r*(-1/87178291200+1/20922789888e3*r))))))-.5)}(t),Math.exp(e)*Math.sin(t))},log:function(){var e=this.re,t=this.im;return new f(c(e,t),Math.atan2(t,e))},abs:function(){return function(e,t){var r=Math.abs(e),n=Math.abs(t);return r<3e3&&n<3e3?Math.sqrt(r*r+n*n):(n=r<n?(r=n,e/t):t/e,r*Math.sqrt(1+n*n))}(this.re,this.im)},arg:function(){return Math.atan2(this.im,this.re)},sin:function(){var e=this.re,t=this.im;return new f(Math.sin(e)*n(t),Math.cos(e)*i(t))},cos:function(){var e=this.re,t=this.im;return new f(Math.cos(e)*n(t),-Math.sin(e)*i(t))},tan:function(){var e=2*this.re,t=2*this.im,r=Math.cos(e)+n(t);return new f(Math.sin(e)/r,i(t)/r)},cot:function(){var e=2*this.re,t=2*this.im,r=Math.cos(e)-n(t);return new f(-Math.sin(e)/r,i(t)/r)},sec:function(){var e=this.re,t=this.im,r=.5*n(2*t)+.5*Math.cos(2*e);return new f(Math.cos(e)*n(t)/r,Math.sin(e)*i(t)/r)},csc:function(){var e=this.re,t=this.im,r=.5*n(2*t)-.5*Math.cos(2*e);return new f(Math.sin(e)*n(t)/r,-Math.cos(e)*i(t)/r)},asin:function(){var e=this.re,t=this.im,r=new f(t*t-e*e+1,-2*e*t).sqrt(),n=new f(r.re-t,r.im+e).log();return new f(n.im,-n.re)},acos:function(){var e=this.re,t=this.im,r=new f(t*t-e*e+1,-2*e*t).sqrt(),n=new f(r.re-t,r.im+e).log();return new f(Math.PI/2-n.im,n.re)},atan:function(){var e=this.re,t=this.im;if(0===e){if(1===t)return new f(0,1/0);if(-1===t)return new f(0,-1/0)}var r=e*e+(1-t)*(1-t),n=new f((1-t*t-e*e)/r,-2*e/r).log();return new f(-.5*n.im,.5*n.re)},acot:function(){var e=this.re,t=this.im;if(0===t)return new f(Math.atan2(1,e),0);var r=e*e+t*t;return 0!=r?new f(e/r,-t/r).atan():new f(0!==e?e/0:0,0!==t?-t/0:0).atan()},asec:function(){var e=this.re,t=this.im;if(0===e&&0===t)return new f(0,1/0);var r=e*e+t*t;return 0!=r?new f(e/r,-t/r).acos():new f(0!==e?e/0:0,0!==t?-t/0:0).acos()},acsc:function(){var e=this.re,t=this.im;if(0===e&&0===t)return new f(Math.PI/2,1/0);var r=e*e+t*t;return 0!=r?new f(e/r,-t/r).asin():new f(0!==e?e/0:0,0!==t?-t/0:0).asin()},sinh:function(){var e=this.re,t=this.im;return new f(i(e)*Math.cos(t),n(e)*Math.sin(t))},cosh:function(){var e=this.re,t=this.im;return new f(n(e)*Math.cos(t),i(e)*Math.sin(t))},tanh:function(){var e=2*this.re,t=2*this.im,r=n(e)+Math.cos(t);return new f(i(e)/r,Math.sin(t)/r)},coth:function(){var e=2*this.re,t=2*this.im,r=n(e)-Math.cos(t);return new f(i(e)/r,-Math.sin(t)/r)},csch:function(){var e=this.re,t=this.im,r=Math.cos(2*t)-n(2*e);return new f(-2*i(e)*Math.cos(t)/r,2*n(e)*Math.sin(t)/r)},sech:function(){var e=this.re,t=this.im,r=Math.cos(2*t)+n(2*e);return new f(2*n(e)*Math.cos(t)/r,-2*i(e)*Math.sin(t)/r)},asinh:function(){var e=this.im;this.im=-this.re,this.re=e;var t=this.asin();return this.re=-this.im,this.im=e,e=t.re,t.re=-t.im,t.im=e,t},acosh:function(){var e=this.acos();if(e.im<=0){var t=e.re;e.re=-e.im,e.im=t}else{t=e.im;e.im=-e.re,e.re=t}return e},atanh:function(){var e=this.re,t=this.im,r=1<e&&0===t,n=1-e,i=1+e,o=n*n+t*t,a=0!=o?new f((i*n-t*t)/o,(t*n+i*t)/o):new f(-1!==e?e/0:0,0!==t?t/0:0),s=a.re;return a.re=c(a.re,a.im)/2,a.im=Math.atan2(a.im,s)/2,r&&(a.im=-a.im),a},acoth:function(){var e=this.re,t=this.im;if(0===e&&0===t)return new f(0,Math.PI/2);var r=e*e+t*t;return 0!=r?new f(e/r,-t/r).atanh():new f(0!==e?e/0:0,0!==t?-t/0:0).atanh()},acsch:function(){var e=this.re,t=this.im;if(0===t)return new f(0!==e?Math.log(e+Math.sqrt(e*e+1)):1/0,0);var r=e*e+t*t;return 0!=r?new f(e/r,-t/r).asinh():new f(0!==e?e/0:0,0!==t?-t/0:0).asinh()},asech:function(){var e=this.re,t=this.im;if(this.isZero())return f.INFINITY;var r=e*e+t*t;return 0!=r?new f(e/r,-t/r).acosh():new f(0!==e?e/0:0,0!==t?-t/0:0).acosh()},inverse:function(){if(this.isZero())return f.INFINITY;if(this.isInfinite())return f.ZERO;var e=this.re,t=this.im,r=e*e+t*t;return new f(e/r,-t/r)},conjugate:function(){return new f(this.re,-this.im)},neg:function(){return new f(-this.re,-this.im)},ceil:function(e){return e=Math.pow(10,e||0),new f(Math.ceil(this.re*e)/e,Math.ceil(this.im*e)/e)},floor:function(e){return e=Math.pow(10,e||0),new f(Math.floor(this.re*e)/e,Math.floor(this.im*e)/e)},round:function(e){return e=Math.pow(10,e||0),new f(Math.round(this.re*e)/e,Math.round(this.im*e)/e)},equals:function(e,t){var r=new f(e,t);return Math.abs(r.re-this.re)<=f.EPSILON&&Math.abs(r.im-this.im)<=f.EPSILON},clone:function(){return new f(this.re,this.im)},toString:function(){var e=this.re,t=this.im,r="";return this.isNaN()?"NaN":this.isZero()?"0":this.isInfinite()?"Infinity":(0!==e&&(r+=e),0!==t&&(0!==e?r+=t<0?" - ":" + ":t<0&&(r+="-"),1!==(t=Math.abs(t))&&(r+=t),r+="i"),r||"0")},toVector:function(){return[this.re,this.im]},valueOf:function(){return 0===this.im?this.re:null},isNaN:function(){return isNaN(this.re)||isNaN(this.im)},isZero:function(){return!(0!==this.re&&-0!==this.re||0!==this.im&&-0!==this.im)},isFinite:function(){return isFinite(this.re)&&isFinite(this.im)},isInfinite:function(){return!(this.isNaN()||this.isFinite())}},f.ZERO=new f(0,0),f.ONE=new f(1,0),f.I=new f(0,1),f.PI=new f(Math.PI,0),f.E=new f(Math.E,0),f.INFINITY=new f(1/0,1/0),f.NAN=new f(NaN,NaN),f.EPSILON=1e-16,void 0===(a=function(){return f}.apply(r,[]))||(t.exports=a)}()},function(e,t,a){"use strict";var s=a(0);t.name="complex",t.factory=function(r,e,t,n){var i=a(4),o=n("complex",{"":function(){return r.Complex.ZERO},number:function(e){return new r.Complex(e,0)},"number, number":function(e,t){return new r.Complex(e,t)},"BigNumber, BigNumber":function(e,t){return new r.Complex(e.toNumber(),t.toNumber())},Complex:function(e){return e.clone()},string:function(e){return r.Complex(e)},null:function(e){return r.Complex(0)},Object:function(e){if("re"in e&&"im"in e)return new r.Complex(e.re,e.im);if("r"in e&&"phi"in e||"abs"in e&&"arg"in e)return new r.Complex(e);throw new Error("Expected object with properties (re and im) or (r and phi) or (abs and arg)")},"Array | Matrix":function(e){return s(e,o)}});return o.toTex={0:"0",1:"\\left(${args[0]}\\right)",2:"\\left(\\left(${args[0]}\\right)+".concat(i.symbols.i,"\\cdot\\left(${args[1]}\\right)\\right)")},o}},function(e,t,r){"use strict";var l=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var r=arguments[t];for(var n in r)Object.prototype.hasOwnProperty.call(r,n)&&(e[n]=r[n])}return e},p={"{":"\\{","}":"\\}","\\":"\\textbackslash{}","#":"\\#",$:"\\$","%":"\\%","&":"\\&","^":"\\textasciicircum{}",_:"\\_","~":"\\textasciitilde{}"},m={"–":"\\--","—":"\\---"," ":"~","\t":"\\qquad{}","\r\n":"\\newline{}","\n":"\\newline{}"},h=function(e,t){return l({},e,t)};e.exports=function(e){for(var t=1<arguments.length&&void 0!==arguments[1]?arguments[1]:{},r=t.preserveFormatting,n=void 0!==r&&r,i=t.escapeMapFn,o=void 0===i?h:i,a=String(e),s="",u=o(l({},p),n?l({},m):{}),c=Object.keys(u),f=function(){var r=!1;c.forEach(function(e,t){r||a.length>=e.length&&a.slice(0,e.length)===e&&(s+=u[c[t]],a=a.slice(e.length,a.length),r=!0)}),r||(s+=a.slice(0,1),a=a.slice(1,a.length))};a;)f();return s}},function(e,t,r){"use strict";e.exports=[r(180),r(82)]},function(e,t,r){"use strict";var i=r(181);i.prototype.type="Fraction",i.prototype.isFraction=!0,i.prototype.toJSON=function(){return{mathjs:"Fraction",n:this.s*this.n,d:this.d}},i.fromJSON=function(e){return new i(e)},t.name="Fraction",t.path="type",t.factory=function(e,t,r,n){return i}},function(i,o,e){var a;
+/**
+ * @license Fraction.js v4.0.12 09/09/2015
+ * http://www.xarg.org/2014/03/rational-numbers-in-javascript/
+ *
+ * Copyright (c) 2015, Robert Eisele (robert@xarg.org)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ **/
+/**
+ * @license Fraction.js v4.0.12 09/09/2015
+ * http://www.xarg.org/2014/03/rational-numbers-in-javascript/
+ *
+ * Copyright (c) 2015, Robert Eisele (robert@xarg.org)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ **/
+!function(e){"use strict";var d={s:1,n:0,d:1};function t(t){function e(){var e=Error.apply(this,arguments);e.name=this.name=t,this.stack=e.stack,this.message=e.message}function r(){}return r.prototype=Error.prototype,e.prototype=new r,e}var y=c.DivisionByZero=t("DivisionByZero"),r=c.InvalidParameter=t("InvalidParameter");function g(e,t){return isNaN(e=parseInt(e,10))&&v(),e*t}function v(){throw new r}var n=function(e,t){var r,n=0,i=1,o=1,a=0,s=0,u=0,c=1,f=1,l=0,p=1,m=1,h=1;if(null==e);else if(void 0!==t)o=(n=e)*(i=t);else switch(typeof e){case"object":"d"in e&&"n"in e?(n=e.n,i=e.d,"s"in e&&(n*=e.s)):0 in e?(n=e[0],1 in e&&(i=e[1])):v(),o=n*i;break;case"number":if(e<0&&(e=-(o=e)),e%1==0)n=e;else if(0<e){for(1<=e&&(e/=f=Math.pow(10,Math.floor(1+Math.log(e)/Math.LN10)));p<=1e7&&h<=1e7;){if(e===(r=(l+m)/(p+h))){i=p+h<=1e7?(n=l+m,p+h):p<h?(n=m,h):(n=l,p);break}r<e?(l+=m,p+=h):(m+=l,h+=p),i=1e7<p?(n=m,h):(n=l,p)}n*=f}else(isNaN(e)||isNaN(t))&&(i=n=NaN);break;case"string":if(null===(p=e.match(/\d+|./g))&&v(),"-"===p[l]?(o=-1,l++):"+"===p[l]&&l++,p.length===l+1?s=g(p[l++],o):"."===p[l+1]||"."===p[l]?("."!==p[l]&&(a=g(p[l++],o)),(++l+1===p.length||"("===p[l+1]&&")"===p[l+3]||"'"===p[l+1]&&"'"===p[l+3])&&(s=g(p[l],o),c=Math.pow(10,p[l].length),l++),("("===p[l]&&")"===p[l+2]||"'"===p[l]&&"'"===p[l+2])&&(u=g(p[l+1],o),f=Math.pow(10,p[l+1].length)-1,l+=3)):"/"===p[l+1]||":"===p[l+1]?(s=g(p[l],o),c=g(p[l+2],1),l+=3):"/"===p[l+3]&&" "===p[l+1]&&(a=g(p[l],o),s=g(p[l+2],o),c=g(p[l+4],1),l+=5),p.length<=l){o=n=u+(i=c*f)*a+f*s;break}default:v()}if(0===i)throw new y;d.s=o<0?-1:1,d.n=Math.abs(n),d.d=Math.abs(i)};function u(e,t){if(!e)return t;if(!t)return e;for(;;){if(!(e%=t))return t;if(!(t%=e))return e}}function c(e,t){if(!(this instanceof c))return new c(e,t);n(e,t),e=c.REDUCE?u(d.d,d.n):1,this.s=d.s,this.n=d.n/e,this.d=d.d/e}c.REDUCE=1,c.prototype={s:1,n:0,d:1,abs:function(){return new c(this.n,this.d)},neg:function(){return new c(-this.s*this.n,this.d)},add:function(e,t){return n(e,t),new c(this.s*this.n*d.d+d.s*this.d*d.n,this.d*d.d)},sub:function(e,t){return n(e,t),new c(this.s*this.n*d.d-d.s*this.d*d.n,this.d*d.d)},mul:function(e,t){return n(e,t),new c(this.s*d.s*this.n*d.n,this.d*d.d)},div:function(e,t){return n(e,t),new c(this.s*d.s*this.n*d.d,this.d*d.n)},clone:function(){return new c(this)},mod:function(e,t){return isNaN(this.n)||isNaN(this.d)?new c(NaN):void 0===e?new c(this.s*this.n%this.d,1):(n(e,t),0===d.n&&0===this.d&&c(0,0),new c(this.s*(d.d*this.n)%(d.n*this.d),d.d*this.d))},gcd:function(e,t){return n(e,t),new c(u(d.n,this.n)*u(d.d,this.d),d.d*this.d)},lcm:function(e,t){return n(e,t),0===d.n&&0===this.n?new c:new c(d.n*this.n,u(d.n,this.n)*u(d.d,this.d))},ceil:function(e){return e=Math.pow(10,e||0),isNaN(this.n)||isNaN(this.d)?new c(NaN):new c(Math.ceil(e*this.s*this.n/this.d),e)},floor:function(e){return e=Math.pow(10,e||0),isNaN(this.n)||isNaN(this.d)?new c(NaN):new c(Math.floor(e*this.s*this.n/this.d),e)},round:function(e){return e=Math.pow(10,e||0),isNaN(this.n)||isNaN(this.d)?new c(NaN):new c(Math.round(e*this.s*this.n/this.d),e)},inverse:function(){return new c(this.s*this.d,this.n)},pow:function(e){return e<0?new c(Math.pow(this.s*this.d,-e),Math.pow(this.n,-e)):new c(Math.pow(this.s*this.n,e),Math.pow(this.d,e))},equals:function(e,t){return n(e,t),this.s*this.n*d.d==d.s*d.n*this.d},compare:function(e,t){n(e,t);var r=this.s*this.n*d.d-d.s*d.n*this.d;return(0<r)-(r<0)},simplify:function(e){if(isNaN(this.n)||isNaN(this.d))return this;var t=this.abs().toContinued();function r(e){return 1===e.length?new c(e[0]):r(e.slice(1)).inverse().add(e[0])}e=e||.001;for(var n=0;n<t.length;n++){var i=r(t.slice(0,n+1));if(i.sub(this.abs()).abs().valueOf()<e)return i.mul(this.s)}return this},divisible:function(e,t){return n(e,t),!(!(d.n*this.d)||this.n*d.d%(d.n*this.d))},valueOf:function(){return this.s*this.n/this.d},toFraction:function(e){var t,r="",n=this.n,i=this.d;return this.s<0&&(r+="-"),1===i?r+=n:(e&&0<(t=Math.floor(n/i))&&(r+=t,r+=" ",n%=i),r+=n,r+="/",r+=i),r},toLatex:function(e){var t,r="",n=this.n,i=this.d;return this.s<0&&(r+="-"),1===i?r+=n:(e&&0<(t=Math.floor(n/i))&&(r+=t,n%=i),r+="\\frac{",r+=n,r+="}{",r+=i,r+="}"),r},toContinued:function(){var e,t=this.n,r=this.d,n=[];if(isNaN(this.n)||isNaN(this.d))return n;for(;n.push(Math.floor(t/r)),e=t%r,t=r,r=e,1!==t;);return n},toString:function(e){var t,r=this.n,n=this.d;if(isNaN(r)||isNaN(n))return"NaN";c.REDUCE||(r/=t=u(r,n),n/=t),e=e||15;var i=function(e,t){for(;t%2==0;t/=2);for(;t%5==0;t/=5);if(1===t)return 0;for(var r=10%t,n=1;1!==r;n++)if(r=10*r%t,2e3<n)return 0;return n}(0,n),o=function(e,t,r){for(var n=1,i=function(e,t,r){for(var n=1;0<t;e=e*e%r,t>>=1)1&t&&(n=n*e%r);return n}(10,r,t),o=0;o<300;o++){if(n===i)return o;n=10*n%t,i=10*i%t}return 0}(0,n,i),a=-1===this.s?"-":"";if(a+=r/n|0,r%=n,(r*=10)&&(a+="."),i){for(var s=o;s--;)a+=r/n|0,r%=n,r*=10;a+="(";for(s=i;s--;)a+=r/n|0,r%=n,r*=10;a+=")"}else for(s=e;r&&s--;)a+=r/n|0,r%=n,r*=10;return a}},void 0===(a=function(){return c}.apply(o,[]))||(i.exports=a)}()},function(e,t,r){"use strict";e.exports=[r(83),r(49),r(184),r(185),r(186),r(187),r(29),r(105),r(188),r(1),r(189),r(63)]},function(e,t,r){"use strict";t.isBoolean=function(e){return"boolean"==typeof e}},function(e,t,a){"use strict";var s=a(31),x=a(8),y=s.array,w=s.object,N=s.string,S=s.number,O=Array.isArray,T=S.isNumber,_=S.isInteger,C=N.isString,B=y.validateIndex;t.name="SparseMatrix",t.path="type",t.factory=function(b,e,t,M){var r=t(a(83)),E=t(a(11)),n=t(a(63));function A(e,t){if(!(this instanceof A))throw new SyntaxError("Constructor must be called with the new operator");if(t&&!C(t))throw new Error("Invalid datatype: "+t);if(b.isMatrix(e))!function(e,t,r){"SparseMatrix"===t.type?(e._values=t._values?w.clone(t._values):void 0,e._index=w.clone(t._index),e._ptr=w.clone(t._ptr),e._size=w.clone(t._size),e._datatype=r||t._datatype):i(e,t.valueOf(),r||t._datatype)}(this,e,t);else if(e&&O(e.index)&&O(e.ptr)&&O(e.size))this._values=e.values,this._index=e.index,this._ptr=e.ptr,this._size=e.size,this._datatype=t||e.datatype;else if(O(e))i(this,e,t);else{if(e)throw new TypeError("Unsupported type of data ("+s.types.type(e)+")");this._values=[],this._index=[],this._ptr=[0],this._size=[0,0],this._datatype=t}}function i(e,t,r){e._values=[],e._index=[],e._ptr=[],e._datatype=r;var n=t.length,i=0,o=E,a=0;if(C(r)&&(o=M.find(E,[r,r])||E,a=M.convert(0,r)),0<n){var s=0;do{e._ptr.push(e._index.length);for(var u=0;u<n;u++){var c=t[u];if(O(c)){if(0===s&&i<c.length&&(i=c.length),s<c.length){var f=c[s];o(f,a)||(e._values.push(f),e._index.push(u))}}else 0===s&&i<1&&(i=1),o(c,a)||(e._values.push(c),e._index.push(u))}s++}while(s<i)}e._ptr.push(e._index.length),e._size=[n,i]}function g(e,t,r,n){if(r-t==0)return r;for(var i=t;i<r;i++)if(n[i]===e)return i;return t}function v(e,t,r,n,i,o,a){i.splice(e,0,n),o.splice(e,0,t);for(var s=r+1;s<a.length;s++)a[s]++}function f(e,t,r,n){var i=n||0,o=E,a=0;C(e._datatype)&&(o=M.find(E,[e._datatype,e._datatype])||E,a=M.convert(0,e._datatype),i=M.convert(i,e._datatype));var s,u,c,f=!o(i,a),l=e._size[0],p=e._size[1];if(p<r){for(u=p;u<r;u++)if(e._ptr[u]=e._values.length,f)for(s=0;s<l;s++)e._values.push(i),e._index.push(s);e._ptr[r]=e._values.length}else r<p&&(e._ptr.splice(r+1,p-r),e._values.splice(e._ptr[r],e._values.length),e._index.splice(e._ptr[r],e._index.length));if(p=r,l<t){if(f){var m=0;for(u=0;u<p;u++){e._ptr[u]=e._ptr[u]+m,c=e._ptr[u+1]+m;var h=0;for(s=l;s<t;s++,h++)e._values.splice(c+h,0,i),e._index.splice(c+h,0,s),m++}e._ptr[p]=e._values.length}}else if(t<l){var d=0;for(u=0;u<p;u++){e._ptr[u]=e._ptr[u]-d;var y=e._ptr[u],g=e._ptr[u+1]-d;for(c=y;c<g;c++)t-1<(s=e._index[c])&&(e._values.splice(c,1),e._index.splice(c,1),d++)}e._ptr[u]=e._values.length}return e._size[0]=t,e._size[1]=r,e}function o(e,t,r,n,i){var o,a,s=n[0],u=n[1],c=[];for(o=0;o<s;o++)for(c[o]=[],a=0;a<u;a++)c[o][a]=0;for(a=0;a<u;a++)for(var f=r[a],l=r[a+1],p=f;p<l;p++)c[o=t[p]][a]=e?i?w.clone(e[p]):e[p]:1;return c}return(A.prototype=new r).type="SparseMatrix",A.prototype.isSparseMatrix=!0,A.prototype.getDataType=function(){return n(this._values)},A.prototype.storage=function(){return"sparse"},A.prototype.datatype=function(){return this._datatype},A.prototype.create=function(e,t){return new A(e,t)},A.prototype.density=function(){var e=this._size[0],t=this._size[1];return 0!==e&&0!==t?this._index.length/(e*t):0},A.prototype.subset=function(e,t,r){if(!this._values)throw new Error("Cannot invoke subset on a Pattern only matrix");switch(arguments.length){case 1:return function(e,t){if(!b.isIndex(t))throw new TypeError("Invalid index");if(t.isScalar())return e.get(t.min());var r,n,i,o,a=t.size();if(a.length!==e._size.length)throw new x(a.length,e._size.length);var s=t.min(),u=t.max();for(r=0,n=e._size.length;r<n;r++)B(s[r],e._size[r]),B(u[r],e._size[r]);var c=e._values,f=e._index,l=e._ptr,p=t.dimension(0),m=t.dimension(1),h=[],d=[];p.forEach(function(e,t){d[e]=t[0],h[e]=!0});var y=c?[]:void 0,g=[],v=[];return m.forEach(function(e){for(v.push(g.length),i=l[e],o=l[e+1];i<o;i++)r=f[i],!0===h[r]&&(g.push(d[r]),y&&y.push(c[i]))}),v.push(g.length),new A({values:y,index:g,ptr:v,size:a,datatype:e._datatype})}(this,e);case 2:case 3:return function(e,t,r,n){if(!t||!0!==t.isIndex)throw new TypeError("Invalid index");var i,o=t.size(),a=t.isScalar();if(b.isMatrix(r)?(i=r.size(),r=r.toArray()):i=y.size(r),a){if(0!==i.length)throw new TypeError("Scalar expected");e.set(t.min(),r,n)}else{if(1!==o.length&&2!==o.length)throw new x(o.length,e._size.length,"<");if(i.length<o.length){for(var s=0,u=0;1===o[s]&&1===i[s];)s++;for(;1===o[s];)u++,s++;r=y.unsqueeze(r,o.length,u,i)}if(!w.deepEqual(o,i))throw new x(o,i,">");for(var c=t.min()[0],f=t.min()[1],l=i[0],p=i[1],m=0;m<l;m++)for(var h=0;h<p;h++){var d=r[m][h];e.set([m+c,h+f],d,n)}}return e}(this,e,t,r);default:throw new SyntaxError("Wrong number of arguments")}},A.prototype.get=function(e){if(!O(e))throw new TypeError("Array expected");if(e.length!==this._size.length)throw new x(e.length,this._size.length);if(!this._values)throw new Error("Cannot invoke get on a Pattern only matrix");var t=e[0],r=e[1];B(t,this._size[0]),B(r,this._size[1]);var n=g(t,this._ptr[r],this._ptr[r+1],this._index);return n<this._ptr[r+1]&&this._index[n]===t?this._values[n]:0},A.prototype.set=function(e,t,r){if(!O(e))throw new TypeError("Array expected");if(e.length!==this._size.length)throw new x(e.length,this._size.length);if(!this._values)throw new Error("Cannot invoke set on a Pattern only matrix");var n=e[0],i=e[1],o=this._size[0],a=this._size[1],s=E,u=0;C(this._datatype)&&(s=M.find(E,[this._datatype,this._datatype])||E,u=M.convert(0,this._datatype)),(o-1<n||a-1<i)&&(f(this,Math.max(n+1,o),Math.max(i+1,a),r),o=this._size[0],a=this._size[1]),B(n,o),B(i,a);var c=g(n,this._ptr[i],this._ptr[i+1],this._index);return c<this._ptr[i+1]&&this._index[c]===n?s(t,u)?function(e,t,r,n,i){r.splice(e,1),n.splice(e,1);for(var o=t+1;o<i.length;o++)i[o]--}(c,i,this._values,this._index,this._ptr):this._values[c]=t:v(c,n,i,t,this._values,this._index,this._ptr),this},A.prototype.resize=function(t,e,r){if(!O(t))throw new TypeError("Array expected");if(2!==t.length)throw new Error("Only two dimensions matrix are supported");return t.forEach(function(e){if(!S.isNumber(e)||!S.isInteger(e)||e<0)throw new TypeError("Invalid size, must contain positive integers (size: "+N.format(t)+")")}),f(r?this.clone():this,t[0],t[1],e)},A.prototype.reshape=function(t,e){if(!O(t))throw new TypeError("Array expected");if(2!==t.length)throw new Error("Sparse matrices can only be reshaped in two dimensions");if(t.forEach(function(e){if(!S.isNumber(e)||!S.isInteger(e)||e<0)throw new TypeError("Invalid size, must contain positive integers (size: "+N.format(t)+")")}),this._size[0]*this._size[1]!=t[0]*t[1])throw new Error("Reshaping sparse matrix will result in the wrong number of elements");var r=e?this.clone():this;if(this._size[0]===t[0]&&this._size[1]===t[1])return r;for(var n=[],i=0;i<r._ptr.length;i++)for(var o=0;o<r._ptr[i+1]-r._ptr[i];o++)n.push(i);for(var a=r._values.slice(),s=r._index.slice(),u=0;u<r._index.length;u++){var c=s[u],f=n[u],l=c*r._size[1]+f;n[u]=l%t[1],s[u]=Math.floor(l/t[1])}r._values.length=0,r._index.length=0,r._ptr.length=t[1]+1,r._size=t.slice();for(var p=0;p<r._ptr.length;p++)r._ptr[p]=0;for(var m=0;m<a.length;m++){var h=s[m],d=n[m],y=a[m];v(g(h,r._ptr[d],r._ptr[d+1],r._index),h,d,y,r._values,r._index,r._ptr)}return r},A.prototype.clone=function(){return new A({values:this._values?w.clone(this._values):void 0,index:w.clone(this._index),ptr:w.clone(this._ptr),size:w.clone(this._size),datatype:this._datatype})},A.prototype.size=function(){return this._size.slice(0)},A.prototype.map=function(n,e){if(!this._values)throw new Error("Cannot invoke map on a Pattern only matrix");var i=this;return function(e,t,r,n,i,o,a){var s=[],u=[],c=[],f=E,l=0;C(e._datatype)&&(f=M.find(E,[e._datatype,e._datatype])||E,l=M.convert(0,e._datatype));for(var p=function(e,t,r){e=o(e,t,r),f(e,l)||(s.push(e),u.push(t))},m=n;m<=i;m++){c.push(s.length);var h=e._ptr[m],d=e._ptr[m+1];if(a)for(var y=h;y<d;y++){var g=e._index[y];t<=g&&g<=r&&p(e._values[y],g-t,m-n)}else{for(var v={},x=h;x<d;x++){var b=e._index[x];v[b]=e._values[x]}for(var w=t;w<=r;w++){var N=w in v?v[w]:0;p(N,w-t,m-n)}}}return c.push(s.length),new A({values:s,index:u,ptr:c,size:[r-t+1,i-n+1]})}(this,0,this._size[0]-1,0,this._size[1]-1,function(e,t,r){return n(e,[t,r],i)},e)},A.prototype.forEach=function(e,t){if(!this._values)throw new Error("Cannot invoke forEach on a Pattern only matrix");for(var r=this._size[0],n=this._size[1],i=0;i<n;i++){var o=this._ptr[i],a=this._ptr[i+1];if(t)for(var s=o;s<a;s++){var u=this._index[s];e(this._values[s],[u,i],this)}else{for(var c={},f=o;f<a;f++)c[this._index[f]]=this._values[f];for(var l=0;l<r;l++)e(l in c?c[l]:0,[l,i],this)}}},A.prototype.toArray=function(){return o(this._values,this._index,this._ptr,this._size,!0)},A.prototype.valueOf=function(){return o(this._values,this._index,this._ptr,this._size,!1)},A.prototype.format=function(e){for(var t=this._size[0],r=this._size[1],n=this.density(),i="Sparse Matrix ["+N.format(t,e)+" x "+N.format(r,e)+"] density: "+N.format(n,e)+"\n",o=0;o<r;o++)for(var a=this._ptr[o],s=this._ptr[o+1],u=a;u<s;u++){var c=this._index[u];i+="\n    ("+N.format(c,e)+", "+N.format(o,e)+") ==> "+(this._values?N.format(this._values[u],e):"X")}return i},A.prototype.toString=function(){return N.format(this.toArray())},A.prototype.toJSON=function(){return{mathjs:"SparseMatrix",values:this._values,index:this._index,ptr:this._ptr,size:this._size,datatype:this._datatype}},A.prototype.diagonal=function(e){if(e){if(b.isBigNumber(e)&&(e=e.toNumber()),!T(e)||!_(e))throw new TypeError("The parameter k must be an integer number")}else e=0;var t=0<e?e:0,r=e<0?-e:0,n=this._size[0],i=this._size[1],o=Math.min(n-r,i-t),a=[],s=[],u=[];u[0]=0;for(var c=t;c<i&&a.length<o;c++)for(var f=this._ptr[c],l=this._ptr[c+1],p=f;p<l;p++){var m=this._index[p];if(m===c-t+r){a.push(this._values[p]),s[a.length-1]=m-r;break}}return u.push(a.length),new A({values:a,index:s,ptr:u,size:[o,1]})},A.fromJSON=function(e){return new A(e)},A.diagonal=function(e,t,r,n,i){if(!O(e))throw new TypeError("Array expected, size parameter");if(2!==e.length)throw new Error("Only two dimensions matrix are supported");if(e=e.map(function(e){if(b.isBigNumber(e)&&(e=e.toNumber()),!T(e)||!_(e)||e<1)throw new Error("Size values must be positive integers");return e}),r){if(b.isBigNumber(r)&&(r=r.toNumber()),!T(r)||!_(r))throw new TypeError("The parameter k must be an integer number")}else r=0;var o=E,a=0;C(i)&&(o=M.find(E,[i,i])||E,a=M.convert(0,i));var s,u=0<r?r:0,c=r<0?-r:0,f=e[0],l=e[1],p=Math.min(f-c,l-u);if(O(t)){if(t.length!==p)throw new Error("Invalid value array length");s=function(e){return t[e]}}else if(b.isMatrix(t)){var m=t.size();if(1!==m.length||m[0]!==p)throw new Error("Invalid matrix length");s=function(e){return t.get([e])}}else s=function(){return t};for(var h=[],d=[],y=[],g=0;g<l;g++){y.push(h.length);var v=g-u;if(0<=v&&v<p){var x=s(v);o(x,a)||(d.push(v+c),h.push(x))}}return y.push(h.length),new A({values:h,index:d,ptr:y,size:[f,l]})},A.prototype.swapRows=function(e,t){if(!(T(e)&&_(e)&&T(t)&&_(t)))throw new Error("Row index must be positive integers");if(2!==this._size.length)throw new Error("Only two dimensional matrix is supported");return B(e,this._size[0]),B(t,this._size[0]),A._swapRows(e,t,this._size[1],this._values,this._index,this._ptr),this},A._forEachRow=function(e,t,r,n,i){for(var o=n[e],a=n[e+1],s=o;s<a;s++)i(r[s],t[s])},A._swapRows=function(e,t,r,n,i,o){for(var a=0;a<r;a++){var s=o[a],u=o[a+1],c=g(e,s,u,i),f=g(t,s,u,i);if(c<u&&f<u&&i[c]===e&&i[f]===t){if(n){var l=n[c];n[c]=n[f],n[f]=l}}else if(c<u&&i[c]===e&&(u<=f||i[f]!==t)){var p=n?n[c]:void 0;i.splice(f,0,t),n&&n.splice(f,0,p),i.splice(f<=c?c+1:c,1),n&&n.splice(f<=c?c+1:c,1)}else if(f<u&&i[f]===t&&(u<=c||i[c]!==e)){var m=n?n[f]:void 0;i.splice(c,0,e),n&&n.splice(c,0,m),i.splice(c<=f?f+1:f,1),n&&n.splice(c<=f?f+1:f,1)}}},b.Matrix._storage.sparse=A},t.lazy=!1},function(e,t,o){"use strict";t.name="Spa",t.path="type",t.factory=function(e,t,r){var n=r(o(14)),c=r(o(11));function i(){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator");this._values=[],this._heap=new e.FibonacciHeap}return i.prototype.type="Spa",i.prototype.isSpa=!0,i.prototype.set=function(e,t){if(this._values[e])this._values[e].value=t;else{var r=this._heap.insert(e,t);this._values[e]=r}},i.prototype.get=function(e){var t=this._values[e];return t?t.value:0},i.prototype.accumulate=function(e,t){var r=this._values[e];r?r.value=n(r.value,t):(r=this._heap.insert(e,t),this._values[e]=r)},i.prototype.forEach=function(e,t,r){var n=this._heap,i=this._values,o=[],a=n.extractMinimum();for(a&&o.push(a);a&&a.key<=t;)a.key>=e&&(c(a.value,0)||r(a.key,a.value,this)),(a=n.extractMinimum())&&o.push(a);for(var s=0;s<o.length;s++){var u=o[s];i[(a=n.insert(u.key,u.value)).key]=a}},i.prototype.swap=function(e,t){var r=this._values[e],n=this._values[t];if(!r&&n)r=this._heap.insert(e,n.value),this._heap.remove(n),this._values[e]=r,this._values[t]=void 0;else if(r&&!n)n=this._heap.insert(t,r.value),this._heap.remove(r),this._values[t]=n,this._values[e]=void 0;else if(r&&n){var i=r.value;r.value=n.value,n.value=i}},i}},function(e,t,a){"use strict";t.name="FibonacciHeap",t.path="type",t.factory=function(e,t,r,n){var l=r(a(38)),p=r(a(33)),m=1/Math.log((1+Math.sqrt(5))/2);function i(){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator");this._minimum=null,this._size=0}function o(e,t,r){t.left.right=t.right,t.right.left=t.left,r.degree--,r.child===t&&(r.child=t.right),0===r.degree&&(r.child=null),t.left=e,t.right=e.right,((e.right=t).right.left=t).parent=null,t.mark=!1}i.prototype.type="FibonacciHeap",i.prototype.isFibonacciHeap=!0,i.prototype.insert=function(e,t){var r={key:e,value:t,degree:0};if(this._minimum){var n=this._minimum;r.left=n,r.right=n.right,(n.right=r).right.left=r,l(e,n.key)&&(this._minimum=r)}else(r.left=r).right=r,this._minimum=r;return this._size++,r},i.prototype.size=function(){return this._size},i.prototype.clear=function(){this._minimum=null,this._size=0},i.prototype.isEmpty=function(){return 0===this._size},i.prototype.extractMinimum=function(){var e=this._minimum;if(null===e)return e;for(var t=this._minimum,r=e.degree,n=e.child;0<r;){var i=n.right;n.left.right=n.right,n.right.left=n.left,n.left=t,n.right=t.right,((t.right=n).right.left=n).parent=null,n=i,r--}return e.left.right=e.right,e.right.left=e.left,t=e===e.right?null:function(e,t){var r,n=Math.floor(Math.log(t)*m)+1,i=new Array(n),o=0,a=e;if(a)for(o++,a=a.right;a!==e;)o++,a=a.right;for(;0<o;){for(var s=a.degree,u=a.right;r=i[s];){if(p(a.key,r.key)){var c=r;r=a,a=c}h(r,a),i[s]=null,s++}i[s]=a,a=u,o--}e=null;for(var f=0;f<n;f++)(r=i[f])&&(e?(r.left.right=r.right,r.right.left=r.left,r.left=e,r.right=e.right,(e.right=r).right.left=r,l(r.key,e.key)&&(e=r)):e=r);return e}(t=e.right,this._size),this._size--,this._minimum=t,e},i.prototype.remove=function(e){this._minimum=function(e,t,r){t.key=r;var n=t.parent;return n&&l(t.key,n.key)&&(o(e,t,n),function e(t,r){var n=r.parent;n&&(r.mark?(o(t,r,n),e(n)):r.mark=!0)}(e,n)),l(t.key,e.key)&&(e=t),e}(this._minimum,e,-1),this.extractMinimum()};var h=function(e,t){e.left.right=e.right,e.right.left=e.left,(e.parent=t).child?(e.left=t.child,e.right=t.child.right,(t.child.right=e).right.left=e):((t.child=e).right=e).left=e,t.degree++,e.mark=!1};return i}},function(e,t,a){"use strict";var s=a(31),r=s.string,u=s.object,c=Array.isArray,f=r.isString;t.name="ImmutableDenseMatrix",t.path="type",t.factory=function(n,e,t){var i=t(a(49)),r=t(a(38));function o(e,t){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");if(t&&!f(t))throw new Error("Invalid datatype: "+t);if(n.isMatrix(e)||c(e)){var r=new i(e,t);this._data=r._data,this._size=r._size,this._datatype=r._datatype,this._min=null,this._max=null}else if(e&&c(e.data)&&c(e.size))this._data=e.data,this._size=e.size,this._datatype=e.datatype,this._min=void 0!==e.min?e.min:null,this._max=void 0!==e.max?e.max:null;else{if(e)throw new TypeError("Unsupported type of data ("+s.types.type(e)+")");this._data=[],this._size=[0],this._datatype=t,this._min=null,this._max=null}}return(o.prototype=new i).type="ImmutableDenseMatrix",o.prototype.isImmutableDenseMatrix=!0,o.prototype.subset=function(e){switch(arguments.length){case 1:var t=i.prototype.subset.call(this,e);return n.isMatrix(t)?new o({data:t._data,size:t._size,datatype:t._datatype}):t;case 2:case 3:throw new Error("Cannot invoke set subset on an Immutable Matrix instance");default:throw new SyntaxError("Wrong number of arguments")}},o.prototype.set=function(){throw new Error("Cannot invoke set on an Immutable Matrix instance")},o.prototype.resize=function(){throw new Error("Cannot invoke resize on an Immutable Matrix instance")},o.prototype.reshape=function(){throw new Error("Cannot invoke reshape on an Immutable Matrix instance")},o.prototype.clone=function(){return new o({data:u.clone(this._data),size:u.clone(this._size),datatype:this._datatype})},o.prototype.toJSON=function(){return{mathjs:"ImmutableDenseMatrix",data:this._data,size:this._size,datatype:this._datatype}},o.fromJSON=function(e){return new o(e)},o.prototype.swapRows=function(){throw new Error("Cannot invoke swapRows on an Immutable Matrix instance")},o.prototype.min=function(){if(null===this._min){var t=null;this.forEach(function(e){(null===t||r(e,t))&&(t=e)}),this._min=null!==t?t:void 0}return this._min},o.prototype.max=function(){if(null===this._max){var t=null;this.forEach(function(e){(null===t||r(t,e))&&(t=e)}),this._max=null!==t?t:void 0}return this._max},o}},function(e,t,r){"use strict";t.name="index",t.factory=function(n,e,t,r){return r("index",{"...number | string | BigNumber | Range | Array | Matrix":function(e){var t=e.map(function(e){return n.isBigNumber(e)?e.toNumber():Array.isArray(e)||n.isMatrix(e)?e.map(function(e){return n.isBigNumber(e)?e.toNumber():e}):e}),r=new n.Index;return n.Index.apply(r,t),r}})}},function(e,t,r){"use strict";t.name="sparse",t.factory=function(e,t,r,n){var i=e.SparseMatrix,o=n("sparse",{"":function(){return new i([])},string:function(e){return new i([],e)},"Array | Matrix":function(e){return new i(e)},"Array | Matrix, string":function(e,t){return new i(e,t)}});return o.toTex={0:"\\begin{bsparse}\\end{bsparse}",1:"\\left(${args[0]}\\right)"},o}},function(e,t,r){"use strict";e.exports=[r(106)]},function(e,t,r){"use strict";var o=r(0),a=r(3);t.name="string",t.factory=function(e,t,r,n){var i=n("string",{"":function(){return""},number:a.format,null:function(e){return"null"},boolean:function(e){return e+""},string:function(e){return e},"Array | Matrix":function(e){return o(e,i)},any:function(e){return String(e)}});return i.toTex={0:'\\mathtt{""}',1:"\\mathrm{string}\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";e.exports=[r(193),r(194),r(195),r(196),r(197)]},function(e,t,Y){"use strict";function J(e){return(J="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}function W(){return(W=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var r=arguments[t];for(var n in r)Object.prototype.hasOwnProperty.call(r,n)&&(e[n]=r[n])}return e}).apply(this,arguments)}var X=Y(9).endsWith,Q=Y(5).clone,K=Y(107);t.name="Unit",t.path="type",t.factory=function(y,g,e,t,r){var v,x,b,c=e(Y(17)),f=e(Y(15)),l=e(Y(21)),p=e(Y(12)),m=e(Y(42)),h=e(Y(23)),d=e(Y(108)),w=e(Y(67)),N=e(Y(51)),i=e(Y(52)),s=e(Y(111)),M=e(Y(24)),n=e(Y(64)),o=e(Y(81));function E(e,t){if(!(this instanceof E))throw new Error("Constructor must be called with the new operator");if(null!=e&&!i(e)&&!y.isComplex(e))throw new TypeError("First parameter in Unit constructor must be number, BigNumber, Fraction, Complex, or undefined");if(void 0!==t&&("string"!=typeof t||""===t))throw new TypeError("Second parameter in Unit constructor must be a string");if(void 0!==t){var r=E.parse(t);this.units=r.units,this.dimensions=r.dimensions}else{this.units=[{unit:R,prefix:z.NONE,power:0}],this.dimensions=[];for(var n=0;n<I.length;n++)this.dimensions[n]=0}this.value=null!=e?this._normalize(e):null,this.fixPrefix=!1,this.skipAutomaticSimplification=!0}function A(){for(;" "===b||"\t"===b;)S()}function a(e){return"0"<=e&&e<="9"}function S(){x++,b=v.charAt(x)}function u(e){x=e,b=v.charAt(x)}function O(){var e,t="";if(e=x,"+"===b?S():"-"===b&&(t+=b,S()),!function(e){return"0"<=e&&e<="9"||"."===e}(b))return u(e),null;if("."===b){if(t+=b,S(),!a(b))return u(e),null}else{for(;a(b);)t+=b,S();"."===b&&(t+=b,S())}for(;a(b);)t+=b,S();if("E"===b||"e"===b){var r="",n=x;if(r+=b,S(),"+"!==b&&"-"!==b||(r+=b,S()),!a(b))return u(n),t;for(t+=r;a(b);)t+=b,S()}return t}function T(){for(var e="",t=v.charCodeAt(x);48<=t&&t<=57||65<=t&&t<=90||97<=t&&t<=122;)e+=b,S(),t=v.charCodeAt(x);return(65<=(t=e.charCodeAt(0))&&t<=90||97<=t&&t<=122)&&e||null}function _(e){return b===e?(S(),e):null}function C(e){if(q.hasOwnProperty(e)){var t=q[e];return{unit:t,prefix:t.prefixes[""]}}for(var r in q)if(q.hasOwnProperty(r)&&X(e,r)){var n=q[r],i=e.length-r.length,o=e.substring(0,i),a=n.prefixes.hasOwnProperty(o)?n.prefixes[o]:void 0;if(void 0!==a)return{unit:n,prefix:a}}return null}function B(e){return e.equalBase(k.NONE)&&null!==e.value&&!g.predictable?e.value:e}E.prototype.type="Unit",E.prototype.isUnit=!0,E.parse=function(e,t){if(t=t||{},x=-1,b="","string"!=typeof(v=e))throw new TypeError("Invalid argument in Unit.parse, string expected");var r=new E,n=1,i=!(r.units=[]);S(),A();var o=O(),a=null;o&&(a="BigNumber"===g.number?new y.BigNumber(o):"Fraction"===g.number?new y.Fraction(o):parseFloat(o),A(),_("*")?(n=1,i=!0):_("/")&&(n=-1,i=!0));for(var s=[],u=1;;){for(A();"("===b;)s.push(n),u*=n,n=1,S(),A();var c=void 0;if(!b)break;var f=b;if(null===(c=T()))throw new SyntaxError('Unexpected "'+f+'" in "'+v+'" at index '+x.toString());var l=C(c);if(null===l)throw new SyntaxError('Unit "'+c+'" not found.');var p=n*u;if(A(),_("^")){A();var m=O();if(null===m)throw new SyntaxError('In "'+e+'", "^" must be followed by a floating-point number');p*=m}r.units.push({unit:l.unit,prefix:l.prefix,power:p});for(var h=0;h<I.length;h++)r.dimensions[h]+=(l.unit.dimensions[h]||0)*p;for(A();")"===b;){if(0===s.length)throw new SyntaxError('Unmatched ")" in "'+v+'" at index '+x.toString());u/=s.pop(),S(),A()}if(i=!1,_("*")?(n=1,i=!0):_("/")?(n=-1,i=!0):n=1,l.unit.base){var d=l.unit.base.key;j.auto[d]={unit:l.unit,prefix:l.prefix}}}if(A(),b)throw new SyntaxError('Could not parse: "'+e+'"');if(i)throw new SyntaxError('Trailing characters: "'+e+'"');if(0!==s.length)throw new SyntaxError('Unmatched "(" in "'+v+'"');if(0===r.units.length&&!t.allowNoUnits)throw new SyntaxError('"'+e+'" contains no units');return r.value=void 0!==a?r._normalize(a):null,r},E.prototype.clone=function(){var e=new E;e.fixPrefix=this.fixPrefix,e.skipAutomaticSimplification=this.skipAutomaticSimplification,e.value=Q(this.value),e.dimensions=this.dimensions.slice(0),e.units=[];for(var t=0;t<this.units.length;t++)for(var r in e.units[t]={},this.units[t])this.units[t].hasOwnProperty(r)&&(e.units[t][r]=this.units[t][r]);return e},E.prototype._isDerived=function(){return 0!==this.units.length&&(1<this.units.length||1e-15<Math.abs(this.units[0].power-1))},E.prototype._normalize=function(e){var t,r,n,i,o;if(null==e||0===this.units.length)return e;if(this._isDerived()){var a=e;o=E._getNumberConverter(M(e));for(var s=0;s<this.units.length;s++)t=o(this.units[s].unit.value),i=o(this.units[s].prefix.value),n=o(this.units[s].power),a=l(a,m(l(t,i),n));return a}return t=(o=E._getNumberConverter(M(e)))(this.units[0].unit.value),r=o(this.units[0].unit.offset),i=o(this.units[0].prefix.value),l(c(e,r),l(t,i))},E.prototype._denormalize=function(e,t){var r,n,i,o,a;if(null==e||0===this.units.length)return e;if(this._isDerived()){var s=e;a=E._getNumberConverter(M(e));for(var u=0;u<this.units.length;u++)r=a(this.units[u].unit.value),o=a(this.units[u].prefix.value),i=a(this.units[u].power),s=p(s,m(l(r,o),i));return s}return r=(a=E._getNumberConverter(M(e)))(this.units[0].unit.value),o=a(this.units[0].prefix.value),n=a(this.units[0].unit.offset),f(p(p(e,r),null==t?o:t),n)},E.isValuelessUnit=function(e){return null!==C(e)},E.prototype.hasBase=function(e){if("string"==typeof e&&(e=k[e]),!e)return!1;for(var t=0;t<I.length;t++)if(1e-12<Math.abs((this.dimensions[t]||0)-(e.dimensions[t]||0)))return!1;return!0},E.prototype.equalBase=function(e){for(var t=0;t<I.length;t++)if(1e-12<Math.abs((this.dimensions[t]||0)-(e.dimensions[t]||0)))return!1;return!0},E.prototype.equals=function(e){return this.equalBase(e)&&N(this.value,e.value)},E.prototype.multiply=function(e){for(var t=this.clone(),r=0;r<I.length;r++)t.dimensions[r]=(this.dimensions[r]||0)+(e.dimensions[r]||0);for(var n=0;n<e.units.length;n++){var i={};for(var o in e.units[n])i[o]=e.units[n][o];t.units.push(i)}if(null!==this.value||null!==e.value){var a=null===this.value?this._normalize(1):this.value,s=null===e.value?e._normalize(1):e.value;t.value=l(a,s)}else t.value=null;return t.skipAutomaticSimplification=!1,B(t)},E.prototype.divide=function(e){for(var t=this.clone(),r=0;r<I.length;r++)t.dimensions[r]=(this.dimensions[r]||0)-(e.dimensions[r]||0);for(var n=0;n<e.units.length;n++){var i={};for(var o in e.units[n])i[o]=e.units[n][o];i.power=-i.power,t.units.push(i)}if(null!==this.value||null!==e.value){var a=null===this.value?this._normalize(1):this.value,s=null===e.value?e._normalize(1):e.value;t.value=p(a,s)}else t.value=null;return t.skipAutomaticSimplification=!1,B(t)},E.prototype.pow=function(e){for(var t=this.clone(),r=0;r<I.length;r++)t.dimensions[r]=(this.dimensions[r]||0)*e;for(var n=0;n<t.units.length;n++)t.units[n].power*=e;return null!==t.value?t.value=m(t.value,e):t.value=null,t.skipAutomaticSimplification=!1,B(t)},E.prototype.abs=function(){var e=this.clone();for(var t in e.value=null!==e.value?h(e.value):null,e.units)"VA"!==e.units[t].unit.name&&"VAR"!==e.units[t].unit.name||(e.units[t].unit=q.W);return e},E.prototype.to=function(e){var t,r=null===this.value?this._normalize(1):this.value;if("string"==typeof e){if(t=E.parse(e),!this.equalBase(t))throw new Error("Units do not match ('".concat(t.toString(),"' != '").concat(this.toString(),"')"));if(null!==t.value)throw new Error("Cannot convert to a unit with a value");return t.value=Q(r),t.fixPrefix=!0,t.skipAutomaticSimplification=!0,t}if(y.isUnit(e)){if(!this.equalBase(e))throw new Error("Units do not match ('".concat(e.toString(),"' != '").concat(this.toString(),"')"));if(null!==e.value)throw new Error("Cannot convert to a unit with a value");return(t=e.clone()).value=Q(r),t.fixPrefix=!0,t.skipAutomaticSimplification=!0,t}throw new Error("String or Unit expected as parameter")},E.prototype.toNumber=function(e){return n(this.toNumeric(e))},E.prototype.toNumeric=function(e){var t;return(t=e?this.to(e):this.clone())._isDerived()?t._denormalize(t.value):t._denormalize(t.value,t.units[0].prefix.value)},E.prototype.toString=function(){return this.format()},E.prototype.toJSON=function(){return{mathjs:"Unit",value:this._denormalize(this.value),unit:this.formatUnits(),fixPrefix:this.fixPrefix}},E.fromJSON=function(e){var t=new E(e.value,e.unit);return t.fixPrefix=e.fixPrefix||!1,t},E.prototype.valueOf=E.prototype.toString,E.prototype.simplify=function(){var e,t,r=this.clone(),n=[];for(var i in F)if(r.hasBase(k[i])){e=i;break}if("NONE"===e)r.units=[];else if(e&&F.hasOwnProperty(e)&&(t=F[e]),t)r.units=[{unit:t.unit,prefix:t.prefix,power:1}];else{for(var o=!1,a=0;a<I.length;a++){var s=I[a];1e-12<Math.abs(r.dimensions[a]||0)&&(F.hasOwnProperty(s)?n.push({unit:F[s].unit,prefix:F[s].prefix,power:r.dimensions[a]||0}):o=!0)}n.length<r.units.length&&!o&&(r.units=n)}return r},E.prototype.toSI=function(){for(var e=this.clone(),t=[],r=0;r<I.length;r++){var n=I[r];if(1e-12<Math.abs(e.dimensions[r]||0)){if(!j.si.hasOwnProperty(n))throw new Error("Cannot express custom unit "+n+" in SI units");t.push({unit:j.si[n].unit,prefix:j.si[n].prefix,power:e.dimensions[r]||0})}}return e.units=t,e.fixPrefix=!0,e.skipAutomaticSimplification=!0,e},E.prototype.formatUnits=function(){for(var e="",t="",r=0,n=0,i=0;i<this.units.length;i++)0<this.units[i].power?(r++,e+=" "+this.units[i].prefix.name+this.units[i].unit.name,1e-15<Math.abs(this.units[i].power-1)&&(e+="^"+this.units[i].power)):this.units[i].power<0&&n++;if(0<n)for(var o=0;o<this.units.length;o++)this.units[o].power<0&&(0<r?(t+=" "+this.units[o].prefix.name+this.units[o].unit.name,1e-15<Math.abs(this.units[o].power+1)&&(t+="^"+-this.units[o].power)):(t+=" "+this.units[o].prefix.name+this.units[o].unit.name,t+="^"+this.units[o].power));e=e.substr(1),t=t.substr(1),1<r&&0<n&&(e="("+e+")"),1<n&&0<r&&(t="("+t+")");var a=e;return 0<r&&0<n&&(a+=" / "),a+=t},E.prototype.format=function(e){var t=this.skipAutomaticSimplification||null===this.value?this.clone():this.simplify(),r=!1;for(var n in void 0!==t.value&&null!==t.value&&y.isComplex(t.value)&&(r=Math.abs(t.value.re)<1e-14),t.units)t.units[n].unit&&("VA"===t.units[n].unit.name&&r?t.units[n].unit=q.VAR:"VAR"!==t.units[n].unit.name||r||(t.units[n].unit=q.VA));1!==t.units.length||t.fixPrefix||Math.abs(t.units[0].power-Math.round(t.units[0].power))<1e-14&&(t.units[0].prefix=t._bestPrefix());var i=t._denormalize(t.value),o=null!==t.value?s(i,e||{}):"",a=t.formatUnits();return t.value&&y.isComplex(t.value)&&(o="("+o+")"),0<a.length&&0<o.length&&(o+=" "),o+=a},E.prototype._bestPrefix=function(){if(1!==this.units.length)throw new Error("Can only compute the best prefix for single units with integer powers, like kg, s^2, N^-1, and so forth!");if(1e-14<=Math.abs(this.units[0].power-Math.round(this.units[0].power)))throw new Error("Can only compute the best prefix for single units with integer powers, like kg, s^2, N^-1, and so forth!");var e=null!==this.value?h(this.value):0,t=h(this.units[0].unit.value),r=this.units[0].prefix;if(0===e)return r;var n=this.units[0].power,i=Math.log(e/Math.pow(r.value*t,n))/Math.LN10-1.2;if(-2.200001<i&&i<1.800001)return r;i=Math.abs(i);var o=this.units[0].unit.prefixes;for(var a in o)if(o.hasOwnProperty(a)){var s=o[a];if(s.scientific){var u=Math.abs(Math.log(e/Math.pow(s.value*t,n))/Math.LN10-1.2);(u<i||u===i&&s.name.length<r.name.length)&&(r=s,i=u)}}return r};var z={NONE:{"":{name:"",value:1,scientific:!0}},SHORT:{"":{name:"",value:1,scientific:!0},da:{name:"da",value:10,scientific:(E.prototype.splitUnit=function(e){for(var t=this.clone(),r=[],n=0;n<e.length&&(t=t.to(e[n]),n!==e.length-1);n++){var i=t.toNumeric(),o=w(i),a=new E(N(o,i)?o:d(t.toNumeric()),e[n].toString());r.push(a),t=f(t,a)}for(var s=0,u=0;u<r.length;u++)s=c(s,r[u].value);return N(s,this.value)&&(t.value=0),r.push(t),r},!1)},h:{name:"h",value:100,scientific:!1},k:{name:"k",value:1e3,scientific:!0},M:{name:"M",value:1e6,scientific:!0},G:{name:"G",value:1e9,scientific:!0},T:{name:"T",value:1e12,scientific:!0},P:{name:"P",value:1e15,scientific:!0},E:{name:"E",value:1e18,scientific:!0},Z:{name:"Z",value:1e21,scientific:!0},Y:{name:"Y",value:1e24,scientific:!0},d:{name:"d",value:.1,scientific:!1},c:{name:"c",value:.01,scientific:!1},m:{name:"m",value:.001,scientific:!0},u:{name:"u",value:1e-6,scientific:!0},n:{name:"n",value:1e-9,scientific:!0},p:{name:"p",value:1e-12,scientific:!0},f:{name:"f",value:1e-15,scientific:!0},a:{name:"a",value:1e-18,scientific:!0},z:{name:"z",value:1e-21,scientific:!0},y:{name:"y",value:1e-24,scientific:!0}},LONG:{"":{name:"",value:1,scientific:!0},deca:{name:"deca",value:10,scientific:!1},hecto:{name:"hecto",value:100,scientific:!1},kilo:{name:"kilo",value:1e3,scientific:!0},mega:{name:"mega",value:1e6,scientific:!0},giga:{name:"giga",value:1e9,scientific:!0},tera:{name:"tera",value:1e12,scientific:!0},peta:{name:"peta",value:1e15,scientific:!0},exa:{name:"exa",value:1e18,scientific:!0},zetta:{name:"zetta",value:1e21,scientific:!0},yotta:{name:"yotta",value:1e24,scientific:!0},deci:{name:"deci",value:.1,scientific:!1},centi:{name:"centi",value:.01,scientific:!1},milli:{name:"milli",value:.001,scientific:!0},micro:{name:"micro",value:1e-6,scientific:!0},nano:{name:"nano",value:1e-9,scientific:!0},pico:{name:"pico",value:1e-12,scientific:!0},femto:{name:"femto",value:1e-15,scientific:!0},atto:{name:"atto",value:1e-18,scientific:!0},zepto:{name:"zepto",value:1e-21,scientific:!0},yocto:{name:"yocto",value:1e-24,scientific:!0}},SQUARED:{"":{name:"",value:1,scientific:!0},da:{name:"da",value:100,scientific:!1},h:{name:"h",value:1e4,scientific:!1},k:{name:"k",value:1e6,scientific:!0},M:{name:"M",value:1e12,scientific:!0},G:{name:"G",value:1e18,scientific:!0},T:{name:"T",value:1e24,scientific:!0},P:{name:"P",value:1e30,scientific:!0},E:{name:"E",value:1e36,scientific:!0},Z:{name:"Z",value:1e42,scientific:!0},Y:{name:"Y",value:1e48,scientific:!0},d:{name:"d",value:.01,scientific:!1},c:{name:"c",value:1e-4,scientific:!1},m:{name:"m",value:1e-6,scientific:!0},u:{name:"u",value:1e-12,scientific:!0},n:{name:"n",value:1e-18,scientific:!0},p:{name:"p",value:1e-24,scientific:!0},f:{name:"f",value:1e-30,scientific:!0},a:{name:"a",value:1e-36,scientific:!0},z:{name:"z",value:1e-42,scientific:!0},y:{name:"y",value:1e-48,scientific:!0}},CUBIC:{"":{name:"",value:1,scientific:!0},da:{name:"da",value:1e3,scientific:!1},h:{name:"h",value:1e6,scientific:!1},k:{name:"k",value:1e9,scientific:!0},M:{name:"M",value:1e18,scientific:!0},G:{name:"G",value:1e27,scientific:!0},T:{name:"T",value:1e36,scientific:!0},P:{name:"P",value:1e45,scientific:!0},E:{name:"E",value:1e54,scientific:!0},Z:{name:"Z",value:1e63,scientific:!0},Y:{name:"Y",value:1e72,scientific:!0},d:{name:"d",value:.001,scientific:!1},c:{name:"c",value:1e-6,scientific:!1},m:{name:"m",value:1e-9,scientific:!0},u:{name:"u",value:1e-18,scientific:!0},n:{name:"n",value:1e-27,scientific:!0},p:{name:"p",value:1e-36,scientific:!0},f:{name:"f",value:1e-45,scientific:!0},a:{name:"a",value:1e-54,scientific:!0},z:{name:"z",value:1e-63,scientific:!0},y:{name:"y",value:1e-72,scientific:!0}},BINARY_SHORT_SI:{"":{name:"",value:1,scientific:!0},k:{name:"k",value:1e3,scientific:!0},M:{name:"M",value:1e6,scientific:!0},G:{name:"G",value:1e9,scientific:!0},T:{name:"T",value:1e12,scientific:!0},P:{name:"P",value:1e15,scientific:!0},E:{name:"E",value:1e18,scientific:!0},Z:{name:"Z",value:1e21,scientific:!0},Y:{name:"Y",value:1e24,scientific:!0}},BINARY_SHORT_IEC:{"":{name:"",value:1,scientific:!0},Ki:{name:"Ki",value:1024,scientific:!0},Mi:{name:"Mi",value:Math.pow(1024,2),scientific:!0},Gi:{name:"Gi",value:Math.pow(1024,3),scientific:!0},Ti:{name:"Ti",value:Math.pow(1024,4),scientific:!0},Pi:{name:"Pi",value:Math.pow(1024,5),scientific:!0},Ei:{name:"Ei",value:Math.pow(1024,6),scientific:!0},Zi:{name:"Zi",value:Math.pow(1024,7),scientific:!0},Yi:{name:"Yi",value:Math.pow(1024,8),scientific:!0}},BINARY_LONG_SI:{"":{name:"",value:1,scientific:!0},kilo:{name:"kilo",value:1e3,scientific:!0},mega:{name:"mega",value:1e6,scientific:!0},giga:{name:"giga",value:1e9,scientific:!0},tera:{name:"tera",value:1e12,scientific:!0},peta:{name:"peta",value:1e15,scientific:!0},exa:{name:"exa",value:1e18,scientific:!0},zetta:{name:"zetta",value:1e21,scientific:!0},yotta:{name:"yotta",value:1e24,scientific:!0}},BINARY_LONG_IEC:{"":{name:"",value:1,scientific:!0},kibi:{name:"kibi",value:1024,scientific:!0},mebi:{name:"mebi",value:Math.pow(1024,2),scientific:!0},gibi:{name:"gibi",value:Math.pow(1024,3),scientific:!0},tebi:{name:"tebi",value:Math.pow(1024,4),scientific:!0},pebi:{name:"pebi",value:Math.pow(1024,5),scientific:!0},exi:{name:"exi",value:Math.pow(1024,6),scientific:!0},zebi:{name:"zebi",value:Math.pow(1024,7),scientific:!0},yobi:{name:"yobi",value:Math.pow(1024,8),scientific:!0}},BTU:{"":{name:"",value:1,scientific:!0},MM:{name:"MM",value:1e6,scientific:!0}}};z.SHORTLONG=W(z.SHORT,z.LONG),z.BINARY_SHORT=W(z.BINARY_SHORT_SI,z.BINARY_SHORT_IEC),z.BINARY_LONG=W(z.BINARY_LONG_SI,z.BINARY_LONG_IEC);var I=["MASS","LENGTH","TIME","CURRENT","TEMPERATURE","LUMINOUS_INTENSITY","AMOUNT_OF_SUBSTANCE","ANGLE","BIT"],k={NONE:{dimensions:[0,0,0,0,0,0,0,0,0]},MASS:{dimensions:[1,0,0,0,0,0,0,0,0]},LENGTH:{dimensions:[0,1,0,0,0,0,0,0,0]},TIME:{dimensions:[0,0,1,0,0,0,0,0,0]},CURRENT:{dimensions:[0,0,0,1,0,0,0,0,0]},TEMPERATURE:{dimensions:[0,0,0,0,1,0,0,0,0]},LUMINOUS_INTENSITY:{dimensions:[0,0,0,0,0,1,0,0,0]},AMOUNT_OF_SUBSTANCE:{dimensions:[0,0,0,0,0,0,1,0,0]},FORCE:{dimensions:[1,1,-2,0,0,0,0,0,0]},SURFACE:{dimensions:[0,2,0,0,0,0,0,0,0]},VOLUME:{dimensions:[0,3,0,0,0,0,0,0,0]},ENERGY:{dimensions:[1,2,-2,0,0,0,0,0,0]},POWER:{dimensions:[1,2,-3,0,0,0,0,0,0]},PRESSURE:{dimensions:[1,-1,-2,0,0,0,0,0,0]},ELECTRIC_CHARGE:{dimensions:[0,0,1,1,0,0,0,0,0]},ELECTRIC_CAPACITANCE:{dimensions:[-1,-2,4,2,0,0,0,0,0]},ELECTRIC_POTENTIAL:{dimensions:[1,2,-3,-1,0,0,0,0,0]},ELECTRIC_RESISTANCE:{dimensions:[1,2,-3,-2,0,0,0,0,0]},ELECTRIC_INDUCTANCE:{dimensions:[1,2,-2,-2,0,0,0,0,0]},ELECTRIC_CONDUCTANCE:{dimensions:[-1,-2,3,2,0,0,0,0,0]},MAGNETIC_FLUX:{dimensions:[1,2,-2,-1,0,0,0,0,0]},MAGNETIC_FLUX_DENSITY:{dimensions:[1,0,-2,-1,0,0,0,0,0]},FREQUENCY:{dimensions:[0,0,-1,0,0,0,0,0,0]},ANGLE:{dimensions:[0,0,0,0,0,0,0,1,0]},BIT:{dimensions:[0,0,0,0,0,0,0,0,1]}};for(var P in k)k[P].key=P;var R={name:"",base:{},value:1,offset:0,dimensions:I.map(function(e){return 0})},q={meter:{name:"meter",base:k.LENGTH,prefixes:z.LONG,value:1,offset:0},inch:{name:"inch",base:k.LENGTH,prefixes:z.NONE,value:.0254,offset:0},foot:{name:"foot",base:k.LENGTH,prefixes:z.NONE,value:.3048,offset:0},yard:{name:"yard",base:k.LENGTH,prefixes:z.NONE,value:.9144,offset:0},mile:{name:"mile",base:k.LENGTH,prefixes:z.NONE,value:1609.344,offset:0},link:{name:"link",base:k.LENGTH,prefixes:z.NONE,value:.201168,offset:0},rod:{name:"rod",base:k.LENGTH,prefixes:z.NONE,value:5.0292,offset:0},chain:{name:"chain",base:k.LENGTH,prefixes:z.NONE,value:20.1168,offset:0},angstrom:{name:"angstrom",base:k.LENGTH,prefixes:z.NONE,value:1e-10,offset:0},m:{name:"m",base:k.LENGTH,prefixes:z.SHORT,value:1,offset:0},in:{name:"in",base:k.LENGTH,prefixes:z.NONE,value:.0254,offset:0},ft:{name:"ft",base:k.LENGTH,prefixes:z.NONE,value:.3048,offset:0},yd:{name:"yd",base:k.LENGTH,prefixes:z.NONE,value:.9144,offset:0},mi:{name:"mi",base:k.LENGTH,prefixes:z.NONE,value:1609.344,offset:0},li:{name:"li",base:k.LENGTH,prefixes:z.NONE,value:.201168,offset:0},rd:{name:"rd",base:k.LENGTH,prefixes:z.NONE,value:5.02921,offset:0},ch:{name:"ch",base:k.LENGTH,prefixes:z.NONE,value:20.1168,offset:0},mil:{name:"mil",base:k.LENGTH,prefixes:z.NONE,value:254e-7,offset:0},m2:{name:"m2",base:k.SURFACE,prefixes:z.SQUARED,value:1,offset:0},sqin:{name:"sqin",base:k.SURFACE,prefixes:z.NONE,value:64516e-8,offset:0},sqft:{name:"sqft",base:k.SURFACE,prefixes:z.NONE,value:.09290304,offset:0},sqyd:{name:"sqyd",base:k.SURFACE,prefixes:z.NONE,value:.83612736,offset:0},sqmi:{name:"sqmi",base:k.SURFACE,prefixes:z.NONE,value:2589988.110336,offset:0},sqrd:{name:"sqrd",base:k.SURFACE,prefixes:z.NONE,value:25.29295,offset:0},sqch:{name:"sqch",base:k.SURFACE,prefixes:z.NONE,value:404.6873,offset:0},sqmil:{name:"sqmil",base:k.SURFACE,prefixes:z.NONE,value:6.4516e-10,offset:0},acre:{name:"acre",base:k.SURFACE,prefixes:z.NONE,value:4046.86,offset:0},hectare:{name:"hectare",base:k.SURFACE,prefixes:z.NONE,value:1e4,offset:0},m3:{name:"m3",base:k.VOLUME,prefixes:z.CUBIC,value:1,offset:0},L:{name:"L",base:k.VOLUME,prefixes:z.SHORT,value:.001,offset:0},l:{name:"l",base:k.VOLUME,prefixes:z.SHORT,value:.001,offset:0},litre:{name:"litre",base:k.VOLUME,prefixes:z.LONG,value:.001,offset:0},cuin:{name:"cuin",base:k.VOLUME,prefixes:z.NONE,value:16387064e-12,offset:0},cuft:{name:"cuft",base:k.VOLUME,prefixes:z.NONE,value:.028316846592,offset:0},cuyd:{name:"cuyd",base:k.VOLUME,prefixes:z.NONE,value:.764554857984,offset:0},teaspoon:{name:"teaspoon",base:k.VOLUME,prefixes:z.NONE,value:5e-6,offset:0},tablespoon:{name:"tablespoon",base:k.VOLUME,prefixes:z.NONE,value:15e-6,offset:0},drop:{name:"drop",base:k.VOLUME,prefixes:z.NONE,value:5e-8,offset:0},gtt:{name:"gtt",base:k.VOLUME,prefixes:z.NONE,value:5e-8,offset:0},minim:{name:"minim",base:k.VOLUME,prefixes:z.NONE,value:6.161152e-8,offset:0},fluiddram:{name:"fluiddram",base:k.VOLUME,prefixes:z.NONE,value:36966911e-13,offset:0},fluidounce:{name:"fluidounce",base:k.VOLUME,prefixes:z.NONE,value:2957353e-11,offset:0},gill:{name:"gill",base:k.VOLUME,prefixes:z.NONE,value:.0001182941,offset:0},cc:{name:"cc",base:k.VOLUME,prefixes:z.NONE,value:1e-6,offset:0},cup:{name:"cup",base:k.VOLUME,prefixes:z.NONE,value:.0002365882,offset:0},pint:{name:"pint",base:k.VOLUME,prefixes:z.NONE,value:.0004731765,offset:0},quart:{name:"quart",base:k.VOLUME,prefixes:z.NONE,value:.0009463529,offset:0},gallon:{name:"gallon",base:k.VOLUME,prefixes:z.NONE,value:.003785412,offset:0},beerbarrel:{name:"beerbarrel",base:k.VOLUME,prefixes:z.NONE,value:.1173478,offset:0},oilbarrel:{name:"oilbarrel",base:k.VOLUME,prefixes:z.NONE,value:.1589873,offset:0},hogshead:{name:"hogshead",base:k.VOLUME,prefixes:z.NONE,value:.238481,offset:0},fldr:{name:"fldr",base:k.VOLUME,prefixes:z.NONE,value:36966911e-13,offset:0},floz:{name:"floz",base:k.VOLUME,prefixes:z.NONE,value:2957353e-11,offset:0},gi:{name:"gi",base:k.VOLUME,prefixes:z.NONE,value:.0001182941,offset:0},cp:{name:"cp",base:k.VOLUME,prefixes:z.NONE,value:.0002365882,offset:0},pt:{name:"pt",base:k.VOLUME,prefixes:z.NONE,value:.0004731765,offset:0},qt:{name:"qt",base:k.VOLUME,prefixes:z.NONE,value:.0009463529,offset:0},gal:{name:"gal",base:k.VOLUME,prefixes:z.NONE,value:.003785412,offset:0},bbl:{name:"bbl",base:k.VOLUME,prefixes:z.NONE,value:.1173478,offset:0},obl:{name:"obl",base:k.VOLUME,prefixes:z.NONE,value:.1589873,offset:0},g:{name:"g",base:k.MASS,prefixes:z.SHORT,value:.001,offset:0},gram:{name:"gram",base:k.MASS,prefixes:z.LONG,value:.001,offset:0},ton:{name:"ton",base:k.MASS,prefixes:z.SHORT,value:907.18474,offset:0},tonne:{name:"tonne",base:k.MASS,prefixes:z.SHORT,value:1e3,offset:0},grain:{name:"grain",base:k.MASS,prefixes:z.NONE,value:6479891e-11,offset:0},dram:{name:"dram",base:k.MASS,prefixes:z.NONE,value:.0017718451953125,offset:0},ounce:{name:"ounce",base:k.MASS,prefixes:z.NONE,value:.028349523125,offset:0},poundmass:{name:"poundmass",base:k.MASS,prefixes:z.NONE,value:.45359237,offset:0},hundredweight:{name:"hundredweight",base:k.MASS,prefixes:z.NONE,value:45.359237,offset:0},stick:{name:"stick",base:k.MASS,prefixes:z.NONE,value:.115,offset:0},stone:{name:"stone",base:k.MASS,prefixes:z.NONE,value:6.35029318,offset:0},gr:{name:"gr",base:k.MASS,prefixes:z.NONE,value:6479891e-11,offset:0},dr:{name:"dr",base:k.MASS,prefixes:z.NONE,value:.0017718451953125,offset:0},oz:{name:"oz",base:k.MASS,prefixes:z.NONE,value:.028349523125,offset:0},lbm:{name:"lbm",base:k.MASS,prefixes:z.NONE,value:.45359237,offset:0},cwt:{name:"cwt",base:k.MASS,prefixes:z.NONE,value:45.359237,offset:0},s:{name:"s",base:k.TIME,prefixes:z.SHORT,value:1,offset:0},min:{name:"min",base:k.TIME,prefixes:z.NONE,value:60,offset:0},h:{name:"h",base:k.TIME,prefixes:z.NONE,value:3600,offset:0},second:{name:"second",base:k.TIME,prefixes:z.LONG,value:1,offset:0},sec:{name:"sec",base:k.TIME,prefixes:z.LONG,value:1,offset:0},minute:{name:"minute",base:k.TIME,prefixes:z.NONE,value:60,offset:0},hour:{name:"hour",base:k.TIME,prefixes:z.NONE,value:3600,offset:0},day:{name:"day",base:k.TIME,prefixes:z.NONE,value:86400,offset:0},week:{name:"week",base:k.TIME,prefixes:z.NONE,value:604800,offset:0},month:{name:"month",base:k.TIME,prefixes:z.NONE,value:2629800,offset:0},year:{name:"year",base:k.TIME,prefixes:z.NONE,value:31557600,offset:0},decade:{name:"decade",base:k.TIME,prefixes:z.NONE,value:315576e3,offset:0},century:{name:"century",base:k.TIME,prefixes:z.NONE,value:315576e4,offset:0},millennium:{name:"millennium",base:k.TIME,prefixes:z.NONE,value:315576e5,offset:0},hertz:{name:"Hertz",base:k.FREQUENCY,prefixes:z.LONG,value:1,offset:0,reciprocal:!0},Hz:{name:"Hz",base:k.FREQUENCY,prefixes:z.SHORT,value:1,offset:0,reciprocal:!0},rad:{name:"rad",base:k.ANGLE,prefixes:z.SHORT,value:1,offset:0},radian:{name:"radian",base:k.ANGLE,prefixes:z.LONG,value:1,offset:0},deg:{name:"deg",base:k.ANGLE,prefixes:z.SHORT,value:null,offset:0},degree:{name:"degree",base:k.ANGLE,prefixes:z.LONG,value:null,offset:0},grad:{name:"grad",base:k.ANGLE,prefixes:z.SHORT,value:null,offset:0},gradian:{name:"gradian",base:k.ANGLE,prefixes:z.LONG,value:null,offset:0},cycle:{name:"cycle",base:k.ANGLE,prefixes:z.NONE,value:null,offset:0},arcsec:{name:"arcsec",base:k.ANGLE,prefixes:z.NONE,value:null,offset:0},arcmin:{name:"arcmin",base:k.ANGLE,prefixes:z.NONE,value:null,offset:0},A:{name:"A",base:k.CURRENT,prefixes:z.SHORT,value:1,offset:0},ampere:{name:"ampere",base:k.CURRENT,prefixes:z.LONG,value:1,offset:0},K:{name:"K",base:k.TEMPERATURE,prefixes:z.NONE,value:1,offset:0},degC:{name:"degC",base:k.TEMPERATURE,prefixes:z.NONE,value:1,offset:273.15},degF:{name:"degF",base:k.TEMPERATURE,prefixes:z.NONE,value:1/1.8,offset:459.67},degR:{name:"degR",base:k.TEMPERATURE,prefixes:z.NONE,value:1/1.8,offset:0},kelvin:{name:"kelvin",base:k.TEMPERATURE,prefixes:z.NONE,value:1,offset:0},celsius:{name:"celsius",base:k.TEMPERATURE,prefixes:z.NONE,value:1,offset:273.15},fahrenheit:{name:"fahrenheit",base:k.TEMPERATURE,prefixes:z.NONE,value:1/1.8,offset:459.67},rankine:{name:"rankine",base:k.TEMPERATURE,prefixes:z.NONE,value:1/1.8,offset:0},mol:{name:"mol",base:k.AMOUNT_OF_SUBSTANCE,prefixes:z.SHORT,value:1,offset:0},mole:{name:"mole",base:k.AMOUNT_OF_SUBSTANCE,prefixes:z.LONG,value:1,offset:0},cd:{name:"cd",base:k.LUMINOUS_INTENSITY,prefixes:z.NONE,value:1,offset:0},candela:{name:"candela",base:k.LUMINOUS_INTENSITY,prefixes:z.NONE,value:1,offset:0},N:{name:"N",base:k.FORCE,prefixes:z.SHORT,value:1,offset:0},newton:{name:"newton",base:k.FORCE,prefixes:z.LONG,value:1,offset:0},dyn:{name:"dyn",base:k.FORCE,prefixes:z.SHORT,value:1e-5,offset:0},dyne:{name:"dyne",base:k.FORCE,prefixes:z.LONG,value:1e-5,offset:0},lbf:{name:"lbf",base:k.FORCE,prefixes:z.NONE,value:4.4482216152605,offset:0},poundforce:{name:"poundforce",base:k.FORCE,prefixes:z.NONE,value:4.4482216152605,offset:0},kip:{name:"kip",base:k.FORCE,prefixes:z.LONG,value:4448.2216,offset:0},J:{name:"J",base:k.ENERGY,prefixes:z.SHORT,value:1,offset:0},joule:{name:"joule",base:k.ENERGY,prefixes:z.SHORT,value:1,offset:0},erg:{name:"erg",base:k.ENERGY,prefixes:z.NONE,value:1e-7,offset:0},Wh:{name:"Wh",base:k.ENERGY,prefixes:z.SHORT,value:3600,offset:0},BTU:{name:"BTU",base:k.ENERGY,prefixes:z.BTU,value:1055.05585262,offset:0},eV:{name:"eV",base:k.ENERGY,prefixes:z.SHORT,value:1602176565e-28,offset:0},electronvolt:{name:"electronvolt",base:k.ENERGY,prefixes:z.LONG,value:1602176565e-28,offset:0},W:{name:"W",base:k.POWER,prefixes:z.SHORT,value:1,offset:0},watt:{name:"watt",base:k.POWER,prefixes:z.LONG,value:1,offset:0},hp:{name:"hp",base:k.POWER,prefixes:z.NONE,value:745.6998715386,offset:0},VAR:{name:"VAR",base:k.POWER,prefixes:z.SHORT,value:o.I,offset:0},VA:{name:"VA",base:k.POWER,prefixes:z.SHORT,value:1,offset:0},Pa:{name:"Pa",base:k.PRESSURE,prefixes:z.SHORT,value:1,offset:0},psi:{name:"psi",base:k.PRESSURE,prefixes:z.NONE,value:6894.75729276459,offset:0},atm:{name:"atm",base:k.PRESSURE,prefixes:z.NONE,value:101325,offset:0},bar:{name:"bar",base:k.PRESSURE,prefixes:z.SHORTLONG,value:1e5,offset:0},torr:{name:"torr",base:k.PRESSURE,prefixes:z.NONE,value:133.322,offset:0},mmHg:{name:"mmHg",base:k.PRESSURE,prefixes:z.NONE,value:133.322,offset:0},mmH2O:{name:"mmH2O",base:k.PRESSURE,prefixes:z.NONE,value:9.80665,offset:0},cmH2O:{name:"cmH2O",base:k.PRESSURE,prefixes:z.NONE,value:98.0665,offset:0},coulomb:{name:"coulomb",base:k.ELECTRIC_CHARGE,prefixes:z.LONG,value:1,offset:0},C:{name:"C",base:k.ELECTRIC_CHARGE,prefixes:z.SHORT,value:1,offset:0},farad:{name:"farad",base:k.ELECTRIC_CAPACITANCE,prefixes:z.LONG,value:1,offset:0},F:{name:"F",base:k.ELECTRIC_CAPACITANCE,prefixes:z.SHORT,value:1,offset:0},volt:{name:"volt",base:k.ELECTRIC_POTENTIAL,prefixes:z.LONG,value:1,offset:0},V:{name:"V",base:k.ELECTRIC_POTENTIAL,prefixes:z.SHORT,value:1,offset:0},ohm:{name:"ohm",base:k.ELECTRIC_RESISTANCE,prefixes:z.SHORTLONG,value:1,offset:0},henry:{name:"henry",base:k.ELECTRIC_INDUCTANCE,prefixes:z.LONG,value:1,offset:0},H:{name:"H",base:k.ELECTRIC_INDUCTANCE,prefixes:z.SHORT,value:1,offset:0},siemens:{name:"siemens",base:k.ELECTRIC_CONDUCTANCE,prefixes:z.LONG,value:1,offset:0},S:{name:"S",base:k.ELECTRIC_CONDUCTANCE,prefixes:z.SHORT,value:1,offset:0},weber:{name:"weber",base:k.MAGNETIC_FLUX,prefixes:z.LONG,value:1,offset:0},Wb:{name:"Wb",base:k.MAGNETIC_FLUX,prefixes:z.SHORT,value:1,offset:0},tesla:{name:"tesla",base:k.MAGNETIC_FLUX_DENSITY,prefixes:z.LONG,value:1,offset:0},T:{name:"T",base:k.MAGNETIC_FLUX_DENSITY,prefixes:z.SHORT,value:1,offset:0},b:{name:"b",base:k.BIT,prefixes:z.BINARY_SHORT,value:1,offset:0},bits:{name:"bits",base:k.BIT,prefixes:z.BINARY_LONG,value:1,offset:0},B:{name:"B",base:k.BIT,prefixes:z.BINARY_SHORT,value:8,offset:0},bytes:{name:"bytes",base:k.BIT,prefixes:z.BINARY_LONG,value:8,offset:0}},U={meters:"meter",inches:"inch",feet:"foot",yards:"yard",miles:"mile",links:"link",rods:"rod",chains:"chain",angstroms:"angstrom",lt:"l",litres:"litre",liter:"litre",liters:"litre",teaspoons:"teaspoon",tablespoons:"tablespoon",minims:"minim",fluiddrams:"fluiddram",fluidounces:"fluidounce",gills:"gill",cups:"cup",pints:"pint",quarts:"quart",gallons:"gallon",beerbarrels:"beerbarrel",oilbarrels:"oilbarrel",hogsheads:"hogshead",gtts:"gtt",grams:"gram",tons:"ton",tonnes:"tonne",grains:"grain",drams:"dram",ounces:"ounce",poundmasses:"poundmass",hundredweights:"hundredweight",sticks:"stick",lb:"lbm",lbs:"lbm",kips:"kip",acres:"acre",hectares:"hectare",sqfeet:"sqft",sqyard:"sqyd",sqmile:"sqmi",sqmiles:"sqmi",mmhg:"mmHg",mmh2o:"mmH2O",cmh2o:"cmH2O",seconds:"second",secs:"second",minutes:"minute",mins:"minute",hours:"hour",hr:"hour",hrs:"hour",days:"day",weeks:"week",months:"month",years:"year",decades:"decade",centuries:"century",millennia:"millennium",hertz:"hertz",radians:"radian",degrees:"degree",gradians:"gradian",cycles:"cycle",arcsecond:"arcsec",arcseconds:"arcsec",arcminute:"arcmin",arcminutes:"arcmin",BTUs:"BTU",watts:"watt",joules:"joule",amperes:"ampere",coulombs:"coulomb",volts:"volt",ohms:"ohm",farads:"farad",webers:"weber",teslas:"tesla",electronvolts:"electronvolt",moles:"mole"};function D(e){if("BigNumber"===e.number){var t=K.pi(y.BigNumber);q.rad.value=new y.BigNumber(1),q.deg.value=t.div(180),q.grad.value=t.div(200),q.cycle.value=t.times(2),q.arcsec.value=t.div(648e3),q.arcmin.value=t.div(10800)}else q.rad.value=1,q.deg.value=Math.PI/180,q.grad.value=Math.PI/200,q.cycle.value=2*Math.PI,q.arcsec.value=Math.PI/648e3,q.arcmin.value=Math.PI/10800;q.radian.value=q.rad.value,q.degree.value=q.deg.value,q.gradian.value=q.grad.value}D(g),r.on("config",function(e,t){e.number!==t.number&&D(e)});var j={si:{NONE:{unit:R,prefix:z.NONE[""]},LENGTH:{unit:q.m,prefix:z.SHORT[""]},MASS:{unit:q.g,prefix:z.SHORT.k},TIME:{unit:q.s,prefix:z.SHORT[""]},CURRENT:{unit:q.A,prefix:z.SHORT[""]},TEMPERATURE:{unit:q.K,prefix:z.SHORT[""]},LUMINOUS_INTENSITY:{unit:q.cd,prefix:z.SHORT[""]},AMOUNT_OF_SUBSTANCE:{unit:q.mol,prefix:z.SHORT[""]},ANGLE:{unit:q.rad,prefix:z.SHORT[""]},BIT:{unit:q.bit,prefix:z.SHORT[""]},FORCE:{unit:q.N,prefix:z.SHORT[""]},ENERGY:{unit:q.J,prefix:z.SHORT[""]},POWER:{unit:q.W,prefix:z.SHORT[""]},PRESSURE:{unit:q.Pa,prefix:z.SHORT[""]},ELECTRIC_CHARGE:{unit:q.C,prefix:z.SHORT[""]},ELECTRIC_CAPACITANCE:{unit:q.F,prefix:z.SHORT[""]},ELECTRIC_POTENTIAL:{unit:q.V,prefix:z.SHORT[""]},ELECTRIC_RESISTANCE:{unit:q.ohm,prefix:z.SHORT[""]},ELECTRIC_INDUCTANCE:{unit:q.H,prefix:z.SHORT[""]},ELECTRIC_CONDUCTANCE:{unit:q.S,prefix:z.SHORT[""]},MAGNETIC_FLUX:{unit:q.Wb,prefix:z.SHORT[""]},MAGNETIC_FLUX_DENSITY:{unit:q.T,prefix:z.SHORT[""]},FREQUENCY:{unit:q.Hz,prefix:z.SHORT[""]}}};j.cgs=JSON.parse(JSON.stringify(j.si)),j.cgs.LENGTH={unit:q.m,prefix:z.SHORT.c},j.cgs.MASS={unit:q.g,prefix:z.SHORT[""]},j.cgs.FORCE={unit:q.dyn,prefix:z.SHORT[""]},j.cgs.ENERGY={unit:q.erg,prefix:z.NONE[""]},j.us=JSON.parse(JSON.stringify(j.si)),j.us.LENGTH={unit:q.ft,prefix:z.NONE[""]},j.us.MASS={unit:q.lbm,prefix:z.NONE[""]},j.us.TEMPERATURE={unit:q.degF,prefix:z.NONE[""]},j.us.FORCE={unit:q.lbf,prefix:z.NONE[""]},j.us.ENERGY={unit:q.BTU,prefix:z.BTU[""]},j.us.POWER={unit:q.hp,prefix:z.NONE[""]},j.us.PRESSURE={unit:q.psi,prefix:z.NONE[""]},j.auto=JSON.parse(JSON.stringify(j.si));var F=j.auto;for(var L in E.setUnitSystem=function(e){if(!j.hasOwnProperty(e))throw new Error("Unit system "+e+" does not exist. Choices are: "+Object.keys(j).join(", "));F=j[e]},E.getUnitSystem=function(){for(var e in j)if(j[e]===F)return e},E.typeConverters={BigNumber:function(e){return new y.BigNumber(e+"")},Fraction:function(e){return new y.Fraction(e)},Complex:function(e){return e},number:function(e){return e}},E._getNumberConverter=function(e){if(!E.typeConverters[e])throw new TypeError('Unsupported type "'+e+'"');return E.typeConverters[e]},q){var H=q[L];H.dimensions=H.base.dimensions}for(var $ in U)if(U.hasOwnProperty($)){var G=q[U[$]],V={};for(var Z in G)G.hasOwnProperty(Z)&&(V[Z]=G[Z]);V.name=$,q[$]=V}return E.createUnit=function(e,t){if("object"!==J(e))throw new TypeError("createUnit expects first parameter to be of type 'Object'");if(t&&t.override)for(var r in e)if(e.hasOwnProperty(r)&&E.deleteUnit(r),e[r].aliases)for(var n=0;n<e[r].aliases.length;n++)E.deleteUnit(e[r].aliases[n]);var i;for(var o in e)e.hasOwnProperty(o)&&(i=E.createUnitSingle(o,e[o]));return i},E.createUnitSingle=function(t,e,r){if(null==e&&(e={}),"string"!=typeof t)throw new TypeError("createUnitSingle expects first parameter to be of type 'string'");if(q.hasOwnProperty(t))throw new Error('Cannot create unit "'+t+'": a unit with that name already exists');!function(e){for(var t=0;t<e.length;t++){var r=e.charAt(t),n=function(e){return/^[a-zA-Z]$/.test(e)};if(0===t&&!n(r))throw new Error('Invalid unit name (must begin with alpha character): "'+e+'"');if(0<t&&!(n(r)||"0"<=(i=r)&&i<="9"))throw new Error('Invalid unit name (only alphanumeric characters are allowed): "'+e+'"')}var i}(t);var n,i,o=null,a=[],s=0;if(e&&"Unit"===e.type)o=e.clone();else if("string"==typeof e)""!==e&&(n=e);else{if("object"!==J(e))throw new TypeError('Cannot create unit "'+t+'" from "'+e.toString()+'": expecting "string" or "Unit" or "Object"');n=e.definition,i=e.prefixes,s=e.offset,e.aliases&&(a=e.aliases.valueOf())}if(a)for(var u=0;u<a.length;u++)if(q.hasOwnProperty(a[u]))throw new Error('Cannot create alias "'+a[u]+'": a unit with that name already exists');if(n&&"string"==typeof n&&!o)try{o=E.parse(n,{allowNoUnits:!0})}catch(e){throw e.message='Could not create unit "'+t+'" from "'+n+'": '+e.message,e}else n&&"Unit"===n.type&&(o=n.clone());a=a||[],s=s||0,i=i&&i.toUpperCase&&z[i.toUpperCase()]||z.NONE;var c={};if(o){var f=!(c={name:t,value:o.value,dimensions:o.dimensions.slice(0),prefixes:i,offset:s});for(var l in k)if(k.hasOwnProperty(l)){for(var p=!0,m=0;m<I.length;m++)if(1e-12<Math.abs((c.dimensions[m]||0)-(k[l].dimensions[m]||0))){p=!1;break}if(p){f=!0,c.base=k[l];break}}if(!f){var h=t+"_STUFF",d={dimensions:o.dimensions.slice(0)};d.key=h,k[h]=d,F[h]={unit:c,prefix:z.NONE[""]},c.base=k[h]}}else{var y=t+"_STUFF";if(0<=I.indexOf(y))throw new Error('Cannot create new base unit "'+t+'": a base unit with that name already exists (and cannot be overridden)');for(var g in I.push(y),k)k.hasOwnProperty(g)&&(k[g].dimensions[I.length-1]=0);for(var v={dimensions:[]},x=0;x<I.length;x++)v.dimensions[x]=0;v.dimensions[I.length-1]=1,v.key=y,k[y]=v,c={name:t,value:1,dimensions:k[y].dimensions.slice(0),prefixes:i,offset:s,base:k[y]},F[y]={unit:c,prefix:z.NONE[""]}}E.UNITS[t]=c;for(var b=0;b<a.length;b++){var w=a[b],N={};for(var M in c)c.hasOwnProperty(M)&&(N[M]=c[M]);N.name=w,E.UNITS[w]=N}return new E(null,t)},E.deleteUnit=function(e){delete E.UNITS[e]},E.PREFIXES=z,E.BASE_DIMENSIONS=I,E.BASE_UNITS=k,E.UNIT_SYSTEMS=j,E.UNITS=q,E},t.math=!0},function(e,t,r){"use strict";var o=r(0);t.name="unit",t.factory=function(r,e,t,n){var i=n("unit",{Unit:function(e){return e.clone()},string:function(e){return r.Unit.isValuelessUnit(e)?new r.Unit(null,e):r.Unit.parse(e,{allowNoUnits:!0})},"number | BigNumber | Fraction | Complex, string":function(e,t){return new r.Unit(e,t)},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\left(${args[0]}\\right)",2:"\\left(\\left(${args[0]}\\right)${args[1]}\\right)"},i}},function(e,t,r){"use strict";t.name="createUnit",t.factory=function(i,e,t,r){return r("createUnit",{"Object, Object":function(e,t){return i.Unit.createUnit(e,t)},Object:function(e){return i.Unit.createUnit(e,{})},"string, Unit | string | Object, Object":function(e,t,r){var n={};return n[e]=t,i.Unit.createUnit(n,r)},"string, Unit | string | Object":function(e,t){var r={};return r[e]=t,i.Unit.createUnit(r,{})},string:function(e){var t={};return t[e]={},i.Unit.createUnit(t,{})}})}},function(e,t,r){"use strict";t.name="splitUnit",t.factory=function(e,t,r,n){return n("splitUnit",{"Unit, Array":function(e,t){return e.splitUnit(t)}})}},function(e,t,r){"use strict";var n=r(5).lazy;function a(e,t,r){n(e,t,r),n(e.expression.mathWithTransform,t,r)}t.factory=function(r,e,t,n,i){function o(e){var t=r.Unit.parse(e);return t.fixPrefix=!0,t}a(i,"speedOfLight",function(){return o("299792458 m s^-1")}),a(i,"gravitationConstant",function(){return o("6.6738480e-11 m^3 kg^-1 s^-2")}),a(i,"planckConstant",function(){return o("6.626069311e-34 J s")}),a(i,"reducedPlanckConstant",function(){return o("1.05457172647e-34 J s")}),a(i,"magneticConstant",function(){return o("1.2566370614e-6 N A^-2")}),a(i,"electricConstant",function(){return o("8.854187817e-12 F m^-1")}),a(i,"vacuumImpedance",function(){return o("376.730313461 ohm")}),a(i,"coulomb",function(){return o("8.9875517873681764e9 N m^2 C^-2")}),a(i,"elementaryCharge",function(){return o("1.60217656535e-19 C")}),a(i,"bohrMagneton",function(){return o("9.2740096820e-24 J T^-1")}),a(i,"conductanceQuantum",function(){return o("7.748091734625e-5 S")}),a(i,"inverseConductanceQuantum",function(){return o("12906.403721742 ohm")}),a(i,"magneticFluxQuantum",function(){return o("2.06783375846e-15 Wb")}),a(i,"nuclearMagneton",function(){return o("5.0507835311e-27 J T^-1")}),a(i,"klitzing",function(){return o("25812.807443484 ohm")}),a(i,"bohrRadius",function(){return o("5.291772109217e-11 m")}),a(i,"classicalElectronRadius",function(){return o("2.817940326727e-15 m")}),a(i,"electronMass",function(){return o("9.1093829140e-31 kg")}),a(i,"fermiCoupling",function(){return o("1.1663645e-5 GeV^-2")}),a(i,"fineStructure",function(){return.007297352569824}),a(i,"hartreeEnergy",function(){return o("4.3597443419e-18 J")}),a(i,"protonMass",function(){return o("1.67262177774e-27 kg")}),a(i,"deuteronMass",function(){return o("3.3435830926e-27 kg")}),a(i,"neutronMass",function(){return o("1.6749271613e-27 kg")}),a(i,"quantumOfCirculation",function(){return o("3.636947552024e-4 m^2 s^-1")}),a(i,"rydberg",function(){return o("10973731.56853955 m^-1")}),a(i,"thomsonCrossSection",function(){return o("6.65245873413e-29 m^2")}),a(i,"weakMixingAngle",function(){return.222321}),a(i,"efimovFactor",function(){return 22.7}),a(i,"atomicMass",function(){return o("1.66053892173e-27 kg")}),a(i,"avogadro",function(){return o("6.0221412927e23 mol^-1")}),a(i,"boltzmann",function(){return o("1.380648813e-23 J K^-1")}),a(i,"faraday",function(){return o("96485.336521 C mol^-1")}),a(i,"firstRadiation",function(){return o("3.7417715317e-16 W m^2")}),a(i,"loschmidt",function(){return o("2.686780524e25 m^-3")}),a(i,"gasConstant",function(){return o("8.314462175 J K^-1 mol^-1")}),a(i,"molarPlanckConstant",function(){return o("3.990312717628e-10 J s mol^-1")}),a(i,"molarVolume",function(){return o("2.241396820e-10 m^3 mol^-1")}),a(i,"sackurTetrode",function(){return-1.164870823}),a(i,"secondRadiation",function(){return o("1.438777013e-2 m K")}),a(i,"stefanBoltzmann",function(){return o("5.67037321e-8 W m^-2 K^-4")}),a(i,"wienDisplacement",function(){return o("2.897772126e-3 m K")}),a(i,"molarMass",function(){return o("1e-3 kg mol^-1")}),a(i,"molarMassC12",function(){return o("1.2e-2 kg mol^-1")}),a(i,"gravity",function(){return o("9.80665 m s^-2")}),a(i,"planckLength",function(){return o("1.61619997e-35 m")}),a(i,"planckMass",function(){return o("2.1765113e-8 kg")}),a(i,"planckTime",function(){return o("5.3910632e-44 s")}),a(i,"planckCharge",function(){return o("1.87554595641e-18 C")}),a(i,"planckTemperature",function(){return o("1.41683385e+32 K")})},t.lazy=!1,t.math=!0},function(e,t,u){"use strict";var n=u(5),c=u(107);function f(e,t,r){e[t]=r,e.expression.mathWithTransform[t]=r}function l(e,t,r){n.lazy(e,t,r),n.lazy(e.expression.mathWithTransform,t,r)}t.factory=function r(n,i,o,a,s){s.on("config",function(e,t){e.number!==t.number&&r(n,i,o,a,s)}),f(s,"true",!0),f(s,"false",!1),f(s,"null",null),f(s,"uninitialized","Error: Constant uninitialized is removed since v4.0.0. Use null instead"),"BigNumber"===i.number?(f(s,"Infinity",new n.BigNumber(1/0)),f(s,"NaN",new n.BigNumber(NaN)),l(s,"pi",function(){return c.pi(n.BigNumber)}),l(s,"tau",function(){return c.tau(n.BigNumber)}),l(s,"e",function(){return c.e(n.BigNumber)}),l(s,"phi",function(){return c.phi(n.BigNumber)}),l(s,"E",function(){return s.e}),l(s,"LN2",function(){return new n.BigNumber(2).ln()}),l(s,"LN10",function(){return new n.BigNumber(10).ln()}),l(s,"LOG2E",function(){return new n.BigNumber(1).div(new n.BigNumber(2).ln())}),l(s,"LOG10E",function(){return new n.BigNumber(1).div(new n.BigNumber(10).ln())}),l(s,"PI",function(){return s.pi}),l(s,"SQRT1_2",function(){return new n.BigNumber("0.5").sqrt()}),l(s,"SQRT2",function(){return new n.BigNumber(2).sqrt()})):(f(s,"Infinity",1/0),f(s,"NaN",NaN),f(s,"pi",Math.PI),f(s,"tau",2*Math.PI),f(s,"e",Math.E),f(s,"phi",1.618033988749895),f(s,"E",s.e),f(s,"LN2",Math.LN2),f(s,"LN10",Math.LN10),f(s,"LOG2E",Math.LOG2E),f(s,"LOG10E",Math.LOG10E),f(s,"PI",s.pi),f(s,"SQRT1_2",Math.SQRT1_2),f(s,"SQRT2",Math.SQRT2)),n.Complex&&f(s,"i",n.Complex.I),f(s,"version",u(199))},t.lazy=!1,t.math=!0},function(e,t){e.exports="5.8.0"},function(e,t,r){"use strict";e.exports=[r(201),r(222),r(243),r(256),r(260),r(264),r(267),r(271),r(291),r(301),r(304),r(312),r(314),r(319),r(321),r(347),r(349)]},function(e,t,r){"use strict";e.exports=[r(202),r(85),r(205),r(206),r(86),r(131),r(135),r(220),r(136)]},function(e,t,b){"use strict";t.name="derivative",t.factory=function(l,r,e,t){var n=e(b(44)),o=e(b(85)),p=e(b(51)),m=e(b(60)),i=e(b(24)),a=e(b(65)),s=e(b(58)),h=e(b(69)),d=e(b(59)),u=e(b(68)),f=e(b(54)),c=t("derivative",{"Node, SymbolNode, Object":function(e,t,r){var n={};g(n,e,t.name);var i=v(e,n);return r.simplify?o(i):i},"Node, SymbolNode":function(e,t){return c(e,t,{simplify:!0})},"string, SymbolNode":function(e,t){return c(n(e),t)},"string, SymbolNode, Object":function(e,t,r){return c(n(e),t,r)},"string, string":function(e,t){return c(n(e),n(t))},"string, string, Object":function(e,t,r){return c(n(e),n(t),r)},"Node, string":function(e,t){return c(e,n(t))},"Node, string, Object":function(e,t,r){return c(e,n(t),r)}});c._simplify=!0,c.toTex=function(e){return y.apply(null,e.args)};var y=t("_derivTex",{"Node, SymbolNode":function(e,t){return l.isConstantNode(e)&&"string"===i(e.value)?y(n(e.value).toString(),t.toString(),1):y(e.toString(),t.toString(),1)},"Node, ConstantNode":function(e,t){if("string"===i(t.value))return y(e,n(t.value));throw new Error("The second parameter to 'derivative' is a non-string constant")},"Node, SymbolNode, ConstantNode":function(e,t,r){return y(e.toString(),t.name,r.value)},"string, string, number":function(e,t,r){return(1===r?"{d\\over d"+t+"}":"{d^{"+r+"}\\over d"+t+"^{"+r+"}}")+"\\left[".concat(e,"\\right]")}}),g=t("constTag",{"Object, ConstantNode, string":function(e,t){return e[t]=!0},"Object, SymbolNode, string":function(e,t,r){return t.name!==r&&(e[t]=!0)},"Object, ParenthesisNode, string":function(e,t,r){return g(e,t.content,r)},"Object, FunctionAssignmentNode, string":function(e,t,r){return-1===t.params.indexOf(r)?e[t]=!0:g(e,t.expr,r)},"Object, FunctionNode | OperatorNode, string":function(e,t,r){if(0<t.args.length){for(var n=g(e,t.args[0],r),i=1;i<t.args.length;++i)n=g(e,t.args[i],r)&&n;if(n)return e[t]=!0}return!1}}),v=t("_derivative",{"ConstantNode, Object":function(e){return x(0)},"SymbolNode, Object":function(e,t){return void 0!==t[e]?x(0):x(1)},"ParenthesisNode, Object":function(e,t){return new u(v(e.content,t))},"FunctionAssignmentNode, Object":function(e,t){return void 0!==t[e]?x(0):v(e.expr,t)},"FunctionNode, Object":function(e,t){if(1!==e.args.length&&function(e){if("log"!==e.name&&"nthRoot"!==e.name&&"pow"!==e.name||2!==e.args.length){for(var t=0;t<e.args.length;++t)e.args[t]=x(0);throw e.compile().eval(),new Error("Expected TypeError, but none found")}}(e),void 0!==t[e])return x(0);var r,n,i,o,a=e.args[0],s=!1,u=!1;switch(e.name){case"cbrt":s=!0,n=new d("*","multiply",[x(3),new d("^","pow",[a,new d("/","divide",[x(2),x(3)])])]);break;case"sqrt":case"nthRoot":if(1===e.args.length)s=!0,n=new d("*","multiply",[x(2),new h("sqrt",[a])]);else if(2===e.args.length)return t[r=new d("/","divide",[x(1),e.args[1]])]=t[e.args[1]],v(new d("^","pow",[a,r]),t);break;case"log10":r=x(10);case"log":if(r||1!==e.args.length){if(1===e.args.length&&r||2===e.args.length&&void 0!==t[e.args[1]])n=new d("*","multiply",[a.clone(),new h("log",[r||e.args[1]])]),s=!0;else if(2===e.args.length)return v(new d("/","divide",[new h("log",[a]),new h("log",[e.args[1]])]),t)}else n=a.clone(),s=!0;break;case"pow":return t[r]=t[e.args[1]],v(new d("^","pow",[a,e.args[1]]),t);case"exp":n=new h("exp",[a.clone()]);break;case"sin":n=new h("cos",[a.clone()]);break;case"cos":n=new d("-","unaryMinus",[new h("sin",[a.clone()])]);break;case"tan":n=new d("^","pow",[new h("sec",[a.clone()]),x(2)]);break;case"sec":n=new d("*","multiply",[e,new h("tan",[a.clone()])]);break;case"csc":u=!0,n=new d("*","multiply",[e,new h("cot",[a.clone()])]);break;case"cot":u=!0,n=new d("^","pow",[new h("csc",[a.clone()]),x(2)]);break;case"asin":s=!0,n=new h("sqrt",[new d("-","subtract",[x(1),new d("^","pow",[a.clone(),x(2)])])]);break;case"acos":u=s=!0,n=new h("sqrt",[new d("-","subtract",[x(1),new d("^","pow",[a.clone(),x(2)])])]);break;case"atan":s=!0,n=new d("+","add",[new d("^","pow",[a.clone(),x(2)]),x(1)]);break;case"asec":s=!0,n=new d("*","multiply",[new h("abs",[a.clone()]),new h("sqrt",[new d("-","subtract",[new d("^","pow",[a.clone(),x(2)]),x(1)])])]);break;case"acsc":u=s=!0,n=new d("*","multiply",[new h("abs",[a.clone()]),new h("sqrt",[new d("-","subtract",[new d("^","pow",[a.clone(),x(2)]),x(1)])])]);break;case"acot":u=s=!0,n=new d("+","add",[new d("^","pow",[a.clone(),x(2)]),x(1)]);break;case"sinh":n=new h("cosh",[a.clone()]);break;case"cosh":n=new h("sinh",[a.clone()]);break;case"tanh":n=new d("^","pow",[new h("sech",[a.clone()]),x(2)]);break;case"sech":u=!0,n=new d("*","multiply",[e,new h("tanh",[a.clone()])]);break;case"csch":u=!0,n=new d("*","multiply",[e,new h("coth",[a.clone()])]);break;case"coth":u=!0,n=new d("^","pow",[new h("csch",[a.clone()]),x(2)]);break;case"asinh":s=!0,n=new h("sqrt",[new d("+","add",[new d("^","pow",[a.clone(),x(2)]),x(1)])]);break;case"acosh":s=!0,n=new h("sqrt",[new d("-","subtract",[new d("^","pow",[a.clone(),x(2)]),x(1)])]);break;case"atanh":s=!0,n=new d("-","subtract",[x(1),new d("^","pow",[a.clone(),x(2)])]);break;case"asech":u=s=!0,n=new d("*","multiply",[a.clone(),new h("sqrt",[new d("-","subtract",[x(1),new d("^","pow",[a.clone(),x(2)])])])]);break;case"acsch":u=s=!0,n=new d("*","multiply",[new h("abs",[a.clone()]),new h("sqrt",[new d("+","add",[new d("^","pow",[a.clone(),x(2)]),x(1)])])]);break;case"acoth":u=s=!0,n=new d("-","subtract",[x(1),new d("^","pow",[a.clone(),x(2)])]);break;case"abs":n=new d("/","divide",[new h(new f("abs"),[a.clone()]),a.clone()]);break;case"gamma":default:throw new Error('Function "'+e.name+'" is not supported by derivative, or a wrong number of arguments is passed')}o=s?(i="/","divide"):(i="*","multiply");var c=v(a,t);return u&&(c=new d("-","unaryMinus",[c])),new d(i,o,[c,n])},"OperatorNode, Object":function(e,r){if(void 0!==r[e])return x(0);if("+"===e.op)return new d(e.op,e.fn,e.args.map(function(e){return v(e,r)}));if("-"===e.op){if(e.isUnary())return new d(e.op,e.fn,[v(e.args[0],r)]);if(e.isBinary())return new d(e.op,e.fn,[v(e.args[0],r),v(e.args[1],r)])}if("*"===e.op){var t=e.args.filter(function(e){return void 0!==r[e]});if(0<t.length){var n=e.args.filter(function(e){return void 0===r[e]}),i=1===n.length?n[0]:new d("*","multiply",n),o=t.concat(v(i,r));return new d("*","multiply",o)}return new d("+","add",e.args.map(function(t){return new d("*","multiply",e.args.map(function(e){return e===t?v(e,r):e.clone()}))}))}if("/"===e.op&&e.isBinary()){var a=e.args[0],s=e.args[1];return void 0!==r[s]?new d("/","divide",[v(a,r),s]):void 0!==r[a]?new d("*","multiply",[new d("-","unaryMinus",[a]),new d("/","divide",[v(s,r),new d("^","pow",[s.clone(),x(2)])])]):new d("/","divide",[new d("-","subtract",[new d("*","multiply",[v(a,r),s.clone()]),new d("*","multiply",[a.clone(),v(s,r)])]),new d("^","pow",[s.clone(),x(2)])])}if("^"===e.op&&e.isBinary()){var u=e.args[0],c=e.args[1];if(void 0!==r[u])return l.isConstantNode(u)&&(m(u.value)||p(u.value,1))?x(0):new d("*","multiply",[e,new d("*","multiply",[new h("log",[u.clone()]),v(c.clone(),r)])]);if(void 0===r[c])return new d("*","multiply",[new d("^","pow",[u.clone(),c.clone()]),new d("+","add",[new d("*","multiply",[v(u,r),new d("/","divide",[c.clone(),u.clone()])]),new d("*","multiply",[v(c,r),new h("log",[u.clone()])])])]);if(l.isConstantNode(c)){if(m(c.value))return x(0);if(p(c.value,1))return v(u,r)}var f=new d("^","pow",[u.clone(),new d("-","subtract",[c,x(1)])]);return new d("*","multiply",[c.clone(),new d("*","multiply",[v(u,r),f])])}throw new Error('Operator "'+e.op+'" is not supported by derivative, or a wrong number of arguments is passed')}});function x(e,t){return new s(a(e,t||r.number))}return c}},function(e,t,a){"use strict";function s(e){return(s="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}var u=a(25).transform,c=a(13).setSafeProperty;t.factory=function(e,t,r,n){var i=r(a(22)),o=r(a(1));return function(e,t,r){try{if(Array.isArray(e))return o(e).subset(t,r).valueOf();if(e&&"function"==typeof e.subset)return e.subset(t,r);if("string"==typeof e)return i(e,t,r);if("object"!==s(e))throw new TypeError("Cannot apply index: unsupported type of object");if(!t.isObjectProperty())throw TypeError("Cannot apply a numeric index as object property");return c(e,t.getObjectProperty(),r),e}catch(e){throw u(e)}}}},function(e,t,r){"use strict";t.math=!0,t.name="resolve",t.path="algebra.simplify",t.factory=function(a,e,t,r,s){var u=s.expression.node.Node,c=s.expression.node.OperatorNode,f=s.expression.node.FunctionNode,l=s.expression.node.ParenthesisNode;return function t(e,r){if(!r)return e;if(a.isSymbolNode(e)){var n=r[e.name];if(n instanceof u)return t(n,r);if("number"==typeof n)return s.parse(String(n))}else{if(a.isOperatorNode(e)){var i=e.args.map(function(e){return t(e,r)});return new c(e.op,e.fn,i,e.implicit)}if(a.isParenthesisNode(e))return new l(t(e.content,r));if(a.isFunctionNode(e)){var o=e.args.map(function(e){return t(e,r)});return new f(e.name,o)}}return e}}},function(e,t,a){"use strict";t.name="rationalize",t.factory=function(e,t,r,n){var m=r(a(85)),h=r(a(126)),d=r(a(124)),i=r(a(128)),y=a(3),g=r(a(58)),v=r(a(59)),p=r(a(54)),o=n("rationalize",{string:function(e){return o(i(e),{},!1)},"string, boolean":function(e,t){return o(i(e),{},t)},"string, Object":function(e,t){return o(i(e),t,!1)},"string, Object, boolean":function(e,t,r){return o(i(e),t,r)},Node:function(e){return o(e,{},!1)},"Node, boolean":function(e,t){return o(e,{},t)},"Node, Object":function(e,t){return o(e,t,!1)},"Node, Object, boolean":function(e,t,r){var n=function(){var e=[h,{l:"n+n",r:"2*n"},{l:"n+-n",r:"0"},d,{l:"n*(n1^-1)",r:"n/n1"},{l:"n*n1^-n2",r:"n/n1^n2"},{l:"n1^-1",r:"1/n1"},{l:"n*(n1/n2)",r:"(n*n1)/n2"},{l:"1*n",r:"n"}],t=[{l:"(-n1)/(-n2)",r:"n1/n2"},{l:"(-n1)*(-n2)",r:"n1*n2"},{l:"n1--n2",r:"n1+n2"},{l:"n1-n2",r:"n1+(-n2)"},{l:"(n1+n2)*n3",r:"(n1*n3 + n2*n3)"},{l:"n1*(n2+n3)",r:"(n1*n2+n1*n3)"},{l:"c1*n + c2*n",r:"(c1+c2)*n"},{l:"c1*n + n",r:"(c1+1)*n"},{l:"c1*n - c2*n",r:"(c1-c2)*n"},{l:"c1*n - n",r:"(c1-1)*n"},{l:"v/c",r:"(1/c)*v"},{l:"v/-c",r:"-(1/c)*v"},{l:"-v*-c",r:"c*v"},{l:"-v*c",r:"-c*v"},{l:"v*-c",r:"-c*v"},{l:"v*c",r:"c*v"},{l:"-(-n1*n2)",r:"(n1*n2)"},{l:"-(n1*n2)",r:"(-n1*n2)"},{l:"-(-n1+n2)",r:"(n1-n2)"},{l:"-(n1+n2)",r:"(-n1-n2)"},{l:"(n1^n2)^n3",r:"(n1^(n2*n3))"},{l:"-(-n1/n2)",r:"(n1/n2)"},{l:"-(n1/n2)",r:"(-n1/n2)"}],r=[{l:"(n1/(n2/n3))",r:"((n1*n3)/n2)"},{l:"(n1/n2/n3)",r:"(n1/(n2*n3))"}],n={};return n.firstRules=e.concat(t,r),n.distrDivRules=[{l:"(n1/n2 + n3/n4)",r:"((n1*n4 + n3*n2)/(n2*n4))"},{l:"(n1/n2 + n3)",r:"((n1 + n3*n2)/n2)"},{l:"(n1 + n2/n3)",r:"((n1*n3 + n2)/n3)"}],n.sucDivRules=r,n.firstRulesAgain=e.concat(t),n.finalRules=[h,{l:"n*-n",r:"-n^2"},{l:"n*n",r:"n^2"},d,{l:"n*-n^n1",r:"-n^(n1+1)"},{l:"n*n^n1",r:"n^(n1+1)"},{l:"n^n1*-n^n2",r:"-n^(n1+n2)"},{l:"n^n1*n^n2",r:"n^(n1+n2)"},{l:"n^n1*-n",r:"-n^(n1+1)"},{l:"n^n1*n",r:"n^(n1+1)"},{l:"n^n1/-n",r:"-n^(n1-1)"},{l:"n^n1/n",r:"n^(n1-1)"},{l:"n/-n^n1",r:"-n^(1-n1)"},{l:"n/n^n1",r:"n^(1-n1)"},{l:"n^n1/-n^n2",r:"n^(n1-n2)"},{l:"n^n1/n^n2",r:"n^(n1-n2)"},{l:"n1+(-n2*n3)",r:"n1-n2*n3"},{l:"v*(-c)",r:"-c*v"},{l:"n1+-n2",r:"n1-n2"},{l:"v*c",r:"c*v"},{l:"(n1^n2)^n3",r:"(n1^(n2*n3))"}],n}(),i=function(e,t,r,n){var a=[],i=m(e,n,t,{exactFractions:!1}),s="+-*"+((r=!!r)?"/":"");!function e(t){var r=t.type;if("FunctionNode"===r)throw new Error("There is an unsolved function call");if("OperatorNode"===r)if("^"===t.op){if("unaryMinus"===t.args[1].fn&&(t=t.args[0]),"ConstantNode"!==t.args[1].type||!y.isInteger(parseFloat(t.args[1].value)))throw new Error("There is a non-integer exponent");e(t.args[0])}else{if(-1===s.indexOf(t.op))throw new Error("Operator "+t.op+" invalid in polynomial expression");for(var n=0;n<t.args.length;n++)e(t.args[n])}else if("SymbolNode"===r){var i=t.name,o=a.indexOf(i);-1===o&&a.push(i)}else if("ParenthesisNode"===r)e(t.content);else if("ConstantNode"!==r)throw new Error("type "+r+" is not allowed in polynomial expression")}(i);var o={};return o.expression=i,o.variables=a,o}(e,t,!0,n.firstRules),o=i.variables.length;if(e=i.expression,1<=o){var a,s;e=function e(t,r,n){var i=t.type,o=1<arguments.length;if("OperatorNode"===i&&t.isBinary()){var a,s=!1;if("^"===t.op&&("ParenthesisNode"!==t.args[0].type&&"OperatorNode"!==t.args[0].type||"ConstantNode"!==t.args[1].type||(a=parseFloat(t.args[1].value),s=2<=a&&y.isInteger(a))),s){if(2<a){var u=t.args[0],c=new v("^","pow",[t.args[0].cloneDeep(),new g(a-1)]);t=new v("*","multiply",[u,c])}else t=new v("*","multiply",[t.args[0],t.args[0].cloneDeep()]);o&&("content"===n?r.content=t:r.args[n]=t)}}if("ParenthesisNode"===i)e(t.content,t,"content");else if("ConstantNode"!==i&&"SymbolNode"!==i)for(var f=0;f<t.args.length;f++)e(t.args[f],t,f);if(!o)return t}(e);var u,c=!0,f=!1;for(e=m(e,n.firstRules,{},{exactFractions:!1});s=c?n.distrDivRules:n.sucDivRules,c=!c,(u=(e=m(e,s)).toString())!==a;)f=!0,a=u;f&&(e=m(e,n.firstRulesAgain,{},{exactFractions:!1})),e=m(e,n.finalRules,{},{exactFractions:!1})}var l=[],p={};return"OperatorNode"===e.type&&e.isBinary()&&"/"===e.op?(1===o&&(e.args[0]=x(e.args[0],l),e.args[1]=x(e.args[1])),r&&(p.numerator=e.args[0],p.denominator=e.args[1])):(1===o&&(e=x(e,l)),r&&(p.numerator=e,p.denominator=null)),r?(p.coefficients=l,p.variables=i.variables,p.expression=e,p):e}});function x(e,u){void 0===u&&(u=[]);var t={cte:1,oper:"+",fire:""},c=u[0]=0,f="";!function e(t,r,n){var i=t.type;if("FunctionNode"===i)throw new Error("There is an unsolved function call");if("OperatorNode"===i){if(-1==="+-*^".indexOf(t.op))throw new Error("Operator "+t.op+" invalid");if(null!==r){if(("unaryMinus"===t.fn||"pow"===t.fn)&&"add"!==r.fn&&"subtract"!==r.fn&&"multiply"!==r.fn)throw new Error("Invalid "+t.op+" placing");if(("subtract"===t.fn||"add"===t.fn||"multiply"===t.fn)&&"add"!==r.fn&&"subtract"!==r.fn)throw new Error("Invalid "+t.op+" placing");if(("subtract"===t.fn||"add"===t.fn||"unaryMinus"===t.fn)&&0!==n.noFil)throw new Error("Invalid "+t.op+" placing")}"^"!==t.op&&"*"!==t.op||(n.fire=t.op);for(var o=0;o<t.args.length;o++)"unaryMinus"===t.fn&&(n.oper="-"),"+"!==t.op&&"subtract"!==t.fn||(n.fire="",n.cte=1,n.oper=0===o?"+":t.op),n.noFil=o,e(t.args[o],t,n)}else if("SymbolNode"===i){if(t.name!==f&&""!==f)throw new Error("There is more than one variable");if(f=t.name,null===r)return void(u[1]=1);if("^"===r.op&&0!==n.noFil)throw new Error("In power the variable should be the first parameter");if("*"===r.op&&1!==n.noFil)throw new Error("In multiply the variable should be the second parameter");""!==n.fire&&"*"!==n.fire||(c<1&&(u[1]=0),u[1]+=n.cte*("+"===n.oper?1:-1),c=Math.max(1,c))}else{if("ConstantNode"!==i)throw new Error("Type "+i+" is not allowed");var a=parseFloat(t.value);if(null===r)return void(u[0]=a);if("^"===r.op){if(1!==n.noFil)throw new Error("Constant cannot be powered");if(!y.isInteger(a)||a<=0)throw new Error("Non-integer exponent is not allowed");for(var s=c+1;s<a;s++)u[s]=0;return c<a&&(u[a]=0),u[a]+=n.cte*("+"===n.oper?1:-1),void(c=Math.max(a,c))}n.cte=a,""===n.fire&&(u[0]+=n.cte*("+"===n.oper?1:-1))}}(e,null,t);for(var r,n=!0,i=c=u.length-1;0<=i;i--)if(0!==u[i]){var o=new g(n?u[i]:Math.abs(u[i])),a=u[i]<0?"-":"+";if(0<i){var s=new p(f);if(1<i){var l=new g(i);s=new v("^","pow",[s,l])}o=-1===u[i]&&n?new v("-","unaryMinus",[s]):1===Math.abs(u[i])?s:new v("*","multiply",[o,s])}r=n?o:"+"==a?new v("+","add",[r,o]):new v("-","subtract",[r,o]),n=!1}return n?new g(0):r}return o}},function(e,t,a){"use strict";t.name="qr",t.factory=function(e,t,r,n){var i=r(a(1)),x=r(a(43)),b=r(a(50)),w=r(a(60)),N=r(a(129)),M=r(a(130)),E=r(a(46)),A=r(a(71)),S=r(a(39)),O=r(a(17)),T=r(a(12)),_=r(a(21)),C=r(a(15));function o(e){var t,r,n,i=e._size[0],o=e._size[1],a=b([i],"dense"),s=a._data,u=e.clone(),c=u._data,f=x([i],"");for(n=0;n<Math.min(o,i);++n){var l=c[n][n],p=S(M(l)),m=A(p),h=0;for(t=n;t<i;t++)h=O(h,_(c[t][n],A(c[t][n])));var d=_(p,E(h));if(!w(d)){var y=C(l,d);for(t=n+(f[n]=1);t<i;t++)f[t]=T(c[t][n],y);var g=S(A(T(y,d))),v=void 0;for(r=n;r<o;r++){for(v=0,t=n;t<i;t++)v=O(v,_(A(f[t]),c[t][r]));for(v=_(v,g),t=n;t<i;t++)c[t][r]=_(C(c[t][r],_(f[t],v)),m)}for(t=0;t<i;t++){for(v=0,r=n;r<i;r++)v=O(v,_(s[t][r],f[r]));for(v=_(v,g),r=n;r<i;++r)s[t][r]=T(C(s[t][r],_(v,A(f[r]))),m)}}}for(t=0;t<i;++t)for(r=0;r<t&&r<o;++r){if(N(0,T(c[t][r],1e5)))throw new Error("math.qr(): unknown error - R is not lower triangular (element ("+t+", "+r+")  = "+c[t][r]+")");c[t][r]=_(c[t][r],0)}return{Q:a,R:u,toString:function(){return"Q: "+this.Q.toString()+"\nR: "+this.R.toString()}}}return n("qr",{DenseMatrix:function(e){return o(e)},SparseMatrix:function(e){return function(e){throw new Error("qr not implemented for sparse matrices yet")}()},Array:function(e){var t=o(i(e));return{Q:t.Q.valueOf(),R:t.R.valueOf()}}})}},function(e,t,n){"use strict";t.name="csSqr",t.path="algebra.sparse",t.factory=function(e,t,r){var c=r(n(208)),f=r(n(210)),l=r(n(211)),p=r(n(212)),m=r(n(213));return function(e,t,r){var n,i=t._ptr,o=t._size[1],a={};if(a.q=c(e,t),e&&!a.q)return null;if(r){var s=e?f(t,null,a.q,0):t;a.parent=l(s,1);var u=p(a.parent,o);if(a.cp=m(s,a.parent,u,1),s&&a.parent&&a.cp&&function(e,t){var r=e._ptr,n=e._index,i=e._size,o=i[0],a=i[1];t.pinv=[],t.leftmost=[];var s,u,c,f,l,p=t.parent,m=t.pinv,h=t.leftmost,d=[],y=o,g=o+a,v=o+2*a;for(u=0;u<a;u++)d[y+u]=-1,d[g+u]=-1,d[v+u]=0;for(s=0;s<o;s++)h[s]=-1;for(u=a-1;0<=u;u--)for(f=r[u],l=r[u+1],c=f;c<l;c++)h[n[c]]=u;for(s=o-1;0<=s;s--)(m[s]=-1)!==(u=h[s])&&(0==d[v+u]++&&(d[g+u]=s),d[0+s]=d[y+u],d[y+u]=s);for(t.lnz=0,t.m2=o,u=0;u<a;u++)if(s=d[y+u],t.lnz++,s<0&&(s=t.m2++),m[s]=u,!(--v[u]<=0)){t.lnz+=d[v+u];var x=p[u];-1!==x&&(0===d[v+x]&&(d[g+x]=d[g+u]),d[0+d[g+u]]=d[y+x],d[y+x]=d[0+s],d[v+x]+=d[v+u])}for(s=0;s<o;s++)m[s]<0&&(m[s]=u++);return!0}(s,a))for(n=a.unz=0;n<o;n++)a.unz+=a.cp[n]}else a.unz=4*i[o]+o,a.lnz=a.unz;return a}}},function(e,t,n){"use strict";t.name="csAmd",t.path="algebra.sparse",t.factory=function(e,t,r){var K=r(n(87)),ee=r(n(209)),te=r(n(132)),re=r(n(14)),ne=r(n(10)),ie=r(n(72));function oe(e,t,r,n,i){if(e<2||e+t<0){for(var o=0;o<i;o++)0!==r[n+o]&&(r[n+o]=1);e=2}return e}function ae(e,t){return e!==t}return function(e,t){if(!t||e<=0||3<e)return null;var r=t._size,n=r[0],i=r[1],o=0,a=Math.max(16,10*Math.sqrt(i)),s=function(e,t,r,n,i){var o=ie(t);if(1===e&&n===r)return re(t,o);if(2!==e)return ne(o,t);for(var a=o._index,s=o._ptr,u=0,c=0;c<r;c++){var f=s[c];if(s[c]=u,!(s[c+1]-f>i))for(var l=s[c+1];f<l;f++)a[u++]=a[f]}return s[r]=u,t=ie(o),ne(o,t)}(e,t,n,i,a=Math.min(i-2,a));ee(s,ae,null);for(var u,c,f,l,p,m,h,d,y,g,v,x,b,w,N,M,E=s._index,A=s._ptr,S=A[i],O=[],T=[],_=i+1,C=2*(i+1),B=3*(i+1),z=4*(i+1),I=5*(i+1),k=6*(i+1),P=7*(i+1),R=O,q=function(e,t,r,n,i,o,a,s,u,c,f,l){for(var p=0;p<e;p++)r[n+p]=t[p+1]-t[p];for(var m=r[n+e]=0;m<=e;m++)r[i+m]=-1,o[m]=-1,r[a+m]=-1,r[s+m]=-1,r[u+m]=1,r[c+m]=1,r[f+m]=0,r[l+m]=r[n+m];var h=oe(0,0,r,c,e);return r[f+e]=-2,t[e]=-1,r[c+e]=0,h}(i,A,T,0,B,R,C,P,_,k,z,I),U=function(e,t,r,n,i,o,a,s,u,c,f){for(var l=0,p=0;p<e;p++){var m=r[n+p];if(0===m)r[i+p]=-2,l++,t[p]=-1,r[o+p]=0;else if(a<m)r[s+p]=0,r[i+p]=-1,l++,t[p]=K(e),r[s+e]++;else{var h=r[u+m];-1!==h&&(c[h]=p),r[f+p]=r[u+m],r[u+m]=p}}return l}(i,A,T,I,z,k,a,_,B,R,C),D=0;U<i;){for(f=-1;D<i&&-1===(f=T[B+D]);D++);-1!==T[C+f]&&(R[T[C+f]]=-1),T[B+D]=T[C+f];var j=T[z+f],F=T[_+f];U+=F;var L=0;T[_+f]=-F;var H=A[f],$=0===j?H:S,G=$;for(l=1;l<=j+1;l++){for(d=j<l?(h=H,T[0+(m=f)]-j):(h=A[m=E[H++]],T[0+m]),p=1;p<=d;p++)(y=T[_+(u=E[h++])])<=0||(L+=y,T[_+u]=-y,-1!==T[C+(E[G++]=u)]&&(R[T[C+u]]=R[u]),-1!==R[u]?T[C+R[u]]=T[C+u]:T[B+T[I+u]]=T[C+u]);m!==f&&(A[m]=K(f),T[k+m]=0)}for(0!==j&&(S=G),T[I+f]=L,A[f]=$,T[0+f]=G-$,T[z+f]=-2,q=oe(q,o,T,k,i),g=$;g<G;g++)if(!((v=T[z+(u=E[g])])<=0)){var V=q-(y=-T[_+u]);for(H=A[u],x=A[u]+v-1;H<=x;H++)T[k+(m=E[H])]>=q?T[k+m]-=y:0!==T[k+m]&&(T[k+m]=T[I+m]+V)}for(g=$;g<G;g++){for(b=(x=A[u=E[g]])+T[z+u]-1,M=N=0,H=w=x;H<=b;H++)if(0!==T[k+(m=E[H])]){var Z=T[k+m]-q;0<Z?(M+=Z,N+=E[w++]=m):(A[m]=K(f),T[k+m]=0)}T[z+u]=w-x+1;var Y=w,J=x+T[0+u];for(H=1+b;H<J;H++){var W=T[_+(c=E[H])];W<=0||(M+=W,N+=E[w++]=c)}0===M?(A[u]=K(f),L-=y=-T[_+u],F+=y,U+=y,T[_+u]=0,T[z+u]=-1):(T[I+u]=Math.min(T[I+u],M),E[w]=E[Y],E[Y]=E[x],E[x]=f,T[0+u]=w-x+1,N=(N<0?-N:N)%i,T[C+u]=T[P+N],R[T[P+N]=u]=N)}for(T[I+f]=L,q=oe(q+(o=Math.max(o,L)),o,T,k,i),g=$;g<G;g++)if(!(0<=T[_+(u=E[g])]))for(u=T[P+(N=R[u])],T[P+N]=-1;-1!==u&&-1!==T[C+u];u=T[C+u],q++){for(d=T[0+u],v=T[z+u],H=A[u]+1;H<=A[u]+d-1;H++)T[k+E[H]]=q;var X=u;for(c=T[C+u];-1!==c;){var Q=T[0+c]===d&&T[z+c]===v;for(H=A[c]+1;Q&&H<=A[c]+d-1;H++)T[k+E[H]]!==q&&(Q=0);Q?(A[c]=K(u),T[_+u]+=T[_+c],T[_+c]=0,T[z+c]=-1,c=T[C+c],T[C+X]=c):c=T[C+(X=c)]}}for(g=H=$;g<G;g++)(y=-T[_+(u=E[g])])<=0||(T[_+u]=y,M=T[I+u]+L-y,-1!==T[B+(M=Math.min(M,i-U-y))]&&(R[T[B+M]]=u),T[C+u]=T[B+M],R[u]=-1,T[B+M]=u,D=Math.min(D,M),T[I+u]=M,E[H++]=u);T[_+f]=F,0==(T[0+f]=H-$)&&(A[f]=-1,T[k+f]=0),0!==j&&(S=H)}for(u=0;u<i;u++)A[u]=K(A[u]);for(c=0;c<=i;c++)T[B+c]=-1;for(c=i;0<=c;c--)0<T[_+c]||(T[C+c]=T[B+A[c]],T[B+A[c]]=c);for(m=i;0<=m;m--)T[_+m]<=0||-1!==A[m]&&(T[C+m]=T[B+A[m]],T[B+A[m]]=m);for(u=f=0;u<=i;u++)-1===A[u]&&(f=te(u,f,T,B,C,O,k));return O.splice(O.length-1,1),O}}},function(e,t,r){"use strict";t.name="csFkeep",t.path="algebra.sparse",t.factory=function(){return function(e,t,r){for(var n=e._values,i=e._index,o=e._ptr,a=e._size[1],s=0,u=0;u<a;u++){var c=o[u];for(o[u]=s;c<o[u+1];c++)t(i[c],u,n?n[c]:1,r)&&(i[s]=i[c],n&&(n[s]=n[c]),s++)}return o[a]=s,i.splice(s,i.length-s),n&&n.splice(s,n.length-s),s}}},function(e,t,r){"use strict";t.name="csPermute",t.path="algebra.sparse",t.factory=function(e){var w=e.SparseMatrix;return function(e,t,r,n){for(var i=e._values,o=e._index,a=e._ptr,s=e._size,u=e._datatype,c=s[0],f=s[1],l=n&&e._values?[]:null,p=[],m=[],h=0,d=0;d<f;d++){m[d]=h;for(var y=r?r[d]:d,g=a[y],v=a[y+1],x=g;x<v;x++){var b=t?t[o[x]]:o[x];p[h]=b,l&&(l[h]=i[x]),h++}}return m[f]=h,new w({values:l,index:p,ptr:m,size:[c,f],datatype:u})}}},function(e,t,r){"use strict";t.name="csEtree",t.path="algebra.sparse",t.factory=function(){return function(e,t){if(!e)return null;var r,n,i=e._index,o=e._ptr,a=e._size,s=a[0],u=a[1],c=[],f=[],l=u;if(t)for(r=0;r<s;r++)f[l+r]=-1;for(var p=0;p<u;p++){c[p]=-1,f[0+p]=-1;for(var m=o[p],h=o[p+1],d=m;d<h;d++){var y=i[d];for(r=t?f[l+y]:y;-1!==r&&r<p;r=n)n=f[0+r],f[0+r]=p,-1===n&&(c[r]=p);t&&(f[l+y]=p)}}return c}}},function(e,t,n){"use strict";t.name="csPost",t.path="algebra.sparse",t.factory=function(e,t,r){var u=r(n(132));return function(e,t){if(!e)return null;var r,n=0,i=[],o=[],a=t,s=2*t;for(r=0;r<t;r++)o[0+r]=-1;for(r=t-1;0<=r;r--)-1!==e[r]&&(o[a+r]=o[0+e[r]],o[0+e[r]]=r);for(r=0;r<t;r++)-1===e[r]&&(n=u(r,n,o,0,a,i,s));return i}}},function(e,t,n){"use strict";t.name="csCounts",t.path="algebra.sparse",t.factory=function(e,t,r){var S=r(n(72)),O=r(n(214));return function(e,t,r,n){if(!e||!t||!r)return null;var i,o,a,s,u,c,f,l=e._size,p=l[0],m=l[1],h=4*m+(n?m+p+1:0),d=[],y=m,g=2*m,v=3*m,x=4*m,b=5*m+1;for(a=0;a<h;a++)d[a]=-1;var w=[],N=S(e),M=N._index,E=N._ptr;for(a=0;a<m;a++)for(w[o=r[a]]=-1===d[v+o]?1:0;-1!==o&&-1===d[v+o];o=t[o])d[v+o]=a;if(n){for(a=0;a<m;a++)d[r[a]]=a;for(i=0;i<p;i++){for(a=m,c=E[i],f=E[i+1],u=c;u<f;u++)a=Math.min(a,d[M[u]]);d[b+i]=d[x+a],d[x+a]=i}}for(i=0;i<m;i++)d[0+i]=i;for(a=0;a<m;a++){for(-1!==t[o=r[a]]&&w[t[o]]--,s=n?d[x+a]:o;-1!==s;s=n?d[b+s]:-1)for(u=E[s];u<E[s+1];u++){i=M[u];var A=O(i,o,d,v,y,g,0);1<=A.jleaf&&w[o]++,2===A.jleaf&&w[A.q]--}-1!==t[o]&&(d[0+o]=t[o])}for(o=0;o<m;o++)-1!==t[o]&&(w[t[o]]+=w[o]);return w}}},function(e,t,r){"use strict";t.name="csLeaf",t.path="algebra.sparse",t.factory=function(){return function(e,t,r,n,i,o,a){var s,u,c,f,l=0;if(e<=t||r[n+t]<=r[i+e])return-1;if(r[i+e]=r[n+t],c=r[o+e],r[o+e]=t,-1===c)l=1,f=e;else{for(l=2,f=c;f!==r[a+f];f=r[a+f]);for(s=c;s!==f;s=u)u=r[a+s],r[a+s]=f}return{jleaf:l,q:f}}}},function(e,t,n){"use strict";t.name="csLu",t.path="algebra.sparse",t.factory=function(e,t,r){var O=r(n(23)),T=r(n(12)),_=r(n(10)),C=r(n(33)),B=r(n(88)),z=r(n(216)),I=e.SparseMatrix;return function(e,t,r){if(!e)return null;var n,i=e._size[1],o=100,a=100;t&&(n=t.q,o=t.lnz||o,a=t.unz||a);var s,u,c=[],f=[],l=[],p=new I({values:c,index:f,ptr:l,size:[i,i]}),m=[],h=[],d=[],y=new I({values:m,index:h,ptr:d,size:[i,i]}),g=[],v=[],x=[];for(s=0;s<i;s++)v[s]=0,g[s]=-1,l[s+1]=0;for(var b=a=o=0;b<i;b++){l[b]=o,d[b]=a;var w=n?n[b]:b,N=z(p,e,w,x,v,g,1),M=-1,E=-1;for(u=N;u<i;u++)if(g[s=x[u]]<0){var A=O(v[s]);C(A,E)&&(E=A,M=s)}else h[a]=g[s],m[a++]=v[s];if(-1===M||E<=0)return null;g[w]<0&&B(O(v[w]),_(E,r))&&(M=w);var S=v[M];for(h[a]=b,m[a++]=S,g[M]=b,f[o]=M,c[o++]=1,u=N;u<i;u++)g[s=x[u]]<0&&(f[o]=s,c[o++]=T(v[s],S)),v[s]=0}for(l[i]=o,d[i]=a,u=0;u<o;u++)f[u]=g[f[u]];return c.splice(o,c.length-o),f.splice(o,f.length-o),m.splice(a,m.length-a),h.splice(a,h.length-a),{L:p,U:y,pinv:g}}}},function(e,t,n){"use strict";t.name="csSpsolve",t.path="algebra.sparse",t.factory=function(e,t,r){var M=r(n(12)),E=r(n(10)),A=r(n(15)),S=r(n(217));return function(e,t,r,n,i,o,a){var s,u,c,f,l=e._values,p=e._index,m=e._ptr,h=e._size[1],d=t._values,y=t._index,g=t._ptr,v=S(e,t,r,n,o);for(s=v;s<h;s++)i[n[s]]=0;for(u=g[r],c=g[r+1],s=u;s<c;s++)i[y[s]]=d[s];for(var x=v;x<h;x++){var b=n[x],w=o?o[b]:b;if(!(w<0))for(u=m[w],c=m[w+1],i[b]=M(i[b],l[a?u:c-1]),s=a?u+1:u,f=a?c:c-1;s<f;s++){var N=p[s];i[N]=A(i[N],E(l[s],i[b]))}}return v}}},function(e,t,n){"use strict";t.name="csReach",t.path="algebra.sparse",t.factory=function(e,t,r){var d=r(n(218)),y=r(n(133)),g=r(n(134));return function(e,t,r,n,i){var o,a,s,u=e._ptr,c=e._size,f=t._index,l=t._ptr,p=c[1],m=p;for(a=l[r],s=l[r+1],o=a;o<s;o++){var h=f[o];y(u,h)||(m=d(h,e,m,n,i))}for(o=m;o<p;o++)g(u,n[o]);return m}}},function(e,t,n){"use strict";t.name="csDfs",t.path="algebra.sparse",t.factory=function(e,t,r){var h=r(n(133)),d=r(n(134)),y=r(n(219));return function(e,t,r,n,i){var o,a,s,u=t._index,c=t._ptr,f=t._size[1],l=0;for(n[0]=e;0<=l;){e=n[l];var p=i?i[e]:e;h(c,e)||(d(c,e),n[f+l]=p<0?0:y(c[p]));var m=1;for(a=n[f+l],s=p<0?0:y(c[p+1]);a<s;a++)if(o=u[a],!h(c,o)){n[f+l]=a,n[++l]=o,m=0;break}m&&(l--,n[--r]=e)}return r}}},function(e,t,i){"use strict";t.name="csUnflip",t.path="algebra.sparse",t.factory=function(e,t,r){var n=r(i(87));return function(e){return e<0?n(e):e}}},function(e,t,h){"use strict";var d=Array.isArray;t.name="lusolve",t.factory=function(t,e,r,n){var i=r(h(1)),o=r(h(86)),a=r(h(131)),s=r(h(221)),u=r(h(89)),c=r(h(136)),f=r(h(135)),l=n("lusolve",{"Array, Array | Matrix":function(e,t){e=i(e);var r=o(e);return m(r.L,r.U,r.p,null,t).valueOf()},"DenseMatrix, Array | Matrix":function(e,t){var r=o(e);return m(r.L,r.U,r.p,null,t)},"SparseMatrix, Array | Matrix":function(e,t){var r=o(e);return m(r.L,r.U,r.p,null,t)},"SparseMatrix, Array | Matrix, number, number":function(e,t,r,n){var i=a(e,r,n);return m(i.L,i.U,i.p,i.q,t)},"Object, Array | Matrix":function(e,t){return m(e.L,e.U,e.p,e.q,t)}}),p=function(e){if(t.isMatrix(e))return e;if(d(e))return i(e);throw new TypeError("Invalid Matrix LU decomposition")};function m(e,t,r,n,i){e=p(e),t=p(t),i=u(e,i,!1),r&&(i._data=s(r,i._data));var o=f(e,i),a=c(t,o);return n&&(a._data=s(n,a._data)),a}return l}},function(e,t,r){"use strict";t.name="csIpvec",t.path="algebra.sparse",t.factory=function(){return function(e,t){var r,n=t.length,i=[];if(e)for(r=0;r<n;r++)i[e[r]]=t[r];else for(r=0;r<n;r++)i[r]=t[r];return i}}},function(e,t,r){"use strict";e.exports=[r(23),r(14),r(17),r(223),r(109),r(224),r(45),r(137),r(225),r(226),r(227),r(228),r(108),r(110),r(229),r(230),r(231),r(90),r(233),r(234),r(235),r(236),r(10),r(237),r(238),r(239),r(42),r(67),r(130),r(46),r(240),r(15),r(39),r(241),r(242)]},function(e,t,n){"use strict";var i=n(0);var l=Math.cbrt||function(e){if(0===e)return e;var t,r=e<0;return r&&(e=-e),t=isFinite(e)?(e/((t=Math.exp(Math.log(e)/3))*t)+2*t)/3:e,r?-t:t};t.name="cbrt",t.factory=function(a,s,e,t){var o=e(n(39)),u=e(n(61)),c=e(n(1)),r=t("cbrt",{number:l,Complex:f,"Complex, boolean":f,BigNumber:function(e){return e.cbrt()},Unit:function(e){if(e.value&&a.isComplex(e.value)){var t=e.clone();return t.value=1,(t=t.pow(1/3)).value=f(e.value),t}var r,n=u(e.value);n&&(e.value=o(e.value)),r=a.isBigNumber(e.value)?new a.BigNumber(1).div(3):a.isFraction(e.value)?new a.Fraction(1,3):1/3;var i=e.pow(r);return n&&(i.value=o(i.value)),i},"Array | Matrix":function(e){return i(e,r,!0)}});function f(e,t){var r=e.arg()/3,n=e.abs(),i=new a.Complex(l(n),0).mul(new a.Complex(0,r).exp());if(t){var o=[i,new a.Complex(l(n),0).mul(new a.Complex(0,r+2*Math.PI/3).exp()),new a.Complex(l(n),0).mul(new a.Complex(0,r-2*Math.PI/3).exp())];return"Array"===s.matrix?o:c(o)}return i}return r.toTex={1:"\\sqrt[3]{${args[0]}}"},r}},function(e,t,r){"use strict";var o=r(0);t.name="cube",t.factory=function(e,t,r,n){var i=n("cube",{number:function(e){return e*e*e},Complex:function(e){return e.mul(e).mul(e)},BigNumber:function(e){return e.times(e).times(e)},Fraction:function(e){return e.pow(3)},"Array | Matrix":function(e){return o(e,i,!0)},Unit:function(e){return e.pow(3)}});return i.toTex={1:"\\left(${args[0]}\\right)^3"},i}},function(e,t,m){"use strict";t.name="dotMultiply",t.factory=function(e,t,r,n){var i=r(m(1)),o=r(m(21)),a=m(4),s=r(m(26)),u=r(m(138)),c=r(m(20)),f=r(m(7)),l=r(m(6)),p=n("dotMultiply",{"any, any":o,"SparseMatrix, SparseMatrix":function(e,t){return u(e,t,o,!1)},"SparseMatrix, DenseMatrix":function(e,t){return s(t,e,o,!0)},"DenseMatrix, SparseMatrix":function(e,t){return s(e,t,o,!1)},"DenseMatrix, DenseMatrix":function(e,t){return f(e,t,o)},"Array, Array":function(e,t){return p(i(e),i(t)).valueOf()},"Array, Matrix":function(e,t){return p(i(e),t)},"Matrix, Array":function(e,t){return p(e,i(t))},"SparseMatrix, any":function(e,t){return c(e,t,o,!1)},"DenseMatrix, any":function(e,t){return l(e,t,o,!1)},"any, SparseMatrix":function(e,t){return c(t,e,o,!0)},"any, DenseMatrix":function(e,t){return l(t,e,o,!0)},"Array, any":function(e,t){return l(i(e),t,o,!1).valueOf()},"any, Array":function(e,t){return l(i(t),e,o,!0).valueOf()}});return p.toTex={2:"\\left(${args[0]}".concat(a.operators.dotMultiply,"${args[1]}\\right)")},p}},function(e,t,h){"use strict";t.name="dotPow",t.factory=function(e,t,r,n){var i=r(h(1)),o=r(h(42)),a=h(4),s=r(h(18)),u=r(h(28)),c=r(h(20)),f=r(h(19)),l=r(h(7)),p=r(h(6)),m=n("dotPow",{"any, any":o,"SparseMatrix, SparseMatrix":function(e,t){return u(e,t,o,!1)},"SparseMatrix, DenseMatrix":function(e,t){return s(t,e,o,!0)},"DenseMatrix, SparseMatrix":function(e,t){return s(e,t,o,!1)},"DenseMatrix, DenseMatrix":function(e,t){return l(e,t,o)},"Array, Array":function(e,t){return m(i(e),i(t)).valueOf()},"Array, Matrix":function(e,t){return m(i(e),t)},"Matrix, Array":function(e,t){return m(e,i(t))},"SparseMatrix, any":function(e,t){return c(e,t,m,!1)},"DenseMatrix, any":function(e,t){return p(e,t,m,!1)},"any, SparseMatrix":function(e,t){return f(t,e,m,!0)},"any, DenseMatrix":function(e,t){return p(t,e,m,!0)},"Array, any":function(e,t){return p(i(e),t,m,!1).valueOf()},"any, Array":function(e,t){return p(i(t),e,m,!0).valueOf()}});return m.toTex={2:"\\left(${args[0]}".concat(a.operators.dotPow,"${args[1]}\\right)")},m}},function(e,t,r){"use strict";var o=r(0);t.name="exp",t.factory=function(e,t,r,n){var i=n("exp",{number:Math.exp,Complex:function(e){return e.exp()},BigNumber:function(e){return e.exp()},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\exp\\left(${args[0]}\\right)"},i}},function(e,t,a){"use strict";var s=a(0);t.name="expm1",t.factory=function(r,e,t,n){var i=a(4),o=n("expm1",{number:Math.expm1||function(e){return 2e-4<=e||e<=-2e-4?Math.exp(e)-1:e+e*e/2+e*e*e/6},Complex:function(e){var t=Math.exp(e.re);return new r.Complex(t*Math.cos(e.im)-1,t*Math.sin(e.im))},BigNumber:function(e){return e.exp().minus(1)},"Array | Matrix":function(e){return s(e,o)}});return o.toTex="\\left(e".concat(i.operators.pow,"{${args[0]}}-1\\right)"),o}},function(e,t,l){"use strict";var n=l(3).isInteger;function p(e,t){if(!n(e)||!n(t))throw new Error("Parameters in function gcd must be integer numbers");for(var r;0!==t;)r=e%t,e=t,t=r;return e<0?-e:e}t.name="gcd",t.factory=function(i,e,t,r){var n=t(l(1)),o=t(l(37)),a=t(l(84)),s=t(l(41)),u=t(l(7)),c=t(l(6)),f=r("gcd",{"number, number":p,"BigNumber, BigNumber":function(e,t){if(!e.isInt()||!t.isInt())throw new Error("Parameters in function gcd must be integer numbers");for(var r=new i.BigNumber(0);!t.isZero();){var n=e.mod(t);e=t,t=n}return e.lt(r)?e.neg():e},"Fraction, Fraction":function(e,t){return e.gcd(t)},"SparseMatrix, SparseMatrix":function(e,t){return a(e,t,f)},"SparseMatrix, DenseMatrix":function(e,t){return o(t,e,f,!0)},"DenseMatrix, SparseMatrix":function(e,t){return o(e,t,f,!1)},"DenseMatrix, DenseMatrix":function(e,t){return u(e,t,f)},"Array, Array":function(e,t){return f(n(e),n(t)).valueOf()},"Array, Matrix":function(e,t){return f(n(e),t)},"Matrix, Array":function(e,t){return f(e,n(t))},"SparseMatrix, number | BigNumber":function(e,t){return s(e,t,f,!1)},"DenseMatrix, number | BigNumber":function(e,t){return c(e,t,f,!1)},"number | BigNumber, SparseMatrix":function(e,t){return s(t,e,f,!0)},"number | BigNumber, DenseMatrix":function(e,t){return c(t,e,f,!0)},"Array, number | BigNumber":function(e,t){return c(n(e),t,f,!1).valueOf()},"number | BigNumber, Array":function(e,t){return c(n(t),e,f,!0).valueOf()},"Array | Matrix | number | BigNumber, Array | Matrix | number | BigNumber, ...Array | Matrix | number | BigNumber":function(e,t,r){for(var n=f(e,t),i=0;i<r.length;i++)n=f(n,r[i]);return n}});return f.toTex="\\gcd\\left(${args}\\right)",f}},function(e,t,p){"use strict";var m=p(2).flatten;t.name="hypot",t.factory=function(e,t,r,n){var o=r(p(23)),a=r(p(17)),s=r(p(12)),u=r(p(21)),c=r(p(46)),f=r(p(38)),l=r(p(73)),i=n("hypot",{"... number | BigNumber":function(e){for(var t=0,r=0,n=0;n<e.length;n++){var i=o(e[n]);f(r,i)?(t=u(t,u(s(r,i),s(r,i))),t=a(t,1),r=i):t=a(t,l(i)?u(s(i,r),s(i,r)):i)}return u(r,c(t))},Array:function(e){return i.apply(i,m(e))},Matrix:function(e){return i.apply(i,m(e.toArray()))}});return i.toTex="\\hypot\\left(${args}\\right)",i}},function(e,t,l){"use strict";var i=l(3).isInteger;function p(e,t){if(!i(e)||!i(t))throw new Error("Parameters in function lcm must be integer numbers");if(0===e||0===t)return 0;for(var r,n=e*t;0!==t;)t=e%(r=t),e=r;return Math.abs(n/e)}t.name="lcm",t.factory=function(i,e,t,r){var n=t(l(1)),o=t(l(26)),a=t(l(74)),s=t(l(20)),u=t(l(7)),c=t(l(6)),f=r("lcm",{"number, number":p,"BigNumber, BigNumber":function(e,t){if(!e.isInt()||!t.isInt())throw new Error("Parameters in function lcm must be integer numbers");if(e.isZero()||t.isZero())return new i.BigNumber(0);for(var r=e.times(t);!t.isZero();){var n=t;t=e.mod(n),e=n}return r.div(e).abs()},"Fraction, Fraction":function(e,t){return e.lcm(t)},"SparseMatrix, SparseMatrix":function(e,t){return a(e,t,f)},"SparseMatrix, DenseMatrix":function(e,t){return o(t,e,f,!0)},"DenseMatrix, SparseMatrix":function(e,t){return o(e,t,f,!1)},"DenseMatrix, DenseMatrix":function(e,t){return u(e,t,f)},"Array, Array":function(e,t){return f(n(e),n(t)).valueOf()},"Array, Matrix":function(e,t){return f(n(e),t)},"Matrix, Array":function(e,t){return f(e,n(t))},"SparseMatrix, number | BigNumber":function(e,t){return s(e,t,f,!1)},"DenseMatrix, number | BigNumber":function(e,t){return c(e,t,f,!1)},"number | BigNumber, SparseMatrix":function(e,t){return s(t,e,f,!0)},"number | BigNumber, DenseMatrix":function(e,t){return c(t,e,f,!0)},"Array, number | BigNumber":function(e,t){return c(n(e),t,f,!1).valueOf()},"number | BigNumber, Array":function(e,t){return c(n(t),e,f,!0).valueOf()},"Array | Matrix | number | BigNumber, Array | Matrix | number | BigNumber, ...Array | Matrix | number | BigNumber":function(e,t,r){for(var n=f(e,t),i=0;i<r.length;i++)n=f(n,r[i]);return n}});return f.toTex=void 0,f}},function(e,t,r){"use strict";e.exports=function(e,t,r,n,i,o,a,s,u,c,f){var l,p,m,h,d=e._values,y=e._index,g=e._ptr,v=a._index;if(n)for(p=g[t],m=g[t+1],l=p;l<m;l++)r[h=y[l]]!==o?(r[h]=o,v.push(h),c?(n[h]=u?s(d[l],f):s(f,d[l]),i[h]=o):n[h]=d[l]):(n[h]=u?s(d[l],n[h]):s(n[h],d[l]),i[h]=o);else for(p=g[t],m=g[t+1],l=p;l<m;l++)r[h=y[l]]!==o?(r[h]=o,v.push(h)):i[h]=o}},function(e,t,r){"use strict";var o=r(0);var a=Math.log10||function(e){return Math.log(e)/Math.LN10};t.name="log10",t.factory=function(t,r,e,n){var i=n("log10",{number:function(e){return 0<=e||r.predictable?a(e):new t.Complex(e,0).log().div(Math.LN10)},Complex:function(e){return new t.Complex(e).log().div(Math.LN10)},BigNumber:function(e){return!e.isNegative()||r.predictable?e.log():new t.Complex(e.toNumber(),0).log().div(Math.LN10)},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\log_{10}\\left(${args[0]}\\right)"},i}},function(e,t,u){"use strict";var c=u(0);t.name="log1p",t.factory=function(r,n,e,t){var i=e(u(12)),o=e(u(90)),a=t("log1p",{number:function(e){return-1<=e||n.predictable?Math.log1p?Math.log1p(e):Math.log(e+1):s(new r.Complex(e,0))},Complex:s,BigNumber:function(e){var t=e.plus(1);return!t.isNegative()||n.predictable?t.ln():s(new r.Complex(e.toNumber(),0))},"Array | Matrix":function(e){return c(e,a)},"any, any":function(e,t){return i(a(e),o(t))}});function s(e){var t=e.re+1;return new r.Complex(Math.log(Math.sqrt(t*t+e.im*e.im)),Math.atan2(e.im,t))}return a.toTex={1:"\\ln\\left(${args[0]}+1\\right)",2:"\\log_{${args[1]}}\\left(${args[0]}+1\\right)"},a}},function(e,t,r){"use strict";var a=r(0);t.name="log2",t.factory=function(r,t,e,n){var i=n("log2",{number:function(e){return 0<=e||t.predictable?Math.log2?Math.log2(e):Math.log(e)/Math.LN2:o(new r.Complex(e,0))},Complex:o,BigNumber:function(e){return!e.isNegative()||t.predictable?e.log(2):o(new r.Complex(e.toNumber(),0))},"Array | Matrix":function(e){return a(e,i)}});function o(e){var t=Math.sqrt(e.re*e.re+e.im*e.im);return new r.Complex(Math.log2?Math.log2(t):Math.log(t)/Math.LN2,Math.atan2(e.im,e.re)/Math.LN2)}return i.toTex="\\log_{2}\\left(${args[0]}\\right)",i}},function(e,t,h){"use strict";t.name="mod",t.factory=function(e,t,r,n){var i=r(h(1)),o=h(4),a=r(h(26)),s=r(h(18)),u=r(h(66)),c=r(h(20)),f=r(h(19)),l=r(h(7)),p=r(h(6)),m=n("mod",{"number, number":function(e,t){if(0<t)return e-t*Math.floor(e/t);if(0===t)return e;throw new Error("Cannot calculate mod for a negative divisor")},"BigNumber, BigNumber":function(e,t){return t.isZero()?e:e.mod(t)},"Fraction, Fraction":function(e,t){return e.mod(t)},"SparseMatrix, SparseMatrix":function(e,t){return u(e,t,m,!1)},"SparseMatrix, DenseMatrix":function(e,t){return a(t,e,m,!0)},"DenseMatrix, SparseMatrix":function(e,t){return s(e,t,m,!1)},"DenseMatrix, DenseMatrix":function(e,t){return l(e,t,m)},"Array, Array":function(e,t){return m(i(e),i(t)).valueOf()},"Array, Matrix":function(e,t){return m(i(e),t)},"Matrix, Array":function(e,t){return m(e,i(t))},"SparseMatrix, any":function(e,t){return c(e,t,m,!1)},"DenseMatrix, any":function(e,t){return p(e,t,m,!1)},"any, SparseMatrix":function(e,t){return f(t,e,m,!0)},"any, DenseMatrix":function(e,t){return p(t,e,m,!0)},"Array, any":function(e,t){return p(i(e),t,m,!1).valueOf()},"any, Array":function(e,t){return p(i(t),e,m,!0).valueOf()}});return m.toTex={2:"\\left(${args[0]}".concat(o.operators.mod,"${args[1]}\\right)")},m}},function(e,t,a){"use strict";t.name="norm",t.factory=function(e,t,r,n){var l=r(a(23)),p=r(a(14)),m=r(a(42)),h=r(a(71)),d=r(a(46)),y=r(a(10)),g=r(a(11)),v=r(a(33)),x=r(a(38)),i=r(a(1)),o=n("norm",{number:Math.abs,Complex:function(e){return e.abs()},BigNumber:function(e){return e.abs()},boolean:function(e){return Math.abs(e)},Array:function(e){return b(i(e),2)},Matrix:function(e){return b(e,2)},"number | Complex | BigNumber | boolean, number | BigNumber | string":function(e){return o(e)},"Array, number | BigNumber | string":function(e,t){return b(i(e),t)},"Matrix, number | BigNumber | string":function(e,t){return b(e,t)}});function b(e,t){var r=e.size();if(1===r.length){if(t===Number.POSITIVE_INFINITY||"inf"===t){var n=0;return e.forEach(function(e){var t=l(e);v(t,n)&&(n=t)},!0),n}var i;if(t===Number.NEGATIVE_INFINITY||"-inf"===t)return e.forEach(function(e){var t=l(e);i&&!x(t,i)||(i=t)},!0),i||0;if("fro"===t)return b(e,2);if("number"!=typeof t||isNaN(t))throw new Error("Unsupported parameter value");if(g(t,0))return Number.POSITIVE_INFINITY;var o=0;return e.forEach(function(e){o=p(m(l(e),t),o)},!0),m(o,1/t)}if(2===r.length){if(1===t){var a=[],s=0;return e.forEach(function(e,t){var r=t[1],n=p(a[r]||0,l(e));v(n,s)&&(s=n),a[r]=n},!0),s}if(t===Number.POSITIVE_INFINITY||"inf"===t){var u=[],c=0;return e.forEach(function(e,t){var r=t[0],n=p(u[r]||0,l(e));v(n,c)&&(c=n),u[r]=n},!0),c}if("fro"===t){var f=0;return e.forEach(function(e,t){f=p(f,y(e,h(e)))}),l(d(f))}if(2===t)throw new Error("Unsupported parameter value, missing implementation of matrix singular value decomposition");throw new Error("Unsupported parameter value")}}return o.toTex={1:"\\left\\|${args[0]}\\right\\|",2:void 0},o}},function(e,t,h){"use strict";function d(e,t){var r=t<0;if(r&&(t=-t),0===t)throw new Error("Root must be non-zero");if(e<0&&Math.abs(t)%2!=1)throw new Error("Root must be odd when a is negative.");if(0===e)return r?1/0:0;if(!isFinite(e))return r?0:e;var n=Math.pow(Math.abs(e),1/t);return n=e<0?-n:n,r?1/n:n}t.name="nthRoot",t.factory=function(u,e,t,r){var n=t(h(1)),i=t(h(37)),o=t(h(26)),a=t(h(74)),s=t(h(20)),c=t(h(7)),f=t(h(6)),l="Complex number not supported in function nthRoot. Use nthRoots instead.",p=r("nthRoot",{number:function(e){return d(e,2)},"number, number":d,BigNumber:function(e){return m(e,new u.BigNumber(2))},Complex:function(e){throw new Error(l)},"Complex, number":function(e,t){throw new Error(l)},"BigNumber, BigNumber":m,"Array | Matrix":function(e){return p(e,2)},"SparseMatrix, SparseMatrix":function(e,t){if(1===t.density())return a(e,t,p);throw new Error("Root must be non-zero")},"SparseMatrix, DenseMatrix":function(e,t){return o(t,e,p,!0)},"DenseMatrix, SparseMatrix":function(e,t){if(1===t.density())return i(e,t,p,!1);throw new Error("Root must be non-zero")},"DenseMatrix, DenseMatrix":function(e,t){return c(e,t,p)},"Array, Array":function(e,t){return p(n(e),n(t)).valueOf()},"Array, Matrix":function(e,t){return p(n(e),t)},"Matrix, Array":function(e,t){return p(e,n(t))},"SparseMatrix, number | BigNumber":function(e,t){return s(e,t,p,!1)},"DenseMatrix, number | BigNumber":function(e,t){return f(e,t,p,!1)},"number | BigNumber, SparseMatrix":function(e,t){if(1===t.density())return s(t,e,p,!0);throw new Error("Root must be non-zero")},"number | BigNumber, DenseMatrix":function(e,t){return f(t,e,p,!0)},"Array, number | BigNumber":function(e,t){return p(n(e),t).valueOf()},"number | BigNumber, Array":function(e,t){return p(e,n(t)).valueOf()}});return p.toTex={2:"\\sqrt[${args[1]}]{${args[0]}}"},p;function m(e,t){var r=u.BigNumber.precision,n=u.BigNumber.clone({precision:r+2}),i=new u.BigNumber(0),o=new n(1),a=t.isNegative();if(a&&(t=t.neg()),t.isZero())throw new Error("Root must be non-zero");if(e.isNegative()&&!t.abs().mod(2).equals(1))throw new Error("Root must be odd when a is negative.");if(e.isZero())return a?new n(1/0):0;if(!e.isFinite())return a?i:e;var s=e.abs().pow(o.div(t));return s=e.isNeg()?s.neg():s,new u.BigNumber((a?o.div(s):s).toPrecision(r))}}},function(e,t,r){"use strict";var n=r(81),i=r(102),f=n.factory("Complex",{},"",i,{on:function(e,t){}});var l=[function(e){return f(e)},function(e){return f(0,e)},function(e){return f(-e)},function(e){return f(0,-e)}];function o(e,t){if(t<0)throw new Error("Root must be greater than zero");if(0===t)throw new Error("Root must be non-zero");if(t%1!=0)throw new Error("Root must be an integer");if(0===e||0===e.abs())return[f(0)];var r,n="number"==typeof e;(n||0===e.re||0===e.im)&&(r=n?2*+(e<0):0===e.im?2*+(e.re<0):2*+(e.im<0)+1);for(var i=e.arg(),o=e.abs(),a=[],s=Math.pow(o,1/t),u=0;u<t;u++){var c=(r+4*u)/t;c!==Math.round(c)?a.push(f({r:s,phi:(i+2*Math.PI*u)/t})):a.push(l[c%4](s))}return a}t.name="nthRoots",t.factory=function(e,t,r,n){var i=n("nthRoots",{Complex:function(e){return o(e,2)},"Complex, number":o});return i.toTex={2:"\\{y : $y^{args[1]} = {${args[0]}}\\}"},i}},function(e,t,r){"use strict";var o=r(0);t.name="square",t.factory=function(e,t,r,n){var i=n("square",{number:function(e){return e*e},Complex:function(e){return e.mul(e)},BigNumber:function(e){return e.times(e)},Fraction:function(e){return e.mul(e)},"Array | Matrix":function(e){return o(e,i,!0)},Unit:function(e){return e.pow(2)}});return i.toTex={1:"\\left(${args[0]}\\right)^2"},i}},function(e,t,a){"use strict";var s=a(0);t.name="unaryPlus",t.factory=function(t,r,e,n){var i=a(4),o=n("unaryPlus",{number:function(e){return e},Complex:function(e){return e},BigNumber:function(e){return e},Fraction:function(e){return e},Unit:function(e){return e.clone()},"Array | Matrix":function(e){return s(e,o,!0)},"boolean | string":function(e){return"BigNumber"===r.number?new t.BigNumber(+e):+e}});return o.toTex={1:"".concat(i.operators.unaryPlus,"\\left(${args[0]}\\right)")},o}},function(e,t,n){"use strict";var f=n(3).isInteger;t.name="xgcd",t.factory=function(p,m,e,t){var h=e(n(1)),r=t("xgcd",{"number, number":function(e,t){var r,n,i,o,a=0,s=1,u=1,c=0;if(!f(e)||!f(t))throw new Error("Parameters in function xgcd must be integer numbers");for(;t;)n=Math.floor(e/t),i=e-n*t,a=s-n*(r=a),s=r,u=c-n*(r=u),c=r,e=t,t=i;return o=e<0?[-e,-s,-c]:[e,e?s:0,c],"Array"===m.matrix?o:h(o)},"BigNumber, BigNumber":function(e,t){var r,n,i,o,a=new p.BigNumber(0),s=new p.BigNumber(1),u=a,c=s,f=s,l=a;if(!e.isInt()||!t.isInt())throw new Error("Parameters in function xgcd must be integer numbers");for(;!t.isZero();)n=e.div(t).floor(),i=e.mod(t),r=u,u=c.minus(n.times(u)),c=r,r=f,f=l.minus(n.times(f)),l=r,e=t,t=i;return o=e.lt(a)?[e.neg(),c.neg(),l.neg()]:[e,e.isZero()?0:c,l],"Array"===m.matrix?o:h(o)}});return r.toTex=void 0,r}},function(e,t,r){"use strict";e.exports=[r(244),r(246),r(247),r(249),r(251),r(253),r(255)]},function(e,t,p){"use strict";var m=p(3).isInteger,h=p(245);t.name="bitAnd",t.factory=function(e,t,r,n){var i=p(4),o=r(p(1)),a=r(p(26)),s=r(p(74)),u=r(p(20)),c=r(p(7)),f=r(p(6)),l=n("bitAnd",{"number, number":function(e,t){if(!m(e)||!m(t))throw new Error("Integers expected in function bitAnd");return e&t},"BigNumber, BigNumber":h,"SparseMatrix, SparseMatrix":function(e,t){return s(e,t,l,!1)},"SparseMatrix, DenseMatrix":function(e,t){return a(t,e,l,!0)},"DenseMatrix, SparseMatrix":function(e,t){return a(e,t,l,!1)},"DenseMatrix, DenseMatrix":function(e,t){return c(e,t,l)},"Array, Array":function(e,t){return l(o(e),o(t)).valueOf()},"Array, Matrix":function(e,t){return l(o(e),t)},"Matrix, Array":function(e,t){return l(e,o(t))},"SparseMatrix, any":function(e,t){return u(e,t,l,!1)},"DenseMatrix, any":function(e,t){return f(e,t,l,!1)},"any, SparseMatrix":function(e,t){return u(t,e,l,!0)},"any, DenseMatrix":function(e,t){return f(t,e,l,!0)},"Array, any":function(e,t){return f(o(e),t,l,!1).valueOf()},"any, Array":function(e,t){return f(o(t),e,l,!0).valueOf()}});return l.toTex={2:"\\left(${args[0]}".concat(i.operators.bitAnd,"${args[1]}\\right)")},l}},function(e,t,r){"use strict";var n=r(91);e.exports=function(e,t){if(e.isFinite()&&!e.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function bitAnd");var r=e.constructor;if(e.isNaN()||t.isNaN())return new r(NaN);if(e.isZero()||t.eq(-1)||e.eq(t))return e;if(t.isZero()||e.eq(-1))return t;if(!e.isFinite()||!t.isFinite()){if(!e.isFinite()&&!t.isFinite())return e.isNegative()===t.isNegative()?e:new r(0);if(!e.isFinite())return t.isNegative()?e:e.isNegative()?new r(0):t;if(!t.isFinite())return e.isNegative()?t:t.isNegative()?new r(0):e}return n(e,t,function(e,t){return e&t})}},function(e,t,a){"use strict";var s=a(0),u=a(92),c=a(3).isInteger;t.name="bitNot",t.factory=function(e,t,r,n){var i=a(4),o=n("bitNot",{number:function(e){if(!c(e))throw new Error("Integer expected in function bitNot");return~e},BigNumber:u,"Array | Matrix":function(e){return s(e,o)}});return o.toTex={1:i.operators.bitNot+"\\left(${args[0]}\\right)"},o}},function(e,t,p){"use strict";var m=p(3).isInteger,h=p(248);t.name="bitOr",t.factory=function(e,t,r,n){var i=p(4),o=r(p(1)),a=r(p(37)),s=r(p(84)),u=r(p(41)),c=r(p(7)),f=r(p(6)),l=n("bitOr",{"number, number":function(e,t){if(!m(e)||!m(t))throw new Error("Integers expected in function bitOr");return e|t},"BigNumber, BigNumber":h,"SparseMatrix, SparseMatrix":function(e,t){return s(e,t,l)},"SparseMatrix, DenseMatrix":function(e,t){return a(t,e,l,!0)},"DenseMatrix, SparseMatrix":function(e,t){return a(e,t,l,!1)},"DenseMatrix, DenseMatrix":function(e,t){return c(e,t,l)},"Array, Array":function(e,t){return l(o(e),o(t)).valueOf()},"Array, Matrix":function(e,t){return l(o(e),t)},"Matrix, Array":function(e,t){return l(e,o(t))},"SparseMatrix, any":function(e,t){return u(e,t,l,!1)},"DenseMatrix, any":function(e,t){return f(e,t,l,!1)},"any, SparseMatrix":function(e,t){return u(t,e,l,!0)},"any, DenseMatrix":function(e,t){return f(t,e,l,!0)},"Array, any":function(e,t){return f(o(e),t,l,!1).valueOf()},"any, Array":function(e,t){return f(o(t),e,l,!0).valueOf()}});return l.toTex={2:"\\left(${args[0]}".concat(i.operators.bitOr,"${args[1]}\\right)")},l}},function(e,t,r){"use strict";var i=r(91);e.exports=function(e,t){if(e.isFinite()&&!e.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function bitOr");var r=e.constructor;if(e.isNaN()||t.isNaN())return new r(NaN);var n=new r(-1);return e.isZero()||t.eq(n)||e.eq(t)?t:t.isZero()||e.eq(n)?e:e.isFinite()&&t.isFinite()?i(e,t,function(e,t){return e|t}):!e.isFinite()&&!e.isNegative()&&t.isNegative()||e.isNegative()&&!t.isNegative()&&!t.isFinite()?n:e.isNegative()&&t.isNegative()?e.isFinite()?e:t:e.isFinite()?t:e}},function(e,t,p){"use strict";var m=p(3).isInteger,h=p(250);t.name="bitXor",t.factory=function(e,t,r,n){var i=p(4),o=r(p(1)),a=r(p(18)),s=r(p(28)),u=r(p(19)),c=r(p(7)),f=r(p(6)),l=n("bitXor",{"number, number":function(e,t){if(!m(e)||!m(t))throw new Error("Integers expected in function bitXor");return e^t},"BigNumber, BigNumber":h,"SparseMatrix, SparseMatrix":function(e,t){return s(e,t,l)},"SparseMatrix, DenseMatrix":function(e,t){return a(t,e,l,!0)},"DenseMatrix, SparseMatrix":function(e,t){return a(e,t,l,!1)},"DenseMatrix, DenseMatrix":function(e,t){return c(e,t,l)},"Array, Array":function(e,t){return l(o(e),o(t)).valueOf()},"Array, Matrix":function(e,t){return l(o(e),t)},"Matrix, Array":function(e,t){return l(e,o(t))},"SparseMatrix, any":function(e,t){return u(e,t,l,!1)},"DenseMatrix, any":function(e,t){return f(e,t,l,!1)},"any, SparseMatrix":function(e,t){return u(t,e,l,!0)},"any, DenseMatrix":function(e,t){return f(t,e,l,!0)},"Array, any":function(e,t){return f(o(e),t,l,!1).valueOf()},"any, Array":function(e,t){return f(o(t),e,l,!0).valueOf()}});return l.toTex={2:"\\left(${args[0]}".concat(i.operators.bitXor,"${args[1]}\\right)")},l}},function(e,t,r){"use strict";var i=r(91),o=r(92);e.exports=function(e,t){if(e.isFinite()&&!e.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function bitXor");var r=e.constructor;if(e.isNaN()||t.isNaN())return new r(NaN);if(e.isZero())return t;if(t.isZero())return e;if(e.eq(t))return new r(0);var n=new r(-1);return e.eq(n)?o(t):t.eq(n)?o(e):e.isFinite()&&t.isFinite()?i(e,t,function(e,t){return e^t}):e.isFinite()||t.isFinite()?new r(e.isNegative()===t.isNegative()?1/0:-1/0):n}},function(e,t,y){"use strict";var g=y(3).isInteger,v=y(252);t.name="leftShift",t.factory=function(e,t,r,n){var i=y(4),o=r(y(1)),a=r(y(11)),s=r(y(43)),u=r(y(37)),c=r(y(26)),f=r(y(93)),l=r(y(41)),p=r(y(20)),m=r(y(7)),h=r(y(6)),d=n("leftShift",{"number, number":function(e,t){if(!g(e)||!g(t))throw new Error("Integers expected in function leftShift");return e<<t},"BigNumber, BigNumber":v,"SparseMatrix, SparseMatrix":function(e,t){return f(e,t,d,!1)},"SparseMatrix, DenseMatrix":function(e,t){return c(t,e,d,!0)},"DenseMatrix, SparseMatrix":function(e,t){return u(e,t,d,!1)},"DenseMatrix, DenseMatrix":function(e,t){return m(e,t,d)},"Array, Array":function(e,t){return d(o(e),o(t)).valueOf()},"Array, Matrix":function(e,t){return d(o(e),t)},"Matrix, Array":function(e,t){return d(e,o(t))},"SparseMatrix, number | BigNumber":function(e,t){return a(t,0)?e.clone():p(e,t,d,!1)},"DenseMatrix, number | BigNumber":function(e,t){return a(t,0)?e.clone():h(e,t,d,!1)},"number | BigNumber, SparseMatrix":function(e,t){return a(e,0)?s(t.size(),t.storage()):l(t,e,d,!0)},"number | BigNumber, DenseMatrix":function(e,t){return a(e,0)?s(t.size(),t.storage()):h(t,e,d,!0)},"Array, number | BigNumber":function(e,t){return d(o(e),t).valueOf()},"number | BigNumber, Array":function(e,t){return d(e,o(t)).valueOf()}});return d.toTex={2:"\\left(${args[0]}".concat(i.operators.leftShift,"${args[1]}\\right)")},d}},function(e,t,r){"use strict";e.exports=function(e,t){if(e.isFinite()&&!e.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function leftShift");var r=e.constructor;return e.isNaN()||t.isNaN()||t.isNegative()&&!t.isZero()?new r(NaN):e.isZero()||t.isZero()?e:e.isFinite()||t.isFinite()?t.lt(55)?e.times(Math.pow(2,t.toNumber())+""):e.times(new r(2).pow(t)):new r(NaN)}},function(e,t,y){"use strict";var g=y(3).isInteger,v=y(254);t.name="rightArithShift",t.factory=function(e,t,r,n){var i=y(4),o=r(y(1)),a=r(y(11)),s=r(y(43)),u=r(y(37)),c=r(y(26)),f=r(y(93)),l=r(y(41)),p=r(y(20)),m=r(y(7)),h=r(y(6)),d=n("rightArithShift",{"number, number":function(e,t){if(!g(e)||!g(t))throw new Error("Integers expected in function rightArithShift");return e>>t},"BigNumber, BigNumber":v,"SparseMatrix, SparseMatrix":function(e,t){return f(e,t,d,!1)},"SparseMatrix, DenseMatrix":function(e,t){return c(t,e,d,!0)},"DenseMatrix, SparseMatrix":function(e,t){return u(e,t,d,!1)},"DenseMatrix, DenseMatrix":function(e,t){return m(e,t,d)},"Array, Array":function(e,t){return d(o(e),o(t)).valueOf()},"Array, Matrix":function(e,t){return d(o(e),t)},"Matrix, Array":function(e,t){return d(e,o(t))},"SparseMatrix, number | BigNumber":function(e,t){return a(t,0)?e.clone():p(e,t,d,!1)},"DenseMatrix, number | BigNumber":function(e,t){return a(t,0)?e.clone():h(e,t,d,!1)},"number | BigNumber, SparseMatrix":function(e,t){return a(e,0)?s(t.size(),t.storage()):l(t,e,d,!0)},"number | BigNumber, DenseMatrix":function(e,t){return a(e,0)?s(t.size(),t.storage()):h(t,e,d,!0)},"Array, number | BigNumber":function(e,t){return d(o(e),t).valueOf()},"number | BigNumber, Array":function(e,t){return d(e,o(t)).valueOf()}});return d.toTex={2:"\\left(${args[0]}".concat(i.operators.rightArithShift,"${args[1]}\\right)")},d}},function(e,t,r){"use strict";e.exports=function(e,t){if(e.isFinite()&&!e.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function rightArithShift");var r=e.constructor;return e.isNaN()||t.isNaN()||t.isNegative()&&!t.isZero()?new r(NaN):e.isZero()||t.isZero()?e:t.isFinite()?t.lt(55)?e.div(Math.pow(2,t.toNumber())+"").floor():e.div(new r(2).pow(t)).floor():e.isNegative()?new r(-1):e.isFinite()?new r(0):new r(NaN)}},function(e,t,y){"use strict";var g=y(3).isInteger;t.name="rightLogShift",t.factory=function(e,t,r,n){var i=y(4),o=r(y(1)),a=r(y(11)),s=r(y(43)),u=r(y(37)),c=r(y(26)),f=r(y(93)),l=r(y(41)),p=r(y(20)),m=r(y(7)),h=r(y(6)),d=n("rightLogShift",{"number, number":function(e,t){if(!g(e)||!g(t))throw new Error("Integers expected in function rightLogShift");return e>>>t},"SparseMatrix, SparseMatrix":function(e,t){return f(e,t,d,!1)},"SparseMatrix, DenseMatrix":function(e,t){return c(t,e,d,!0)},"DenseMatrix, SparseMatrix":function(e,t){return u(e,t,d,!1)},"DenseMatrix, DenseMatrix":function(e,t){return m(e,t,d)},"Array, Array":function(e,t){return d(o(e),o(t)).valueOf()},"Array, Matrix":function(e,t){return d(o(e),t)},"Matrix, Array":function(e,t){return d(e,o(t))},"SparseMatrix, number | BigNumber":function(e,t){return a(t,0)?e.clone():p(e,t,d,!1)},"DenseMatrix, number | BigNumber":function(e,t){return a(t,0)?e.clone():h(e,t,d,!1)},"number | BigNumber, SparseMatrix":function(e,t){return a(e,0)?s(t.size(),t.storage()):l(t,e,d,!0)},"number | BigNumber, DenseMatrix":function(e,t){return a(e,0)?s(t.size(),t.storage()):h(t,e,d,!0)},"Array, number | BigNumber":function(e,t){return d(o(e),t).valueOf()},"number | BigNumber, Array":function(e,t){return d(e,o(t)).valueOf()}});return d.toTex={2:"\\left(${args[0]}".concat(i.operators.rightLogShift,"${args[1]}\\right)")},d}},function(e,t,r){"use strict";e.exports=[r(257),r(258),r(139),r(259)]},function(e,t,c){"use strict";t.name="bellNumbers",t.factory=function(e,t,r,n){var i=r(c(14)),o=r(c(139)),a=r(c(61)),s=r(c(34)),u=n("bellNumbers",{"number | BigNumber":function(e){if(!s(e)||a(e))throw new TypeError("Non-negative integer value expected in function bellNumbers");for(var t=0,r=0;r<=e;r++)t=i(t,o(e,r));return t}});return u.toTex={1:"\\mathrm{B}_{${args[0]}}"},u}},function(e,t,f){"use strict";t.name="composition",t.factory=function(e,t,r,n){var i=r(f(76)),o=r(f(17)),a=r(f(73)),s=r(f(34)),u=r(f(33)),c=n("composition",{"number | BigNumber, number | BigNumber":function(e,t){if(!(s(e)&&a(e)&&s(t)&&a(t)))throw new TypeError("Positive integer value expected in function composition");if(u(t,e))throw new TypeError("k must be less than or equal to n in function composition");return i(o(e,-1),o(t,-1))}});return c.toTex=void 0,c}},function(e,t,l){"use strict";t.name="catalan",t.factory=function(e,t,r,n){var i=r(l(14)),o=r(l(45)),a=r(l(10)),s=r(l(76)),u=r(l(61)),c=r(l(34)),f=n("catalan",{"number | BigNumber":function(e){if(!c(e)||u(e))throw new TypeError("Non-negative integer value expected in function catalan");return o(s(a(e,2),e),i(e,1))}});return f.toTex={1:"\\mathrm{C}_{${args[0]}}"},f}},function(e,t,r){"use strict";e.exports=[r(261),r(71),r(262),r(263)]},function(e,t,r){"use strict";var o=r(0);t.name="arg",t.factory=function(t,e,r,n){var i=n("arg",{number:function(e){return Math.atan2(0,e)},BigNumber:function(e){return t.BigNumber.atan2(0,e)},Complex:function(e){return e.arg()},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\arg\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);t.name="im",t.factory=function(t,e,r,n){var i=n("im",{number:function(e){return 0},BigNumber:function(e){return new t.BigNumber(0)},Complex:function(e){return e.im},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\Im\\left\\lbrace${args[0]}\\right\\rbrace"},i}},function(e,t,r){"use strict";var o=r(0);t.name="re",t.factory=function(e,t,r,n){var i=n("re",{number:function(e){return e},BigNumber:function(e){return e},Complex:function(e){return e.re},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\Re\\left\\lbrace${args[0]}\\right\\rbrace"},i}},function(e,t,r){"use strict";e.exports=[r(265),r(266)]},function(e,t,u){"use strict";t.name="intersect",t.factory=function(t,h,e,r){var d=e(u(23)),y=e(u(14)),A=e(u(17)),i=e(u(1)),g=e(u(10)),S=e(u(21)),O=e(u(12)),T=e(u(15)),v=e(u(38)),_=e(u(11)),o=r("intersect",{"Array, Array, Array":function(e,t,r){if(!s(e))throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument");if(!s(t))throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument");if(!function(e){return 4===e.length&&n(e[0])&&n(e[1])&&n(e[2])&&n(e[3])}(r))throw new TypeError("Array with 4 numbers expected as third argument");return function(e,t,r,n,i,o,a,s,u,c){var f=S(e,a),l=S(n,a),p=S(t,s),m=S(i,s),h=S(r,u),d=S(o,u),y=O(T(T(T(c,f),p),h),T(T(T(A(A(l,m),d),f),p),h)),g=A(e,S(y,T(n,e))),v=A(t,S(y,T(i,t))),x=A(r,S(y,T(o,r)));return[g,v,x]}(e[0],e[1],e[2],t[0],t[1],t[2],r[0],r[1],r[2],r[3])},"Array, Array, Array, Array":function(e,t,r,n){if(2===e.length){if(!a(e))throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument");if(!a(t))throw new TypeError("Array with 2 numbers or BigNumbers expected for second argument");if(!a(r))throw new TypeError("Array with 2 numbers or BigNumbers expected for third argument");if(!a(n))throw new TypeError("Array with 2 numbers or BigNumbers expected for fourth argument");return function(e,t,r,n){var i=e,o=r,a=T(i,t),s=T(o,n),u=T(S(a[0],s[1]),S(s[0],a[1]));if(v(d(u),h.epsilon))return null;var c=S(s[0],i[1]),f=S(s[1],i[0]),l=S(s[0],o[1]),p=S(s[1],o[0]),m=O(A(T(T(c,f),l),p),u);return y(g(a,m),i)}(e,t,r,n)}if(3!==e.length)throw new TypeError("Arrays with two or thee dimensional points expected");if(!s(e))throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument");if(!s(t))throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument");if(!s(r))throw new TypeError("Array with 3 numbers or BigNumbers expected for third argument");if(!s(n))throw new TypeError("Array with 3 numbers or BigNumbers expected for fourth argument");return function(e,t,r,n,i,o,a,s,u,c,f,l){var p=C(e,a,c,a,t,s,f,s,r,u,l,u),m=C(c,a,n,e,f,s,i,t,l,u,o,r),h=C(e,a,n,e,t,s,i,t,r,u,o,r),d=C(c,a,c,a,f,s,f,s,l,u,l,u),y=C(n,e,n,e,i,t,i,t,o,r,o,r),g=O(T(S(p,m),S(h,d)),T(S(y,d),S(m,m))),v=O(A(p,S(g,m)),d),x=A(e,S(g,T(n,e))),b=A(t,S(g,T(i,t))),w=A(r,S(g,T(o,r))),N=A(a,S(v,T(c,a))),M=A(s,S(v,T(f,s))),E=A(u,S(v,T(l,u)));return _(x,N)&&_(b,M)&&_(w,E)?[x,b,w]:null}(e[0],e[1],e[2],t[0],t[1],t[2],r[0],r[1],r[2],n[0],n[1],n[2])},"Matrix, Matrix, Matrix":function(e,t,r){return i(o(e.valueOf(),t.valueOf(),r.valueOf()))},"Matrix, Matrix, Matrix, Matrix":function(e,t,r,n){return i(o(e.valueOf(),t.valueOf(),r.valueOf(),n.valueOf()))}});function n(e){return"number"==typeof e||t.isBigNumber(e)}function a(e){return 2===e.length&&n(e[0])&&n(e[1])}function s(e){return 3===e.length&&n(e[0])&&n(e[1])&&n(e[2])}function C(e,t,r,n,i,o,a,s,u,c,f,l){var p=S(T(e,t),T(r,n)),m=S(T(i,o),T(a,s)),h=S(T(u,c),T(f,l));return A(A(p,m),h)}return o}},function(e,t,b){"use strict";t.name="distance",t.factory=function(t,e,r,n){var l=r(b(17)),p=r(b(15)),m=r(b(21)),h=r(b(12)),s=r(b(39)),d=r(b(46)),u=r(b(23));function i(e){return"number"==typeof e||t.isBigNumber(e)}function c(e){return e.constructor!==Array&&(e=f(e)),i(e[0])&&i(e[1])}function o(e){return e.constructor!==Array&&(e=f(e)),i(e[0])&&i(e[1])&&i(e[2])}function a(e){return e.constructor!==Array&&(e=f(e)),i(e[0])&&i(e[1])&&i(e[2])&&i(e[3])&&i(e[4])&&i(e[5])}function f(e){for(var t=Object.keys(e),r=[],n=0;n<t.length;n++)r.push(e[t[n]]);return r}function y(e,t,r,n,i){var o=u(l(l(m(r,e),m(n,t)),i)),a=d(l(m(r,r),m(n,n)));return h(o,a)}function g(e,t,r,n,i,o,a,s,u){var c=[p(m(p(i,t),u),m(p(o,r),s)),p(m(p(o,r),a),m(p(n,e),u)),p(m(p(n,e),s),m(p(i,t),a))];c=d(l(l(m(c[0],c[0]),m(c[1],c[1])),m(c[2],c[2])));var f=d(l(l(m(a,a),m(s,s)),m(u,u)));return h(c,f)}function v(e,t,r,n){var i=p(n,t),o=p(r,e),a=l(m(i,i),m(o,o));return d(a)}function x(e,t,r,n,i,o){var a=p(o,r),s=p(i,t),u=p(n,e),c=l(l(m(a,a),m(s,s)),m(u,u));return d(c)}return n("distance",{"Array, Array, Array":function(e,t,r){if(2!==e.length||2!==t.length||2!==r.length)throw new TypeError("Invalid Arguments: Try again");if(!c(e))throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument");if(!c(t))throw new TypeError("Array with 2 numbers or BigNumbers expected for second argument");if(!c(r))throw new TypeError("Array with 2 numbers or BigNumbers expected for third argument");var n=h(p(r[1],r[0]),p(t[1],t[0])),i=m(m(n,n),t[0]),o=s(m(n,t[0])),a=e[1];return y(e[0],e[1],i,o,a)},"Object, Object, Object":function(e,t,r){if(2!==Object.keys(e).length||2!==Object.keys(t).length||2!==Object.keys(r).length)throw new TypeError("Invalid Arguments: Try again");if(!c(e))throw new TypeError("Values of pointX and pointY should be numbers or BigNumbers");if(!c(t))throw new TypeError("Values of lineOnePtX and lineOnePtY should be numbers or BigNumbers");if(!c(r))throw new TypeError("Values of lineTwoPtX and lineTwoPtY should be numbers or BigNumbers");if(e.hasOwnProperty("pointX")&&e.hasOwnProperty("pointY")&&t.hasOwnProperty("lineOnePtX")&&t.hasOwnProperty("lineOnePtY")&&r.hasOwnProperty("lineTwoPtX")&&r.hasOwnProperty("lineTwoPtY")){var n=h(p(r.lineTwoPtY,r.lineTwoPtX),p(t.lineOnePtY,t.lineOnePtX)),i=m(m(n,n),t.lineOnePtX),o=s(m(n,t.lineOnePtX)),a=e.pointX;return y(e.pointX,e.pointY,i,o,a)}throw new TypeError("Key names do not match")},"Array, Array":function(e,t){if(2===e.length&&3===t.length){if(!c(e))throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument");if(!o(t))throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument");return y(e[0],e[1],t[0],t[1],t[2])}if(3===e.length&&6===t.length){if(!o(e))throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument");if(!a(t))throw new TypeError("Array with 6 numbers or BigNumbers expected for second argument");return g(e[0],e[1],e[2],t[0],t[1],t[2],t[3],t[4],t[5])}if(2===e.length&&2===t.length){if(!c(e))throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument");if(!c(t))throw new TypeError("Array with 2 numbers or BigNumbers expected for second argument");return v(e[0],e[1],t[0],t[1])}if(3!==e.length||3!==t.length)throw new TypeError("Invalid Arguments: Try again");if(!o(e))throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument");if(!o(t))throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument");return x(e[0],e[1],e[2],t[0],t[1],t[2])},"Object, Object":function(e,t){if(2===Object.keys(e).length&&3===Object.keys(t).length){if(!c(e))throw new TypeError("Values of pointX and pointY should be numbers or BigNumbers");if(!o(t))throw new TypeError("Values of xCoeffLine, yCoeffLine and constant should be numbers or BigNumbers");if(e.hasOwnProperty("pointX")&&e.hasOwnProperty("pointY")&&t.hasOwnProperty("xCoeffLine")&&t.hasOwnProperty("yCoeffLine")&&t.hasOwnProperty("constant"))return y(e.pointX,e.pointY,t.xCoeffLine,t.yCoeffLine,t.constant);throw new TypeError("Key names do not match")}if(3===Object.keys(e).length&&6===Object.keys(t).length){if(!o(e))throw new TypeError("Values of pointX, pointY and pointZ should be numbers or BigNumbers");if(!a(t))throw new TypeError("Values of x0, y0, z0, a, b and c should be numbers or BigNumbers");if(e.hasOwnProperty("pointX")&&e.hasOwnProperty("pointY")&&t.hasOwnProperty("x0")&&t.hasOwnProperty("y0")&&t.hasOwnProperty("z0")&&t.hasOwnProperty("a")&&t.hasOwnProperty("b")&&t.hasOwnProperty("c"))return g(e.pointX,e.pointY,e.pointZ,t.x0,t.y0,t.z0,t.a,t.b,t.c);throw new TypeError("Key names do not match")}if(2===Object.keys(e).length&&2===Object.keys(t).length){if(!c(e))throw new TypeError("Values of pointOneX and pointOneY should be numbers or BigNumbers");if(!c(t))throw new TypeError("Values of pointTwoX and pointTwoY should be numbers or BigNumbers");if(e.hasOwnProperty("pointOneX")&&e.hasOwnProperty("pointOneY")&&t.hasOwnProperty("pointTwoX")&&t.hasOwnProperty("pointTwoY"))return v(e.pointOneX,e.pointOneY,t.pointTwoX,t.pointTwoY);throw new TypeError("Key names do not match")}if(3!==Object.keys(e).length||3!==Object.keys(t).length)throw new TypeError("Invalid Arguments: Try again");if(!o(e))throw new TypeError("Values of pointOneX, pointOneY and pointOneZ should be numbers or BigNumbers");if(!o(t))throw new TypeError("Values of pointTwoX, pointTwoY and pointTwoZ should be numbers or BigNumbers");if(e.hasOwnProperty("pointOneX")&&e.hasOwnProperty("pointOneY")&&e.hasOwnProperty("pointOneZ")&&t.hasOwnProperty("pointTwoX")&&t.hasOwnProperty("pointTwoY")&&t.hasOwnProperty("pointTwoZ"))return x(e.pointOneX,e.pointOneY,e.pointOneZ,t.pointTwoX,t.pointTwoY,t.pointTwoZ);throw new TypeError("Key names do not match")},Array:function(e){if(!function(e){if(2===e[0].length&&i(e[0][0])&&i(e[0][1])){for(var t in e)if(2!==e[t].length||!i(e[t][0])||!i(e[t][1]))return!1}else{if(!(3===e[0].length&&i(e[0][0])&&i(e[0][1])&&i(e[0][2])))return!1;for(var r in e)if(3!==e[r].length||!i(e[r][0])||!i(e[r][1])||!i(e[r][2]))return!1}return!0}(e))throw new TypeError("Incorrect array format entered for pairwise distance calculation");return function(e){for(var t=[],r=0;r<e.length-1;r++)for(var n=r+1;n<e.length;n++)2===e[0].length?t.push(v(e[r][0],e[r][1],e[n][0],e[n][1])):3===e[0].length&&t.push(x(e[r][0],e[r][1],e[r][2],e[n][0],e[n][1],e[n][2]));return t}(e)}})}},function(e,t,r){"use strict";e.exports=[r(268),r(141),r(269),r(270)]},function(e,t,h){"use strict";t.name="and",t.factory=function(e,t,r,n){var i=h(4),o=r(h(1)),a=r(h(43)),s=r(h(141)),u=r(h(26)),c=r(h(74)),f=r(h(20)),l=r(h(7)),p=r(h(6)),m=n("and",{"number, number":function(e,t){return!(!e||!t)},"Complex, Complex":function(e,t){return!(0===e.re&&0===e.im||0===t.re&&0===t.im)},"BigNumber, BigNumber":function(e,t){return!(e.isZero()||t.isZero()||e.isNaN()||t.isNaN())},"Unit, Unit":function(e,t){return m(e.value||0,t.value||0)},"SparseMatrix, SparseMatrix":function(e,t){return c(e,t,m,!1)},"SparseMatrix, DenseMatrix":function(e,t){return u(t,e,m,!0)},"DenseMatrix, SparseMatrix":function(e,t){return u(e,t,m,!1)},"DenseMatrix, DenseMatrix":function(e,t){return l(e,t,m)},"Array, Array":function(e,t){return m(o(e),o(t)).valueOf()},"Array, Matrix":function(e,t){return m(o(e),t)},"Matrix, Array":function(e,t){return m(e,o(t))},"SparseMatrix, any":function(e,t){return s(t)?a(e.size(),e.storage()):f(e,t,m,!1)},"DenseMatrix, any":function(e,t){return s(t)?a(e.size(),e.storage()):p(e,t,m,!1)},"any, SparseMatrix":function(e,t){return s(e)?a(e.size(),e.storage()):f(t,e,m,!0)},"any, DenseMatrix":function(e,t){return s(e)?a(e.size(),e.storage()):p(t,e,m,!0)},"Array, any":function(e,t){return m(o(e),t).valueOf()},"any, Array":function(e,t){return m(e,o(t)).valueOf()}});return m.toTex={2:"\\left(${args[0]}".concat(i.operators.and,"${args[1]}\\right)")},m}},function(e,t,p){"use strict";t.name="or",t.factory=function(e,t,r,n){var i=p(4),o=r(p(1)),a=r(p(18)),s=r(p(66)),u=r(p(19)),c=r(p(7)),f=r(p(6)),l=n("or",{"number, number":function(e,t){return!(!e&&!t)},"Complex, Complex":function(e,t){return 0!==e.re||0!==e.im||0!==t.re||0!==t.im},"BigNumber, BigNumber":function(e,t){return!e.isZero()&&!e.isNaN()||!t.isZero()&&!t.isNaN()},"Unit, Unit":function(e,t){return l(e.value||0,t.value||0)},"SparseMatrix, SparseMatrix":function(e,t){return s(e,t,l)},"SparseMatrix, DenseMatrix":function(e,t){return a(t,e,l,!0)},"DenseMatrix, SparseMatrix":function(e,t){return a(e,t,l,!1)},"DenseMatrix, DenseMatrix":function(e,t){return c(e,t,l)},"Array, Array":function(e,t){return l(o(e),o(t)).valueOf()},"Array, Matrix":function(e,t){return l(o(e),t)},"Matrix, Array":function(e,t){return l(e,o(t))},"SparseMatrix, any":function(e,t){return u(e,t,l,!1)},"DenseMatrix, any":function(e,t){return f(e,t,l,!1)},"any, SparseMatrix":function(e,t){return u(t,e,l,!0)},"any, DenseMatrix":function(e,t){return f(t,e,l,!0)},"Array, any":function(e,t){return f(o(e),t,l,!1).valueOf()},"any, Array":function(e,t){return f(o(t),e,l,!0).valueOf()}});return l.toTex={2:"\\left(${args[0]}".concat(i.operators.or,"${args[1]}\\right)")},l}},function(e,t,p){"use strict";t.name="xor",t.factory=function(e,t,r,n){var i=p(4),o=r(p(1)),a=r(p(18)),s=r(p(28)),u=r(p(19)),c=r(p(7)),f=r(p(6)),l=n("xor",{"number, number":function(e,t){return!!e!=!!t},"Complex, Complex":function(e,t){return(0!==e.re||0!==e.im)!=(0!==t.re||0!==t.im)},"BigNumber, BigNumber":function(e,t){return(!e.isZero()&&!e.isNaN())!=(!t.isZero()&&!t.isNaN())},"Unit, Unit":function(e,t){return l(e.value||0,t.value||0)},"SparseMatrix, SparseMatrix":function(e,t){return s(e,t,l)},"SparseMatrix, DenseMatrix":function(e,t){return a(t,e,l,!0)},"DenseMatrix, SparseMatrix":function(e,t){return a(e,t,l,!1)},"DenseMatrix, DenseMatrix":function(e,t){return c(e,t,l)},"Array, Array":function(e,t){return l(o(e),o(t)).valueOf()},"Array, Matrix":function(e,t){return l(o(e),t)},"Matrix, Array":function(e,t){return l(e,o(t))},"SparseMatrix, any":function(e,t){return u(e,t,l,!1)},"DenseMatrix, any":function(e,t){return f(e,t,l,!1)},"any, SparseMatrix":function(e,t){return u(t,e,l,!0)},"any, DenseMatrix":function(e,t){return f(t,e,l,!0)},"Array, any":function(e,t){return f(o(e),t,l,!1).valueOf()},"any, Array":function(e,t){return f(o(t),e,l,!0).valueOf()}});return l.toTex={2:"\\left(${args[0]}".concat(i.operators.xor,"${args[1]}\\right)")},l}},function(e,t,r){"use strict";e.exports=[r(95),r(77),r(272),r(273),r(127),r(274),r(275),r(276),r(277),r(278),r(279),r(280),r(50),r(70),r(281),r(142),r(282),r(96),r(143),r(283),r(284),r(27),r(285),r(287),r(288),r(22),r(289),r(72),r(43),r(290)]},function(e,t,c){"use strict";var f=c(2);t.name="cross",t.factory=function(e,t,r,n){var i=r(c(1)),a=r(c(15)),s=r(c(10)),o=n("cross",{"Matrix, Matrix":function(e,t){return i(u(e.toArray(),t.toArray()))},"Matrix, Array":function(e,t){return i(u(e.toArray(),t))},"Array, Matrix":function(e,t){return i(u(e,t.toArray()))},"Array, Array":u});return o.toTex={2:"\\left(${args[0]}\\right)\\times\\left(${args[1]}\\right)"},o;function u(e,t){var r=Math.max(f.size(e).length,f.size(t).length);e=f.squeeze(e),t=f.squeeze(t);var n=f.size(e),i=f.size(t);if(1!==n.length||1!==i.length||3!==n[0]||3!==i[0])throw new RangeError("Vectors with length 3 expected (Size A = ["+n.join(", ")+"], B = ["+i.join(", ")+"])");var o=[a(s(e[1],t[2]),s(e[2],t[1])),a(s(e[2],t[0]),s(e[0],t[2])),a(s(e[0],t[1]),s(e[1],t[0]))];return 1<r?[o]:o}}},function(e,t,u){"use strict";t.name="ctranspose",t.factory=function(e,t,r,n){var i=r(u(72)),o=r(u(71)),a=u(4),s=n("ctranspose",{any:function(e){return o(i(e))}});return s.toTex={1:"\\left(${args[0]}\\right)".concat(a.operators.ctranspose)},s}},function(e,t,o){"use strict";var a=o(2),s=o(3).isInteger;t.name="diag",t.factory=function(f,e,t,r){var l=t(o(1)),n=r("diag",{Array:function(e){return i(e,0,a.size(e),null)},"Array, number":function(e,t){return i(e,t,a.size(e),null)},"Array, BigNumber":function(e,t){return i(e,t.toNumber(),a.size(e),null)},"Array, string":function(e,t){return i(e,0,a.size(e),t)},"Array, number, string":function(e,t,r){return i(e,t,a.size(e),r)},"Array, BigNumber, string":function(e,t,r){return i(e,t.toNumber(),a.size(e),r)},Matrix:function(e){return i(e,0,e.size(),e.storage())},"Matrix, number":function(e,t){return i(e,t,e.size(),e.storage())},"Matrix, BigNumber":function(e,t){return i(e,t.toNumber(),e.size(),e.storage())},"Matrix, string":function(e,t){return i(e,0,e.size(),t)},"Matrix, number, string":function(e,t,r){return i(e,t,e.size(),r)},"Matrix, BigNumber, string":function(e,t,r){return i(e,t.toNumber(),e.size(),r)}});return n.toTex=void 0,n;function i(e,t,r,n){if(!s(t))throw new TypeError("Second parameter in function diag must be an integer");var i=0<t?t:0,o=t<0?-t:0;switch(r.length){case 1:return function(e,t,r,n,i,o){var a=[n+i,n+o],s=f.Matrix.storage(r||"dense").diagonal(a,e,t);return null!==r?s:s.valueOf()}(e,t,n,r[0],o,i);case 2:return function(e,t,r,n,i,o){if(f.isMatrix(e)){var a=e.diagonal(t);return null!==r?r!==a.storage()?l(a,r):a:a.valueOf()}for(var s=Math.min(n[0]-i,n[1]-o),u=[],c=0;c<s;c++)u[c]=e[c+i][c+o];return null!==r?l(u):u}(e,t,n,r,o,i)}throw new RangeError("Matrix for function diag must be 2 dimensional")}}},function(e,t,a){"use strict";var c=a(2).size;t.name="dot",t.factory=function(e,t,r,n){var s=r(a(14)),u=r(a(10)),i=n("dot",{"Matrix, Matrix":function(e,t){return o(e.toArray(),t.toArray())},"Matrix, Array":function(e,t){return o(e.toArray(),t)},"Array, Matrix":function(e,t){return o(e,t.toArray())},"Array, Array":o});return i.toTex={2:"\\left(${args[0]}\\cdot${args[1]}\\right)"},i;function o(e,t){var r=c(e),n=c(t),i=r[0];if(1!==r.length||1!==n.length)throw new RangeError("Vector expected");if(r[0]!==n[0])throw new RangeError("Vectors must have equal length ("+r[0]+" != "+n[0]+")");if(0===i)throw new RangeError("Cannot calculate the dot product of empty vectors");for(var o=0,a=0;a<i;a++)o=s(o,u(e[a],t[a]));return o}}},function(e,t,r){"use strict";t.name="eye",t.factory=function(e,t,r,n){return function(){throw new Error('Function "eye" is renamed to "identity" since mathjs version 5.0.0. To keep eye working, create an alias for it using "math.import({eye: math.identity}, {override: true})"')}}},function(e,t,i){"use strict";var M=i(9).format;t.name="expm",t.factory=function(d,e,t,r){var y=t(i(23)),g=t(i(14)),v=t(i(50)),x=t(i(70)),b=t(i(10)),w=d.SparseMatrix,n=r("expm",{Matrix:function(e){var t=e.size();if(2!==t.length||t[0]!==t[1])throw new RangeError("Matrix must be square (size: "+M(t)+")");for(var r=t[0],n=function(e,t){for(var r=0;r<30;r++)for(var n=0;n<=r;n++){var i=r-n;if(N(e,n,i)<t)return{q:n,j:i}}throw new Error("Could not find acceptable parameters to compute the matrix exponential (try increasing maxSearchSize in expm.js)")}(function(e){for(var t=e.size()[0],r=0,n=0;n<t;n++){for(var i=0,o=0;o<t;o++)i+=y(e.get([n,o]));r=Math.max(i,r)}return r}(e),1e-15),i=n.q,o=n.j,a=b(e,Math.pow(2,-o)),s=v(r),u=v(r),c=1,f=a,l=-1,p=1;p<=i;p++)1<p&&(f=b(f,a),l=-l),s=g(s,b(c=c*(i-p+1)/((2*i-p+1)*p),f)),u=g(u,b(c*l,f));for(var m=b(x(u),s),h=0;h<o;h++)m=b(m,m);return d.isSparseMatrix(e)?new w(m):m}});function N(e,t,r){for(var n=1,i=2;i<=t;i++)n*=i;for(var o=n,a=t+1;a<=2*t;a++)o*=a;var s=o*(2*t+1);return 8*Math.pow(e/Math.pow(2,r),2*t)*n*n/(o*s)}return n.toTex={1:"\\exp\\left(${args[0]}\\right)"},n}},function(e,t,a){"use strict";var r=a(2).filter,s=a(2).filterRegExp,o=a(36).maxArgumentCount;function u(e,n){var i=o(n);return r(e,function(e,t,r){return 1===i?n(e):2===i?n(e,[t]):n(e,[t],r)})}t.name="filter",t.factory=function(e,t,r,n){var i=r(a(1)),o=n("filter",{"Array, function":u,"Matrix, function":function(e,t){return i(u(e.toArray(),t))},"Array, RegExp":s,"Matrix, RegExp":function(e,t){return i(s(e.toArray(),t))}});return o.toTex=void 0,o}},function(e,t,a){"use strict";var s=a(5).clone,u=a(2).flatten;t.name="flatten",t.factory=function(e,t,r,n){var i=r(a(1)),o=n("flatten",{Array:function(e){return u(s(e))},Matrix:function(e){var t=u(s(e.toArray()));return i(t)}});return o.toTex=void 0,o}},function(e,t,r){"use strict";var n=r(36).maxArgumentCount,a=r(2).forEach;function o(t,i){var o=n(i);!function r(e,n){Array.isArray(e)?a(e,function(e,t){r(e,n.concat(t))}):1===o?i(e):2===o?i(e,n):i(e,n,t)}(t,[])}t.name="forEach",t.factory=function(e,t,r,n){var i=n("forEach",{"Array, function":o,"Matrix, function":function(e,t){return e.forEach(t)}});return i.toTex=void 0,i}},function(e,t,s){"use strict";var u=s(2).size;t.name="kron",t.factory=function(e,t,r,n){var i=r(s(1)),o=r(s(21));return n("kron",{"Matrix, Matrix":function(e,t){return i(a(e.toArray(),t.toArray()))},"Matrix, Array":function(e,t){return i(a(e.toArray(),t))},"Array, Matrix":function(e,t){return i(a(e,t.toArray()))},"Array, Array":a});function a(e,r){if(1===u(e).length&&(e=[e]),1===u(r).length&&(r=[r]),2<u(e).length||2<u(r).length)throw new RangeError("Vectors with dimensions greater then 2 are not supported expected (Size x = "+JSON.stringify(e.length)+", y = "+JSON.stringify(r.length)+")");var n=[],i=[];return e.map(function(t){return r.map(function(e){return i=[],n.push(i),t.map(function(t){return e.map(function(e){return i.push(o(t,e))})})})})&&n}}},function(e,t,s){"use strict";var u=s(3).isInteger,c=s(2).resize;t.name="ones",t.factory=function(o,r,e,t){var a=e(s(1)),n=t("ones",{"":function(){return"Array"===r.matrix?i([]):i([],"default")},"...number | BigNumber | string":function(e){if("string"!=typeof e[e.length-1])return"Array"===r.matrix?i(e):i(e,"default");var t=e.pop();return i(e,t)},Array:i,Matrix:function(e){var t=e.storage();return i(e.valueOf(),t)},"Array | Matrix, string":function(e,t){return i(e.valueOf(),t)}});return n.toTex=void 0,n;function i(e,t){var r=function(e){var n=!1;return e.forEach(function(e,t,r){o.isBigNumber(e)&&(n=!0,r[t]=e.toNumber())}),n}(e)?new o.BigNumber(1):1;if(function(e){e.forEach(function(e){if("number"!=typeof e||!u(e)||e<0)throw new Error("Parameters in function ones must be positive integers")})}(e),t){var n=a(t);return 0<e.length?n.resize(e,r):n}var i=[];return 0<e.length?c(i,e,r):i}}},function(e,t,s){"use strict";var u=s(2);t.name="reshape",t.factory=function(e,t,r,n){var i=r(s(1)),o=r(s(34)),a=n("reshape",{"Matrix, Array":function(e,t){return e.reshape?e.reshape(t):i(u.reshape(e.valueOf(),t))},"Array, Array":function(e,t){return t.forEach(function(e){if(!o(e))throw new TypeError("Invalid size for dimension: "+e)}),u.reshape(e,t)}});return a.toTex=void 0,a}},function(e,t,n){"use strict";var u=n(8),c=n(57),f=n(3).isInteger,l=n(9).format,p=n(5).clone,m=n(2);t.name="resize",t.factory=function(o,a,e,t){var s=e(n(1)),r=function(e,t,r){if(2!==arguments.length&&3!==arguments.length)throw new c("resize",arguments.length,2,3);if(o.isMatrix(t)&&(t=t.valueOf()),o.isBigNumber(t[0])&&(t=t.map(function(e){return o.isBigNumber(e)?e.toNumber():e})),o.isMatrix(e))return e.resize(t,r,!0);if("string"==typeof e)return function(e,t,r){if(void 0!==r){if("string"!=typeof r||1!==r.length)throw new TypeError("Single character expected as defaultValue")}else r=" ";if(1!==t.length)throw new u(t.length,1);var n=t[0];if("number"!=typeof n||!f(n))throw new TypeError("Invalid size, must contain positive integers (size: "+l(t)+")");if(e.length>n)return e.substring(0,n);if(e.length<n){for(var i=e,o=0,a=n-e.length;o<a;o++)i+=r;return i}return e}(e,t,r);var n=!Array.isArray(e)&&"Array"!==a.matrix;if(0===t.length){for(;Array.isArray(e);)e=e[0];return p(e)}Array.isArray(e)||(e=[e]),e=p(e);var i=m.resize(e,t,r);return n?s(i):i};return r.toTex=void 0,r}},function(e,t,p){"use strict";var m=p(2).size;t.name="sort",t.factory=function(e,t,r,n){var i=r(p(1)),o=r(p(55)),a=function(e,t){return-o(e,t)},s=r(p(30)),u=n("sort",{Array:function(e){return f(e),e.sort(o)},Matrix:function(e){return l(e),i(e.toArray().sort(o),e.storage())},"Array, function":function(e,t){return f(e),e.sort(t)},"Matrix, function":function(e,t){return l(e),i(e.toArray().sort(t),e.storage())},"Array, string":function(e,t){return f(e),e.sort(c(t))},"Matrix, string":function(e,t){return l(e),i(e.toArray().sort(c(t)),e.storage())}});function c(e){if("asc"===e)return o;if("desc"===e)return a;if("natural"===e)return s;throw new Error('String "asc", "desc", or "natural" expected')}function f(e){if(1!==m(e).length)throw new Error("One dimensional array expected")}function l(e){if(1!==e.size().length)throw new Error("One dimensional matrix expected")}return u.toTex=void 0,u}},function(e,t){e.exports=function t(e,r){"use strict";var n,i,o=/(^([+\-]?(?:0|[1-9]\d*)(?:\.\d*)?(?:[eE][+\-]?\d+)?)?$|^0x[0-9a-f]+$|\d+)/gi,a=/(^[ ]*|[ ]*$)/g,s=/(^([\w ]+,?[\w ]+)?[\w ]+,?[\w ]+\d+:\d+(:\d+)?[\w ]?|^\d{1,4}[\/\-]\d{1,4}[\/\-]\d{1,4}|^\w+, \w+ \d+, \d{4})/,u=/^0x[0-9a-f]+$/i,c=/^0/,f=function(e){return t.insensitive&&(""+e).toLowerCase()||""+e},l=f(e).replace(a,"")||"",p=f(r).replace(a,"")||"",m=l.replace(o,"\0$1\0").replace(/\0$/,"").replace(/^\0/,"").split("\0"),h=p.replace(o,"\0$1\0").replace(/\0$/,"").replace(/^\0/,"").split("\0"),d=parseInt(l.match(u),16)||1!==m.length&&l.match(s)&&Date.parse(l),y=parseInt(p.match(u),16)||d&&p.match(s)&&Date.parse(p)||null;if(y){if(d<y)return-1;if(y<d)return 1}for(var g=0,v=Math.max(m.length,h.length);g<v;g++){if(n=!(m[g]||"").match(c)&&parseFloat(m[g])||m[g]||0,i=!(h[g]||"").match(c)&&parseFloat(h[g])||h[g]||0,isNaN(n)!==isNaN(i))return isNaN(n)?1:-1;if(typeof n!=typeof i&&(n+="",i+=""),n<i)return-1;if(i<n)return 1}return 0}},function(e,t,y){"use strict";var g=y(2),v=y(4),x=y(9);t.name="sqrtm",t.factory=function(r,e,t,n){var a=t(y(23)),s=t(y(14)),u=t(y(10)),i=t(y(46)),c=t(y(15)),f=t(y(70)),l=t(y(27)),p=t(y(97)),m=t(y(50)),o=n("sqrtm",{"Array | Matrix":function(e){var t=r.isMatrix(e)?e.size():g.size(e);switch(t.length){case 1:if(1===t[0])return i(e);throw new RangeError("Matrix must be square (size: "+x.format(t)+")");case 2:if(t[0]===t[1])return function(e){var t,r=0,n=e,i=m(l(e));do{var o=n;if(n=u(.5,s(o,f(i))),i=u(.5,s(i,f(o))),t=p(a(c(n,o))),d<t&&++r>h)throw new Error("computing square root of matrix: iterative method could not converge")}while(d<t);return n}(e);throw new RangeError("Matrix must be square (size: "+x.format(t)+")")}}}),h=1e3,d=1e-6;return o.toTex={1:"{${args[0]}}".concat(v.operators.pow,"{\\frac{1}{2}}")},o}},function(e,t,a){"use strict";var s=a(5),u=a(2);t.name="squeeze",t.factory=function(e,t,r,n){var i=r(a(1)),o=n("squeeze",{Array:function(e){return u.squeeze(s.clone(e))},Matrix:function(e){var t=u.squeeze(e.toArray());return Array.isArray(t)?i(t):t},any:function(e){return s.clone(e)}});return o.toTex=void 0,o}},function(e,t,s){"use strict";var u=s(5).clone,h=s(9).format;t.name="trace",t.factory=function(e,t,r,n){var i=r(s(1)),m=r(s(14)),o=n("trace",{Array:function(e){return a(i(e))},SparseMatrix:function(e){var t=e._values,r=e._index,n=e._ptr,i=e._size,o=i[0],a=i[1];if(o!==a)throw new RangeError("Matrix must be square (size: "+h(i)+")");var s=0;if(0<t.length)for(var u=0;u<a;u++)for(var c=n[u],f=n[u+1],l=c;l<f;l++){var p=r[l];if(p===u){s=m(s,t[l]);break}if(u<p)break}return s},DenseMatrix:a,any:u});function a(e){var t=e._size,r=e._data;switch(t.length){case 1:if(1===t[0])return u(r[0]);throw new RangeError("Matrix must be square (size: "+h(t)+")");case 2:var n=t[0];if(n!==t[1])throw new RangeError("Matrix must be square (size: "+h(t)+")");for(var i=0,o=0;o<n;o++)i=m(i,r[o][o]);return i;default:throw new RangeError("Matrix must be two dimensional (size: "+h(t)+")")}}return o.toTex={1:"\\mathrm{tr}\\left(${args[0]}\\right)"},o}},function(e,t,o){"use strict";t.name="getMatrixDataType",t.factory=function(e,t,r,n){var i=r(o(63));return n("getMatrixDataType",{Array:function(e){return i(e)},Matrix:function(e){return e.getDataType()}})}},function(e,t,r){"use strict";e.exports=[r(76),r(75),r(140),r(292),r(293),r(294),r(295),r(299),r(300)]},function(e,t,a){"use strict";t.name="kldivergence",t.factory=function(e,t,r,n){var i=r(a(1)),s=r(a(45)),u=r(a(98)),c=r(a(10)),f=r(a(137)),l=r(a(90)),p=r(a(52));function o(e,t){var r=t.size().length,n=e.size().length;if(1<r)throw new Error("first object must be one dimensional");if(1<n)throw new Error("second object must be one dimensional");if(r!==n)throw new Error("Length of two vectors must be equal");if(0===u(e))throw new Error("Sum of elements in first object must be non zero");if(0===u(t))throw new Error("Sum of elements in second object must be non zero");var i=s(e,u(e)),o=s(t,u(t)),a=u(c(i,l(f(i,o))));return p(a)?a:Number.NaN}return n("kldivergence",{"Array, Array":function(e,t){return o(i(e),i(t))},"Matrix, Array":function(e,t){return o(e,i(t))},"Array, Matrix":function(e,t){return o(i(e),t)},"Matrix, Matrix":function(e,t){return o(e,t)}})}},function(e,t,f){"use strict";var l=f(47);t.name="multinomial",t.factory=function(e,t,r,n){var i=r(f(14)),o=r(f(10)),a=r(f(45)),s=r(f(75)),u=r(f(34)),c=r(f(73));return n("multinomial",{"Array | Matrix":function(e){var t=0,r=1;return l(e,function(e){if(!u(e)||!c(e))throw new TypeError("Positive integer value expected in function multinomial");t=i(t,e),r=o(r,s(e))}),a(s(t),r)}})}},function(e,t,s){"use strict";var u=s(3).isInteger;function c(e){return e.isInteger()&&e.gte(0)}t.name="permutations",t.factory=function(i,e,t,r){var n=t(s(75)),o=s(94),a=r("permutations",{"number | BigNumber":n,"number, number":function(e,t){if(!u(e)||e<0)throw new TypeError("Positive integer value expected in function permutations");if(!u(t)||t<0)throw new TypeError("Positive integer value expected in function permutations");if(e<t)throw new TypeError("second argument k must be less than or equal to first argument n");return o(e-t+1,e)},"BigNumber, BigNumber":function(e,t){var r,n;if(!c(e)||!c(t))throw new TypeError("Positive integer value expected in function permutations");if(t.gt(e))throw new TypeError("second argument k must be less than or equal to first argument n");for(r=new i.BigNumber(1),n=e.minus(t).plus(1);n.lte(e);n=n.plus(1))r=r.times(n);return r}});return a.toTex=void 0,a}},function(e,t,o){"use strict";t.name="pickRandom",t.factory=function(e,t,r,n){var i=r(o(99))("uniform").pickRandom;return i.toTex=void 0,i}},function(e,t,r){"use strict";var s=r(297),u=s();t.factory=function(e,t,r,n,i){var o;function a(e){o=null===e?u:s(String(e))}return a(t.randomSeed),i.on("config",function(e,t,r){void 0!==r.randomSeed&&a(e.randomSeed)}),function(){return o()}},t.math=!0},function(p,e,t){"use strict";(function(e){var i=[],o=void 0===e?window:e,a=Math.pow(256,6),s=Math.pow(2,52),u=2*s,t=Math.random;function c(e){var t,r=e.length,a=this,n=0,i=a.i=a.j=0,o=a.S=[];for(r||(e=[r++]);n<256;)o[n]=n++;for(n=0;n<256;n++)o[n]=o[i=255&i+e[n%r]+(t=o[n])],o[i]=t;(a.g=function(e){for(var t,r=0,n=a.i,i=a.j,o=a.S;e--;)t=o[n=255&n+1],r=256*r+o[255&(o[n]=o[i=255&i+t])+(o[i]=t)];return a.i=n,a.j=i,r})(256)}function f(e,t){for(var r,n=e+"",i=0;i<n.length;)t[255&i]=255&(r^=19*t[255&i])+n.charCodeAt(i++);return l(t)}function l(e){return String.fromCharCode.apply(0,e)}p.exports=function(e,t){if(t&&!0===t.global)return t.global=!1,Math.random=p.exports(e,t),t.global=!0,Math.random;var r=[],n=(f(function e(t,r){var n,i=[],o=(typeof t)[0];if(r&&"o"==o)for(n in t)try{i.push(e(t[n],r-1))}catch(e){}return i.length?i:"s"==o?t:t+"\0"}(t&&t.entropy||!1?[e,l(i)]:0 in arguments?e:function(e){try{return o.crypto.getRandomValues(e=new Uint8Array(256)),l(e)}catch(e){return[+new Date,o,o.navigator&&o.navigator.plugins,o.screen,l(i)]}}(),3),r),new c(r));return f(l(n.S),i),function(){for(var e=n.g(6),t=a,r=0;e<s;)e=256*(e+r),t*=256,r=n.g(1);for(;u<=e;)e/=2,t/=2,r>>>=1;return(e+r)/t}},p.exports.resetGlobal=function(){Math.random=t},f(Math.random(),i)}).call(this,t(298))},function(e,t){var r;r=function(){return this}();try{r=r||new Function("return this")()}catch(e){"object"==typeof window&&(r=window)}e.exports=r},function(e,t,o){"use strict";t.name="random",t.factory=function(e,t,r,n){var i=r(o(99))("uniform").random;return i.toTex=void 0,i}},function(e,t,o){"use strict";t.name="randomInt",t.factory=function(e,t,r,n){var i=r(o(99))("uniform").randomInt;return i.toTex=void 0,i}},function(e,t,r){"use strict";e.exports=[r(55),r(30),r(145),r(302),r(51),r(303),r(33),r(88),r(38),r(144),r(129)]},function(e,t,a){"use strict";t.name="deepEqual",t.factory=function(e,t,r,n){var o=r(a(51)),i=n("deepEqual",{"any, any":function(e,t){return function e(t,r){if(Array.isArray(t)){if(Array.isArray(r)){var n=t.length;if(n!==r.length)return!1;for(var i=0;i<n;i++)if(!e(t[i],r[i]))return!1;return!0}return!1}return!Array.isArray(r)&&o(t,r)}(e.valueOf(),t.valueOf())}});return i.toTex=void 0,i}},function(e,t,s){"use strict";t.name="equalText",t.factory=function(e,t,r,n){var i=r(s(145)),o=r(s(60)),a=n("equalText",{"any, any":function(e,t){return o(i(e,t))}});return a.toTex=void 0,a}},function(e,t,r){"use strict";e.exports=[r(305),r(146),r(306),r(147),r(307),r(308),r(309),r(310),r(148),r(311)]},function(e,t,i){"use strict";var p=i(2).flatten;t.name="setCartesian",t.factory=function(e,t,r,n){var s=r(i(29)),u=r(i(49)),c=r(i(27)),f=r(i(22)),l=r(i(30));return n("setCartesian",{"Array | Matrix, Array | Matrix":function(e,t){var r=[];if(0!==f(c(e),new s(0))&&0!==f(c(t),new s(0))){var n=p(Array.isArray(e)?e:e.toArray()).sort(l),i=p(Array.isArray(t)?t:t.toArray()).sort(l);r=[];for(var o=0;o<n.length;o++)for(var a=0;a<i.length;a++)r.push([n[o],i[a]])}return Array.isArray(e)&&Array.isArray(t)?r:new u(r)}})}},function(e,t,c){"use strict";var f=c(2).flatten;t.name="setDistinct",t.factory=function(e,t,r,n){var i=r(c(29)),o=r(c(49)),a=r(c(27)),s=r(c(22)),u=r(c(30));return n("setDistinct",{"Array | Matrix":function(e){var t;if(0===s(a(e),new i(0)))t=[];else{var r=f(Array.isArray(e)?e:e.toArray()).sort(u);(t=[]).push(r[0]);for(var n=1;n<r.length;n++)0!==u(r[n],r[n-1])&&t.push(r[n])}return Array.isArray(e)?t:new o(t)}})}},function(e,t,i){"use strict";var l=i(2).flatten,p=i(2).identify;t.name="setIsSubset",t.factory=function(e,t,r,n){var s=r(i(29)),u=r(i(27)),c=r(i(22)),f=r(i(30));return n("setIsSubset",{"Array | Matrix, Array | Matrix":function(e,t){if(0===c(u(e),new s(0)))return!0;if(0===c(u(t),new s(0)))return!1;for(var r,n=p(l(Array.isArray(e)?e:e.toArray()).sort(f)),i=p(l(Array.isArray(t)?t:t.toArray()).sort(f)),o=0;o<n.length;o++){r=!1;for(var a=0;a<i.length;a++)if(0===f(n[o].value,i[a].value)&&n[o].identifier===i[a].identifier){r=!0;break}if(!1===r)return!1}return!0}})}},function(e,t,i){"use strict";var c=i(2).flatten;t.name="setMultiplicity",t.factory=function(e,t,r,n){var o=r(i(30)),a=r(i(29)),s=r(i(27)),u=r(i(22));return n("setMultiplicity",{"number | BigNumber | Fraction | Complex, Array | Matrix":function(e,t){if(0===u(s(t),new a(0)))return 0;for(var r=c(Array.isArray(t)?t:t.toArray()),n=0,i=0;i<r.length;i++)0===o(r[i],e)&&n++;return n}})}},function(e,t,c){"use strict";var f=c(2).flatten;t.name="setPowerset",t.factory=function(e,t,r,n){var i=r(c(29)),o=r(c(27)),a=r(c(22)),s=r(c(30));return n("setPowerset",{"Array | Matrix":function(e){if(0===a(o(e),new i(0)))return[];for(var t=f(Array.isArray(e)?e:e.toArray()).sort(s),r=[],n=0;n.toString(2).length<=t.length;)r.push(u(t,n.toString(2).split("").reverse())),n++;return function(e){for(var t=[],r=e.length-1;0<r;r--)for(var n=0;n<r;n++)e[n].length>e[n+1].length&&(t=e[n],e[n]=e[n+1],e[n+1]=t);return e}(r)}});function u(e,t){for(var r=[],n=0;n<t.length;n++)"1"===t[n]&&r.push(e[n]);return r}}},function(e,t,i){"use strict";var a=i(2).flatten;t.name="setSize",t.factory=function(e,t,r,n){var o=r(i(30));return n("setSize",{"Array | Matrix":function(e){return Array.isArray(e)?a(e).length:a(e.toArray()).length},"Array | Matrix, boolean":function(e,t){if(!1===t||0===e.length)return Array.isArray(e)?a(e).length:a(e.toArray()).length;for(var r=a(Array.isArray(e)?e:e.toArray()).sort(o),n=1,i=1;i<r.length;i++)0!==o(r[i],r[i-1])&&n++;return n}})}},function(e,t,f){"use strict";var l=f(2).flatten;t.name="setUnion",t.factory=function(e,t,r,n){var i=r(f(29)),o=r(f(77)),a=r(f(27)),s=r(f(22)),u=r(f(147)),c=r(f(148));return n("setUnion",{"Array | Matrix, Array | Matrix":function(e,t){if(0===s(a(e),new i(0)))return l(t);if(0===s(a(t),new i(0)))return l(e);var r=l(e),n=l(t);return o(c(r,n),u(r,n))}})}},function(e,t,r){"use strict";e.exports=[r(313)]},function(e,t,r){"use strict";var o=r(0),a=r(3).sign;var s=[[3.1611237438705655,113.86415415105016,377.485237685302,3209.3775891384694,.18577770618460315],[.5641884969886701,8.883149794388377,66.11919063714163,298.6351381974001,881.952221241769,1712.0476126340707,2051.0783778260716,1230.3393547979972,2.1531153547440383e-8],[.30532663496123236,.36034489994980445,.12578172611122926,.016083785148742275,.0006587491615298378,.016315387137302097]],u=[[23.601290952344122,244.02463793444417,1282.6165260773723,2844.236833439171],[15.744926110709835,117.6939508913125,537.1811018620099,1621.3895745666903,3290.7992357334597,4362.619090143247,3439.3676741437216,1230.3393548037495],[2.568520192289822,1.8729528499234604,.5279051029514285,.06051834131244132,.0023352049762686918]],c=Math.pow(2,53);t.name="erf",t.factory=function(t,e,r,n){var i=n("erf",{number:function(e){var t=Math.abs(e);return c<=t?a(e):t<=.46875?a(e)*function(e){var t,r=e*e,n=s[0][4]*r,i=r;for(t=0;t<3;t+=1)n=(n+s[0][t])*r,i=(i+u[0][t])*r;return e*(n+s[0][3])/(i+u[0][3])}(t):t<=4?a(e)*(1-function(e){var t,r=s[1][8]*e,n=e;for(t=0;t<7;t+=1)r=(r+s[1][t])*e,n=(n+u[1][t])*e;var i=(r+s[1][7])/(n+u[1][7]),o=parseInt(16*e)/16,a=(e-o)*(e+o);return Math.exp(-o*o)*Math.exp(-a)*i}(t)):a(e)*(1-function(e){var t,r=1/(e*e),n=s[2][5]*r,i=r;for(t=0;t<4;t+=1)n=(n+s[2][t])*r,i=(i+u[2][t])*r;var o=r*(n+s[2][4])/(i+u[2][4]);o=(.5641895835477563-o)/e,r=parseInt(16*e)/16;var a=(e-r)*(e+r);return Math.exp(-r*r)*Math.exp(-a)*o}(t))},BigNumber:function(e){return new t.BigNumber(i(e.toNumber()))},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"erf\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";e.exports=[r(315),r(97),r(150),r(149),r(151),r(316),r(317),r(318),r(152),r(98),r(100)]},function(e,t,l){"use strict";var p=l(2).flatten;t.name="mad",t.factory=function(e,t,r,n){var i=r(l(23)),o=r(l(142)),a=r(l(149)),s=r(l(15)),u=r(l(40)),c=n("mad",{"Array | Matrix":f,"...":function(e){return f(e)}});return c.toTex=void 0,c;function f(e){if(0===(e=p(e.valueOf())).length)throw new Error("Cannot calculate median absolute deviation (mad) of an empty array");try{var t=a(e);return a(o(e,function(e){return i(s(e,t))}))}catch(e){throw e instanceof TypeError&&-1!==e.message.indexOf("median")?new TypeError(e.message.replace("median","mad")):u(e,"mad")}}}},function(e,t,o){"use strict";var u=o(2).flatten;t.name="mode",t.factory=function(e,t,r,n){var a=r(o(78)),s=r(o(52));return n("mode",{"Array | Matrix":i,"...":function(e){return i(e)}});function i(e){if(0===(e=u(e.valueOf())).length)throw new Error("Cannot calculate mode of an empty array");for(var t={},r=[],n=0,i=0;i<e.length;i++){var o=e[i];if(s(o)&&a(o))throw new Error("Cannot calculate mode of an array containing NaN values");o in t||(t[o]=0),t[o]++,t[o]===n?r.push(o):t[o]>n&&(n=t[o],r=[o])}return r}}},function(e,t,u){"use strict";var c=u(47);t.name="prod",t.factory=function(e,t,r,n){var i=r(u(21)),o=r(u(40)),a=n("prod",{"Array | Matrix":s,"Array | Matrix, number | BigNumber":function(e,t){throw new Error("prod(A, dim) is not yet supported")},"...":function(e){return s(e)}});return a.toTex=void 0,a;function s(e){var r;if(c(e,function(t){try{r=void 0===r?t:i(r,t)}catch(e){throw o(e,"prod",t)}}),void 0===r)throw new Error("Cannot calculate prod of an empty array");return r}}},function(e,t,n){"use strict";var d=n(3).isInteger,S=n(3).isNumber,O=n(2).flatten,y=n(35);t.name="quantileSeq",t.factory=function(m,e,t,r){var w=t(n(14)),N=t(n(10)),M=t(n(96)),E=t(n(55));function h(e,t,r){var n=O(e),i=n.length;if(0===i)throw new Error("Cannot calculate quantile of an empty sequence");if(S(t)){var o=t*(i-1),a=o%1;if(0==a){var s=r?n[o]:M(n,o);return A(s),s}var u,c,f=Math.floor(o);if(r)u=n[f],c=n[f+1];else{c=M(n,f+1),u=n[f];for(var l=0;l<f;++l)0<E(n[l],u)&&(u=n[l])}return A(u),A(c),w(N(u,1-a),N(c,a))}var p=t.times(i-1);if(p.isInteger()){p=p.toNumber();var m=r?n[p]:M(n,p);return A(m),m}var h,d,y=p.floor(),g=p.minus(y),v=y.toNumber();if(r)h=n[v],d=n[v+1];else{d=M(n,v+1),h=n[v];for(var x=0;x<v;++x)0<E(n[x],h)&&(h=n[x])}A(h),A(d);var b=new g.constructor(1);return w(N(h,b.minus(g)),N(d,g))}var A=r({"number | BigNumber | Unit":function(e){return e}});return function(e,t,r){var n,i,o;if(arguments.length<2||3<arguments.length)throw new SyntaxError("Function quantileSeq requires two or three parameters");if(y(e)){if("boolean"!=typeof(r=r||!1))throw new TypeError("Unexpected type of argument in function quantileSeq");if(i=e.valueOf(),S(t)){if(t<0)throw new Error("N/prob must be non-negative");if(t<=1)return h(i,t,r);if(1<t){if(!d(t))throw new Error("N must be a positive integer");var a=t+1;n=new Array(t);for(var s=0;s<t;)n[s]=h(i,++s/a,r);return n}}if(m.isBigNumber(t)){if(t.isNegative())throw new Error("N/prob must be non-negative");if(o=new t.constructor(1),t.lte(o))return new m.BigNumber(h(i,t,r));if(t.gt(o)){if(!t.isInteger())throw new Error("N must be a positive integer");var u=t.toNumber();if(4294967295<u)throw new Error("N must be less than or equal to 2^32-1, as that is the maximum length of an Array");var c=new m.BigNumber(u+1);n=new Array(u);for(var f=0;f<u;)n[f]=new m.BigNumber(h(i,new m.BigNumber(++f).div(c),r));return n}}if(Array.isArray(t)){n=new Array(t.length);for(var l=0;l<n.length;++l){var p=t[l];if(S(p)){if(p<0||1<p)throw new Error("Probability must be between 0 and 1, inclusive")}else{if(!m.isBigNumber(p))throw new TypeError("Unexpected type of argument in function quantileSeq");if(o=new p.constructor(1),p.isNegative()||p.gt(o))throw new Error("Probability must be between 0 and 1, inclusive")}n[l]=h(i,p,r)}return n}throw new TypeError("Unexpected type of argument in function quantileSeq")}throw new TypeError("Unexpected type of argument in function quantileSeq")}}},function(e,t,r){"use strict";e.exports=[r(111),r(320)]},function(e,t,r){"use strict";var s=r(9).isString,u=r(9).format;function o(e,o,a){return e.replace(/\$([\w.]+)/g,function(e,t){for(var r=t.split("."),n=o[r.shift()];r.length&&void 0!==n;){var i=r.shift();n=i?n[i]:n+"."}return void 0!==n?s(n)?n:u(n,a):e})}t.name="print",t.factory=function(e,t,r,n){var i=n("print",{"string, Object | Array":o,"string, Object | Array, number | Object":o});return i.toTex=void 0,i}},function(e,t,r){"use strict";e.exports=[r(322),r(323),r(324),r(325),r(326),r(327),r(328),r(329),r(330),r(331),r(332),r(333),r(334),r(335),r(336),r(337),r(338),r(339),r(340),r(341),r(342),r(343),r(344),r(345),r(346)]},function(e,t,r){"use strict";var o=r(0);t.name="acos",t.factory=function(t,r,e,n){var i=n("acos",{number:function(e){return-1<=e&&e<=1||r.predictable?Math.acos(e):new t.Complex(e,0).acos()},Complex:function(e){return e.acos()},BigNumber:function(e){return e.acos()},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\cos^{-1}\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);var a=Math.acosh||function(e){return Math.log(Math.sqrt(e*e-1)+e)};t.name="acosh",t.factory=function(t,r,e,n){var i=n("acosh",{number:function(e){return 1<=e||r.predictable?a(e):e<=-1?new t.Complex(Math.log(Math.sqrt(e*e-1)-e),Math.PI):new t.Complex(e,0).acosh()},Complex:function(e){return e.acosh()},BigNumber:function(e){return e.acosh()},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\cosh^{-1}\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);t.name="acot",t.factory=function(t,e,r,n){var i=n("acot",{number:function(e){return Math.atan(1/e)},Complex:function(e){return e.acot()},BigNumber:function(e){return new t.BigNumber(1).div(e).atan()},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\cot^{-1}\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);t.name="acoth",t.factory=function(t,r,e,n){var i=n("acoth",{number:function(e){return 1<=e||e<=-1||r.predictable?isFinite(e)?(Math.log((e+1)/e)+Math.log(e/(e-1)))/2:0:new t.Complex(e,0).acoth()},Complex:function(e){return e.acoth()},BigNumber:function(e){return new t.BigNumber(1).div(e).atanh()},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\coth^{-1}\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);t.name="acsc",t.factory=function(t,r,e,n){var i=n("acsc",{number:function(e){return e<=-1||1<=e||r.predictable?Math.asin(1/e):new t.Complex(e,0).acsc()},Complex:function(e){return e.acsc()},BigNumber:function(e){return new t.BigNumber(1).div(e).asin()},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\csc^{-1}\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);t.name="acsch",t.factory=function(t,e,r,n){var i=n("acsch",{number:function(e){return e=1/e,Math.log(e+Math.sqrt(e*e+1))},Complex:function(e){return e.acsch()},BigNumber:function(e){return new t.BigNumber(1).div(e).asinh()},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\mathrm{csch}^{-1}\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);t.name="asec",t.factory=function(t,r,e,n){var i=n("asec",{number:function(e){return e<=-1||1<=e||r.predictable?Math.acos(1/e):new t.Complex(e,0).asec()},Complex:function(e){return e.asec()},BigNumber:function(e){return new t.BigNumber(1).div(e).acos()},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\sec^{-1}\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);t.name="asech",t.factory=function(r,n,e,t){var i=t("asech",{number:function(e){if(e<=1&&-1<=e||n.predictable){e=1/e;var t=Math.sqrt(e*e-1);return 0<e||n.predictable?Math.log(t+e):new r.Complex(Math.log(t-e),Math.PI)}return new r.Complex(e,0).asech()},Complex:function(e){return e.asech()},BigNumber:function(e){return new r.BigNumber(1).div(e).acosh()},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\mathrm{sech}^{-1}\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);t.name="asin",t.factory=function(t,r,e,n){var i=n("asin",{number:function(e){return-1<=e&&e<=1||r.predictable?Math.asin(e):new t.Complex(e,0).asin()},Complex:function(e){return e.asin()},BigNumber:function(e){return e.asin()},"Array | Matrix":function(e){return o(e,i,!0)}});return i.toTex={1:"\\sin^{-1}\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);t.name="asinh",t.factory=function(e,t,r,n){var i=n("asinh",{number:Math.asinh||function(e){return Math.log(Math.sqrt(e*e+1)+e)},Complex:function(e){return e.asinh()},BigNumber:function(e){return e.asinh()},"Array | Matrix":function(e){return o(e,i,!0)}});return i.toTex={1:"\\sinh^{-1}\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);t.name="atan",t.factory=function(e,t,r,n){var i=n("atan",{number:function(e){return Math.atan(e)},Complex:function(e){return e.atan()},BigNumber:function(e){return e.atan()},"Array | Matrix":function(e){return o(e,i,!0)}});return i.toTex={1:"\\tan^{-1}\\left(${args[0]}\\right)"},i}},function(e,t,m){"use strict";t.name="atan2",t.factory=function(r,e,t,n){var i=t(m(1)),o=t(m(26)),a=t(m(18)),s=t(m(138)),u=t(m(20)),c=t(m(19)),f=t(m(7)),l=t(m(6)),p=n("atan2",{"number, number":Math.atan2,"BigNumber, BigNumber":function(e,t){return r.BigNumber.atan2(e,t)},"SparseMatrix, SparseMatrix":function(e,t){return s(e,t,p,!1)},"SparseMatrix, DenseMatrix":function(e,t){return o(t,e,p,!0)},"DenseMatrix, SparseMatrix":function(e,t){return a(e,t,p,!1)},"DenseMatrix, DenseMatrix":function(e,t){return f(e,t,p)},"Array, Array":function(e,t){return p(i(e),i(t)).valueOf()},"Array, Matrix":function(e,t){return p(i(e),t)},"Matrix, Array":function(e,t){return p(e,i(t))},"SparseMatrix, number | BigNumber":function(e,t){return u(e,t,p,!1)},"DenseMatrix, number | BigNumber":function(e,t){return l(e,t,p,!1)},"number | BigNumber, SparseMatrix":function(e,t){return c(t,e,p,!0)},"number | BigNumber, DenseMatrix":function(e,t){return l(t,e,p,!0)},"Array, number | BigNumber":function(e,t){return l(i(e),t,p,!1).valueOf()},"number | BigNumber, Array":function(e,t){return l(i(t),e,p,!0).valueOf()}});return p.toTex={2:"\\mathrm{atan2}\\left(${args}\\right)"},p}},function(e,t,r){"use strict";var o=r(0);var a=Math.atanh||function(e){return Math.log((1+e)/(1-e))/2};t.name="atanh",t.factory=function(t,r,e,n){var i=n("atanh",{number:function(e){return e<=1&&-1<=e||r.predictable?a(e):new t.Complex(e,0).atanh()},Complex:function(e){return e.atanh()},BigNumber:function(e){return e.atanh()},"Array | Matrix":function(e){return o(e,i,!0)}});return i.toTex={1:"\\tanh^{-1}\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);t.name="cos",t.factory=function(t,e,r,n){var i=n("cos",{number:Math.cos,Complex:function(e){return e.cos()},BigNumber:function(e){return e.cos()},Unit:function(e){if(!e.hasBase(t.Unit.BASE_UNITS.ANGLE))throw new TypeError("Unit in function cos is no angle");return i(e.value)},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\cos\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);var a=Math.cosh||function(e){return(Math.exp(e)+Math.exp(-e))/2};t.name="cosh",t.factory=function(t,e,r,n){var i=n("cosh",{number:a,Complex:function(e){return e.cosh()},BigNumber:function(e){return e.cosh()},Unit:function(e){if(!e.hasBase(t.Unit.BASE_UNITS.ANGLE))throw new TypeError("Unit in function cosh is no angle");return i(e.value)},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\cosh\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);t.name="cot",t.factory=function(t,e,r,n){var i=n("cot",{number:function(e){return 1/Math.tan(e)},Complex:function(e){return e.cot()},BigNumber:function(e){return new t.BigNumber(1).div(e.tan())},Unit:function(e){if(!e.hasBase(t.Unit.BASE_UNITS.ANGLE))throw new TypeError("Unit in function cot is no angle");return i(e.value)},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\cot\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);function a(e){var t=Math.exp(2*e);return(t+1)/(t-1)}t.name="coth",t.factory=function(t,e,r,n){var i=n("coth",{number:a,Complex:function(e){return e.coth()},BigNumber:function(e){return new t.BigNumber(1).div(e.tanh())},Unit:function(e){if(!e.hasBase(t.Unit.BASE_UNITS.ANGLE))throw new TypeError("Unit in function coth is no angle");return i(e.value)},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\coth\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);t.name="csc",t.factory=function(t,e,r,n){var i=n("csc",{number:function(e){return 1/Math.sin(e)},Complex:function(e){return e.csc()},BigNumber:function(e){return new t.BigNumber(1).div(e.sin())},Unit:function(e){if(!e.hasBase(t.Unit.BASE_UNITS.ANGLE))throw new TypeError("Unit in function csc is no angle");return i(e.value)},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\csc\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0),n=r(3).sign;function a(e){return 0===e?Number.POSITIVE_INFINITY:Math.abs(2/(Math.exp(e)-Math.exp(-e)))*n(e)}t.name="csch",t.factory=function(t,e,r,n){var i=n("csch",{number:a,Complex:function(e){return e.csch()},BigNumber:function(e){return new t.BigNumber(1).div(e.sinh())},Unit:function(e){if(!e.hasBase(t.Unit.BASE_UNITS.ANGLE))throw new TypeError("Unit in function csch is no angle");return i(e.value)},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\mathrm{csch}\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);t.name="sec",t.factory=function(t,e,r,n){var i=n("sec",{number:function(e){return 1/Math.cos(e)},Complex:function(e){return e.sec()},BigNumber:function(e){return new t.BigNumber(1).div(e.cos())},Unit:function(e){if(!e.hasBase(t.Unit.BASE_UNITS.ANGLE))throw new TypeError("Unit in function sec is no angle");return i(e.value)},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\sec\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);function a(e){return 2/(Math.exp(e)+Math.exp(-e))}t.name="sech",t.factory=function(t,e,r,n){var i=n("sech",{number:a,Complex:function(e){return e.sech()},BigNumber:function(e){return new t.BigNumber(1).div(e.cosh())},Unit:function(e){if(!e.hasBase(t.Unit.BASE_UNITS.ANGLE))throw new TypeError("Unit in function sech is no angle");return i(e.value)},"Array | Matrix":function(e){return o(e,i)}});return i.toTex={1:"\\mathrm{sech}\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);t.name="sin",t.factory=function(t,e,r,n){var i=n("sin",{number:Math.sin,Complex:function(e){return e.sin()},BigNumber:function(e){return e.sin()},Unit:function(e){if(!e.hasBase(t.Unit.BASE_UNITS.ANGLE))throw new TypeError("Unit in function sin is no angle");return i(e.value)},"Array | Matrix":function(e){return o(e,i,!0)}});return i.toTex={1:"\\sin\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);var a=Math.sinh||function(e){return(Math.exp(e)-Math.exp(-e))/2};t.name="sinh",t.factory=function(t,e,r,n){var i=n("sinh",{number:a,Complex:function(e){return e.sinh()},BigNumber:function(e){return e.sinh()},Unit:function(e){if(!e.hasBase(t.Unit.BASE_UNITS.ANGLE))throw new TypeError("Unit in function sinh is no angle");return i(e.value)},"Array | Matrix":function(e){return o(e,i,!0)}});return i.toTex={1:"\\sinh\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);t.name="tan",t.factory=function(t,e,r,n){var i=n("tan",{number:Math.tan,Complex:function(e){return e.tan()},BigNumber:function(e){return e.tan()},Unit:function(e){if(!e.hasBase(t.Unit.BASE_UNITS.ANGLE))throw new TypeError("Unit in function tan is no angle");return i(e.value)},"Array | Matrix":function(e){return o(e,i,!0)}});return i.toTex={1:"\\tan\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";var o=r(0);var a=Math.tanh||function(e){var t=Math.exp(2*e);return(t-1)/(t+1)};t.name="tanh",t.factory=function(t,e,r,n){var i=n("tanh",{number:a,Complex:function(e){return e.tanh()},BigNumber:function(e){return e.tanh()},Unit:function(e){if(!e.hasBase(t.Unit.BASE_UNITS.ANGLE))throw new TypeError("Unit in function tanh is no angle");return i(e.value)},"Array | Matrix":function(e){return o(e,i,!0)}});return i.toTex={1:"\\tanh\\left(${args[0]}\\right)"},i}},function(e,t,r){"use strict";e.exports=[r(348)]},function(e,t,c){"use strict";t.name="to",t.factory=function(e,t,r,n){var i=c(4),o=r(c(1)),a=r(c(7)),s=r(c(6)),u=n("to",{"Unit, Unit | string":function(e,t){return e.to(t)},"Matrix, Matrix":function(e,t){return a(e,t,u)},"Array, Array":function(e,t){return u(o(e),o(t)).valueOf()},"Array, Matrix":function(e,t){return u(o(e),t)},"Matrix, Array":function(e,t){return u(e,o(t))},"Matrix, any":function(e,t){return s(e,t,u,!1)},"any, Matrix":function(e,t){return s(t,e,u,!0)},"Array, any":function(e,t){return s(o(e),t,u,!1).valueOf()},"any, Array":function(e,t){return s(o(t),e,u,!0).valueOf()}});return u.toTex={2:"\\left(${args[0]}".concat(i.operators.to,"${args[1]}\\right)")},u}},function(e,t,r){"use strict";e.exports=[r(350),r(34),r(61),r(52),r(351),r(73),r(352),r(60),r(78),r(24)]},function(e,t,r){"use strict";var o=r(5);t.name="clone",t.factory=function(e,t,r,n){var i=n("clone",{any:o.clone});return i.toTex=void 0,i}},function(e,t,o){"use strict";t.name="hasNumericValue",t.factory=function(e,t,r,n){var i=r(o(52));return n("hasNumericValue",{string:function(e){return 0<e.trim().length&&!isNaN(Number(e))},any:function(e){return i(e)}})}},function(e,t,r){"use strict";var o=r(0);t.name="isPrime",t.factory=function(r,e,t,n){var i=n("isPrime",{number:function(e){if(e<2)return!1;if(2===e)return!0;if(e%2==0)return!1;for(var t=3;t*t<=e;t+=2)if(e%t==0)return!1;return!0},BigNumber:function(e){if(e.lt(2))return!1;if(e.equals(2))return!0;if(e.mod(2).isZero())return!1;for(var t=r.BigNumber(3);t.times(t).lte(e);t=t.plus(1))if(e.mod(t).isZero())return!1;return!0},"Array | Matrix":function(e){return o(e,i)}});return i}},function(e,t,r){"use strict";e.exports=[r(153),r(557),r(561),r(563),r(578),r(44),r(157)]},function(e,t){e.exports={name:"bignumber",category:"Construction",syntax:["bignumber(x)"],description:"Create a big number from a number or string.",examples:["0.1 + 0.2","bignumber(0.1) + bignumber(0.2)",'bignumber("7.2")','bignumber("7.2e500")',"bignumber([0.1, 0.2, 0.3])"],seealso:["boolean","complex","fraction","index","matrix","string","unit"]}},function(e,t){e.exports={name:"boolean",category:"Construction",syntax:["x","boolean(x)"],description:"Convert a string or number into a boolean.",examples:["boolean(0)","boolean(1)","boolean(3)",'boolean("true")','boolean("false")',"boolean([1, 0, 1, 1])"],seealso:["bignumber","complex","index","matrix","number","string","unit"]}},function(e,t){e.exports={name:"complex",category:"Construction",syntax:["complex()","complex(re, im)","complex(string)"],description:"Create a complex number.",examples:["complex()","complex(2, 3)",'complex("7 - 2i")'],seealso:["bignumber","boolean","index","matrix","number","string","unit"]}},function(e,t){e.exports={name:"createUnit",category:"Construction",syntax:["createUnit(definitions)","createUnit(name, definition)"],description:"Create a user-defined unit and register it with the Unit type.",examples:['createUnit("foo")','createUnit("knot", {definition: "0.514444444 m/s", aliases: ["knots", "kt", "kts"]})','createUnit("mph", "1 mile/hour")'],seealso:["unit","splitUnit"]}},function(e,t){e.exports={name:"fraction",category:"Construction",syntax:["fraction(num)","fraction(num,den)"],description:"Create a fraction from a number or from a numerator and denominator.",examples:["fraction(0.125)","fraction(1, 3) + fraction(2, 5)"],seealso:["bignumber","boolean","complex","index","matrix","string","unit"]}},function(e,t){e.exports={name:"index",category:"Construction",syntax:["[start]","[start:end]","[start:step:end]","[start1, start 2, ...]","[start1:end1, start2:end2, ...]","[start1:step1:end1, start2:step2:end2, ...]"],description:"Create an index to get or replace a subset of a matrix",examples:["[]","[1, 2, 3]","A = [1, 2, 3; 4, 5, 6]","A[1, :]","A[1, 2] = 50","A[0:2, 0:2] = ones(2, 2)"],seealso:["bignumber","boolean","complex","matrix,","number","range","string","unit"]}},function(e,t){e.exports={name:"matrix",category:"Construction",syntax:["[]","[a1, b1, ...; a2, b2, ...]","matrix()",'matrix("dense")',"matrix([...])"],description:"Create a matrix.",examples:["[]","[1, 2, 3]","[1, 2, 3; 4, 5, 6]","matrix()","matrix([3, 4])",'matrix([3, 4; 5, 6], "sparse")','matrix([3, 4; 5, 6], "sparse", "number")'],seealso:["bignumber","boolean","complex","index","number","string","unit","sparse"]}},function(e,t){e.exports={name:"number",category:"Construction",syntax:["x","number(x)","number(unit, valuelessUnit)"],description:"Create a number or convert a string or boolean into a number.",examples:["2","2e3","4.05","number(2)",'number("7.2")',"number(true)","number([true, false, true, true])",'number(unit("52cm"), "m")'],seealso:["bignumber","boolean","complex","fraction","index","matrix","string","unit"]}},function(e,t){e.exports={name:"sparse",category:"Construction",syntax:["sparse()","sparse([a1, b1, ...; a1, b2, ...])",'sparse([a1, b1, ...; a1, b2, ...], "number")'],description:"Create a sparse matrix.",examples:["sparse()","sparse([3, 4; 5, 6])",'sparse([3, 0; 5, 0], "number")'],seealso:["bignumber","boolean","complex","index","number","string","unit","matrix"]}},function(e,t){e.exports={name:"splitUnit",category:"Construction",syntax:["splitUnit(unit: Unit, parts: Unit[])"],description:"Split a unit in an array of units whose sum is equal to the original unit.",examples:['splitUnit(1 m, ["feet", "inch"])'],seealso:["unit","createUnit"]}},function(e,t){e.exports={name:"string",category:"Construction",syntax:['"text"',"string(x)"],description:"Create a string or convert a value to a string",examples:['"Hello World!"',"string(4.2)","string(3 + 2i)"],seealso:["bignumber","boolean","complex","index","matrix","number","unit"]}},function(e,t){e.exports={name:"unit",category:"Construction",syntax:["value unit","unit(value, unit)","unit(string)"],description:"Create a unit.",examples:["5.5 mm","3 inch",'unit(7.1, "kilogram")','unit("23 deg")'],seealso:["bignumber","boolean","complex","index","matrix","number","string"]}},function(e,t){e.exports={name:"false",category:"Constants",syntax:["false"],description:"Boolean value false",examples:["false"],seealso:["true"]}},function(e,t){e.exports={name:"i",category:"Constants",syntax:["i"],description:"Imaginary unit, defined as i*i=-1. A complex number is described as a + b*i, where a is the real part, and b is the imaginary part.",examples:["i","i * i","sqrt(-1)"],seealso:[]}},function(e,t){e.exports={name:"Infinity",category:"Constants",syntax:["Infinity"],description:"Infinity, a number which is larger than the maximum number that can be handled by a floating point number.",examples:["Infinity","1 / 0"],seealso:[]}},function(e,t){e.exports={name:"LN2",category:"Constants",syntax:["LN2"],description:"Returns the natural logarithm of 2, approximately equal to 0.693",examples:["LN2","log(2)"],seealso:[]}},function(e,t){e.exports={name:"LN10",category:"Constants",syntax:["LN10"],description:"Returns the natural logarithm of 10, approximately equal to 2.302",examples:["LN10","log(10)"],seealso:[]}},function(e,t){e.exports={name:"LOG2E",category:"Constants",syntax:["LOG2E"],description:"Returns the base-2 logarithm of E, approximately equal to 1.442",examples:["LOG2E","log(e, 2)"],seealso:[]}},function(e,t){e.exports={name:"LOG10E",category:"Constants",syntax:["LOG10E"],description:"Returns the base-10 logarithm of E, approximately equal to 0.434",examples:["LOG10E","log(e, 10)"],seealso:[]}},function(e,t){e.exports={name:"NaN",category:"Constants",syntax:["NaN"],description:"Not a number",examples:["NaN","0 / 0"],seealso:[]}},function(e,t){e.exports={name:"null",category:"Constants",syntax:["null"],description:"Value null",examples:["null"],seealso:["true","false"]}},function(e,t){e.exports={name:"phi",category:"Constants",syntax:["phi"],description:"Phi is the golden ratio. Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Phi is defined as `(1 + sqrt(5)) / 2` and is approximately 1.618034...",examples:["phi"],seealso:[]}},function(e,t){e.exports={name:"SQRT1_2",category:"Constants",syntax:["SQRT1_2"],description:"Returns the square root of 1/2, approximately equal to 0.707",examples:["SQRT1_2","sqrt(1/2)"],seealso:[]}},function(e,t){e.exports={name:"SQRT2",category:"Constants",syntax:["SQRT2"],description:"Returns the square root of 2, approximately equal to 1.414",examples:["SQRT2","sqrt(2)"],seealso:[]}},function(e,t){e.exports={name:"tau",category:"Constants",syntax:["tau"],description:"Tau is the ratio constant of a circle's circumference to radius, equal to 2 * pi, approximately 6.2832.",examples:["tau","2 * pi"],seealso:["pi"]}},function(e,t){e.exports={name:"true",category:"Constants",syntax:["true"],description:"Boolean value true",examples:["true"],seealso:["false"]}},function(e,t){e.exports={name:"version",category:"Constants",syntax:["version"],description:"A string with the version number of math.js",examples:["version"],seealso:[]}},function(e,t){e.exports={name:"derivative",category:"Algebra",syntax:["derivative(expr, variable)","derivative(expr, variable, {simplify: boolean})"],description:"Takes the derivative of an expression expressed in parser Nodes. The derivative will be taken over the supplied variable in the second parameter. If there are multiple variables in the expression, it will return a partial derivative.",examples:['derivative("2x^3", "x")','derivative("2x^3", "x", {simplify: false})','derivative("2x^2 + 3x + 4", "x")','derivative("sin(2x)", "x")','f = parse("x^2 + x")','x = parse("x")',"df = derivative(f, x)","df.eval({x: 3})"],seealso:["simplify","parse","eval"]}},function(e,t){e.exports={name:"lsolve",category:"Algebra",syntax:["x=lsolve(L, b)"],description:"Solves the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lsolve(a, b)"],seealso:["lup","lusolve","usolve","matrix","sparse"]}},function(e,t){e.exports={name:"lup",category:"Algebra",syntax:["lup(m)"],description:"Calculate the Matrix LU decomposition with partial pivoting. Matrix A is decomposed in three matrices (L, U, P) where P * A = L * U",examples:["lup([[2, 1], [1, 4]])","lup(matrix([[2, 1], [1, 4]]))","lup(sparse([[2, 1], [1, 4]]))"],seealso:["lusolve","lsolve","usolve","matrix","sparse","slu","qr"]}},function(e,t){e.exports={name:"lusolve",category:"Algebra",syntax:["x=lusolve(A, b)","x=lusolve(lu, b)"],description:"Solves the linear system A * x = b where A is an [n x n] matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lusolve(a, b)"],seealso:["lup","slu","lsolve","usolve","matrix","sparse"]}},function(e,t){e.exports={name:"simplify",category:"Algebra",syntax:["simplify(expr)","simplify(expr, rules)"],description:"Simplify an expression tree.",examples:['simplify("3 + 2 / 4")','simplify("2x + x")','f = parse("x * (x + 2 + x)")',"simplified = simplify(f)","simplified.eval({x: 2})"],seealso:["derivative","parse","eval"]}},function(e,t){e.exports={name:"rationalize",category:"Algebra",syntax:["rationalize(expr)","rationalize(expr, scope)","rationalize(expr, scope, detailed)"],description:"Transform a rationalizable expression in a rational fraction. If rational fraction is one variable polynomial then converts the numerator and denominator in canonical form, with decreasing exponents, returning the coefficients of numerator.",examples:['rationalize("2x/y - y/(x+1)")','rationalize("2x/y - y/(x+1)", true)'],seealso:["simplify"]}},function(e,t){e.exports={name:"slu",category:"Algebra",syntax:["slu(A, order, threshold)"],description:"Calculate the Matrix LU decomposition with full pivoting. Matrix A is decomposed in two matrices (L, U) and two permutation vectors (pinv, q) where P * A * Q = L * U",examples:["slu(sparse([4.5, 0, 3.2, 0; 3.1, 2.9, 0, 0.9; 0, 1.7, 3, 0; 3.5, 0.4, 0, 1]), 1, 0.001)"],seealso:["lusolve","lsolve","usolve","matrix","sparse","lup","qr"]}},function(e,t){e.exports={name:"usolve",category:"Algebra",syntax:["x=usolve(U, b)"],description:"Solves the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.",examples:["x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])"],seealso:["lup","lusolve","lsolve","matrix","sparse"]}},function(e,t){e.exports={name:"qr",category:"Algebra",syntax:["qr(A)"],description:"Calculates the Matrix QR decomposition. Matrix `A` is decomposed in two matrices (`Q`, `R`) where `Q` is an orthogonal matrix and `R` is an upper triangular matrix.",examples:["qr([[1, -1,  4], [1,  4, -2], [1,  4,  2], [1,  -1, 0]])"],seealso:["lup","slu","matrix"]}},function(e,t){e.exports={name:"abs",category:"Arithmetic",syntax:["abs(x)"],description:"Compute the absolute value.",examples:["abs(3.5)","abs(-4.2)"],seealso:["sign"]}},function(e,t){e.exports={name:"add",category:"Operators",syntax:["x + y","add(x, y)"],description:"Add two values.",examples:["a = 2.1 + 3.6","a - 3.6","3 + 2i","3 cm + 2 inch",'"2.3" + "4"'],seealso:["subtract"]}},function(e,t){e.exports={name:"cbrt",category:"Arithmetic",syntax:["cbrt(x)","cbrt(x, allRoots)"],description:"Compute the cubic root value. If x = y * y * y, then y is the cubic root of x. When `x` is a number or complex number, an optional second argument `allRoots` can be provided to return all three cubic roots. If not provided, the principal root is returned",examples:["cbrt(64)","cube(4)","cbrt(-8)","cbrt(2 + 3i)","cbrt(8i)","cbrt(8i, true)","cbrt(27 m^3)"],seealso:["square","sqrt","cube","multiply"]}},function(e,t){e.exports={name:"ceil",category:"Arithmetic",syntax:["ceil(x)"],description:"Round a value towards plus infinity. If x is complex, both real and imaginary part are rounded towards plus infinity.",examples:["ceil(3.2)","ceil(3.8)","ceil(-4.2)"],seealso:["floor","fix","round"]}},function(e,t){e.exports={name:"cube",category:"Arithmetic",syntax:["cube(x)"],description:"Compute the cube of a value. The cube of x is x * x * x.",examples:["cube(2)","2^3","2 * 2 * 2"],seealso:["multiply","square","pow"]}},function(e,t){e.exports={name:"divide",category:"Operators",syntax:["x / y","divide(x, y)"],description:"Divide two values.",examples:["a = 2 / 3","a * 3","4.5 / 2","3 + 4 / 2","(3 + 4) / 2","18 km / 4.5"],seealso:["multiply"]}},function(e,t){e.exports={name:"dotDivide",category:"Operators",syntax:["x ./ y","dotDivide(x, y)"],description:"Divide two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a ./ b"],seealso:["multiply","dotMultiply","divide"]}},function(e,t){e.exports={name:"dotMultiply",category:"Operators",syntax:["x .* y","dotMultiply(x, y)"],description:"Multiply two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a .* b"],seealso:["multiply","divide","dotDivide"]}},function(e,t){e.exports={name:"dotpow",category:"Operators",syntax:["x .^ y","dotpow(x, y)"],description:"Calculates the power of x to y element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","a .^ 2"],seealso:["pow"]}},function(e,t){e.exports={name:"exp",category:"Arithmetic",syntax:["exp(x)"],description:"Calculate the exponent of a value.",examples:["exp(1.3)","e ^ 1.3","log(exp(1.3))","x = 2.4","(exp(i*x) == cos(x) + i*sin(x))   # Euler's formula"],seealso:["expm","expm1","pow","log"]}},function(e,t){e.exports={name:"expm",category:"Arithmetic",syntax:["exp(x)"],description:"Compute the matrix exponential, expm(A) = e^A. The matrix must be square. Not to be confused with exp(a), which performs element-wise exponentiation.",examples:["expm([[0,2],[0,0]])"],seealso:["exp"]}},function(e,t){e.exports={name:"expm1",category:"Arithmetic",syntax:["expm1(x)"],description:"Calculate the value of subtracting 1 from the exponential value.",examples:["expm1(2)","pow(e, 2) - 1","log(expm1(2) + 1)"],seealso:["exp","pow","log"]}},function(e,t){e.exports={name:"fix",category:"Arithmetic",syntax:["fix(x)"],description:"Round a value towards zero. If x is complex, both real and imaginary part are rounded towards zero.",examples:["fix(3.2)","fix(3.8)","fix(-4.2)","fix(-4.8)"],seealso:["ceil","floor","round"]}},function(e,t){e.exports={name:"floor",category:"Arithmetic",syntax:["floor(x)"],description:"Round a value towards minus infinity.If x is complex, both real and imaginary part are rounded towards minus infinity.",examples:["floor(3.2)","floor(3.8)","floor(-4.2)"],seealso:["ceil","fix","round"]}},function(e,t){e.exports={name:"gcd",category:"Arithmetic",syntax:["gcd(a, b)","gcd(a, b, c, ...)"],description:"Compute the greatest common divisor.",examples:["gcd(8, 12)","gcd(-4, 6)","gcd(25, 15, -10)"],seealso:["lcm","xgcd"]}},function(e,t){e.exports={name:"hypot",category:"Arithmetic",syntax:["hypot(a, b, c, ...)","hypot([a, b, c, ...])"],description:"Calculate the hypotenusa of a list with values. ",examples:["hypot(3, 4)","sqrt(3^2 + 4^2)","hypot(-2)","hypot([3, 4, 5])"],seealso:["abs","norm"]}},function(e,t){e.exports={name:"lcm",category:"Arithmetic",syntax:["lcm(x, y)"],description:"Compute the least common multiple.",examples:["lcm(4, 6)","lcm(6, 21)","lcm(6, 21, 5)"],seealso:["gcd"]}},function(e,t){e.exports={name:"log",category:"Arithmetic",syntax:["log(x)","log(x, base)"],description:"Compute the logarithm of a value. If no base is provided, the natural logarithm of x is calculated. If base if provided, the logarithm is calculated for the specified base. log(x, base) is defined as log(x) / log(base).",examples:["log(3.5)","a = log(2.4)","exp(a)","10 ^ 4","log(10000, 10)","log(10000) / log(10)","b = log(1024, 2)","2 ^ b"],seealso:["exp","log1p","log2","log10"]}},function(e,t){e.exports={name:"log2",category:"Arithmetic",syntax:["log2(x)"],description:"Calculate the 2-base of a value. This is the same as calculating `log(x, 2)`.",examples:["log2(0.03125)","log2(16)","log2(16) / log2(2)","pow(2, 4)"],seealso:["exp","log1p","log","log10"]}},function(e,t){e.exports={name:"log1p",category:"Arithmetic",syntax:["log1p(x)","log1p(x, base)"],description:"Calculate the logarithm of a `value+1`",examples:["log1p(2.5)","exp(log1p(1.4))","pow(10, 4)","log1p(9999, 10)","log1p(9999) / log(10)"],seealso:["exp","log","log2","log10"]}},function(e,t){e.exports={name:"log10",category:"Arithmetic",syntax:["log10(x)"],description:"Compute the 10-base logarithm of a value.",examples:["log10(0.00001)","log10(10000)","10 ^ 4","log(10000) / log(10)","log(10000, 10)"],seealso:["exp","log"]}},function(e,t){e.exports={name:"mod",category:"Operators",syntax:["x % y","x mod y","mod(x, y)"],description:"Calculates the modulus, the remainder of an integer division.",examples:["7 % 3","11 % 2","10 mod 4","isOdd(x) = x % 2","isOdd(2)","isOdd(3)"],seealso:["divide"]}},function(e,t){e.exports={name:"multiply",category:"Operators",syntax:["x * y","multiply(x, y)"],description:"multiply two values.",examples:["a = 2.1 * 3.4","a / 3.4","2 * 3 + 4","2 * (3 + 4)","3 * 2.1 km"],seealso:["divide"]}},function(e,t){e.exports={name:"norm",category:"Arithmetic",syntax:["norm(x)","norm(x, p)"],description:"Calculate the norm of a number, vector or matrix.",examples:["abs(-3.5)","norm(-3.5)","norm(3 - 4i)","norm([1, 2, -3], Infinity)","norm([1, 2, -3], -Infinity)","norm([3, 4], 2)","norm([[1, 2], [3, 4]], 1)",'norm([[1, 2], [3, 4]], "inf")','norm([[1, 2], [3, 4]], "fro")']}},function(e,t){e.exports={name:"nthRoot",category:"Arithmetic",syntax:["nthRoot(a)","nthRoot(a, root)"],description:'Calculate the nth root of a value. The principal nth root of a positive real number A, is the positive real solution of the equation "x^root = A".',examples:["4 ^ 3","nthRoot(64, 3)","nthRoot(9, 2)","sqrt(9)"],seealso:["nthRoots","pow","sqrt"]}},function(e,t){e.exports={name:"nthRoots",category:"Arithmetic",syntax:["nthRoots(A)","nthRoots(A, root)"],description:'Calculate the nth roots of a value. An nth root of a positive real number A, is a positive real solution of the equation "x^root = A". This function returns an array of complex values.',examples:["nthRoots(1)","nthRoots(1, 3)"],seealso:["sqrt","pow","nthRoot"]}},function(e,t){e.exports={name:"pow",category:"Operators",syntax:["x ^ y","pow(x, y)"],description:"Calculates the power of x to y, x^y.",examples:["2^3","2*2*2","1 + e ^ (pi * i)"],seealso:["multiply","nthRoot","nthRoots","sqrt"]}},function(e,t){e.exports={name:"round",category:"Arithmetic",syntax:["round(x)","round(x, n)"],description:"round a value towards the nearest integer.If x is complex, both real and imaginary part are rounded towards the nearest integer. When n is specified, the value is rounded to n decimals.",examples:["round(3.2)","round(3.8)","round(-4.2)","round(-4.8)","round(pi, 3)","round(123.45678, 2)"],seealso:["ceil","floor","fix"]}},function(e,t){e.exports={name:"sign",category:"Arithmetic",syntax:["sign(x)"],description:"Compute the sign of a value. The sign of a value x is 1 when x>1, -1 when x<0, and 0 when x=0.",examples:["sign(3.5)","sign(-4.2)","sign(0)"],seealso:["abs"]}},function(e,t){e.exports={name:"sqrt",category:"Arithmetic",syntax:["sqrt(x)"],description:"Compute the square root value. If x = y * y, then y is the square root of x.",examples:["sqrt(25)","5 * 5","sqrt(-1)"],seealso:["square","sqrtm","multiply","nthRoot","nthRoots","pow"]}},function(e,t){e.exports={name:"sqrtm",category:"Arithmetic",syntax:["sqrtm(x)"],description:"Calculate the principal square root of a square matrix. The principal square root matrix `X` of another matrix `A` is such that `X * X = A`.",examples:["sqrtm([[1, 2], [3, 4]])"],seealso:["sqrt","abs","square","multiply"]}},function(e,t){e.exports={name:"square",category:"Arithmetic",syntax:["square(x)"],description:"Compute the square of a value. The square of x is x * x.",examples:["square(3)","sqrt(9)","3^2","3 * 3"],seealso:["multiply","pow","sqrt","cube"]}},function(e,t){e.exports={name:"subtract",category:"Operators",syntax:["x - y","subtract(x, y)"],description:"subtract two values.",examples:["a = 5.3 - 2","a + 2","2/3 - 1/6","2 * 3 - 3","2.1 km - 500m"],seealso:["add"]}},function(e,t){e.exports={name:"unaryMinus",category:"Operators",syntax:["-x","unaryMinus(x)"],description:"Inverse the sign of a value. Converts booleans and strings to numbers.",examples:["-4.5","-(-5.6)",'-"22"'],seealso:["add","subtract","unaryPlus"]}},function(e,t){e.exports={name:"unaryPlus",category:"Operators",syntax:["+x","unaryPlus(x)"],description:"Converts booleans and strings to numbers.",examples:["+true",'+"2"'],seealso:["add","subtract","unaryMinus"]}},function(e,t){e.exports={name:"xgcd",category:"Arithmetic",syntax:["xgcd(a, b)"],description:"Calculate the extended greatest common divisor for two values. The result is an array [d, x, y] with 3 entries, where d is the greatest common divisor, and d = x * a + y * b.",examples:["xgcd(8, 12)","gcd(8, 12)","xgcd(36163, 21199)"],seealso:["gcd","lcm"]}},function(e,t){e.exports={name:"bitAnd",category:"Bitwise",syntax:["x & y","bitAnd(x, y)"],description:"Bitwise AND operation. Performs the logical AND operation on each pair of the corresponding bits of the two given values by multiplying them. If both bits in the compared position are 1, the bit in the resulting binary representation is 1, otherwise, the result is 0",examples:["5 & 3","bitAnd(53, 131)","[1, 12, 31] & 42"],seealso:["bitNot","bitOr","bitXor","leftShift","rightArithShift","rightLogShift"]}},function(e,t){e.exports={name:"bitNot",category:"Bitwise",syntax:["~x","bitNot(x)"],description:"Bitwise NOT operation. Performs a logical negation on each bit of the given value. Bits that are 0 become 1, and those that are 1 become 0.",examples:["~1","~2","bitNot([2, -3, 4])"],seealso:["bitAnd","bitOr","bitXor","leftShift","rightArithShift","rightLogShift"]}},function(e,t){e.exports={name:"bitOr",category:"Bitwise",syntax:["x | y","bitOr(x, y)"],description:"Bitwise OR operation. Performs the logical inclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if the first bit is 1 or the second bit is 1 or both bits are 1, otherwise, the result is 0.",examples:["5 | 3","bitOr([1, 2, 3], 4)"],seealso:["bitAnd","bitNot","bitXor","leftShift","rightArithShift","rightLogShift"]}},function(e,t){e.exports={name:"bitXor",category:"Bitwise",syntax:["bitXor(x, y)"],description:"Bitwise XOR operation, exclusive OR. Performs the logical exclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if only the first bit is 1 or only the second bit is 1, but will be 0 if both are 0 or both are 1.",examples:["bitOr(1, 2)","bitXor([2, 3, 4], 4)"],seealso:["bitAnd","bitNot","bitOr","leftShift","rightArithShift","rightLogShift"]}},function(e,t){e.exports={name:"leftShift",category:"Bitwise",syntax:["x << y","leftShift(x, y)"],description:"Bitwise left logical shift of a value x by y number of bits.",examples:["4 << 1","8 >> 1"],seealso:["bitAnd","bitNot","bitOr","bitXor","rightArithShift","rightLogShift"]}},function(e,t){e.exports={name:"rightArithShift",category:"Bitwise",syntax:["x >> y","rightArithShift(x, y)"],description:"Bitwise right arithmetic shift of a value x by y number of bits.",examples:["8 >> 1","4 << 1","-12 >> 2"],seealso:["bitAnd","bitNot","bitOr","bitXor","leftShift","rightLogShift"]}},function(e,t){e.exports={name:"rightLogShift",category:"Bitwise",syntax:["x >>> y","rightLogShift(x, y)"],description:"Bitwise right logical shift of a value x by y number of bits.",examples:["8 >>> 1","4 << 1","-12 >>> 2"],seealso:["bitAnd","bitNot","bitOr","bitXor","leftShift","rightArithShift"]}},function(e,t){e.exports={name:"bellNumbers",category:"Combinatorics",syntax:["bellNumbers(n)"],description:"The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S. `bellNumbers` only takes integer arguments. The following condition must be enforced: n >= 0.",examples:["bellNumbers(3)","bellNumbers(8)"],seealso:["stirlingS2"]}},function(e,t){e.exports={name:"catalan",category:"Combinatorics",syntax:["catalan(n)"],description:"The Catalan Numbers enumerate combinatorial structures of many different types. catalan only takes integer arguments. The following condition must be enforced: n >= 0.",examples:["catalan(3)","catalan(8)"],seealso:["bellNumbers"]}},function(e,t){e.exports={name:"composition",category:"Combinatorics",syntax:["composition(n, k)"],description:"The composition counts of n into k parts. composition only takes integer arguments. The following condition must be enforced: k <= n.",examples:["composition(5, 3)"],seealso:["combinations"]}},function(e,t){e.exports={name:"stirlingS2",category:"Combinatorics",syntax:["stirlingS2(n, k)"],description:"he Stirling numbers of the second kind, counts the number of ways to partition a set of n labelled objects into k nonempty unlabelled subsets. `stirlingS2` only takes integer arguments. The following condition must be enforced: k <= n. If n = k or k = 1, then s(n,k) = 1.",examples:["stirlingS2(5, 3)"],seealso:["bellNumbers"]}},function(e,t){e.exports={name:"config",category:"Core",syntax:["config()","config(options)"],description:"Get configuration or change configuration.",examples:["config()","1/3 + 1/4",'config({number: "Fraction"})',"1/3 + 1/4"],seealso:[]}},function(e,t){e.exports={name:"import",category:"Core",syntax:["import(functions)","import(functions, options)"],description:"Import functions or constants from an object.",examples:["import({myFn: f(x)=x^2, myConstant: 32 })","myFn(2)","myConstant"],seealso:[]}},function(e,t){e.exports={name:"typed",category:"Core",syntax:["typed(signatures)","typed(name, signatures)"],description:"Create a typed function.",examples:['double = typed({ "number, number": f(x)=x+x })',"double(2)",'double("hello")'],seealso:[]}},function(e,t){e.exports={name:"arg",category:"Complex",syntax:["arg(x)"],description:"Compute the argument of a complex value. If x = a+bi, the argument is computed as atan2(b, a).",examples:["arg(2 + 2i)","atan2(3, 2)","arg(2 + 3i)"],seealso:["re","im","conj","abs"]}},function(e,t){e.exports={name:"conj",category:"Complex",syntax:["conj(x)"],description:"Compute the complex conjugate of a complex value. If x = a+bi, the complex conjugate is a-bi.",examples:["conj(2 + 3i)","conj(2 - 3i)","conj(-5.2i)"],seealso:["re","im","abs","arg"]}},function(e,t){e.exports={name:"re",category:"Complex",syntax:["re(x)"],description:"Get the real part of a complex number.",examples:["re(2 + 3i)","im(2 + 3i)","re(-5.2i)","re(2.4)"],seealso:["im","conj","abs","arg"]}},function(e,t){e.exports={name:"im",category:"Complex",syntax:["im(x)"],description:"Get the imaginary part of a complex number.",examples:["im(2 + 3i)","re(2 + 3i)","im(-5.2i)","im(2.4)"],seealso:["re","conj","abs","arg"]}},function(e,t){e.exports={name:"eval",category:"Expression",syntax:["eval(expression)","eval([expr1, expr2, expr3, ...])"],description:"Evaluate an expression or an array with expressions.",examples:['eval("2 + 3")','eval("sqrt(" + 4 + ")")'],seealso:[]}},function(e,t){e.exports={name:"help",category:"Expression",syntax:["help(object)","help(string)"],description:"Display documentation on a function or data type.",examples:["help(sqrt)",'help("complex")'],seealso:[]}},function(e,t){e.exports={name:"distance",category:"Geometry",syntax:["distance([x1, y1], [x2, y2])","distance([[x1, y1], [x2, y2])"],description:"Calculates the Euclidean distance between two points.",examples:["distance([0,0], [4,4])","distance([[0,0], [4,4]])"],seealso:[]}},function(e,t){e.exports={name:"intersect",category:"Geometry",syntax:["intersect(expr1, expr2, expr3, expr4)","intersect(expr1, expr2, expr3)"],description:"Computes the intersection point of lines and/or planes.",examples:["intersect([0, 0], [10, 10], [10, 0], [0, 10])","intersect([1, 0, 1],  [4, -2, 2], [1, 1, 1, 6])"],seealso:[]}},function(e,t){e.exports={name:"and",category:"Logical",syntax:["x and y","and(x, y)"],description:"Logical and. Test whether two values are both defined with a nonzero/nonempty value.",examples:["true and false","true and true","2 and 4"],seealso:["not","or","xor"]}},function(e,t){e.exports={name:"not",category:"Logical",syntax:["not x","not(x)"],description:"Logical not. Flips the boolean value of given argument.",examples:["not true","not false","not 2","not 0"],seealso:["and","or","xor"]}},function(e,t){e.exports={name:"or",category:"Logical",syntax:["x or y","or(x, y)"],description:"Logical or. Test if at least one value is defined with a nonzero/nonempty value.",examples:["true or false","false or false","0 or 4"],seealso:["not","and","xor"]}},function(e,t){e.exports={name:"xor",category:"Logical",syntax:["x xor y","xor(x, y)"],description:"Logical exclusive or, xor. Test whether one and only one value is defined with a nonzero/nonempty value.",examples:["true xor false","false xor false","true xor true","0 xor 4"],seealso:["not","and","or"]}},function(e,t){e.exports={name:"concat",category:"Matrix",syntax:["concat(A, B, C, ...)","concat(A, B, C, ..., dim)"],description:"Concatenate matrices. By default, the matrices are concatenated by the last dimension. The dimension on which to concatenate can be provided as last argument.",examples:["A = [1, 2; 5, 6]","B = [3, 4; 7, 8]","concat(A, B)","concat(A, B, 1)","concat(A, B, 2)"],seealso:["det","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"cross",category:"Matrix",syntax:["cross(A, B)"],description:"Calculate the cross product for two vectors in three dimensional space.",examples:["cross([1, 1, 0],  [0, 1, 1])","cross([3, -3, 1], [4, 9, 2])","cross([2, 3, 4],  [5, 6, 7])"],seealso:["multiply","dot"]}},function(e,t){e.exports={name:"transpose",category:"Matrix",syntax:["x'","ctranspose(x)"],description:"Complex Conjugate and Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","ctranspose(a)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","zeros"]}},function(e,t){e.exports={name:"det",category:"Matrix",syntax:["det(x)"],description:"Calculate the determinant of a matrix",examples:["det([1, 2; 3, 4])","det([-2, 2, 3; -1, 1, 3; 2, 0, -1])"],seealso:["concat","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"diag",category:"Matrix",syntax:["diag(x)","diag(x, k)"],description:"Create a diagonal matrix or retrieve the diagonal of a matrix. When x is a vector, a matrix with the vector values on the diagonal will be returned. When x is a matrix, a vector with the diagonal values of the matrix is returned. When k is provided, the k-th diagonal will be filled in or retrieved, if k is positive, the values are placed on the super diagonal. When k is negative, the values are placed on the sub diagonal.",examples:["diag(1:3)","diag(1:3, 1)","a = [1, 2, 3; 4, 5, 6; 7, 8, 9]","diag(a)"],seealso:["concat","det","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"dot",category:"Matrix",syntax:["dot(A, B)","A * B"],description:"Calculate the dot product of two vectors. The dot product of A = [a1, a2, a3, ..., an] and B = [b1, b2, b3, ..., bn] is defined as dot(A, B) = a1 * b1 + a2 * b2 + a3 * b3 + ... + an * bn",examples:["dot([2, 4, 1], [2, 2, 3])","[2, 4, 1] * [2, 2, 3]"],seealso:["multiply","cross"]}},function(e,t){e.exports={name:"getMatrixDataType",category:"Matrix",syntax:["getMatrixDataType(x)"],description:'Find the data type of all elements in a matrix or array, for example "number" if all items are a number and "Complex" if all values are complex numbers. If a matrix contains more than one data type, it will return "mixed".',examples:["getMatrixDataType([1, 2, 3])","getMatrixDataType([[5 cm], [2 inch]])",'getMatrixDataType([1, "text"])',"getMatrixDataType([1, bignumber(4)])"],seealso:["matrix","sparse","typeof"]}},function(e,t){e.exports={name:"identity",category:"Matrix",syntax:["identity(n)","identity(m, n)","identity([m, n])"],description:"Returns the identity matrix with size m-by-n. The matrix has ones on the diagonal and zeros elsewhere.",examples:["identity(3)","identity(3, 5)","a = [1, 2, 3; 4, 5, 6]","identity(size(a))"],seealso:["concat","det","diag","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"filter",category:"Matrix",syntax:["filter(x, test)"],description:"Filter items in a matrix.",examples:["isPositive(x) = x > 0","filter([6, -2, -1, 4, 3], isPositive)","filter([6, -2, 0, 1, 0], x != 0)"],seealso:["sort","map","forEach"]}},function(e,t){e.exports={name:"flatten",category:"Matrix",syntax:["flatten(x)"],description:"Flatten a multi dimensional matrix into a single dimensional matrix.",examples:["a = [1, 2, 3; 4, 5, 6]","size(a)","b = flatten(a)","size(b)"],seealso:["concat","resize","size","squeeze"]}},function(e,t){e.exports={name:"forEach",category:"Matrix",syntax:["forEach(x, callback)"],description:"Iterates over all elements of a matrix/array, and executes the given callback function.",examples:["forEach([1, 2, 3], function(val) { console.log(val) })"],seealso:["map","sort","filter"]}},function(e,t){e.exports={name:"inv",category:"Matrix",syntax:["inv(x)"],description:"Calculate the inverse of a matrix",examples:["inv([1, 2; 3, 4])","inv(4)","1 / 4"],seealso:["concat","det","diag","identity","ones","range","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"kron",category:"Matrix",syntax:["kron(x, y)"],description:"Calculates the kronecker product of 2 matrices or vectors.",examples:["kron([[1, 0], [0, 1]], [[1, 2], [3, 4]])","kron([1,1], [2,3,4])"],seealso:["multiply","dot","cross"]}},function(e,t){e.exports={name:"map",category:"Matrix",syntax:["map(x, callback)"],description:"Create a new matrix or array with the results of the callback function executed on each entry of the matrix/array.",examples:["map([1, 2, 3], square)"],seealso:["filter","forEach"]}},function(e,t){e.exports={name:"ones",category:"Matrix",syntax:["ones(m)","ones(m, n)","ones(m, n, p, ...)","ones([m])","ones([m, n])","ones([m, n, p, ...])"],description:"Create a matrix containing ones.",examples:["ones(3)","ones(3, 5)","ones([2,3]) * 4.5","a = [1, 2, 3; 4, 5, 6]","ones(size(a))"],seealso:["concat","det","diag","identity","inv","range","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"partitionSelect",category:"Matrix",syntax:["partitionSelect(x, k)","partitionSelect(x, k, compare)"],description:"Partition-based selection of an array or 1D matrix. Will find the kth smallest value, and mutates the input array. Uses Quickselect.",examples:["partitionSelect([5, 10, 1], 2)",'partitionSelect(["C", "B", "A", "D"], 1)'],seealso:["sort"]}},function(e,t){e.exports={name:"range",category:"Type",syntax:["start:end","start:step:end","range(start, end)","range(start, end, step)","range(string)"],description:"Create a range. Lower bound of the range is included, upper bound is excluded.",examples:["1:5","3:-1:-3","range(3, 7)","range(0, 12, 2)",'range("4:10")',"a = [1, 2, 3, 4; 5, 6, 7, 8]","a[1:2, 1:2]"],seealso:["concat","det","diag","identity","inv","ones","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"resize",category:"Matrix",syntax:["resize(x, size)","resize(x, size, defaultValue)"],description:"Resize a matrix.",examples:["resize([1,2,3,4,5], [3])","resize([1,2,3], [5])","resize([1,2,3], [5], -1)","resize(2, [2, 3])",'resize("hello", [8], "!")'],seealso:["size","subset","squeeze","reshape"]}},function(e,t){e.exports={name:"reshape",category:"Matrix",syntax:["reshape(x, sizes)"],description:"Reshape a multi dimensional array to fit the specified dimensions.",examples:["reshape([1, 2, 3, 4, 5, 6], [2, 3])","reshape([[1, 2], [3, 4]], [1, 4])","reshape([[1, 2], [3, 4]], [4])"],seealso:["size","squeeze","resize"]}},function(e,t){e.exports={name:"size",category:"Matrix",syntax:["size(x)"],description:"Calculate the size of a matrix.",examples:["size(2.3)",'size("hello world")',"a = [1, 2; 3, 4; 5, 6]","size(a)","size(1:6)"],seealso:["concat","det","diag","identity","inv","ones","range","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"sort",category:"Matrix",syntax:["sort(x)","sort(x, compare)"],description:'Sort the items in a matrix. Compare can be a string "asc", "desc", "natural", or a custom sort function.',examples:["sort([5, 10, 1])",'sort(["C", "B", "A", "D"])',"sortByLength(a, b) = size(a)[1] - size(b)[1]",'sort(["Langdon", "Tom", "Sara"], sortByLength)','sort(["10", "1", "2"], "natural")'],seealso:["map","filter","forEach"]}},function(e,t){e.exports={name:"squeeze",category:"Matrix",syntax:["squeeze(x)"],description:"Remove inner and outer singleton dimensions from a matrix.",examples:["a = zeros(3,2,1)","size(squeeze(a))","b = zeros(1,1,3)","size(squeeze(b))"],seealso:["concat","det","diag","identity","inv","ones","range","size","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"subset",category:"Matrix",syntax:["value(index)","value(index) = replacement","subset(value, [index])","subset(value, [index], replacement)"],description:"Get or set a subset of a matrix or string. Indexes are one-based. Both the ranges lower-bound and upper-bound are included.",examples:["d = [1, 2; 3, 4]","e = []","e[1, 1:2] = [5, 6]","e[2, :] = [7, 8]","f = d * e","f[2, 1]","f[:, 1]"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","trace","transpose","zeros"]}},function(e,t){e.exports={name:"trace",category:"Matrix",syntax:["trace(A)"],description:"Calculate the trace of a matrix: the sum of the elements on the main diagonal of a square matrix.",examples:["A = [1, 2, 3; -1, 2, 3; 2, 0, 3]","trace(A)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","transpose","zeros"]}},function(e,t){e.exports={name:"transpose",category:"Matrix",syntax:["x'","transpose(x)"],description:"Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","transpose(a)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","zeros"]}},function(e,t){e.exports={name:"zeros",category:"Matrix",syntax:["zeros(m)","zeros(m, n)","zeros(m, n, p, ...)","zeros([m])","zeros([m, n])","zeros([m, n, p, ...])"],description:"Create a matrix containing zeros.",examples:["zeros(3)","zeros(3, 5)","a = [1, 2, 3; 4, 5, 6]","zeros(size(a))"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose"]}},function(e,t){e.exports={name:"combinations",category:"Probability",syntax:["combinations(n, k)"],description:"Compute the number of combinations of n items taken k at a time",examples:["combinations(7, 5)"],seealso:["permutations","factorial"]}},function(e,t){e.exports={name:"factorial",category:"Probability",syntax:["n!","factorial(n)"],description:"Compute the factorial of a value",examples:["5!","5 * 4 * 3 * 2 * 1","3!"],seealso:["combinations","permutations","gamma"]}},function(e,t){e.exports={name:"gamma",category:"Probability",syntax:["gamma(n)"],description:"Compute the gamma function. For small values, the Lanczos approximation is used, and for large values the extended Stirling approximation.",examples:["gamma(4)","3!","gamma(1/2)","sqrt(pi)"],seealso:["factorial"]}},function(e,t){e.exports={name:"kldivergence",category:"Probability",syntax:["kldivergence(x, y)"],description:"Calculate the Kullback-Leibler (KL) divergence  between two distributions.",examples:["kldivergence([0.7,0.5,0.4], [0.2,0.9,0.5])"],seealso:[]}},function(e,t){e.exports={name:"multinomial",category:"Probability",syntax:["multinomial(A)"],description:"Multinomial Coefficients compute the number of ways of picking a1, a2, ..., ai unordered outcomes from `n` possibilities. multinomial takes one array of integers as an argument. The following condition must be enforced: every ai > 0.",examples:["multinomial([1, 2, 1])"],seealso:["combinations","factorial"]}},function(e,t){e.exports={name:"permutations",category:"Probability",syntax:["permutations(n)","permutations(n, k)"],description:"Compute the number of permutations of n items taken k at a time",examples:["permutations(5)","permutations(5, 3)"],seealso:["combinations","factorial"]}},function(e,t){e.exports={name:"pickRandom",category:"Probability",syntax:["pickRandom(array)","pickRandom(array, number)","pickRandom(array, weights)","pickRandom(array, number, weights)","pickRandom(array, weights, number)"],description:"Pick a random entry from a given array.",examples:["pickRandom(0:10)","pickRandom([1, 3, 1, 6])","pickRandom([1, 3, 1, 6], 2)","pickRandom([1, 3, 1, 6], [2, 3, 2, 1])","pickRandom([1, 3, 1, 6], 2, [2, 3, 2, 1])","pickRandom([1, 3, 1, 6], [2, 3, 2, 1], 2)"],seealso:["random","randomInt"]}},function(e,t){e.exports={name:"random",category:"Probability",syntax:["random()","random(max)","random(min, max)","random(size)","random(size, max)","random(size, min, max)"],description:"Return a random number.",examples:["random()","random(10, 20)","random([2, 3])"],seealso:["pickRandom","randomInt"]}},function(e,t){e.exports={name:"randomInt",category:"Probability",syntax:["randomInt(max)","randomInt(min, max)","randomInt(size)","randomInt(size, max)","randomInt(size, min, max)"],description:"Return a random integer number",examples:["randomInt(10, 20)","randomInt([2, 3], 10)"],seealso:["pickRandom","random"]}},function(e,t){e.exports={name:"compare",category:"Relational",syntax:["compare(x, y)"],description:"Compare two values. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:["compare(2, 3)","compare(3, 2)","compare(2, 2)","compare(5cm, 40mm)","compare(2, [1, 2, 3])"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compareNatural","compareText"]}},function(e,t){e.exports={name:"compareNatural",category:"Relational",syntax:["compareNatural(x, y)"],description:"Compare two values of any type in a deterministic, natural way. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:["compareNatural(2, 3)","compareNatural(3, 2)","compareNatural(2, 2)","compareNatural(5cm, 40mm)",'compareNatural("2", "10")',"compareNatural(2 + 3i, 2 + 4i)","compareNatural([1, 2, 4], [1, 2, 3])","compareNatural([1, 5], [1, 2, 3])","compareNatural([1, 2], [1, 2])","compareNatural({a: 2}, {a: 4})"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare","compareText"]}},function(e,t){e.exports={name:"compareText",category:"Relational",syntax:["compareText(x, y)"],description:"Compare two strings lexically. Comparison is case sensitive. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:['compareText("B", "A")','compareText("A", "B")','compareText("A", "A")','compareText("2", "10")','compare("2", "10")',"compare(2, 10)",'compareNatural("2", "10")','compareText("B", ["A", "B", "C"])'],seealso:["compare","compareNatural"]}},function(e,t){e.exports={name:"deepEqual",category:"Relational",syntax:["deepEqual(x, y)"],description:"Check equality of two matrices element wise. Returns true if the size of both matrices is equal and when and each of the elements are equal.",examples:["deepEqual([1,3,4], [1,3,4])","deepEqual([1,3,4], [1,3])"],seealso:["equal","unequal","smaller","larger","smallerEq","largerEq","compare"]}},function(e,t){e.exports={name:"equal",category:"Relational",syntax:["x == y","equal(x, y)"],description:"Check equality of two values. Returns true if the values are equal, and false if not.",examples:["2+2 == 3","2+2 == 4","a = 3.2","b = 6-2.8","a == b","50cm == 0.5m"],seealso:["unequal","smaller","larger","smallerEq","largerEq","compare","deepEqual","equalText"]}},function(e,t){e.exports={name:"equalText",category:"Relational",syntax:["equalText(x, y)"],description:"Check equality of two strings. Comparison is case sensitive. Returns true if the values are equal, and false if not.",examples:['equalText("Hello", "Hello")','equalText("a", "A")','equal("2e3", "2000")','equalText("2e3", "2000")','equalText("B", ["A", "B", "C"])'],seealso:["compare","compareNatural","compareText","equal"]}},function(e,t){e.exports={name:"larger",category:"Relational",syntax:["x > y","larger(x, y)"],description:"Check if value x is larger than y. Returns true if x is larger than y, and false if not.",examples:["2 > 3","5 > 2*2","a = 3.3","b = 6-2.8","(a > b)","(b < a)","5 cm > 2 inch"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare"]}},function(e,t){e.exports={name:"largerEq",category:"Relational",syntax:["x >= y","largerEq(x, y)"],description:"Check if value x is larger or equal to y. Returns true if x is larger or equal to y, and false if not.",examples:["2 >= 1+1","2 > 1+1","a = 3.2","b = 6-2.8","(a >= b)"],seealso:["equal","unequal","smallerEq","smaller","compare"]}},function(e,t){e.exports={name:"smaller",category:"Relational",syntax:["x < y","smaller(x, y)"],description:"Check if value x is smaller than value y. Returns true if x is smaller than y, and false if not.",examples:["2 < 3","5 < 2*2","a = 3.3","b = 6-2.8","(a < b)","5 cm < 2 inch"],seealso:["equal","unequal","larger","smallerEq","largerEq","compare"]}},function(e,t){e.exports={name:"smallerEq",category:"Relational",syntax:["x <= y","smallerEq(x, y)"],description:"Check if value x is smaller or equal to value y. Returns true if x is smaller than y, and false if not.",examples:["2 <= 1+1","2 < 1+1","a = 3.2","b = 6-2.8","(a <= b)"],seealso:["equal","unequal","larger","smaller","largerEq","compare"]}},function(e,t){e.exports={name:"unequal",category:"Relational",syntax:["x != y","unequal(x, y)"],description:"Check unequality of two values. Returns true if the values are unequal, and false if they are equal.",examples:["2+2 != 3","2+2 != 4","a = 3.2","b = 6-2.8","a != b","50cm != 0.5m","5 cm != 2 inch"],seealso:["equal","smaller","larger","smallerEq","largerEq","compare","deepEqual"]}},function(e,t){e.exports={name:"setCartesian",category:"Set",syntax:["setCartesian(set1, set2)"],description:"Create the cartesian product of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setCartesian([1, 2], [3, 4])"],seealso:["setUnion","setIntersect","setDifference","setPowerset"]}},function(e,t){e.exports={name:"setDifference",category:"Set",syntax:["setDifference(set1, set2)"],description:"Create the difference of two (multi)sets: every element of set1, that is not the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setDifference([1, 2, 3, 4], [3, 4, 5, 6])","setDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setIntersect","setSymDifference"]}},function(e,t){e.exports={name:"setDistinct",category:"Set",syntax:["setDistinct(set)"],description:"Collect the distinct elements of a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setDistinct([1, 1, 1, 2, 2, 3])"],seealso:["setMultiplicity"]}},function(e,t){e.exports={name:"setIntersect",category:"Set",syntax:["setIntersect(set1, set2)"],description:"Create the intersection of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setIntersect([1, 2, 3, 4], [3, 4, 5, 6])","setIntersect([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setDifference"]}},function(e,t){e.exports={name:"setIsSubset",category:"Set",syntax:["setIsSubset(set1, set2)"],description:"Check whether a (multi)set is a subset of another (multi)set: every element of set1 is the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setIsSubset([1, 2], [3, 4, 5, 6])","setIsSubset([3, 4], [3, 4, 5, 6])"],seealso:["setUnion","setIntersect","setDifference"]}},function(e,t){e.exports={name:"setMultiplicity",category:"Set",syntax:["setMultiplicity(element, set)"],description:"Count the multiplicity of an element in a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setMultiplicity(1, [1, 2, 2, 4])","setMultiplicity(2, [1, 2, 2, 4])"],seealso:["setDistinct","setSize"]}},function(e,t){e.exports={name:"setPowerset",category:"Set",syntax:["setPowerset(set)"],description:"Create the powerset of a (multi)set: the powerset contains very possible subsets of a (multi)set. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setPowerset([1, 2, 3])"],seealso:["setCartesian"]}},function(e,t){e.exports={name:"setSize",category:"Set",syntax:["setSize(set)","setSize(set, unique)"],description:'Count the number of elements of a (multi)set. When the second parameter "unique" is true, count only the unique values. A multi-dimension array will be converted to a single-dimension array before the operation.',examples:["setSize([1, 2, 2, 4])","setSize([1, 2, 2, 4], true)"],seealso:["setUnion","setIntersect","setDifference"]}},function(e,t){e.exports={name:"setSymDifference",category:"Set",syntax:["setSymDifference(set1, set2)"],description:"Create the symmetric difference of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setSymDifference([1, 2, 3, 4], [3, 4, 5, 6])","setSymDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setIntersect","setDifference"]}},function(e,t){e.exports={name:"setUnion",category:"Set",syntax:["setUnion(set1, set2)"],description:"Create the union of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setUnion([1, 2, 3, 4], [3, 4, 5, 6])","setUnion([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setIntersect","setDifference"]}},function(e,t){e.exports={name:"erf",category:"Special",syntax:["erf(x)"],description:"Compute the erf function of a value using a rational Chebyshev approximations for different intervals of x",examples:["erf(0.2)","erf(-0.5)","erf(4)"],seealso:[]}},function(e,t){e.exports={name:"mad",category:"Statistics",syntax:["mad(a, b, c, ...)","mad(A)"],description:"Compute the median absolute deviation of a matrix or a list with values. The median absolute deviation is defined as the median of the absolute deviations from the median.",examples:["mad(10, 20, 30)","mad([1, 2, 3])"],seealso:["mean","median","std","abs"]}},function(e,t){e.exports={name:"max",category:"Statistics",syntax:["max(a, b, c, ...)","max(A)","max(A, dim)"],description:"Compute the maximum value of a list of values.",examples:["max(2, 3, 4, 1)","max([2, 3, 4, 1])","max([2, 5; 4, 3])","max([2, 5; 4, 3], 1)","max([2, 5; 4, 3], 2)","max(2.7, 7.1, -4.5, 2.0, 4.1)","min(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["mean","median","min","prod","std","sum","var"]}},function(e,t){e.exports={name:"mean",category:"Statistics",syntax:["mean(a, b, c, ...)","mean(A)","mean(A, dim)"],description:"Compute the arithmetic mean of a list of values.",examples:["mean(2, 3, 4, 1)","mean([2, 3, 4, 1])","mean([2, 5; 4, 3])","mean([2, 5; 4, 3], 1)","mean([2, 5; 4, 3], 2)","mean([1.0, 2.7, 3.2, 4.0])"],seealso:["max","median","min","prod","std","sum","var"]}},function(e,t){e.exports={name:"median",category:"Statistics",syntax:["median(a, b, c, ...)","median(A)"],description:"Compute the median of all values. The values are sorted and the middle value is returned. In case of an even number of values, the average of the two middle values is returned.",examples:["median(5, 2, 7)","median([3, -1, 5, 7])"],seealso:["max","mean","min","prod","std","sum","var","quantileSeq"]}},function(e,t){e.exports={name:"min",category:"Statistics",syntax:["min(a, b, c, ...)","min(A)","min(A, dim)"],description:"Compute the minimum value of a list of values.",examples:["min(2, 3, 4, 1)","min([2, 3, 4, 1])","min([2, 5; 4, 3])","min([2, 5; 4, 3], 1)","min([2, 5; 4, 3], 2)","min(2.7, 7.1, -4.5, 2.0, 4.1)","max(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["max","mean","median","prod","std","sum","var"]}},function(e,t){e.exports={name:"mode",category:"Statistics",syntax:["mode(a, b, c, ...)","mode(A)","mode(A, a, b, B, c, ...)"],description:"Computes the mode of all values as an array. In case mode being more than one, multiple values are returned in an array.",examples:["mode(2, 1, 4, 3, 1)","mode([1, 2.7, 3.2, 4, 2.7])","mode(1, 4, 6, 1, 6)"],seealso:["max","mean","min","median","prod","std","sum","var"]}},function(e,t){e.exports={name:"prod",category:"Statistics",syntax:["prod(a, b, c, ...)","prod(A)"],description:"Compute the product of all values.",examples:["prod(2, 3, 4)","prod([2, 3, 4])","prod([2, 5; 4, 3])"],seealso:["max","mean","min","median","min","std","sum","var"]}},function(e,t){e.exports={name:"quantileSeq",category:"Statistics",syntax:["quantileSeq(A, prob[, sorted])","quantileSeq(A, [prob1, prob2, ...][, sorted])","quantileSeq(A, N[, sorted])"],description:"Compute the prob order quantile of a matrix or a list with values. The sequence is sorted and the middle value is returned. Supported types of sequence values are: Number, BigNumber, Unit Supported types of probablity are: Number, BigNumber. \n\nIn case of a (multi dimensional) array or matrix, the prob order quantile of all elements will be calculated.",examples:["quantileSeq([3, -1, 5, 7], 0.5)","quantileSeq([3, -1, 5, 7], [1/3, 2/3])","quantileSeq([3, -1, 5, 7], 2)","quantileSeq([-1, 3, 5, 7], 0.5, true)"],seealso:["mean","median","min","max","prod","std","sum","var"]}},function(e,t){e.exports={name:"std",category:"Statistics",syntax:["std(a, b, c, ...)","std(A)","std(A, normalization)"],description:'Compute the standard deviation of all values, defined as std(A) = sqrt(var(A)). Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".',examples:["std(2, 4, 6)","std([2, 4, 6, 8])",'std([2, 4, 6, 8], "uncorrected")','std([2, 4, 6, 8], "biased")',"std([1, 2, 3; 4, 5, 6])"],seealso:["max","mean","min","median","min","prod","sum","var"]}},function(e,t){e.exports={name:"sum",category:"Statistics",syntax:["sum(a, b, c, ...)","sum(A)"],description:"Compute the sum of all values.",examples:["sum(2, 3, 4, 1)","sum([2, 3, 4, 1])","sum([2, 5; 4, 3])"],seealso:["max","mean","median","min","prod","std","sum","var"]}},function(e,t){e.exports={name:"var",category:"Statistics",syntax:["var(a, b, c, ...)","var(A)","var(A, normalization)"],description:'Compute the variance of all values. Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".',examples:["var(2, 4, 6)","var([2, 4, 6, 8])",'var([2, 4, 6, 8], "uncorrected")','var([2, 4, 6, 8], "biased")',"var([1, 2, 3; 4, 5, 6])"],seealso:["max","mean","min","median","min","prod","std","sum"]}},function(e,t){e.exports={name:"acos",category:"Trigonometry",syntax:["acos(x)"],description:"Compute the inverse cosine of a value in radians.",examples:["acos(0.5)","acos(cos(2.3))"],seealso:["cos","atan","asin"]}},function(e,t){e.exports={name:"acosh",category:"Trigonometry",syntax:["acosh(x)"],description:"Calculate the hyperbolic arccos of a value, defined as `acosh(x) = ln(sqrt(x^2 - 1) + x)`.",examples:["acosh(1.5)"],seealso:["cosh","asinh","atanh"]}},function(e,t){e.exports={name:"acot",category:"Trigonometry",syntax:["acot(x)"],description:"Calculate the inverse cotangent of a value.",examples:["acot(0.5)","acot(cot(0.5))","acot(2)"],seealso:["cot","atan"]}},function(e,t){e.exports={name:"acoth",category:"Trigonometry",syntax:["acoth(x)"],description:"Calculate the hyperbolic arccotangent of a value, defined as `acoth(x) = (ln((x+1)/x) + ln(x/(x-1))) / 2`.",examples:["acoth(2)","acoth(0.5)"],seealso:["acsch","asech"]}},function(e,t){e.exports={name:"acsc",category:"Trigonometry",syntax:["acsc(x)"],description:"Calculate the inverse cotangent of a value.",examples:["acsc(2)","acsc(csc(0.5))","acsc(0.5)"],seealso:["csc","asin","asec"]}},function(e,t){e.exports={name:"acsch",category:"Trigonometry",syntax:["acsch(x)"],description:"Calculate the hyperbolic arccosecant of a value, defined as `acsch(x) = ln(1/x + sqrt(1/x^2 + 1))`.",examples:["acsch(0.5)"],seealso:["asech","acoth"]}},function(e,t){e.exports={name:"asec",category:"Trigonometry",syntax:["asec(x)"],description:"Calculate the inverse secant of a value.",examples:["asec(0.5)","asec(sec(0.5))","asec(2)"],seealso:["acos","acot","acsc"]}},function(e,t){e.exports={name:"asech",category:"Trigonometry",syntax:["asech(x)"],description:"Calculate the inverse secant of a value.",examples:["asech(0.5)"],seealso:["acsch","acoth"]}},function(e,t){e.exports={name:"asin",category:"Trigonometry",syntax:["asin(x)"],description:"Compute the inverse sine of a value in radians.",examples:["asin(0.5)","asin(sin(0.5))"],seealso:["sin","acos","atan"]}},function(e,t){e.exports={name:"asinh",category:"Trigonometry",syntax:["asinh(x)"],description:"Calculate the hyperbolic arcsine of a value, defined as `asinh(x) = ln(x + sqrt(x^2 + 1))`.",examples:["asinh(0.5)"],seealso:["acosh","atanh"]}},function(e,t){e.exports={name:"atan",category:"Trigonometry",syntax:["atan(x)"],description:"Compute the inverse tangent of a value in radians.",examples:["atan(0.5)","atan(tan(0.5))"],seealso:["tan","acos","asin"]}},function(e,t){e.exports={name:"atanh",category:"Trigonometry",syntax:["atanh(x)"],description:"Calculate the hyperbolic arctangent of a value, defined as `atanh(x) = ln((1 + x)/(1 - x)) / 2`.",examples:["atanh(0.5)"],seealso:["acosh","asinh"]}},function(e,t){e.exports={name:"atan2",category:"Trigonometry",syntax:["atan2(y, x)"],description:"Computes the principal value of the arc tangent of y/x in radians.",examples:["atan2(2, 2) / pi","angle = 60 deg in rad","x = cos(angle)","y = sin(angle)","atan2(y, x)"],seealso:["sin","cos","tan"]}},function(e,t){e.exports={name:"cos",category:"Trigonometry",syntax:["cos(x)"],description:"Compute the cosine of x in radians.",examples:["cos(2)","cos(pi / 4) ^ 2","cos(180 deg)","cos(60 deg)","sin(0.2)^2 + cos(0.2)^2"],seealso:["acos","sin","tan"]}},function(e,t){e.exports={name:"cosh",category:"Trigonometry",syntax:["cosh(x)"],description:"Compute the hyperbolic cosine of x in radians.",examples:["cosh(0.5)"],seealso:["sinh","tanh","coth"]}},function(e,t){e.exports={name:"cot",category:"Trigonometry",syntax:["cot(x)"],description:"Compute the cotangent of x in radians. Defined as 1/tan(x)",examples:["cot(2)","1 / tan(2)"],seealso:["sec","csc","tan"]}},function(e,t){e.exports={name:"coth",category:"Trigonometry",syntax:["coth(x)"],description:"Compute the hyperbolic cotangent of x in radians.",examples:["coth(2)","1 / tanh(2)"],seealso:["sech","csch","tanh"]}},function(e,t){e.exports={name:"csc",category:"Trigonometry",syntax:["csc(x)"],description:"Compute the cosecant of x in radians. Defined as 1/sin(x)",examples:["csc(2)","1 / sin(2)"],seealso:["sec","cot","sin"]}},function(e,t){e.exports={name:"csch",category:"Trigonometry",syntax:["csch(x)"],description:"Compute the hyperbolic cosecant of x in radians. Defined as 1/sinh(x)",examples:["csch(2)","1 / sinh(2)"],seealso:["sech","coth","sinh"]}},function(e,t){e.exports={name:"sec",category:"Trigonometry",syntax:["sec(x)"],description:"Compute the secant of x in radians. Defined as 1/cos(x)",examples:["sec(2)","1 / cos(2)"],seealso:["cot","csc","cos"]}},function(e,t){e.exports={name:"sech",category:"Trigonometry",syntax:["sech(x)"],description:"Compute the hyperbolic secant of x in radians. Defined as 1/cosh(x)",examples:["sech(2)","1 / cosh(2)"],seealso:["coth","csch","cosh"]}},function(e,t){e.exports={name:"sin",category:"Trigonometry",syntax:["sin(x)"],description:"Compute the sine of x in radians.",examples:["sin(2)","sin(pi / 4) ^ 2","sin(90 deg)","sin(30 deg)","sin(0.2)^2 + cos(0.2)^2"],seealso:["asin","cos","tan"]}},function(e,t){e.exports={name:"sinh",category:"Trigonometry",syntax:["sinh(x)"],description:"Compute the hyperbolic sine of x in radians.",examples:["sinh(0.5)"],seealso:["cosh","tanh"]}},function(e,t){e.exports={name:"tan",category:"Trigonometry",syntax:["tan(x)"],description:"Compute the tangent of x in radians.",examples:["tan(0.5)","sin(0.5) / cos(0.5)","tan(pi / 4)","tan(45 deg)"],seealso:["atan","sin","cos"]}},function(e,t){e.exports={name:"tanh",category:"Trigonometry",syntax:["tanh(x)"],description:"Compute the hyperbolic tangent of x in radians.",examples:["tanh(0.5)","sinh(0.5) / cosh(0.5)"],seealso:["sinh","cosh"]}},function(e,t){e.exports={name:"to",category:"Units",syntax:["x to unit","to(x, unit)"],description:"Change the unit of a value.",examples:["5 inch to cm","3.2kg to g","16 bytes in bits"],seealso:[]}},function(e,t){e.exports={name:"clone",category:"Utils",syntax:["clone(x)"],description:"Clone a variable. Creates a copy of primitive variables,and a deep copy of matrices",examples:["clone(3.5)","clone(2 - 4i)","clone(45 deg)","clone([1, 2; 3, 4])",'clone("hello world")'],seealso:[]}},function(e,t){e.exports={name:"format",category:"Utils",syntax:["format(value)","format(value, precision)"],description:"Format a value of any type as string.",examples:["format(2.3)","format(3 - 4i)","format([])","format(pi, 3)"],seealso:["print"]}},function(e,t){e.exports={name:"isNaN",category:"Utils",syntax:["isNaN(x)"],description:"Test whether a value is NaN (not a number)",examples:["isNaN(2)","isNaN(0 / 0)","isNaN(NaN)","isNaN(Infinity)"],seealso:["isNegative","isNumeric","isPositive","isZero"]}},function(e,t){e.exports={name:"isInteger",category:"Utils",syntax:["isInteger(x)"],description:"Test whether a value is an integer number.",examples:["isInteger(2)","isInteger(3.5)","isInteger([3, 0.5, -2])"],seealso:["isNegative","isNumeric","isPositive","isZero"]}},function(e,t){e.exports={name:"isNegative",category:"Utils",syntax:["isNegative(x)"],description:"Test whether a value is negative: smaller than zero.",examples:["isNegative(2)","isNegative(0)","isNegative(-4)","isNegative([3, 0.5, -2])"],seealso:["isInteger","isNumeric","isPositive","isZero"]}},function(e,t){e.exports={name:"isNumeric",category:"Utils",syntax:["isNumeric(x)"],description:"Test whether a value is a numeric value. Returns true when the input is a number, BigNumber, Fraction, or boolean.",examples:["isNumeric(2)",'isNumeric("2")','hasNumericValue("2")',"isNumeric(0)","isNumeric(bignumber(500))","isNumeric(fraction(0.125))","isNumeric(2 + 3i)",'isNumeric([2.3, "foo", false])'],seealso:["isInteger","isZero","isNegative","isPositive","isNaN","hasNumericValue"]}},function(e,t){e.exports={name:"hasNumericValue",category:"Utils",syntax:["hasNumericValue(x)"],description:"Test whether a value is an numeric value. In case of a string, true is returned if the string contains a numeric value.",examples:["hasNumericValue(2)",'hasNumericValue("2")','isNumeric("2")',"hasNumericValue(0)","hasNumericValue(bignumber(500))","hasNumericValue(fraction(0.125))","hasNumericValue(2 + 3i)",'hasNumericValue([2.3, "foo", false])'],seealso:["isInteger","isZero","isNegative","isPositive","isNaN","isNumeric"]}},function(e,t){e.exports={name:"isPositive",category:"Utils",syntax:["isPositive(x)"],description:"Test whether a value is positive: larger than zero.",examples:["isPositive(2)","isPositive(0)","isPositive(-4)","isPositive([3, 0.5, -2])"],seealso:["isInteger","isNumeric","isNegative","isZero"]}},function(e,t){e.exports={name:"isPrime",category:"Utils",syntax:["isPrime(x)"],description:"Test whether a value is prime: has no divisors other than itself and one.",examples:["isPrime(3)","isPrime(-2)","isPrime([2, 17, 100])"],seealso:["isInteger","isNumeric","isNegative","isZero"]}},function(e,t){e.exports={name:"isZero",category:"Utils",syntax:["isZero(x)"],description:"Test whether a value is zero.",examples:["isZero(2)","isZero(0)","isZero(-4)","isZero([3, 0, -2, 0])"],seealso:["isInteger","isNumeric","isNegative","isPositive"]}},function(e,t){e.exports={name:"typeof",category:"Utils",syntax:["typeof(x)"],description:"Get the type of a variable.",examples:["typeof(3.5)","typeof(2 - 4i)","typeof(45 deg)",'typeof("hello world")'],seealso:["getMatrixDataType"]}},function(e,t,r){"use strict";e.exports=[r(558),r(559),r(560),r(128),r(156)]},function(e,t,o){"use strict";var a=o(0);t.name="compile",t.factory=function(e,t,r,n){var i=r(o(44));return n("compile",{string:function(e){return i(e).compile()},"Array | Matrix":function(e){return a(e,function(e){return i(e).compile()})}})}},function(e,t,o){"use strict";var a=o(0);t.name="eval",t.factory=function(e,t,r,n){var i=r(o(44));return n("compile",{string:function(e){return i(e).compile().eval({})},"string, Object":function(e,t){return i(e).compile().eval(t)},"Array | Matrix":function(e){var t={};return a(e,function(e){return i(e).compile().eval(t)})},"Array | Matrix, Object":function(e,t){return a(e,function(e){return i(e).compile().eval(t)})}})}},function(e,t,n){"use strict";var s=n(13).getSafeProperty;t.math=!0,t.name="help",t.factory=function(i,e,t,r,o){var a=t(n(153));return r("help",{any:function(e){var t,r=e;if("string"!=typeof e)for(t in o)if(o.hasOwnProperty(t)&&e===o[t]){r=t;break}var n=s(a,r);if(!n)throw new Error('No documentation found on "'+r+'"');return new i.Help(n)}})}},function(e,t,r){"use strict";e.exports=[r(112),r(115),r(116),r(117),r(118),r(58),r(120),r(119),r(69),r(16),r(121),r(59),r(68),r(122),r(123),r(54),r(562)]},function(e,t,r){"use strict";t.name="UpdateNode",t.path="expression.node",t.factory=function(e,t,r,n){return function(){throw new Error("UpdateNode is deprecated. Use AssignmentNode instead.")}}},function(e,t,r){"use strict";e.exports=[r(564),r(565),r(566),r(567),r(568),r(569),r(570),r(571),r(572),r(573),r(574),r(575),r(576),r(577)]},function(e,t,o){"use strict";var a=o(25).transform;t.name="apply",t.path="expression.transform",t.factory=function(r,e,t,n){var i=t(o(95));return n("apply",{"...any":function(e){var t=e[1];r.isNumber(t)?e[1]=t-1:r.isBigNumber(t)&&(e[1]=t.minus(1));try{return i.apply(null,e)}catch(e){throw a(e)}}})}},function(e,t,o){"use strict";var a=o(25).transform;t.name="concat",t.path="expression.transform",t.factory=function(n,e,t,r){var i=t(o(77));return r("concat",{"...any":function(e){var t=e.length-1,r=e[t];n.isNumber(r)?e[t]=r-1:n.isBigNumber(r)&&(e[t]=r.minus(1));try{return i.apply(null,e)}catch(e){throw a(e)}}})}},function(e,t,u){"use strict";var r=u(2).filter,c=u(2).filterRegExp,o=u(36).maxArgumentCount;function f(e,n){var i=o(n);return r(e,function(e,t,r){return 1===i?n(e):2===i?n(e,[t+1]):n(e,[t+1],r)})}t.name="filter",t.path="expression.transform",t.factory=function(o,e,t,r){var a=t(u(101)),n=t(u(1));function i(e,t,r){var n,i;return e[0]&&(n=e[0].compile().eval(r)),e[1]&&(i=o.isSymbolNode(e[1])||o.isFunctionAssignmentNode(e[1])?e[1].compile().eval(r):a(e[1],t,r)),s(n,i)}i.rawArgs=!0;var s=r("filter",{"Array, function":f,"Matrix, function":function(e,t){return n(f(e.toArray(),t))},"Array, RegExp":c,"Matrix, RegExp":function(e,t){return n(c(e.toArray(),t))}});return s.toTex=void 0,i}},function(e,t,i){"use strict";var u=i(36).maxArgumentCount,c=i(2).forEach;t.name="forEach",t.path="expression.transform",t.factory=function(o,e,t,r){var a=t(i(101));function n(e,t,r){var n,i;return e[0]&&(n=e[0].compile().eval(r)),e[1]&&(i=o.isSymbolNode(e[1])||o.isFunctionAssignmentNode(e[1])?e[1].compile().eval(r):a(e[1],t,r)),s(n,i)}n.rawArgs=!0;var s=r("forEach",{"Array | Matrix, function":function(t,i){var o=u(i);!function r(e,n){Array.isArray(e)?c(e,function(e,t){r(e,n.concat(t+1))}):1===o?i(e):2===o?i(e,n):i(e,n,t)}(t.valueOf(),[])}});return n}},function(e,t,r){"use strict";t.name="index",t.path="expression.transform",t.factory=function(o,e,t){return function(){for(var e=[],t=0,r=arguments.length;t<r;t++){var n=arguments[t];if(o.isRange(n))n.start--,n.end-=0<n.step?0:2;else if(n&&!0===n.isSet)n=n.map(function(e){return e-1});else if(o.isArray(n)||o.isMatrix(n))n=n.map(function(e){return e-1});else if(o.isNumber(n))n--;else if(o.isBigNumber(n))n=n.toNumber()-1;else if("string"!=typeof n)throw new TypeError("Dimension must be an Array, Matrix, number, string, or Range");e[t]=n}var i=new o.Index;return o.Index.apply(i,e),i}}},function(e,t,u){"use strict";var r=u(36).maxArgumentCount,a=u(2).map;function c(e,t,i){var o=r(t);return function r(e,n){return Array.isArray(e)?a(e,function(e,t){return r(e,n.concat(t+1))}):1===o?t(e):2===o?t(e,n):t(e,n,i)}(e,[])}t.name="map",t.path="expression.transform",t.factory=function(o,e,t,r){var a=t(u(101)),n=t(u(1));function i(e,t,r){var n,i;return e[0]&&(n=e[0].compile().eval(r)),e[1]&&(i=o.isSymbolNode(e[1])||o.isFunctionAssignmentNode(e[1])?e[1].compile().eval(r):a(e[1],t,r)),s(n,i)}i.rawArgs=!0;var s=r("map",{"Array, function":function(e,t){return c(e,t,e)},"Matrix, function":function(e,t){return n(c(e.valueOf(),t,e))}});return i}},function(e,t,o){"use strict";var a=o(25).transform,s=o(35);t.name="max",t.path="expression.transform",t.factory=function(r,e,t,n){var i=t(o(97));return n("max",{"...any":function(e){if(2===e.length&&s(e[0])){var t=e[1];r.isNumber(t)?e[1]=t-1:r.isBigNumber(t)&&(e[1]=t.minus(1))}try{return i.apply(null,e)}catch(e){throw a(e)}}})}},function(e,t,o){"use strict";var a=o(25).transform,s=o(35);t.name="mean",t.path="expression.transform",t.factory=function(r,e,t,n){var i=t(o(150));return n("mean",{"...any":function(e){if(2===e.length&&s(e[0])){var t=e[1];r.isNumber(t)?e[1]=t-1:r.isBigNumber(t)&&(e[1]=t.minus(1))}try{return i.apply(null,e)}catch(e){throw a(e)}}})}},function(e,t,o){"use strict";var a=o(25).transform,s=o(35);t.name="min",t.path="expression.transform",t.factory=function(r,e,t,n){var i=t(o(151));return n("min",{"...any":function(e){if(2===e.length&&s(e[0])){var t=e[1];r.isNumber(t)?e[1]=t-1:r.isBigNumber(t)&&(e[1]=t.minus(1))}try{return i.apply(null,e)}catch(e){throw a(e)}}})}},function(e,t,o){"use strict";t.name="range",t.path="expression.transform",t.factory=function(e,t,r,n){var i=r(o(143));return n("range",{"...any":function(e){return"boolean"!=typeof e[e.length-1]&&e.push(!0),i.apply(null,e)}})}},function(e,t,o){"use strict";var a=o(25).transform,s=o(35);t.name="std",t.path="expression.transform",t.factory=function(r,e,t,n){var i=t(o(152));return n("std",{"...any":function(e){if(2<=e.length&&s(e[0])){var t=e[1];r.isNumber(t)?e[1]=t-1:r.isBigNumber(t)&&(e[1]=t.minus(1))}try{return i.apply(null,e)}catch(e){throw a(e)}}})}},function(e,t,o){"use strict";var a=o(25).transform;t.name="subset",t.path="expression.transform",t.factory=function(e,t,r,n){var i=r(o(22));return n("subset",{"...any":function(e){try{return i.apply(null,e)}catch(e){throw a(e)}}})}},function(e,t,o){"use strict";var a=o(25).transform,s=o(35);t.name="sum",t.path="expression.transform",t.factory=function(r,e,t,n){var i=t(o(98));return n("sum",{"...any":function(e){if(2===e.length&&s(e[0])){var t=e[1];r.isNumber(t)?e[1]=t-1:r.isBigNumber(t)&&(e[1]=t.minus(1))}try{return i.apply(null,e)}catch(e){throw a(e)}}})}},function(e,t,o){"use strict";var a=o(25).transform,s=o(35);t.name="var",t.path="expression.transform",t.factory=function(r,e,t,n){var i=t(o(100));return n("var",{"...any":function(e){if(2<=e.length&&s(e[0])){var t=e[1];r.isNumber(t)?e[1]=t-1:r.isBigNumber(t)&&(e[1]=t.minus(1))}try{return i.apply(null,e)}catch(e){throw a(e)}}})}},function(e,t,i){"use strict";var s=i(5),u=i(9);t.name="Help",t.path="type",t.factory=function(o,e,t,r){var a=t(i(156))();function n(e){if(!(this instanceof n))throw new SyntaxError("Constructor must be called with the new operator");if(!e)throw new Error('Argument "doc" missing');this.doc=e}return n.prototype.type="Help",n.prototype.isHelp=!0,n.prototype.toString=function(){var e=this.doc||{},t="\n";if(e.name&&(t+="Name: "+e.name+"\n\n"),e.category&&(t+="Category: "+e.category+"\n\n"),e.description&&(t+="Description:\n    "+e.description+"\n\n"),e.syntax&&(t+="Syntax:\n    "+e.syntax.join("\n    ")+"\n\n"),e.examples){t+="Examples:\n";for(var r=0;r<e.examples.length;r++){var n=e.examples[r];t+="    "+n+"\n";var i=void 0;try{i=a.eval(n)}catch(e){i=e}void 0===i||o.isHelp(i)||(t+="        "+u.format(i,{precision:14})+"\n")}t+="\n"}return e.seealso&&e.seealso.length&&(t+="See also: "+e.seealso.join(", ")+"\n"),t},n.prototype.toJSON=function(){var e=s.clone(this.doc);return e.mathjs="Help",e},n.fromJSON=function(e){var t={};for(var r in e)"mathjs"!==r&&(t[r]=e[r]);return new n(t)},n.prototype.valueOf=n.prototype.toString,n}},function(e,t,r){"use strict";e.exports=[r(580)]},function(e,t,r){"use strict";t.name="reviver",t.path="json",t.factory=function(n,e,t,r,i){return function(e,t){var r=n[t&&t.mathjs]||i.expression&&i.expression.node[t&&t.mathjs];return r&&"function"==typeof r.fromJSON?r.fromJSON(t):t}},t.math=!0},function(e,t,r){"use strict";var n=r(57),i=r(8),o=r(48);e.exports=[{name:"ArgumentsError",path:"error",factory:function(){return n}},{name:"DimensionError",path:"error",factory:function(){return i}},{name:"IndexError",path:"error",factory:function(){return o}}]}])});
+//# sourceMappingURL=math.min.map
\ No newline at end of file
diff --git a/00_blog/00040_Haskell/00220_Neural-Networks/neuroticus.html b/00_blog/00040_Haskell/00220_Neural-Networks/neuroticus.html
new file mode 100644
index 0000000..e63196d
--- /dev/null
+++ b/00_blog/00040_Haskell/00220_Neural-Networks/neuroticus.html
@@ -0,0 +1,181 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head>
+      	<meta charset="UTF-8" />
+          <script src="math.min.js" type="text/javascript"></script>
+    </head>
+    <body>
+        
+        <div style="margin:auto;width:320px;">
+        <h1> N e U r O t I c U s </h1>
+        <p>
+        A simple feedforward neural network running in Javascript. It was trained in Haskell on the MNIST Dataset. 
+        You can read more about this little project <a href="index.html">here</a>.
+        </p>
+        <p>Press <b>rand simpl.</b> to cycle randomly through 100 test samples, then press <b> ask neuro</b> to fire the neuro net</p>
+        </div>
+        <div style="margin:auto;width:280px;"> <!--<button onclick="cleanCanv()">Clean</button>--> <button onclick="askNet()">Ask Neuro</button> <button onclick="rndSmpl()">rand smpl.</button></div>
+        <canvas id="canvasInAPerfectWorld" width="280" height="280" style="display:block;margin:auto;border:3px solid black;"></canvas>
+        <div style="margin:auto;width:280px;"> <!--<button onclick="cleanCanv()">Clean</button>--> <button onclick="askNet()">Ask Neuro</button> <button onclick="rndSmpl()">rand smpl.</button></div>
+        <div id="outp" style="margin:auto;width:280px;"></div>
+        <div style="margin:auto;width:280px;margin-top:10px;"><hr />hacked together by <a href="https://www.idziorek.net">miguel</a> on 23rd Mar 2019.</div>
+        
+        <script>
+samp=[[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.32941176470588235,0.7254901960784313,0.6235294117647059,0.592156862745098,0.23529411764705882,0.1411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8705882352941177,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9450980392156862,0.7764705882352941,0.7764705882352941,0.7764705882352941,0.7764705882352941,0.7764705882352941,0.7764705882352941,0.7764705882352941,0.7764705882352941,0.6666666666666666,0.20392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2627450980392157,0.4470588235294118,0.2823529411764706,0.4470588235294118,0.6392156862745098,0.8901960784313725,0.996078431372549,0.8823529411764706,0.996078431372549,0.996078431372549,0.996078431372549,0.9803921568627451,0.8980392156862745,0.996078431372549,0.996078431372549,0.5490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.25882352941176473,5.4901960784313725e-2,0.2627450980392157,0.2627450980392157,0.2627450980392157,0.23137254901960785,8.235294117647059e-2,0.9254901960784314,0.996078431372549,0.41568627450980394,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3254901960784314,0.9921568627450981,0.8196078431372549,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.9137254901960784,1.0,0.3254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5058823529411764,0.996078431372549,0.9333333333333333,0.17254901960784313,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23137254901960785,0.9764705882352941,0.996078431372549,0.24313725490196078,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5215686274509804,0.996078431372549,0.7333333333333333,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.803921568627451,0.9725490196078431,0.22745098039215686,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.49411764705882355,0.996078431372549,0.7137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.29411764705882354,0.984313725490196,0.9411764705882353,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.8666666666666667,0.996078431372549,0.6509803921568628,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.796078431372549,0.996078431372549,0.8588235294117647,0.13725490196078433,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.14901960784313725,0.996078431372549,0.996078431372549,0.30196078431372547,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12156862745098039,0.8784313725490196,0.996078431372549,0.45098039215686275,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5215686274509804,0.996078431372549,0.996078431372549,0.20392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23921568627450981,0.9490196078431372,0.996078431372549,0.996078431372549,0.20392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4745098039215686,0.996078431372549,0.996078431372549,0.8588235294117647,0.1568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4745098039215686,0.996078431372549,0.8117647058823529,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4549019607843137,0.49019607843137253,0.6705882352941176,1.0,1.0,0.5882352941176471,0.36470588235294116,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6627450980392157,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8549019607843137,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6627450980392157,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8352941176470589,0.5568627450980392,0.6901960784313725,0.9921568627450981,0.9921568627450981,0.47843137254901963,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.20392156862745098,0.9803921568627451,0.9921568627450981,0.8235294117647058,0.12549019607843137,4.7058823529411764e-2,0.0,2.3529411764705882e-2,0.807843137254902,0.9921568627450981,0.5490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30196078431372547,0.984313725490196,0.8235294117647058,9.803921568627451e-2,0.0,0.0,0.0,0.47843137254901963,0.9725490196078431,0.9921568627450981,0.2549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12156862745098039,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.8196078431372549,0.9921568627450981,0.9921568627450981,0.2549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4588235294117647,0.9686274509803922,0.9921568627450981,0.7764705882352941,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2980392156862745,0.9686274509803922,0.9921568627450981,0.9058823529411765,0.24705882352941178,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,0.9921568627450981,0.9921568627450981,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6901960784313725,0.9647058823529412,0.9921568627450981,0.6235294117647059,4.7058823529411764e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.803921568627451e-2,0.9176470588235294,0.9921568627450981,0.9137254901960784,0.13725490196078433,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7764705882352941,0.9921568627450981,0.9921568627450981,0.5529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3058823529411765,0.9725490196078431,0.9921568627450981,0.7411764705882353,4.7058823529411764e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.7843137254901961,0.9921568627450981,0.9921568627450981,0.5529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5254901960784314,0.9921568627450981,0.9921568627450981,0.6784313725490196,4.7058823529411764e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9725490196078431,0.9921568627450981,0.9921568627450981,9.803921568627451e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9725490196078431,0.9921568627450981,0.9921568627450981,0.16862745098039217,7.84313725490196e-2,7.84313725490196e-2,7.84313725490196e-2,7.84313725490196e-2,1.96078431372549e-2,0.0,1.96078431372549e-2,7.84313725490196e-2,7.84313725490196e-2,0.1450980392156863,0.5882352941176471,0.5882352941176471,0.5882352941176471,0.5764705882352941,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9725490196078431,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6588235294117647,0.5607843137254902,0.6509803921568628,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.4823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6823529411764706,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9764705882352941,0.9686274509803922,0.9686274509803922,0.6627450980392157,0.4588235294117647,0.4588235294117647,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4627450980392157,0.4823529411764706,0.4823529411764706,0.4823529411764706,0.6509803921568628,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6078431372549019,0.4823529411764706,0.4823529411764706,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.14901960784313725,0.996078431372549,0.42745098039215684,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3411764705882353,0.9882352941176471,0.3215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5294117647058824,0.9450980392156862,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17647058823529413,0.9568627450980393,0.5882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.32941176470588235,0.996078431372549,0.24705882352941178,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.792156862745098,0.8745098039215686,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.996078431372549,0.8470588235294118,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.37254901960784315,0.996078431372549,0.7647058823529411,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5490196078431373,0.996078431372549,0.30196078431372547,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.9294117647058824,0.803921568627451,3.137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.48627450980392156,1.0,0.6470588235294118,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6705882352941176,0.996078431372549,0.3176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.411764705882353e-2,0.9098039215686274,0.8431372549019608,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.47058823529411764,0.996078431372549,0.6235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.592156862745098,0.996078431372549,0.5568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8941176470588236,0.996078431372549,0.25882352941176473,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23921568627450981,0.984313725490196,0.996078431372549,0.25882352941176473,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5529411764705883,0.996078431372549,0.803921568627451,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.8431372549019608,0.996078431372549,0.4745098039215686,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.7764705882352941,0.6901960784313725,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.5882352941176471,0.9921568627450981,0.792156862745098,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.984313725490196,0.984313725490196,0.9921568627450981,0.4196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.7725490196078432,0.984313725490196,0.984313725490196,0.9921568627450981,0.4196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.43137254901960786,0.7450980392156863,0.984313725490196,0.984313725490196,0.984313725490196,0.9921568627450981,0.6627450980392157,0.42745098039215684,0.24313725490196078,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.984313725490196,0.984313725490196,0.984313725490196,0.984313725490196,0.9921568627450981,0.984313725490196,0.984313725490196,0.8627450980392157,0.2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7137254901960784,1.0,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9176470588235294,0.8705882352941177,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.24705882352941178,0.8666666666666667,0.9921568627450981,0.984313725490196,0.984313725490196,0.984313725490196,0.5764705882352941,0.30196078431372547,0.24313725490196078,0.5019607843137255,0.984313725490196,0.984313725490196,0.4117647058823529,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.9058823529411765,0.984313725490196,0.9921568627450981,0.984313725490196,0.8627450980392157,0.5372549019607843,3.92156862745098e-2,0.0,0.0,0.12156862745098039,0.9019607843137255,0.984313725490196,0.9529411764705882,0.44313725490196076,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.984313725490196,0.984313725490196,0.9921568627450981,0.7372549019607844,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.42745098039215684,0.984313725490196,0.9921568627450981,0.984313725490196,0.13725490196078433,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.984313725490196,0.984313725490196,0.788235294117647,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.12156862745098039,0.7843137254901961,0.9921568627450981,0.984313725490196,0.13725490196078433,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.9921568627450981,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.792156862745098,1.0,0.9921568627450981,0.6431372549019608,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5490196078431373,0.984313725490196,0.984313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.42745098039215684,0.984313725490196,0.9921568627450981,0.984313725490196,0.13725490196078433,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8509803921568627,0.984313725490196,0.984313725490196,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.24705882352941178,0.9058823529411765,0.984313725490196,0.9921568627450981,0.9019607843137255,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8509803921568627,0.984313725490196,0.984313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.5647058823529412,0.984313725490196,0.984313725490196,0.984313725490196,0.8666666666666667,0.23921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8509803921568627,0.984313725490196,0.984313725490196,0.0,0.0,0.0,0.0,0.0,0.7137254901960784,0.8666666666666667,0.984313725490196,0.984313725490196,0.984313725490196,0.7058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8549019607843137,0.9921568627450981,0.9921568627450981,0.28627450980392155,0.28627450980392155,0.8941176470588236,0.9921568627450981,0.9921568627450981,1.0,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.44313725490196076,0.984313725490196,0.984313725490196,0.9921568627450981,0.984313725490196,0.984313725490196,0.984313725490196,0.984313725490196,0.9921568627450981,0.984313725490196,0.984313725490196,0.984313725490196,0.5764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12156862745098039,0.9019607843137255,0.984313725490196,0.9921568627450981,0.984313725490196,0.984313725490196,0.984313725490196,0.984313725490196,0.9921568627450981,0.9019607843137255,0.7411764705882353,0.13725490196078433,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.24313725490196078,0.5568627450980392,0.9921568627450981,0.984313725490196,0.984313725490196,0.984313725490196,0.984313725490196,0.9921568627450981,0.4196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2823529411764706,0.6823529411764706,0.984313725490196,0.6784313725490196,0.2784313725490196,0.2823529411764706,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.19607843137254902,0.8784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.27450980392156865,0.11372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4745098039215686,0.9058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5803921568627451,0.6588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.7647058823529411,0.9058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3764705882352941,0.8235294117647058,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.27058823529411763,0.9882352941176471,0.5254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4470588235294118,0.9882352941176471,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17647058823529413,0.9254901960784314,0.8509803921568627,4.7058823529411764e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7529411764705882,0.9882352941176471,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6588235294117647,0.9686274509803922,0.20784313725490197,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.058823529411765e-2,1.0,0.9921568627450981,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.32941176470588235,0.9490196078431372,0.8274509803921568,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5529411764705883,0.9921568627450981,0.7411764705882353,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6627450980392157,0.9882352941176471,0.41568627450980394,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.9098039215686274,0.9803921568627451,0.25882352941176473,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.8823529411764705e-2,0.8823529411764706,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5254901960784314,0.9882352941176471,0.8274509803921568,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.9882352941176471,0.6431372549019608,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6627450980392157,0.9882352941176471,0.6549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.8,0.8196078431372549,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.9921568627450981,0.9921568627450981,0.4196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6627450980392157,0.9882352941176471,0.7803921568627451,0.3333333333333333,0.3333333333333333,0.3333333333333333,0.3333333333333333,0.5058823529411764,0.6431372549019608,0.7647058823529411,0.9882352941176471,0.9882352941176471,0.41568627450980394,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.6666666666666666,0.9607843137254902,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9098039215686274,0.9058823529411765,0.984313725490196,0.9882352941176471,0.9882352941176471,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.19215686274509805,0.32941176470588235,0.32941176470588235,0.32941176470588235,0.32941176470588235,0.0,0.0,0.6313725490196078,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4980392156862745,0.9882352941176471,0.9882352941176471,0.17647058823529413,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,0.9921568627450981,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4980392156862745,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5294117647058824,0.9882352941176471,0.9568627450980393,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9098039215686274,0.9254901960784314,0.43529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7019607843137254,0.25882352941176473,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30196078431372547,0.996078431372549,0.4196078431372549,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.8901960784313725,0.996078431372549,0.996078431372549,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3176470588235294,0.996078431372549,0.996078431372549,0.6470588235294118,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.796078431372549,0.996078431372549,0.996078431372549,0.28627450980392155,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.20784313725490197,0.996078431372549,0.996078431372549,0.9803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5254901960784314,0.996078431372549,0.996078431372549,0.7058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7686274509803922,0.996078431372549,0.9725490196078431,0.18823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.22745098039215686,0.996078431372549,0.996078431372549,0.9294117647058824,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.43529411764705883,0.996078431372549,0.996078431372549,0.5176470588235295,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6392156862745098,0.996078431372549,0.9333333333333333,0.10980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23529411764705882,0.9882352941176471,0.996078431372549,0.8745098039215686,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30980392156862746,0.996078431372549,0.996078431372549,0.6039215686274509,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6392156862745098,0.996078431372549,0.9333333333333333,0.20784313725490197,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10980392156862745,0.9882352941176471,0.996078431372549,0.8235294117647058,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.33725490196078434,0.996078431372549,0.996078431372549,0.5137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4117647058823529,0.996078431372549,0.9176470588235294,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6862745098039216,0.996078431372549,0.8,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.8274509803921568,0.996078431372549,0.7686274509803922,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.6196078431372549,0.996078431372549,0.6274509803921569,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10196078431372549,0.615686274509804,0.4196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.7529411764705882,0.5254901960784314,0.12549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.8823529411764705e-2,0.30196078431372547,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.9215686274509803,0.9803921568627451,0.6627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.8823529411764705e-2,0.8627450980392157,0.9450980392156862,0.1450980392156863,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.7411764705882353,0.9921568627450981,0.5764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5450980392156862,0.9921568627450981,0.39215686274509803,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.27450980392156865,0.9921568627450981,0.9921568627450981,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.996078431372549,0.6784313725490196,5.0980392156862744e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.6,0.9921568627450981,0.3764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.9058823529411765,0.996078431372549,0.3607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6392156862745098,1.0,0.8,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.40784313725490196,0.996078431372549,0.6196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6352941176470588,0.9921568627450981,0.6980392156862745,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.5137254901960784,0.9294117647058824,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6352941176470588,0.9921568627450981,0.9921568627450981,0.7490196078431373,0.6862745098039216,0.27450980392156865,0.27450980392156865,0.27450980392156865,0.27450980392156865,0.5215686274509804,0.7725490196078432,0.9921568627450981,0.9921568627450981,0.6627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.8941176470588236,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.8588235294117647,0.13725490196078433,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.2549019607843137,0.5372549019607843,0.996078431372549,0.9098039215686274,0.5372549019607843,0.5372549019607843,0.5372549019607843,0.17254901960784313,0.9921568627450981,0.9921568627450981,0.6313725490196078,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13333333333333333,0.996078431372549,0.807843137254902,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6274509803921569,0.9921568627450981,0.27058823529411763,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3333333333333333,0.996078431372549,0.9450980392156862,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6196078431372549,0.996078431372549,0.6470588235294118,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9058823529411765,0.9568627450980393,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.40784313725490196,0.996078431372549,0.9098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8156862745098039,0.9921568627450981,0.615686274509804,0.0,5.0980392156862744e-2,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8156862745098039,0.9921568627450981,0.6039215686274509,0.3568627450980392,0.8,0.6313725490196078,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8156862745098039,0.9921568627450981,0.996078431372549,0.9921568627450981,0.6039215686274509,0.11372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23921568627450981,0.7450980392156863,0.5019607843137255,9.019607843137255e-2,2.3529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.5843137254901961,0.7568627450980392,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3568627450980392,0.8784313725490196,0.9921568627450981,0.9921568627450981,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10980392156862745,0.9215686274509803,0.996078431372549,0.9921568627450981,0.9921568627450981,0.6509803921568628,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5647058823529412,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9333333333333333,0.45098039215686275,2.3529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12156862745098039,0.9450980392156862,0.9921568627450981,0.8156862745098039,0.7254901960784313,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9058823529411765,9.411764705882353e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30980392156862746,0.996078431372549,0.7568627450980392,0.0,3.137254901960784e-2,0.3843137254901961,0.8588235294117647,0.996078431372549,1.0,0.788235294117647,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.33725490196078434,0.9921568627450981,0.3137254901960784,0.0,0.0,0.0,0.7137254901960784,0.9921568627450981,0.996078431372549,0.7490196078431373,4.7058823529411764e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6862745098039216,0.9921568627450981,0.6078431372549019,0.0,0.0,0.0,0.9176470588235294,0.9921568627450981,0.996078431372549,0.5294117647058824,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.33725490196078434,0.9921568627450981,0.8156862745098039,0.1568627450980392,0.3333333333333333,0.6509803921568628,0.984313725490196,0.9294117647058824,0.996078431372549,0.9254901960784314,0.16470588235294117,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.058823529411765e-2,0.9333333333333333,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.7254901960784313,0.1411764705882353,0.8470588235294118,0.9921568627450981,0.596078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.26666666666666666,0.9411764705882353,1.0,0.996078431372549,0.5686274509803921,3.137254901960784e-2,0.0,0.5254901960784314,0.996078431372549,0.8745098039215686,0.13725490196078433,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.26666666666666666,0.6196078431372549,0.5568627450980392,4.7058823529411764e-2,0.0,0.0,3.529411764705882e-2,0.6862745098039216,0.9921568627450981,0.6313725490196078,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34509803921568627,0.9921568627450981,0.8862745098039215,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.6509803921568628,0.9921568627450981,0.49411764705882355,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.18823529411764706,0.9607843137254902,0.9921568627450981,0.14901960784313725,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.45098039215686275,0.996078431372549,0.6745098039215687,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.8549019607843137,0.996078431372549,0.1803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11764705882352941,0.996078431372549,0.6470588235294118,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7294117647058823,0.9568627450980393,0.16470588235294117,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.8745098039215686,0.3058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.1843137254901961,0.1843137254901961,0.1843137254901961,6.274509803921569e-2,0.5058823529411764,0.3333333333333333,0.1843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.29411764705882354,0.6,0.8509803921568627,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8431372549019608,0.9647058823529412,0.9921568627450981,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13725490196078433,0.5568627450980392,0.9568627450980393,0.9882352941176471,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.24705882352941178,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8352941176470589,0.6666666666666666,0.6666666666666666,0.6666666666666666,0.6666666666666666,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.5176470588235295,0.2823529411764706,0.0,0.2235294117647059,0.9333333333333333,0.8901960784313725,0.9333333333333333,0.6588235294117647,0.48627450980392156,0.27058823529411763,7.84313725490196e-2,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.807843137254902,0.9921568627450981,0.3058823529411765,0.0,0.0,0.12549019607843137,0.0,0.11764705882352941,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.6941176470588235,0.9921568627450981,0.5176470588235295,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.7058823529411764e-2,0.5215686274509804,0.9921568627450981,0.9137254901960784,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3607843137254902,0.9921568627450981,0.8745098039215686,0.10980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5882352941176471,0.9921568627450981,0.6823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9176470588235294,0.9921568627450981,0.9647058823529412,0.4980392156862745,0.19215686274509805,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.984313725490196,0.5764705882352941,0.3568627450980392,0.4745098039215686,0.3333333333333333,0.16470588235294117,0.16470588235294117,0.3333333333333333,0.10980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5450980392156862,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9098039215686274,0.6588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.20784313725490197,0.8549019607843137,0.8705882352941177,0.984313725490196,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9882352941176471,0.48627450980392156,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2627450980392157,0.2823529411764706,0.7843137254901961,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6862745098039216,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.47058823529411764,0.9921568627450981,0.9764705882352941,0.596078431372549,0.2,0.6431372549019608,0.9921568627450981,0.9921568627450981,0.6862745098039216,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.19607843137254902,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7372549019607844,0.9882352941176471,0.9921568627450981,0.9921568627450981,0.5803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.6549019607843137,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9803921568627451,0.6862745098039216,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.019607843137255e-2,0.7058823529411765,0.9058823529411765,0.9921568627450981,0.8666666666666667,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.36470588235294116,0.5843137254901961,8.627450980392157e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1411764705882353,0.2196078431372549,0.5372549019607843,0.788235294117647,0.7803921568627451,0.37254901960784315,0.1450980392156863,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17647058823529413,0.596078431372549,0.9176470588235294,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9803921568627451,0.8274509803921568,0.592156862745098,2.3529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1803921568627451,0.6,0.9411764705882353,0.996078431372549,0.996078431372549,0.8901960784313725,0.6509803921568628,0.5215686274509804,0.984313725490196,0.7843137254901961,0.996078431372549,0.8980392156862745,0.8823529411764706,0.40784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6,0.9176470588235294,0.996078431372549,0.996078431372549,0.7333333333333333,0.5568627450980392,3.137254901960784e-2,0.0,0.0,0.7490196078431373,0.1568627450980392,0.7764705882352941,0.9647058823529412,0.8745098039215686,0.9921568627450981,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.49411764705882355,0.9921568627450981,0.996078431372549,0.9137254901960784,0.5019607843137255,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.8235294117647058,0.16862745098039217,0.27450980392156865,0.996078431372549,0.996078431372549,0.996078431372549,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2823529411764706,0.9529411764705882,0.996078431372549,0.8941176470588236,0.21176470588235294,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.12549019607843137,0.4549019607843137,0.8823529411764706,0.9490196078431372,0.996078431372549,1.0,0.6352941176470588,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.29411764705882354,0.9411764705882353,0.996078431372549,0.8745098039215686,0.42745098039215684,0.5411764705882353,0.6980392156862745,0.6980392156862745,0.6627450980392157,0.8235294117647058,0.984313725490196,0.9058823529411765,0.996078431372549,0.996078431372549,0.996078431372549,0.9098039215686274,0.14901960784313725,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.6862745098039216,0.9568627450980393,0.9921568627450981,1.0,0.996078431372549,0.996078431372549,0.984313725490196,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9882352941176471,0.6705882352941176,9.803921568627451e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,0.5333333333333333,0.7647058823529411,0.6901960784313725,0.5725490196078431,0.6,0.7843137254901961,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.5882352941176471,6.274509803921569e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6352941176470588,0.996078431372549,0.996078431372549,0.9450980392156862,0.38823529411764707,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4627450980392157,0.9803921568627451,0.996078431372549,0.996078431372549,0.35294117647058826,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.39215686274509803,0.9490196078431372,0.996078431372549,0.996078431372549,0.8274509803921568,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.21176470588235294,0.9450980392156862,0.996078431372549,0.996078431372549,0.9490196078431372,0.23137254901960785,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5137254901960784,0.996078431372549,0.996078431372549,0.9568627450980393,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.9764705882352941,0.996078431372549,0.996078431372549,0.596078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.7058823529411764e-2,0.8941176470588236,0.996078431372549,0.996078431372549,0.8156862745098039,3.137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3058823529411765,1.0,0.996078431372549,0.996078431372549,0.25882352941176473,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8196078431372549,0.996078431372549,0.996078431372549,0.5372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8901960784313725,1.0,0.9137254901960784,9.803921568627451e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.44313725490196076,1.0,0.4235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23921568627450981,1.1764705882352941e-2,0.16470588235294117,0.4627450980392157,0.7568627450980392,0.4627450980392157,0.4627450980392157,0.23921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.7019607843137254,0.9607843137254902,0.9254901960784314,0.9490196078431372,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9607843137254902,0.9215686274509803,0.32941176470588235,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.592156862745098,0.996078431372549,0.996078431372549,0.996078431372549,0.8352941176470589,0.7529411764705882,0.6980392156862745,0.6980392156862745,0.7058823529411765,0.996078431372549,0.996078431372549,0.9450980392156862,0.1803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.9215686274509803,0.996078431372549,0.8862745098039215,0.25098039215686274,0.10980392156862745,4.7058823529411764e-2,0.0,0.0,7.84313725490196e-3,0.5019607843137255,0.9882352941176471,1.0,0.6784313725490196,6.666666666666667e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2196078431372549,0.996078431372549,0.9921568627450981,0.4196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5254901960784314,0.9803921568627451,0.996078431372549,0.29411764705882354,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.24705882352941178,0.996078431372549,0.6196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8666666666666667,0.996078431372549,0.615686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7607843137254902,0.996078431372549,0.403921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5882352941176471,0.996078431372549,0.8352941176470589,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13333333333333333,0.8627450980392157,0.9372549019607843,0.22745098039215686,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.32941176470588235,0.996078431372549,0.8352941176470589,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.49411764705882355,0.996078431372549,0.6705882352941176,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.32941176470588235,0.996078431372549,0.8352941176470589,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8392156862745098,0.9372549019607843,0.23529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.32941176470588235,0.996078431372549,0.8352941176470589,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8392156862745098,0.7803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.32941176470588235,0.996078431372549,0.8352941176470589,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.8588235294117647,0.7803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.32941176470588235,0.996078431372549,0.8352941176470589,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3843137254901961,0.996078431372549,0.7803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6352941176470588,0.996078431372549,0.8196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3843137254901961,0.996078431372549,0.7803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.9333333333333333,0.996078431372549,0.29411764705882354,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3843137254901961,0.996078431372549,0.7803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.6470588235294118,0.996078431372549,0.7647058823529411,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25882352941176473,0.9450980392156862,0.7803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.6549019607843137,0.996078431372549,0.8901960784313725,0.21568627450980393,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8392156862745098,0.8352941176470589,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.1803921568627451,0.596078431372549,0.792156862745098,0.996078431372549,0.996078431372549,0.24705882352941178,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8392156862745098,0.996078431372549,0.8,0.7058823529411765,0.7058823529411765,0.7058823529411765,0.7058823529411765,0.7058823529411765,0.9215686274509803,0.996078431372549,0.996078431372549,0.9176470588235294,0.611764705882353,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3176470588235294,0.803921568627451,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9882352941176471,0.9176470588235294,0.47058823529411764,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10196078431372549,0.8235294117647058,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.6,0.40784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.8,0.9921568627450981,0.6901960784313725,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.5882352941176471,0.9882352941176471,0.9882352941176471,0.49019607843137253,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4588235294117647,0.9882352941176471,0.7294117647058823,0.2196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5529411764705883,0.9882352941176471,0.4627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6039215686274509,0.9686274509803922,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10196078431372549,0.9921568627450981,0.7686274509803922,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5882352941176471,0.9921568627450981,0.7686274509803922,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.3333333333333333,0.3333333333333333,0.14901960784313725,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8823529411764706,0.9921568627450981,0.3764705882352941,0.0,0.0,0.0,0.0,0.0,0.592156862745098,0.8862745098039215,0.9529411764705882,0.9882352941176471,0.9882352941176471,0.9333333333333333,0.49019607843137253,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.8980392156862745,0.8862745098039215,0.0,0.0,0.0,1.568627450980392e-2,0.21176470588235294,0.8980392156862745,0.9921568627450981,1.0,0.9176470588235294,0.6862745098039216,0.8823529411764706,1.0,0.8941176470588236,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.43137254901960786,0.9882352941176471,0.5882352941176471,0.0,0.0,0.10196078431372549,0.5019607843137255,0.9882352941176471,0.9882352941176471,0.8901960784313725,0.5254901960784314,0.10980392156862745,0.0,0.0,0.6980392156862745,0.9882352941176471,0.2196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6235294117647059,0.9882352941176471,0.44313725490196076,0.0,0.0,0.5882352941176471,0.9921568627450981,0.9882352941176471,0.7294117647058823,0.16862745098039217,0.0,0.0,0.0,0.0,0.5529411764705883,0.9882352941176471,0.2196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7254901960784313,0.9882352941176471,0.44313725490196076,0.0,0.14901960784313725,0.9294117647058824,0.9921568627450981,0.592156862745098,2.3529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.5529411764705883,0.792156862745098,2.3529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7764705882352941,0.9921568627450981,0.4470588235294118,0.0,0.5764705882352941,0.9921568627450981,0.6392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6039215686274509,0.7725490196078432,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7725490196078432,0.9882352941176471,0.44313725490196076,0.0,0.6745098039215687,0.9882352941176471,0.7372549019607844,0.0,0.0,0.0,0.0,0.0,0.0,0.10196078431372549,0.9921568627450981,0.6705882352941176,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7725490196078432,0.9882352941176471,0.44313725490196076,0.0,7.450980392156863e-2,0.9058823529411765,0.9686274509803922,0.47843137254901963,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.7843137254901961,0.9568627450980393,0.2196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10196078431372549,0.8705882352941177,0.9882352941176471,0.44313725490196076,0.0,0.0,9.803921568627451e-2,0.796078431372549,0.9882352941176471,0.7568627450980392,5.0980392156862744e-2,0.0,0.2980392156862745,0.7843137254901961,0.9764705882352941,0.49019607843137253,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7254901960784313,0.9921568627450981,0.7019607843137254,3.92156862745098e-2,0.0,0.0,0.0,0.2980392156862745,0.13725490196078433,0.11372549019607843,0.6039215686274509,0.9921568627450981,0.9568627450980393,0.49019607843137253,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10980392156862745,0.8196078431372549,0.9921568627450981,0.7686274509803922,0.3215686274509804,0.2235294117647059,0.2235294117647059,0.5137254901960784,0.7725490196078432,0.9882352941176471,0.9921568627450981,0.8392156862745098,0.3176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.803921568627451e-2,0.8470588235294118,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.611764705882353,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,0.403921568627451,0.5450980392156862,0.9411764705882353,0.5490196078431373,0.5450980392156862,0.5450980392156862,0.1568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.19215686274509805,0.7058823529411765,0.9921568627450981,1.0,0.9921568627450981,0.6627450980392157,0.1411764705882353,4.3137254901960784e-2,0.2980392156862745,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.26666666666666666,0.8941176470588236,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.6274509803921569,0.7411764705882353,0.9921568627450981,0.3607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.21568627450980393,0.9882352941176471,0.9882352941176471,0.8901960784313725,0.30980392156862746,0.27058823529411763,0.27058823529411763,0.39215686274509803,0.35294117647058826,0.9254901960784314,0.9686274509803922,0.2627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.9137254901960784,0.9882352941176471,0.7254901960784313,0.19607843137254902,0.0,0.0,0.0,0.10196078431372549,0.796078431372549,0.9882352941176471,0.5294117647058824,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6588235294117647,0.9921568627450981,0.6980392156862745,0.1450980392156863,0.0,0.0,0.0,0.0,0.27450980392156865,0.9882352941176471,0.9882352941176471,0.24705882352941178,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6078431372549019,0.9921568627450981,0.9490196078431372,0.16470588235294117,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.7490196078431373,0.9921568627450981,0.7450980392156863,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8117647058823529,0.9882352941176471,0.9019607843137255,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.5333333333333333,0.9882352941176471,0.9882352941176471,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8117647058823529,0.9882352941176471,0.9019607843137255,0.0,0.0,0.0,0.12549019607843137,0.5411764705882353,0.9882352941176471,0.9882352941176471,0.8901960784313725,6.274509803921569e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6470588235294118,0.9882352941176471,0.9764705882352941,0.8117647058823529,0.8117647058823529,0.8117647058823529,0.8941176470588236,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.6274509803921569,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.7019607843137254,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.29411764705882354,0.6627450980392157,0.9882352941176471,0.2196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.4549019607843137,0.4549019607843137,0.2901960784313726,0.0,0.5843137254901961,0.9921568627450981,0.8431372549019608,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.6352941176470588,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.9921568627450981,0.9411764705882353,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.615686274509804,0.9921568627450981,0.6431372549019608,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.9411764705882353,0.9921568627450981,0.3607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.36470588235294116,0.9921568627450981,0.9882352941176471,0.32941176470588235,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4470588235294118,0.9882352941176471,0.8196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8117647058823529,0.9882352941176471,0.4549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6470588235294118,0.9882352941176471,0.4549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.36470588235294116,0.7843137254901961,0.24705882352941178,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.25882352941176473,0.5411764705882353,1.0,0.9921568627450981,0.6627450980392157,0.5411764705882353,9.019607843137255e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.47058823529411764,0.8941176470588236,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.6196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4235294117647059,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.7450980392156863,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.9137254901960784,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.4549019607843137,1.96078431372549e-2,0.5294117647058824,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.6980392156862745,0.9921568627450981,0.9882352941176471,0.8666666666666667,0.16862745098039217,7.84313725490196e-3,0.0,1.96078431372549e-2,0.21176470588235294,0.9098039215686274,0.9882352941176471,0.8235294117647058,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.36470588235294116,0.9921568627450981,1.0,0.9764705882352941,0.45098039215686275,0.0,0.0,0.0,0.0,0.0,0.5333333333333333,0.984313725490196,1.0,0.6039215686274509,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6509803921568628,0.9882352941176471,0.9921568627450981,0.7254901960784313,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8196078431372549,0.9921568627450981,0.807843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.8627450980392157,0.9882352941176471,0.9921568627450981,0.3607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4549019607843137,0.9921568627450981,0.807843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.27450980392156865,0.9882352941176471,0.9882352941176471,0.7529411764705882,6.666666666666667e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4549019607843137,0.9921568627450981,0.8745098039215686,9.803921568627451e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.47843137254901963,0.9882352941176471,0.9882352941176471,0.24705882352941178,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4549019607843137,0.9921568627450981,0.9882352941176471,0.27058823529411763,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5176470588235295,0.9921568627450981,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4549019607843137,1.0,0.9921568627450981,0.27058823529411763,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7215686274509804,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4549019607843137,0.9921568627450981,0.9882352941176471,0.27058823529411763,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7215686274509804,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4549019607843137,0.9921568627450981,0.9411764705882353,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7215686274509804,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8235294117647058,0.9921568627450981,0.4392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.18823529411764706,0.9098039215686274,0.9882352941176471,0.6196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9019607843137255,0.9098039215686274,3.137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.36470588235294116,0.9921568627450981,0.9568627450980393,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.6078431372549019,0.9921568627450981,0.6588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13333333333333333,0.6431372549019608,0.9921568627450981,0.44313725490196076,0.0,0.0,0.0,0.0,0.0,0.25882352941176473,0.9254901960784314,0.9058823529411765,0.16470588235294117,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.8705882352941177,0.9411764705882353,0.5254901960784314,0.0,0.0,0.14901960784313725,0.3568627450980392,0.9176470588235294,0.9882352941176471,0.5372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.803921568627451e-2,0.6941176470588235,0.9411764705882353,0.8117647058823529,0.403921568627451,0.9137254901960784,0.9882352941176471,0.9882352941176471,0.6901960784313725,0.13725490196078433,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.8823529411764705e-2,0.21176470588235294,0.7019607843137254,0.9882352941176471,0.5372549019607843,0.5372549019607843,0.21176470588235294,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,1.0,0.7490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7490196078431373,1.0,1.0,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7490196078431373,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7490196078431373,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,1.0,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7490196078431373,1.0,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,1.0,1.0,1.0,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.5176470588235295,0.8392156862745098,0.9921568627450981,0.996078431372549,0.9921568627450981,0.796078431372549,0.6352941176470588,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4,0.5568627450980392,0.796078431372549,0.796078431372549,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.592156862745098,0.27450980392156865,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.9568627450980393,0.796078431372549,0.5568627450980392,0.4,0.3215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6745098039215687,0.9882352941176471,0.796078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.8745098039215686,0.9176470588235294,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.47843137254901963,0.9921568627450981,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4823529411764706,0.996078431372549,0.3568627450980392,0.2,0.2,0.2,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.8745098039215686,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.6745098039215687,0.3215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.8392156862745098,0.9921568627450981,0.796078431372549,0.6352941176470588,0.4,0.4,0.796078431372549,0.8745098039215686,0.996078431372549,0.9921568627450981,0.2,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23921568627450981,0.9921568627450981,0.6705882352941176,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.4392156862745098,0.7529411764705882,0.9921568627450981,0.8313725490196079,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4,0.796078431372549,0.9176470588235294,0.2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.8352941176470589,0.9098039215686274,0.3215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.24313725490196078,0.796078431372549,0.9176470588235294,0.4392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.8352941176470589,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.9137254901960784,0.8313725490196079,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.44313725490196076,0.3607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12156862745098039,0.6784313725490196,0.9568627450980393,0.1568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3215686274509804,0.9921568627450981,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.4,0.4,0.7176470588235294,0.9137254901960784,0.8313725490196079,0.3176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3215686274509804,1.0,0.9921568627450981,0.9176470588235294,0.596078431372549,0.6,0.7568627450980392,0.6784313725490196,0.9921568627450981,0.996078431372549,0.9921568627450981,0.996078431372549,0.8352941176470589,0.5568627450980392,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2784313725490196,0.592156862745098,0.592156862745098,0.9098039215686274,0.9921568627450981,0.8313725490196079,0.7529411764705882,0.592156862745098,0.5137254901960784,0.19607843137254902,0.19607843137254902,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.5725490196078431,0.8980392156862745,1.0,0.803921568627451,0.47058823529411764,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.411764705882353e-2,0.7764705882352941,0.9882352941176471,0.9921568627450981,0.8823529411764706,0.8470588235294118,0.9215686274509803,0.9882352941176471,0.34901960784313724,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.803921568627451,0.9921568627450981,0.8745098039215686,0.27450980392156865,5.8823529411764705e-2,0.0,0.11372549019607843,0.807843137254902,0.6823529411764706,7.84313725490196e-3,0.3411764705882353,0.14901960784313725,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5372549019607843,0.9921568627450981,0.8901960784313725,2.3529411764705882e-2,0.0,0.0,0.0,0.0,0.13725490196078433,0.10980392156862745,0.2980392156862745,0.9921568627450981,0.9921568627450981,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34509803921568627,0.984313725490196,0.9215686274509803,4.7058823529411764e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.16470588235294117,0.9333333333333333,0.9921568627450981,0.6823529411764706,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5254901960784314,0.9921568627450981,0.7529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.9333333333333333,0.9921568627450981,0.6313725490196078,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6627450980392157,0.9921568627450981,0.2901960784313726,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3333333333333333,0.9686274509803922,0.9921568627450981,0.29411764705882354,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.9803921568627451,0.9921568627450981,0.1843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.8588235294117647,0.9921568627450981,0.9450980392156862,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.9921568627450981,0.9921568627450981,0.1843137254901961,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.2823529411764706,0.9921568627450981,0.9921568627450981,0.5607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.8666666666666667,0.9921568627450981,0.4588235294117647,0.0,0.0,0.0,0.0,9.803921568627451e-2,0.4627450980392157,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.1843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10980392156862745,0.9490196078431372,0.996078431372549,0.7333333333333333,0.40784313725490196,0.5725490196078431,0.6235294117647059,0.8627450980392157,0.9568627450980393,0.9372549019607843,0.996078431372549,0.8784313725490196,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3058823529411765,0.788235294117647,0.9921568627450981,0.9921568627450981,0.9725490196078431,0.8431372549019608,0.611764705882353,0.2627450980392157,0.9686274509803922,0.9921568627450981,0.615686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.2196078431372549,0.2196078431372549,0.19607843137254902,0.0,0.0,0.14901960784313725,0.9921568627450981,0.9921568627450981,0.2901960784313726,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25882352941176473,0.9921568627450981,0.9921568627450981,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5843137254901961,0.9921568627450981,0.9921568627450981,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11764705882352941,0.9333333333333333,0.9921568627450981,0.7490196078431373,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25882352941176473,0.9921568627450981,0.9921568627450981,0.4392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3411764705882353,0.9921568627450981,0.9568627450980393,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6666666666666666,0.9921568627450981,0.7764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.5843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2901960784313726,0.9764705882352941,0.996078431372549,0.996078431372549,0.996078431372549,0.9607843137254902,0.6549019607843137,0.6549019607843137,0.5333333333333333,9.803921568627451e-2,0.3137254901960784,0.23529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.40784313725490196,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9764705882352941,0.996078431372549,0.9882352941176471,0.7725490196078432,0.44313725490196076,0.2784313725490196,0.15294117647058825,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.38823529411764707,0.5294117647058824,0.4117647058823529,0.4117647058823529,0.4470588235294118,0.7529411764705882,0.7529411764705882,0.7529411764705882,0.9137254901960784,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9647058823529412,0.5058823529411764,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17647058823529413,0.4470588235294118,0.4470588235294118,0.796078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9411764705882353,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.13725490196078433,0.6078431372549019,0.996078431372549,0.996078431372549,0.5098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1411764705882353,0.996078431372549,0.9450980392156862,0.13333333333333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.45098039215686275,0.996078431372549,0.996078431372549,0.4627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13333333333333333,0.9529411764705882,0.996078431372549,0.9411764705882353,6.666666666666667e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.43529411764705883,0.996078431372549,0.996078431372549,0.5450980392156862,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.9529411764705882,0.996078431372549,0.9568627450980393,0.1568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.6901960784313725,0.996078431372549,0.996078431372549,0.44313725490196076,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5490196078431373,0.996078431372549,0.996078431372549,0.8627450980392157,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34509803921568627,0.9921568627450981,0.996078431372549,0.9529411764705882,0.17647058823529413,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.24705882352941178,0.9450980392156862,0.996078431372549,0.996078431372549,0.3254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,0.9529411764705882,0.996078431372549,0.996078431372549,0.5764705882352941,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.43529411764705883,0.996078431372549,0.996078431372549,0.796078431372549,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.22745098039215686,0.996078431372549,0.996078431372549,0.996078431372549,0.32941176470588235,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.9294117647058824,0.996078431372549,1.0,0.7607843137254902,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3215686274509804,0.996078431372549,0.996078431372549,0.7607843137254902,0.10588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.15294117647058825,0.9019607843137255,0.7568627450980392,0.10980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.7058823529411764e-2,0.1607843137254902,0.5725490196078431,0.5725490196078431,0.18823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.7058823529411764e-2,0.5058823529411764,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9803921568627451,0.6392156862745098,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5215686274509804,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8980392156862745,0.27450980392156865,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.396078431372549,0.9921568627450981,0.9882352941176471,0.5686274509803921,0.4,0.4196078431372549,0.9294117647058824,0.9921568627450981,0.9686274509803922,0.5019607843137255,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7098039215686275,0.9921568627450981,0.6549019607843137,0.0,0.0,0.0,0.23921568627450981,0.9215686274509803,0.9921568627450981,0.9921568627450981,0.6392156862745098,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.9921568627450981,0.16862745098039217,0.0,0.0,0.0,0.0,0.22745098039215686,0.7568627450980392,0.9921568627450981,0.9921568627450981,0.6431372549019608,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7333333333333333,0.9921568627450981,0.12549019607843137,0.0,0.0,0.0,0.0,0.0,0.21568627450980393,0.9254901960784314,0.9921568627450981,0.9921568627450981,0.33725490196078434,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5725490196078431,0.9921568627450981,0.12549019607843137,0.0,0.39215686274509803,0.7450980392156863,0.3411764705882353,0.3411764705882353,0.3411764705882353,0.5764705882352941,0.9921568627450981,0.9921568627450981,0.4823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3686274509803922,0.9921568627450981,0.3058823529411765,0.1568627450980392,0.9725490196078431,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8745098039215686,0.32941176470588235,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.3607843137254902,4.7058823529411764e-2,0.13725490196078433,0.9411764705882353,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9568627450980393,0.34901960784313724,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.29411764705882354,0.6313725490196078,0.7019607843137254,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8196078431372549,0.16862745098039217,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,6.274509803921569e-2,6.274509803921569e-2,0.15294117647058825,0.14901960784313725,6.274509803921569e-2,6.274509803921569e-2,0.5686274509803921,0.9529411764705882,0.9921568627450981,0.9921568627450981,0.7254901960784313,0.18823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.22745098039215686,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.22745098039215686,0.8196078431372549,0.9921568627450981,0.9921568627450981,0.7176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30196078431372547,0.8666666666666667,0.9686274509803922,0.30980392156862746,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.8588235294117647,0.9921568627450981,0.9411764705882353,0.2823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.35294117647058826,0.9686274509803922,0.9921568627450981,0.9882352941176471,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.20784313725490197,0.984313725490196,0.9921568627450981,0.7490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4549019607843137,0.9921568627450981,0.9921568627450981,0.23137254901960785,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.38823529411764707,0.9882352941176471,0.9921568627450981,0.5686274509803921,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.7372549019607844,0.9921568627450981,0.8666666666666667,0.6196078431372549,0.14901960784313725,0.0,0.0,0.0,0.0,0.43529411764705883,0.8274509803921568,0.9647058823529412,0.9921568627450981,0.9921568627450981,0.5686274509803921,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.7058823529411764e-2,0.8666666666666667,0.9647058823529412,0.9921568627450981,0.984313725490196,0.9764705882352941,0.9764705882352941,0.9764705882352941,0.9764705882352941,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7843137254901961,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.37254901960784315,0.7176470588235294,0.8941176470588236,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7647058823529411,0.48627450980392156,9.019607843137255e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.411764705882353e-2,0.1450980392156863,0.5411764705882353,0.2901960784313726,0.49411764705882355,0.34509803921568627,0.1450980392156863,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6588235294117647,0.3568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.9176470588235294,0.49411764705882355,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.996078431372549,0.49411764705882355,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.14901960784313725,0.6980392156862745,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.2,0.996078431372549,0.3176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3686274509803922,0.996078431372549,0.3254901960784314,0.0,0.0,0.0,0.0,0.0,0.3411764705882353,0.996078431372549,0.21176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6274509803921569,0.996078431372549,0.2196078431372549,0.0,0.0,0.0,0.0,0.0,0.7411764705882353,0.9333333333333333,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.8901960784313725,0.6588235294117647,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.7607843137254902,0.9254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.21568627450980393,0.996078431372549,0.4470588235294118,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,0.9215686274509803,0.6549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.45098039215686275,0.996078431372549,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.403921568627451,0.996078431372549,0.4117647058823529,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.8666666666666667,0.9254901960784314,0.29411764705882354,0.611764705882353,0.7058823529411765,0.7450980392156863,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.996078431372549,0.4470588235294118,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.8823529411764705e-2,0.996078431372549,0.996078431372549,0.996078431372549,0.9882352941176471,0.8274509803921568,0.7019607843137254,0.7019607843137254,0.7019607843137254,0.9647058823529412,0.996078431372549,0.9686274509803922,0.3686274509803922,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.8509803921568627,0.9372549019607843,0.4588235294117647,8.627450980392157e-2,0.0,0.0,0.0,0.0,0.8862745098039215,0.996078431372549,0.9490196078431372,0.7725490196078432,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.10588235294117647,0.9529411764705882,0.8117647058823529,0.1803921568627451,0.1450980392156863,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.38823529411764707,0.996078431372549,0.5176470588235295,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4549019607843137,0.996078431372549,0.2627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4549019607843137,0.996078431372549,0.23921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4549019607843137,0.996078431372549,0.23921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6823529411764706,1.0,0.39215686274509803,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7333333333333333,0.996078431372549,0.3254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.45098039215686275,0.6901960784313725,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12156862745098039,0.5490196078431373,0.7568627450980392,0.17254901960784313,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.14901960784313725,0.5725490196078431,0.9411764705882353,0.996078431372549,0.996078431372549,0.8941176470588236,0.18823529411764706,0.30196078431372547,0.1803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.16862745098039217,0.9019607843137255,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9450980392156862,0.996078431372549,0.7725490196078432,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.5098039215686274,0.996078431372549,0.996078431372549,0.996078431372549,0.9372549019607843,0.9882352941176471,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9294117647058824,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6039215686274509,0.996078431372549,0.996078431372549,0.9764705882352941,0.40784313725490196,0.2784313725490196,0.7764705882352941,0.996078431372549,0.996078431372549,0.996078431372549,0.9176470588235294,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.6784313725490196,0.9882352941176471,0.9882352941176471,0.807843137254902,0.2,0.47058823529411764,0.8431372549019608,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.7215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4392156862745098,0.996078431372549,0.996078431372549,0.8431372549019608,0.3411764705882353,0.9686274509803922,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.8509803921568627,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.9058823529411765,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9254901960784314,0.5019607843137255,0.7686274509803922,0.996078431372549,0.996078431372549,0.4666666666666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.7725490196078432,0.996078431372549,0.996078431372549,0.9607843137254902,0.9333333333333333,0.5137254901960784,6.666666666666667e-2,0.1803921568627451,0.9686274509803922,0.996078431372549,0.7803921568627451,5.4901960784313725e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,0.3607843137254902,0.34509803921568627,0.1568627450980392,0.0,0.0,4.7058823529411764e-2,0.6784313725490196,0.996078431372549,0.9490196078431372,0.14901960784313725,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.37254901960784315,0.996078431372549,0.996078431372549,0.6078431372549019,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.058823529411765e-2,0.8235294117647058,0.996078431372549,0.8823529411764706,2.3529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7725490196078432,0.996078431372549,0.996078431372549,0.38823529411764707,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13333333333333333,0.9490196078431372,0.996078431372549,0.7019607843137254,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10588235294117647,0.8745098039215686,0.996078431372549,0.8823529411764706,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30196078431372547,0.996078431372549,1.0,0.4980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.21176470588235294,0.9333333333333333,0.996078431372549,0.9725490196078431,0.20784313725490197,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.7176470588235294,0.996078431372549,0.996078431372549,0.9058823529411765,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.44313725490196076,0.996078431372549,0.996078431372549,0.9019607843137255,0.18823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.43137254901960786,0.9372549019607843,0.49411764705882355,9.803921568627451e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.19215686274509805,0.7058823529411765,0.9921568627450981,0.9568627450980393,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7215686274509804,0.9882352941176471,0.9882352941176471,0.9098039215686274,0.6431372549019608,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25882352941176473,0.9176470588235294,0.9882352941176471,0.5333333333333333,0.14901960784313725,0.2196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.9254901960784314,0.9882352941176471,0.6901960784313725,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2980392156862745,0.9882352941176471,0.9882352941176471,0.2196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5450980392156862,0.9921568627450981,0.6784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.8313725490196079,0.9882352941176471,0.27058823529411763,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4549019607843137,0.9921568627450981,0.9411764705882353,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.615686274509804,0.9921568627450981,0.807843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9019607843137255,0.9921568627450981,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9058823529411765,1.0,0.7058823529411765,0.5411764705882353,0.7058823529411765,0.9921568627450981,1.0,0.9921568627450981,0.8705882352941177,0.3803921568627451,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9019607843137255,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.8274509803921568,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.4588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9019607843137255,0.9921568627450981,0.9411764705882353,0.7176470588235294,0.34901960784313724,0.27058823529411763,2.7450980392156862e-2,0.27058823529411763,0.6705882352941176,0.9882352941176471,0.9882352941176471,0.3333333333333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5294117647058824,0.9921568627450981,0.6,0.0,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.8431372549019608,0.9882352941176471,0.4549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4549019607843137,0.9921568627450981,0.807843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.6078431372549019,0.9882352941176471,0.4549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.41568627450980394,1.0,0.8274509803921568,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.19215686274509805,0.9137254901960784,0.9921568627450981,0.4549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6235294117647059,0.9882352941176471,0.6039215686274509,3.529411764705882e-2,0.0,0.0,0.11764705882352941,0.7725490196078432,0.9882352941176471,0.9882352941176471,0.37254901960784315,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.8901960784313725,0.9882352941176471,0.6039215686274509,0.27450980392156865,0.3176470588235294,0.8941176470588236,0.9882352941176471,0.8901960784313725,0.5098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.19607843137254902,0.8901960784313725,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.7254901960784313,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.18823529411764706,0.7019607843137254,0.9882352941176471,0.7450980392156863,0.4588235294117647,2.3529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4470588235294118,1.0,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8862745098039215,1.0,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11372549019607843,1.0,0.4470588235294118,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4470588235294118,1.0,0.33725490196078434,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7764705882352941,1.0,0.11372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11372549019607843,1.0,0.8862745098039215,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5529411764705883,1.0,0.5529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.33725490196078434,0.33725490196078434,0.5529411764705883,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6666666666666666,1.0,0.33725490196078434,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.8862745098039215,1.0,1.0,1.0,1.0,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6666666666666666,1.0,0.33725490196078434,0.0,0.0,0.0,0.0,0.0,0.6666666666666666,1.0,1.0,0.4470588235294118,0.2235294117647059,0.8862745098039215,0.7764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6666666666666666,1.0,0.33725490196078434,0.0,0.0,0.0,0.0,0.2235294117647059,1.0,1.0,0.33725490196078434,0.0,0.0,0.6666666666666666,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6666666666666666,1.0,0.33725490196078434,0.0,0.0,0.0,0.0,0.6666666666666666,1.0,0.33725490196078434,0.0,0.0,0.0,0.6666666666666666,1.0,0.33725490196078434,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5529411764705883,1.0,0.4470588235294118,0.0,0.0,0.0,0.11372549019607843,1.0,0.7764705882352941,0.0,0.0,0.0,0.0,0.6666666666666666,1.0,0.33725490196078434,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11372549019607843,1.0,1.0,0.0,0.0,0.0,0.6666666666666666,1.0,0.4470588235294118,0.0,0.0,0.0,0.0,0.7764705882352941,0.8862745098039215,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7764705882352941,1.0,0.4470588235294118,0.0,0.0,0.6666666666666666,1.0,0.33725490196078434,0.0,0.0,0.0,0.33725490196078434,1.0,0.4470588235294118,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.33725490196078434,1.0,1.0,0.6666666666666666,0.2235294117647059,1.0,1.0,0.11372549019607843,0.0,0.0,0.33725490196078434,0.8862745098039215,0.8862745098039215,0.11372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4470588235294118,0.8862745098039215,1.0,1.0,1.0,1.0,0.33725490196078434,0.33725490196078434,0.6666666666666666,1.0,1.0,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11372549019607843,0.5529411764705883,1.0,1.0,1.0,1.0,1.0,1.0,0.7764705882352941,0.11372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8862745098039215,1.0,1.0,0.5529411764705883,0.33725490196078434,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5529411764705883,1.0,1.0,0.6666666666666666,0.6666666666666666,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5529411764705883,0.8862745098039215,0.6666666666666666,0.4470588235294118,0.11372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.27058823529411763,0.596078431372549,0.9294117647058824,0.996078431372549,0.996078431372549,1.0,0.996078431372549,0.9882352941176471,0.20392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3411764705882353,0.6431372549019608,0.9294117647058824,0.9921568627450981,0.996078431372549,0.8549019607843137,0.5411764705882353,0.3254901960784314,0.15294117647058825,0.6039215686274509,0.996078431372549,0.5294117647058824,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5411764705882353,0.9647058823529412,0.9921568627450981,0.996078431372549,0.8470588235294118,0.6549019607843137,0.21176470588235294,1.96078431372549e-2,0.0,0.0,0.0,0.39215686274509803,0.7490196078431373,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9137254901960784,0.996078431372549,0.6627450980392157,0.20784313725490197,2.3529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.13725490196078433,3.137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6823529411764706,0.996078431372549,0.3686274509803922,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.14901960784313725,0.9607843137254902,0.8666666666666667,5.0980392156862744e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5568627450980392,0.996078431372549,0.5843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.592156862745098,0.996078431372549,0.4392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8862745098039215,0.9490196078431372,0.12549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.7058823529411764e-2,0.9411764705882353,0.796078431372549,0.17254901960784313,0.17254901960784313,0.17254901960784313,0.17254901960784313,3.137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.27450980392156865,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.803921568627451,0.3333333333333333,3.137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.7215686274509804,0.6627450980392157,0.5215686274509804,0.5215686274509804,0.6352941176470588,0.8313725490196079,0.996078431372549,0.996078431372549,0.6509803921568628,3.137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.2,0.6941176470588235,0.996078431372549,0.49019607843137253,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10588235294117647,0.8196078431372549,0.996078431372549,0.40784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.24705882352941178,0.8196078431372549,0.996078431372549,0.7607843137254902,5.0980392156862744e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.0,3.92156862745098e-2,0.5372549019607843,0.9568627450980393,0.996078431372549,0.7764705882352941,0.20392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.3411764705882353,0.47843137254901963,0.5764705882352941,0.8745098039215686,0.996078431372549,0.9686274509803922,0.4980392156862745,5.0980392156862744e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.4627450980392157,0.9803921568627451,0.8235294117647058,0.9725490196078431,0.996078431372549,0.9882352941176471,0.7803921568627451,0.19215686274509805,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5411764705882353,0.996078431372549,0.996078431372549,0.996078431372549,0.9803921568627451,0.788235294117647,0.2823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30980392156862746,0.6549019607843137,0.7725490196078432,0.3411764705882353,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7725490196078432,0.23529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.19607843137254902,0.9529411764705882,0.16470588235294117,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.7294117647058823,0.9254901960784314,8.235294117647059e-2,0.0,0.0,0.0,0.5254901960784314,0.3254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34509803921568627,0.8352941176470589,0.10196078431372549,0.0,0.0,0.0,0.0,0.5058823529411764,0.6666666666666666,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,0.47058823529411764,0.0,0.0,0.0,0.0,0.0,0.3568627450980392,0.8196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.9176470588235294,0.4392156862745098,0.0,0.0,0.0,0.0,0.0,0.3568627450980392,0.9490196078431372,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4549019607843137,0.8705882352941177,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.6666666666666666,0.9568627450980393,0.22745098039215686,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11764705882352941,0.9411764705882353,0.48627450980392156,0.0,0.0,0.0,0.0,0.0,0.1568627450980392,0.9764705882352941,0.5411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.4980392156862745,0.9450980392156862,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,5.8823529411764705e-2,0.9019607843137255,0.5254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,0.996078431372549,0.7019607843137254,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6470588235294118,0.5254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.7490196078431373,0.9137254901960784,0.5333333333333333,0.396078431372549,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.44313725490196076,0.8431372549019608,0.12156862745098039,0.12156862745098039,0.12156862745098039,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.34901960784313724,0.5019607843137255,0.7607843137254902,0.8549019607843137,0.8235294117647058,0.8235294117647058,0.8274509803921568,0.8235294117647058,0.8862745098039215,0.996078431372549,0.996078431372549,0.8,0.47058823529411764,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,5.8823529411764705e-2,0.1450980392156863,0.35294117647058826,0.35294117647058826,0.7686274509803922,0.9450980392156862,0.13333333333333333,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6470588235294118,0.9137254901960784,6.274509803921569e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6470588235294118,0.5607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3568627450980392,0.7372549019607844,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3568627450980392,0.9137254901960784,0.13333333333333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.996078431372549,0.23921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.8196078431372549,0.8588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4196078431372549,0.6509803921568628,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.3137254901960784,0.7647058823529411,0.3333333333333333,0.3137254901960784,0.3137254901960784,0.3137254901960784,5.4901960784313725e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.596078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.24313725490196078,0.2196078431372549,0.0,3.529411764705882e-2,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.984313725490196,0.9294117647058824,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5529411764705883,0.9921568627450981,0.9450980392156862,0.3254901960784314,1.568627450980392e-2,0.6313725490196078,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.23529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.5529411764705883,0.9725490196078431,0.9921568627450981,0.9921568627450981,0.5764705882352941,0.0,0.28627450980392155,0.8196078431372549,0.9882352941176471,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8313725490196079,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5764705882352941,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7803921568627451,0.13333333333333333,0.0,0.0,0.6274509803921569,0.9921568627450981,0.5568627450980392,0.7607843137254902,0.9921568627450981,0.9921568627450981,0.9568627450980393,0.30196078431372547,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.5333333333333333,0.9803921568627451,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.27058823529411763,0.0,0.0,5.8823529411764705e-2,0.20392156862745098,1.96078431372549e-2,0.10588235294117647,0.788235294117647,0.9921568627450981,0.9921568627450981,0.611764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3137254901960784,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8196078431372549,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.1411764705882353,0.9921568627450981,0.9921568627450981,0.7686274509803922,0.12941176470588237,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.33725490196078434,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9176470588235294,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16470588235294117,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.3058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6470588235294118,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8274509803921568,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.3058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6745098039215687,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8274509803921568,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.3058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8235294117647058,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.16470588235294117,0.8980392156862745,0.9647058823529412,0.9882352941176471,0.9921568627450981,0.9921568627450981,0.6235294117647059,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8196078431372549,0.0,0.0,0.0,0.0,0.0,0.38823529411764707,0.5843137254901961,0.8235294117647058,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9490196078431372,0.2549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8549019607843137,0.20784313725490197,0.20784313725490197,0.20784313725490197,0.7058823529411765,0.8941176470588236,0.9568627450980393,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.30196078431372547,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6392156862745098,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7568627450980392,0.11372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3137254901960784,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9176470588235294,0.7568627450980392,9.411764705882353e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17254901960784313,0.8235294117647058,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8980392156862745,0.2627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.14901960784313725,0.8941176470588236,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9725490196078431,0.9215686274509803,0.2549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.15294117647058825,0.8235294117647058,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7411764705882353,0.4470588235294118,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.4235294117647059,0.9921568627450981,0.9921568627450981,0.7019607843137254,0.3058823529411765,0.3058823529411765,0.10588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.0,0.0,0.0,4.3137254901960784e-2,0.3607843137254902,0.6784313725490196,0.9921568627450981,0.996078431372549,0.9921568627450981,0.996078431372549,0.9921568627450981,0.24313725490196078,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5568627450980392,0.0,8.235294117647059e-2,0.4,0.8352941176470589,0.9882352941176471,0.9137254901960784,0.592156862745098,0.5137254901960784,0.5137254901960784,0.9921568627450981,0.9882352941176471,0.5568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6392156862745098,0.596078431372549,0.596078431372549,0.8392156862745098,0.9137254901960784,0.7176470588235294,0.4,0.0,0.0,0.0,0.0,0.5176470588235295,0.9921568627450981,1.0,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3215686274509804,0.9529411764705882,0.9921568627450981,0.9882352941176471,0.5137254901960784,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.8313725490196079,0.9921568627450981,0.5137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4823529411764706,0.796078431372549,0.4,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.796078431372549,1.0,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6352941176470588,0.9921568627450981,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4,0.996078431372549,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4,0.9921568627450981,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6392156862745098,0.996078431372549,0.3568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.796078431372549,0.9921568627450981,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.796078431372549,0.796078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.8745098039215686,0.47843137254901963,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2823529411764706,0.9921568627450981,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9137254901960784,0.9882352941176471,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.9921568627450981,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4823529411764706,0.996078431372549,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.8745098039215686,0.9137254901960784,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.9921568627450981,0.7176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.9882352941176471,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8666666666666667,0.45098039215686275,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.996078431372549,0.5803921568627451,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.9019607843137255,0.5254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6588235294117647,0.996078431372549,0.45098039215686275,0.0,0.0,0.0,0.0,9.411764705882353e-2,0.9921568627450981,0.7215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.9176470588235294,0.996078431372549,0.3176470588235294,0.0,0.0,0.0,0.0,0.3568627450980392,0.9921568627450981,0.7215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.8666666666666667,0.996078431372549,0.6274509803921569,0.0,0.0,0.0,0.0,0.0,0.5529411764705883,0.996078431372549,0.4980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4470588235294118,0.9921568627450981,0.9921568627450981,0.2980392156862745,0.0,0.0,0.0,0.0,0.0,0.8117647058823529,0.9921568627450981,0.36470588235294116,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.8823529411764705e-2,0.9098039215686274,0.9921568627450981,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.8117647058823529,0.9921568627450981,6.666666666666667e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8980392156862745,0.9921568627450981,0.792156862745098,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.13333333333333333,0.9411764705882353,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.6666666666666666,0.996078431372549,0.996078431372549,0.1803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.1843137254901961,0.996078431372549,0.996078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.411764705882353e-2,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9176470588235294,0.6392156862745098,0.1843137254901961,0.1843137254901961,0.10196078431372549,0.0,0.0,0.5098039215686274,0.9921568627450981,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.9647058823529412,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9098039215686274,0.6823529411764706,0.8156862745098039,0.9098039215686274,0.9921568627450981,0.6941176470588235,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.32941176470588235,0.6313725490196078,0.8274509803921568,0.8588235294117647,0.8588235294117647,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9568627450980393,0.27058823529411763,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.36470588235294116,0.5568627450980392,0.5568627450980392,0.36470588235294116,0.6666666666666666,0.996078431372549,0.9019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6,0.9921568627450981,0.8352941176470589,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6666666666666666,0.9921568627450981,0.5372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8627450980392157,0.9921568627450981,0.5372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23529411764705882,1.0,0.996078431372549,0.3137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.36470588235294116,0.996078431372549,0.9921568627450981,0.1803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.996078431372549,0.8431372549019608,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7294117647058823,0.41568627450980394,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,1.0,0.996078431372549,1.0,0.996078431372549,0.996078431372549,0.996078431372549,0.615686274509804,0.5098039215686274,0.34509803921568627,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.4235294117647059,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.5058823529411764,0.9333333333333333,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2196078431372549,0.9921568627450981,0.9725490196078431,0.6549019607843137,0.9215686274509803,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.40784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.6980392156862745,0.9921568627450981,0.7137254901960784,0.0,0.10588235294117647,0.5254901960784314,0.9686274509803922,0.9921568627450981,0.9921568627450981,0.8431372549019608,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.5098039215686274,0.9921568627450981,0.8705882352941177,0.10588235294117647,0.0,0.0,0.0,0.7294117647058823,0.9921568627450981,0.9921568627450981,0.9921568627450981,9.411764705882353e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.9921568627450981,0.9921568627450981,0.47843137254901963,0.0,0.0,0.0,0.0,0.2627450980392157,0.9647058823529412,0.9921568627450981,0.9921568627450981,0.41568627450980394,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4588235294117647,0.9921568627450981,0.7803921568627451,9.803921568627451e-2,0.0,0.0,0.0,0.0,0.0,0.7333333333333333,0.9921568627450981,0.9921568627450981,0.5803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1803921568627451,0.8823529411764706,0.9607843137254902,0.2627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.34509803921568627,0.9921568627450981,0.9921568627450981,0.5803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5843137254901961,0.9921568627450981,0.7254901960784313,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34509803921568627,0.9921568627450981,0.9921568627450981,0.5803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.8823529411764705e-2,0.8941176470588236,0.9921568627450981,0.36470588235294116,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34509803921568627,0.9921568627450981,0.9921568627450981,0.5803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.9921568627450981,0.9921568627450981,0.36470588235294116,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34509803921568627,0.9921568627450981,0.9921568627450981,0.5803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.9921568627450981,0.9921568627450981,0.36470588235294116,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34509803921568627,0.9921568627450981,0.9921568627450981,0.42745098039215684,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.9921568627450981,0.9921568627450981,0.5254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34509803921568627,0.9921568627450981,0.8588235294117647,6.274509803921569e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.9921568627450981,0.9921568627450981,0.9019607843137255,0.12549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.5176470588235295,0.9921568627450981,0.6039215686274509,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9137254901960784,0.47058823529411764,0.0,0.2901960784313726,0.39215686274509803,0.39215686274509803,0.7843137254901961,0.9725490196078431,0.8509803921568627,0.12941176470588237,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.6235294117647059,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9764705882352941,0.9019607843137255,0.9686274509803922,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.42745098039215684,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.37254901960784315,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.4627450980392157,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.1607843137254902,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.4666666666666667,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,0.2,0.34509803921568627,0.8392156862745098,0.6470588235294118,0.38823529411764707,1.96078431372549e-2,1.96078431372549e-2,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8549019607843137,0.9921568627450981,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8509803921568627,0.9882352941176471,0.3607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7843137254901961,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30980392156862746,0.8,0.9803921568627451,9.411764705882353e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30980392156862746,0.9764705882352941,0.5843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.42745098039215684,0.9882352941176471,0.9450980392156862,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8117647058823529,0.9882352941176471,0.9450980392156862,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.49411764705882355,0.9882352941176471,0.9450980392156862,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6274509803921569,0.9882352941176471,0.9450980392156862,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8980392156862745,0.9882352941176471,0.9921568627450981,0.403921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.20784313725490197,0.7215686274509804,1.0,0.6705882352941176,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4745098039215686,0.9921568627450981,0.8941176470588236,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4745098039215686,0.9921568627450981,0.8941176470588236,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4745098039215686,0.9921568627450981,0.8941176470588236,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4745098039215686,0.9921568627450981,0.8941176470588236,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8352941176470589,0.9921568627450981,0.9215686274509803,0.10980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.788235294117647,0.9921568627450981,0.9882352941176471,0.3764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4745098039215686,0.9921568627450981,0.9882352941176471,0.3764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4745098039215686,0.9921568627450981,0.9882352941176471,0.3764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.7647058823529411,0.9450980392156862,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.44313725490196076,0.7568627450980392,0.996078431372549,0.9921568627450981,0.996078431372549,0.9921568627450981,0.996078431372549,0.6745098039215687,0.3215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7176470588235294,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9529411764705882,0.1568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.796078431372549,1.0,0.9137254901960784,0.7176470588235294,0.4,0.796078431372549,0.796078431372549,0.9176470588235294,0.9921568627450981,0.996078431372549,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3176470588235294,0.592156862745098,0.19607843137254902,0.0,0.0,0.0,0.1607843137254902,0.7568627450980392,0.9882352941176471,0.9921568627450981,0.43529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.8352941176470589,0.996078431372549,0.9921568627450981,0.796078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4823529411764706,0.8352941176470589,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.3176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.9921568627450981,0.996078431372549,0.9921568627450981,0.996078431372549,0.592156862745098,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.8313725490196079,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.9098039215686274,0.8745098039215686,0.47843137254901963,0.3215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4823529411764706,0.8745098039215686,0.996078431372549,0.9921568627450981,0.996078431372549,0.9921568627450981,0.996078431372549,0.2784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.19607843137254902,0.5137254901960784,0.8352941176470589,0.9882352941176471,0.9921568627450981,0.7529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.6352941176470588,0.996078431372549,0.9921568627450981,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.796078431372549,0.9921568627450981,0.9882352941176471,0.23921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5176470588235295,0.9921568627450981,0.996078431372549,0.3568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.5568627450980392,0.9921568627450981,0.9882352941176471,0.9137254901960784,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.8392156862745098,0.9921568627450981,0.996078431372549,0.8352941176470589,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6392156862745098,0.9529411764705882,0.9921568627450981,0.9882352941176471,0.6745098039215687,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.6784313725490196,0.6784313725490196,0.9921568627450981,1.0,0.9921568627450981,0.8784313725490196,0.3176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5176470588235295,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.6705882352941176,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6,0.9921568627450981,0.9568627450980393,0.796078431372549,0.3215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3607843137254902,0.7529411764705882,0.47843137254901963,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.796078431372549,0.7568627450980392,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.796078431372549,0.9921568627450981,0.5137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4,0.996078431372549,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4,0.9921568627450981,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.996078431372549,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.3215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.596078431372549,0.9921568627450981,0.796078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.596078431372549,0.9882352941176471,0.796078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3607843137254902,0.9921568627450981,0.8392156862745098,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.8313725490196079,0.9921568627450981,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.796078431372549,0.996078431372549,0.4392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6352941176470588,0.9921568627450981,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4,0.996078431372549,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4,0.9921568627450981,0.7529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4,0.996078431372549,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4,0.9921568627450981,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,1.0,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6784313725490196,0.9921568627450981,0.24313725490196078,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.9882352941176471,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.38823529411764707,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.8509803921568627,0.4627450980392157,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6980392156862745,0.9686274509803922,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.5490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.9568627450980393,0.9921568627450981,0.8156862745098039,0.6941176470588235,0.6941176470588235,0.21568627450980393,0.38823529411764707,0.9921568627450981,0.9764705882352941,0.3607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.6470588235294118,0.7019607843137254,9.803921568627451e-2,0.0,0.0,0.0,0.27058823529411763,0.9921568627450981,0.9921568627450981,0.42745098039215684,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.27058823529411763,0.9921568627450981,0.9764705882352941,0.37254901960784315,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.6,0.9921568627450981,0.5607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.9411764705882353,0.9921568627450981,0.9921568627450981,0.34901960784313724,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.43529411764705883,0.9686274509803922,0.9921568627450981,0.9921568627450981,0.8901960784313725,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12156862745098039,0.8941176470588236,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8666666666666667,0.34509803921568627,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13725490196078433,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9882352941176471,0.807843137254902,0.18823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10980392156862745,0.803921568627451,0.803921568627451,0.803921568627451,0.3215686274509804,0.26666666666666666,0.26666666666666666,0.7372549019607844,0.9921568627450981,0.9921568627450981,0.8862745098039215,0.2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.22745098039215686,0.6549019607843137,0.9921568627450981,0.9921568627450981,0.8784313725490196,0.1411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.6901960784313725,0.9921568627450981,0.9921568627450981,0.22745098039215686,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6784313725490196,0.9921568627450981,0.8666666666666667,0.1450980392156863,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.40784313725490196,0.9921568627450981,0.9921568627450981,0.29411764705882354,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.8901960784313725,0.9921568627450981,0.9921568627450981,0.29411764705882354,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.7058823529411764e-2,0.24705882352941178,0.5490196078431373,0.8862745098039215,0.9921568627450981,0.9921568627450981,0.9333333333333333,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.16470588235294117,0.6,0.7568627450980392,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8509803921568627,0.33725490196078434,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.11372549019607843,0.6196078431372549,0.984313725490196,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9098039215686274,0.4,5.0980392156862744e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,0.4549019607843137,0.7294117647058823,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8901960784313725,0.4549019607843137,0.44313725490196076,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7333333333333333,0.6901960784313725,0.2980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5372549019607843,0.996078431372549,0.44313725490196076,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5254901960784314,0.5450980392156862,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4235294117647059,0.996078431372549,0.44313725490196076,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.27058823529411763,0.9725490196078431,0.996078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8352941176470589,0.996078431372549,0.44313725490196076,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5215686274509804,0.996078431372549,0.8,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17254901960784313,0.9411764705882353,0.996078431372549,0.44313725490196076,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.792156862745098,0.996078431372549,0.3058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.396078431372549,0.996078431372549,0.996078431372549,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.8117647058823529,0.9607843137254902,6.274509803921569e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.7058823529411764e-2,0.8470588235294118,0.996078431372549,0.6784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.33725490196078434,0.996078431372549,0.6,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6078431372549019,0.996078431372549,0.996078431372549,0.1843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7215686274509804,0.996078431372549,0.6,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3058823529411765,0.9411764705882353,0.996078431372549,0.8705882352941177,3.137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.8823529411764705e-2,0.807843137254902,0.996078431372549,0.6,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.796078431372549,0.996078431372549,0.996078431372549,0.18823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.18823529411764706,0.996078431372549,0.996078431372549,0.21176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1411764705882353,0.996078431372549,0.996078431372549,0.6784313725490196,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.18823529411764706,0.996078431372549,0.996078431372549,0.13725490196078433,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2784313725490196,0.8,0.996078431372549,0.8549019607843137,9.803921568627451e-2,0.0,3.92156862745098e-3,4.7058823529411764e-2,4.7058823529411764e-2,4.7058823529411764e-2,2.7450980392156862e-2,4.7058823529411764e-2,4.7058823529411764e-2,3.92156862745098e-3,0.0,0.18823529411764706,0.996078431372549,0.6784313725490196,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5882352941176471,0.996078431372549,0.996078431372549,0.8823529411764706,0.5803921568627451,0.5803921568627451,0.592156862745098,0.996078431372549,0.996078431372549,1.0,0.803921568627451,0.996078431372549,0.996078431372549,0.35294117647058826,5.0980392156862744e-2,0.4627450980392157,0.996078431372549,0.615686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9137254901960784,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.8549019607843137,0.8823529411764706,0.8274509803921568,0.996078431372549,0.796078431372549,0.8784313725490196,0.996078431372549,0.20784313725490197,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4196078431372549,0.996078431372549,0.996078431372549,0.8784313725490196,0.788235294117647,0.7411764705882353,0.7411764705882353,0.4823529411764706,0.2784313725490196,0.2784313725490196,6.666666666666667e-2,0.10588235294117647,2.7450980392156862e-2,0.27058823529411763,0.6980392156862745,0.996078431372549,0.8117647058823529,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.20784313725490197,0.20784313725490197,0.10980392156862745,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5803921568627451,0.996078431372549,0.5882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.13725490196078433,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8941176470588236,0.8274509803921568,0.34901960784313724,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.4745098039215686,0.4745098039215686,0.8862745098039215,0.9921568627450981,0.9098039215686274,0.17254901960784313,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23921568627450981,0.9215686274509803,0.9764705882352941,0.9411764705882353,0.9411764705882353,0.9411764705882353,0.9411764705882353,0.9411764705882353,0.9450980392156862,0.9607843137254902,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.36470588235294116,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.7176470588235294,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.36470588235294116,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.15294117647058825,0.15294117647058825,0.20784313725490197,0.37254901960784315,0.15294117647058825,0.15294117647058825,0.15294117647058825,0.15294117647058825,0.8588235294117647,0.9882352941176471,0.9882352941176471,0.7725490196078432,0.24705882352941178,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.29411764705882354,0.9568627450980393,0.9882352941176471,0.8196078431372549,6.666666666666667e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.47843137254901963,0.9882352941176471,0.9882352941176471,0.7764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.37254901960784315,0.9568627450980393,0.9882352941176471,0.9882352941176471,0.6941176470588235,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.9450980392156862,0.9882352941176471,0.9882352941176471,0.49411764705882355,9.411764705882353e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.7725490196078432,0.9882352941176471,0.9882352941176471,0.9725490196078431,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.7686274509803922,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.7725490196078432,0.9921568627450981,1.0,0.9921568627450981,0.6235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.4823529411764706,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.403921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.35294117647058826,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.1450980392156863,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.7764705882352941,0.9882352941176471,0.9882352941176471,0.8196078431372549,0.43137254901960786,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.058823529411765e-2,0.6901960784313725,0.9882352941176471,0.9882352941176471,0.9725490196078431,0.34509803921568627,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.4196078431372549,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.5490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6705882352941176,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9137254901960784,0.12941176470588237,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.8509803921568627,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.5490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34901960784313724,0.9803921568627451,0.9882352941176471,0.9882352941176471,0.8666666666666667,0.15294117647058825,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8352941176470589,0.8509803921568627,0.8509803921568627,0.30980392156862746,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1411764705882353,0.49019607843137253,0.7490196078431373,0.8549019607843137,1.0,0.996078431372549,0.996078431372549,0.9450980392156862,0.2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8,0.9764705882352941,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9803921568627451,0.9215686274509803,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34509803921568627,0.9450980392156862,0.984313725490196,0.9921568627450981,0.8823529411764706,0.5568627450980392,0.19215686274509805,4.7058823529411764e-2,4.7058823529411764e-2,4.7058823529411764e-2,0.4117647058823529,0.9921568627450981,0.9921568627450981,0.43529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.37254901960784315,0.8823529411764706,0.9921568627450981,0.6549019607843137,0.44313725490196076,5.4901960784313725e-2,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,0.8274509803921568,0.9921568627450981,0.4588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3568627450980392,0.9333333333333333,0.9921568627450981,0.6666666666666666,0.10980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5882352941176471,0.9921568627450981,0.4588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3843137254901961,0.984313725490196,0.8549019607843137,0.18823529411764706,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5882352941176471,0.9921568627450981,0.4588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4392156862745098,0.9921568627450981,0.4392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.7215686274509804,0.9490196078431372,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.17647058823529413,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2627450980392157,0.9921568627450981,0.9411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10588235294117647,0.9176470588235294,0.9725490196078431,0.4117647058823529,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17254901960784313,0.615686274509804,0.9921568627450981,0.5176470588235295,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.7411764705882353,0.9921568627450981,0.796078431372549,0.10588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.611764705882353,0.9921568627450981,0.9647058823529412,0.30196078431372547,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.611764705882353,0.9921568627450981,0.792156862745098,0.26666666666666666,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.611764705882353,0.9921568627450981,0.8862745098039215,0.2784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11764705882352941,0.12941176470588237,0.12941176470588237,0.5490196078431373,0.6392156862745098,0.7294117647058823,0.9921568627450981,0.8862745098039215,0.14901960784313725,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.7058823529411764e-2,0.3176470588235294,0.9568627450980393,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7294117647058823,0.27450980392156865,9.019607843137255e-2,0.0,0.0,8.627450980392157e-2,0.611764705882353,0.30196078431372547,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3137254901960784,0.7647058823529411,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9725490196078431,0.9176470588235294,0.6509803921568628,0.9725490196078431,0.9921568627450981,0.9921568627450981,0.9411764705882353,0.5882352941176471,0.28627450980392155,0.5647058823529412,0.40784313725490196,0.2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.9725490196078431,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9490196078431372,0.4117647058823529,0.0,0.0,0.4196078431372549,0.9490196078431372,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9607843137254902,0.6274509803921569,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.9803921568627451,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9686274509803922,0.5294117647058824,8.235294117647059e-2,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.4588235294117647,0.7176470588235294,0.7176470588235294,0.18823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4745098039215686,0.4823529411764706,0.6901960784313725,0.5294117647058824,6.274509803921569e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23921568627450981,0.611764705882353,0.5803921568627451,0.34901960784313724,0.3176470588235294,0.611764705882353,1.0,0.996078431372549,0.996078431372549,0.996078431372549,0.8470588235294118,0.611764705882353,0.5803921568627451,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10196078431372549,0.8117647058823529,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9607843137254902,0.9176470588235294,0.7647058823529411,0.9137254901960784,0.9137254901960784,0.9137254901960784,0.9647058823529412,0.9921568627450981,0.9450980392156862,9.411764705882353e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6509803921568628,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.5019607843137255,0.18823529411764706,0.0,0.0,0.0,0.0,0.0,0.18823529411764706,0.8862745098039215,0.9921568627450981,0.3411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.6823529411764706,0.984313725490196,0.9921568627450981,0.9568627450980393,0.48627450980392156,7.450980392156863e-2,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8392156862745098,0.9921568627450981,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5176470588235295,0.9921568627450981,0.9921568627450981,0.6941176470588235,0.17647058823529413,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1803921568627451,0.9568627450980393,0.9921568627450981,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,0.7647058823529411,0.35294117647058826,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7019607843137254,0.996078431372549,0.596078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.996078431372549,0.984313725490196,0.2823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6470588235294118,0.996078431372549,0.6470588235294118,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.9725490196078431,0.996078431372549,0.1803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30196078431372547,0.9921568627450981,0.6705882352941176,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.9372549019607843,0.996078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.3607843137254902,0.9921568627450981,0.9921568627450981,0.8431372549019608,0.8392156862745098,0.8392156862745098,0.7098039215686275,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.6549019607843137,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.8352941176470589,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.788235294117647,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7254901960784313,0.4588235294117647,0.13333333333333333,7.450980392156863e-2,6.274509803921569e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4666666666666667,0.28627450980392155,0.7568627450980392,0.9294117647058824,0.1411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3137254901960784,0.996078431372549,0.8392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4627450980392157,0.9921568627450981,0.6588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4627450980392157,0.9921568627450981,0.4588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4627450980392157,0.9921568627450981,0.4588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2823529411764706,0.7568627450980392,0.13333333333333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.8549019607843137,0.8196078431372549,0.24313725490196078,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.7411764705882353,0.9882352941176471,0.7254901960784313,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6627450980392157,0.9882352941176471,0.8431372549019608,2.3529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6627450980392157,0.9882352941176471,0.9921568627450981,0.24705882352941178,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6627450980392157,0.9882352941176471,0.9921568627450981,0.24705882352941178,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.42745098039215684,0.9921568627450981,0.996078431372549,0.6588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.9882352941176471,0.9921568627450981,0.6588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23137254901960785,0.9764705882352941,0.9921568627450981,0.8235294117647058,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8274509803921568,0.9921568627450981,0.9882352941176471,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8274509803921568,0.9921568627450981,0.9882352941176471,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8313725490196079,1.0,0.9921568627450981,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8274509803921568,0.9921568627450981,0.9882352941176471,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8274509803921568,0.9921568627450981,0.9882352941176471,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6549019607843137,0.9921568627450981,0.9882352941176471,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8274509803921568,0.9921568627450981,0.9882352941176471,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8313725490196079,1.0,0.9921568627450981,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5137254901960784,0.9921568627450981,0.9882352941176471,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.41568627450980394,0.9921568627450981,0.9882352941176471,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.41568627450980394,0.9921568627450981,0.9882352941176471,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.058823529411765e-2,0.8196078431372549,0.7137254901960784,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.19607843137254902,0.6666666666666666,0.996078431372549,0.23137254901960785,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1411764705882353,0.7490196078431373,0.9607843137254902,0.996078431372549,0.996078431372549,0.6862745098039216,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.27450980392156865,0.9490196078431372,0.996078431372549,0.9215686274509803,0.9137254901960784,0.996078431372549,0.7137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.019607843137255e-2,0.7215686274509804,0.996078431372549,0.9529411764705882,0.38823529411764707,0.10588235294117647,0.43137254901960786,0.996078431372549,0.7137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.803921568627451,0.9686274509803922,0.3843137254901961,0.10196078431372549,0.0,0.0,0.43137254901960786,0.996078431372549,0.5843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1568627450980392,0.40784313725490196,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.43137254901960786,0.996078431372549,0.12941176470588237,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.43137254901960786,0.9176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.8392156862745098,0.5843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5254901960784314,0.7843137254901961,6.274509803921569e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.9058823529411765,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5725490196078431,0.9568627450980393,0.2823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,0.788235294117647,0.5176470588235295,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6431372549019608,0.8862745098039215,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.47843137254901963,0.803921568627451,0.1843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30980392156862746,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,5.8823529411764705e-2,0.32941176470588235,0.8470588235294118,0.9803921568627451,0.5647058823529412,4.7058823529411764e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.8117647058823529,0.8941176470588236,0.1450980392156863,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.5333333333333333,0.9333333333333333,0.996078431372549,0.8941176470588236,0.24705882352941178,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5294117647058824,0.996078431372549,0.25882352941176473,0.0,0.0,0.0,0.20784313725490197,0.7450980392156863,0.996078431372549,0.996078431372549,0.7725490196078432,0.4588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.9058823529411765,0.7137254901960784,0.0,0.12549019607843137,0.396078431372549,0.7215686274509804,0.9764705882352941,0.9372549019607843,0.7019607843137254,0.3764705882352941,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,0.996078431372549,0.38823529411764707,0.5019607843137255,0.9098039215686274,0.996078431372549,0.984313725490196,0.7254901960784313,0.23137254901960785,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.8666666666666667,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.7529411764705882,0.27450980392156865,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.21568627450980393,0.996078431372549,0.996078431372549,0.7372549019607844,0.4117647058823529,0.2823529411764706,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25882352941176473,0.8705882352941177,0.11372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12156862745098039,0.8745098039215686,0.996078431372549,0.4980392156862745,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25882352941176473,0.996078431372549,0.996078431372549,0.996078431372549,0.6784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7098039215686275,0.996078431372549,0.996078431372549,0.996078431372549,0.6784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7098039215686275,0.996078431372549,0.996078431372549,0.996078431372549,0.6196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7098039215686275,0.996078431372549,0.996078431372549,0.9529411764705882,0.16470588235294117,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13333333333333333,0.9019607843137255,0.996078431372549,0.996078431372549,0.7019607843137254,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5294117647058824,0.996078431372549,0.996078431372549,0.996078431372549,0.6078431372549019,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.7529411764705882,0.996078431372549,0.996078431372549,0.996078431372549,0.21568627450980393,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17254901960784313,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.21568627450980393,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17254901960784313,0.996078431372549,0.996078431372549,0.996078431372549,0.9254901960784314,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17254901960784313,0.996078431372549,0.996078431372549,0.996078431372549,0.7294117647058823,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17254901960784313,0.996078431372549,0.996078431372549,0.996078431372549,0.33725490196078434,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17254901960784313,0.996078431372549,0.996078431372549,0.792156862745098,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.019607843137255e-2,0.8431372549019608,0.996078431372549,0.9647058823529412,0.38823529411764707,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10588235294117647,0.8745098039215686,0.996078431372549,0.996078431372549,0.7294117647058823,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.8156862745098039,0.996078431372549,0.996078431372549,0.7294117647058823,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.019607843137255e-2,0.8431372549019608,0.996078431372549,0.996078431372549,0.7294117647058823,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.411764705882353e-2,0.8509803921568627,0.996078431372549,0.996078431372549,0.7294117647058823,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4470588235294118,1.0,1.0,0.49019607843137253,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6313725490196078,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8509803921568627,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5215686274509804,0.9058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3058823529411765,0.9058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25882352941176473,0.9176470588235294,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.21176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.21176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.21176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.36470588235294116,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.32941176470588235,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12156862745098039,1.0,0.30196078431372547,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3058823529411765,0.996078431372549,0.21176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3058823529411765,0.9137254901960784,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,0.9058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6470588235294118,0.9058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9058823529411765,0.8313725490196079,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9058823529411765,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.9137254901960784,0.3058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.21176470588235294,0.9921568627450981,0.14901960784313725,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.396078431372549,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.3803921568627451,0.7098039215686275,0.996078431372549,1.0,0.8666666666666667,0.41568627450980394,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10980392156862745,0.5019607843137255,0.8352941176470589,0.9607843137254902,0.996078431372549,0.996078431372549,0.9647058823529412,0.9372549019607843,0.996078431372549,0.996078431372549,0.3686274509803922,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10588235294117647,0.592156862745098,0.9372549019607843,0.996078431372549,0.996078431372549,0.8705882352941177,0.8,0.7411764705882353,0.27450980392156865,0.10588235294117647,0.8431372549019608,0.996078431372549,0.3843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.9725490196078431,0.996078431372549,0.9137254901960784,0.1568627450980392,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.3764705882352941,0.996078431372549,0.43529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4745098039215686,0.2823529411764706,0.12941176470588237,0.0,0.0,0.0,0.0,0.0,0.0,0.2980392156862745,0.996078431372549,0.7333333333333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3686274509803922,0.996078431372549,0.5843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.48627450980392156,0.996078431372549,0.1568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.796078431372549,0.6823529411764706,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4,0.996078431372549,0.47843137254901963,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1568627450980392,0.8745098039215686,0.803921568627451,0.996078431372549,0.45098039215686275,0.12941176470588237,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1568627450980392,0.9725490196078431,0.996078431372549,0.996078431372549,0.996078431372549,0.9490196078431372,0.7490196078431373,0.2784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5490196078431373,0.996078431372549,0.996078431372549,0.9725490196078431,0.8196078431372549,0.996078431372549,0.8352941176470589,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.7294117647058823,0.8156862745098039,0.2784313725490196,0.19215686274509805,0.2901960784313726,0.7490196078431373,0.5254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5254901960784314,0.996078431372549,0.4666666666666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,0.7725490196078432,0.6588235294117647,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5490196078431373,0.8823529411764706,0.16862745098039217,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.9137254901960784,0.41568627450980394,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6313725490196078,0.8901960784313725,6.666666666666667e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8941176470588236,0.48627450980392156,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6588235294117647,2.3529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4745098039215686,1.0,0.6470588235294118,0.0,0.0,0.0,0.0,0.0,0.0,0.27450980392156865,0.996078431372549,0.7019607843137254,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5137254901960784,0.996078431372549,0.6,0.0,0.0,0.0,0.0,0.0,0.0,0.41568627450980394,0.996078431372549,0.9764705882352941,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8470588235294118,0.996078431372549,0.4117647058823529,0.0,0.0,0.0,0.0,0.0,0.0,0.5490196078431373,0.996078431372549,0.9411764705882353,0.1450980392156863,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.8823529411764706,0.996078431372549,0.32941176470588235,0.0,0.0,0.0,0.0,0.0,0.3333333333333333,0.9137254901960784,0.996078431372549,0.8431372549019608,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.22745098039215686,0.996078431372549,0.996078431372549,0.1803921568627451,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.7294117647058823,0.996078431372549,0.996078431372549,0.807843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.22745098039215686,0.996078431372549,0.996078431372549,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.5725490196078431,0.996078431372549,0.996078431372549,0.996078431372549,0.47058823529411764,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5882352941176471,0.996078431372549,0.996078431372549,3.529411764705882e-2,0.0,0.0,0.0,0.4980392156862745,0.984313725490196,0.996078431372549,0.996078431372549,0.9372549019607843,8.627450980392157e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6,0.996078431372549,0.996078431372549,3.529411764705882e-2,0.0,0.0,0.3607843137254902,0.9647058823529412,0.996078431372549,0.996078431372549,0.996078431372549,0.7098039215686275,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4117647058823529,0.9450980392156862,0.996078431372549,0.1568627450980392,0.0,0.10588235294117647,0.9568627450980393,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.5882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6313725490196078,0.996078431372549,0.6627450980392157,0.39215686274509803,0.9568627450980393,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9882352941176471,0.27450980392156865,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.26666666666666666,0.6901960784313725,0.9921568627450981,0.996078431372549,0.996078431372549,0.9607843137254902,0.6549019607843137,0.996078431372549,0.996078431372549,0.792156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.38823529411764707,0.6941176470588235,0.5725490196078431,0.13725490196078433,0.43137254901960786,0.996078431372549,0.996078431372549,0.5803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.807843137254902,0.996078431372549,0.996078431372549,0.5137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5098039215686274,0.996078431372549,0.8588235294117647,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6823529411764706,0.996078431372549,0.8235294117647058,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6078431372549019,0.996078431372549,0.48627450980392156,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7254901960784313,0.996078431372549,0.45098039215686275,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.807843137254902,0.996078431372549,0.45098039215686275,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7607843137254902,0.996078431372549,0.45098039215686275,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10588235294117647,0.7529411764705882,0.45098039215686275,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.4,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3215686274509804,0.8392156862745098,0.9921568627450981,0.6392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12156862745098039,0.9098039215686274,0.8745098039215686,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.796078431372549,0.9568627450980393,0.1568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.9529411764705882,0.6352941176470588,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2823529411764706,0.9921568627450981,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.9137254901960784,0.8313725490196079,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.6784313725490196,0.8784313725490196,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5176470588235295,0.9882352941176471,0.6352941176470588,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.996078431372549,0.7529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.796078431372549,0.9137254901960784,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5176470588235295,0.9921568627450981,0.4,0.0,0.12156862745098039,0.2,0.2,0.2,0.44313725490196076,0.4392156862745098,0.44313725490196076,0.596078431372549,0.5176470588235295,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3215686274509804,0.9921568627450981,0.9882352941176471,0.8745098039215686,0.796078431372549,0.9137254901960784,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.3568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.2,0.6784313725490196,0.9921568627450981,0.996078431372549,0.9921568627450981,0.996078431372549,0.8352941176470589,0.4,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.6392156862745098,0.796078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4823529411764706,0.8352941176470589,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.7529411764705882,0.43529411764705883,0.19607843137254902,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6784313725490196,0.9921568627450981,1.0,0.9921568627450981,0.8784313725490196,0.1568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.5098039215686274,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4,0.4,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.019607843137255e-2,0.592156862745098,1.0,0.996078431372549,0.6392156862745098,0.12549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.019607843137255e-2,0.8274509803921568,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.26666666666666666,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6078431372549019,0.9450980392156862,0.596078431372549,0.5294117647058824,0.9725490196078431,0.9921568627450981,0.7254901960784313,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5490196078431373,0.32941176470588235,0.0,0.0,0.6352941176470588,0.9686274509803922,0.7529411764705882,2.3529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.7607843137254902,0.9921568627450981,0.21568627450980393,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2196078431372549,0.9921568627450981,0.9921568627450981,0.21568627450980393,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3058823529411765,0.9921568627450981,0.8156862745098039,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7058823529411765,0.9921568627450981,0.7254901960784313,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1411764705882353,0.9098039215686274,0.9921568627450981,0.7843137254901961,0.2196078431372549,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.19607843137254902,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6235294117647059,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.7254901960784313,0.9215686274509803,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7450980392156863,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.34901960784313724,0.788235294117647,0.9921568627450981,0.9921568627450981,0.807843137254902,9.411764705882353e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.8823529411764705e-2,0.8392156862745098,0.9921568627450981,0.9921568627450981,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.803921568627451,0.9921568627450981,0.9921568627450981,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10196078431372549,0.5058823529411764,0.9647058823529412,0.9921568627450981,0.8588235294117647,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2901960784313726,0.792156862745098,0.9921568627450981,0.9921568627450981,0.8588235294117647,0.1450980392156863,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3803921568627451,0.9019607843137255,0.9686274509803922,0.9921568627450981,0.9921568627450981,0.6588235294117647,0.1450980392156863,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3764705882352941,0.9725490196078431,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.5058823529411764,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6549019607843137,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.5098039215686274,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4196078431372549,0.9921568627450981,0.8862745098039215,0.14901960784313725,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6392156862745098,0.7568627450980392,0.596078431372549,0.3607843137254902,0.2,0.2,0.2,0.2,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.8745098039215686,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.7529411764705882,0.3215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.9921568627450981,0.4,0.0,8.235294117647059e-2,0.4,0.24313725490196078,0.4,0.4,0.23921568627450981,0.7176470588235294,0.1568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.9882352941176471,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.9921568627450981,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3607843137254902,0.9882352941176471,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6784313725490196,0.9921568627450981,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.8745098039215686,0.796078431372549,0.796078431372549,0.796078431372549,0.3215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4823529411764706,0.996078431372549,0.9921568627450981,0.8784313725490196,0.796078431372549,0.796078431372549,0.8745098039215686,0.996078431372549,0.2784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.9529411764705882,0.9921568627450981,0.5098039215686274,7.84313725490196e-2,0.0,0.0,7.84313725490196e-2,0.9921568627450981,0.9098039215686274,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.596078431372549,0.9921568627450981,0.7176470588235294,0.0,0.0,0.0,0.0,0.0,0.5176470588235295,0.9921568627450981,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.592156862745098,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.2,0.9882352941176471,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.44313725490196076,0.9921568627450981,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3215686274509804,0.7176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7568627450980392,0.9882352941176471,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.796078431372549,0.7176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.996078431372549,0.9921568627450981,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.8745098039215686,0.4,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.796078431372549,0.9921568627450981,0.5098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8,0.4823529411764706,0.0,0.0,0.0,0.0,0.1607843137254902,0.6784313725490196,0.9921568627450981,0.796078431372549,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6352941176470588,0.8745098039215686,0.4,8.235294117647059e-2,0.4,0.6392156862745098,0.9529411764705882,0.9921568627450981,0.6705882352941176,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.9176470588235294,0.9921568627450981,1.0,0.9921568627450981,1.0,0.6745098039215687,0.3215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11764705882352941,0.5137254901960784,0.7529411764705882,0.43529411764705883,0.19607843137254902,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.592156862745098,0.9921568627450981,0.6549019607843137,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.803921568627451e-2,0.8705882352941177,0.9882352941176471,0.9882352941176471,0.25882352941176473,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7764705882352941,0.9882352941176471,0.9882352941176471,0.7333333333333333,5.0980392156862744e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5490196078431373,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.35294117647058826,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.27450980392156865,0.9725490196078431,0.9882352941176471,0.9882352941176471,0.5568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7568627450980392,0.9882352941176471,0.9882352941176471,0.8980392156862745,0.15294117647058825,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.27058823529411763,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.8274509803921568,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.9215686274509803,0.9882352941176471,0.9882352941176471,0.8862745098039215,5.4901960784313725e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4745098039215686,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.30196078431372547,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.7647058823529411,0.9882352941176471,0.9921568627450981,0.788235294117647,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7372549019607844,0.9921568627450981,1.0,0.9921568627450981,0.17254901960784313,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6196078431372549,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.4745098039215686,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3058823529411765,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.7529411764705882,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.8313725490196079,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.4549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.43529411764705883,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.7529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2823529411764706,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9333333333333333,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7843137254901961,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.5490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.49019607843137253,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.7725490196078432,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13333333333333333,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.4549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.43137254901960786,0.9137254901960784,0.9529411764705882,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2980392156862745,0.6823529411764706,0.8862745098039215,1.0,0.7254901960784313,0.20784313725490197,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8705882352941177,0.3254901960784314,0.26666666666666666,0.2901960784313726,0.7294117647058823,0.9529411764705882,0.47843137254901963,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.37254901960784315,4.3137254901960784e-2,0.0,0.0,2.7450980392156862e-2,0.4470588235294118,0.9490196078431372,0.3803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.4470588235294118,0.8705882352941177,9.411764705882353e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.411764705882353e-2,0.8588235294117647,0.6549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2784313725490196,0.8745098039215686,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17254901960784313,0.9764705882352941,0.32941176470588235,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7137254901960784,0.6470588235294118,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8549019607843137,0.6470588235294118,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.9450980392156862,0.6470588235294118,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2549019607843137,0.996078431372549,0.3803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2549019607843137,0.996078431372549,0.14901960784313725,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2823529411764706,0.30980392156862746,0.4,7.84313725490196e-2,0.0,0.0,0.6470588235294118,0.7098039215686275,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.6235294117647059,0.9490196078431372,0.9647058823529412,0.9647058823529412,0.9490196078431372,0.4666666666666667,0.23137254901960785,0.9921568627450981,0.37254901960784315,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7333333333333333,0.8745098039215686,0.13725490196078433,0.0,1.96078431372549e-2,0.4549019607843137,0.9529411764705882,0.996078431372549,0.8117647058823529,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10980392156862745,0.9529411764705882,0.403921568627451,0.0,0.0,0.0,0.0,0.3176470588235294,0.996078431372549,0.8549019607843137,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.24705882352941178,0.996078431372549,0.12549019607843137,0.0,0.0,0.0,0.3058823529411765,0.9568627450980393,0.8392156862745098,0.8862745098039215,0.7843137254901961,6.274509803921569e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.996078431372549,0.19607843137254902,0.0,0.2196078431372549,0.36470588235294116,0.9607843137254902,0.8392156862745098,0.11764705882352941,0.16470588235294117,0.8901960784313725,0.792156862745098,0.22745098039215686,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.7529411764705882,0.9450980392156862,0.9019607843137255,0.9921568627450981,0.996078431372549,0.6549019607843137,0.11372549019607843,0.0,0.0,0.1568627450980392,0.5254901960784314,0.9568627450980393,0.7215686274509804,0.27058823529411763,0.12549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.5372549019607843,0.6784313725490196,0.3686274509803922,4.7058823529411764e-2,1.1764705882352941e-2,0.0,0.0,0.0,0.0,3.92156862745098e-3,0.4,0.8196078431372549,0.9411764705882353,0.21176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.43529411764705883,0.5215686274509804,0.3215686274509804,3.92156862745098e-3,0.0,0.0,0.0,1.1764705882352941e-2,0.39215686274509803,0.6588235294117647,0.8392156862745098,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3333333333333333,0.9921568627450981,0.9921568627450981,0.9921568627450981,4.3137254901960784e-2,0.0,0.0,1.568627450980392e-2,0.4980392156862745,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.1411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2196078431372549,0.9058823529411765,0.9921568627450981,0.9921568627450981,0.9333333333333333,3.92156862745098e-2,0.0,0.0,0.1450980392156863,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.43529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7137254901960784,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.5647058823529412,0.0,0.0,0.0,0.1450980392156863,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.5215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.9137254901960784,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.22745098039215686,0.0,0.0,0.0,0.1450980392156863,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.1411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.7607843137254902,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,9.411764705882353e-2,0.0,1.568627450980392e-2,0.3333333333333333,0.792156862745098,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.1411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.396078431372549,0.3333333333333333,0.8196078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7215686274509804,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5529411764705883,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.2549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.41568627450980394,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7333333333333333,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13725490196078433,0.9725490196078431,0.9490196078431372,0.5843137254901961,0.8627450980392157,0.9490196078431372,0.9490196078431372,0.9490196078431372,0.9568627450980393,0.996078431372549,0.996078431372549,1.0,0.996078431372549,0.6862745098039216,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.20392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.7490196078431373,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.23529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5686274509803921,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.30196078431372547,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.8549019607843137,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16470588235294117,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8862745098039215,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.23529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.38823529411764707,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.23529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.47843137254901963,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9019607843137255,0.1450980392156863,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.7058823529411764e-2,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.3254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.6274509803921569,4.3137254901960784e-2,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.44313725490196076,0.8352941176470589,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9137254901960784,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.9882352941176471,0.3215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.9921568627450981,0.6392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.9882352941176471,0.8745098039215686,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.9921568627450981,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.9921568627450981,0.996078431372549,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.9882352941176471,0.9921568627450981,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.9921568627450981,0.996078431372549,0.19607843137254902,0.20392156862745098,0.5137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.23921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3607843137254902,0.9882352941176471,0.8352941176470589,0.2,0.7568627450980392,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.596078431372549,0.9921568627450981,0.996078431372549,0.9921568627450981,0.796078431372549,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.7568627450980392,0.9882352941176471,0.9921568627450981,0.8313725490196079,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7568627450980392,0.9921568627450981,0.996078431372549,0.5137254901960784,0.2,0.2,0.2,0.5176470588235295,0.8392156862745098,0.9921568627450981,0.996078431372549,0.9921568627450981,0.996078431372549,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.9098039215686274,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.8352941176470589,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3215686274509804,0.9176470588235294,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9568627450980393,0.796078431372549,0.5568627450980392,0.4,0.996078431372549,0.9921568627450981,0.7176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11764705882352941,0.19607843137254902,0.19607843137254902,0.19607843137254902,0.1568627450980392,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.596078431372549,0.9921568627450981,0.796078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9137254901960784,0.9882352941176471,0.47843137254901963,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.9921568627450981,0.403921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6784313725490196,0.9921568627450981,0.403921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.6745098039215687,0.23921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13725490196078433,0.611764705882353,0.9647058823529412,0.22745098039215686,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10980392156862745,0.8509803921568627,0.9921568627450981,0.9803921568627451,0.21176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4980392156862745,0.9921568627450981,0.9921568627450981,0.6,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.20784313725490197,0.9647058823529412,0.9921568627450981,0.7647058823529411,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5294117647058824,0.996078431372549,0.7843137254901961,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.39215686274509803,0.996078431372549,0.9450980392156862,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.7176470588235294,0.9921568627450981,0.4117647058823529,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30980392156862746,0.9921568627450981,0.7254901960784313,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7490196078431373,0.5254901960784314,0.8470588235294118,0.13333333333333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1803921568627451,0.9568627450980393,0.9921568627450981,0.30980392156862746,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8509803921568627,0.996078431372549,0.7176470588235294,3.137254901960784e-2,0.0,0.0,0.0,0.1607843137254902,0.10588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.3058823529411765,0.0,6.274509803921569e-2,0.5490196078431373,0.8392156862745098,0.9450980392156862,0.8509803921568627,0.2823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23921568627450981,0.996078431372549,0.9686274509803922,0.21176470588235294,0.0,0.5294117647058824,0.596078431372549,0.6509803921568628,0.9921568627450981,0.9921568627450981,0.8745098039215686,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7647058823529411,0.996078431372549,0.7058823529411765,0.0,0.0,0.0,0.0,4.7058823529411764e-2,0.8745098039215686,0.9921568627450981,0.9921568627450981,0.2980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7647058823529411,0.996078431372549,0.38823529411764707,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.9921568627450981,0.9921568627450981,0.8431372549019608,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7686274509803922,1.0,0.5333333333333333,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.996078431372549,0.996078431372549,0.5215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7647058823529411,0.996078431372549,0.7450980392156863,0.34509803921568627,7.84313725490196e-3,0.0,1.96078431372549e-2,0.2980392156862745,0.9921568627450981,0.9803921568627451,0.21176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,0.8745098039215686,0.9921568627450981,0.9921568627450981,0.6509803921568628,0.30980392156862746,0.611764705882353,0.9921568627450981,0.9921568627450981,0.5725490196078431,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.2823529411764706,0.792156862745098,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.8823529411764706,9.019607843137255e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.22745098039215686,0.7843137254901961,0.8431372549019608,0.7568627450980392,0.28627450980392155,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.803921568627451e-2,0.23529411764705882,0.23529411764705882,0.5137254901960784,0.8196078431372549,0.8196078431372549,0.8196078431372549,0.8196078431372549,0.8196078431372549,0.8196078431372549,0.8274509803921568,0.6823529411764706,0.23529411764705882,0.12549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.792156862745098,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.8274509803921568,0.10980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3568627450980392,0.6980392156862745,0.6980392156862745,0.6980392156862745,0.6980392156862745,0.6980392156862745,0.38823529411764707,0.11372549019607843,0.11372549019607843,0.11372549019607843,0.3568627450980392,0.9411764705882353,0.9921568627450981,0.9921568627450981,0.6980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.36470588235294116,0.9411764705882353,0.9921568627450981,0.9921568627450981,0.6274509803921569,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.411764705882353e-2,0.5254901960784314,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.11372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10588235294117647,0.35294117647058826,0.35294117647058826,0.9098039215686274,0.9490196078431372,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.42745098039215684,0.3137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.36470588235294116,0.8313725490196079,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9647058823529412,0.4549019607843137,0.1803921568627451,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.47058823529411764,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.5764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4745098039215686,0.996078431372549,0.996078431372549,0.996078431372549,0.6078431372549019,0.48627450980392156,0.0,0.0,0.0,0.0,0.2823529411764706,0.5843137254901961,0.8784313725490196,0.996078431372549,1.0,0.996078431372549,0.4117647058823529,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.17254901960784313,0.17254901960784313,0.17254901960784313,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.19215686274509805,0.8823529411764706,0.9921568627450981,0.9921568627450981,0.5450980392156862,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.18823529411764706,0.9568627450980393,0.9921568627450981,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.9647058823529412,0.9921568627450981,0.7137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2627450980392157,0.9450980392156862,0.5686274509803921,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2823529411764706,0.9411764705882353,0.9921568627450981,0.9921568627450981,0.40784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.29411764705882354,0.9921568627450981,0.9921568627450981,0.7176470588235294,0.7019607843137254,0.7019607843137254,0.4666666666666667,0.25882352941176473,0.7019607843137254,0.7019607843137254,0.7019607843137254,0.9098039215686274,0.9921568627450981,0.9490196078431372,0.7686274509803922,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1411764705882353,0.8392156862745098,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.3686274509803922,0.6392156862745098,0.7019607843137254,0.7843137254901961,1.0,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8862745098039215,0.6392156862745098,0.6392156862745098,6.666666666666667e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,9.411764705882353e-2,0.23137254901960785,0.37254901960784315,0.43529411764705883,0.23137254901960785,0.16470588235294117,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.30196078431372547,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.24705882352941178,0.4666666666666667,0.6705882352941176,0.9490196078431372,0.9529411764705882,0.792156862745098,0.3843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.19215686274509805,8.235294117647059e-2,0.0,9.411764705882353e-2,0.4666666666666667,0.8,0.996078431372549,1.0,0.8901960784313725,0.5019607843137255,0.4196078431372549,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11764705882352941,0.7333333333333333,0.996078431372549,0.9098039215686274,0.8431372549019608,0.9176470588235294,0.996078431372549,0.9450980392156862,0.6235294117647059,0.2901960784313726,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.058823529411765e-2,0.8509803921568627,0.996078431372549,0.996078431372549,0.996078431372549,0.984313725490196,0.8666666666666667,0.4117647058823529,0.13333333333333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.058823529411765e-2,0.7803921568627451,0.996078431372549,0.996078431372549,0.9764705882352941,0.6352941176470588,0.25882352941176473,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7333333333333333,0.996078431372549,0.996078431372549,0.7686274509803922,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.9411764705882353,0.996078431372549,0.6392156862745098,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8705882352941177,0.996078431372549,0.6313725490196078,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13333333333333333,0.9490196078431372,0.9725490196078431,0.2980392156862745,0.13333333333333333,0.4196078431372549,0.5254901960784314,0.8549019607843137,0.6941176470588235,0.36470588235294116,0.10196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4588235294117647,0.996078431372549,0.9725490196078431,0.9450980392156862,0.9529411764705882,0.996078431372549,0.9215686274509803,0.8745098039215686,0.9411764705882353,0.996078431372549,0.9254901960784314,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7764705882352941,0.996078431372549,0.996078431372549,0.788235294117647,0.5647058823529412,0.22745098039215686,8.627450980392157e-2,0.0,0.12156862745098039,0.5568627450980392,0.9803921568627451,0.9137254901960784,0.40784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.058823529411765e-2,0.592156862745098,0.3333333333333333,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.5176470588235295,0.996078431372549,0.6862745098039216,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4235294117647059,0.996078431372549,0.996078431372549,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12941176470588237,0.8196078431372549,0.996078431372549,0.6901960784313725,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.8941176470588236,0.996078431372549,0.9137254901960784,0.17647058823529413,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.3843137254901961,0.7137254901960784,0.9803921568627451,0.996078431372549,0.9058823529411765,0.30980392156862746,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10980392156862745,0.10588235294117647,0.10588235294117647,0.403921568627451,0.4588235294117647,0.592156862745098,0.8705882352941177,0.996078431372549,0.996078431372549,0.9411764705882353,0.5568627450980392,0.10980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9490196078431372,0.9764705882352941,0.9803921568627451,0.9921568627450981,0.9686274509803922,0.9607843137254902,0.9450980392156862,0.7215686274509804,0.39215686274509803,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1803921568627451,0.19215686274509805,0.2549019607843137,0.13333333333333333,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.14901960784313725,0.6039215686274509,0.8431372549019608,0.9450980392156862,0.30196078431372547,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3176470588235294,0.9137254901960784,0.6941176470588235,0.27450980392156865,9.019607843137255e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.20392156862745098,0.5725490196078431,0.5725490196078431,0.5843137254901961,0.6941176470588235,0.8784313725490196,0.45098039215686275,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8666666666666667,0.8117647058823529,0.6313725490196078,0.7215686274509804,0.41568627450980394,0.16862745098039217,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.9725490196078431,0.24313725490196078,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.20784313725490197,0.9882352941176471,0.24313725490196078,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.26666666666666666,0.9921568627450981,0.24313725490196078,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5725490196078431,0.996078431372549,0.24313725490196078,0.0,0.0,1.568627450980392e-2,0.12156862745098039,5.0980392156862744e-2,0.12549019607843137,0.21568627450980393,0.12156862745098039,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4196078431372549,0.996078431372549,0.24313725490196078,5.4901960784313725e-2,0.3254901960784314,0.8392156862745098,0.996078431372549,0.8862745098039215,0.996078431372549,0.996078431372549,0.996078431372549,0.7098039215686275,0.2549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.27450980392156865,0.996078431372549,0.6039215686274509,0.8823529411764706,0.984313725490196,0.6549019607843137,0.32941176470588235,0.27450980392156865,9.019607843137255e-2,9.019607843137255e-2,0.3568627450980392,0.7019607843137254,0.9803921568627451,0.4117647058823529,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.8,0.8627450980392157,0.6039215686274509,0.12941176470588237,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.43137254901960786,1.0,0.20784313725490197,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.8235294117647058,0.9019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.37254901960784315,0.9803921568627451,0.1568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.24313725490196078,0.996078431372549,0.27058823529411763,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2901960784313726,0.9725490196078431,6.666666666666667e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7098039215686275,0.9647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-3,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-3,7.058823529411765e-2,0.8980392156862745,0.7529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.9254901960784314,0.3058823529411765,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,7.058823529411765e-2,0.6313725490196078,0.9137254901960784,0.7254901960784313,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4470588235294118,0.996078431372549,0.35294117647058826,0.12549019607843137,4.7058823529411764e-2,0.21568627450980393,0.3333333333333333,0.6588235294117647,0.9176470588235294,0.9176470588235294,0.5058823529411764,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.5098039215686274,0.8862745098039215,0.9568627450980393,0.9254901960784314,0.996078431372549,0.9686274509803922,0.6901960784313725,0.42745098039215684,0.1568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,0.807843137254902,0.8509803921568627,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.803921568627451,0.9921568627450981,0.8470588235294118,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.803921568627451,0.9921568627450981,0.984313725490196,0.5450980392156862,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5333333333333333,0.9921568627450981,0.9921568627450981,0.5843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.8156862745098039,0.9921568627450981,0.9333333333333333,0.15294117647058825,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8196078431372549,0.9921568627450981,0.9921568627450981,0.5843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.9450980392156862,0.1411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.9921568627450981,0.9215686274509803,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.14901960784313725,0.19607843137254902,0.19607843137254902,0.19607843137254902,0.19607843137254902,0.19607843137254902,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.9215686274509803,0.0,0.0,0.0,0.0,0.0,0.26666666666666666,0.7058823529411765,0.9254901960784314,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7333333333333333,0.49411764705882355,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.9215686274509803,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.7764705882352941,0.9921568627450981,0.9921568627450981,0.8,0.7490196078431373,0.5803921568627451,0.5019607843137255,0.6901960784313725,0.9686274509803922,0.9921568627450981,0.8705882352941177,0.49411764705882355,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.5490196078431373,0.0,0.0,0.0,0.0,0.5647058823529412,0.9921568627450981,0.9921568627450981,0.6588235294117647,5.4901960784313725e-2,0.0,0.0,0.0,0.0,0.4235294117647059,0.8431372549019608,0.9921568627450981,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.8156862745098039,0.0,0.0,0.0,0.0,0.6823529411764706,0.9921568627450981,0.9921568627450981,0.23921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.4392156862745098,0.9921568627450981,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.9215686274509803,0.0,0.0,0.0,0.0,0.6823529411764706,0.9921568627450981,0.9921568627450981,0.23921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.4392156862745098,0.9921568627450981,0.8392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.9450980392156862,0.1411764705882353,0.0,0.0,0.0,0.6823529411764706,0.9921568627450981,0.9921568627450981,0.6431372549019608,0.0,0.0,0.0,0.0,0.0,0.0,0.4392156862745098,0.9921568627450981,0.3411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.403921568627451,0.9921568627450981,0.9921568627450981,0.9098039215686274,0.3333333333333333,0.0,0.0,9.803921568627451e-2,0.49019607843137253,0.8980392156862745,0.9568627450980393,0.7098039215686275,0.25098039215686274,0.0,0.0,0.0,0.0,0.615686274509804,0.9921568627450981,0.4392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.8117647058823529,0.9921568627450981,0.9921568627450981,0.8156862745098039,0.0,0.0,0.0,0.0,0.4470588235294118,0.8980392156862745,0.9921568627450981,0.9568627450980393,0.3411764705882353,0.0,0.0,0.16470588235294117,0.9529411764705882,0.9921568627450981,0.3176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.803921568627451e-2,0.9921568627450981,0.9921568627450981,0.9803921568627451,0.5882352941176471,0.1411764705882353,0.0,0.0,0.0,0.20392156862745098,0.5803921568627451,0.7098039215686275,0.9607843137254902,0.7215686274509804,0.41568627450980394,0.8941176470588236,0.9921568627450981,0.37254901960784315,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-3,0.34509803921568627,0.8117647058823529,0.9921568627450981,0.9921568627450981,0.9490196078431372,0.8274509803921568,0.4392156862745098,0.4392156862745098,0.4392156862745098,0.4392156862745098,0.4627450980392157,0.6745098039215687,0.9921568627450981,0.9921568627450981,0.8117647058823529,0.10196078431372549,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3137254901960784,0.5294117647058824,0.8235294117647058,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8352941176470589,0.5294117647058824,0.3411764705882353,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.10588235294117647,0.5058823529411764,0.5058823529411764,0.5058823529411764,0.5058823529411764,0.5058823529411764,0.5058823529411764,9.803921568627451e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.11372549019607843,1.568627450980392e-2,0.40784313725490196,0.8980392156862745,0.9921568627450981,0.5058823529411764,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3333333333333333,0.9882352941176471,0.7019607843137254,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.47843137254901963,5.0980392156862744e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4823529411764706,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.5803921568627451,0.2196078431372549,0.9921568627450981,0.9882352941176471,0.5607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.9647058823529412,0.9882352941176471,0.9921568627450981,0.4,2.3529411764705882e-2,0.0,0.6,0.9882352941176471,0.6588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6666666666666666,0.9921568627450981,0.9921568627450981,1.0,0.32941176470588235,0.0,0.0,5.0980392156862744e-2,0.8117647058823529,0.9921568627450981,0.3568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6627450980392157,0.9882352941176471,0.9882352941176471,0.9686274509803922,0.2549019607843137,0.0,0.0,0.0,0.6627450980392157,0.9882352941176471,0.8431372549019608,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6627450980392157,0.9882352941176471,0.9882352941176471,0.39215686274509803,0.0,0.0,0.0,0.0,0.3215686274509804,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10196078431372549,0.9529411764705882,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.9921568627450981,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5529411764705883,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8980392156862745,0.9882352941176471,0.8784313725490196,0.6588235294117647,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.6588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.6588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.47058823529411764,0.9921568627450981,0.7450980392156863,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.36470588235294116,0.0,0.0,0.0,0.0,0.0,0.0,0.6627450980392157,0.9882352941176471,0.2549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.2196078431372549,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.7725490196078432,0.9882352941176471,0.10980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.611764705882353,0.0,0.0,0.0,0.0,0.0,0.7019607843137254,0.9882352941176471,0.6941176470588235,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7019607843137254,0.9921568627450981,0.6980392156862745,6.274509803921569e-2,0.0,7.450980392156863e-2,0.25882352941176473,0.7490196078431373,0.996078431372549,0.8196078431372549,9.803921568627451e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.9176470588235294,0.9882352941176471,0.8431372549019608,0.6627450980392157,0.8823529411764706,0.9882352941176471,0.9882352941176471,0.8196078431372549,0.10980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5137254901960784,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.8392156862745098,9.803921568627451e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.2549019607843137,0.9411764705882353,0.9921568627450981,0.6941176470588235,0.403921568627451,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3607843137254902,0.9921568627450981,0.5529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.7686274509803922,0.9882352941176471,0.9450980392156862,9.411764705882353e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5764705882352941,0.8823529411764706,0.3803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.10588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.9921568627450981,0.9882352941176471,0.7647058823529411,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.9882352941176471,0.9882352941176471,0.6980392156862745,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5490196078431373,0.9921568627450981,0.9882352941176471,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.9882352941176471,0.9882352941176471,0.5490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,0.796078431372549,0.9921568627450981,0.9882352941176471,0.21568627450980393,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.47058823529411764,0.9921568627450981,0.9921568627450981,0.5529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11372549019607843,0.9921568627450981,1.0,0.8431372549019608,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7725490196078432,0.9882352941176471,0.9882352941176471,0.5490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11372549019607843,0.9882352941176471,0.9921568627450981,0.16470588235294117,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7725490196078432,0.9882352941176471,0.9882352941176471,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.30980392156862746,0.9882352941176471,0.9921568627450981,0.10588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.9176470588235294,0.9882352941176471,0.9254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.9882352941176471,0.9882352941176471,0.6980392156862745,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3333333333333333,0.9882352941176471,0.9882352941176471,0.7411764705882353,0.5529411764705883,0.5490196078431373,0.5490196078431373,0.5490196078431373,0.5490196078431373,0.30980392156862746,0.18823529411764706,0.6470588235294118,0.9882352941176471,0.9882352941176471,0.5490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.33725490196078434,0.9921568627450981,0.9921568627450981,0.9921568627450981,1.0,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,1.0,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.5529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.9137254901960784,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9490196078431372,0.8392156862745098,0.8431372549019608,0.9529411764705882,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.5490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.29411764705882354,0.7647058823529411,0.7647058823529411,0.2196078431372549,0.21568627450980393,0.21568627450980393,0.19215686274509805,0.12156862745098039,0.12156862745098039,0.19607843137254902,0.8196078431372549,0.9882352941176471,0.8627450980392157,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.28627450980392155,0.9176470588235294,0.9882352941176471,0.4392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8823529411764706,0.9882352941176471,0.9882352941176471,0.4392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8862745098039215,0.9921568627450981,0.9921568627450981,0.4392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.396078431372549,0.9764705882352941,0.9882352941176471,0.9490196078431372,0.2901960784313726,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.44313725490196076,0.9882352941176471,0.9882352941176471,0.9647058823529412,0.34509803921568627,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.14901960784313725,0.9176470588235294,0.9882352941176471,0.6039215686274509,0.38823529411764707,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5725490196078431,0.9882352941176471,0.32941176470588235,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30196078431372547,0.996078431372549,0.403921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.796078431372549,0.9921568627450981,0.8509803921568627,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.7803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.3764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9686274509803922,0.28627450980392155,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13725490196078433,0.996078431372549,0.8980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6352941176470588,0.996078431372549,0.5098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9490196078431372,0.996078431372549,0.42745098039215684,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.39215686274509803,0.9882352941176471,0.9529411764705882,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.43137254901960786,0.9921568627450981,0.4980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4549019607843137,0.996078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.9098039215686274,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3843137254901961,0.9921568627450981,0.9254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6980392156862745,0.9921568627450981,0.43137254901960786,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8549019607843137,0.9921568627450981,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8549019607843137,0.6666666666666666,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11372549019607843,0.9019607843137255,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3333333333333333,0.9921568627450981,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.8666666666666667,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6274509803921569,0.7686274509803922,2.3529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10588235294117647,0.28627450980392155,0.615686274509804,0.6392156862745098,0.7647058823529411,0.6392156862745098,0.10588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23529411764705882,0.7215686274509804,0.9490196078431372,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6196078431372549,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.19607843137254902,0.7019607843137254,0.9725490196078431,0.9921568627450981,0.9921568627450981,0.8509803921568627,0.7725490196078432,0.4980392156862745,0.6470588235294118,0.9490196078431372,0.996078431372549,0.24705882352941178,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.4549019607843137,0.9176470588235294,0.9921568627450981,0.9803921568627451,0.6392156862745098,0.3137254901960784,0.0,0.0,0.0,0.0,0.7098039215686275,0.996078431372549,0.4235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4549019607843137,0.9921568627450981,0.996078431372549,0.8392156862745098,0.24313725490196078,0.0,0.0,0.0,0.0,0.0,0.0,0.7098039215686275,0.996078431372549,0.6274509803921569,5.0980392156862744e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.37254901960784315,0.996078431372549,0.996078431372549,0.7137254901960784,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.14901960784313725,0.8941176470588236,1.0,0.996078431372549,0.4980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,0.9921568627450981,0.788235294117647,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.21568627450980393,0.6745098039215687,0.9921568627450981,0.996078431372549,0.9921568627450981,0.16470588235294117,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,0.9921568627450981,0.8117647058823529,0.27058823529411763,0.1450980392156863,0.12549019607843137,6.274509803921569e-2,0.4,0.7294117647058823,0.9333333333333333,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.6274509803921569,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.33725490196078434,0.9764705882352941,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9607843137254902,0.8705882352941177,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3764705882352941,0.8901960784313725,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8627450980392157,0.5333333333333333,0.2823529411764706,0.4117647058823529,0.8392156862745098,0.9921568627450981,0.8941176470588236,4.7058823529411764e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23137254901960785,0.3568627450980392,0.1803921568627451,0.0,0.0,0.0,0.0,0.24705882352941178,0.996078431372549,0.996078431372549,0.3607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7019607843137254,0.9921568627450981,0.788235294117647,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10980392156862745,0.9215686274509803,0.9921568627450981,0.3333333333333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4980392156862745,0.9921568627450981,0.9333333333333333,6.274509803921569e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5686274509803921,0.9921568627450981,0.792156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1843137254901961,0.9450980392156862,0.996078431372549,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7137254901960784,0.9921568627450981,0.9607843137254902,0.3176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1803921568627451,0.996078431372549,0.9921568627450981,0.5411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6078431372549019,0.996078431372549,0.8745098039215686,0.2823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23137254901960785,0.7647058823529411,0.27450980392156865,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.4823529411764706,0.6352941176470588,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.32941176470588235,0.403921568627451,0.792156862745098,0.8823529411764706,0.3333333333333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.058823529411765e-2,0.1568627450980392,0.6705882352941176,0.8745098039215686,0.9411764705882353,0.9254901960784314,0.2901960784313726,0.22745098039215686,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.19215686274509805,0.25098039215686274,0.5254901960784314,0.9411764705882353,1.0,0.9921568627450981,0.6313725490196078,0.2235294117647059,5.4901960784313725e-2,0.1411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3843137254901961,0.8313725490196079,0.8352941176470589,0.9529411764705882,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7529411764705882,0.26666666666666666,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6274509803921569,0.9019607843137255,0.9058823529411765,0.9019607843137255,0.6235294117647059,0.3137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1411764705882353,0.32941176470588235,0.4745098039215686,0.10588235294117647,0.10588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.49411764705882355,0.3686274509803922,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3333333333333333,0.792156862745098,0.18823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.9294117647058824,0.9529411764705882,0.13725490196078433,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1411764705882353,0.7058823529411765,1.0,0.8235294117647058,0.7568627450980392,0.1450980392156863,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.24705882352941178,0.24705882352941178,0.7176470588235294,0.5568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5843137254901961,0.8,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.8823529411764706,5.4901960784313725e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.3686274509803922,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8627450980392157,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.6784313725490196,0.996078431372549,0.24705882352941178,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.49019607843137253,0.9921568627450981,0.8784313725490196,0.12549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.9921568627450981,0.7843137254901961,0.1411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.5098039215686274,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.7490196078431373,1.0,0.5019607843137255,0.5019607843137255,0.5019607843137255,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.5019607843137255,0.5019607843137255,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.7490196078431373,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.25098039215686274,0.5019607843137255,0.5019607843137255,0.5019607843137255,0.5019607843137255,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.7490196078431373,1.0,1.0,1.0,1.0,1.0,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,1.0,1.0,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,1.0,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,1.0,1.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,1.0,1.0,1.0,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,1.0,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,1.0,1.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,1.0,1.0,0.7490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7490196078431373,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,1.0,1.0,1.0,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,0.7490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7490196078431373,1.0,1.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,1.0,1.0,1.0,0.7490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,1.0,1.0,0.7490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,1.0,1.0,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.1843137254901961,0.1843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.4235294117647059,0.9764705882352941,0.9921568627450981,0.9921568627450981,0.8156862745098039,0.8117647058823529,0.8117647058823529,0.8117647058823529,0.5843137254901961,0.2549019607843137,5.0980392156862744e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.7215686274509804,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.8352941176470589,9.803921568627451e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.21568627450980393,0.796078431372549,0.996078431372549,0.996078431372549,0.7803921568627451,0.4980392156862745,0.4980392156862745,0.23529411764705882,0.36470588235294116,0.32941176470588235,0.26666666666666666,0.592156862745098,0.8705882352941177,0.996078431372549,0.6313725490196078,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5411764705882353,0.9921568627450981,0.9921568627450981,0.7803921568627451,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6078431372549019,0.9921568627450981,0.8274509803921568,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5411764705882353,0.9921568627450981,0.9921568627450981,6.666666666666667e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2901960784313726,0.9450980392156862,0.9921568627450981,0.8274509803921568,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4117647058823529,0.9921568627450981,0.9921568627450981,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.13333333333333333,0.8980392156862745,0.9921568627450981,0.9921568627450981,0.6274509803921569,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5843137254901961,0.996078431372549,0.8980392156862745,0.1568627450980392,0.0,0.0,0.0,0.14901960784313725,0.6,0.996078431372549,0.996078431372549,0.996078431372549,0.7058823529411765,9.803921568627451e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.7764705882352941,0.996078431372549,0.8117647058823529,3.529411764705882e-2,0.13333333333333333,0.2823529411764706,0.9215686274509803,0.9921568627450981,0.9921568627450981,0.8784313725490196,0.5450980392156862,5.0980392156862744e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.8274509803921568,0.9921568627450981,0.8431372549019608,0.9411764705882353,0.996078431372549,0.9921568627450981,0.9176470588235294,0.5019607843137255,6.666666666666667e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4,0.8980392156862745,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8941176470588236,0.30196078431372547,5.0980392156862744e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.27450980392156865,0.6666666666666666,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.4666666666666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10196078431372549,0.5098039215686274,0.9019607843137255,0.996078431372549,0.9921568627450981,0.9921568627450981,0.7254901960784313,0.45098039215686275,0.25098039215686274,0.8274509803921568,0.9921568627450981,0.9725490196078431,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6509803921568628,0.9098039215686274,0.9921568627450981,0.9921568627450981,0.9686274509803922,0.6352941176470588,0.1803921568627451,5.0980392156862744e-2,2.7450980392156862e-2,0.3568627450980392,0.9607843137254902,0.9921568627450981,0.996078431372549,0.2196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8235294117647058,0.36470588235294116,0.4980392156862745,0.6235294117647059,0.8,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8941176470588236,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5254901960784314,0.9450980392156862,0.996078431372549,1.0,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.8941176470588236,0.13333333333333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10588235294117647,0.45098039215686275,0.5490196078431373,0.807843137254902,0.807843137254902,0.807843137254902,0.8117647058823529,0.807843137254902,0.4823529411764706,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5568627450980392,0.996078431372549,0.8,0.6745098039215687,0.7803921568627451,0.5490196078431373,0.3568627450980392,0.10588235294117647,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.26666666666666666,0.8705882352941177,0.3176470588235294,0.2901960784313726,0.6,0.7254901960784313,0.9294117647058824,0.9294117647058824,0.9803921568627451,0.7607843137254902,0.11372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6509803921568628,0.7686274509803922,0.0,0.0,0.0,0.0,0.0,0.0,0.45098039215686275,0.3176470588235294,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8352941176470589,0.6235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.8627450980392157,0.45098039215686275,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13333333333333333,0.9647058823529412,0.5098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6588235294117647,0.9647058823529412,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.5411764705882353,0.27058823529411763,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5137254901960784,0.996078431372549,0.38823529411764707,0.0,0.0,0.0,0.0,0.7411764705882353,0.5450980392156862,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3215686274509804,0.996078431372549,0.4196078431372549,0.0,0.0,0.0,0.3333333333333333,0.8980392156862745,0.34901960784313724,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.7686274509803922,0.8941176470588236,4.3137254901960784e-2,0.0,0.0,0.6039215686274509,0.996078431372549,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.43137254901960786,0.996078431372549,0.5058823529411764,3.92156862745098e-3,3.529411764705882e-2,0.8117647058823529,1.0,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7568627450980392,0.996078431372549,0.7176470588235294,0.7372549019607844,0.6862745098039216,0.996078431372549,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.4549019607843137,0.5764705882352941,8.627450980392157e-2,0.5725490196078431,0.996078431372549,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.38823529411764707,0.996078431372549,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.38823529411764707,0.996078431372549,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6549019607843137,0.996078431372549,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5294117647058824,0.9098039215686274,3.137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.38823529411764707,0.984313725490196,0.20392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.38823529411764707,0.9647058823529412,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.49411764705882355,0.8980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.21568627450980393,0.7529411764705882,0.3411764705882353,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6627450980392157,0.9882352941176471,0.9921568627450981,0.6666666666666666,0.16862745098039217,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.43529411764705883,0.9764705882352941,0.9921568627450981,0.9882352941176471,0.9137254901960784,0.396078431372549,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.45098039215686275,0.8901960784313725,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.5411764705882353,0.10588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3411764705882353,0.4392156862745098,0.5764705882352941,0.9882352941176471,0.9882352941176471,0.5882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.5176470588235295,0.9686274509803922,1.0,0.49019607843137253,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6901960784313725,0.9921568627450981,0.7686274509803922,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.9921568627450981,0.9882352941176471,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3843137254901961,0.9921568627450981,0.9882352941176471,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.5176470588235295,0.9647058823529412,0.9921568627450981,0.7137254901960784,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5725490196078431,0.9921568627450981,0.8901960784313725,0.5803921568627451,0.5137254901960784,0.4823529411764706,0.788235294117647,0.9921568627450981,0.9921568627450981,0.8313725490196079,0.10588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6078431372549019,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9058823529411765,0.48627450980392156,0.10588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.2901960784313726,0.49411764705882355,0.8392156862745098,0.9254901960784314,0.9882352941176471,0.9882352941176471,0.5686274509803921,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.5490196078431373,0.9882352941176471,0.9058823529411765,0.10980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.19607843137254902,0.9568627450980393,0.9882352941176471,0.16470588235294117,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.48627450980392156,0.24313725490196078,0.0,0.0,0.0,0.0,0.0,0.19607843137254902,0.9607843137254902,0.9921568627450981,0.16470588235294117,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.32941176470588235,0.9490196078431372,0.10588235294117647,0.0,0.0,0.0,0.1411764705882353,0.5725490196078431,0.8274509803921568,0.9882352941176471,0.9882352941176471,0.16470588235294117,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.6901960784313725,0.9882352941176471,8.627450980392157e-2,8.627450980392157e-2,0.12156862745098039,0.4980392156862745,0.8745098039215686,0.9921568627450981,0.9882352941176471,0.9490196078431372,0.5254901960784314,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.7450980392156863,0.43137254901960786,0.16470588235294117,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.7137254901960784,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.6078431372549019,0.5764705882352941,0.23137254901960785,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.26666666666666666,0.7725490196078432,1.0,0.9490196078431372,0.5686274509803921,0.9254901960784314,0.8313725490196079,0.6627450980392157,0.5098039215686274,0.5098039215686274,0.5098039215686274,0.37254901960784315,0.4196078431372549,0.5098039215686274,0.3333333333333333,0.4549019607843137,0.27450980392156865,0.2980392156862745,2.7450980392156862e-2,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.49019607843137253,0.9725490196078431,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,4.7058823529411764e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23529411764705882,0.43529411764705883,0.43529411764705883,0.43529411764705883,0.43529411764705883,0.43529411764705883,0.43529411764705883,0.5411764705882353,0.9215686274509803,0.9215686274509803,0.9215686274509803,0.9450980392156862,0.9333333333333333,0.9450980392156862,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.23529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13333333333333333,7.058823529411765e-2,0.18823529411764706,0.9372549019607843,0.9921568627450981,0.9490196078431372,0.6666666666666666,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.42745098039215684,0.9921568627450981,0.9921568627450981,0.5529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2901960784313726,0.9411764705882353,0.9921568627450981,0.8588235294117647,0.23529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1843137254901961,0.33725490196078434,0.17254901960784313,0.17254901960784313,0.17254901960784313,4.3137254901960784e-2,0.0,0.29411764705882354,0.9372549019607843,0.9921568627450981,0.9254901960784314,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.8784313725490196,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7568627450980392,0.6823529411764706,0.9333333333333333,0.9921568627450981,0.9921568627450981,0.6784313725490196,0.19607843137254902,0.10980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.803921568627451e-2,0.807843137254902,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8666666666666667,0.7058823529411765,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.26666666666666666,0.5019607843137255,0.6078431372549019,0.9294117647058824,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.38823529411764707,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.9294117647058824,0.9921568627450981,0.9921568627450981,0.7764705882352941,0.5568627450980392,0.23921568627450981,0.23921568627450981,0.23921568627450981,0.23921568627450981,0.23921568627450981,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.8823529411764705e-2,0.6862745098039216,0.9921568627450981,0.9921568627450981,0.6196078431372549,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5882352941176471,0.9921568627450981,0.9921568627450981,0.3843137254901961,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30980392156862746,0.9411764705882353,0.9921568627450981,0.6235294117647059,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12941176470588237,0.9450980392156862,0.9921568627450981,0.803921568627451,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3411764705882353,0.9921568627450981,0.9176470588235294,0.23529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3176470588235294,0.9607843137254902,0.9921568627450981,0.3607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30980392156862746,0.9686274509803922,0.9921568627450981,0.9176470588235294,0.17647058823529413,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.058823529411765e-2,0.9764705882352941,0.9921568627450981,0.9254901960784314,0.20392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.9921568627450981,0.9921568627450981,0.6078431372549019,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8588235294117647,0.3176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8549019607843137,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.4745098039215686,4.3137254901960784e-2,0.0,0.0,0.8549019607843137,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.996078431372549,0.2823529411764706,0.0,0.0,0.8549019607843137,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.996078431372549,0.2823529411764706,0.0,0.0,0.8549019607843137,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4,0.996078431372549,0.38823529411764707,0.0,0.0,0.7568627450980392,0.6705882352941176,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5490196078431373,0.996078431372549,0.30980392156862746,0.0,0.0,0.5019607843137255,0.9215686274509803,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.8745098039215686,0.984313725490196,0.24313725490196078,0.0,0.0,0.5019607843137255,0.9215686274509803,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5176470588235295,0.996078431372549,0.9803921568627451,0.5294117647058824,0.43137254901960786,0.43137254901960786,0.8392156862745098,0.6431372549019608,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9254901960784314,0.996078431372549,0.996078431372549,0.996078431372549,1.0,0.996078431372549,0.996078431372549,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9294117647058824,0.996078431372549,0.7725490196078432,0.3333333333333333,0.23137254901960785,0.23137254901960785,0.9098039215686274,0.5686274509803921,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7254901960784313,0.2980392156862745,1.568627450980392e-2,0.0,0.0,0.12549019607843137,0.9333333333333333,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1411764705882353,0.9450980392156862,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.21568627450980393,0.996078431372549,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.21568627450980393,0.996078431372549,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3176470588235294,0.996078431372549,0.3411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5686274509803921,0.996078431372549,0.21176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5686274509803921,0.996078431372549,0.21176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5686274509803921,0.8823529411764706,4.7058823529411764e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4470588235294118,0.47058823529411764,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.396078431372549,0.5764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1568627450980392,0.9882352941176471,0.6862745098039216,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8352941176470589,0.9882352941176471,0.5176470588235295,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.5764705882352941,0.9803921568627451,0.5607843137254902,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3137254901960784,0.9882352941176471,0.3843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6470588235294118,0.8666666666666667,5.4901960784313725e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2901960784313726,0.9529411764705882,0.43137254901960786,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.4980392156862745,0.9254901960784314,0.9254901960784314,0.6784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.592156862745098,0.7725490196078432,0.0,0.0,0.0,0.0,0.0,0.0,0.23529411764705882,0.9254901960784314,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9725490196078431,0.23921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9490196078431372,0.6392156862745098,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.7803921568627451,0.9882352941176471,0.6588235294117647,0.25882352941176473,0.8313725490196079,0.9764705882352941,0.27058823529411763,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17254901960784313,0.8901960784313725,4.7058823529411764e-2,0.0,0.0,0.0,0.0,0.0,0.6941176470588235,0.9882352941176471,0.6509803921568628,7.84313725490196e-3,0.0,0.7764705882352941,0.9450980392156862,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6352941176470588,0.8509803921568627,0.0,0.0,0.0,0.0,0.0,0.24705882352941178,1.0,0.788235294117647,7.450980392156863e-2,0.0,0.0,0.592156862745098,0.9490196078431372,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8196078431372549,0.5843137254901961,0.0,0.0,0.0,0.0,0.0,0.7333333333333333,0.9921568627450981,0.30196078431372547,0.0,0.0,0.0,0.7764705882352941,0.6431372549019608,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8196078431372549,0.7333333333333333,0.0,0.0,0.0,0.0,0.0,0.8627450980392157,0.8862745098039215,5.0980392156862744e-2,0.0,0.0,0.1803921568627451,0.9529411764705882,0.5137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8196078431372549,0.4745098039215686,0.0,0.0,0.0,0.0,0.1607843137254902,0.9294117647058824,0.8274509803921568,0.0,0.0,4.7058823529411764e-2,0.807843137254902,0.9882352941176471,0.10196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8196078431372549,0.7529411764705882,0.0,0.0,0.0,0.0,0.3058823529411765,0.9882352941176471,0.43529411764705883,0.0,0.0,0.4666666666666667,0.9882352941176471,0.6666666666666666,3.137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8196078431372549,0.9019607843137255,0.0,0.0,0.0,0.0,0.3058823529411765,0.9882352941176471,0.43529411764705883,0.0,0.30980392156862746,0.9803921568627451,0.9882352941176471,0.21568627450980393,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4117647058823529,0.9803921568627451,0.5176470588235295,0.0,0.0,0.0,0.3058823529411765,0.9882352941176471,0.6431372549019608,0.1568627450980392,0.8666666666666667,0.9294117647058824,0.23529411764705882,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6862745098039216,0.9058823529411765,0.6039215686274509,5.0980392156862744e-2,0.0,0.3803921568627451,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.4745098039215686,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3607843137254902,0.8862745098039215,0.9882352941176471,0.7568627450980392,0.7333333333333333,0.9254901960784314,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.3411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1803921568627451,0.5568627450980392,0.9529411764705882,0.9882352941176471,0.8588235294117647,0.5568627450980392,0.615686274509804,0.8745098039215686,0.39215686274509803,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.7176470588235294,1.0,0.1803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34901960784313724,0.5333333333333333,0.9921568627450981,0.9098039215686274,0.11372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.396078431372549,0.9333333333333333,0.9921568627450981,0.9725490196078431,0.1803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.32941176470588235,0.17647058823529413,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.803921568627451,0.9921568627450981,0.9058823529411765,0.30980392156862746,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.21176470588235294,0.7254901960784313,0.9647058823529412,0.3058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.3333333333333333,0.33725490196078434,0.9019607843137255,0.7294117647058823,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10196078431372549,0.9137254901960784,0.6392156862745098,0.21568627450980393,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.24705882352941178,0.611764705882353,0.9058823529411765,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.5294117647058824,0.5568627450980392,0.8156862745098039,9.019607843137255e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8392156862745098,0.9921568627450981,0.5529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1843137254901961,0.9921568627450981,0.9921568627450981,0.2627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23137254901960785,0.8745098039215686,0.9921568627450981,0.5058823529411764,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1843137254901961,0.9921568627450981,0.9921568627450981,0.2627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.7372549019607844,0.9921568627450981,0.3333333333333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.27058823529411763,0.9921568627450981,0.9921568627450981,0.5764705882352941,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.1843137254901961,0.14901960784313725,0.9372549019607843,0.803921568627451,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.26666666666666666,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7686274509803922,0.38823529411764707,4.7058823529411764e-2,0.0,0.0,0.23921568627450981,0.23137254901960785,0.7333333333333333,0.8431372549019608,0.984313725490196,0.6862745098039216,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-3,0.48627450980392156,0.9882352941176471,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9803921568627451,0.9764705882352941,0.9764705882352941,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4588235294117647,0.7607843137254902,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9215686274509803,0.7803921568627451,0.9921568627450981,0.9921568627450981,0.6666666666666666,0.1843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.10196078431372549,0.5803921568627451,0.49019607843137253,5.8823529411764705e-2,5.8823529411764705e-2,4.7058823529411764e-2,2.3529411764705882e-2,0.21176470588235294,0.9921568627450981,0.7215686274509804,0.15294117647058825,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.7058823529411764e-2,0.6941176470588235,0.9921568627450981,0.2823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5450980392156862,0.9294117647058824,0.9921568627450981,0.2823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7607843137254902,0.9921568627450981,0.9098039215686274,9.411764705882353e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.796078431372549,0.7294117647058823,0.5215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9764705882352941,0.6549019607843137,0.3607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5098039215686274,4.7058823529411764e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.5019607843137255,0.5019607843137255,0.5019607843137255,1.0,0.5019607843137255,1.0,0.7490196078431373,0.5019607843137255,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,1.0,1.0,0.7490196078431373,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.5019607843137255,0.5019607843137255,0.5019607843137255,0.5019607843137255,0.25098039215686274,0.0,0.5019607843137255,0.7490196078431373,1.0,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,1.0,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.5019607843137255,0.5019607843137255,0.7490196078431373,1.0,1.0,1.0,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,1.0,1.0,1.0,1.0,1.0,1.0,0.7490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,1.0,1.0,1.0,1.0,1.0,1.0,0.7490196078431373,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.7490196078431373,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7490196078431373,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.7490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,0.5019607843137255,0.5019607843137255,0.5019607843137255,0.5019607843137255,1.0,1.0,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,1.0,1.0,1.0,0.7490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.0,0.0,0.0,0.0,1.0,1.0,1.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,1.0,0.7490196078431373,0.0,0.25098039215686274,1.0,1.0,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,0.7490196078431373,1.0,1.0,0.7490196078431373,1.0,1.0,1.0,1.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7490196078431373,1.0,1.0,1.0,0.5019607843137255,0.25098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.43529411764705883,0.8509803921568627,0.9098039215686274,0.5176470588235295,0.2235294117647059,0.3607843137254902,0.3607843137254902,0.3607843137254902,0.3607843137254902,0.16862745098039217,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.6235294117647059,0.9882352941176471,0.996078431372549,0.996078431372549,0.996078431372549,0.9882352941176471,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.984313725490196,0.5372549019607843,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.803921568627451,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9176470588235294,0.7843137254901961,0.5215686274509804,0.5215686274509804,0.7725490196078432,0.9490196078431372,0.996078431372549,0.6980392156862745,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.8784313725490196,0.996078431372549,0.8784313725490196,0.7843137254901961,0.48627450980392156,0.5411764705882353,0.7843137254901961,0.12549019607843137,0.0,0.0,0.0,0.0,0.14901960784313725,0.7058823529411765,0.996078431372549,0.5058823529411764,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.8745098039215686,0.996078431372549,0.9372549019607843,0.12941176470588237,1.568627450980392e-2,0.0,0.0,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.9215686274509803,0.9411764705882353,0.44313725490196076,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.4666666666666667,0.996078431372549,0.9764705882352941,0.2627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.32941176470588235,0.996078431372549,0.996078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.24705882352941178,0.996078431372549,0.996078431372549,0.3843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.26666666666666666,0.996078431372549,0.996078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8156862745098039,0.996078431372549,0.9254901960784314,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.26666666666666666,0.996078431372549,0.996078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9882352941176471,0.4588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.28627450980392155,0.996078431372549,0.9725490196078431,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9568627450980393,0.1803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5019607843137255,0.996078431372549,0.7607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.996078431372549,0.2627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.9686274509803922,0.996078431372549,0.5529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.996078431372549,0.2901960784313726,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.2980392156862745,0.8705882352941177,0.996078431372549,0.9098039215686274,0.1411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6392156862745098,0.996078431372549,0.996078431372549,0.37254901960784315,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1568627450980392,0.44313725490196076,0.7529411764705882,0.996078431372549,0.996078431372549,0.8117647058823529,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11764705882352941,0.8705882352941177,0.996078431372549,0.9725490196078431,0.7254901960784313,0.5254901960784314,0.38823529411764707,0.24313725490196078,0.5254901960784314,0.5254901960784314,0.5254901960784314,0.7843137254901961,0.9529411764705882,0.996078431372549,0.996078431372549,0.9137254901960784,0.5450980392156862,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10980392156862745,0.6352941176470588,0.9882352941176471,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9725490196078431,0.49411764705882355,0.10588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.21568627450980393,0.6745098039215687,0.7294117647058823,0.7294117647058823,0.8313725490196079,0.7294117647058823,0.7294117647058823,0.7294117647058823,0.47843137254901963,0.3568627450980392,0.20784313725490197,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,5.0980392156862744e-2,5.0980392156862744e-2,0.17254901960784313,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8705882352941177,0.984313725490196,0.984313725490196,0.984313725490196,0.8980392156862745,0.9568627450980393,0.984313725490196,0.984313725490196,0.9882352941176471,0.8117647058823529,0.8156862745098039,0.9450980392156862,0.9176470588235294,0.7176470588235294,0.5019607843137255,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7098039215686275,0.9921568627450981,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9764705882352941,0.7176470588235294,0.6274509803921569,0.39215686274509803,9.411764705882353e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.7058823529411764e-2,5.0980392156862744e-2,5.0980392156862744e-2,5.0980392156862744e-2,5.0980392156862744e-2,5.0980392156862744e-2,5.0980392156862744e-2,0.34509803921568627,0.38823529411764707,0.5529411764705883,0.45098039215686275,0.5411764705882353,0.9372549019607843,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,1.0,0.41568627450980394,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.21176470588235294,0.6588235294117647,0.9294117647058824,0.996078431372549,0.996078431372549,0.9764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.21176470588235294,0.9294117647058824,0.996078431372549,0.996078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10588235294117647,0.8745098039215686,0.996078431372549,0.6901960784313725,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5725490196078431,1.0,0.996078431372549,0.4117647058823529,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16470588235294117,0.8705882352941177,0.996078431372549,0.6235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10196078431372549,0.8745098039215686,0.996078431372549,0.9333333333333333,0.2549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10588235294117647,0.8235294117647058,0.996078431372549,0.9921568627450981,0.30196078431372547,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.7490196078431373,0.996078431372549,0.9882352941176471,0.3607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5450980392156862,0.996078431372549,0.996078431372549,0.7333333333333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.29411764705882354,0.9529411764705882,0.996078431372549,0.7450980392156863,5.4901960784313725e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.411764705882353e-2,0.8941176470588236,0.996078431372549,0.8980392156862745,0.13725490196078433,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.411764705882353e-2,0.8156862745098039,0.996078431372549,0.996078431372549,0.2196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.7647058823529411,0.996078431372549,0.996078431372549,0.5294117647058824,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.43137254901960786,0.996078431372549,0.996078431372549,0.6470588235294118,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7568627450980392,0.996078431372549,0.6980392156862745,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.26666666666666666,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.33725490196078434,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.5294117647058824,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.35294117647058826,0.9803921568627451,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9882352941176471,0.9725490196078431,0.6274509803921569,0.4627450980392157,0.17647058823529413,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8470588235294118,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9098039215686274,0.403921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5647058823529412,0.984313725490196,0.9921568627450981,0.9921568627450981,0.8784313725490196,0.18823529411764706,0.19215686274509805,0.6666666666666666,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.37254901960784315,0.984313725490196,0.9921568627450981,0.9921568627450981,0.7137254901960784,7.058823529411765e-2,0.0,0.0,2.3529411764705882e-2,0.19215686274509805,0.6666666666666666,0.9921568627450981,0.9921568627450981,0.984313725490196,0.5843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34509803921568627,0.8823529411764706,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.23921568627450981,0.0,0.0,0.0,0.0,0.0,0.10196078431372549,0.8666666666666667,0.9921568627450981,0.9921568627450981,0.9607843137254902,0.16470588235294117,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1568627450980392,0.9607843137254902,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.5372549019607843,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.16470588235294117,0.8666666666666667,0.9921568627450981,0.9921568627450981,0.4588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4627450980392157,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8823529411764706,0.10588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.611764705882353,0.9921568627450981,0.9921568627450981,0.4588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4627450980392157,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.22745098039215686,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.611764705882353,0.9921568627450981,0.9921568627450981,0.4588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.592156862745098,0.9921568627450981,0.9921568627450981,0.6941176470588235,3.137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.611764705882353,0.9921568627450981,0.9921568627450981,0.8509803921568627,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9725490196078431,0.9921568627450981,0.9921568627450981,0.22745098039215686,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.611764705882353,0.9921568627450981,0.9921568627450981,0.9686274509803922,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6039215686274509,0.9921568627450981,0.9921568627450981,0.47058823529411764,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.611764705882353,0.9921568627450981,0.9921568627450981,0.8627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8156862745098039,0.9921568627450981,0.9921568627450981,0.6078431372549019,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.6823529411764706,0.9921568627450981,0.9921568627450981,0.4588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6274509803921569,0.9921568627450981,0.9921568627450981,0.6078431372549019,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.5254901960784314,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.4588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4627450980392157,0.9921568627450981,0.9921568627450981,0.6078431372549019,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.2627450980392157,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9882352941176471,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17647058823529413,0.9647058823529412,0.9921568627450981,0.8470588235294118,0.12941176470588237,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.10588235294117647,0.5254901960784314,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.984313725490196,0.5803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9450980392156862,0.9921568627450981,0.9921568627450981,0.8470588235294118,0.1568627450980392,0.5019607843137255,0.5882352941176471,0.5882352941176471,0.6823529411764706,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.984313725490196,0.8431372549019608,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4117647058823529,0.9529411764705882,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8980392156862745,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9803921568627451,0.9921568627450981,0.9921568627450981,0.8666666666666667,0.8235294117647058,0.611764705882353,0.7176470588235294,0.4588235294117647,0.17647058823529413,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6313725490196078,0.5450980392156862,0.9176470588235294,0.3254901960784314,0.4823529411764706,0.4823529411764706,0.37254901960784315,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1843137254901961,0.5333333333333333,0.9450980392156862,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,1.0,0.792156862745098,0.5098039215686274,3.137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12941176470588237,0.8941176470588236,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9058823529411765,0.5294117647058824,0.7490196078431373,0.8549019607843137,0.9176470588235294,0.9921568627450981,0.7647058823529411,0.21176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.9411764705882353,0.9921568627450981,0.9921568627450981,0.9882352941176471,0.7411764705882353,0.12156862745098039,0.0,0.0,0.0,0.1450980392156863,0.5686274509803921,0.9921568627450981,0.6980392156862745,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3215686274509804,0.7137254901960784,0.7137254901960784,0.26666666666666666,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.5529411764705883,0.9921568627450981,0.6196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.7137254901960784,0.9450980392156862,0.3333333333333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4588235294117647,0.9921568627450981,0.6666666666666666,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.18823529411764706,0.9921568627450981,0.6666666666666666,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.18823529411764706,0.9921568627450981,0.6666666666666666,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4823529411764706,0.9921568627450981,0.6666666666666666,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6509803921568628,0.9921568627450981,0.34509803921568627,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.7529411764705882,0.796078431372549,4.7058823529411764e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.4470588235294118,0.9921568627450981,0.7372549019607844,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.7058823529411764e-2,0.9921568627450981,0.9921568627450981,0.3176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.21176470588235294,0.5098039215686274,6.666666666666667e-2,2.3529411764705882e-2,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.7411764705882353,0.9921568627450981,0.5725490196078431,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.6941176470588235,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7607843137254902,0.5803921568627451,0.4745098039215686,2.7450980392156862e-2,0.0,0.4980392156862745,0.9921568627450981,0.9254901960784314,0.1450980392156863,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.411764705882353e-2,0.7215686274509804,0.9921568627450981,0.8431372549019608,0.4,0.788235294117647,0.8235294117647058,0.9921568627450981,0.9921568627450981,0.7294117647058823,0.6509803921568628,0.9647058823529412,0.984313725490196,0.4980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1411764705882353,0.9921568627450981,0.792156862745098,5.0980392156862744e-2,0.0,0.0,2.7450980392156862e-2,0.35294117647058826,0.9176470588235294,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9450980392156862,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1411764705882353,0.9921568627450981,0.9372549019607843,0.4117647058823529,3.92156862745098e-2,0.0,0.1843137254901961,0.615686274509804,0.9333333333333333,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.984313725490196,0.5176470588235295,0.11372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.6823529411764706,0.9921568627450981,0.9921568627450981,0.8745098039215686,0.8588235294117647,0.9333333333333333,0.9921568627450981,0.9921568627450981,0.8745098039215686,0.21176470588235294,0.34509803921568627,0.984313725490196,0.9921568627450981,0.5254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.19607843137254902,0.9098039215686274,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9176470588235294,0.4235294117647059,4.7058823529411764e-2,0.0,0.0,0.3254901960784314,0.9921568627450981,0.9803921568627451,0.4745098039215686,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17647058823529413,0.6039215686274509,0.8156862745098039,0.9725490196078431,0.9019607843137255,0.996078431372549,1.0,0.5411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1568627450980392,0.803921568627451,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.8352941176470589,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.8235294117647058,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9254901960784314,0.996078431372549,0.996078431372549,0.996078431372549,0.49019607843137253,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3843137254901961,0.996078431372549,0.996078431372549,0.996078431372549,0.596078431372549,0.1568627450980392,0.10196078431372549,0.592156862745098,0.996078431372549,0.996078431372549,0.6588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6509803921568628,0.996078431372549,0.996078431372549,0.792156862745098,0.17254901960784313,0.0,3.92156862745098e-2,0.8117647058823529,0.996078431372549,0.996078431372549,0.803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.20784313725490197,0.9882352941176471,0.996078431372549,0.9490196078431372,0.3254901960784314,0.5333333333333333,0.7058823529411765,0.996078431372549,0.996078431372549,0.996078431372549,0.49019607843137253,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7411764705882353,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.24705882352941178,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.2196078431372549,0.8196078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.788235294117647,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34509803921568627,0.8941176470588236,0.996078431372549,0.996078431372549,0.996078431372549,0.9333333333333333,0.3607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.403921568627451,0.9725490196078431,0.996078431372549,0.996078431372549,0.996078431372549,0.23921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3568627450980392,0.9725490196078431,0.996078431372549,0.996078431372549,0.9921568627450981,0.6509803921568628,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.39215686274509803,0.9019607843137255,0.996078431372549,0.996078431372549,0.6666666666666666,0.44313725490196076,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.37254901960784315,0.9921568627450981,0.996078431372549,0.996078431372549,0.8980392156862745,6.274509803921569e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.37254901960784315,0.8901960784313725,0.996078431372549,0.996078431372549,0.996078431372549,0.5215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.14901960784313725,0.8941176470588236,0.996078431372549,0.996078431372549,0.996078431372549,0.792156862745098,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7568627450980392,0.996078431372549,0.996078431372549,0.996078431372549,0.792156862745098,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3568627450980392,0.9647058823529412,0.996078431372549,0.996078431372549,0.9490196078431372,0.35294117647058826,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13725490196078433,0.9490196078431372,0.996078431372549,0.996078431372549,0.996078431372549,0.5529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8392156862745098,0.996078431372549,0.996078431372549,0.7254901960784313,9.019607843137255e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7176470588235294,0.996078431372549,0.9686274509803922,9.411764705882353e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.019607843137255e-2,0.8588235294117647,1.0,0.4117647058823529,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16470588235294117,0.9921568627450981,0.9921568627450981,0.6196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2627450980392157,0.9921568627450981,0.9921568627450981,0.6196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6274509803921569,0.9921568627450981,0.9921568627450981,0.6196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6274509803921569,0.9921568627450981,0.9921568627450981,0.6196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6274509803921569,0.9921568627450981,0.9921568627450981,0.6196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6274509803921569,0.9921568627450981,0.9921568627450981,0.6196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6274509803921569,0.9921568627450981,0.9921568627450981,0.6196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.33725490196078434,0.9921568627450981,0.9921568627450981,0.8549019607843137,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16470588235294117,0.9921568627450981,0.9921568627450981,0.9921568627450981,9.019607843137255e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16470588235294117,0.9921568627450981,0.9921568627450981,0.9921568627450981,9.019607843137255e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16470588235294117,0.9921568627450981,0.9921568627450981,0.9921568627450981,9.019607843137255e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16470588235294117,0.9921568627450981,0.9921568627450981,0.9921568627450981,9.019607843137255e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16470588235294117,0.9921568627450981,0.9921568627450981,0.803921568627451,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16470588235294117,0.9921568627450981,0.9921568627450981,0.6196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.9921568627450981,0.9921568627450981,0.6196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.7058823529411764e-2,0.796078431372549,0.9921568627450981,0.9921568627450981,0.2901960784313726,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6274509803921569,0.9921568627450981,0.7529411764705882,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.9450980392156862,0.9921568627450981,0.6901960784313725,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.43529411764705883,0.6666666666666666,0.5843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.14901960784313725,0.8862745098039215,0.8392156862745098,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,9.803921568627451e-2,9.803921568627451e-2,7.450980392156863e-2,0.0,0.0,0.0,4.3137254901960784e-2,9.803921568627451e-2,5.0980392156862744e-2,9.803921568627451e-2,9.803921568627451e-2,0.18823529411764706,0.8745098039215686,0.9921568627450981,0.9607843137254902,0.12549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5686274509803921,0.9921568627450981,0.9921568627450981,0.9019607843137255,0.2549019607843137,0.5294117647058824,0.615686274509804,0.7803921568627451,0.9921568627450981,0.8196078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4627450980392157,0.8313725490196079,0.8666666666666667,0.803921568627451,0.8588235294117647,0.9019607843137255,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7098039215686275,6.274509803921569e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,9.411764705882353e-2,0.0,8.235294117647059e-2,0.14901960784313725,0.2823529411764706,0.2823529411764706,0.2823529411764706,0.2823529411764706,0.2823529411764706,0.7215686274509804,0.9921568627450981,0.9372549019607843,0.1803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.7254901960784313,0.9921568627450981,0.396078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.48627450980392156,0.9921568627450981,0.9921568627450981,0.2823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5686274509803921,0.9921568627450981,0.9215686274509803,0.17647058823529413,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.37254901960784315,0.43137254901960786,0.43137254901960786,0.43137254901960786,0.7529411764705882,0.9921568627450981,0.9764705882352941,0.5607843137254902,0.43137254901960786,0.43137254901960786,0.6549019607843137,0.24705882352941178,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3215686274509804,0.9882352941176471,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.3411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4117647058823529,0.9058823529411765,0.9490196078431372,0.9568627450980393,0.996078431372549,0.996078431372549,0.9647058823529412,0.7215686274509804,0.5843137254901961,0.3176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.9921568627450981,0.9803921568627451,0.2980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.9921568627450981,0.8509803921568627,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3686274509803922,0.9921568627450981,0.8509803921568627,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5215686274509804,0.9921568627450981,0.8509803921568627,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8862745098039215,0.9921568627450981,0.7137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.3764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.3764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.3764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3176470588235294,0.9490196078431372,0.2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.21176470588235294,0.6862745098039216,0.9019607843137255,0.996078431372549,0.5176470588235295,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25882352941176473,0.9254901960784314,0.8196078431372549,0.9607843137254902,0.996078431372549,0.9490196078431372,0.23137254901960785,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.9254901960784314,0.807843137254902,0.20784313725490197,0.12941176470588237,0.5764705882352941,0.996078431372549,0.5882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7098039215686275,0.8549019607843137,3.137254901960784e-2,0.0,0.0,0.12549019607843137,0.9490196078431372,0.44313725490196076,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2823529411764706,0.4117647058823529,7.84313725490196e-3,0.0,0.0,0.12549019607843137,0.9254901960784314,0.29411764705882354,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,0.6274509803921569,0.8705882352941177,0.3137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.8431372549019608,0.996078431372549,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.24313725490196078,0.8509803921568627,0.996078431372549,0.6784313725490196,9.411764705882353e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.5607843137254902,0.9803921568627451,0.996078431372549,0.9607843137254902,0.17254901960784313,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5137254901960784,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.7529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17647058823529413,0.8784313725490196,0.9372549019607843,0.6431372549019608,0.8980392156862745,0.592156862745098,0.6862745098039216,0.49411764705882355,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10980392156862745,0.8941176470588236,0.996078431372549,0.6666666666666666,0.17647058823529413,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.5803921568627451,0.996078431372549,0.5254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.8627450980392157,0.7019607843137254,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7215686274509804,0.9372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.996078431372549,0.6039215686274509,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13725490196078433,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.3411764705882353,0.8117647058823529,0.996078431372549,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.7058823529411764e-2,0.6352941176470588,0.47058823529411764,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.5803921568627451,0.996078431372549,0.996078431372549,0.6823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10980392156862745,0.9607843137254902,0.8156862745098039,0.1411764705882353,4.7058823529411764e-2,9.411764705882353e-2,0.34901960784313724,0.8823529411764706,0.996078431372549,0.996078431372549,0.7764705882352941,6.666666666666667e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7411764705882353,1.0,0.9686274509803922,0.9450980392156862,0.9568627450980393,0.996078431372549,1.0,0.9176470588235294,0.3137254901960784,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.1450980392156863,0.5019607843137255,0.5490196078431373,0.5490196078431373,0.5490196078431373,0.22745098039215686,6.274509803921569e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1843137254901961,0.4627450980392157,0.7607843137254902,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8431372549019608,0.3137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4,0.7764705882352941,0.9921568627450981,0.8980392156862745,0.6078431372549019,0.12941176470588237,7.84313725490196e-2,7.84313725490196e-2,0.16470588235294117,0.48627450980392156,0.984313725490196,0.9686274509803922,0.6352941176470588,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.24705882352941178,0.9254901960784314,0.9529411764705882,0.4117647058823529,2.3529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.4117647058823529,0.9921568627450981,0.9568627450980393,0.2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9490196078431372,0.9921568627450981,0.49411764705882355,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.7803921568627451,0.9921568627450981,0.2823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.9921568627450981,0.4470588235294118,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7529411764705882,0.9921568627450981,0.2823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.403921568627451,0.25098039215686274,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13725490196078433,0.9568627450980393,0.8901960784313725,4.7058823529411764e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4980392156862745,0.9921568627450981,0.5372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.47058823529411764,0.9921568627450981,0.5568627450980392,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.27058823529411763,0.9921568627450981,0.8352941176470589,0.10588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.47058823529411764,0.9019607843137255,0.7176470588235294,0.10980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.6274509803921569,0.9803921568627451,0.7058823529411765,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7607843137254902,0.9921568627450981,0.8117647058823529,0.30980392156862746,6.274509803921569e-2,0.12549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,7.058823529411765e-2,0.1843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.6039215686274509,0.9803921568627451,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9137254901960784,0.9215686274509803,0.8745098039215686,0.8941176470588236,0.8941176470588236,0.8941176470588236,0.788235294117647,0.5058823529411764,0.9176470588235294,0.9529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.27058823529411763,0.9921568627450981,0.5098039215686274,0.3254901960784314,0.3254901960784314,0.3254901960784314,0.3254901960784314,0.27058823529411763,0.5529411764705883,0.5607843137254902,0.6039215686274509,0.3568627450980392,0.8392156862745098,0.5607843137254902,0.8980392156862745,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.1411764705882353,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.8823529411764705e-2,0.0,9.019607843137255e-2,0.1411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.27450980392156865,0.792156862745098,1.0,0.49411764705882355,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2823529411764706,0.9372549019607843,0.9921568627450981,0.9921568627450981,0.9921568627450981,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.9490196078431372,0.9921568627450981,0.7568627450980392,0.6509803921568628,0.9921568627450981,5.0980392156862744e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.20392156862745098,0.792156862745098,0.9921568627450981,0.7058823529411765,2.7450980392156862e-2,0.23529411764705882,0.9921568627450981,0.4666666666666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2823529411764706,0.8274509803921568,0.9725490196078431,0.403921568627451,5.4901960784313725e-2,0.0,0.23529411764705882,0.9921568627450981,0.6,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25882352941176473,0.9568627450980393,0.9803921568627451,0.5254901960784314,0.0,3.529411764705882e-2,0.4823529411764706,0.9137254901960784,0.9921568627450981,0.6862745098039216,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,0.9098039215686274,0.9921568627450981,0.5725490196078431,0.20392156862745098,0.615686274509804,0.9137254901960784,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.20392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.21176470588235294,0.9607843137254902,0.9921568627450981,0.8156862745098039,0.9764705882352941,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8627450980392157,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8627450980392157,0.9921568627450981,0.9921568627450981,0.9411764705882353,0.9921568627450981,0.9921568627450981,0.9882352941176471,0.7294117647058823,5.0980392156862744e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.3607843137254902,0.3607843137254902,0.1843137254901961,0.9921568627450981,0.9921568627450981,0.5450980392156862,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6431372549019608,0.9921568627450981,0.5529411764705883,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3215686274509804,0.9882352941176471,0.9921568627450981,0.21176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6196078431372549,0.9921568627450981,0.8509803921568627,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1568627450980392,0.9490196078431372,0.9686274509803922,0.30196078431372547,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6,0.9921568627450981,0.8862745098039215,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.8745098039215686,0.9921568627450981,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.9921568627450981,0.9921568627450981,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4627450980392157,0.9921568627450981,0.9921568627450981,0.22745098039215686,0.4627450980392157,0.21176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9333333333333333,0.15294117647058825,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.6705882352941176,0.9921568627450981,0.7843137254901961,0.26666666666666666,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.4627450980392157,0.8117647058823529,0.996078431372549,0.996078431372549,0.996078431372549,1.0,0.996078431372549,0.5411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2901960784313726,0.4549019607843137,0.9176470588235294,0.9176470588235294,0.9176470588235294,0.9176470588235294,0.9372549019607843,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8941176470588236,0.1450980392156863,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11372549019607843,0.7490196078431373,0.9568627450980393,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.3764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3803921568627451,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8705882352941177,9.019607843137255e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.32941176470588235,0.9725490196078431,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9568627450980393,0.8588235294117647,0.8588235294117647,0.5686274509803921,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8313725490196079,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.33725490196078434,0.5137254901960784,0.8666666666666667,0.403921568627451,0.403921568627451,0.403921568627451,0.403921568627451,0.29411764705882354,0.0,0.0,5.8823529411764705e-2,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8313725490196079,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.33725490196078434,0.7843137254901961,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.5529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.796078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.5215686274509804,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.803921568627451e-2,0.7647058823529411,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.21176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.803921568627451e-2,0.7607843137254902,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8823529411764706,0.5450980392156862,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7450980392156863,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9019607843137255,0.1843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3411764705882353,0.9568627450980393,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9764705882352941,0.1803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.5647058823529412,0.984313725490196,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9764705882352941,0.6470588235294118,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3215686274509804,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.34901960784313724,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34901960784313724,0.9725490196078431,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.592156862745098,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.36470588235294116,0.9529411764705882,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7568627450980392,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7529411764705882,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9058823529411765,0.2549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3411764705882353,0.9411764705882353,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8313725490196079,0.10196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6313725490196078,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.3058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,0.48627450980392156,0.9921568627450981,0.4666666666666667,4.7058823529411764e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4823529411764706,0.6823529411764706,0.2,5.4901960784313725e-2,0.0,3.137254901960784e-2,0.3058823529411765,0.9254901960784314,0.19215686274509805,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.8274509803921568,0.7450980392156863,0.788235294117647,0.9882352941176471,0.9882352941176471,0.6392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9686274509803922,0.14901960784313725,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2784313725490196,0.9921568627450981,0.9882352941176471,0.3843137254901961,0.6039215686274509,0.8431372549019608,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.16470588235294117,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.41568627450980394,0.9921568627450981,0.9882352941176471,8.235294117647059e-2,0.0,7.058823529411765e-2,0.16470588235294117,0.16470588235294117,0.9254901960784314,0.9882352941176471,0.16470588235294117,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4196078431372549,1.0,0.9921568627450981,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.9137254901960784,0.9921568627450981,0.23529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.41568627450980394,0.9921568627450981,0.9882352941176471,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.9098039215686274,0.9882352941176471,0.5764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.41568627450980394,0.9921568627450981,0.9882352941176471,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.9098039215686274,0.9882352941176471,0.5764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3137254901960784,0.8901960784313725,0.9882352941176471,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.9098039215686274,0.9882352941176471,0.5764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16470588235294117,0.5764705882352941,4.7058823529411764e-2,0.0,0.0,0.0,0.0,0.9098039215686274,0.9882352941176471,0.5764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9137254901960784,0.9921568627450981,0.5764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9098039215686274,0.9882352941176471,0.5764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9098039215686274,0.9882352941176471,0.5764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9098039215686274,0.9882352941176471,0.5764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9098039215686274,0.9882352941176471,0.5764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9137254901960784,0.9921568627450981,0.8196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9098039215686274,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9098039215686274,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9098039215686274,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1843137254901961,0.8509803921568627,0.6431372549019608,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30980392156862746,0.6588235294117647,0.5490196078431373,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3215686274509804,0.7764705882352941,0.9529411764705882,0.996078431372549,0.996078431372549,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.34509803921568627,0.9921568627450981,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.19607843137254902,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.8117647058823529,0.5254901960784314,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.6901960784313725,0.996078431372549,0.996078431372549,0.9333333333333333,0.4117647058823529,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5686274509803921,1.0,0.996078431372549,0.984313725490196,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.8392156862745098,0.996078431372549,0.8823529411764706,0.1843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7803921568627451,0.996078431372549,0.984313725490196,0.403921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9215686274509803,1.0,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9215686274509803,0.996078431372549,0.5254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2627450980392157,0.984313725490196,0.8862745098039215,0.1568627450980392,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.39215686274509803,0.7725490196078432,0.6705882352941176,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.27450980392156865,0.984313725490196,0.7098039215686275,0.0,0.0,0.0,0.0,0.29411764705882354,0.9764705882352941,0.996078431372549,0.996078431372549,0.996078431372549,0.403921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9215686274509803,0.7098039215686275,0.0,0.0,0.0,7.450980392156863e-2,0.8666666666666667,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9215686274509803,0.7098039215686275,0.0,0.0,0.0,0.4235294117647059,0.996078431372549,0.996078431372549,0.9568627450980393,0.6549019607843137,0.8470588235294118,0.9176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9215686274509803,0.8,3.92156862745098e-2,0.0,7.84313725490196e-3,0.7294117647058823,0.996078431372549,0.9490196078431372,0.28627450980392155,3.92156862745098e-2,0.803921568627451,0.9176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8862745098039215,1.0,0.5254901960784314,3.137254901960784e-2,2.3529411764705882e-2,0.996078431372549,0.996078431372549,0.4666666666666667,0.0,0.3607843137254902,0.996078431372549,0.6823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.403921568627451,0.996078431372549,0.996078431372549,0.6862745098039216,0.2823529411764706,0.996078431372549,0.996078431372549,0.5764705882352941,0.4117647058823529,0.9803921568627451,0.996078431372549,0.10196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.7098039215686275,0.9921568627450981,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.7176470588235294,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5254901960784314,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9176470588235294,0.7215686274509804,0.10588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.2823529411764706,0.9333333333333333,0.9137254901960784,0.5882352941176471,0.5215686274509804,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,7.058823529411765e-2,7.058823529411765e-2,0.21568627450980393,0.5372549019607843,0.7529411764705882,0.5137254901960784,3.137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,0.37254901960784315,0.6431372549019608,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.6980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.592156862745098,0.8117647058823529,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.8823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7450980392156863,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.8196078431372549,0.6078431372549019,0.2549019607843137,0.2549019607843137,0.5803921568627451,0.996078431372549,0.9686274509803922,0.25882352941176473,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.27058823529411763,0.9333333333333333,0.996078431372549,0.6509803921568628,0.1843137254901961,7.058823529411765e-2,0.0,0.0,0.0,0.4470588235294118,0.996078431372549,0.996078431372549,0.34901960784313724,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.411764705882353e-2,0.11372549019607843,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.4470588235294118,0.996078431372549,0.996078431372549,0.34901960784313724,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.9803921568627451,0.996078431372549,0.34901960784313724,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4470588235294118,0.996078431372549,0.996078431372549,0.34901960784313724,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7372549019607844,0.996078431372549,0.9803921568627451,0.2901960784313726,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2627450980392157,0.9725490196078431,0.996078431372549,0.8823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7333333333333333,0.996078431372549,0.984313725490196,0.4,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11372549019607843,0.8980392156862745,0.996078431372549,0.9529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10588235294117647,0.8274509803921568,0.996078431372549,0.996078431372549,0.9529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.1803921568627451,0.8941176470588236,0.9803921568627451,0.9803921568627451,0.9803921568627451,0.9803921568627451,0.984313725490196,0.996078431372549,0.996078431372549,0.996078431372549,0.2549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.26666666666666666,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,1.0,0.996078431372549,0.996078431372549,0.996078431372549,0.5686274509803921,0.10588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1803921568627451,0.8862745098039215,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9568627450980393,0.3137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6039215686274509,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9372549019607843,0.3843137254901961,0.6666666666666666,0.8549019607843137,0.996078431372549,0.996078431372549,0.9450980392156862,0.6039215686274509,5.4901960784313725e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6039215686274509,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.7137254901960784,0.1607843137254902,0.0,0.0,9.411764705882353e-2,0.4470588235294118,0.8627450980392157,0.996078431372549,0.996078431372549,0.6823529411764706,4.7058823529411764e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6039215686274509,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9882352941176471,0.3411764705882353,5.0980392156862744e-2,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.2235294117647059,0.7019607843137254,0.996078431372549,0.3215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10588235294117647,0.8470588235294118,0.996078431372549,0.996078431372549,0.5843137254901961,8.627450980392157e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13725490196078433,0.5294117647058824,0.3215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3568627450980392,0.7372549019607844,0.25098039215686274,0.15294117647058825,0.11764705882352941,0.0,6.666666666666667e-2,0.0,6.666666666666667e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7686274509803922,0.996078431372549,0.996078431372549,0.996078431372549,0.9411764705882353,0.7254901960784313,0.8431372549019608,0.7254901960784313,0.8431372549019608,0.7254901960784313,0.7254901960784313,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.47058823529411764,0.996078431372549,0.8352941176470589,0.9411764705882353,0.8862745098039215,0.7058823529411765,0.9764705882352941,0.9764705882352941,0.9764705882352941,0.996078431372549,0.996078431372549,0.5372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7254901960784313,0.996078431372549,0.23137254901960785,0.0,0.0,0.0,0.0,0.0,0.0,0.9607843137254902,0.996078431372549,0.592156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.24313725490196078,0.9725490196078431,0.7176470588235294,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.2901960784313726,0.9882352941176471,0.996078431372549,0.27450980392156865,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.8196078431372549,0.9764705882352941,0.20392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.38823529411764707,0.996078431372549,0.996078431372549,0.16862745098039217,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3568627450980392,0.996078431372549,0.6901960784313725,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.47058823529411764,0.996078431372549,0.9490196078431372,0.13725490196078433,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.3686274509803922,0.16862745098039217,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8117647058823529,0.996078431372549,0.7411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8117647058823529,0.996078431372549,0.7137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8117647058823529,0.996078431372549,0.3176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8117647058823529,0.996078431372549,0.3176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8117647058823529,0.996078431372549,0.3176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.8823529411764705e-2,0.8549019607843137,0.9725490196078431,0.24313725490196078,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23529411764705882,0.996078431372549,0.8901960784313725,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6431372549019608,0.996078431372549,0.8901960784313725,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6588235294117647,0.996078431372549,0.8901960784313725,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6588235294117647,0.996078431372549,0.8901960784313725,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.8470588235294118,0.996078431372549,0.6549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.996078431372549,0.996078431372549,0.4666666666666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.7098039215686275,0.8352941176470589,8.627450980392157e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.29411764705882354,0.0,0.3843137254901961,0.7254901960784313,0.6980392156862745,0.3686274509803922,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.8823529411764705e-2,0.43529411764705883,0.7647058823529411,0.9333333333333333,0.3686274509803922,0.0,0.8156862745098039,0.9764705882352941,0.996078431372549,0.996078431372549,0.4549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.19607843137254902,0.4196078431372549,0.7725490196078432,0.9647058823529412,0.7176470588235294,9.803921568627451e-2,0.0,0.0,0.3176470588235294,0.9607843137254902,0.996078431372549,0.9764705882352941,0.3568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.058823529411765e-2,0.32941176470588235,0.9019607843137255,0.996078431372549,0.996078431372549,0.8666666666666667,0.33725490196078434,0.0,0.0,3.92156862745098e-3,0.49019607843137253,0.9921568627450981,0.996078431372549,0.6980392156862745,0.20784313725490197,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5215686274509804,0.996078431372549,0.996078431372549,0.8509803921568627,0.4627450980392157,1.568627450980392e-2,0.0,0.0,0.24313725490196078,0.792156862745098,0.996078431372549,0.9450980392156862,0.5137254901960784,3.137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4196078431372549,0.9568627450980393,0.996078431372549,0.8352941176470589,0.17647058823529413,0.0,0.0,0.0,0.24313725490196078,0.9411764705882353,0.996078431372549,0.8627450980392157,0.11372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17254901960784313,0.9647058823529412,0.996078431372549,0.8196078431372549,0.19215686274509805,0.0,0.0,0.0,0.12156862745098039,0.9450980392156862,0.996078431372549,0.8666666666666667,0.10588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.37254901960784315,0.996078431372549,0.996078431372549,0.21568627450980393,0.0,0.0,0.0,6.666666666666667e-2,0.7764705882352941,0.996078431372549,0.8549019607843137,0.10980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10588235294117647,0.8588235294117647,0.996078431372549,0.9137254901960784,0.5647058823529412,0.15294117647058825,0.16470588235294117,0.8,0.996078431372549,0.803921568627451,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.45098039215686275,0.9725490196078431,0.996078431372549,0.996078431372549,0.9568627450980393,0.9137254901960784,0.996078431372549,0.8745098039215686,9.411764705882353e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.14901960784313725,0.32941176470588235,0.6588235294117647,0.9607843137254902,0.996078431372549,0.996078431372549,0.996078431372549,0.8117647058823529,0.45098039215686275,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.9254901960784314,0.996078431372549,0.9019607843137255,0.6392156862745098,0.9294117647058824,0.9568627450980393,0.8274509803921568,0.3137254901960784,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.38823529411764707,0.996078431372549,0.996078431372549,0.38823529411764707,0.0,0.0,0.1450980392156863,0.8823529411764706,0.996078431372549,0.5098039215686274,3.137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2784313725490196,0.996078431372549,0.8980392156862745,4.7058823529411764e-2,0.0,0.0,0.0,7.84313725490196e-3,0.6666666666666666,0.996078431372549,0.2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3764705882352941,0.996078431372549,0.996078431372549,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.3176470588235294,0.996078431372549,0.7764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3137254901960784,0.996078431372549,0.996078431372549,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.5137254901960784,0.996078431372549,0.4666666666666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.8392156862745098,0.996078431372549,0.3058823529411765,0.0,0.0,0.0,3.92156862745098e-3,0.7176470588235294,0.9568627450980393,0.24705882352941178,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.9921568627450981,0.8745098039215686,9.411764705882353e-2,0.0,7.84313725490196e-3,0.49411764705882355,0.996078431372549,0.6980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3411764705882353,0.9333333333333333,0.8705882352941177,0.4666666666666667,0.6941176470588235,0.996078431372549,0.8509803921568627,0.10588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.058823529411765e-2,0.6039215686274509,0.7686274509803922,0.7686274509803922,0.396078431372549,9.803921568627451e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2627450980392157,0.996078431372549,0.8392156862745098,9.803921568627451e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23921568627450981,0.8901960784313725,0.13725490196078433,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.7372549019607844,0.9921568627450981,0.9921568627450981,0.6470588235294118,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.7137254901960784,0.9921568627450981,0.7058823529411765,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.19215686274509805,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,9.411764705882353e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.2823529411764706,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7372549019607844,3.137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.6627450980392157,0.9921568627450981,0.9921568627450981,0.9137254901960784,0.24313725490196078,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2823529411764706,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6588235294117647,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.7607843137254902,0.9921568627450981,0.9921568627450981,0.6588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.615686274509804,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6588235294117647,0.0,0.0,0.1607843137254902,0.2,0.5333333333333333,0.6549019607843137,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.615686274509804,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.788235294117647,0.5607843137254902,0.6274509803921569,0.9215686274509803,0.9333333333333333,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.4823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.615686274509804,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7333333333333333,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.615686274509804,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.411764705882353e-2,0.9803921568627451,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9764705882352941,0.9764705882352941,0.996078431372549,1.0,0.996078431372549,0.4627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3333333333333333,0.9176470588235294,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9058823529411765,0.6705882352941176,0.20392156862745098,0.5686274509803921,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.2823529411764706,7.84313725490196e-2,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.7176470588235294,0.8509803921568627,0.6901960784313725,0.3764705882352941,3.529411764705882e-2,0.0,0.0,0.2784313725490196,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8862745098039215,0.8745098039215686,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.803921568627451e-2,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.5686274509803921,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4392156862745098,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6745098039215687,5.4901960784313725e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.8941176470588236,0.9921568627450981,0.9921568627450981,0.9254901960784314,0.16862745098039217,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.20784313725490197,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.596078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34509803921568627,0.9921568627450981,0.9921568627450981,0.8274509803921568,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0980392156862744e-2,0.9921568627450981,0.9921568627450981,0.803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7450980392156862e-2,0.792156862745098,0.9921568627450981,0.5764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.49019607843137253,0.6666666666666666,0.596078431372549,1.0,0.6823529411764706,0.7607843137254902,0.396078431372549,0.396078431372549,4.7058823529411764e-2,0.26666666666666666,0.396078431372549,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.36470588235294116,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.807843137254902,0.9254901960784314,0.9921568627450981,0.6666666666666666,6.666666666666667e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.36470588235294116,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.3607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.11764705882352941,0.8274509803921568,0.6470588235294118,0.6745098039215687,0.9921568627450981,0.7686274509803922,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.3607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.13333333333333333,1.568627450980392e-2,3.137254901960784e-2,0.23921568627450981,9.411764705882353e-2,0.23921568627450981,0.6039215686274509,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.807843137254902,8.627450980392157e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.48627450980392156,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.9647058823529412,0.9921568627450981,0.9921568627450981,0.8392156862745098,0.13333333333333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5333333333333333,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.5372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.8470588235294118,0.9921568627450981,0.9921568627450981,0.9607843137254902,0.2627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8549019607843137,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.3803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.40784313725490196,0.9647058823529412,0.9921568627450981,0.9921568627450981,0.8,9.803921568627451e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4196078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.42745098039215684,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7254901960784313,0.9921568627450981,0.9921568627450981,0.9686274509803922,0.42745098039215684,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7254901960784313,0.9921568627450981,0.9921568627450981,0.9019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7254901960784313,0.9921568627450981,0.9921568627450981,0.9019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.28627450980392155,0.9529411764705882,0.9921568627450981,0.9921568627450981,0.7529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.35294117647058826,0.9921568627450981,0.9921568627450981,0.984313725490196,0.2901960784313726,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6784313725490196,0.9921568627450981,0.9921568627450981,0.6901960784313725,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2627450980392157,0.9333333333333333,0.9921568627450981,0.19215686274509805,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7254901960784313,0.9921568627450981,8.627450980392157e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.26666666666666666,0.611764705882353,0.9921568627450981,0.9921568627450981,1.0,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6470588235294118,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4392156862745098,0.9294117647058824,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.41568627450980394,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5294117647058824,0.9058823529411765,0.9058823529411765,0.6274509803921569,0.14901960784313725,8.235294117647059e-2,8.235294117647059e-2,0.1568627450980392,0.9882352941176471,0.9882352941176471,0.41568627450980394,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.18823529411764706,0.9882352941176471,0.9882352941176471,0.41568627450980394,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1411764705882353,0.8745098039215686,0.9882352941176471,0.8156862745098039,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.803921568627451e-2,0.615686274509804,0.9921568627450981,0.9529411764705882,0.13725490196078433,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1411764705882353,0.7176470588235294,0.9882352941176471,0.9882352941176471,0.9294117647058824,0.4,0.1411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.4980392156862745,0.8745098039215686,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9490196078431372,0.6,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6,0.9882352941176471,0.9882352941176471,0.8470588235294118,0.6,0.32941176470588235,0.6039215686274509,0.8431372549019608,0.9921568627450981,0.9882352941176471,0.792156862745098,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.16862745098039217,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.39215686274509803,0.9882352941176471,0.6431372549019608,7.058823529411765e-2,0.0,0.0,0.0,7.058823529411765e-2,0.47843137254901963,0.9882352941176471,0.9882352941176471,0.8823529411764706,0.13725490196078433,0.0,0.0,0.4196078431372549,0.5529411764705883,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1411764705882353,0.8784313725490196,0.9921568627450981,0.47843137254901963,0.4117647058823529,0.8901960784313725,0.8745098039215686,0.13725490196078433,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3607843137254902,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.7411764705882353,0.12549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.3333333333333333,0.9882352941176471,0.9882352941176471,0.6313725490196078,5.4901960784313725e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.21568627450980393,0.7725490196078432,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.41568627450980394,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34901960784313724,0.9254901960784314,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.27058823529411763,0.9254901960784314,0.8313725490196079,0.2980392156862745,0.9607843137254902,0.9921568627450981,0.7490196078431373,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.396078431372549,0.9882352941176471,0.8509803921568627,0.1607843137254902,0.7254901960784313,0.9882352941176471,0.9882352941176471,0.26666666666666666,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.9176470588235294,0.9882352941176471,0.4392156862745098,0.7529411764705882,0.9882352941176471,0.984313725490196,0.5254901960784314,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3333333333333333,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.5254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3333333333333333,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.7490196078431373,0.4392156862745098,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.17647058823529413,0.6823529411764706,0.996078431372549,0.36470588235294116,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.7803921568627451,0.9921568627450981,0.9921568627450981,0.9921568627450981,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30980392156862746,0.9921568627450981,0.7843137254901961,0.3764705882352941,0.807843137254902,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12941176470588237,0.9019607843137255,0.9921568627450981,0.6588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3058823529411765,0.9921568627450981,0.9254901960784314,0.2784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6627450980392157,0.9921568627450981,0.5725490196078431,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11764705882352941,0.9333333333333333,0.9921568627450981,0.23529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.9921568627450981,0.9921568627450981,0.23529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5725490196078431,0.9921568627450981,0.9921568627450981,0.23529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.615686274509804,0.9921568627450981,0.9921568627450981,0.23529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.2980392156862745,0.792156862745098,0.6078431372549019,0.11372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6196078431372549,0.996078431372549,0.996078431372549,0.23529411764705882,0.0,0.0,0.0,0.0,3.92156862745098e-3,0.3215686274509804,0.8196078431372549,0.996078431372549,0.996078431372549,0.8627450980392157,0.12156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.615686274509804,0.9921568627450981,0.9921568627450981,0.23529411764705882,0.0,0.0,0.0,0.0,0.3215686274509804,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8509803921568627,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5490196078431373,0.9921568627450981,0.9921568627450981,0.23529411764705882,0.0,0.0,0.0,7.058823529411765e-2,0.8196078431372549,0.9921568627450981,0.9058823529411765,0.5333333333333333,0.3764705882352941,0.8470588235294118,0.9921568627450981,0.43529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.9921568627450981,0.9921568627450981,0.23529411764705882,0.0,0.0,0.0,0.5647058823529412,0.996078431372549,0.8392156862745098,0.12549019607843137,0.0,0.0,0.7607843137254902,0.9921568627450981,0.611764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10980392156862745,0.9137254901960784,0.9921568627450981,0.34901960784313724,0.0,0.0,0.6470588235294118,0.9803921568627451,0.9647058823529412,0.12156862745098039,0.0,0.0,0.0,0.7607843137254902,0.9921568627450981,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5294117647058824,0.9921568627450981,0.9254901960784314,0.2823529411764706,0.10980392156862745,0.9294117647058824,0.9921568627450981,0.4549019607843137,0.0,0.0,5.4901960784313725e-2,0.4,0.9372549019607843,0.7372549019607844,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12941176470588237,0.8980392156862745,0.9921568627450981,0.9294117647058824,0.8784313725490196,0.9921568627450981,0.9921568627450981,0.0,0.0,0.20784313725490197,0.6862745098039216,0.9921568627450981,0.9921568627450981,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.21568627450980393,0.9058823529411765,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8352941176470589,0.6509803921568628,0.9411764705882353,0.9921568627450981,0.9921568627450981,0.5647058823529412,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.43529411764705883,0.9137254901960784,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9098039215686274,0.4549019607843137,2.3529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.529411764705882e-2,0.4549019607843137,0.5176470588235295,0.9725490196078431,0.996078431372549,0.9490196078431372,0.5176470588235295,0.19215686274509805,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4666666666666667,0.996078431372549,0.8431372549019608,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4627450980392157,0.9921568627450981,0.8352941176470589,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4627450980392157,0.9921568627450981,0.8352941176470589,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,0.5411764705882353,0.9921568627450981,0.8352941176470589,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5254901960784314,0.9921568627450981,0.9921568627450981,0.8352941176470589,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.9921568627450981,0.36470588235294116,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6549019607843137,1.0,0.9921568627450981,0.403921568627451,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.8352941176470589,0.996078431372549,0.8470588235294118,0.20784313725490197,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16862745098039217,0.7843137254901961,0.9921568627450981,0.996078431372549,0.5294117647058824,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30980392156862746,0.9921568627450981,0.9921568627450981,0.996078431372549,0.5294117647058824,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.996078431372549,0.996078431372549,0.996078431372549,0.9529411764705882,0.4117647058823529,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3137254901960784e-2,0.6705882352941176,0.9921568627450981,0.9921568627450981,0.8745098039215686,0.24705882352941178,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30980392156862746,0.9921568627450981,0.9921568627450981,0.996078431372549,0.5294117647058824,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.9411764705882353,0.9921568627450981,0.9921568627450981,0.7843137254901961,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3764705882352941,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.4745098039215686,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8431372549019608,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5215686274509804,0.9686274509803922,0.9921568627450981,0.9921568627450981,0.9294117647058824,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.611764705882353,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.611764705882353,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.2235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1411764705882353,0.28627450980392155,0.7529411764705882,0.2235294117647059,5.0980392156862744e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.45098039215686275,0.7686274509803922,0.996078431372549,0.996078431372549,0.996078431372549,0.611764705882353,6.666666666666667e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2549019607843137,0.796078431372549,0.9921568627450981,0.9921568627450981,0.984313725490196,0.9725490196078431,0.9921568627450981,0.9921568627450981,0.6235294117647059,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.5372549019607843,0.9764705882352941,0.9921568627450981,0.9450980392156862,0.5764705882352941,0.26666666666666666,0.1607843137254902,0.4588235294117647,0.9647058823529412,0.9921568627450981,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.42745098039215684,0.9921568627450981,0.9490196078431372,0.615686274509804,0.11372549019607843,0.0,0.0,7.84313725490196e-3,0.45098039215686275,0.9803921568627451,0.9686274509803922,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.5686274509803921,0.1411764705882353,0.0,0.0,0.0,0.0,0.17647058823529413,0.9921568627450981,0.9921568627450981,0.41568627450980394,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.43529411764705883,0.6,0.9411764705882353,0.9921568627450981,0.8588235294117647,2.7450980392156862e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.32941176470588235,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9019607843137255,0.1843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5803921568627451,0.9372549019607843,0.9725490196078431,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9803921568627451,0.38823529411764707,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9372549019607843,0.9921568627450981,0.9921568627450981,0.9882352941176471,0.7098039215686275,0.9921568627450981,0.9921568627450981,0.9725490196078431,0.37254901960784315,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.17254901960784313,1.568627450980392e-2,1.568627450980392e-2,3.92156862745098e-3,0.19607843137254902,0.7215686274509804,0.9921568627450981,0.9882352941176471,0.3058823529411765,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.8941176470588236,0.9921568627450981,0.4745098039215686,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.49411764705882355,0.9921568627450981,0.8588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5098039215686274,0.9921568627450981,0.8352941176470589,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4235294117647059,0.36470588235294116,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8784313725490196,0.9921568627450981,0.47058823529411764,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.9254901960784314,0.6549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.47058823529411764,0.9803921568627451,0.9921568627450981,0.27450980392156865,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2549019607843137,0.9921568627450981,0.6980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1843137254901961,0.9921568627450981,0.9921568627450981,0.6470588235294118,2.3529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12156862745098039,0.9215686274509803,0.6980392156862745,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.6196078431372549,0.9529411764705882,0.9921568627450981,0.796078431372549,2.3529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8588235294117647,0.9215686274509803,0.5411764705882353,0.35294117647058826,0.35294117647058826,0.3568627450980392,0.5843137254901961,0.8470588235294118,0.9921568627450981,0.9725490196078431,0.6392156862745098,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6352941176470588,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9215686274509803,0.5725490196078431,9.411764705882353e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10196078431372549,0.4823529411764706,0.6470588235294118,0.9921568627450981,0.7764705882352941,0.6,0.5254901960784314,0.12549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.5529411764705883,0.8784313725490196,0.30980392156862746,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7294117647058823,0.9921568627450981,0.9921568627450981,0.4588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.38823529411764707,0.996078431372549,0.6705882352941176,0.45098039215686275,0.1411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.20392156862745098,0.9725490196078431,0.9568627450980393,0.1568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12156862745098039,0.8588235294117647,0.9921568627450981,0.17647058823529413,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.4666666666666667,0.996078431372549,0.6705882352941176,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.403921568627451,0.9921568627450981,0.8313725490196079,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.7686274509803922,0.8941176470588236,0.16862745098039217,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5843137254901961,0.9921568627450981,0.6823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7607843137254902,0.9921568627450981,0.39215686274509803,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.019607843137255e-2,1.0,0.6823529411764706,0.0,0.0,0.0,0.0,0.19607843137254902,0.3803921568627451,0.23137254901960785,5.4901960784313725e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7058823529411765,0.996078431372549,0.5294117647058824,0.0,0.0,0.20784313725490197,0.8431372549019608,0.9686274509803922,0.9921568627450981,0.9921568627450981,0.7254901960784313,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7647058823529411,0.996078431372549,0.5294117647058824,0.0,0.34509803921568627,0.9215686274509803,0.996078431372549,0.8470588235294118,0.4196078431372549,0.6745098039215687,0.9921568627450981,0.26666666666666666,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7647058823529411,0.996078431372549,0.5294117647058824,0.34509803921568627,0.984313725490196,0.9921568627450981,0.6039215686274509,9.803921568627451e-2,0.0,0.5333333333333333,0.9921568627450981,0.6784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7647058823529411,0.996078431372549,0.5882352941176471,0.9215686274509803,0.9294117647058824,0.4627450980392157,0.0,0.0,0.0,0.5333333333333333,0.9921568627450981,0.3843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.38823529411764707,1.0,0.996078431372549,0.996078431372549,0.6039215686274509,0.0,0.0,0.0,0.0,0.5372549019607843,0.996078431372549,9.019607843137255e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.8823529411764705e-2,0.8156862745098039,0.9921568627450981,0.9921568627450981,0.48627450980392156,0.0,5.0980392156862744e-2,7.84313725490196e-2,7.84313725490196e-2,0.7176470588235294,0.9607843137254902,0.20784313725490197,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4980392156862745,0.9921568627450981,0.9921568627450981,0.9450980392156862,0.6862745098039216,0.8784313725490196,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.49411764705882355,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.43137254901960786,0.9450980392156862,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.9921568627450981,0.8470588235294118,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.6392156862745098,0.9921568627450981,0.996078431372549,0.9921568627450981,0.8705882352941177,0.3686274509803922,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.4549019607843137,0.9529411764705882,0.8784313725490196,0.9647058823529412,0.23137254901960785,0.0,0.12156862745098039,0.4745098039215686,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.5843137254901961,0.7490196078431373,0.37254901960784315,3.137254901960784e-2,0.6196078431372549,9.803921568627451e-2,6.666666666666667e-2,0.8588235294117647,0.8941176470588236,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.6784313725490196,0.5843137254901961,0.2196078431372549,0.0,0.0,0.23921568627450981,1.96078431372549e-2,0.7764705882352941,0.8941176470588236,0.17254901960784313,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.33725490196078434,0.7843137254901961,9.803921568627451e-2,0.0,0.0,0.0,0.0,0.25882352941176473,0.796078431372549,0.29411764705882354,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.49019607843137253,0.5411764705882353,0.0,0.0,0.0,0.0,0.16862745098039217,0.9529411764705882,0.9019607843137255,0.1803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5450980392156862,0.788235294117647,2.3529411764705882e-2,0.0,0.0,0.0,0.0,0.5843137254901961,0.9882352941176471,0.32941176470588235,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34509803921568627,0.8941176470588236,3.92156862745098e-2,0.0,0.0,0.0,7.058823529411765e-2,0.596078431372549,0.9921568627450981,0.5450980392156862,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.8823529411764706,0.3764705882352941,0.0,0.0,7.84313725490196e-3,0.26666666666666666,0.7607843137254902,0.8784313725490196,0.43137254901960786,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.19215686274509805,0.8980392156862745,7.84313725490196e-2,0.10980392156862745,0.23529411764705882,0.592156862745098,1.0,0.9764705882352941,0.2784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1607843137254902,0.9764705882352941,0.807843137254902,0.9921568627450981,0.8666666666666667,0.807843137254902,0.9647058823529412,0.792156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.41568627450980394,0.7686274509803922,0.4823529411764706,6.274509803921569e-2,0.5294117647058824,0.9647058823529412,0.5568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.43137254901960786,0.996078431372549,0.7764705882352941,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11372549019607843,0.9803921568627451,0.9294117647058824,9.803921568627451e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.8588235294117647,0.8235294117647058,9.411764705882353e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4392156862745098,0.9568627450980393,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.25098039215686274,0.9568627450980393,0.48627450980392156,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3686274509803922,0.9137254901960784,0.6431372549019608,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8274509803921568,0.8705882352941177,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8274509803921568,0.49019607843137253,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.411764705882353e-2,0.35294117647058826,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.43137254901960786,0.49019607843137253,0.49019607843137253,0.49019607843137253,0.6196078431372549,0.6196078431372549,0.49019607843137253,0.14901960784313725,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.615686274509804,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,1.0,0.996078431372549,0.996078431372549,0.984313725490196,0.3254901960784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6745098039215687,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9686274509803922,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.137254901960784e-2,0.40784313725490196,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.8705882352941177,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-2,9.803921568627451e-2,0.5215686274509804,0.7215686274509804,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.8705882352941177,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7215686274509804,0.9098039215686274,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.8705882352941177,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4588235294117647,0.9725490196078431,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.43529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8470588235294118,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.5137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34509803921568627,0.9490196078431372,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.8705882352941177,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34901960784313724,0.9450980392156862,0.996078431372549,0.803921568627451,0.9254901960784314,0.996078431372549,0.996078431372549,0.9019607843137255,0.10196078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.20392156862745098,0.2549019607843137,6.666666666666667e-2,0.6,0.996078431372549,0.996078431372549,0.996078431372549,0.5019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.20784313725490197,0.996078431372549,0.996078431372549,0.996078431372549,0.8941176470588236,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.30196078431372547,0.996078431372549,0.996078431372549,0.996078431372549,0.5372549019607843,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1568627450980392,0.9058823529411765,0.996078431372549,0.996078431372549,0.996078431372549,0.3843137254901961,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.0,0.0,0.0,3.529411764705882e-2,0.596078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9137254901960784,0.13725490196078433,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5568627450980392,0.8117647058823529,0.615686274509804,0.19607843137254902,0.5137254901960784,0.7137254901960784,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.8156862745098039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.24705882352941178,0.9568627450980393,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.984313725490196,0.32941176470588235,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.41568627450980394,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9607843137254902,0.5333333333333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.19215686274509805,0.9215686274509803,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.996078431372549,0.9803921568627451,0.8666666666666667,0.1411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.42745098039215684,0.9215686274509803,0.996078431372549,0.996078431372549,0.8666666666666667,0.12549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3607843137254902,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7450980392156863,0.984313725490196,0.984313725490196,0.984313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7450980392156863,0.984313725490196,0.984313725490196,0.984313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7450980392156863,0.984313725490196,0.984313725490196,0.984313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7450980392156863,0.984313725490196,0.984313725490196,0.984313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7490196078431373,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.7647058823529411,9.411764705882353e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7450980392156863,0.984313725490196,0.984313725490196,0.984313725490196,0.9921568627450981,0.24313725490196078,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7450980392156863,0.984313725490196,0.984313725490196,0.984313725490196,0.9921568627450981,0.5529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.984313725490196,0.984313725490196,0.984313725490196,0.9921568627450981,0.8627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.984313725490196,0.984313725490196,0.984313725490196,0.9921568627450981,0.8627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.7058823529411764e-2,0.6823529411764706,0.9921568627450981,0.9921568627450981,1.0,0.8666666666666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.984313725490196,0.984313725490196,0.984313725490196,0.9921568627450981,0.8627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.984313725490196,0.984313725490196,0.984313725490196,0.9921568627450981,0.8627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.984313725490196,0.984313725490196,0.984313725490196,0.9921568627450981,0.8627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.984313725490196,0.984313725490196,0.984313725490196,0.9921568627450981,0.8627450980392157,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.807843137254902,0.9921568627450981,0.9921568627450981,1.0,0.9921568627450981,0.49411764705882355,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.8980392156862745,0.984313725490196,0.9921568627450981,0.984313725490196,0.49411764705882355,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8666666666666667,0.984313725490196,0.9921568627450981,0.984313725490196,0.7372549019607844,0.37254901960784315,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7098039215686275,0.8274509803921568,0.9921568627450981,0.984313725490196,0.984313725490196,0.7372549019607844,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.411764705882353e-2,0.13725490196078433,0.6,0.984313725490196,0.984313725490196,0.34901960784313724,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.9921568627450981,1.0,0.9921568627450981,0.2823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.24705882352941178,0.24705882352941178,0.0,0.0,0.24705882352941178,0.7098039215686275,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.2784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7137254901960784,0.9490196078431372,0.8431372549019608,0.0,6.274509803921569e-2,0.8705882352941177,0.9882352941176471,0.9882352941176471,0.9294117647058824,0.6823529411764706,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.5647058823529412,0.9921568627450981,0.8235294117647058,0.3607843137254902,3.92156862745098e-3,0.7490196078431373,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3686274509803922,0.8274509803921568,0.9882352941176471,0.807843137254902,7.84313725490196e-2,0.0,0.5647058823529412,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.4235294117647059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.8901960784313725,0.9882352941176471,0.9882352941176471,7.84313725490196e-2,0.0,0.12549019607843137,0.9294117647058824,0.9921568627450981,0.9882352941176471,0.8627450980392157,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.1450980392156863,0.8274509803921568,0.9882352941176471,0.9647058823529412,0.5176470588235295,0.0,4.3137254901960784e-2,0.5882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.7647058823529411,0.0,0.0,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1450980392156863,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.5176470588235295,0.0,0.0,0.28627450980392155,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.2784313725490196,0.0,0.5686274509803921,0.807843137254902,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7137254901960784,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.2823529411764706,0.0,0.0,0.28627450980392155,0.9921568627450981,0.9921568627450981,1.0,0.8274509803921568,0.42745098039215684,0.7490196078431373,1.0,0.9921568627450981,0.2823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.24705882352941178,0.9490196078431372,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.48627450980392156,0.28627450980392155,0.16470588235294117,0.45098039215686275,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9058823529411765,0.2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.28627450980392155,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.8705882352941177,0.9490196078431372,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9294117647058824,0.6,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.28627450980392155,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.16470588235294117,0.6274509803921569,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,1.0,0.9921568627450981,0.9921568627450981,0.9921568627450981,1.0,0.9921568627450981,0.9294117647058824,0.5647058823529412,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.4666666666666667,0.8235294117647058,0.7411764705882353,0.9058823529411765,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.8705882352941177,0.5411764705882353,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12156862745098039,3.92156862745098e-2,0.2,0.6039215686274509,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.6274509803921569,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.4666666666666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7529411764705882,0.9921568627450981,0.9921568627450981,0.9921568627450981,1.0,0.9921568627450981,0.5215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3058823529411765,0.9490196078431372,0.9882352941176471,0.9882352941176471,0.9921568627450981,0.9882352941176471,0.6823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.403921568627451,0.8666666666666667,0.9882352941176471,0.9921568627450981,0.8627450980392157,0.23921568627450981,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.274509803921569e-2,0.7450980392156863,0.4235294117647059,5.8823529411764705e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.627450980392157e-2,0.9607843137254902,0.33725490196078434,1.96078431372549e-2,4.3137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3137254901960784,0.9411764705882353,0.6941176470588235,0.796078431372549,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7215686274509804,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7215686274509804,0.9882352941176471,0.9882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5137254901960784,0.9882352941176471,0.9882352941176471,0.41568627450980394,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.12549019607843137,0.8980392156862745,0.9921568627450981,0.9568627450980393,0.19607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5215686274509804,0.9882352941176471,0.9921568627450981,0.44313725490196076,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.26666666666666666,0.8431372549019608,0.9921568627450981,0.8588235294117647,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.9921568627450981,0.9882352941176471,0.43529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9921568627450981,0.9882352941176471,0.7176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.9921568627450981,0.7215686274509804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6235294117647059,0.9882352941176471,0.7686274509803922,3.529411764705882e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666666666666667e-2,0.8901960784313725,0.9882352941176471,0.17647058823529413,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6313725490196078,0.9882352941176471,0.17647058823529413,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.9882352941176471,0.5882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1843137254901961,0.9921568627450981,0.6313725490196078,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1843137254901961,0.9882352941176471,0.6274509803921569,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1843137254901961,0.9882352941176471,0.6274509803921569,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.1843137254901961,0.9882352941176471,0.9254901960784314,7.450980392156863e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.96078431372549e-2,0.5372549019607843,0.4549019607843137,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10588235294117647,0.5333333333333333,0.2235294117647059,7.058823529411765e-2,7.058823529411765e-2,7.058823529411765e-2,7.058823529411765e-2,7.058823529411765e-2,0.14901960784313725,0.5333333333333333,0.17647058823529413,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.996078431372549,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.1607843137254902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.28627450980392155,0.7137254901960784,0.615686274509804,0.2549019607843137,0.6313725490196078,0.8313725490196079,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9098039215686274,0.11764705882352941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.9725490196078431,0.9921568627450981,0.9921568627450981,0.9137254901960784,0.23529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.7058823529411764e-2,0.9568627450980393,0.9921568627450981,0.9921568627450981,0.9686274509803922,0.20392156862745098,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7333333333333333,0.9921568627450981,0.9921568627450981,0.7607843137254902,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,9.411764705882353e-2,0.44313725490196076,0.5568627450980392,0.5568627450980392,0.9764705882352941,0.9921568627450981,0.9921568627450981,0.36470588235294116,9.411764705882353e-2,9.411764705882353e-2,9.411764705882353e-2,9.411764705882353e-2,9.411764705882353e-2,9.411764705882353e-2,9.411764705882353e-2,9.411764705882353e-2,9.411764705882353e-2,5.0980392156862744e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.11764705882352941,0.9411764705882353,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9294117647058824,0.6588235294117647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.20392156862745098,0.43137254901960786,0.8431372549019608,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8431372549019608,0.7607843137254902,0.6078431372549019,0.1803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34901960784313724,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9450980392156862,0.9019607843137255,0.7607843137254902,0.6901960784313725,0.27058823529411763,0.23137254901960785,0.23137254901960785,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34901960784313724,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6549019607843137,0.11372549019607843,3.92156862745098e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34901960784313724,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.3686274509803922,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34901960784313724,0.9921568627450981,0.9921568627450981,0.9019607843137255,7.84313725490196e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34901960784313724,0.9921568627450981,0.9921568627450981,0.9529411764705882,0.21568627450980393,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34901960784313724,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.3686274509803922,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34901960784313724,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.3686274509803922,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34901960784313724,0.9921568627450981,0.9921568627450981,0.9176470588235294,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.34901960784313724,0.9921568627450981,0.9921568627450981,0.9019607843137255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.47843137254901963,0.5294117647058824,0.26666666666666666,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.615686274509804,0.9450980392156862,0.9686274509803922,0.5098039215686274,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.568627450980392e-2,0.3411764705882353,0.9450980392156862,0.9450980392156862,0.7764705882352941,0.8705882352941177,0.9921568627450981,0.596078431372549,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.450980392156863e-2,0.6588235294117647,0.9921568627450981,0.9529411764705882,0.1607843137254902,0.0,6.274509803921569e-2,0.6980392156862745,0.996078431372549,0.42745098039215684,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5725490196078431,0.9921568627450981,0.8117647058823529,0.15294117647058825,0.0,0.0,0.0,0.20392156862745098,0.9215686274509803,0.47058823529411764,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2823529411764706,0.9529411764705882,0.9411764705882353,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.8196078431372549,0.9529411764705882,0.2784313725490196,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.8196078431372549,0.9921568627450981,0.5686274509803921,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5333333333333333,0.996078431372549,0.8823529411764706,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.9333333333333333,0.996078431372549,0.34901960784313724,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.42745098039215684,0.9921568627450981,0.792156862745098,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5294117647058824,0.996078431372549,0.7137254901960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4549019607843137,0.9921568627450981,0.5058823529411764,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6039215686274509,0.9921568627450981,0.3568627450980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10588235294117647,0.9333333333333333,0.9921568627450981,0.5058823529411764,0.0,0.0,0.0,0.0,4.7058823529411764e-2,7.450980392156863e-2,7.450980392156863e-2,7.450980392156863e-2,4.7058823529411764e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.10588235294117647,0.9333333333333333,0.9921568627450981,0.7098039215686275,0.0,0.0,0.1568627450980392,0.48627450980392156,0.8941176470588236,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8901960784313725,0.25882352941176473,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5529411764705883,0.996078431372549,0.792156862745098,1.96078431372549e-2,0.6,0.996078431372549,0.996078431372549,1.0,0.7294117647058823,0.7490196078431373,0.996078431372549,0.996078431372549,0.792156862745098,1.96078431372549e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.35294117647058826,0.9921568627450981,0.996078431372549,0.9294117647058824,0.9803921568627451,0.8745098039215686,0.4235294117647059,7.058823529411765e-2,7.84313725490196e-3,1.1764705882352941e-2,0.796078431372549,0.9921568627450981,0.996078431372549,7.058823529411765e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.5686274509803921,0.996078431372549,0.9921568627450981,0.9921568627450981,0.49019607843137253,0.0,0.0,3.137254901960784e-2,0.19607843137254902,0.8862745098039215,0.9921568627450981,0.5725490196078431,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-2,0.8156862745098039,0.9921568627450981,0.9921568627450981,0.9764705882352941,0.7803921568627451,0.7843137254901961,0.8274509803921568,0.9921568627450981,0.984313725490196,0.6627450980392157,7.84313725490196e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.235294117647059e-2,0.48627450980392156,0.6862745098039216,0.9921568627450981,0.9921568627450981,0.996078431372549,0.9921568627450981,0.8117647058823529,0.33725490196078434,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.14901960784313725,0.47843137254901963,0.9647058823529412,1.0,1.0,0.9607843137254902,0.4745098039215686,3.137254901960784e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2235294117647059,0.6901960784313725,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6078431372549019,1.1764705882352941e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-3,0.7490196078431373,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9803921568627451,0.9725490196078431,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.4117647058823529,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.92156862745098e-3,0.49411764705882355,0.9921568627450981,0.9921568627450981,0.9607843137254902,0.8235294117647058,0.43529411764705883,0.1450980392156863,0.0,0.6078431372549019,0.9921568627450981,0.9921568627450981,0.7333333333333333,5.4901960784313725e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.9921568627450981,0.9921568627450981,0.9803921568627451,0.5450980392156862,0.0,0.0,0.0,0.0,5.8823529411764705e-2,0.8862745098039215,0.9921568627450981,0.9921568627450981,0.4549019607843137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.9921568627450981,0.9921568627450981,0.5529411764705883,0.0,0.0,0.0,0.0,0.0,0.0,0.2980392156862745,0.9921568627450981,0.9921568627450981,0.8588235294117647,9.803921568627451e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.28627450980392155,0.9921568627450981,0.9333333333333333,8.627450980392157e-2,0.0,0.0,0.0,0.0,0.0,5.4901960784313725e-2,0.8666666666666667,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.5882352941176471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.4470588235294118,0.9921568627450981,0.9215686274509803,8.235294117647059e-2,0.0,0.0,0.0,0.0,0.12549019607843137,0.7568627450980392,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9019607843137255,1.568627450980392e-2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.23921568627450981,0.9921568627450981,0.9921568627450981,0.49411764705882355,0.0,0.0,7.84313725490196e-3,0.1568627450980392,0.6705882352941176,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.6235294117647059,3.92156862745098e-3,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3529411764705882e-2,0.9921568627450981,0.9921568627450981,0.8274509803921568,0.3764705882352941,0.21568627450980393,0.6235294117647059,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9411764705882353,0.28627450980392155,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.84313725490196e-3,0.5215686274509804,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.9921568627450981,0.8392156862745098,0.9921568627450981,0.9921568627450981,0.7372549019607844,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1764705882352941e-2,0.3803921568627451,0.6823529411764706,0.9607843137254902,0.9921568627450981,0.9882352941176471,0.9098039215686274,0.7529411764705882,8.627450980392157e-2,0.2549019607843137,0.9921568627450981,0.9921568627450981,0.3411764705882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.21176470588235294,0.33725490196078434,0.3176470588235294,0.0,0.0,0.0,8.235294117647059e-2,0.8705882352941177,0.9215686274509803,0.10980392156862745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.019607843137255e-2,0.8784313725490196,0.8862745098039215,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2823529411764706,0.9921568627450981,0.4823529411764706,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6588235294117647,0.9921568627450981,0.7529411764705882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6588235294117647,0.9921568627450981,0.9294117647058824,0.12941176470588237,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6588235294117647,0.9921568627450981,0.9921568627450981,0.3176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6588235294117647,0.9921568627450981,0.9921568627450981,0.3176470588235294,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3803921568627451,0.9137254901960784,0.9490196078431372,0.1803921568627451,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0]];
+w1 =[[   1.0436340003806899,    1.3979559540244066,     2.060478896696754,   0.36849893985707133,   -0.2968080888703891,  -3.207812050311402e-2,    -0.730927198530655,   0.39388897650130655,      1.391803469555287,    0.6357394643317501,    0.7056344049740314,      1.251539893164163,   -1.6793832784259377,   -1.4690596528366744,     1.596356501443778,    1.1733290206344105, 1.8858136210153597e-2,      2.20265397381128,    1.5993521168632738,  -1.0015249785311793,    -1.4391949829180866,   0.8459607489951863,  0.48228740091470834,   0.29559166328927833,       1.66055705366088,  0.41374804704167967,  -0.8539508598829422,     0.9201451490689483,     0.3870030365324812,   -0.8620441832468337,     0.9083638488101868,   0.16598242048751202,   -1.0295273552078683,      0.559493482067626,   -1.7820917482004706,    1.5924098037947794, -0.23005005512982157,  -0.28715007142789617,   0.6438939595516388,  0.30652598937718184,    1.4338104286347422,   0.3326203686291046,   -0.45486217210844765,  -0.4865352404749581,    0.5335038835367962,  -1.1612143945838271,    1.0422621478707135,   1.7583003098252858,   -0.6246889081490826,   -1.4497659985874323,   0.9557288182855452,   -0.7055129112275708,    0.49356272231031023,    0.4644404208505039,   -0.3711777627502938,   -2.1688496568229283,    2.2043909653938925,    1.1730014416169607,  -0.4160486101554352,   1.3856183667144466,    1.0737848974966766,   -1.1855144835557252,   -1.3780057189035326,   -2.6820326890828268,    1.0549294385103685,   6.868157136580737e-3,  -0.21422417527778134,   -0.9100844612993975,    1.2152452595797014,    0.6536522807358907,   -0.8413226608734816,   0.3182138278788448,  -0.4029528253277404,    1.384739969282172,   -0.4520130480154053,     -1.652651666852915,   -0.8696657990194505,   -1.1722866255247844,  8.776565534419165e-3,  -1.2130548254641136,  -0.45725757355860763,  4.226305734691387e-3,    -1.1550556361842457, -1.4222027630921332e-2,    0.6945382589156142,   0.46887263732023415,   0.14906506073616357,   1.7858983871008431, 1.4585729563685066e-2, 9.746773206276532e-2,  -1.2549868420396475,  -0.2909760057055296,     0.3587858003117974,    1.5028954097433949,    -0.3656007514224468,    -2.163412023335373,   -1.4177455225089042,     1.0492067271804275,    -0.4858328170046331,    0.5695324056701806, -0.22536525877962615,    0.16265254963741427,     -0.404878123520054,    0.25582854871137656,   -0.5159202289807465,  -1.0182177767420613,    -1.6251042819026758,   -0.5766724780081488,   6.183399609954095e-2,   0.17384557416277557,   -0.9922485632798329,    0.3565542829744424,    -1.2239566927229888,   0.7789889299372215,   -0.4958540955828612,      1.082760640075749,    2.1283112873805794,     0.5397856292249322,    -0.6204074672461846,   -0.7363473826957136,   -0.8999213494595953,   0.32618719807779806,    0.23211021275786495,   3.1477935470923772,  -1.9216798137757463,   -0.5261549393572317,   -0.5531887700871957,   1.2166789949523507,  -0.10347468784588164,  -0.8083759260646188,    2.1936379485198643,   -0.6655484198875491,   -1.2876389104091395,   0.5363418986185252,   -0.9804414366349534,   0.36230394227392043,   1.1033253546329784,  -0.17714227575247818,   0.5581749174069633,  -0.13535437567526606,   -0.6182219553230347,  -0.10459094669475286,     1.5008035895077718,    -0.5493859131066243,    -1.3747193733821566,    -0.3034365343737757,   0.8738448726812152,  5.402381789697023e-2,     0.2645696195416049,   -0.8693148642106397,  -0.16959217765786025,  -0.5752446549568195,     1.333031054003955,    0.49601560322236493,  -0.34369217290773657, -6.9632170236425504e-3, 0.12183513832796658,   1.0610783727210025,   -1.2314948589002743, -0.21990481136339013,    1.0349272968999248,   -0.20624271545167217,       0.20928826403901,    1.5455159600518873,   0.11805342037274369,    0.4941400441094236,   -0.5152568367037156,    0.2560273680775068,   0.9442624279663628,   -1.9129119975518682,    -1.2411803151965088,  5.568190852344663e-2,     0.7662433306320041,    0.7221229212958349,      0.698384586657985,   -0.6438686210102412,    1.2942688655657109,   0.1192609176833314,     1.4592132090346532,  -0.7772586761075871,  -0.5422856718448392,   -0.3741513160160595,  -1.0990775853359165,     0.7405651716450797,  -1.0435582799502454,    0.7484198815722137,     0.907939908245662,  0.27789217572770747,   0.44031658077655583, -0.41100097445343287,    0.5602381151804338,   1.5440989119921826,     1.0221870349322149,    1.5460323454830802,   -1.1833453929968087,  7.098705825779061e-2,   0.2004186898032393,     1.0397427422965213,    2.1844088577149057,    -1.194789423354836,   -0.9300458463056694,   -0.30517064714105263,    1.107160897665825,     0.6316486941979615,   1.0302326469542387,   -1.7370726313548452,   -0.9134409676181636, -4.8655009316965425e-2, -4.724438443966185e-2, -2.5334574413160824e-2,    1.3668896920500817,  -0.5085092268899228,    0.9839921997657126,   -1.7103657385053561,   0.7135708465530787,    -0.805748471577547,   0.31059729644179024,   0.5438064751791741,     1.315103883041174, -4.508462276709195e-2, -8.660366598233371e-2,     0.8629838477123039,    0.6740081426124439,  -0.42744977131811657,  0.11996242652585534,     -2.112402209832308,     -0.557078747567525,    2.0571714692980945,  -0.6783762416071603, -4.819327644078756e-2,     0.5320098626773823,    0.6089620974305738,     0.7458197932485661,   0.29835314253122774,     0.2962195206977377,   -0.1306216541109008,      1.075953087718793,  0.10382960611870726,  -0.21681581066846173,    0.5262938861305312, -3.438912231959767e-2,      0.523631710479552,  -0.8392678059071652,    0.7525796292342254,   -0.20902731509339542,   0.6245250259013698,   1.7807241189542315,   -0.8149061628104542,    1.0041189820926213,     -2.195726650349627,     0.390414878488497,   -0.42466149792977625,  0.19110973477332174,    0.4569613123439083,   -1.5930239683841143,   -2.6026518521715114,   -0.19079576360283088,    0.10480034642794543,     0.7677411935983228,  -0.12216164686741206,     1.5303687976400735,    -1.282048533629321,  -0.31238542708094696,   -0.7417423294577212,   -0.7534124879494735,    -0.5268546545604779,   -0.6398765531019848,  -0.30937854375151475,    1.4585262471801772,   0.5359328293065244,   -1.1746771803300164,   -0.41308131716375623,    0.7193971374149525,   -0.4598220076278093,     1.244893724762415,   -1.7653495637421361,     1.5520204486858404,   0.29710194276019003, -0.11239797408342454,  0.27357953925905665,  -0.40210352460900806, -0.40297080331026924,     1.200142789044757,   1.7068519076484712,  -0.49499849852562633,    1.3891198893820882,     -0.317367177066519,   0.5959733163155282,    0.41104054882647933,    0.6212322052062077,    0.9862365266848143,   -0.8828361089165955,   -1.6855958466282477,  -0.8123268693588609, -0.7018628034109169,   0.9628934861177091,     2.957625363156477,  -0.26695908744867475,       0.26977389163625,   -0.5265349105068017,    -0.4008202552904059,    0.7915354041843312,    -0.3146468323664062,     0.5649389877663191,      2.265990848289316,    1.1850010556736705,     0.6783239672313585,    0.8462676085214424,  -0.20845366115205402,     0.833515041027476,    1.1492313986756142,  -1.8909333620634634,    1.543161088102328,    0.5028262031349474, -0.46330808617435754, -0.37145773539755683,  -0.5220352405020091,   0.10042663554590615,      2.230966338252166,    0.6474525284583813,    1.2423930680051893, -5.9090549856364166e-2,    0.5412586952130669,    0.7159182041805089,     0.7942765533088504,  0.36035122459543634,   0.7395411197710767,  -0.9486439100987206,  -1.4404492245314544,   -3.2995159208991245,   -1.7752887961961736,   -2.4922652157596996,    -2.426577487136378,   0.3741584106199741,  3.0942001333192196e-2, -5.376739325941975e-2,     -1.520308114415858,    0.145336643001358,   -2.449254907468677,  -0.39440310352418156,     2.1844034425171848,    -1.6340669921643076,   -3.105055778326435,  -7.76493174906727e-2,   0.20393750294030086,    -0.574524226014801,    0.43800996186930685,     0.9525474744973663,   -0.9899818478693814,  -0.3017154689967911,   -0.9745260558158734,     0.9167489038629149,     0.6288846472573891,    0.9785273558316631,   -1.6832819396528949,    -0.3757951381653013,    1.0754288721960665,    -1.5690793234547988,    -2.032967555826807,   -4.494437000172403,   -0.265947049696746,  -1.8787100688125484, -4.149875082488121e-2,   -0.4180702046859507, -0.3253503185780514,   -1.4695086913696216,     0.4606394877201262,   -1.1658536299634723, -1.2368376814808986e-2,     2.126611817393058,   0.5070628027342015,    -1.1759343053074047,    -0.7247283723074215,   0.5477794475319757,     0.2683410646071853,    1.0585945534483723,   -0.17464123093763684,     1.1858878744098844,   1.1346429752351135,     -0.334744293501573, -4.413948539152233e-2,     0.6626532988777195,   1.0969743556653244, 5.213194395856071e-2,    0.5445256150590421,   0.25717026031824897,  -1.1278941682490782,   -0.9220447926882889,   -1.7736995081963571,    0.46747250740073415,     0.9181424478916117,  -0.14599096723959534,    -1.955839232607833, -6.448439046430209e-2,    0.6817743825856921,     1.2903273250364469,   -0.5441744922812684,    -0.3124919521285628,   -1.6054678503827666,  -0.4665077364936903,  -0.37613231203431574,   -2.379201965776333,   -0.6086938491544949,   -1.2031062997791433,    -0.9107405159711498,  0.37522203952101946,    0.7764957778095851,    0.820502828122272,   -0.6709573784517554,     0.2378098890577575,    1.2581378604158908,   0.40712754784664196,   0.9761637032312787,   -0.8964291257867861,  -0.22592951085253135,   0.7354867785207543,    -1.7726164894519334,   -0.33100557291797134,    -0.5757014416758908,    2.461589568379072,    0.6181967294583016,  0.14142503619246663,    -0.4943975508595597,   9.397330514174375e-2,  -0.8974374740190181,    0.3155341714577743,   0.9617596910375827, -0.28419330837048257,   -0.9192187292062921,  -0.4972559709056838,     -1.406934662953631,   -1.1296475362015213,  -0.2573758556721949,    1.643016521672108,     0.998701984500833,    0.4727635630855389,   -0.3519398687453547,    2.1718908632178966,  5.966625633660756e-2,    -0.5661108114033107, -6.456666447441142e-2,    0.8742152610899026,    -0.5331725896334264,  -0.6927358129251786,    1.6243749596311137,  -0.2719499549076864,    1.6831499591401269,    1.7629668354761463,   -0.46600796786538373,   0.22600040502778235,    0.9944352001604415, 4.6724507220897875e-2,   -1.7606464182876453,  -0.5388485684003166,  -1.5482915269995239, 8.371991465501018e-2,   -0.8706374379372429,   -0.6764209468783284,    -2.4761863549625795,   -1.2070137540472634,   0.9342085152667091,    1.1926478894961796, 9.713416772440936e-2,    2.7601375045972105,    -0.9910548618929911,     1.300806795527481,     0.708382902864469,     1.3468357397811903,     0.2609065352394112, 8.453514339212599e-2,  -0.18805195690702253,    0.2528249347269488,   -0.49034935548695885,   -0.2751240667503092,    0.3951463562595876,   -1.2480738304184116,     0.8301763291380659,   0.13634698682565854,    1.3813159887969197,     1.246005445535371,    0.5096002927213776,  -0.22783379525278102,   1.1075739894488579,    -2.831669614707627,   -0.3937585510962379,   -1.6103200903809305,  -1.9358002587247969,  -0.6915440562581693,   2.6254870215123263,    2.6441526152836894,   -0.5825583050998587,   0.12738934134334334,   0.36395419330390616,    0.6042928217800061,   -0.9092124224159588,    0.5864109883657901,     0.9268385902444296,    0.24735856096754136,  0.30780314199134867,   1.4925566881326067,      1.856721805408423,   -1.4143464568762893,    -0.7495511317697381,   -1.6678248714441413,   -2.119088824475399,   0.6946814182727715,  -0.6857544530921645,    2.2775654149013365,      1.651991477628631,   -1.4887159554177207,    -0.558374959017382,   -0.6946734327705066,   -0.8229466173027579,    -2.846338637658353,    -0.9721477640992825,    0.24170835954110806,    2.8380279428515855,    1.3032735252171468,   0.8360560313772195,  0.6303929593167282,     0.6927479018892677,    1.9611762473338075,     0.6404403855865807,     0.7635035495661957,     0.8716336692180088,  -3.259527451500979e-2,   0.45451339745154645, -0.34400756007810324,      0.432357033002197,   -1.9706129411902178,   -0.10219442212195885,    0.1413177600227447,    0.9652597466227794,   0.23067162133696298,    1.8139506989666767,   -1.9572400098862721,    1.6452073913906335,    -1.4722376950529381,  -0.10146432576731672,   0.6057938760241859,    0.19885723736804967,    -2.676881342967169,  -1.2029220258464617,   7.819427363236935e-2,   1.2770077971346656,    0.6673809294044218,  4.032957397308163e-2,    1.1014261176309503,    0.8034053830952771,     1.278015960002533,    -0.5579459849982552,    0.7640435042268926,  -0.12178694977340153,  -0.23579635043072042,    0.6683471814429469,   -1.0427310910939864,   0.5969049798339873,     0.8264314334501149,    0.7965431823590943,    -0.5001553860117297,   -0.4982415521765032,    0.7034745619516259,   -1.0272732030845522,    0.8235620192900684,     0.5623416014866006,     0.7156123128215943,    -1.1424802747418739,   -1.0822714708126817,    -0.9055349625307256,    1.140613571488226,    -1.7630878434289865,   -0.7159817860637558,   1.3881999808563144, -0.49357263293708875,       1.8421238084963,   0.5141196244005101,  9.092101481785222e-2,      1.013572814342367,  0.46762599904525615,     1.4596491936135543, -0.36578731516192764,    -0.536784305379273,   -0.4000169467118256,   1.0387499809349854,      -1.00134041472434, -0.48034300729583074,   -0.2633064680469742,   0.6383932397720384,  -1.0450068347752595, -0.42763962360127183,    0.625277860367589,    -0.7069813833157859,   0.39028516529551044,     0.577725895740649, -8.044671822562554e-3,   0.6623693094118707,  -0.7125409996493965,    -2.268562268002234,    -0.9171187755723375,   -2.3485641889335236,    1.0564712144285031,    -1.406632202367656,   -1.1557594245763538,  0.24799004886973497,    2.004424676571305,    0.4409098316572375,     1.191049165008749,   0.6385797258269439,   0.3064825466369796,   -0.6389787842757797,     1.4482089920674974,    0.7994272070851612,   0.30122571921339375,    1.5536433313927631,  -0.44186419267470844,    -1.119692567497508,   0.12696252741118916,   0.3935343437634779,     0.2741477521019409,  0.19665244272940888,      1.066199135950545,   -0.5043465470563618,   -0.7331717180335463,   -1.0209095079256454,   -0.560830276538424,   0.5179179634570963,   -0.4837247397547557,   0.47247427795947944,  -1.5680124620001887,   -0.17606299234974068,    0.3703310460705204,   0.48180804394980886,    -1.209943978056024,      1.554624700730639,   0.9972494027416061,   0.9272914384327641,    2.0208936825819688,     0.260327887250318,     1.6533569047360135,     1.279027916377982,  -1.2903752316115846,   0.3817573342127303,     1.557900976215334, 2.8158159627424583e-2,    -1.103719194711392,   -0.4033321001263608,  -0.9801783266381893,    -0.7206707215769041,  1.1934951748606808,    0.7185008523981071, -5.0861909525595494e-2,   -0.19759198227121727,  6.900819699293635e-2,  -0.9655213345569569,  -0.44351594729236693,    0.1638894938146388,   -0.9583609800349039,   -2.0479657971463983,   0.8352892990118175,  0.21020175762485802,    0.4712596955094008, -4.4372198573494316e-2,     0.6910950190736278,     1.9293948005586643,   0.13814654257790882,    0.16149534077552566,  -0.8084657777208007,    -1.2486105071904037,   0.9411421710089534,   -0.38054696642187463,    1.4178245431210978,      1.289192022456796,    0.3921318079542511,     0.3638441389320098,   0.12095105348361967,     -2.015987056111249,    1.2152901601911998,    0.4990111595539467,    1.3647989211156846,    1.6001779909459717,    0.18450628412485154,   -1.4172427771212592,    -1.5122715075192343,    -0.7182134669821785,   -0.5876977387883172,   -0.32175016009043395,    -0.7779805800813534,    0.5956443320839266,  -0.12366617040165542,    -0.6698611242871421,   -0.5655964246986469,   -2.0741681653550796,    1.3049246538174912,     0.2488894691390871,   0.12339022380356378,  0.24617097153093717,   -0.9707426180643896,  -1.2140562189833173, 1.0935731638296083e-2,  0.12687931957454007,     0.7364625339113117,   0.11491736269553834,     0.3810787232320521,    -1.3064098321263073, 1.1060583073975539e-3,   -0.23451690534044684,   -0.8111194211172853,  -0.8369875050167587,    -0.2605894586132803, -1.1681561800537511e-2,    0.925998902575281,   2.4003358838872706,    1.8749469744544276,   1.3648077185932654, 6.1732759253210444e-2,    3.231288932868687,     3.150083116166513,  4.011998608661561e-2,    1.6947545997609943,   0.21023560460576063,    0.5332589676597798,   0.41326656679473184,    0.5750833560753721,   0.45916682213636983,   -1.8289870913832729,   -1.1319612923782953,   -0.8043960241423099,    -0.1597763209781805,     -1.843250029986907,   -1.1440118369504768,     1.8148711778421314,    0.17011305958949066,    0.8224344144375818,   -0.9586709619221389,   -0.7798511729545077,   1.2522555036621494, -0.18740699936244032,      1.205236386830381,   -1.8474940250641392,   0.3233371559589995,    0.49299543960987724,     0.5923916266734328,    0.7798924018648664,     0.9867544868385705,    -1.604444366632111,     0.6268068478133401,   0.36848430430828516,   -0.8467487508661092, 3.3668844558900467e-3,   0.16611357391665832,    0.8426536557336081,  -2.2116199915516734,    -1.4773619821964108,     1.095139644144234,    0.9600498317970779,   0.6253912492539976,    -0.6218459277449272,  2.559477884751855e-2,  -0.7428024237769292,   0.6906992306292598,     1.083236399824188,    -0.7618179307820213,  0.22770427022131293,    -0.8371605549376815,   0.5660540102642303,  -0.17147957755929374,    0.42443359435400235,    1.5839088797688856,   -1.2964784704980443,   0.3746139580947935,   0.10117304075028648,    0.9840012653030499,  -0.42220902282084677,   1.2359639299933665, -6.981919448613412e-3,  -0.14746281223342858,    0.3161258162389226, -2.1077358241260953e-2,   -1.0635489847349011,   -0.7645703625223382,    0.3149102409888528,  -1.4934527749125348,    0.6341446450483849,    -0.2801784139220553]
+    ,[     2.984303462373175,    0.9556899430464725,    -1.403226593282855,    1.8422162655878682,    0.8259520309733867,    -1.9905054694421738,    1.4612415627671989,    0.8756775964006924,     -2.611813159577331,    0.8792471896734734,    -0.764509764063349,   -0.27925585717193274,  -0.22173061228136437,   -0.7433800258279532,    1.1608297976707347,    0.4112071983276189,  -0.17888223466612602,    0.7565111087954418,    1.7608749331882312,  -1.0236342719414442,   9.500022586879303e-2,  0.32176068122216595,  0.12957923347253641,     -1.31564872390091, -2.8734408823498238e-2,   0.6287356102380793,  -0.8626859224133174,     1.0861599928813568,     -1.166053325364693,  -0.31564718316301066,     0.4723677317119887, -3.735382152735471e-2, -6.708938700781628e-2,    -0.7840407437441249,    0.3646369321741151,    0.3912505409945038,   -1.029364291166504,   0.42501060726240936,  -1.6102507817256475,   2.2133889664554864,    0.1418659649766301,  -0.9538253124754814,     0.3051200726685129,  7.68438268830615e-2,   -1.5794323066782472,   0.9649461414336477,    0.2696921704493284,   1.1103918143845546,    1.3393935978940914,   0.31783311753122984,  -0.9054599858048168,    -1.125193353625108,   9.830743658447484e-2,    -1.448960588571183,   -1.1206007473070347,   0.16769338996992478,   -0.1826588272733907,   4.10406511917585e-2, -0.40393564540469934,   0.4290821356267165,   -0.6696769883729314,      -2.0186331454588, -6.037287724147501e-2,    0.9151437784170393,    1.1846377948682822,    -1.3267311570817573, -4.407810087428677e-2,   -1.5982103077266183,   -0.8414980866799062,   -0.5903843567281051,    1.0423220551200787,  -0.3462775293604547,   1.5201621819294704,    1.013545977960058,  -0.47563516400411826,     1.1554857295865413,   -1.2785144498368193,  7.143352179702303e-2,   -0.3190294447239228, 5.062715610576224e-2,   -3.1117194651574827,   -0.5692459627100939,    -0.3408304151188793,     -2.277409631937402,    3.2886242447208045,   -1.0192738771941687,   -0.5460008211985058,   -0.710248984415843,    0.7350199788690304,   0.5533364800127817,   1.7086351149806214,  -0.6836220770246636,    0.28313973296872486,    0.9886142154773544,     0.7034239554041712, 4.3080415127488884e-2,   0.19975422996915757,    -0.6299849522073594,     0.1749358875433863,   -0.8961474661377247,   0.1154885921664087,    -1.0002140996350959, -1.2353106069731917e-2,    -0.8403585536685484,    0.7893599118962134,   1.4801649250770224,    -1.6389162517961953,   -0.4287867231954867,      -0.36742624332842,    1.9904336235164042,    -2.918464736776453,  -0.37113459685273253,     -1.978733466234843,  -1.2127736915626712,    -2.330696948016836,     0.1134838515408953,     0.523754196405794,    -2.6322460774382552,    -0.6950517841262244,   -0.9882039875564975,   -0.2343019905312765,   -1.1096370826022983,    -1.4716704683037194, -0.10599971476644651,  -0.8067451930952125,   0.29718252630365827,    0.9132783884993448,   1.5107792262823894,   0.48410920052677286,  -0.3118206905008765,    -0.218415702985218,   -0.8920711149593454,   0.45172620838319233,   0.9348698708624543,   0.10132130000386645,  -0.12243998347813648,   -0.548900536882939,   -1.0725960748922558,  0.32063554125922406,    1.8026391969810276,    0.1272619012383673,  -0.28748869814871997,     0.7683627447062461,   -0.28083532811594875,      1.181697951993933,    -0.7960906860712506,  -0.3373670856793834,     2.536030116252817,    -0.8057057760523766,    1.6340318159657128,    -0.815529608043958, 1.995335330374548e-2,   -0.6693634694995632,     1.4876865686085452,   -1.5698203952113003,    -0.9861027419630575,  0.6839481993652438,   0.2780602601210872,   -1.3761975515408083,    2.205775621877156,  -0.16254749179695774,    -1.6933531291048043,     0.5554272482063137,    0.9640266709030182,  -0.27798544351739973,   -1.4747909970158377,   0.10266423061288263,   -1.1557230452484646,   -1.238967014834681,    0.8988901802334317,    -1.1180896062534231,   0.13836674984685315,   9.357995137790881e-2,   -0.3478364359557747,     0.8338803606673052,  -0.24687880626783337,   -1.5321841986622087,  -1.3351813395557437,    -2.1735701316397136,   0.5653929421081269,    1.094071186127308,   0.15433715272858542,   0.4013936097883249,   7.266283588058592e-2,  -1.2098920107566882,   -0.7529731657776839,   -1.0276887293384935,   0.6928228534809505, 4.3851581297608626e-2,   0.6862118292046552,  1.429616792991226e-2, -0.48078787488269203,     -1.214088873411907,  -0.30340571503325553,    1.1145903554443706,   -0.8974760536485415,   0.3907611614632747,   -0.11169187927577175,   -0.3993141593539176,    0.9129422881005601,    0.9839666244300123,     0.8144450871925377,   -0.912487926171535,     0.8102045881804921,  -0.1919957063744956,    -2.011992146349524,   0.39679616048769756,    0.40236687782523173,    0.8063362044720608,    -0.3593961691373339,   -0.7595364269290603,   1.3642598270706179,   -1.0070097557943798,    0.7036571435873692,  -0.7357435391985261,  -0.17213684688889308,   -1.1006122954889113,   1.7206445655978855,  -0.17703761203045296,   0.37146785393901277,    2.0285998034566965,  3.1781495504700816e-2,   0.16134817480050834,   0.10189322959249374,  -1.1017705792322714,    2.91237964475607e-2,     0.3362570801093356,    0.5379353826241543,   0.8504368753494116,    1.5182536079501936,     -1.621230082771848,   -0.7859698798870906,    0.17254414658436024,   -1.2288659134603732,     0.1798142129842291,   -1.0873694117282906,   -0.16076063322347775,   0.1094587129435191,   -0.9206250886921831,  -0.44445037801124876,  -0.14125095753873765,    -0.8746429352913292,   -0.887456418651877,    -0.391725643426539,     0.6277242805199581, -0.46555352248273163,    0.546770842895462,  7.837264252733655e-3,    0.8428674233393673,    -0.8776756115988401,   0.48949557692321294,   -0.25349509141764576,  -0.2721810898746989,    1.1139403363552858,   -1.1473272039697318,    -1.017464227130996,    -1.7092404923599813,    0.47683643593374553,  -4.110103401775132e-2,   -1.5360951695003913,     -1.207360864680595,   -1.2854637792783892,   -0.7504378258748551,    -1.031473039430193,     1.848466125368165,    -0.1632635122358453,   -1.8707524025292543,   -0.3547277026778416,  6.832510350167269e-2,  -0.9972603992534894,   -0.5179005722942573,    -3.0363193720436907,    0.5856180694820871,    -1.320420603856227,    1.7572537282262695,   0.46196060349677737,   3.888505722532138e-2,    -1.034124620914106, -0.38945266640901116,   1.2470540361273887,    -1.190992944192647,  -1.9968599945099588,    0.8569126421918223,   0.6040464832847587,    2.1068821158113886,   -1.0665162697802182,   -0.49746275506615517,   0.4527977319375065,    -2.3283101475824752,   0.18602007794978315,   -0.9409492046660212,    0.1908429354232155,   0.40573978958796064,  0.43004169872943154, -1.3600601464590067,   0.6706600619685059,  -0.48055296125225055,   0.37952021399980657,    -0.5725088223959282,    0.3277786615706382,      -1.90651836332892,    -0.365370561765977,    0.20444806682510003,   8.221911811595922e-2,    -1.4931178719959308,   -0.7636626581395801,   -0.10428877813217254,    -1.465747713929992, 4.4181516173197856e-2,    1.1855267172844062,    1.3296518108164077,   0.8959647033135759,    0.607596514514104,   -3.0349502883893025,  -0.7559380022337033,   1.7245093901434236,  -0.9985947611565581,    1.8191882896213332,    -2.3573702795828204,   0.21396268115309802,   -2.5207388579232326,   -0.41598214844075354,   -1.2881674578528186,   -0.9506946427937077,    -1.8449870903550947,   0.7477163272682014,   0.8957157989611844,  -0.8140684274935601,   1.2603816925187448,    -1.263162398861992,   -0.5502807786461063,    0.3861980110677589,   -0.4293619617545547,  -1.1897058744554736,  -8.018597617382614e-2,    1.0888926578219542, -2.7996477210720887e-2,  0.12421135934426744,  0.33056969487404114,    -0.568001208630604,     0.6431658165476646,    -1.2786491390220223, 9.197821046193097e-2,   -0.6078600158664138,     0.945722216649722,   -1.1998340184282505,   -0.13504840157062242,     -0.921189289542513,     0.381839655821594,   0.3767385329242796,   -0.4389218160010317,    -0.8612028758173973,    -0.4023507495522387,   -0.9644723684720816,   -1.4906396727236686,     1.4308678572489506,    1.1115476660867827,     -0.519706926887335,   0.13529354748137784,  -1.8193127772659186, -0.21243681144998955,   0.2981009523973019,    -1.276199286737201,    0.3475980320885623,  1.0413737002087404,    1.8778687563504104,    -0.2175115925971816,   -0.8111445338609637,     0.5400826560050144,   -0.8777408547158121,  -0.7899111091117381,     -0.936066158297491,    -1.1571292806957092,  0.47613055240662533,     0.8371011584329787,   -0.5215447411171558,    0.15560095254492312,    0.49691003043944615,   1.5643976132094801, -1.3534942707404669e-2,   -0.7550389418570278,    -0.6838851943657226,    1.359542773505592,  -0.3466957441612934,  -0.36365577682949046,   -1.1677854287655909,   0.5880272236918083,  9.843653835266154e-2,   0.28472250004615834,     0.4613539573226781,     1.2234620285149735,   -1.0657425187847862,   5.48668964397271e-2,   -0.8673925554915205,   -0.3813638855605411,    -1.4270280851609183,    -1.088596449526089,     -0.844460218525439,   -1.7553508877213193,   0.2734709851251721,    2.7320227219495563,  -1.1728411404523194,   -1.3759242117787034,   -0.5352575214240336,    -1.7124407468492975,   0.2088090966916545,    -2.503524081653756,  -1.1784305129641708,    0.4013724940326257,   -0.44788809820757675,   -1.0762491898412738,   -0.8138242658232318,  -0.4234549560161178,  -0.38728316385408457,   -0.7689703680022828,  0.10106215284281114,    -1.4696814732369996,     0.5576503266607457,      1.193101138656413,   1.2432002228655832,   -2.4434916522449983,    1.725979123301203,     0.9536821736747226,     1.8498594311309486,   0.6811541449311176, -6.981120259225253e-2,  0.20678202834505524,  -1.3711526016563673,    0.2551054198582904,   0.7290770308614154,    -1.1852915371944515,  1.901241507122236e-2,   0.6267037457505024,  -0.6974242719165035,  6.974423611983134e-2,     1.511004825834532,   0.22655175716700202, -5.484803170435474e-3,   -0.7858581656129197,    -1.0072432473325197,    -0.970416773021662,   -0.4367731050705086,    -0.7320005352425222,   1.5257465043564629,   -1.2820905395120323,   0.1432110367849649,   0.19267538160801898,    -1.517130793785503,  -4.805505686721045e-2,   -1.3376498147657572,   -0.8824088643540671,    0.2952047696560126,   -0.2679568478184138,  2.35281269216691e-2,  -0.7058022836850334,  0.10402556284527238,   -1.4241666937781692,       0.2883610664768,     -1.654236541270552,   -0.5116442702126391, -0.13450776350215812,    -1.573180494786324,  -0.7733921770184584,   -2.8291207333112554,     1.4348143331392542,   -0.5524759797068078,   -0.8521733140765189,     1.2018853218821375,     1.5384863333707073, 9.964135298809276e-2,   -1.0529604079897759,   -1.0013151557604727,     0.7501218112340609,    0.8136167502637813, -8.385403629069399e-2,    1.0923635550594468,   -0.40667086542946906,    -1.260775244377037,    0.9733524049781578,  -0.23105224415111228,   0.48943779280272026,   -1.4372928653945496,  0.32233753856306996,   -0.9183953009209697,   -0.3221784063460912,   -0.9855128068272185,   0.7839598071251676,  -2.3121276625857283,   0.8052592159860182,   -1.1684392585911032,  -0.21701955305892032,  -0.46094865701572707,   -0.6309817828362658,   4.38628159119528e-2,    1.0967860856202936,   -1.4789779809845445,       0.98428742042614,    -0.4290178892135266,  -0.6663601750550193, -0.29949601627034167,    -1.7121663922903714,   -1.4004589147684e-2,  2.6947722435901846e-2,   -1.1412255270388927,  0.37731191480986337,  -0.2216557393610359, -0.13857085314059847,   -0.2924082343394927,    -0.9093067761299245,    0.9907861045169929,     1.062722119329799,   0.12112036405215637,   -0.5680196117210338,   0.11468498512128149,   8.738023469057653e-2,   7.737608994957684e-2,   0.14115517907462588,    0.1066661856018631,  -1.7995820295897351,   -1.89380466370713,     -0.827468738938563,   -0.7067518892152611,     1.0670174474695837,    -0.7819577267950849, -2.3263277100640453e-2,    -0.5371492177350936,   -0.7951786089244145,   0.5223839726752236,    -0.8103340191878046,    -1.162257453739798,     1.5794552574528453,     1.334124783282834,    -0.915355826478742,    1.1278842203269666,  -0.19844725093065038,     2.456941559621869,   -3.2935123726101354, -1.6306786587492012e-3,    -1.304784936096674,  -0.9959926962844936,   -0.43906727403886187,   -0.1724015639662007,  -0.8731744853164117,      0.564460932177484,    1.159563831792532, -6.209948097859377e-2, -9.304389962060035e-2,  8.774673967888079e-2,   -1.5922461465601336,   -1.3112138409965595,    1.24579153003515e-2,  -0.22450848696769626, -9.248560773254928e-2,   -0.6407127736558897,   0.17676629174812314,   0.13995966347451128,  -1.8276759431201384,    0.35234975006751534,   -1.5655065591075736,     1.4783231319415295,  -0.36547921848317744,    0.5963284420106031,   -0.8505397947904112,    0.6996463291291196,     -2.386159334213562,    -0.2733986552276311,    -0.7956778862331046,  -0.16364962315448037,     0.4268031829792079,  -0.8042636112770404,    0.28068982433188777,    1.4463951710740284,  -1.2380109699469177,  -0.7512680626672315,    1.7343560991166869,  0.25077437399551084,     1.339410469989946,   -0.16467948019249068,   0.4489968902964935,     -1.000524334870374,   0.8391012347334472,    2.0920556973091875,    -1.074746773708327, -0.39237959007970136,    -1.5451477203432888,  -2.1892637356344316,   -1.1864849364731076,    0.805555654755131,  -1.0783545347154193,   0.4230772721227008,  -0.5955331031945897,    -0.4705562933131618,   -1.5076958010781005,   -0.6552742968205736,     2.332296532472047,   1.4637609575393342,   0.8686620400174836,    0.7725311247078355,     0.6809555496805256,   -0.1628783730691704,   -1.1517443736713453,    0.7314617573284616,    0.5314122198931838,  -0.5402113633841839, -0.12072787644693811,    0.5794604941046736,   -0.8921733290330199,   0.9057533675438961,  -0.9136959527829221,    0.8945985462719822,     -1.445942090860014,  9.925899266437489e-2,   -1.1955120668509995,   -1.8584728499836867,   -1.1182700581561285,   0.25135518632719156,    0.4927115942044722,  -1.3021961289343298,    0.16539025371000865,   1.0953596190036596,       2.35025060962481,   0.40836327828922253,    0.2928920206473153,   -0.4216475121067102,  -0.6643801908318265,  9.42196681357225e-2,   0.28489433277973236,    0.7366286856320033,  -1.2899182644202725,   7.159108817162067e-2,   -0.9387373157904356,    0.8004648717350799,   -1.0446825441340812,     1.7378278732332308,   0.2834363491454801,   1.5614519972196135,   -0.5773902947125846,    1.4294450971017059,      -0.50551898098146,    0.6653754351563045,   -1.023777495876374,  -0.3312901957244916,   -0.5601596254821402,     1.459882579254279,   0.10732995929696552,    0.5062866062328902,   0.5218839985955955,    -1.2842605779800351, -1.1501541111785885,    -2.758447575160031,    -2.2854188817532552,     0.6691844045413727, 1.7498543683822115e-5,  -0.5660920959649884,  -0.17400854481446593,    -1.353677936001136,   0.49773346540067387, 4.1713676819273904e-2,   0.7193013962861795,  -1.2232301488438027,   -0.5920080613985597,    -1.4779331502818485,     0.5881548699645223,     -0.317970144994205,   0.43092461373777086,     -0.573818975506474,   1.1034999903224805,     2.6127584882318597,  0.33700991574989514,    -0.8592657339729352,   0.14850231260685057,     -1.716432090842423,    0.9738820094323606,     1.0076264696862518,   0.21359675348208254,       1.60687152835612,    1.4577365260780217,  -0.11364402297853018,   -0.9072507704743733,     0.694158264384108,   -0.14343592162150312, -4.807644551027513e-3,  1.7267019452171187e-2,    -0.5873229593458164,   -0.9148478486147344,    -0.9439946165023037,    -1.3153976571672812,   -0.3311787959995277,   -0.8775123443708522,    0.42891851730373215,    1.2354162103109965,  3.783305620280103e-2,  9.002089397625795e-2,     1.5220579530837461,   0.10390988937321975,   0.9415365999241975,   -0.6653891301548966,  -0.2772199172329484,   -0.9731480153875836,   -1.491479973522493,    -0.6708663563027997, -9.910035580263274e-3,    -0.3998429908643146,  -8.774317192279098e-2,   0.17983113518565366,  1.8115577616978257e-2,   -0.4323691684626695,  -1.6509582040434299,     1.1571746192006347,    0.44135290079884315,  -1.0640546735741847,   1.2248276738309432,    0.4522863226387223,  -0.5383101629830801,   -0.3842920457909643,  0.45545721634225517,   -0.9031653152513947,    1.2050082103178645,    0.6047717647143799,   -1.2326070441861996,    0.5241845836340737,   -0.5829784031874045,    3.1375074487230945,    -2.438068346868439,   -1.3058500122231398,   0.25252510579124754,     0.275820349346556,  -3.110516523915725e-2,   4.672477773971591e-2,  -0.19060348331119437,     1.0906612012849952,    0.35457081317148004,    0.5333212509289892,   -1.6814765059327925,    0.9352498168345146,  -0.2794410377010562,   0.8757287498642549,    0.16734106527276504,   -0.6449095176407833,  -1.2816388564847845,    -0.4661642128174638,    -0.7154827533450681,    -2.468391624687397,   -0.35556011980925134,   -1.1950483044472733,     0.5973390642139924,    0.8276775656212769,   -0.3889993428793932,  8.130827189553477e-2,   -0.6301010132141887,    0.9850225212682651,  0.11452881958387018,    -1.8830205980341648,    3.6699333568199077,    0.7625117559070881,  -1.9122095941448782,     2.2639116661586525,     2.452221582596613,  0.17949099826640527,   0.9634905444328934,   0.46609117333682526,     0.6280607568707822, -0.11144093637332476,    -0.2985288017952241,      1.0401638670372,   0.11914774629171979,     0.5383013833210873,    0.9353562490345128,     3.184918718224155,   0.5324822318976926,    0.9192496590186284,  -0.22869090862299823,     1.235461172162176, -0.20195866916310243,   -0.3518300285191018,    1.7452182095594737,   -1.5054908715742035,     0.3039136623511867,     -1.30265704619377,   -0.9610652057111004,    0.2640480273423554,   0.5758836670339396,   -0.6162586716041625,    -1.1256812001913066]
+    ,[  -0.13378894359187385,    0.8345200846228538,   0.38152293187777225,   -0.5428672775332782,  -0.25134965453397934,    -0.6515178257487177,   -0.5916865702769687,   -0.5156970203081761,    0.34363361197236797,    0.9579313439011681,   -0.1899643427194865,     0.6251962300711478,    0.3232443441547047,    -1.366599813380732, -7.008341113977745e-2,   -0.2670387140683182,    0.6488800254787154,   -0.2044920857327258,    0.3503076579345193, -0.19257990438125233, -2.6128936839810154e-2,   2.4645614288815905,  -0.3586965587746606,   0.38046686514515415,     1.1767981777220147,   0.4186636081027153,  0.17603640143727095,     0.2890581682385664,     1.4139391416616789, 4.7879103877436616e-2,     0.4910276500876325,   -1.3855253239185317,   -0.6346963811273868,    -1.2530500298940124,   -0.8001418912932289,  -0.18556585090300137,  -2.2626795945175893,   -0.8975361832057506,  -7.5609120776321e-2,  0.22571263339400105,    0.9872006381835191,    1.276274495935283,     0.2154503508594766,  0.21130130935946506,   -0.7197283647683931,  -0.6972299986325228,    1.8061255051086753,  -1.4099313763806711,   -0.7598009357519084,  -0.12180290118400644,  -0.4743854138133073,     0.995297871566071,    -1.5945923126964738,   -1.1098634665839688,    1.1084690724837571,    -1.572098414513922,   -0.8459536180862215,    0.5127821773966401,    1.619449639671893,  0.39795001542864294,   0.10205508258258171,    1.3193904900531226,    1.4905988743529246,   7.54466705816564e-2,   -0.3542680219084637,      0.807730085352006,    -0.129328760691516,    -1.213173622721028,    0.7797704113384841,    0.3538848340138991,   -2.5125968521468316,  -0.5878743200824439,   -0.883677854377247, 5.340270204996639e-2,  -0.48922834269855797,    -0.7003506644631927,     0.264233960809171,    0.4951883455971282,    0.5398640910624141,  -1.4439092055374296,   -0.8815835802820752,    1.1041330765636288,    -0.2903997370224826,    -0.5657993827281858,  -0.22452651036437468,   0.19178299389334347,   -1.1921254455082675,  -1.2242879725048483,    0.5614219244030872,   0.6299283727279927,  -0.4805828192571692,   2.1542219117987544,   -0.22320677781918927,     0.381892347076901,    -1.6032664036193551,   -1.0050529542830413,    0.4034530202323022,  -8.970493152238803e-3,   -0.38935140479716424,    0.6193569571706439,  -0.3091311135708459,      0.685901760272479,     0.7440596373884735,     1.1116207718855962,    0.4881560963838852,  0.17365988905634697,     0.1831272050512582,     0.502220639627407,    -0.5072563158475082,   -0.3265697922280465,  6.981118618951668e-2,  -0.20983044545129786,  -5.745325551432481e-2,   0.1924754393956099,     0.446245741177335,     0.5122884011272505,     1.154544664985838,    -1.4332984453177404,       1.03226313805569,    0.9816747934354304,   9.41473157334085e-2,   -0.2833090034721575,    -0.8539396734484431,  -0.5635303656457622, -0.12088979187866612,    0.7657783590527956,    1.0033601654451434,  -0.7657004331535359,   -0.6025257501643327, 7.752439676859943e-2, -1.598188567156307e-2,   -1.4563994331536827,     0.538548153392608,   0.5976054689864099,    1.8268726603340475,   -0.7288551482980306,  -1.1375847198612323, -7.851236981242085e-2,  -0.6826076322752147,    0.5758929436137626,  8.401659921588532e-2,    9.8294635282636e-2,  -8.121447436744403e-2,       1.32630793191322,      2.280326727351787,     0.2045989550570959, -0.32076719331614995,  -0.19031371724928353,    -0.2836695814421271,    0.6003611345615615,    0.4679186227313389,  -1.4397904791653244,   -1.7405434354858382, -1.9515836565888903e-2,  -0.38614508694565697,    -0.6554336257313069, -0.8945676272422105,  -0.6288336268509523,   -0.8110643400737555,   0.6096753885841425,  -0.10018836940508771,    -0.8756796339934263,     0.7976743254137024,    0.5697570602150647,    0.7633754867638911,   0.25465872518235183,    1.5424313778329304,  -0.22865364188285348, -0.36119242302410176,    0.9059563397263009,      0.978051147302103,    0.8986801788667366,      1.920854302303472,  6.407874373409747e-2,      1.713848656640488,   -0.5898567524644345,    -1.772523632154465, -0.10893325789635404,     0.8204164932431073,   0.2225277135075981,  -1.0279881436897396,   -1.1040726160297605, -7.93181627070578e-2,   -0.48835323028991395, -0.11626573818088462,   0.15105926657605398,    0.7242894513463639,  -0.9255691192534214,   0.17745161762549264,  -1.9449309128127341,    0.7081088320486881,    1.532627230453426,      1.821025849726201,   -0.3225137840588804,    0.7443943015129302,    1.0190097424700824,   -1.593667535680636,    -0.1764433967215445, -8.739177769491961e-2,    -1.248695013163715,   -1.3261169766748837,     0.4561579397253779,   1.3592108990632792,    -1.9499596588395458,   1.7787055043246849,   -0.6983513004591011,   -1.7903537061689399,     0.5612802722780607,    -1.155366899029651,   -0.10865792623140764,    1.3896925257323323,   0.7413776234439223,   0.16266897770167155,  7.862713157645693e-2,  0.33504484407272217,     1.081680094372338,   0.20775272306809844,  0.47276578437127575,    0.2776121567219963,    -1.480812205693075,   -1.7501877354336688,     -0.505528697915068,   -0.2544156383097983,   -1.4112217319774933,  0.21098469715012638,     0.7991532045509375,   -0.11406501310620838,    1.0551090384144075,  0.40052450971250936,   0.36762381729925003,  -7.344242287847148e-2,  -0.27897158467295063,    -0.4064076205790281,    0.8963532162105473,    0.48510214572012955,   0.28412831633407143,     -2.658315825059634,  -1.5375714088472159,   0.18593354969513176,   -0.5452372314191332,  -0.17462130593200936,     0.1284150091034341,   1.3917605715938766,    0.9674479180216233,    -0.3062890199210327, 5.975311137933392e-2, -0.24970323174867953,   -0.7683807558519328,    0.8108809531117589,   4.295378405724387e-2,    0.5991519467265902,    -1.7935390209323128,   0.5279084595816784,   -0.8076366749692967,   -0.3143250629683538,   -0.1837027203461648,   7.068601829267712e-2,     0.3622375446482613,    -0.5490534226129491,   0.10160712800125529,     0.7614152346676237,   -1.0855084502847951,    -2.692728693851355,    -2.532318912083115,   -3.0756403308765727,     0.9363833404225392,    1.9714151359715792,    2.3759651155816726,     0.880950834776071,   1.5308112908014408,    1.4642278028101228,     0.5424100399668842,   0.18451192091593652,    0.8169201878896826, -6.899255292133805e-2,    0.6063459662591364, -1.5573644667121982e-2, -6.961321852803154e-2,  -2.3865389415070597,   0.8931591050199775,    0.3335860799083807,  -0.8169319310216503,    0.4739425318953504,    1.012079984244677,  -0.30345937546073654,    0.8867632224060238,    0.45619811812220784,  -3.0310875668802444,     -2.812188903286247,    -3.343231146400566,   -1.7950518952244092,    -2.738354503828892,    0.5055211770053268,   2.0285273607231233,  1.1994798417889756,   0.7400206008607972,    1.3124611422618686,    0.6207505386105597,    -0.2492732101665166,    1.2665961228121152,     0.8051929570381233,   -2.0552868136158993,    -0.8708878130211616,   -0.16023356099594335,      1.369401992129559,  -0.49876267097439536,    -0.8323588620220064,  -0.18945207194429314,    0.3037148570708651,    1.3918385131136224,    -0.529172779284094,   0.9167141750066813,  0.41672879540519253,    0.9202504278282284,  -1.8115228169289515,   -0.596078828655172,  -2.3859777782063785,    -2.062896510992564,    -0.7595785792831953,    0.5666660959796521,    1.6744945203419637,      2.636422046290342,   -0.7295944217806536,     1.995173663199512,  3.2067531466879455e-2,   0.7729823786945016,   0.7405115195427092,  -1.9026272054459838,  -1.3017499580761684,    2.7041378079835243,   -0.5390244829666374,   -0.9183213040460738,   -0.7160629970548115,   0.7432286900242853,      0.322841827816114,   -0.7840357736005137,     0.4933811369021802,   0.9401231633679495,  -0.8053671813831677,    1.5153494611254918,      2.921474932235396,   -0.26726105461209443, -0.41952438929223684,   -1.1718560072094009,    -0.698946260059578, -8.667513010896331e-2,     -0.871040581736032,      0.492502687814982,    2.8840918136184777,   1.4013735853980267,    1.7370037769389284,    0.34766742812452056,    -0.4716444111073207,    -0.204947289483406,     1.469136900281852,    -1.2652881242681424,   -0.9760196864432984,    -0.7928763105867886,   0.33520650923736667,  -0.4376108349620821,   0.9644518043123572,   1.9908257199772021,   -1.4068981308310389,    1.8566913398606988, -1.2976038419813851,   -1.3636859076041046,    -0.5416149439932962,   -0.8281250275666018,    -1.1218384725145016,   -1.0752193521547213,  0.47092406326588354,    -0.7470305090519986,    -0.4660950137667297,  -1.2050961708832593,     1.6585170703232857,   -0.9288945227618379,     1.6728292681100854,    -0.1456157946521164,   0.2973153186674908,     0.7849051206175669,   -0.6700244710246586,     1.6573637535598549,   1.7403276350110248,   1.2803240659910227,   -1.1940581855477683,   -0.7076764655810398,   -2.184419458259795,   -0.1935455803242854, -4.927422099249113e-2,    -1.1631164916276682,    -1.0594077855015809,   -0.2284077140246111,   -0.9868599883385297,    0.4613137234327495,    0.9958869265068339,     0.8804404402856585,    0.5821795054790584,   -0.14771847884991163,    0.4766811164106877,  -0.9301211554376021,   -0.8923024180033711, 1.188697733089911e-2,    0.3092654911687922,   -0.5893651852263518,      1.300420350624685,  0.18357927129334317,    1.2937597738731792, -0.37792818104373893,   -0.2424995392451495,    -0.8144280261634731,   -0.6553378194981853,   0.47125152541035625,   0.8153135609935497,    1.0242168993526692, 1.8753960096875424e-2,  0.16477641268193896,     1.1068727635976232,    -0.3416636604203364,     -2.354408370230478,  -2.0243560318624243,   -0.6918650492626729,  -0.4496567352091954,    -0.8856188050439449,     0.7025076491344746, -0.23977296055735622,  4.685521895129382e-2,   -3.209104489080989,  -1.6087629576853906,    -0.944707945341558,   -1.129741471861959,    -1.0066291267578846,    1.7472367740332324,   1.0388307963837071,   0.6074913152627611,    0.7222097410680607,   -0.8981205253633147,    0.6851064615963838,    1.0121962025025983, -8.859344717824383e-3,     0.7863533350477803,    1.0013386240023536,     2.962337853420358,    0.21423544760754282,    1.730923275886562,  -0.49540866901618735, -0.23079124094101858,   -0.9370367838432955,    0.4983941530582453,    -1.4456407264207471,   -0.5413193603777254,   -0.7994161175075781,     2.558972795622075,   -0.7407903684051601,   0.6693441200958596,   -1.389415307136142,  -1.4524609347900637,   -3.2618272548816534,   -1.3530203762353545,    -2.0689627300430224,   -1.1770902018354952,  -1.0364227001893664,    0.9578559420474628,    1.766873302067718,   -1.1988438671028159,      -0.78564502245563,   -1.0659513520318336,    0.3749550715430092,    0.19279981470740246,    -0.9519322832754383,  -0.7445785652093249,    1.0404192788299578,   0.29127106013141324,     -3.823020591363305,    1.2456644727059585,  -0.31815821440389774,    0.3939299753990739,   -0.41706672433009334,    0.2065872857155948,    0.6899161827903393,   -0.5372804050800265,    0.2037229439832499,    0.4164258698505286,  -1.1506605849352272,   -0.9738356463507293,  -0.16430632622699792,    -3.281490956507687,  -3.1126756803612667,  -1.8752754870716442,  -1.8634419606496953,   -0.4757583664172644,     1.540793371989381,   -0.7553998539139323,   -1.9136009565186853,    1.3224946568820892,   -1.3250000656035077,   0.49382804904974953,    0.35783962157047244,     0.4373558059266534,  0.36614031732110713,  -1.8504749907443117,    0.49673177676844205,    -1.361600492152899,     -1.075795416698674,    1.5544938754277176, -0.30968650424761446,   -0.907163840457704,   1.5507403204804833,   -1.7710592524293016,     0.9009239639579907,     1.020013491059091,    1.0366163726006077,   -0.8427812634153302,   -0.8955081887763487,   -1.0431799995120636,    -0.8394968312070359,      -2.05323020658845,   -0.9420373884728379,    1.1183318726860239,  0.20539770783399575, -0.5464077605997637,  -4.384759746870993e-2,   -1.6415183482885243,    -0.2754138619054511,   -0.37540317206148355,    -0.2880025332908846,     0.8739575459530866,    0.3147075398327831,  -0.3310321128466857,    -1.2171558071856197,   -0.1226305155919338,   -0.17124685208574328,   -0.3859513832167689,    0.7802684737318263,    0.7815136608142496,   -0.3136204834966153,    1.8780787865957271,    1.1523892558256819,    0.18373042638042866,  9.222494915244588e-2,   1.1290818964444451,     0.6113609708220126,   -0.7083829843282752, -0.32015268549303527,    -0.6738384544269045,  -1.8126911772319698,  -0.42798377651288655,   -0.8973744386059738,  -0.22317891795172978,   0.26922212502154264,    0.9689594987108766,     0.6644574690944237,   -0.9549992669126343,   0.30192107490227355,   -0.4303335289821298,   -0.3134016001261099, -5.514604699446504e-2,   -2.639879897145815,     0.2340002272851872,    0.7883731437939133,    -0.7762386796030089,    2.1427111351310004,   0.41052583099700696,   -0.3348374452570882,     0.718999768035523,     1.2574748270962308,    -1.6607055077813853,    -1.1165212417596164,    0.6539130464370541,     -1.005244415561303,   1.3310257326186048,     -1.291879280269676,    1.5928326377387516,  -1.3698829303644615,  0.16929292751913907,    1.5074227292267524,  -1.1621620961561432,     1.103311351430005,  -5.990602501851375e-2,  -1.4086091661782068,     0.1631965210945761,    0.595391941062356,   -0.6077730808745142,  -0.49104462007066246,  -1.3518675641871576, -2.9710042030366294e-3,  -1.1423148090818955,   -0.3630715048070422,   0.7839840644075776,   1.5949792540674326, 9.871469488586436e-2, -0.16134198907359543,  1.3930756003164225e-2,      2.04430907205412,   0.32363381468492214,   0.49636804550317765,   0.4701087402438267,  0.17080683766231372,    0.8466402871904357,    -0.7802503567390849,    0.6328107182710931, 1.0089896849067968e-2,   -0.9687993348452022,    0.3617680635296481, -0.48892282720735203,   0.5537172915737052, -3.436328980245171e-2,   -0.7584787503127349,   0.9274523302976082,  -0.5637374558190518,   -0.7106143489999867,     -2.091429672285863,   -0.8618373777334851,    0.9613023550610642,    0.1221186587510091,   0.19859699601759515,    0.4200332822808009,   -0.1902085117538388,  -0.2571858392523591,    -1.1659247062117553,   0.1838921857135415,    -1.6322352354337186,  6.549229322090162e-5,     1.152214012994685,     2.645996801072402,   -1.118539007930422,  -0.8084387567954323,  8.899095294030271e-2,   -1.3822209790882833, -0.49217751606379795,     -1.081442527129905,   -2.2128925238636614,    1.1880442087761798,  -0.23405074715226903,    0.17737984544265056, -6.41974548442408e-2, -0.38174396183226217,   -1.1133349232157521,  9.651052217921531e-2,    -1.7910299318161036,   0.23891688239977396,   0.5443444366553378, -0.17217842030066416,   0.18973497609727277,    0.5915514520731622, -7.021003435712068e-2,   0.36932282647274095,  -0.1419129584190221,     0.7017677206275995,  2.7229599493190313,    0.6656925377764895,    0.34246632883421657,   -0.16789905045806666,    0.5053767351527308,   0.7881435522625678,   0.12637232905881304, -9.072053895717941e-2,   -1.7070100815156437,  -8.17906960903819e-3,    0.499078461934873,  -1.0106509528209229,    0.3081290940864134,    -1.0290754410690397,    -0.1550623434414627,     0.2197188002482291,   -0.3218037210195746,    -1.0874572511380896, -0.19967279108365144,      0.610745545893191,   0.9365231401242519,    -0.7768364390204698,    0.5536412783980437,    -0.6542330339609336,   -0.4148068544798618,    -0.7098498507536768,     2.171695781152141,     1.6195187215275442,  -0.29733461098613834, -6.069512369427576e-2,    1.0932242518484052,    2.6624905092773767,    -0.2921274063630183,    1.7738443285296837,   -0.13396066335269682,    -0.6992008787796984,    -2.275192850438121,    -1.0537192224660683,    -0.7904841446874393,   -0.7490691427861804,  -0.35684855539388566,     0.9449965011625641,  -0.18521049567412326,   -1.6359166663292706,     1.039025493119273,     -0.898047909567596,   -2.4228256622491404,  -2.2062793570876202,     0.720312788378799,   1.2715889144641086,    0.5386108652865181,   1.3982462651420182,     0.5721734426604207,   -0.9687867906570411, -1.2318875137454057e-2, -2.4021636619936822e-3,   -0.2820883271353666,      2.354167640963134,    0.7343191875049866,   1.0331315546481323,     0.5631468353661258,   -0.12346093741336192,   1.0932413363712081, -0.30258968144550946,   -1.2079190255248564,  -0.8884664586714609,    0.6880883253515874, -0.19403324502647146,    0.5883129339342793,    1.5482120792492295, 1.4427243291379541e-3,     1.226923509431351,   -0.8191252025899488,   -0.5667270773233928,   -1.2347790594619859,    0.7885412523838993,   0.27631867263452786,    0.5031115316033032,   -0.9181429347985428,     -1.673123240526157,     0.2602134516056213,   -0.6292366233293399,   5.334397806475727e-3,     0.2637009530083969,   8.75010503047789e-2,   0.21384811243803956,   -0.7453155647635455,   0.6030320869218729,  -1.4729291497356383,    -1.9143451520580224,    2.1851807977301836,   0.5951855993052222,     1.9865828858201988,     1.5069224102184937,    0.2321423214783589,     1.7790706865795782,    0.8557170738564456,     0.7755479298545729,    -2.348206184233567,    0.6955620690163089,    0.6569185817539652,     1.058105218264946,    1.0099466941940636,  -0.4046352410620665,     0.8061504823236102,   -0.2890235946381968,     1.227752428140167, -0.10045378359126375,    0.26125480132028056,    1.2281158957473364,   0.6303096138244574,  -0.6656696953539174,   -0.6115107930117981,      1.265537634703432,  -1.9688263905080723,   -0.45421926788471534,  0.39320246578206197,   -0.7805958580707807,   -0.12355068815162563,  -0.23416264949515017,    0.2068071666519627,   0.6155833268287543,    1.0344853321231833,  3.961137160135208e-2,   -0.6967429124744176,   0.9300879401816879,    0.9714757809205107,    0.3428206326230973,    0.5670749806295705,    -0.5802282497684378,    0.6300415714416109,    1.2585401557310134,   -1.2183695858444692,   1.1127255428895904,   -1.1597340938968137, -1.2705433315423207e-2]
+    ,[     1.335394059666681,   -0.9869220625592414,    1.3993634915067872,    0.9868025648058137,   -0.9301133362034021,     -0.433966579222538,   -1.9162595132570674,   0.42037126790965584,     0.5643508790650824,   -0.8243705834109868,   -1.2678165410482347,  4.9650997111456395e-2,   -0.5113453910957454,    1.1951602202374862,   -1.1466136377358398,    0.9953736959238804,    -0.144783803129484,   -1.4802665350500939,    1.0981803046642757,  0.37274069684997596,     0.5596758238391456,    0.859078077255383,   0.9773693344919323,   -2.3806649480882482,    -0.6356251176115296,  -0.5197297912645167,  -0.6335544409500538,   -5.95351737005608e-2,   -0.44638411902518654,   -0.6398534548278961,    -1.4743030433271125,   -1.8877950388706481,      -2.0372118416463,    -2.8014345201980757,   -0.8205354855594176,    0.6539403911764142,  -2.5404771506899073,    0.8441235441638393, -0.48157027514312367,  -0.7950162676480836,    1.6579841036593996,  -0.4811434241363856,    0.20064850875494517,  -0.6329807812410752,    0.8495965714338969,   0.7517317708061299,   -1.1233548020206463,   0.3126189622469194,   -0.3822787461960279,    0.8709958095325726, -0.20661817563971957,    0.9935721634291416,    -1.5674061698276702,    0.6637803162834798,   -0.7330212228056824,  -0.32608019546379147,  -0.49589057289469807,  -0.14910067964565632,   -2.529642608748357,  -2.1186093497105984,    1.4760904054543642,   -0.8637400036119802, -4.551109915530366e-3,   0.10599541914682073,  1.710393200842752e-2,    -1.6928126084041732,   -0.4806181798176292,   -1.5240732785013613,   -1.4503285474653906,    0.4436709768062037,   -1.0373866972762937,   -2.009387681931653,  0.29012940795866304,   1.0150457267558428,    1.6367814951569206,    -1.0383324955872109,    0.7278207541005113,    1.1369516713576606,    0.9506905456196673,   0.8837106413151773,   -0.4098661777834632,  -0.31562848138390276,  -5.550921774332273e-2,     7.5022578503297e-2,   -0.3499429380710472,   -0.3635101572253255,     0.936348280927601,  -2.2841184973058883,    1.0512061048653227,  -1.5446024914354386,  -0.1855908263544379,  0.10273295789787967,   -0.45593557107251703,   -0.5096116503494404,  -6.166429083812656e-2,   -0.6862185062749557,    0.5970113399890135,     0.3797646312049944,    -1.7166644501403487, -1.261899665510018e-2,  -0.4559087231116921,    0.15681877016608625,    -1.2912614260475848,   -0.46923731564823656,   0.21108691693224133,   0.6958183267426239,    -0.2242518113369492,   0.11498882377394785,    -0.7480005228572973,  -0.37800999790000067,    1.0515389311762589,   -1.1306892193073066,    -1.1378908852445688,   2.4392519114123594,   -0.6911593273585278,     0.1456288819860403,   -0.8528943071014193,    -1.5603064315321398,  -6.201885157355715e-3,    -2.787282468759691,    2.0270321764367303,   -0.9450770652396774,   -0.21600750782014622,  -0.7532714929337467,   -1.309982373730537,   -0.2198149917910525,   -1.2433868358063997,  -1.2155159793054389,   -1.0376556195128068,  -2.2784183710452055,   -0.2568235130243668,   -1.1529744621568088,    0.1594699107199079,  -0.5545513501649157,      0.97522380761253,    1.0019989308212234, -0.25153316318396785,   0.10149170425131748,   0.2936178473828288,  -0.45054012901858365,  -0.48225947556292187,   -0.7699659578751915,     -0.354091655714217,     1.3907103859233028,    0.16482572397560435,    -0.8113437723467161,   -1.620810282601809,   -0.2348056596505448,    -1.4962651899754151,   -1.5517907078766726,     1.525606478981942,   -1.231886097670808,   -1.1009513821275647,    -0.7731684573809336,   0.22369792341728742,    -2.4994778759731826,   -2.51284569983237, -0.47544639011271533,    0.1357994001138224,    1.122534547284764,    0.7907019928680058,  2.0444965303952217e-2,    -0.9272049240128006,    1.3629390661216318,   -0.5458251817583724,   -0.4695937463982814, -7.713317454207898e-2,   0.15832038963598424,  -1.8141095654158568,    1.8966535455411202,    -1.1073346955421677,     1.353906081215068,     0.5734306432126861,  5.452047070093369e-2,    -0.6810747702715111,    -0.202241150385229,   0.36821344810991913, -0.42276426026446745,    0.10657356357949749, -0.14505852237959965, -0.31645852665983204,    1.0923036004137534,  -1.3898371782669563,    -1.4639968047813574,   -4.118279382141891,    -2.626972173950491,     -1.64831799676283,   0.9649489647588484,   0.38143187943615675,  0.10929999522589773,    0.8118931151797596,  -1.1086614062146254,     1.8742955563759394,    1.6908012678586903,  -0.46504468992990966,   -0.6534382116843016,   0.9703595113114339,     -2.142342479006619,    -2.471373322255787,    1.5011433250003103,     1.604446126340005,    -1.0222654681991177, -0.34928022966927175,     -1.007849469811283,   0.9048226436713092,    0.4712885410083274,  -0.18414059587894246,   -0.45133870278254457,   -1.4892718600294543,     0.4052696186103339,   -2.4207049814705095,  -1.5931177053919086,   -4.1718064930631815,   -1.4618340760383997,  -0.8057331337105008,    0.2956694620655886,    -2.152201878359954,   0.3614617287679969,  -0.40977272588277275,    1.3020877005556175,     2.245641611276978,    0.37606440707600974,    0.7660828907709243,   -0.6087809175759763,   0.3456431549309846,   -0.19308450936211724,     -1.651800361369565,   -1.1235153717612951, -0.21745930708654262,    1.3956308047454722,     0.9202431806946236,   -1.3549366035207517,     0.2665622490907432,  9.189568457322388e-2,      2.054649406446598,   -1.0876057357241435, -1.6819800737112006e-2,  0.48226546866409437,    -1.996060249548965,   -3.3183223175152246,    -4.221331094851337,   -0.14572923934333398,    1.041605587588746, -9.462881642923606e-3,     1.0789192668603367, 9.806474209454831e-2,   1.8796964613617295,     1.486124136276309,     1.769724633445179,     1.0946068939796985,    1.1729227605524015,    0.10409919613533444,   0.8830604209207928,   -1.2056828060686895,    -0.609823122131991,    0.3746643275449412,   -0.22608570834170444,    -0.8686399745403114,   -0.13008247098739978,   0.32205768897970144,     0.3019434231974334,   0.32119694342660954,    0.3267515469665806,    0.9637735015490356, 2.5967421670039258e-2,     0.6302223561293414,    -1.199780921274751,   -3.8465907789745555,   -0.8143090368955469,   0.2708069129052895,    0.5961161395631446,     0.2897878047218597,    0.8826986315126919,    0.7715164291880551,    0.6304524562346646,     1.224376162030268,     1.2407767344465237,    0.7869047318925414,   -0.890751805173922, -0.18178568605240913,   -0.2025658106496264,  -1.5756853155356476,    0.4170256192108453,    1.396384345933849,     0.576485852736178,    0.5464623331872339,   -0.16669929717728915,  -0.7859307892028604,     0.9242974110774791,    1.2340371724606964,    1.6589807912219374,    1.6651355086450323,    2.1249867503549504,   0.7137923712934964,  -1.816433062463694,   -2.642582734120157,   -0.6321683959747967,    1.9709569078590972,     2.0136700831118457,     2.029044838341958,     1.4107234957998698,    0.8193441981734867,     -1.147630997979728,     -0.994019478692495,     3.0299827811370488,    1.9356793357430049,     0.7791567483780067,    0.4837758475248518,    0.8327415103849751,   -1.5133308762605588,   -1.0151292007266757,   0.2441885404524809,   0.5711344970015625,   -0.6174529780681717,  0.18725150459768633,  0.23570212597186538,  -1.0910672423041343,     -0.87933924548265,      1.912504803710404,    1.3517972675139336,     2.294071078614417,     0.6408940492681465,   -3.7553141798256227,   -0.5025771881988742,      0.725737506071118,   0.6469170876465877,   0.2078933732467859,   -0.898059673690494, -0.37843008304746945, 4.7293296643490954e-2,    0.8295483618281165,   -1.1581268648892071,    -2.086863272670619,   0.7550541005326044,    -0.6104554574590126,   -1.6027939161068694,     -0.679600503662981,    1.314455195771549,   0.7513148781918544,    1.0547932615574223,     -1.491745545376151,    -0.3459684173335359,    -1.39039931360209,   -0.2719292926530053,     2.567351935460142,   -0.2046520508470867,    0.10290648810073674,     1.4647766218847202,     5.249561208214314,   0.7420702734206901,   -2.1683160672631088,     -2.473416907504488,   9.948726894204118e-2,  5.821190598117684e-2,   -0.5545038502024862,     0.8368999298824182,  -0.24005453244993358,    -0.7768937162776867,    0.2567750506007701,     1.03576377879825,   -2.322020582739284,   1.1447274254222042,    0.7669966054213838,    0.8419609083459408,  0.2665551098007508,   0.20794912512539646,     0.7489225392242271,   -0.5636989340244761,     1.0935853685402743,    1.9315640308824018,  -0.1123699859924582,    -0.1574320179952924,   -0.37881069770834874,   1.7689664363206212,      2.080307361880354,    2.7990624419123824,  4.4684128014067896e-2,     -2.113628914686846,  -2.7173233971566466,    -2.0453654154876015,  -0.10212866913116028,     1.2406006784866623,   0.4259487893964326,  -1.2839290065218563,   -0.9611727108297402,    0.5120483962022799,  -0.8602271371764474,  -0.34824146929386873,    -0.717074814138702,    -0.2609833964389267,    0.49444543170696126,   -0.7851820464296557,   -0.9464248602124887,   -0.7529252218639709,    1.1117233210916635,    -0.9589178762626165,   -2.0615359892544918,    -0.7336781635013188,  -0.26827293576377753,  0.42995150410742417,    -0.666313106876614,    1.311793417202103, 2.0837856717809935e-2,    0.4211863614375718,    -1.2962135555448793,  -1.5513338944018922,    0.4372851629191038,  -0.8416397103495684,   -0.3308922473598215,    -0.8869679512908335,   -0.5615638314215466,   -0.2888640730734073,   1.2864232126653805,  -0.36432365303800857,    1.0778206903501137,  -1.7710500850540802,    -1.7362386491958948,      1.431366505496128,    -0.4684293670380892,  0.43827606163488986,   -0.1256560912635207,   0.6780967455086442,    -1.0229274639681951,   9.298918182756905e-2,   -2.040609803067068,   0.44001840006080295,  -1.0956930693627944,    1.941297878086273,    1.0620053260563604,   0.6739110828791457,     0.8470102783468705,    1.6937871581335975,  -1.1700034489129862,  -1.2899700277358077,   -1.2289969237853493,    0.5993045663444175,  -0.24912397954969523,    0.5306062567955284, 5.9212017568170086e-2,    -0.2757532269859737,     -1.15885957698732,    0.6143294236606152,    -0.5212453969352965,   2.3331718886734203,    1.7648451726568841,   1.6677287963042648,   -0.7693560457512222, -7.200836377321157e-2,  1.2488680714022456e-3,    0.7439311339771344,   -1.2033544830231597,    0.1012608526729748,    2.1514096701613177,  -0.8138199004404533,   0.5888103504276269,  -0.8757530039003852, 1.4728046737414197e-2,   0.18471300796128318,      0.669563201177213,    -2.018874256053212,   0.2881170158285406,   -0.8881604581485194,  -0.9910584153221488,   -0.4003362503713659,      0.532717728394068,     1.573329758146511,     2.262043950995214,      1.496826520677078,    0.38375744379789656,  -0.4896902049954094,      1.63696750100514,   -0.7114830768867123,     1.6619285756316156,   0.14118064898133714,    0.3019550117244629,    0.6133915140787921,    -1.9458052498766545,    0.4786591707262776,  -0.12320347907905346,    2.8582588926679695,    0.1269309989907986,   0.16422474520243777,   0.7723053069795651,    0.6183942148582291,  -0.14946386090463012,   0.26972028441997886,  -1.4218988420590652,  -0.8071997946407361,  -0.5273843510547988,    0.8025256157525799,   0.10276546176385142,   -0.6136322893560416,    0.5840676180041772,   -0.8311716897175597,    1.7549212040904716,  -0.39094203989162585,    -1.3245395232059525,     0.2078782845507056,   0.2935696011982748,   -2.754952015308566,    -0.3189091667763333, 2.4255467117172302e-2,     1.6254718851725636,  -0.48208279918561375,  -0.6162870959636525,   -1.182552775131533, -0.15356377657699136,   -0.1633442696478457,    0.12536308288686007,   -0.1755634501470874,    0.3667370228357814,    0.2680555917558557,   -0.8577793653959188,    0.6352922880032346,    -0.5250742495924455,     -2.461038924336549,    1.5847898985380828,  -0.13925928445222843,   0.3748871178052277,    0.41744752997596,     1.2995627312261906,    0.8009276273142377,      1.709633604537154,    -0.8773997807439448,   -0.26336044035962153,     0.5183962389281035,   -1.1393530969866714,    1.176734865883301,     0.7266475786506918,    0.2800321660817263,     1.7052531196800702, 3.7055455978761476e-2,   0.13944115881228078,  -0.49318743974328666,    3.7970376939846626,   -0.1270507039711339, 4.9786400566753874e-2,     3.4035069497864607,    -1.796858957953136,  0.35840697014987827,     0.4699452916915726,   -1.3053914140081087,  -0.9742585832341697,    -1.1079207514772167,   0.8157048438343828,    1.0396796530625563,    0.4332759191481451,   -0.4700398113488505,    -1.351030818509503,   -1.7493040912428366,   -0.17581997612406197,   0.16040817932559398,   -1.7635983075842052,   -0.2264626864351075,   -0.6041287975453042,    1.1892996638639606,  -0.6686474409714234,    -1.2778838330743167,  7.136157936615369e-2,     1.6934427473592408,    0.5199190950391321,   -0.6855472513525279,   -0.3210915113789532,     1.033492799261969,   -0.44857669443205545,      1.352129373664744,     -0.521169614958288,  4.448894100865302e-2,     0.2037866148607879,  -0.7534746752419911,    -0.3334585239680183,    -1.293301400908902, 5.126527675914784e-2,  -0.7936695508838443,   -0.5061710092171374,  -1.3922116896373333,   -0.5281402859545427,    -0.5877635323144427,   0.7870927422575061,    -2.1672365616695135,  -1.5878048169980261,   -0.6319548761830475,   -0.5914785745956644, -0.24532378822068687,     1.2838014471746355,    0.942542429061779,    0.8580103987118233,  0.15422348922363693,   1.5048158120297719,  -0.7375029113707978, -0.11284758898850722,    -0.2744964959227512,   -0.5132394594063502,   -1.0232296101080534,    -3.111034009093097,   0.7934100792035749,  -0.5626430956153315,   -1.8323386720752302,    -0.2038295253582907,     1.141319108340934,   -1.0264255075777264,    0.2504499719610705,   -2.1859659529097524,  -1.8423842449682801, -0.28516291650611075,   -1.1909854645123155,   -1.1547437687771847,   0.2316760921506636, 3.985609477937939e-2,   0.13774893943115255,     0.2879467406572138, -2.292043850153821e-2,   -0.6054736528378153,   -0.2745510661570374,  9.444541523428733e-2, -8.305741996481905e-2,   -1.2412847147056645,   0.2518715306720817,    -0.6901211001337767,  -0.6070639248601081,     -1.322405036930746,    -1.824639045384052,  -0.12076192688858668,    0.7926960931018346, -0.11843947073298311,   -0.251260625506157,   -0.1015768612862386,  -0.23477636279906453,   0.2695859849106807,   6.967887261723735e-2,     1.234997931813482,    1.7730778199247057,   -0.8109592160086977,      0.717340624553768,   0.6540390615623631,   -1.161496806526392,    0.8558439046793328,   -0.3533570195818423,  -3.451412995021348e-2,  -0.24543486060556283,    1.403325298496128, 7.804310965153534e-2,    -0.852244473902395,  -0.20545449507710487,   -1.7340380898957646,  3.159034284888736e-2,   1.5329289726097397,    0.24147041160561836, -1.1978314758782347,   -1.2452382836814524,     0.9292689259737865,    -1.4087545845651828, 2.1745164016099945e-2,  -0.9862964600188031,  -0.13470937663758614,   -0.7578668003974092, 5.9722362328349106e-2,    1.0623669347634939,   0.9048261455796419,  0.33838858207008504,    0.5875263240376258,    -0.9149970411734843,     0.5406868933693751,   -0.12101049945244874,   -0.4915362487499811,     1.7035113100219377,  -0.2515689569670193,    -0.9157117204612577,   1.8637558897887168, -5.4889926120018896e-2,    0.1539036691625499,     0.5435047892963566,   0.15388168341372477,     1.7875106212906815,   -0.6259490855600208,      1.172715485114341,   -0.2772157767997813,  -0.32292197791336275,    -1.807084849834698,    0.7400850956461674,    -0.2308915789632541,    0.5911273470205441,   -0.24207540054920176,     0.7765814708582368,   -0.7778118593206038,     0.8438396291263535,   -0.21578486975894703,    -0.743523073470213,   -0.7708098859964784,     0.8837023100868635,   -1.0888515175486353,   -0.4354664573297342,    0.8455884609917619,   -3.59373800707428e-2,    1.0070695952092716,  3.65455221787756e-2,   -0.9811444605438062, -0.24570807900611497,   0.22941221583487867,    2.201666595417603,    -0.9522484222117839,   -1.9205426357288966,     0.6146057449007026,  -7.954035226672379e-2,   0.43151900957266137,      0.766593948014329,   -0.7799683466010715,  0.33581668957905386,    -1.8367620238637954,    -1.1228052622838953,   0.8316549490166184,  -0.8053701324219933,    1.6610319614325133,  -0.1110353767255985,  -0.14318141778565308,     0.61102149410639, 2.6046994650477016e-2,   -0.9803795351191581,   -1.1573499073443505,   -0.2547457213194843,    0.4224312852358654,   -1.9483763497380533,   -1.7029460198568354,   -1.6647640830661794,   -0.6902846749191814,    0.5125076408677873,   -0.8005132841964328,    -0.6802802424611336,    -0.6634145665172213,    1.3014308930894418,    0.10104119478249325,    -1.0144013057129388,    1.1462841102194647,    0.5826592471547405,    0.2675696053542564,  9.54714323629828e-2,   -0.322477794440825,    -1.2743988747425186,    -2.315267825843017,  -0.8842663559137874,    -1.2878548056368817,    -1.9163065460045041,   -0.7556579955126667,     1.0716714331401191,    -1.893290690435765,   -0.45346137520585367,   0.28156435220156295,  -0.18839649388919968,   -2.5302654195538388,   -1.5247292090769078,    0.2942315400875046, -0.46404368411695573,   8.319122305419065e-3,  -0.16788906649231047,  -0.22697083628774045,   0.8884159910394137,    -0.2658232212915136,  6.322593224822041e-3,  0.23662891150819151,   -1.062597003250434,   -0.8659991573602822,      -1.69853607761704,   0.9088369644330712,    -1.0034032694417565, 5.257312848926123e-3,   -0.5328340535706904,    0.11743337453201114,    -1.985387762388471,    0.6549839732686055,    0.652654107934639,   -0.4364836343254513,    -1.220201291032191,   -1.0887460449515785, -0.43691052794485175,    2.6990385748981485,   -0.9942961892553891,   -0.7197392264072761,      1.491193602446745,    0.9546596661362469,   -0.2666961570323633,   -1.5538628271296087, -0.24394158403515304,   0.46862102166770747,       2.17001998049295]
+    ,[    1.5279126946075001,  1.148379241626754e-2,    0.6508538158619945,   0.10195573329690787,    0.9515831709404544,     0.6411502777501402,    1.1580433656306828,    -1.126768516286269,    -0.2183389483266707,    0.1467762623162905,   -2.1442815715208194,   9.864166522876591e-2,    0.5652703365053604,   2.48186826298101e-3,   -1.7111360582737163,    -2.162711327576108,   -1.5879207589410747,    -1.785143529107543,   -0.4732016976026833,   1.2121135523607276,    -0.5984406012407907, -0.39358022682315796,  -1.1803978582209544,   -0.5233454311594299,     0.9312865831417164,   0.9869538927624117,  -0.2687055731512132, -2.4801077820945676e-3,     0.7570780027556688,    1.2428909415592504,    -1.3142519514746815,    1.2980322781077622,    -2.065180695588977,     -1.065219947085922,   -0.5348921032387705,     1.646378476470579,   0.5554587603441378,  -0.12877565778874453,   -0.402654128271336,   0.5711448769270226,   -1.1090160634046804,   1.1567377777907737,    -0.9131629410382709,   1.0056428111124431,    -0.646520370811419,   0.2723098536476268,   0.20991471245421123,   -1.512999264645819,   0.23876702573763933,    0.1347148026531731,   1.0889011903294374,    1.7517712995233545,    -0.7799410907745874,     2.370831873520443,   -0.7823951611209969,   0.43438890800470203,   0.25289853378822824,   -1.4184755316118607,   0.6640726731409624,  -0.8556833255250516,    0.9205347516942887,  -0.40455670151268125,   0.15388106172526744,   -1.7651975928406956,   -0.7370457802014149, -2.4242019562563524e-2,    1.0833041744668928,   -1.2004517476822343,     0.331671627118323,  4.428274974392139e-2,   0.14461001860655093,  -0.4687860742853649,   -0.869905438066441,  -0.9060270473454759,   -0.6089874548724233,    -0.9748307866227931,    1.0723910956769571,   -0.1251565962082552,  9.480893885856223e-2,  0.18595619072644368,  -0.20602537606853977,    0.2984319349968898,    -0.4930450314076758,    -0.6553557978074448,    0.8476928011420064,    -3.400102567054571,    -1.896572484053798,   1.2001093500043292,    0.5690940397665978, -0.48380705828759296,   0.6303004799529339,   0.5104067519827012,  4.7317839742811486e-2,   0.27235237186738276,   -0.11310439705127874, -7.355067270138099e-2,   -1.2767104999139198,      1.924120786252481,     -1.585638840860702, -3.735166693303089e-2,   1.3210408245445802,    -1.3398141968001613,     -0.270824600079105,     0.5716926383436234,    1.5382562790135628,   -1.649538437728527,     0.8714013420121506,   -0.1588658788709318,     0.4341250888044632,    1.0103123805947178,     -2.48741616361045,     0.645998095281525,    -0.9303610285743296, -0.15171707107653776, -9.050981088457877e-2,     0.3218588392953307,   -1.0062405321904422,    -0.8704422992145351,     1.3966812470890246,   -2.7509604713261373,   -1.3500089979452659, 3.5327561834079736e-2,      1.492176775686669,   0.2734249352802224,  -0.5927712272434295,   0.22461617235504594,    -2.040083432045675,  0.20529843529540542,  -0.22323202729216002, 9.579141511445566e-2,   -0.9243199380495984,   0.45905250672070363,    1.7176787670707332,   0.7186185763263641,    0.9684788347219118,    0.5964370855837038,  -0.6329656591324794,   -0.7682762148218943,     -1.6659669659719,   -1.7975105504555868,    0.5804455657239801,    0.7511836541388628,   7.350203015486893e-2,    0.48030236238879764,     0.9190696632827965,     0.5095896855981348,   2.1810385728070947,    1.2599194649180487,    -1.9201110090753744,   0.11995930690369218,    -0.901085754769337,  -1.2973786650053705,   -0.4390708835718784,     0.5140235569056499,   -1.7418725211068942,    0.24137003111888983,  -1.257603562718798,   0.2637698500793155,    0.7417326968066138,   1.0249107219215297,    0.2906453705509125,     0.9812733941182906,   9.604086612054122e-2, -7.066428418180981e-2,    1.9572836428889304,    0.9297047562923023,    0.6354596414016642, -4.317832263463919e-2,  -1.9048389488042303,   -0.3021703245568041,     0.5239960885091905,  1.549266224682112e-2,    -0.6455941769454289,    -0.516200581758031,    -0.4571006195126632,   -1.2061480453680298, -7.913558004144279e-2,  -1.1081657793536674,  1.0640398404066364e-2,   0.8316530048342103,  -0.3685802043691873,  -0.15359902607643808,  -0.9705068049769786,  -9.421078157856352e-2,  -0.8676646631510986,  -0.15337957162230023,   -0.2443700827193474,  -0.3151160484535105,    2.2564880946662664,   0.4253757253862406,    1.4114952953940467,   1.4647639681518978,     0.7534303950475882,   -1.0761602021178747,     1.880367302559603,   -0.5136201538380917,  -0.9174715433834707,  -4.307776851311092e-2,    -1.274283009794049,    1.6156220219941966,   -1.7744635807678901,    -1.2148573828136568,  -0.3928655196672488,     -0.591152182539469, -0.23888190166589893,    0.7688242330675542,  -7.21857546141704e-2,     0.6172489263025608,    0.6335826573276752,    -0.8109766515758846, -4.468054082065629e-2,   2.0794130961957182,    0.5970955414501653,       1.1092574050368,   2.9659908045401795,    0.8254825080713272,     1.833331373867776,   1.1165199073507712,    1.7787833694060236,    0.6107268275273252,    0.5112166434411564,    -1.3532010308617124,   0.32019051721509595,    0.9596250002989605,  -0.9788891916267127,     1.7596660179081307,    -0.4688343642626355,     1.083112753219444,   -1.405893167886841,    0.5901742541604119,    -1.2703518709594703,   -0.9328937474954729,    -0.6195522568617257,  -0.10990009226841092,     -1.772194006333601,    0.9665944339676356,    0.17305780555547481,  -0.7871821885657759,    0.8813956216663066,  9.702011930914711e-2,    1.7741048258791707,     1.5367595702858077,   1.9458802847178376,     2.515586210286997,     2.8564491052965257,   0.6824479939210687,   0.1199994564498544, -9.109260634659647e-2,    1.9183325015533947,   7.877198120803283e-2,   -1.0205413864542086,     1.0593727532497859,  -1.3924935350330665,  -0.33598191914465214,   -0.4615635331612013,    1.5363995834160353, -1.2846766094730011e-2,    -0.4259152516908649,     0.6720251948013025,    -1.154318366646074,     1.1221448645068588,  -0.32144402629594016,   -0.4769983675706229,   -0.5217745412950946,   0.39539789539307013,    -0.4611989376465322,   0.23572277522556018,   -0.9306272703868417,   -0.5492519494807554,  -1.5105074896064414,   -1.5525114524582606,   -0.40426020001528035,    -1.102731763802581,    -1.513378046941083,   -2.2483611421993333,   -2.0739479479392346,    -1.3219042604535516,    -2.289421638816528,   0.5310114786108299,  -1.4442486592491524,    1.7246923841755173, 7.278863303470418e-2,    -1.574333374223746,  -2.7480090049974977,    0.6096072154310814,    -0.655783893950901,    0.40355342493136914,  -1.0491075697510865,     0.3821005547280335,   -1.3295201735741229, -5.926113887846735e-2,    1.0306391692450696,    -1.478810745933581,  -0.7014632336084423, -1.0439490317654794,  -1.8884886736810838,   -3.1988148628256026,   -3.6134318828007648,     -3.010778602449081,    -3.183057792171757,     -5.757943790934961,   -3.3231118684343066,    -1.9173155309171745,     -2.791193871702832,     -2.506219067021204,   0.33846663853373676,    -0.3127253972941574,     1.524858356625046,   -1.4409036661601662,   -0.8073456406351573,   0.28730803150941947,  -0.7952587959433073,   1.1217848458635233,   -1.7331158974847043,  -0.7191866264342561,  -1.0238591512618234, -0.46314679514985413,    1.8192940762624554,     0.1307077950948583,   -1.5754986502101018,   0.15893199973809985,   -9.04262579292457e-2,   -0.9756617429363135, -7.854602185867228e-3,    -1.0055197074924387,   -2.293433742986948,  -1.7602707164320213,  -1.7212671049507107,   -1.788591255216318,  -0.40134399805878046,   -0.5463868297555584,   -2.9035589670577493,  -0.13124564458783589,  -0.6150141792377212,    -0.3502934064363375, -8.263830125099912e-2,     1.2329590564573043,  -0.7463845964866677,   0.2549243167416406,   -1.6413867455787743,      1.005458327513511,  -6.212994536675792e-2, -0.24676438273753548,   -0.6598173140109089,  -0.25909210058259663,   -1.4300307836179373,     0.3672532621923055,     0.2711029419204049,   0.14749928858448227,   1.0151407755450537, -5.214456156556249e-3,    0.42408746954152315,    0.26536433855953556,   0.22256064590979643,   -0.5986907423217106,  2.6462622918446806e-2,   -1.6424012291950805,    -2.5642615854673347,   -2.2702594163368865,  -3.0740524311842146,   -1.110216638783668,  -1.6827755008994902,   -1.0369385278149894,   -0.5967427207931334,  0.5165980858288561,   -1.2976155063242296,     1.3764549116921285,   -0.7510251439421947,     0.5682571135918825,    -1.748901380750966,   1.5245212014157703,    -0.8054920501275622,     0.6055665057780075,  0.19288516519773305,   2.579234277150549e-2,   -0.3728259001306544,     1.0789128117497457,    0.49200866300769736,  -1.1671702265368336,     -1.257144377900876,    0.6539607244593905,    -1.6349972116732014,  -0.6005932658376347, -0.24008086447767438,   -1.9593220153005648,    -0.945153479860103,   0.4537721711403048,   -0.5900774237993907,   -1.2235694276997515,   -0.42169472246733325,     1.1004128031038232,   -0.8299529373246423,    0.3752755914439058,   -2.2097658444105064,   0.16810798660126866,    -1.6131939179585952,   0.39105148407314033,    -0.6930616927998909,  -0.33519009371744946,  -2.3264457068931166, -8.909396324375371e-2,  -2.1150747583983227,    0.7661860376831593, -7.174839491432722e-2,     1.0715293424747196,  0.28735400362773816,   -0.2268463234818405, -0.47763644983508025,  -0.37465031648170494,    -1.2816898921004842,     1.149872581781861,  -0.19157498065523107,   1.4080610919246799,   -1.5624453700319052,  -0.29596530632980206, -0.10602873997219779,      1.771137464160956,    0.45181119292279653,     0.8212571443514735,  0.30614858717366167,   -1.4485140306175748,   1.5809843562175419,     0.2017368996528429,     0.4463845827924333,  -1.0225905349369742,   0.26193745893241155,  -0.2187719322176901,  0.15144662533690445,     1.554353616499107,  0.44118246107259296,    -0.5405431614224221,  -0.43343446366882526,  -1.0072325229886363, -0.11937326370233259,   -1.1436449294122581,    -2.087820539036617,    0.9925272051422283,    -0.572848768396338,   -0.5718362100181024,     0.4946733448889153,    1.2505412583462538,   -0.2286122390674996,    -1.8167443177131462, -0.16600516353593742,   -0.1840294373907177,  -0.7208264472654575,   0.29956605461823255,    1.5767868845681325,    -3.6133986189371807,    0.3200886026135684,    0.9505637424308326,    0.9495287649903059, -5.112713284484595e-3,  -1.0574640509045266,   0.8077711790292631,  0.12722850071991418,  5.355985355513866e-2, -6.643336933744595e-2, -1.2081471149999115e-2,    1.0402794041645325,  -1.1013410393819898,    -0.600953978171557,   1.1585268634378472,   -0.7383843949540246,     0.8140280066216894,    0.4712288367955138,   -0.5517111846261626,    -0.5386303074495826,    -0.1015992016824474,  0.30566255780206714,   -1.5579680941343064,    0.7357300988895371,  1.3588453016925937e-4,    1.3679655038134373,   -0.4633221102303272,   -0.4528678408313112,    0.24915562811299963,   -1.5446766046458626,   -1.6497650265214592,    1.7278762609640004,    0.3597711027971416,    0.6562287075165378,   0.8932223743742738,   -2.5334404320635295,   -0.2559965805288708,    0.2545617528390947, -0.11691183418661813,   0.4366475567823048,  -1.4355142586304865,   -0.9913384796808475,   -0.8289557418730386,    -0.284452512968591,      -1.7969361059889,    1.5679186047491223,    1.0119238371042336,    2.4136606697935483,   -0.12038000575892148,      1.068383037768231,  -0.5218212170875202,   0.7095253991875786,     1.8156854840956655,    -0.667886394530715,      1.802316811860446,   -1.3459799148102443,   1.0484768506989353,  0.37527671719101496,   -2.390366566614574,   0.11808036889528639,     0.2821797349539072,    0.8737595590450123,   -0.1220330276218882,  -0.17060944525255878,   -1.0921429431970153,   -0.3275048643443429,    -1.1557948501133977,    -1.1517573094391012,    0.9765186661911957, -6.283608147307855e-2,   0.7676201978258254, -0.5197425395292455,      1.066476212899766,   -1.0368997579612527, -4.1919056220059626e-2,    -0.5768607239527411,  1.7509850358660796e-2,     1.1646945965972584,     0.593749259557297,    1.657054569512207, -2.2538542933098173e-2,  -0.48163472484823827,     1.0769612081716107,   -0.9217015498902943,    -1.192517448917322,    1.2617823648845032,   -3.1481411314304553,   -1.2544058779725946,  4.453492555708604e-2,     0.5576995741387152,    0.7767836367561545,  0.34597909811678706,   -0.34351409785310133,    0.6523178959070546,   0.8515531918550907,     -1.910683092146616, -0.13042770976762308,  9.784185400282441e-2,   -1.2657934955841863,    0.4341424586672393,    2.3064687200606104,    0.1423241177625559,    0.47599173907059866,     0.605048000479502,   0.49698470584132476,   -1.7203042550785606,   0.12419708116248437,  -0.36431498226953246,   -0.891575848994902,   -0.46439290985317033,    0.5080812919873972,    -0.4332534211653747,    -0.502849001868599,    0.5181611838000387,    -2.184001350896003,   -1.7050706950108019,    0.39892720429350104, -1.2212524792255111e-2,     1.1178986589759499,   -0.6349274153112917,     0.4478386650344664, -0.25816117585547316,    -1.8373783210071892,    1.1818201388214389,  -0.6010404083706028,  -0.8022604154902984,  -0.10667726888197217, -0.46223642393365805,    -1.374406923501129,  -7.915716799423127e-2,   0.6187182152876511,    -0.6748725311454865,   0.6333275677767755,    1.4868506978074576,    1.1617534122645141,    1.680936899885834,     0.3062296204952767,   1.2821355304513657,  9.367459820885111e-3,  0.19683030654194242,  -0.7186233930141182,  -0.9521559138890098, 8.245950823208928e-2,    -0.6909974818672382,   -1.0213022841985968,  4.275111884487838e-2,    -1.057653846144718,  -0.4399949811436684,   0.7686519828713912,    0.9013510134226366,     0.8920872552785708,   -1.5288551625049454,   -0.5043238570347351,    0.4280092738195409,   -1.1120768629584168,  -0.3658802244653232,   0.4144593447823874,   -0.6865179744289145,    0.2128370842675415, -0.12818793268927614,   0.2413749916868692,    0.4797616370417791,    -1.2597069281657747,      0.49209726162755,   -0.8621000975779276,     1.198677255492943,    1.0934697978911487,     2.031468823158075,   0.49769576994768056,  0.13455145959897244,      2.011578619184235,  0.31279855156639236,       0.47008218524277,    0.1993827341942159,   -0.8548757849645449, -7.537048063669194e-2,  0.36162081183711264, -0.18202076815229642,   -0.7780679080275215, -3.671975440311398e-2,   0.8820087618241532,   8.112093198519132e-2,  -0.19039622796886965, -5.296689238751916e-2,  -0.10392690989266526,  -6.508421980680996e-2,  -1.4699821075841333,  -1.3391998676690375,  3.994292312349366e-2,   -2.1287795588353853,     0.9801798145029296,    0.6652473925830735,  -2.2433410359736956,   1.2069573901197763,    1.3470474050891184,   -0.7456159039030689,   -1.1744025046209243,  -0.32923465734532675,  0.23263874626247685,    -0.8212467405717638, -0.6714799245501566,    0.7108557649874059,    0.18840933450596073,     -1.357227780648549,    0.5073959242078998,  -1.6276694066002506,  -0.25137268915854744,  9.548464149657611e-2,   -0.3084581162903988,    0.5448530611857997,  -0.1309648867499806,   0.9363230405882516,   -0.5484099045351506,     0.6566822987191389,     0.9711213706500438, -3.8209151159028586e-2,    0.9901951853612379,    -0.1695095308899576,   0.7969546050295583,    0.22483281357246915,  0.10086694351265918,    -0.6982504682868903,  -0.32783910147382733, -2.4732177755926975e-2,   -0.7476667649359061,      2.939698591551162,   -0.6299996420782492,     1.0882337806412765,  -0.40844232010857057,    0.7919259573226833,  -0.46765903223834165,   -0.7136573869563946,   -0.20671469588666674,    0.7264549111853422,     0.5514328479899285,    -0.6996234469330525,   0.10750664813685577,  1.0138711361194002e-3,   7.012282228276197e-2,   -0.1589978007446041,  -0.19987770016354098,    -0.7857941000705458,    0.4891453905541471,   -1.4635500440315192,    -1.244609392100643,    -0.8824319440312657,  -0.10696215241631336,   0.6371681408217091,   -1.5699706665315507,  -1.0992173335747861,   -0.4483147361302591,  0.46046896252755914,     0.7558662282976483, 4.0902367854531205e-2,     0.8640209546529182,    -1.5332085329639373,    -2.089147338866422,     1.0987272624716196,   -1.2590540764187292,  0.25499195102605043,    0.36511341117461854,     0.9948752196223963,   -2.015494887396429,  -1.9315081010479496,   -0.2532140644328372,  -0.4202378488166691,    -1.170948174627914,   1.1990099668577825,   -0.7418033564578218,    0.8765602836172538, -7.025703560374749e-2,   0.42453260514137564,    0.6018177633973263,    1.7888803570746372,    0.5577916437790279,   -1.9705674317097617,  -0.14662017513920245,    0.3270189283552021,    0.9592639198441594, -1.6168763474239293e-2,     1.6566963845799152,     1.561222921200118,   -0.13937608378267044,   -0.24668836320947063,   -0.8252782553310734,    -1.111733407403231,    0.1928835293957667,   1.9503560570204554,  0.15521283769247532,     1.1782698143543924,   0.47779751778105567,   1.2516243597885037,    0.41438002808798985,    -0.7937342897468345,   -0.9076469945059026,     2.4743458020602196,   -0.5915417590057223,     0.1319639772361232,    0.4386368274169154,     1.155381222330519,   5.96786611957777e-2,   -1.2096167197515046,   -1.0062403198523673,    1.285242766720572,      1.651396383479572,    1.4094120796437133,    1.0812648367640123,   0.7144696758400567,     0.5765218865959804,  -0.19727207925447363,   0.5197183117756718,   0.6026371763753218,   -1.1832098196099456,    -0.8517358824545792,   0.4068767571078591,     0.8238447084014671,   -0.988746403495277,   -0.1829014864205879,   -0.39615419211859654,  7.948592375535644e-2,   -0.9667667171744678,  0.34706792803852643,    0.7166613477544963,     0.344801689638444,  8.563235962747946e-2,   0.9847318385252025,    1.0478176673033228,    1.7476551619777219,  -0.42047859012174715,    -2.2339533688545163,    -1.073771058303451,   -1.2379746255828583,   -0.3281243624948121,  -1.6780181077231806,    0.7047859401431219,    -1.1820919852311986]
+    ,[     0.346312659121686,    1.5161282418461794,     1.067916873851678,    0.6731855944238305,   -0.5125617880292532,     0.5275370040937151,   -0.6948473255714431,   -0.8752903783673885,     0.8243017427927423,   -0.1799681448921794,    0.4820871457292428,    0.41286036994266184,   -0.7608908404564001,   0.25689694226252974,    1.1811460222945782,    0.4992966239060398,  8.399698590281454e-2,    1.2368511753818292,  9.892218531790965e-3,  -1.0169671695358975,  -7.750704941647371e-3,   0.4198829976139148, -8.53861290736886e-2,    1.3125123508592456,   -0.16505553896177994,   0.3327510637992997, -0.37482425771357986,   -0.36458175084223776,     0.6607006155013038,    0.4083930902658416,     0.5068457953475941,   0.17222506031421564,   -0.2698069356429812,    -1.0339146932506276,  -0.42420802351130227,     1.951400159047415,  -1.4893073259006737,   -1.2710156606984737, -0.46724102955693536,  -0.5018517512210062,    0.9993701854226803,  -0.5417104425776252,     1.0063418410240261,  -0.5537855334758647,  -0.35087885642242445,  -1.8821452372113516,  -0.14822417856006714,  0.29334670245372574,    -1.016425419749066,   0.20211864035097918,  0.37551696646025057,   -0.2939335942022366,  3.1581932194603896e-2,   -0.5701426011316346,   -1.5490352064263255,   -1.5007198905512136,    1.1365998272509321,   -0.7332540201037667,   -3.233049106959254,   0.3651589612742046,   0.37126357562567514,   0.33583757304833245,   -0.4431659214229703,      0.37247907009653,   -1.4172076628325871,     0.5695812705579821,   -1.4109285281720283,     -0.30951375566676,    0.2562571056196557,   -1.6566330256514523,   -1.1644750670077133, -0.19101789101903494,  -0.7249795854555298,    1.916536520179276, -4.625481054184533e-2,     1.1171003787616571,   -0.8603276370449174,    1.9355741409759377,    0.6676266948981593,  -1.6317265097727156,    -2.236016475321012,   -1.9992693393650076,    -1.5244604672380175,   -0.17500530902350334,  9.195029495378955e-2,   -2.1639761674490763,   -1.9085635153781768,   0.1794275797620766,   -1.8164008762922323, -0.12745858275593788,  -2.1184746337522333,  0.15768439826616218,    -1.5653066539869405,   -0.6985459784629156,    -1.4761708057665337,    -1.165501965282301,  -0.32732092486287884,    -1.8348405677901216,    -1.1642530008746617,   -0.6310432538563169,  0.31520765567957926,   -0.15478382298804133,  3.3439561715034954e-2,     0.3729701655211826,    1.2954730277203867,  0.45644495973919547,     1.2802897651910021,   -1.1499667356309582,     1.4047546491704392,   0.21418769309249028,   -0.2537911913274227,   -0.3678681482688661,    -0.7516540749296808,  4.12486670012067e-2,    1.6091501451178598,       -1.7535971468695,   -0.1720587125429033, -3.1310441272574735e-2,    -1.7504522722582356,    1.3000859388706043,    -2.345999056116083,   0.17235536179973499,   4.420328625244236e-2,  -0.9792717068018547,  -0.8897892604769844,   0.21555652084801608,   -0.6928784290552251,  0.25672194374616275,    0.6007820774263373,  0.23459203318061378,    0.8686232233852063,  -0.23303293655922847,   -0.7332402408104899,   0.8000958091435901,   -1.6388998998037052,   -0.2235701999696611,   -0.625461511600197,   -0.3431105928395437,   -1.320197377833697,    1.9354321751397952, -5.999916314289508e-2, 6.1874766781822306e-2,    -1.4459734153625776, -3.3836103707929055e-2,   4.201324519185444e-2,   2.920426352043455e-2,   0.4826971960129785,    0.4867592538093764,    -0.5871064913541092, 1.3489150916038847e-2,    0.9400153685135795,   0.5119243159692828,    1.5132800798985864,  -5.302835923914589e-2,   -1.0937101754766931,    -0.6072185544110582, 0.13362393965601965, -0.19284270804829212, 1.7630929205341213e-2,  -1.1084333761370322,    1.4042561191414848,     0.5171486894725449,     1.2205170938111372,    0.5419557559892301,    0.8640634930240434,   -1.8310832686811935,   -0.6772224608654521,    0.3409289188003375,  -1.0027475871218705,   -0.6032224141285261,    -1.0391728316430633,    0.5804966404119952,    -0.2620911095018667,    0.5338075352492837,     -0.580091148927819,   -1.6972122150799165,    1.4085226162606528,  -0.7877008091759417,      0.955343780375851,  0.39649214138421496,   0.8589900118613205,  7.465898445039812e-2,   1.5988954092362628,  1.8143403388453643e-2,  0.30537277565304216,    0.7904038170967711,    0.5873703439258151,   0.8836680339508208,  -0.20101790171247785, 9.373162399692754e-2,   -1.7350344641534907,   0.4598585717040263,    -1.4012208030200664,    2.3946269953796215,   -0.5998037555306845,    0.3471321966316954,  -2.0647524733742895,     1.4990096833817539,     1.468226212559591,    1.2644765014048978,    0.7153593110941014,    -0.6069178578016479,  -1.8796711443779552,     1.1686052764883286,    1.341169126004872,   -0.4476261845578272,   0.40456012560745347,       0.44270297160746, -5.020117310589077e-2,     0.4952202561420363,   -1.7844303398939299,   1.2693985303266828,   0.17522284117954023,    1.6591350599646768,   0.2746512545098269,   0.10073317538981175,    1.2299814593485279,   2.0346213427084354,    2.3067763741897496,    0.3018977729420452,    0.8908789909643081,    0.32996193711180866,    -2.000607933492052,   -0.8938082715186344,  -0.5279273302815054,    0.13568531114106258,  -9.840337464427634e-2,    0.6224838157251977,   0.7405679220438016,    0.9663318103185737,      0.375876982528394,   -0.8511459541222676,     1.3009209822159786,    0.6531393311025881,     0.8273973152216049,  7.583219510899954e-2,     0.5175881147117278,   0.9484699568571717,   -1.3390726981266015,   0.11998213205399201,   0.16106369964270148,   -0.26249371020496653,  0.30641303344904364,    2.5946131176975453,     0.4217911498045314,  -1.3003602124509703,   0.7423243377916109,   -0.7981151655620533,   -1.1377283331667938,       1.10582581799548,     0.487796086586408,       0.67135901161146,   1.5057623708263048,   -1.7577614448926304,   0.14417154479885227,    -1.231577559850955,     1.9704587268127862,      1.041125481465146,     0.9167954109908623,    0.6420710601108973,     0.5257122151918986,   0.13909260274260885,    0.5527952923390921,  -0.28059871103514705,      1.04124672254552,   -0.11760052983809555,  -0.49015112937355787,    -0.557152217078685,  7.485520530640064e-2,   1.7735710373137954,  -8.16563223358009e-2,      1.031089810268185,    0.1724469521250081,   0.18930101213148545,     0.347684331525645,    1.5707240758080872,    -0.5786157623528421,   -0.9607726392751488,  -0.5505871165148309,   0.5936116439574606,   -0.4620086770037951,   0.6994635764285769,  -0.30242920058394523,  -1.0032940656528049,   0.15929141496255353,   -1.6840444054593953,    0.45841361109844714,  0.19222618159766158,     1.2947144950196356,    0.7293920517689866,  4.751105649084347e-2,    0.2298742744432959,   -0.3974144794059082,   1.5644229691291678,  1.0558819584351673,    0.992513010131168,   0.15060186738385525, -9.394329783508827e-2,      1.693508365425441,   -1.1460194759958133,     0.2569129197716552, -1.690399912237073e-2,     0.9725372934135871,    0.10055940325802418,  -1.891097910751618e-2,   -1.5368352950490813,     0.5667677613700965,    1.9342394475010203,   0.40099949689963255,    -2.205900194515798,    0.2549398975291365,    0.648333834641981,    0.827792642265701,    2.3273733417903077,   0.9489599136799646,   0.2919092982714348,    1.090485387388086,    0.3154761515536262,     1.4859167780471432,     1.433977816903801,    1.1205703140472327,     1.7376417992509705,    0.8893701008099048,    3.0652896675562182,     1.6350823139714648,  -0.6909322980639001,   0.5655870366696242,   0.7136765306906665,   1.5207519337392457,     0.320285423893724,   0.23299055266243632,   -0.8244316187528252,     1.615073634677008,  0.10027000346300052,     -1.679472259167736,   0.25407112452404285,   -0.47312501823773295,    1.121661455176521,  -0.7046759992425832,  -0.44316481506293287,     -0.881190823215791,     0.2602010279616249,   0.9971144258721059,    1.5767095503721735,    1.8935800993744774,   -0.1419620110880026,     1.2306859893492348,   -0.22375361081006293,    0.2093714130173599,   0.6270736690990111,     2.106134538194153,    0.21625516586403234,     1.0131619046464528,    0.5531497757197904,    0.7920673056007395,     0.9684098765978773,     1.414292500586405,    0.15625011172963543,    1.3867090136265243, -0.29573766618363095,  -6.5550576728617e-2,  -0.2268982425436779,  -0.41181929544168816, -6.595258421021982e-2,  -0.558237255085453,   -1.1438627175622966,      0.960594056601377,    0.3334744656175887,    0.23826881976954278,    0.9134296998331003,   0.9322031528847219,     0.9467404460298531,    0.40417617764472596,  -0.2346302237221078,     1.5691368642890882,  -0.19603252297057377,      1.314663184421178,     1.5150718163660175, -0.15713894284586993,      0.583345416956124,    1.6304958831715841,     0.3832274956404929,   1.8458697031114693,   1.7690995159262335,  4.648213112643941e-2,    1.6429809522589618,  -1.0763322482563318, -7.729036983345201e-2,  6.867189449119125e-2,    -0.7401261241145236, -2.4789253751477502e-2,    0.4562172822759774,    0.8808678850030728,    0.8518336890678779,   0.30643711605529256,  -7.205784040433204e-2,    0.7716992453560315,    0.28490175251733263,    1.0233858399990168,  -1.2072329771452155,    0.9846947361348996,  -1.6648295990286641,   -1.2494534145464093,  -0.39975481981081523,    -1.5797679129937894,  -0.7458517956102692,     2.016068068278291,  0.38861556697849814,   -0.7694000886503131,    -0.4408906796928555,    -1.353861380792412,    0.9748513002380321,   0.4162358743985737,   0.15749785655766305,  -0.33271313903243954,  -1.2074812207431902,    -1.6588903685672416,    0.14928918952835557,    -0.4971678739864598,   0.1166667154588802,    1.6175683279631572,    1.087387810735188,   -0.24164973471042298,   7.425649229535278e-2,  -0.5336114938896179,     0.657123629512719,   -1.270139383866777,  -0.9174536282099235, -9.352234380576085e-2,   0.1371621536546489,    -1.4474266068472879,    0.5977109406494654,  -0.8109998960338488,   1.0477065592183614,    0.8593003417757147,    0.7672432275708834,   0.37262868402907073,    0.5948283632045664,     0.260155172922445,    -1.1622373847472611,    1.6702131230024788,    0.6934965164400547,    0.20890637667476084,  -0.3997320573444902,    0.6975859860106756,   0.5441935005558911,    -1.811605662808928,    0.3794501270965605,     0.6577949038997474,   -1.4792514539173425,   -0.5137341068616028,   -0.9533055572125011,   0.39249093998846246,   2.1530287297535757, -0.20497536017248658,   2.0270714244365475,  5.684441571586413e-2,   -0.9860560537758517,    0.16096010936805574,    -2.067260176680668,   1.5461845305811228,   -1.1261469455909128,  -1.1875937023758092,    1.2833196914342797,  -7.226366370208213e-2,  -0.40946460064720847,   -1.0328740286906397,    -1.1568219028462754,      0.655630487836002,  -2.4038645240403067,   -1.6434101771306522, -8.772692137090364e-2,    -3.2007183899654197, -7.669748474440695e-2,   -1.1099099930330436,   -0.4825101280614439,       0.16728536134691,   -0.8821338653122738,   -0.1256764551352968,  8.761982127777529e-2,    -0.918669979347346,    -1.637607385956183,   -2.030724157646632,     1.293992172680098,   -1.3283385489367343,   -0.6452369257128482,  -0.5009583337383484, -0.45689870010071815,   1.3003973240498694,    1.0201991382226203,    0.8690976695832766,   -0.7719954012339562,    0.5357994566470432,   -0.7575218432435723,     0.438209744343915,    -1.127361731093956,  -7.711540132836016e-2,    -2.4439983175184254,   -1.299810022129614,   0.4254761368060994,    -0.7492814044364046,  -0.19722516100769732, -5.1037227500460004e-2,  -0.10415432227317006,  -1.4321695686114073,  -0.8701912915450767,    0.892231815478318,   -0.5163295663484363,    -1.7352485516229574,    -1.526724781502934,   -0.6775627352174344,   -1.3309621004825891,    0.5726404554807057,  -0.12827131817900056,     0.1489241318830515,    -0.7378453744044599,     0.575067677798596,  -0.31620601054746444,  -1.1073973791203116,  -0.925607205635313,    -1.3533735736841985,    -2.623500022291137,    -0.7186315039887243,    -1.0783376553593422,     0.9424704794582395,   -0.36921068369508686,  -0.14516452119981024,  -3.7040214571393193,    -1.1436818692428599,   -3.1212981887825166,      2.104997407967094,   -1.0884880468933615,   0.32520361044728324,    0.6612226405916345,    1.2451509638869303, -7.375710157956925e-2,   -1.8292441327607198,    -0.4984258484308414,    -0.929445057162002,  -1.3196200285779665,    -3.0310595833665186,    -1.451726480054933,  -1.5140191281853534,    -1.7180731459337932,  -1.6626792846556564,   -1.9098687123728832,   -2.2129522493871403,   -1.0253914397202557,    -1.659632866642718,    0.5106267335242601,    -1.7959316926564701,   -0.7197294021802045,     -1.37843319902262,   -1.3367994073499654,   -1.4318685073244741,  -0.18234726687476263,  -0.8881532787095522,   7.269987981410829e-2,    1.3785829509863365,    -0.8047641355692084, 1.5037906057051999e-2,  -0.10289930474696202,   -1.3887866760690675,   -2.1340766426626367,    -1.9764053599229294,    -0.9035297859917752,    -1.4599533806928013,   -0.6360835556645321,     -0.484340761159758,  -2.8581645439266863,    -1.0623211985782022,   -1.9674804785427253,  -2.6780441125310763,  -0.6927041129374912,    -3.220983214926377,  -0.7302054520271221,    -2.695402587482018,    -1.7385932251349052,  -0.9405170158731472,   7.116102748206633e-2,   -1.624264145958793,    -1.306222386746914,    0.7334089455618218,   -3.269346665620417,    -1.4477774282621985,   0.6441935781910345,   -0.2971596507935881,   0.3883241064773457,  -1.5373613406921227,  -0.7748896976555313,  -0.4151486266125561,    0.26314665570969387,   -0.6526128258870165, -9.917952746767367e-2, -4.408076063165988e-2,   0.3100969328305437,  -1.6692809431270021,   -0.8194402515983625,    -0.8721145568593225,   -1.1329941050747088,   -0.6693333480183031,   -0.7399311184945887,    0.4377333060403983,   0.5695218918196228,  -0.7308811068153058,   -1.4455596008312717,    -1.475254837674126,  -2.5348867975254104,   0.3110448083792192, -8.761151632526022e-2,    -1.7782317442553113,   -0.5710524713441384,     1.027988590054302,   -0.5251088229814529,  -0.47236203499746554,   0.38484298513533555,    1.5411813512862094, -0.29917949650822945,     1.8808619089228675,  -0.5130911830072097,    -0.7775588649348725,    0.4640214834778462,   -0.7895214049553215,   0.42410761472898256,  -0.2748671800706044,   1.2225089273355132,    0.6202506153484502,     0.527781160793289,   -0.768286792798507,     0.8900929321755865,   0.27261383207388096,    1.5279927352159377,   0.40337049755266424,    0.28922175846013337,    1.749224099471565, -8.46810341319808e-2,   -0.8416822585071115,    1.5267002945422856,    -1.4564615740501696,   -0.6189047029812081,  -1.0511096191244613,   0.6382849188348044, 4.1078305372757404e-2,   -1.4396176245027488,    -0.358164645943299,   -0.1913640979070309,   0.6706521812625525,     1.1545987643248963, -0.2156244635680514,   -0.4557786701843924,     0.9742940024285923,    -0.7543131031865001,    1.5915917438764333,  -0.1792398675969529,    0.8753409560946589,      0.81634443886513,    1.2490438351797672,    3.2924327044269877,   0.3579154294618215,   3.4345315507130545,    0.8416184172040319,      2.240741512397995,     1.1283691084127978,    0.11097567399250301,    0.9070000580378843,    -0.3560912910130466,   -1.010255413645166,   -0.18207054681018287, -0.22010288535842415,  -9.105472116038776e-2,     0.718485396262948,      0.649018998910717,   -0.8082435354429155,   8.107585853246645e-2,  9.514119844502245e-2,    -0.7330303793925304,  -0.12588942465101058,     2.232629892562018,   -1.1070226098629263,   0.31034228708086936,     1.2966594334918546,    -1.696091969724517,      1.719022461956262,  -2.832867486408475e-2,    1.0858428451981164,     0.5911038941991567,    0.18898397472638273,    0.5960007192842587,    1.8957730121457428,     1.0573791918354796,      1.14207493458186,     2.020047627918194,  -0.11256964158824277,     0.9435961179243939,   -0.7162947344074928,   0.7700294650944515,    0.8803626988742289,   0.5846628633551505,     -0.78035198682837,   1.4352245138988777,      1.429832877904023,    1.3941165967753562,    -0.4765544631569209,    -0.5183272430692272,   -0.4180823806593064,     0.1897673730643019,   -0.4697645306903526,    0.680895257314746,     0.7935714385623838,      1.108948662311517,   0.9020379565776777,  0.24133680258504783,   0.28472487928162793,   0.9656771369204307,    0.9507626689670232,    0.835177551511224,    1.8114924109888957,   0.44258422668496383,    0.5054891838376343,    0.9671947790484792,   -0.5465148061977398,    0.7966560890827862,   -7.2965359609651e-2,   -0.5687972834881382,   0.18394090228420845,   -0.4103324435977446,   0.13489894360349447,     0.4874741564344952,    -0.9797872543123212,    0.8098737818759884,    -1.2208349067483228,     -1.488249270677267,  -0.21768570252075448,   -0.6186234056884531,   -0.6141240940199749, -0.39778090312358283,   1.4969242232060354,   -0.10989562899610754,   -0.7531703611218153,   0.6618721667527436,    -1.3475905895570945,     -1.820640242454201, 3.6768534761172596e-2,     0.2984611430414074,   -0.6153907005009758,     1.3970761875489275,    0.7141634110815981,   -0.7149489052828841,   -0.7810406706673476, -6.475439981656687e-2,    -0.789104944735856,   0.9030040409574839,     -2.441952977555584,    0.3001369024318781,   -0.1393515302338566,   1.5818695435678092,    0.15398155364268795,     0.144678595274945,   0.2036551967552413,  -0.2060121731180296,    -0.939601777278441,      1.716155078880044,   -1.183833747688372,     2.4178136225037017, -0.20332207719070539,   -0.7655371015348226,     0.3354347683100578,    1.2695479098601326, -6.971556319110174e-3,    -1.00154564266834,   0.24415042519436714,    0.2895388589973295,    1.0735799950409064,   0.1999735822345888,    0.8120292147643995,   0.20796104961826994,    1.5882574728013101,    -0.2836565050419084,   0.28747707852060195,   -1.5373700693497998,   -1.3851325625703854,  -0.4431503427617988,  8.916847691110143e-2,     0.6412950200497669]
+    ,[    2.3621834762740628,    0.4867616028003279, 1.3881373240571197e-2,  -0.15922241464506467,   0.27012709272411883,    -0.9273375087430926,   -1.2709076089855789,    0.6396020253001412,   -0.21817472855822667,    0.2817795049263919,   0.48101478797381797,     0.3367849987710231,   -1.4571902318289265,    0.2857856260484376,    1.0750622711120132,  -0.18625166706145477, 2.1594343618321406e-2,    3.4025478827315903,     0.993426327737764,   0.1544578771928649,    -3.6284423778917043,  -2.6641759060303616, 3.203186690384372e-2,    1.9457191024263414,    -0.9304320951123123,  -0.4724264298035342,    1.252621085134202,    -0.4514429271783963,  -5.052468754763448e-2,   -1.2707058056992124,     0.5409476763190207,   -1.0497765355285866,   -1.1102240060142803,    0.11388364539153721,  -0.35547659922336317,  -0.35882368445887014,   1.0492309987748485,    1.6484353304230885, -0.30914846604294416,   0.3563009069019856,    1.0976477778262892,   1.2611474323804122,    -0.7572237926254696,   1.2901893806277083,    0.4328795297554258,   0.6804154791100296,    -0.148696080124016,    0.969665009182417,   -0.7052823914774715,    -0.578864996559315, -0.46144406099397167,    -0.734790994237802,    -1.1506499433961819,    1.1405257908772395,    0.6077060003269444, -6.514363936120023e-2,  -0.16118481153412967,   0.23157193973852397,    1.437076956298974,    -1.70701335706329,  -0.36640069933183034,  -0.17898526388749086,   -0.7843498578852801,    1.8170585194920565,    0.5410796250734885,   -0.12100569325966624,    0.3874262717988873,   -0.5031806984326007,   -1.6097714000869192,   -0.4007690342278377,    1.1531282122213413,   0.4128671736150393,   -1.308567762819175,  0.24149547594794488,   -0.5343864471620614,      2.262521904260848,   -0.6863293995211162,    1.9889930614685127,    0.6516511833743884,   0.3994214866529843,   0.12490173636499766,   0.15920253912381885, -2.1587800831298562e-2,    -1.0533563794290035,    2.0783021386381404,   -1.5858839028544676,    0.3443729052461999,   1.3830293645665745,  -0.46018566179040293,   -1.008629933107185,  -1.2514847483492808,  -0.3217201122332991,    -0.9424107174459077,    2.2095910921556285,    -0.8385069000282906,  -0.22642242404618762,   0.30051724212816067,    -1.6761819389454777,    -1.4355033243551598,   -0.8652803169366505,   1.1068244893659243, -1.8561692145405415e-2,     0.5307935614379958,   -0.18714928640020626,   -0.8888025778714217,  -0.2727017962976528,   -0.10566040071417845,  8.318583853476368e-2,     0.9817852591381631,    0.2624805146487177,    0.7654560098066323, -9.832379870940289e-2,     -0.612883917926495,  2.80845072984989e-5,    -1.390967450662928,    -0.5708950550961919,     1.792457856416758,    -0.8759811094068173,    0.19384531299014485,  -0.21506841730970253,  -9.57814810016309e-3,   -0.5684919844710995,  1.0642308103649701e-2, -0.10328882707117525,  -0.1120129964791968,  -0.13999669928171704,  6.294006996447453e-2,  -1.1376316831018065,    1.1337012407799503,   -2.068932080875478,   0.21296873010599476,     2.069234784930587,     1.561226846378232, 8.243973924039338e-2,   0.33801660244391785,    0.8296476988128351,   -1.988619012769152,    0.3046787833253063, -0.13932003337079554,   -1.6438663574823107,   0.46903041820273667, 2.3256656952363647e-2,     0.6747479256954451,    -0.8040655961490587,     0.7718391729124131,   -0.12180358688812173,     0.89805180330262,    1.4763211650441557,    0.48036397238170425,    2.1215623506706054,    0.2662602625938773,  -0.4383555992494573,    1.7533589726034913,    -0.5394181820958222,   -0.8351627552439087,     2.4101188457068323,  0.9366079653758295,   1.2149818724682953,   -0.9317927907690161,  -0.5171368274689601,       2.3529800550999,   6.419824642073615e-2,     0.5593183853912574,    0.7126780765901785,     2.306152629345156, -6.784685105703259e-2,   -0.5507027245704134,  5.751096567285271e-2,    0.647771064414364,    0.2660486725357624,     -1.691281174498935,  -0.44220865187424785,     -0.305790904715361,    0.8386175380769889,    0.25626790411988226, -4.770229489880694e-2,   -1.0833675821379842,   1.2146594573475142, -2.1780486573780997e-2,  -0.2024976247827519,     1.08532120779627,   -0.2841340857985893,      1.7981028101725,  -2.844552961283214e-2,    1.741844121485712,    0.7366868674529321, -6.366595026537514e-2,    2.688407274517649,    0.9000265101320264,   -0.886625143924666,   -0.7325676819273168,  -1.7877326375378089,     1.7246463305437072,   -0.2566415275601089,    0.8400288331790281,   0.31812870479719335,  -0.8585806211926266,  -9.641788516023395e-2,   -0.5657336079204897,  6.773541905744027e-2,   -0.3902318749356676,    -1.8346453378901435,   -1.403871855753154,   -0.17881513001418342,  -0.4728628426852185,   0.21634708987246923,    0.7303474688252289,     1.4471292559970161,    1.9484706188498933,    -0.3751551643402406,   -0.5214847483282438,   0.9102689895170574,    0.1717738362241231,    1.0228177001528869, 5.555733463808785e-2,     0.500014024777446,   0.24706640532847868,   1.1325763738639472, -8.795289897936984e-2,    0.8083002629186685,  -0.18031980203496167,     -1.041051280372005,    1.3512027046167416,    2.8815179564735125,   -1.582282877277742,     0.8377038131498125,    -1.3941270094238654,   -0.2754458298004039,   1.8560534894763607,   -0.6958395537740079,    0.41391511153807475,  7.586685030180612e-2,     0.8865050831747626, 1.2068776522116357e-2,    0.32395781153539405,    2.7410079181508173,      0.614487630062308,   0.7535587681850276,  -0.34710411708696454, -6.292323953512115e-2,    2.3400113247501673,    -0.8036864832396577, -2.91079193503068e-2,   -0.1848260296399197,    -1.0608255962780402,  -0.8464886588655615,  -0.4184227576263165,   0.46358550986894115,   -1.4519823172776762,  2.5919017865271864e-2,    0.8188146797534634,      0.773453975477951,  -2.1707964488552793,    1.3222484486542931, -6.632469776843256e-2,   -1.0097347505461576,    0.22577323587819334,  -2.793060599440981e-2,   5.003780519488566e-2, -1.868102650904375e-2,     0.5986028727510758,  -0.36653724676930177,   -0.4327942980086917,     1.308188274904553,   0.12412921545987125,     0.8371861483655035,   -0.1754987491704046,    0.9316711879916934,   -0.1651994798435477,   0.1837876342550613,     1.746017408409862,  2.1807289386509943e-2,    0.5349580365810271,    0.7797897153660627,  -0.45605522835316936,    1.3639284506460603,     1.6465256627339648,   -0.5784969434993004,  -0.4671119588267959,  -1.6324459396232058,    0.2576016886084596,   0.7961174187416252,    -1.602052548628955,   1.0428082223551378,   -0.5927925054947395,   -0.8740253724359591,   -0.35397436418159944,   -1.715937261733449, -5.4717360062486925e-2,    0.8971668517992233, -8.216231891936959e-2,     0.286216751243693,    0.6677496389026395,  -0.4200024194218863, -0.6556602014814045,   0.5601196276223682,   1.29350529330407e-2,    0.4689654531366231,     -0.668136613175516,   -0.5871263513861837,     1.1910904100897113,    1.2866310751631582,     0.4323212202367267,    0.25281381941925746,    -0.8390903902707981,   -1.0764669719913478,   -0.21602319521448232,    1.4219948697739646, -4.490138186284209e-2,    0.6354304956927032,     1.776717120997125,  -0.4257489422126731, -0.23652837262043064,   -1.6627548750074432,   0.9047589222115147,   1.0977097111200729,  0.40247425410510956,   -0.5405681472511646,     0.2315862345386364,    0.8954122094289222,   -3.0470687130648613,    -0.7368954444179225,    0.7681029270664278,    0.2869609365861582,     0.9345925764317683,    0.359208756343608,    1.427250454962349,  -0.8573209145057603,  -0.9167258773066462,     0.954867322490946, -7.557198596390813e-2,   -1.2650801977340709,   -1.9277929203614508,  -1.9744582513922107, -3.2414846498702465e-2,    1.5337257393594643,    0.35364354494398825,  -1.4865096712062418,  0.44317484699688875,  -0.49100450420930136,     1.2885444223954474,     -1.202697292760776, -0.20533788272053435,   -2.4416909301613385,   -0.3843050618494393,    1.8251163395291325,   -0.12382640325760833,     0.3557373078560539,    1.2044429597902881,   -1.370438933607396,   -0.3155432324159419, -2.0836802429425684e-2,     -1.180298582602281, -9.047104715785683e-3,   -1.2212490354617012,    0.28306774452183603,    -1.346101859440336,    0.27673658879178314,   -0.2902163376055789,   0.6828575452049513,  0.19539649535068324,   0.6579522461948915,   -1.1869145863830664,  -0.12072614968439242, -0.4453655142860927,    0.5054604389952397,     0.7428509037681149,    0.4235284181077543,    -0.3443380932780065,   0.21544150888527983,  -0.7410820185177059,   5.490875313225115e-2,   -0.10110176921795237,   -1.698049586885483,     1.1978102538539608,    1.3998360573505293,    -0.7414796846163532,    -0.4367116996533643,  0.18357319680708922,      1.265050737103049,    0.6844540666175638,     1.1459512773257035,   0.4396465389144574,   0.5907565966093603,  -0.26184644529079154,     0.783816918135044,  -1.3618593183894523,     1.575291943733249,   9.13161152895164e-2,     1.6579742602313468,      0.154915093048947,   -0.7092263790784479,    0.8516657292605251,      1.06919699226461,  7.620818582402115e-2,     0.8295170888257734,    1.2538855530478448,     -1.681580134001243,    0.7798935509108468,    1.389348766823438,   -0.7993728126243991,   0.9605873990388172,  -0.20739807590128306,     2.060285531627809,    0.14513581349431115,   -0.325681283074209,   0.14511187143116394,   1.2855481422169055,    0.8233252658730309,     1.5931124104814436,    0.2224128228210582,   -1.1691708279209934,  0.26102736563944723,   -0.8779685788394889,    0.5011223710136359, -0.23333760746986243,    -1.2533351418120218,     0.4478305742974681,     0.1489303405785377,    2.207625523554524,    -1.081625367030776,  -1.6647368701464678,     0.2568481851721046,    0.18533914737239146,   1.1953185060466132, -2.991603800907349e-3,   0.4081282920650089,  0.40654238642205315,    0.6335585258987276,  0.18637590651745142,   -0.20803219689164174,     0.610211371692014,   0.5326946227894682,   0.9403173972295525,    0.5324862944777978,  -0.30595279632531935, 2.5879036993233823e-2,   -0.8993360147203968,    1.5499174305095957,     0.3821118721214323,  -0.34543338565439746,   -0.5480896331777746,   -0.29514188112085105,    0.844017770604216,    0.2332710721873571,  0.15415906280954045,     1.353480231869493,    1.8494064756147925,     -0.595983327498304,  3.346055161551106e-2,   -1.3893546087999726,  -0.16576329072875443,   -0.1329092471423862, 4.016381233930583e-2,  -0.5663870392565458,   0.7989048797180993,   -0.9864038537274792,    1.0450315166071569,      2.223649659217366,    0.7524222519424424, 8.741050502515339e-2,    0.6581406515846863,  0.21397304816879947,    0.5180061142684823,     0.6674902117741547,    0.7456533686875699,  -0.11137357529255294,     1.2363297274253877,     -2.219688492123451,  -0.2414358453615612,    0.8418309548586769, -1.927736248420564e-2,     0.3782734906193785,   -0.7187729648330796,   0.10815210182865416,   0.21518504359370724,     1.5004905419421297,   0.16390554539640556,   0.27054323478367354,    1.0272113612357328,   -0.5551716720825315,   0.38668273488446164,   1.0378578749282739,   -0.5323584237057106,    1.0460332904440015,  6.655197046020425e-2,   0.8523707985156698,   0.7482941717765013,   1.2728406159188148,  7.639962289766823e-2,    0.5441183314705116,   -1.0632784223473022,    1.3357336309147616,  -0.48291877324794336,   0.41822499854239675,    0.6347623615386933,     -2.087166214274644,    -1.2074769278383928,  -0.7443808563314412,   1.5450256926777775,     0.7962261975850617,   -1.1722380573408309,     0.8900268494557825,   -0.9964924801495922,  -0.3098226935712119,   0.6601563836774897,   0.9819742584549429,  -0.42471497284240783,     0.3730289578704153,   0.18101866788161664,   -0.1922158735878178,   0.45145165798903475,   -0.1669981868396164,   0.26072928408288876,      2.183556973705058,     -0.458202713790363,   -0.8785523856491603,    0.8606471354093752,   2.4090269629337513,  1.6580864763849346,    -0.8209809346839056,   -1.3373286218695777,   -0.12913593199483567,     0.6468527879288953,      1.180231806681982,     0.2536546425269826, 2.1693257643725712e-2,  -1.0080065778900509,     0.9031435007116914,   -0.3799761824999166,    -0.1286534499098308,    1.4453301018066915,   -0.3525011894746364,  6.837225721166543e-2,   0.10810097591029896,   -0.6226652227810108,    -1.544263715456943,     0.3288568251253157,    0.5697238055826807, 5.131673952110191e-3,    -1.5458474032457201,    0.8719766283019404,   2.1257417492634905, -2.8603989935993206e-2,  -0.4990113166770441,  9.464103896775532e-2,  5.653827204990041e-2,   0.27346371485620424,   0.21623066439942112,    0.7911088047230247,    -0.2584060676931364,   -1.1827475704608796,    1.3317608491046478,   -0.5203723574481474,     1.889339880587174,    0.6826716373030302,  -0.5097544125807179,     -0.959077901855676,    0.5711071246894236,     -0.986384134679069,  5.860134636340718e-2,   -1.2144481916985095,   0.36775345116458197,  3.150811504436464e-2,      1.579830207151516,     0.3780784115417175,     0.2586645138442317,    0.6568532114261347,    -0.8617119996929037,  0.30674399918798273,    -1.1119053239593364,  -0.23552325660825052,   0.9135682912945879,  8.37252414017495e-2,  9.266756521482562e-2,   0.7800954463998081,    0.1780272856517272,    0.21720045247920883,   0.5322017098632973,     -0.789850983466797,   0.3109627615326823,   0.12926811538694366,    0.8042543902873066,     1.88119312728558,     0.6695626446537154,   0.4796534018452085,   -0.6417955131670964, -0.21308311580688488,   0.7412336874141001,    0.275519650437117,   2.3906903822969086,    -0.1095624969705484,    0.7021789275896851,    1.3717445639920527,  -0.30473490614736937,  -0.6193454096900519,  -0.2300998333654643,   0.43483438246853123,     0.8104160821968834,   -0.9535136632690449,     2.164397829398247,    0.3509290225915052,     0.859182424298237,   0.5247344874687222,  0.32677089115568975,   -3.3380875467360047,   -0.2838913231434616,  -0.3023666057137767,    -0.70423859867236,   -0.5267345859818133,   -0.34555792622350573,    1.0315928806161352,   -1.0928607085397521,    1.4702470717341822, 4.2237677094967375e-2,  8.821036857021819e-2,      1.35817651677027,   0.4970058407667645,    -1.7911261002155394, -0.14791224610201908,   -0.37788110351085247,   -0.2638176670459755,    1.5222097258739378,    0.6953570397353963,  0.12164628152907034,   0.3559758589513406,     0.947308589005559,    1.0425330022436399,  -0.7170913765361386,     1.1065454854281256,   -0.7040233836816846,    0.2048969589544793,    2.6848166468190384,    -0.8782097657115079,  -1.4661976907658012,   0.2475641607572382,  -0.36301343430886635,    2.0089160371955312,      0.654142266553914,  -0.10743559505416468,   0.8971805545772019,   0.8087482599123984,  -0.18189037266200714,   -0.2515016142115718,     -1.74498139608998,  -0.18395355881232264,  -0.6318144214275173,    -0.2043556699920926, 0.31733216086662996,    1.3003795992056482,     0.9737842054276384,     0.6495840530913702,  7.530323804818188e-2,  0.26517566474574195,    0.2077827141703139,    1.0354684316653757,    0.2642327570249427,   -1.2364573082910602,  -0.7045644851287473,   1.4565908836137078,    1.0587376559725958,     -1.552538803062587,     0.7977802005610025,     0.8256393760162144, 4.0541618487570194e-2,   5.608191912964827e-3,   -1.784883392150384,     0.1434136193604038,  -0.3289428737362621,     0.9165805453941727,    -1.213420168818849,     -1.140417958085331,   -1.2591588606559483,    -0.2314843620394871,   -1.3871510239394895,     -1.780892952288545,   0.25828487579888126,   0.39502958565096014,     1.080041420946035,    1.3822684765920923,     1.2268829032591055,    0.4092509072481813,    0.39444016515068864,    -0.9757702405938435,  -0.18603551224012818,    -0.4417314981953336,    0.31167657003129534,   -0.1928468839259919,   -1.0005357367246448,    -1.8922504546153323,  -0.37832143711736915,    0.5241911926501326,   0.46439066495232956,    -0.7763451173277386,     0.609563759270766,   0.4348844902711767,    0.9564088257184772,    0.234087791437963,    -1.385778510461044,   1.2135679948824971, -1.0086081315816878e-2,    0.3934150290345487,    -1.1527169142604852,    -1.1656748949980587,   0.17894484043578895,     1.0285803704675038, -7.630816608128908e-2,     1.20513439848045,     -1.313720097173521,    -0.8652465078842194,  -1.6192628522977364, -0.46177127441534793,   0.13143606135206662,    0.315230627490875,    1.4638922861836834,   0.7658637416025753,   0.12620967086354476,    0.8539210505342305,   5.52984874991161e-2,    0.8421559924900128, -6.472931212056589e-2,  2.424117514973586e-3,   -1.8988848522298758,  -0.33677513867453807,    0.6496802324483918,    0.7459371844613618,   -0.6670095102579056,     1.0091997501369117,      0.516375839818839,   -0.6165571422892205,     1.0144267715905841,     0.6178439576741996,  -0.22659289329406165, -7.865751428983614e-2,  5.021282288983766e-2,  -1.1701591947310221,  -0.2737524030079236,    -0.6739382262693109,    0.5602044029132109,  -0.7964540836401212,    -0.9341726780001783, -5.7036380572076883e-2,    -1.230453560587437,     0.5881704894779091, -7.064355037486991e-2,    -0.9486253228425211,   0.21684909593416138,    1.3949251367124906,    0.6192161772015492,   -1.8208463562810318,    0.2359703628542342,   0.9564179528168635,    -0.7353265570981494,    -0.245579974648033,    -3.094930956618673,  -0.5699793366003565,    -0.6457559501783116,    0.6898164845891941,   1.1370153770093419,  -1.7796559338782587,    0.8105183911565426,   -0.42335915932399354,  0.13627764880090637,     1.2211811238489658,   1.3010316804233528,    1.5657977677388308,    -0.4986405188245393,    0.9612003581154286,   -0.5991135569812814,   0.9086871158452535,    2.3959595104026414,    0.4754578046670266,   -0.3871262783855576,  -0.3217440206935997,   -0.5262477924926089,    -1.459375155810786,    2.4130575234569642,    -1.4025886224694022,   -0.9769504462558319,   0.28643152195534116,   0.19854716184638257,  -0.9130692199945855,  8.903179137913293e-2,   -0.21575046579468976]
+    ,[   0.18608295343580358,    0.7748791020071513,   0.43063464698883064,  -0.39995564111237786,   -1.0860918326413629,     0.9512763695667665, 2.8748363544367603e-4,    1.3610652152750078,   9.410504825871513e-2,   -1.0015211094902048,   -0.1468639061738894,     1.0965064407569098,    0.3097306008068448,    0.6862584573898545,    0.6800232607372341,   -1.5909479852756572,   -0.5702832510807485,    1.5381632409132027, -8.640663617284226e-2,    1.341062923097428,   -0.31925841761179935,  -0.5768810471794648,   0.3578907181796597,    0.8931053979901687,       -1.1206507081196,  -0.6455667541326908,  -0.8396726040906958,       0.83583709135727,   -0.11185539967242263,   6.10251422610814e-3,    -2.9557530920364794,   0.12519654631419685,    0.4999020327314539,     1.2642154504981575,     1.165128983173486,   0.19096800467719066,    2.683801589735106,    1.3610199342023206, -0.16673314109436543,   -1.118316863544842,    0.1750215048571265,  0.24488205437689278,      0.523144740543716,  -0.5826560522002047,     0.383964075967195,   0.8093544529252986, -9.425031775608018e-2,  0.14525347821032197,   0.34347359939556393,   -0.3993983532443432,  -0.8629734271691666,    1.0817411469259548,      0.252257755917293, 2.9607713544243956e-2, -5.136748664285652e-3,    0.2688558497224109,  -0.24939595905101267,   -2.7533108527960524,  -0.7583425529517335,   0.7026894017642301,    0.7463928949323448,    1.1528079671811307,  -0.37135732716690123,   -0.6999149858354127,   -1.3292670272819396,     1.3744711822404228,    0.6861026652409477,    1.1353943138154805,    1.1072156761994012,   0.28493305695539317,    0.9774222491585008,   -1.093034998786196,  -0.5288509477631782,  0.46844731329472566,  -0.24832085004203808,      1.349950917265834,    1.2092610516384865,    0.5441802375791142,     0.366638574466783,  -1.3656280599583177,  -0.42395237674711356,   0.12419946665121638,    -0.8136328444442322,    -1.2242199458425784,  -0.32125079300808573,  5.014984108204555e-2,    0.3079483965539684,   -0.753432332492439,    1.0491759587707865,  -0.7165451274991641,   1.5026058404057931,   -0.831100090619929,     0.9240096025204013,  -8.75772300926994e-2,     1.0799779807301522,    0.9811866556848814,    1.0585423046341733,     0.6663906347811122,     0.5502336244357972,    1.3027585275441134,   0.8418192262955383,    -0.5081910849963285,   -0.20514000909642502,    -2.2794992765204736,     -2.06686721590188,   0.2917193425234685,    0.41333659834030384,    0.2518699295100623,     0.5390350149799835,  -0.44230383429595616,     0.611904592603083,    0.9087411205583977,      0.516032030763591,   0.7246850199479266,    1.5377773108975805,    -0.6823315981288797,    0.6517032448204305, -1.6946595648710098e-2,    -0.5072839360643064,    1.7639261781684734,    0.7517072386412872,   0.11252095064883202,     0.3291722337611002,   1.5762589957695197,  0.43764449375094705,    0.7558210101736181,   0.22720513830574188,    0.578442130544843,    0.6957728929027234,    0.533649023905138,    0.7609259412643815,   0.37798752506240785,    0.9110247187916256,  -0.6306405704582713, -9.003038299702079e-2,  -0.16741610996991338,   1.1629718480787314,    0.3321797769457434,  -0.6572093203428577,  7.503046308930211e-2,   -0.4963207967936321,     1.270044176527097,      -0.24533345449488,    -0.7674047855134726,    -0.8090858531794988,   -0.18419780063578686,   0.6692852937762338,     2.398804680640051,     1.0384808957669789,   0.16768712281472611,    1.7788864491348182, -0.15783275863640175,    0.9284262433633379,    0.14434728311393008,   -1.1694054143588744,  5.6095798965326335e-2,  1.1092170325411392,  -1.0276026444053072,   0.14991261807542772,   0.5273397366901982,   -0.5661941891694021,     -2.482121696730686,      -1.11288304679398,   -0.9288724099132909,    0.6723558739094015,    0.3367892536055376,   -0.5339342434602751,    0.8349349039433063, -0.12147202884501448,  -0.39672996122887555,     1.4915736970490303,   0.41921165174272945,    -0.1528168275991994,    1.1043878794008222,     0.7946310373997023,    1.6936467672818307, -3.296733848035366e-2,    1.249426403070238,      1.528670398368328,   1.2551237661357784,   0.6094513017138868,     1.137546447074187,   0.7313974979120379,       0.50886134409222,   1.1897703160237743, 3.9599125866147784e-2, -8.323203845543219e-2,  -1.3457928262653336,    0.4138554430881744, -0.26252704318525216,   -1.2267222841089043,  -1.5286884073462677,   -0.16949317477730638,  -0.43647952285557684,   0.25335032469547136,    1.8190879470441066,  -2.8076862092643116,    0.17486876792180048,  -0.43702151256383087,     1.684009234318369,    1.4532428932537986,  -7.085924704777319e-2,  -0.6829746158533415,     0.8471552456612539,   0.6470429613528997,    1.3176904904563416,    0.8163208855181422,      1.157843708108014,    0.2143047738599846,      1.457838330048341,    0.9097197194038689,  -0.5407439456874293, 1.0980340434394534e-2, 2.0035153703221315e-2,     0.39650615944966,    1.0029971344282023,    0.2624730897419705,  -0.6298657538626157,  -0.40569872563155407,    -1.705660147033256,  -0.23195570716660519,   -0.22206658710165705,    1.2737079160575797,   -1.5979080384471471,   -1.198473582874664,    0.12550630123422193,    -1.1657937346544152,    0.3693588616704399, -0.15987244214029955,    1.6842209675682138,      0.508545830117528,    0.9191336843213802,     1.2196314718402486,   -0.3826463828040404,     0.6127484602484214,     0.836499025118402,     1.7034473831668342,  0.35583382221159027,   0.31619151272899504,  -0.10718522187999951,    0.1604917958386944,   -0.12474414785079468,  0.19894560276298145, -6.495424648277905e-2,    -0.4100294141234171,   0.1279117943693923,    1.481970784428585,    -2.090027808050044,    -1.113454972523242,   -0.31464234558147186,    0.5687263214474046,    -0.6035025947146876,   3.1493696452814137,   -0.5781583793946439,   0.47910539162088733,    1.7192108103067296,      1.429571424049075,     1.0923877977061938,    -1.7889037507057213,    0.6898367585837333,     0.5035948055355527,    1.7535739530142502,     1.207347286889733, -8.727563562381285e-2,     1.235825823946964,    0.44165852039246856,     2.148606498552192,    1.1243003401491514,    0.6400499887307128,    1.012845610927446,    0.6083924476773054,     0.6821878212703268,    0.8077585287539811,   -0.7735680068427643,   -1.3763668085435805,   -0.6297237981942685,     0.7366536474261349,   -0.2422752741049907,   -0.926141120165709,  -1.0996853675355232,    0.9944121527452382,  -0.3980533148084662, -7.414767918211351e-2,  -0.6466166469567814,    1.9808616798384013,     1.327025035154363,     1.5860182402509855, -0.13289231461608586,     1.3480603372577002,   0.11322528174955684,   -0.7275364586423818,   -1.8489101978618516,    -3.517820282673316,  -1.2747600563655268, -1.4054820767948388,   0.6117182068932585,     0.744234855997984,    0.5427283069209956,    -0.6147918673911703,   -0.5621323131577807,    0.13328947205604644,   -0.9297857988195669,    -0.7403589615797904,     0.2115030958915802,    -1.8848868607264773,   -2.4058412320393763,     0.9336269968766104,    1.8641543919764085,   -0.4974608378833922,   -1.7578784589033465,   -0.6674542937349535,  -0.1996635342550231,  -0.4548235933244578,     -2.60936935058018,  -1.2386654265771508,  -2.5790736526834546,  -3.4049655715027836,    -2.947591463283778,     -5.313966355534824,   -2.3770324353087093,   -2.0732763424040193,    -2.2081830183297813,   -0.5376489616108662,   -0.8006822015983984,   7.950708465179784e-3,   0.1929765346933927,   0.5623708021347597,   1.3393153396134818,    2.247324786986181,   -0.6226865184015852,   -0.6037291947932145,    0.3533549171810581,   -0.8122028567992543,  -1.0330086480100418,    -0.4137582890211713,    0.8284093163462203,    -0.7613406315541891,  -2.4823467156237005,  -0.9750512893302835,   -0.8209911835770743,    -0.9860068761520906,     -3.754989879898688,   -5.621214036174396,    -4.732731449744794,     -5.75726284183291,    -5.961874783903443,     -3.165244060603728,    -0.9821527802361406,   -1.4606881830904712,   -1.738038288648512,    -1.329105212902137,    -0.8639415194222695,     1.6575482807115978,  -2.48808061540366e-2,    0.3893185405311247,    -0.8188771092921245,   -1.8618822230203442,     -0.952061348485626,    -1.397023362949367,  -0.6350708838294942,   -0.291070258364948,   0.6764206176521006,  -0.10811930287167885,   0.26634869006278655,  1.0720035557287046,     0.331828161944183,     -0.593501910372109,    -0.817989610734612,     -3.474835693931313,   -2.5430509253309914,   -4.961699466645956,     -3.329867831650828,      -3.48725479212266,  -1.1516828807424422,  1.4171048525360393e-2, -6.107645650466101e-2,    -0.5264513984480997,     0.6034025030198563,   0.5568968093260122,     -2.172288228052985,    -1.546900649615191, -1.4572134975428565e-3,  -0.1095445467940263, 9.385295671713353e-2,    -1.093584497122302,   -1.1654078678510866,  -1.6916167357256742,     1.227001889902773,       1.1405010661249,     1.1094376127274914,     1.0752584837539247,    1.5575434833876702,  -8.51307944221565e-2,    1.4729173988030022,   -0.5616636280372872,    -1.4866478005831127,   -0.3128030647017949,    -0.5787789463271027,   -3.2435207203767247,  -1.1848319934281604,   -0.8043847914947921,  0.28559025142192557,   0.34979871123421463,    0.2587484995335731,    0.23247095142353913,   1.0370482658882396,   -0.5301391343021157,  -0.4851897519349735,   0.22662694817688697,   8.537503052208167e-2,    0.1042010855033859,    0.1506950001198266,  -1.1148640088496453,   0.39877250954401255,   -0.2830229345203956,  -0.5330316736302908,     1.0186883257078272,      1.707802144973584,     0.6792156647449212, 9.434156240520084e-2,    0.5093169937088139,  -1.8939656642587843,     0.2931286037740722,   -0.37463902931305393, 2.389626567504874e-2,   -1.6262855242465692,   -1.352617756487518,  -0.7271450900382943,    1.0863812160076076,   1.1758729629288138,    0.11591301999130883,    0.7280881828439569,  -1.1554603955345266, -0.48851316914042203,    1.1307349744993567,     0.921600227314271,   -0.7663801236988459,  6.173102785106026e-2,    0.5971922281340822,   -0.13686080483172666,    1.4311779351149914,     0.740223080806235,    0.16512496003529956,   1.3004709558223089, -5.506042338349248e-2,    1.358419379693627,     1.464289580756719,    0.1310886104090479,     -2.229456629308082,     1.053380336106687,  -0.31167094899349684,   -0.7010929405643671,  -0.22378162967909365,  -0.5482805166123046,   1.1551663046436151,   1.0751133794291947,   -0.6252785619332251,    0.6759664545216395,     -0.892466465404094,   -1.3953532089840077,   2.0656649450434794,    -0.623837578978216, 9.097448583627067e-2,   -0.6446429826281482,      0.641634066684353,   0.18286034967275583,    0.3952143582729294,      0.889781285085224,     1.0428164035653338,  -0.2263687149508647,   -0.3196416237302492,    0.5939816919125961,     0.8874734565594209,    0.6133452083752187,   0.29240460194166124,  4.861882059488258e-2,     -0.761967511862713,  -0.14644796802034474,   -0.3672949403591382,    0.5209582300986767,     2.413113712406276,    -0.796608122394985,   2.0223819708981114,  -0.38692199594236965,   -0.5658854613428536,   -0.6567132946477442,   -1.369599710573075,  0.36781655847979416, -0.26944460195265035,    0.6386654315733067,   -0.7370716100017048,   -0.8349583543334315,    0.7939547772373523,    0.7281065187672905,    2.3811595287582374,   -1.0146602201650712,   -0.12296164452622399,     0.7742701013959442,    1.588612453809289,   0.5870814298993344,     0.6613264937227453,    1.7584477222269628,    0.19230709652569505,    0.5516532112681989,   -2.293940631643516,  -1.2741531492968607,   1.0374500159994173,    0.8257723614238646,     0.8041491667629206,     1.650149531957636,   -0.6496314667197352,  3.710727368128736e-2,    1.0829009806050711,    0.7292208981032992,     0.6839766997747136,     -0.938425180647633,   -0.6583159646644958,   -0.8464214617297271,   0.5655011664721079, 0.49567749171733283,  6.1832026664307926e-2,   0.11464628379816592,     0.6512469357792229,     0.9522089114567929,     0.8522650778982941,    -0.7698555520077902,   -0.1381735048556786,   0.4304189806541507,     0.6645117670868983,  -0.14751904191268972,     0.6183111818005108, -7.189647936649779e-2,   -0.5080598053716527,   -0.3853272660478039,    0.9728477180396837,    1.7858753348129461,    2.7943768267466935,     0.8492505076844357,   0.43434632001968987, 4.904132090857413e-2,    0.12633739296471033,   -1.6601041133083698,  -1.0532979086601233,    0.31796051439221196,  -0.2850485469107697,  -0.17555709804714548,  -0.20561598633499084,  -0.14001386557985662,   0.22143625332107952,   -0.8051598563900033,     -1.526129879822949,     1.020074156426419,   -1.4656110990394808,     2.043879467907226,    2.1255636999433225,    1.0597092087733213,   2.3425174590758595,     0.9388426188739987,    -1.225428895834407,    -0.5903409398875459,   -0.6971809840213852,  -0.30427736412324746, -8.981146049962108e-3,     0.465333188492486,      1.128036413042774,    0.10203891280190025,     0.5178941709171634,    0.2184887552056695,    -0.2536065081507061,    1.409389468077853,     0.3277670408146336, -8.872635582022188e-2,   0.6939270117008794,  -0.7605162407421338,   -1.1025723909742007, 4.165345220864467e-2,  -0.21164430755846061,    -0.8245760299387199,   0.4767101407692921,  -8.765337234054402e-3, 2.065538638846994e-2,  -0.22663189011194998, -3.664057724987385e-2,  -1.3224320211473204,    -0.9204032898021622,   0.5364334955224944,   0.42526015445634885,  -0.7713029501194685,   0.6063458555862623,   0.6396254757143703,  -0.4945333007259144,     0.3298313963697474,    3.0753674693920416,   -0.6373218701176797,   -2.1578251061691494,   0.3244945994075944,  0.13622851085836568,  -0.15722548623173238,    7.29955449777808e-3,   -1.5877023084947315,   -0.5274720356124687,    1.1298957428345664,    0.5352465794367168, -0.33510932647499236,  -0.7313494704956787,    0.5760565336812496, -8.181940849540068e-2,  -0.4905542244685316,   -1.086486582207911, -5.563154273591383e-2,     0.6596550289614365,   -0.9381154971033138, -4.426799998828253e-2,    1.5483096919625385,   0.19939955896410572,   -0.8319013064602121,  -0.19564679335549393,  0.34649574223304364,      1.994820787127094,  0.15781137347788313,     1.2693526302584013,   0.12942073033830118,    1.2783948627423134,    1.3023793064815803,  0.11157877686240333,  0.13178810724936732,   0.48881288754813806,    0.3560924324319782,   0.5181277607788478,     -1.090404337293791,   -0.8354106304285556,   -0.5182447712435257,  -0.13049798206887592,   -0.14072781897725176,   0.5117839247146562,  -0.4705404583052714, -9.875574206230522e-2,   -0.7130655581146945,     0.1809352913216489,  -0.18922187798046416,  -2.0389442375778413,   1.6050174009735074,   -0.4811836465722423,    1.8500830339889816, -9.758992389323702e-2,    -1.177302394565513,  -0.9435921784149035,    -0.3805837935652468,  0.6245958499396197,    -0.654185250066734,     3.0407246951847133,     0.2896913023844165,   -1.2212044422487658,  -1.3668840688815886,   -0.2509555316718534,   -0.6488811221943258,   -1.6979554986785907,   -0.6840007654686733,  -0.6173930677073266,   0.3274820733653619, -9.484643270456793e-2,     -1.931861626323864,     0.6380219442316689,     1.6933491641670284,   -0.8767074483500137,    -0.8480245619556367,   0.5905777052778811,     0.7013673306391176,  -0.2919717580038024,     0.5099983000855444,   -0.8431204532814505,    0.12577560385605063,    0.2664591142294947,     0.9556684812994485,  9.182027676111702e-2,     0.9911781368726029, -3.457202929562564e-2,   -0.5714858830495243,    0.6675033585988442,     1.377175665716047, -4.2891355793514836e-2,    0.6893531775658499,     0.5278010561988329,     0.6824822696375321,    0.8065420874906616,     0.3510193502688922,     0.9546728300877159,   0.39175485625859263,   -1.7070984925642212,    0.29583939066654846,   -2.6230239671581748,     -0.95139114178161,  -0.23882346941456836,     -1.022950692963575,    0.4813706644762419,   0.4468848495630663,    0.5851755611080889,  -0.1337277318944412,    0.4463144669425968,  -1.0988321857698888,      -1.30847890943238,    -2.764719843366584,    -1.0790019189080544,    -0.8522451188832905,   -1.4218824931430731,     0.5794854552898776,    0.8488706348596308,  0.27642405225472305,     2.5415505135960754,      2.167621694561086,   0.5702956155495493,  -0.5299949471242094,     1.900517520342379,   0.4944002678687086,   -1.2224510179369814,   1.5393768402114703,    1.2372693361439624,   -0.6797145300835978,    1.5029011443692348, 2.0903751609729442e-2,   -1.4209557716956096,   -0.5047645153036673,    0.2345655579773086,   0.27347668551595355,    0.9221530886640648,   -0.7926637460456744,     2.584313148783977,    -0.3219953025468587,    0.39307847736486873,    1.7136337650713462,     0.9106183596702079,      1.453931304516666,    1.2220586028377627,    -1.631680821264944,   0.11309334375601779,   0.3751170292918607,  -1.8281803636565335,   -0.19242613911083153, -9.302304358916413e-3,    1.560374430126528,    0.11158930139375302,   -0.27459633145174034,   -0.5694081923452354,    -1.1054805955465044,    1.7207081249617289,   -0.11495895134475423,     0.533103992813712,    1.1546870959797533,   -0.9060975495230098,  -0.31188377592845107,    0.3268165683853105,   1.0815405004218897,     0.5022156077010353,    0.6956832834133917,    0.8779293379284756, -0.38473816178921116,    -1.7511774711530526,    -0.844309534065691,  -0.7045776537009654,  0.35776571420422904,  -0.26910376686905696,      0.539002262582973,    1.406634815492275,     1.8534693888960108, -0.19938795886573693,   -0.7141358058184251,    -0.7709713654991751,   -1.2028550582097803,    -1.204689486189981,   0.8902055774502382,  1.800835180523311e-2,   -0.9061441681098881,    0.6715498390978523,  -0.6666800706335457,     1.687384002815282,   -1.4925991026483731,   -0.3476725060674057,    0.16922690294321888,     0.868115035125534,   0.41958509263632443,   0.18572055050094777,    2.525018696219761,    0.1773835956346786,     -2.321028463375017]
+    ,[  9.336128918190997e-2,   0.13200646519078993,   0.24096023747165946,     -0.50236518136842,    0.8372307729663048,      -0.59120360168037,    0.6151252684192311,   -0.9993359974048042,  -6.076526827167314e-2,   -0.2051744450684104,   -0.7246560995116555,     2.1551547217935303,     1.752992456510621,   -0.2557569259987705,   -0.9354970139636105,   -0.5154340887208638,    0.4508383273567828,   -0.3265167469648851,    0.9386053687620941, 1.626229324263622e-3,    -1.7380935234261872,  -0.9216330602221686,   0.6329241079493186,   -0.3860705430831412,    -1.2124604814788145,   0.7582114787584188, 4.826312340639757e-2,     0.3585190003729748,    -0.8843961553936953,    -0.279037709795186,    -0.6360294537225414,     0.790845641711944,    1.2349159085466896,      1.886061376279037,   -1.6391586904526965,   0.15038105387412393, -0.40659826281735284,    0.7409697815272837,  -0.7382455894948619,  -1.4991202233574474,    0.8553405354494921,   -1.548406224572875,     1.2959880515788236,   0.9948332453975828,   -1.9754998189404918, -0.21946350920769508, -9.521902884548782e-2,  -0.9280097005205284,   -0.9806992339029115,    0.8856143223274408,  -0.8894596559340427,     1.223072747047111,     1.0278978974144348,   0.22640587504342743,   -0.3952104154372478,    0.5750612482312475,    0.3224330596576577,   -1.5443714167664198,  -0.8913974874350624, -0.16884926943429712,   -0.7565448767272799,   0.40013858361439414,   0.22825686368472833,    0.4698122923770005,     2.016587352831252,    -1.1085976075819444,    0.4409072533374981,    1.5150905120772917,  3.522563126056278e-2,    1.1800958719060501,   -1.1358308464634945,  -0.8100779712713541,   0.8595376902181882,   0.7412205098118211,  -0.11835003627055808,    -0.5523609543834026,   -0.4221712364299688,    -2.296542561657763,   0.21573193626768378,  0.22685281423601053,   -0.3903629946942579,   0.23074082753215872,    -1.0991656982419926,     -1.610940278164252,   0.13678272323360757,    0.5726518850888065,    1.0623380493031647,   1.8699986667307602,    1.0506628943974738,   0.6323279421130359,  -0.5326262478277615,   1.4199309185044742,    -1.1575785306297073,  -0.10955457817542358,     1.4737157444989204,     0.551906560533573, -7.098130996122592e-3,    -0.4336006911137171,     1.0229250091498192,  -0.17916004780485445,  -0.8584373717862751,   -0.47336812787036914,    -0.2630624971101788,    7.41358208189307e-2,    1.6600360108627812,   0.2776148896580354,    -1.1043798936982667,   -0.5389948208643025, -1.0380392096461763e-2,     1.526308758488899, -5.007204991883379e-2,   -0.5390596996226733,    -0.4832860851561019,   0.5557680909759114,   -0.4125027644079677,     2.2165838045370085,   0.48655359932982156,     1.3051895203507884,     1.5938820213295735,    0.4290032898124481,    0.9800359439096761,    0.5665003692911428,     0.8858889014943565,   1.5726232099357107,   0.6964035262063875,     1.121067120603258, -6.068556510877481e-3,  -0.7520734315326931,  -0.48517352303562605,  -1.0144316762027659,   -0.8966845643144996,  -0.23091409562644574,    0.7833893200317771,   0.6918392712330301, -9.549328602107625e-2,  -0.11577852637429382,   -2.034995911454538,    0.1770676498115577,   0.8424366322080101,    0.4081186092570993,   0.46808435323895964,    0.6221211994679084,     1.0932242678978612,    -0.5305594694321258,      2.921806887859511,    -0.2752525089555677,  -0.9778690693440723,    0.4430637925695237,     1.2612756478999076,    1.6332404780572893,    0.8722580496917401,  -0.6739863796357948,    1.0151738852741732,   2.134489342545385e-2,   0.13970395370814168,    -0.7753142262333272, 0.24514203602511647, 8.109724919118486e-2,   -2.7052299117847234,  -0.9873663316452311,   0.45559156898853226,   -0.14752307333840797, -4.8767392866792915e-2,   -0.8761170737348825,    1.3475435743748017,    -1.252476555982891,    -1.081409584415543,  5.530074713061839e-2, -0.37356667844555624,    0.9759051793975178,    -1.4388308509387155,   -1.2288018103947278,   5.997784372806067e-2,   -0.5619322127184456, -2.9271751764778628e-2,    1.2256375536879311,   -1.4031700095971797,   0.6324662076013557,      1.542611858801341,    1.767777279225692, -0.35413341016141764,   -2.3247749028646187,   -2.720047204423833,    -1.6422274010853382,  -0.7560651147162242,    0.5672847320918084,   -0.5769526996533753,  -0.9290426579630692,    1.2387032042009627,   1.1664159416536928,    0.3164154324104863,  -1.1683647198324112,    0.22950866029084602,     1.070873777933291,   -0.6388590659204978,    1.0849054454516438,   0.5800823131586849,    -1.3420464077855125,     1.587040753638123,   -0.6080458084177268,    1.0603487306350672,     0.7653025317763541,  0.34853358186255046,     1.1804398557360016,   2.2647623619720383,  8.206674467977298e-2,    0.6589309923171448,  -2.275553613927384e-2,    1.1844762621163454,    -3.0902662793766615,  -0.20567734907804172,  -1.6062288449446995,    0.7455846740402274,   -0.4094675193848153,   0.6914644964457949,    0.9321804814789318,    0.5175507560484545,   0.5666312701372314,    -1.731342670917263,   -0.7227403602216578,   -0.2841294046806982,   -0.18818035967183194,  -0.48612823475490646,   -2.0186351534666636,   0.6578740378251412, -2.1863872548195978e-2,    -0.8161095931358588,    0.4890320876758154,   0.5878821910117034,   -0.6158583145166242,     1.4303848399695742,    1.8035181420618895,    -0.2974513566354183,    1.8872194004209693,     0.7498959319857728,     1.975269306971834,    -0.8082591630786234, -0.32938078700714335,   -1.0963544089029955,    -1.141399202722683,    1.4956771204326935,    -0.7468171144468183,   1.3066458326291903,    1.2097804374230483,    -0.7672286080643321, -0.11341531938877994,   1.8052021969437826,   -0.5802116781190583,  -0.16134195954934183,   -0.43548401104909584,   -0.6531563545015676,        -2.495640202618,   1.9116013009630308,   -1.4529858560366944,    0.7822599106054058,   0.47775893419622983,    -0.7153695983401512,     0.6998550846375958,    -0.9560096355409567,    0.5840111759580086,     0.5863880734522494,    0.9246971865742515,  4.644323683578346e-3,    1.5771564418422557,   -0.8558884502835423,    0.37536416025207675,     -0.47616751244773,     0.102014718440517, -5.764284337913532e-2,   1.3614018561183918,    1.3189404512860852, -5.5422299020180074e-2,   0.40055183423090396,   -0.8953319911906493,   -0.6804223442504479,    -0.448196751286292,   -0.43810355819382013,  -0.10475790635661288, -0.12564673833587725, -0.47762375785220146,   -0.3589520543328399,  -0.8787339003131525, -3.232559657338797e-4,  -1.5153079184621172,    0.8674508573657199,    0.4132446272011621,     0.9260054724263238,  -1.0876610242925329,    -0.6467096898343689,  -0.12752083877166753,     0.638220811839194,    0.8141118780355612,    0.6109953858735113,  -0.7381325498814898, -0.5600952788480901,  0.26228685197975266,    0.8219833097507302,    0.3622726150052862,      -2.79828923464625,    1.1069688282414072,      2.190294390250305,    1.4490071724538274,    -0.1126632427337512,     -2.243950584027985,   -0.21595698584550946,    2.3145027834662946,     -1.021592622388234,   -0.2432185164153922,   -0.9104485309733933,    1.0940109114202488,   -1.4614829386779433,   0.7637665922572684,   1.0523830126154006,  -0.36973063606919554,  -1.3738454396748887,   0.9863029422595937,   1.1891902326037362,   0.14766502950054547,     0.9622723298533382,   -0.6073727566457986,   -2.2587921821385706,    -2.3852373101340576,   -1.7828347846463568,    0.2124257605463363,     0.3644374034424104,   2.2711842659517645, -0.18371033172388462,   -0.230690819479433,  -1.2011587235408359,   -0.6813584378087887,   0.26856593660609945,   0.37306374582687546,    0.8879935847050711,  -1.0175410785543848,    -0.6923812216968407,   -1.9563707167399589,    0.26514910359656263,  -1.1405966592479067,  0.15267199470690643,   -1.7922186750498463,    -0.9414341805501921,    -0.5894685769233146,   2.5523032391592446,   0.43767248966594824,  -0.49391558829435467,  -9.10895068347621e-2,    -0.6058973617340698,    -1.9571648538733164,    -1.187524070976413,   -3.693377816850547,   -2.8368316704047567,   -0.33591947359254903,     0.5309452650819364,  8.339945336285928e-2,  -0.16772552416072609,    -1.1200605252759188,    -0.540217589388797,    0.15191713519609445, -4.786596603198671e-2,   -2.208182608302547,   1.2171031343194905,  -0.7939950133711633,    0.3264156408884816,   -1.1979371952463538,  0.8766691243283596,   -1.7346187370741413,     -0.373900165261311,   -0.5875624867452436,      -0.51212260941151,    0.9665174895222678,  -1.8087057728408251,     1.9289121178886584,    -0.4954766453907565,  -0.1270654914522005,   -0.39644448079827943,   -1.4679217110285947,    -1.5724859747072673,     -2.331338987828999,   -2.848243538926308,     0.5337897336239139,   0.20728721258172536,   8.109598585545207e-2, -0.28317540834919086,  -0.8244870464430867,    -2.054530714983319,   -0.7611185065635689,   0.4293573145502128,    2.1662403026794355,    1.2175649188191306,      0.698079610712546,     0.7004996592886746,  -0.36322862160023306,    0.3661742322727242,   -2.0706269327761326,    0.6652190946167683,    0.29934379038638126,   -0.5221717336411065, -3.4685468686110235e-2,   -1.4682310615420804,  -0.6908862197540747,   -0.1432792672070394,  -1.7348995197825106,    -0.233777243274904,   -2.4870680861187116,     -2.722865738769387,  -0.7850457204520264,   -0.6637737734763836,  -0.9763741862671685,  -0.13733577232944874,     0.5538938749962975,   0.46161487159698933,   -0.4062164410088193,   0.2970584633219447,    0.9978422660007538,    0.9477548581729899,   2.0820217417505535,   8.925942395086602e-3,   -0.38935231200926645, -2.2179134776180873e-2, -0.27249185378932717,  -0.45976375455270274, -0.16084506471611498,    -1.7086161998151808,     0.7876809335927302,  0.35616022735934527,    -1.469548892996783, -0.40082856562173097,   -0.405850649164647,    -1.406482065796881,  -0.5959396692934297,    -3.0327181223730117,  -0.48173004869619374,  -1.8695001439073062,  -1.8560548076206196,    0.7176029096187361,  7.289485522977032e-2,    -1.954237042615055,  -0.39258803731492214,     1.144585390358143,     0.6461542633621727,    1.4788950465677493,   -0.8638065209269061,    0.26078973046514586,    1.654703015361474,    0.7484819098977904,   0.9457947046852204,    0.6714993081652945,   0.35566969331273673,    -0.6351999633894274,   -0.7303356521876663,  -0.20039687839704776,   0.33303521850153434,   -1.5536919575516999,    1.299656579728932,   0.3173332042864097,  -0.4294559020414886,    -1.570962615245503,   -1.2344319353409643,    -1.0202824937122468,   -1.9469127336697212,  -0.8428838122823477,   -0.5407914274391116,  0.32259920777594436,    0.3187094700275307,     0.9607205966655085,    0.5839256404867977,  -0.25277766489203846,     0.3787086400460924,   7.445598179634161e-2,   0.5279459485270722,    1.3364622272185334,    2.1013401347147296,    -2.1235038449266503,  -2.93663951588867e-2,    -1.509087898888693,    1.4267352856140343,       1.26790337054352,    1.0731339723685598,  7.365266509226485e-2,    -1.014089150694797,    -1.872728225645457,   0.26754368092457903,    2.204749717771741,   -1.7380381606981234,   -0.1077008961509557, -9.295217717086728e-2,   -1.877334903591376,   -2.694260477327022,   0.8948687674388695,  -0.38220627682537245,   0.38791862713317116,     2.211954065677234,   -0.6651135190753212, -9.732431875457388e-2,   -0.5932416974187026,   -0.7199009966710083,   -0.25308414816900643,   -0.10398802035816339,  0.45769752319955537,   0.5806833789259187,    -1.2134465046481635,  -0.25550496012472007,    -0.7865489568484049,  -0.17936605278179749,   0.7971171904711755,  0.14964328782081102,   0.5251012074714302,   0.25012489691665396,    -1.1005802885131337,   -0.8691649273780774,  -0.48717039907153575,   -0.3767747992974718,   -0.3475389472910231,   -1.8517967235600974,    -1.2231146696387016,    -0.7985414846284622,    2.8030660590078034,    0.5298668165457684,  -1.4021169521915375, -0.3738013913495809,    -0.6429515557953899,    0.1930228872938739,     1.2588926343159272,    -1.1010546725572568,     0.4657963070591921,    -0.4689684833874772,    -1.038325159720591,   0.6199691579904596,     0.7017842867693294,   -0.6331753428757708,   -0.17579428061402672,    1.0206916331749256,    1.0674503676679012,   0.21847610615208893,   -0.1652378330321328,  -0.32315169735894544,   0.43052468448059333,      1.041483430646547,  -0.11367794344592005,  -1.0820887109417812,    -1.5259415688243598, -7.779694465239684e-2,     -0.6711025714432,  2.1113229431719727e-2,  -0.5665848000280282,    0.7343516945887484,    3.1410973992521156,   -0.9848467611049198,    -2.370953856078535, -7.830709176010427e-2,   -0.19602703751974074,   -0.4561603465453582,   -1.1754505622106526,    0.8898013838621398,    0.3611993975154458,  -0.24853817513438217,  -0.1579359593077932,     1.0126407168791873,   0.38078132337671333,   -0.25762549918421807, -5.398213495032121e-2,   -0.4150793361901131,   -0.1797813132387679,   -0.6797553732233287,     1.0388539703397082,     0.5694073713347252,     -0.875110162416223,  -0.23590937041047894,    -2.4579550970426367,  -0.2995486778209845,    -0.9376908596668864,   -0.5128685116559288,   0.6629962906362181,   1.6240190097720841,    2.1582058641032593,    2.870850618225518,   0.14422990547798797,     0.3032697609247524,  -2.0026709563369347,     0.6739831678134622,   1.3193317542230987,   -1.4241485654879074,    0.7360062355166537, 8.164533590409603e-2,  4.6921581825940556e-2,  -0.5207500125996729,    1.2291263282772542,   -1.258131410001295,  0.43698322361658437,  0.24805011322740297,   0.7023921054282983,     -0.739693269778046,   -0.8910931831001312,    0.1695679528307931,   -2.4735903338325493,  -1.5835073325288849,  -0.6280466669238408,  -0.18415084755091893,     0.8234262835359085,    1.6797721993725854,   -1.1957845698889826,    0.6087030398701093,    1.0497387238118696,   0.6716975468152246,  -0.3102081866748058,  -0.34465367837122585,  -0.12835986642550715,  -0.4203013678652434,  -1.0991853567670826,    -2.253243955195729,    -0.6426301315832043,    1.1366032080044777,    -0.595975858405983,    1.5439438821276437,    0.3550236988762826,   0.43701623726704586,    2.0150621808617335,  -0.7835422430882477,   -0.34179161014668885,   1.0375740634527335,     0.2460442907983419,    1.1944919282873416,    -0.305306850531226,   -1.0081152583327324, 8.585814908543102e-2,   0.9262417705207622,    0.7989054548341895,   -0.1620214700844149,  -1.4064929755697928,    -1.9315781856356617,   -0.3475350552827192,    1.3907272512027449,  5.311589866832258e-2,     -0.772450290184497,  -1.2489361893094795,  -0.3885081742203124,   -0.1928325866990995,   -0.6991932930364649,     2.0682702145269847,   -0.6867293776688972,  8.43386186515678e-2, -0.32846903446908937,   -1.3122838183404804,   -1.1020020874610443,  -0.15794114635805404,  -0.13376328200080914,   1.1821829065990324,     0.7339242544662533, -0.8498006702723873,   -0.9113249472168995,     1.4421056345922176,    -1.7119867691960913,    -0.917239600813944,  -0.8490382358888566,    -1.055384857973402,   -0.2351721176320201,    1.7564973597214384,   -1.1314484825366833,  -1.8889652260956962,  -0.3229696691668706,   -0.2896196159446246,   -0.29858844599924916,     0.1328285870185398,    0.15574290959744866, 3.6760651843303065e-2,    -1.4753323814832722,  -1.1660006620481338,    -0.5805738808493578,   0.8264889426022114,     0.9350128732428705,  -0.14385566901643132,   -0.44307856841335547,   -0.7661526215635168,    -0.1761589945072391,    0.8215400365395116,     1.6741898910002457,    0.9031963495031573, -8.092572848954462e-2,  6.047689401281809e-2,  -0.10025532055439408,     1.4723735167943623,   -0.7586951888090145,     0.8753422546040818,    -1.3850594041069366,    0.7089885177494665,     0.9732321373006878,     0.8241595621708503,     1.521538845936881,   -0.7147198496756345,      2.416081334260037,   -1.3340347794972973,   -1.9007221796533451,   -2.2005514151226677,    -0.3968014968359687,   0.23305795769590917,  -0.5566654214051304,    1.6909464974657247,  -0.6176510404582284,    1.0054490753961973,  0.18846439340711027,     -0.774403248608501,    0.9834786647387688,     0.4050731825183966,    0.10195419195268086,    0.8023870520106083,     0.5171043720148478,    0.7554299769469172, 3.498871825528074e-3, -1.1379189208858885e-2,    0.29569779772165367, -0.24763388167710404,   1.6185160652497506,   -0.9880791873443304,   0.3511989813195649,   -0.8127135222056725,  -0.3348573425462976,    0.5708826962475826,   -0.9245370499488464,    0.8910097513734546,  -0.20796157351170502,    0.8321492372562777,    2.3801797370880324,   -0.8957238248547746,   -0.9371245227977729,    0.8267971287953969,   -0.6207743098048508,   0.20475242753502873,     0.1394308615918878,     0.5952830381503632,    0.4182241501744667,    0.12010784800205357,     1.5297993171815942,   -1.3803097803001567,    0.4515749973772886,  -0.22650094686546565,   1.9214723262910587,  -0.3264362123193922,     0.8636014178544462,   -1.1371538422646754,  -0.1367990599140978,     0.8046008214613558,   -0.18319329434535195,  -9.64304705366923e-2,    -0.4004964173105841,  -5.09398999343766e-2,     1.2235465791143418,  -0.41287807213338446,   -1.5017640440248077,    0.4538852372245715,   -0.5761795033354765,   -0.5064367991137588,   0.3777910113590065, -6.1583130097450846e-2,   0.20063061040683214,  -0.37214937951392973, -0.21412192711166678,     0.7903436168941178,   -0.9377867014064639,   0.4906030185141257, -0.36646949247197746,    0.8271900923880317,    -0.4090693497359263,  -0.8168547279828394,     0.8139224059930082,   0.9314506149652684,    0.4099175780372099,    0.23719029397404925,    0.9473000374766719,      1.35642316809342,  -1.0250058500780987,    0.7942925298959836,    1.0323011397213553,     2.406995400632476, -0.34214157662920636,    1.2303972801716128,    1.0627101433026647,     1.569893838385515,     -0.509879179741024,     0.843567665154487,    0.2305412714411624,    0.7271977395028796,   1.2369756823838964,   0.27002308665729646,    0.15080006589843306]
+    ,[    0.6753014936104008,      1.03877105289122,   0.24825816159016342,    0.9288867768086073,   0.45623612219473736,     0.6242914143968187,    1.5216271369699508,    1.3312412529220845, -3.5910121003747464e-2,    2.1261502477199548,   -0.1243895945209678,    -0.7851046190174702,    1.4189030160739167,   -2.7822559213684666,    0.4779082936434212,   -0.4520541077424769,    1.1959061761582412,   0.16125288496866613,     0.649809815333571, -1.56092942255982e-2,    -0.5913530339860279,  0.43434847293098316,  -0.8118431339762712,    1.3737524082556793,     0.9170910820694439,  -0.6339333602124264,   -3.026992154173804,    -1.1401424056733531,    -0.4249563939172399,    1.0869543667443535,    -1.2690355096520136,    -2.194241560027663,    0.3390819859779917,       0.77600162263302, -3.687278208378766e-2,   -1.3678409116528882,  -1.1121841226312275,   -1.3055778811089802,   -0.464179831861951,   -1.178868863280731,      0.87132669218623, -0.37860543613697467,    0.36441992399260825,   0.7580714891656704,   0.16172819861663504,  -0.5181373631254463,    1.0948132924071379,   0.6625208172630429,   -0.8233872837885294,   -1.0189953730128787,   -1.050508825042589,  -0.38909758352937696,    -1.9791981784935258,   0.31066237512366845,   -0.7154231652704962,   -0.6429836273661956,    0.4646816535257676,    2.0929510089189822,   0.5665869385362605,  -1.1423506295405765,   0.11885618887882554,   -1.1273692729595117,   -0.2675015203354647,    0.8961345623283417,  -0.27621286911898146,     1.5542838506356882,   -0.4640098861593487,   -0.1525126124018323,   -0.2775182213889004,   0.35296272905128717,   0.35929467852610286,   1.2580173107710924,  -1.0505748025414061, -0.15446300459519594,    -0.696302706934949,    -0.5124366326670281,     2.880832925802813,   -2.1580258234471206,     0.883511129907721,   0.6468711484398046,    1.2412468571778483,   -0.9101726005349623,    -1.4061612971083297,    -1.4560692150407428,  7.615919315579035e-2,    0.8623775727808184,  2.307958428449459e-2,   0.8052079409375804,   0.40772574862666133,   0.7893441495776755,  -0.6597481722161781,     0.95349434294853,     2.4128271088187274,  -0.16515303236191206,    0.40857562217142207, -6.543575689576522e-2,     0.701755076144509,    -0.9192448637229466,    0.31433294071209583, -6.998374487908737e-3,  -0.5799970383811878,    -0.5715052951351883,     0.5069654664847889,      1.324802583989656,    0.5950542461883523,  -1.7049066130163553,     1.2665558918815947,    1.3716025966020327,     0.4607267155284725,   -0.3224000941470234,    1.2938422620364662,       1.5642591987146,    -0.8109463473312186,    -0.44342721463824,    0.1379292436501154,    -2.8355911286313167,   -0.8467295237127193,     -1.032740468438238,   -0.14838269065695336,     1.018945976563868,    0.7764433072541704,    1.1056069771980142,     2.3311724740934747,   0.8906492681229905, -0.35959029792161357,   -1.4107577025777385,   0.47545450160204517,  -0.8295094507830751,     -1.86323332592869,   -1.155718039119865,   -1.1647176317984258, -7.260156444626133e-2,  -0.10671937019999138,   1.3634458189328709,   -1.1934926631198755,    -0.652606050457754,  -0.3524627758632839,   -0.3706497677362026,   -2.015021495981803,  -0.35799151330246576,   -0.5199395608044441,      -1.7192512505022,    -0.2667064560312478,     1.0307089622590988,    0.23435349414503429,    -1.0108428885026493,  0.49046905985021516,   -0.6916899439190629,     0.7736779930105493,   -1.4091222601552449,   -1.6024664748535578,  -0.3082255683273345,    0.3149695708605373,     1.1234946293421104,   -0.7157999417796768,     0.3909729031235139,  -1.318546952037075,   0.3943005729064455,  -0.16186452134244464,   1.9404285651161859,   -0.4131457990026746, -5.2876255450380154e-2,   -0.33249311143313326,    -0.544008159707682,    0.3216532010653896,   -2.2797666017893414,  7.396937029592557e-2,    0.7143945516309506,  -1.0003387863169027,    0.7762619535939516,    0.49631213841194494,    0.6165538364138404,     -0.696989505224336,   -0.3881095418574577,    -1.1269064310004882,   -0.9965126004873086,   -0.9940231470720569,  -0.8624490363373138,     1.1706564890190718,   2.1818257873794655,   1.3436085963130597,     3.311200435820327,     3.38160668917716,      1.868305860053138, -0.12370433808336193,    1.4567034439337037,    0.9354310752764685,   0.3684288121844338,    2.3688994964150263,  -1.1676279832866687,   -2.9558313261816873,  -1.3811398679957914,    -1.7716379387895327,   -0.7771370717435768,   0.11797958347867986,    0.3387973751667429,   -2.009646537522127,    -0.5562332569783934,   0.49105759930962506,   0.37645031932935186,     1.382331429447766,      2.199913999745514,  -2.3026291941716073,    -1.6770524986969222,   0.8178388043181146,    0.9863557909777827,  -0.20394404358858406,     1.1252454331105959,      2.02716078818118,     1.4770094922694839,    2.6257092608757584,   1.5847506095899935,    2.9843562462678657,     2.568117461980552,   1.6836914435922974,    0.6184032252928817,    0.5665103326157146,   0.3410492472699873,   -0.7660792844486001,   -2.9577872902956934, -7.012536932473569e-2,    -1.2200095755158642,  9.907193572203347e-2,  -0.38927620875548397,   0.7476179131618454,    -0.6297029880574664,     0.4771056476964741,   -1.0202509375532078,   1.2606797709409705,   -1.1160105470884618,     1.0997030751669945,  -0.24285893068465636,   -0.12308671310307227,    0.9132247072655179,     2.1199331059240634,    1.6757968676272914,     1.1355211024702963,    2.019206057670688,    2.7970567083297766,    2.6627022705490475,    0.1387926798254448,     1.4014447532964063,  -0.3051978946868698,    1.1055175850568344,    -0.3464049354206012,   0.6343450237131609,  -1.5348959035154306,   -0.5964195122333016,   -0.7045030244855454,    -1.0128531587264331,  -0.15289231769965786,       2.04517627666621,  -0.4920828895252052,     -0.86061482000556,   -0.2578118875686867,   -0.5554666207388953,     1.2255980416446228,    0.43660520459933744,   -0.14014650223804276,  5.241734010705168e-2,      1.762595199053501,  -0.36289382545783544,    -0.596762532441393,     2.190759357864215,    1.4323856604029253,      4.095299346545788,    2.6515078515472577,    1.9418853791629924,    0.1468215304410945, -0.14230772293508445,    1.0235254605429274,    -0.3576578904061151,  7.923810874914021e-2,     1.066664103727335,    1.3674813504582575,   -0.8876829150279707,    0.18212108466533602,  -0.33385900792309225, -0.28279810229893315,   -1.688491553551425,    -1.661751837653046,  -1.3825217135132069,   -0.9958203738159804,  -0.3597851832095863,  -0.21403311996514526,  -0.10053547412610501,     1.7237668700141056,   2.2091298939799136,     1.0573188422175956,    0.8556820708120659,    0.7204562123937123,     1.175652587818674,    0.7712180062278459,    4.114937485159248,   3.985082504193203,  -0.5992143369183404,   -0.3091615618160139,   -0.6121551979239405,  1.2243752818688555e-2, 1.1902499715398614e-2,      0.714525591539998,   -0.5826883035221163,    0.13721785728337407,    0.28528087847421846,     2.1598151706909143, 5.7695118971588535e-2,    -0.6040481579258703,    1.0025795827380224,   -0.9865434520653745,   0.21578422059684474,    0.3152971435063041,  0.38453984738555247,    2.462838366172203,     4.489134114857788,   1.6690079489920977,   1.3547256358691224,   0.9135943942036603,    0.3059158509830631,     0.6527561854623292,  8.994209216702011e-2,  8.978232832225806e-2,    0.25716001447488834,    1.3483725699646198,    -0.935433947142468,     0.4330599930566986,  -1.1986150749719275,   2.5065487170337386,   0.9194053481454157,   2.3854033521298974,    0.6523795251756942,    0.4243015043760592,    0.2910642822280054,  -0.21546336485240206,  -0.1896673243145026,    -1.5418041692994437,     1.657955883457841,     1.1621817949254163,  0.10121565113604997,  -0.3204890272143644,     0.637669403157497,     0.5597039960430477,     0.6817540276586026,   -1.213101452662817,   -0.8590340760234029,    0.5446800649854739,   0.47214367060957163,    -1.6637387557766932,     -2.968383339874222,    -4.200300705880714,  -2.3267228752053586,    1.5858768963526884,  -5.954575018283003e-2,      -1.01246454121406,     3.051981221170774,    1.5588216363541338,     0.5716207265284046,    0.9812950528045095,    0.41337360043655114,   -1.1738034852618058,  -1.0910181958172391,  0.17799492075386256,   2.0669507981501383,  6.524928404731973e-3,     0.672241220778945, -1.1639464454128914,   -0.7618724818265822,    -0.7128886339317551,   -2.3851441937007345,    -0.7968191820235953,   -0.7230380136950196,  -1.3082684386798349,    -0.6249605744578212,    -1.3544198864202086,  -1.8466228149597144,    -2.1390371443543064,   -2.3733826968855025,    -2.6469424365966767,    -0.5208423382673913,    2.816639455740514,    -0.7564318709820369, 7.0759554070121975e-3,    -0.7054379004755382, -0.11751703708422834,   0.9686843323124219,    0.7936953324699241,   0.39115189368252135,  -0.9739537904370925,    -2.029330177229915,    0.5388883980786991,   1.818491637265064e-2, -1.5399990683724732e-2,   -1.8043123219126898,    0.1549115428803933,   -0.1857700543254241,   -0.6025427546681823,     0.7473792993802706,    0.6091071787548252,    -1.4853937659876941,   -2.6470855065221293,  -1.4010190358596826,     -1.31504978261888,  -2.2716465352685358,   -0.8327968663127275,    -2.887867054963632,    -3.1826640700675584,  0.28867011240664003,   -0.2138757855953198,   1.8552235054154476,  -0.16474317646555398,   5.632272672355072e-2,  -0.28683612375415596,   -0.3482782589671346,  -0.6343726835803619,   0.40995748049198505,    -1.322074325827911,  -1.1911620753942922,     -2.256176591643057,     1.1346494359598494,     1.1591946515720524,  -1.9482624924027734,   -1.5726615167072218,  -0.9487027997506453,   3.402922259822161e-2,      2.687191507414833,   -1.811621856540292,    -2.177328438762414,  -1.4370034289048164,  -0.8370908227602819,   -2.3657442261406008,  -1.3916601102953392,    -1.3014260489737206,  -0.25613471058649984,  0.40460534688188193,  -0.1530049122465027,   -1.3991048047746626,    -0.511392470123784,  5.211771804966319e-2,  3.488339799706882e-2,   -2.4382523079371246, -5.1878661047850536e-2,   -0.7075201623419888,   -0.5267939347063183,    0.25344562048952757,   -0.657551797304349,   -1.3851956676527668, -0.42242916175194356,      1.08681459231645, -8.124485365005768e-2,     1.3205795119669812,   -0.5389959168337858,    0.6890117328641955,    -1.024103818717176, -8.398656842370249e-2,  -0.9569952817912835,  -0.4402755561132434,  -0.6716276500954467,   -1.7872288843191093,   -0.3806919305792785,   -0.37175644319632334,    1.1238131536222142,   -0.659245448340626,   -0.4650348970423688,  -1.9819135537546146,   -1.8872730082236278,    -0.5117125906804116,    -0.680224115872452,    -0.919097195711609,     -1.263431821815446,    -2.6406534230386667,  -2.3612284032061512,    1.9140575101684345,   -1.7474163255358712,      0.904874572578274,   -0.3386327071146261,     0.597566038673079,   0.10540678483854253,     1.4099613483594713,    2.1429839019819736,   -0.8538321036639628,    0.3917728561074641,  -0.32117461259873986,   -0.6430064240856922,   0.7735817672200819,    -1.103081731930382,     -3.70064910351e-2,   -0.4229573244830232,   -0.147669986713096,   0.2841069616394425,   2.0135538072792554,  -0.34261032105962946,   -0.8107904574313447,   -1.6073745929052072,   -2.0883024374338808,   -0.6485419171605299,  -0.11262704214183421,   -1.7916856571403887,    -0.7308410736957657,    -2.0939539957795774,   -1.189492936339272,  -1.5804779154255153,   -0.23736606924808712,    1.9141985993272341,      1.117396946181991,   -0.8378903556165254,   1.0691930806327663,    -1.04522041377091,   -0.777596974072105,    -0.182328092773549,     0.5188019978741222, -9.489675592707593e-2,   -0.1665120420943358,   -1.4697119962804566,    -3.160887604700631,    1.2435638801623352,     1.5798323488068287,    -0.9054828052383205,   -0.7272750434714914,   -0.5824164250890338, -0.19458165432418492,  0.7124682926796315, -1.7343871248656686e-2,   -1.0703048642973294,    -1.1605455018390598,     1.4967675386997947,    -1.0873698960566507,    0.15374361546584103,   -0.9293759447402079,  -1.0207528735719673,   -0.17193104371145823,     0.627098219867862,     0.3178153249596112, -4.370845783706756e-2, -4.691158790744918e-2,    1.1613223269850084,   -0.9822269020198457,  -0.15485044776157453,   -0.8538599844413193,  -7.901875167019656e-2,   0.45239365002156773,   0.7729586108517276,    -0.2392434098320332,  -0.20303953996580784,   0.9054573647388021,     -1.210316642137684,  -0.9763051348218023,  -0.17560863694754744,   0.15046503373213904,    -2.917035486450603,   -0.2419134513060337, -9.459248592906842e-2,     2.1177188269909544, 1.7657419760795773e-3,   -1.2418263169461066,  1.253722409737576e-2,    0.3807758481134694,    2.0842954519209393,    2.591020529770001,     1.0231454327173235,   -0.3038056026187999,    -1.0345804132673875,    0.8991226693671809,     2.446552485157933,    -0.952589712073786,   -0.7269088735318243,    -1.0480401407754092,    -1.1070027909432136,    -1.0601741657500365,    0.5746160502915524,     1.3758413577823954,  -0.8500620478138773,     -0.916915168045951,   -1.7121893760182108,    -0.48268270299954,  -0.8143003105231932,  6.257412406295997e-2,  -0.6738952857873145,   -0.5900833964624685,    -0.6006251196248189,  -0.6419869696006627,     0.1320216556246862,   0.6845446811919177,   -0.8086499926952694,   -0.2516409960423707,   0.1008826658748244,    -1.3552761017679342,    2.682627036461902,   -0.3453132435622947,  0.19634275638125528,   1.1606797239932547, -0.27563189357173995,   0.1604857817684691,     0.9882908033848028,   -0.4557812535331343,    0.8159410168697747,   -0.2934237838856347,  -0.5579694398237707,  -2.1576540397544446,   -0.6446813616610746,    -0.5856681423226198,   -2.4038030767489493,   -1.1949131707923402,   -0.2204370298345051,  -0.45605189036220484,   0.6065213797256642,   0.7432820874523983,   -1.3410333221551842,    0.5070927253809991,  -1.5366464115142562,     1.56890271079328,    0.7446600454529512,    -1.3697543606347435,   0.34441521311611784,   -0.7359508501643296,     -1.62170535127527,    0.3648784494664006,   -1.5247662587279696,   -0.7855337078148051,   0.9781451857645677,    -1.5590159371605157, -0.19173393154827234,     1.1963066585674584,    0.6700660999731837, 1.1255539945781406e-2,   -1.2043816030377585, -0.24949386957522424,   2.1927792503863217,   0.12738244314211875,    1.1236468781825262,   -0.689410794365469,    -2.6338201812631494,    0.5478621208443715,   -0.4649809980697364,  -0.17968379399869414,    -0.9448055099135737,  -1.1586353381410293,  0.36649221809639676,    1.4791069472853837,  -0.44415825504927464,     0.9719424756365992,   -0.8408721909216191,   0.6336832412331569,   0.7260593365583863,    0.4737805976968522,   -1.4958739160585497,   -1.2554696231316185,  -0.21674384668995275, -0.23687815470826823,      1.788943949374605, -0.5665875347056116,   0.32654331002530484,    -1.0877468600488354,     0.7686919714464194,     1.368073386354966, -0.10727968726957468,   -0.6057602075421895,  -0.11523141791737763,    0.8411807880627459,  -0.25697891107752274,   0.6184378172266559,  0.14806247734956995,  -0.38248756877593837,     0.8739348082370688, -1.4352619410175592e-2,    -0.5927100779652653,   0.38048495010438854,     2.5514305157312647,   1.2028450351695672,     1.1801800673777454,   1.9232920926389083,   -6.01243135756758e-2,     1.840449814347729,   -0.10859919753207287,   -0.3234859690608923,      1.430656580634845,   -1.1028625272506545,    -0.4078944567181078,    1.7130286645620638,    -0.814304819216302,    1.1879336493067838,    0.7965826503788878,      2.150718661029653,    1.0414303089673154,     1.5371876710353736,     0.4865522853106668,    0.6527590666045374,     1.8276809430743932,     0.7300609100003065,   0.23090201600877427,  -0.12673163311531968,    0.16540799027801642, 2.0815640343632626e-2,    1.7849332534375437,    0.2994862991606182,    -0.1961552801911867,  -0.28750489471443563,   1.6453158506585224,   -0.6105404818335711,   0.7549227343558349,    1.0636547033102297,   1.4497977316995463,    0.34845153150376085,     1.362871525383815,    0.28687200380783234,     0.5871817340650335,   -0.9680091786453402,     1.0463923385960199,   -0.8719551415535012,    2.632841614186747,     1.7426005862673533,     1.0647079082403208,   2.7822073623257437,   2.3319032288145243,    1.9616284672393116,   1.0601191961894605,    1.0539937874352021,   1.2066353128353848,    1.4709968788448384,    1.8483222378161561,    1.5722183624342796,     2.184239688715725,    0.7628660714365042,    0.5980741384824267,    1.9874393163380286,     1.267530838569669,     0.515942513979225,    0.9625718136811819, -5.997288671627587e-2,   -0.11267939997510606,    -0.2960929575786767,     1.829351031407048,   -0.12212368984150773,    -0.6183254859223604,   0.48725840215087735,    -0.735219693052284,    -1.576422511517279,  -0.2075595801043181,   2.6914608589142555,     1.1776174682600657,   0.38732644286953455,  -1.0337167411357313,      2.241009276273977,     0.8701188893135421,    1.1845568462257718,     2.1085878752246905,   0.42510976942033546,      2.433712207529568,    1.2965207045856941,     1.306535159078721,   -1.4605017038003147,   -0.5594835825877525,    0.9508297254824103,  -0.6708703719806859,   -0.36307589407187396,   -1.6397091577328327,   -1.1198812172085808,   1.1384709154598927,     0.3308097365334694,   -1.8721290829275663,   0.6945648954526955,   -1.367006636048849,     1.488661693324641,     1.7340795733164978,   0.6815821195543336,     1.5071275613930353,   0.3470656933510592,  -0.28886403702372054,     0.1353094493052242,   -0.3850319898557393,  -0.22765539104423796,   2.1671534421133214,    1.5190162426931881, -7.194322944069913e-2,   -0.4184815734240732,  0.32152391858976326,     1.905710645993523,    0.2666032955348162,    0.5844022850252442,      0.354934034276691,   -0.4990602409242411,   -1.1914021598802143,   -1.2588801520757475,  -1.8074119106002002,  -0.12890747325976615,      0.539895507460331]
+    ,[   -1.4372240868350776, -8.100544624146548e-2,  -0.36600911141037573,   0.21169292504038462,    1.8333361578624874,      1.684963906205028,   0.26595771274317215,  -0.40113892046656563,     0.6939719687597733,    1.5406221870502257,  -0.38667080049129393,      1.205441691514472,    1.4951956685263001,    -2.672349633742359,  -0.35646493740677204,   -1.6750445012810846,    0.2364439088955138, -8.132886666624259e-2,    1.0801526718027525,  -2.2672361049881884,      0.153059297570522,  0.31912731502047575,  -1.5851833273646239,   -1.2404917317893336,     0.5790540155092516, 7.584671314945879e-2,  -0.1215091611262293,     0.3719837233829594,      1.784472142029616,     2.458381532863337,    -1.0526685846899235,    0.5422718708367597,    0.8206141327465705,     0.5151105420151614,   -0.6384603968185684,  -0.36032086930566376,   0.1014489017124337,   0.36127479103991195, -0.30002338275415913,  -1.1911021297384443,   -0.2986306875917988,   -0.916993446106455,    -0.5357572632489181,   0.2747945420237478, 4.4815639150041345e-2,  -0.7151750362041994,   -1.5071494191920654,   -0.813432881242667,   -0.7658283521483158,    0.2757632524928773, -0.33381391647054115,    0.8128785480389034,    0.19384578278583808,     1.036236935085556,   -1.3858970805934194,    1.8520332446574923,     0.461249819656653,   -1.1851851423891442,  -2.0524159118683345,  -0.5871838116495415,    0.9379773091127571, -8.039637627512825e-2,   0.36987727122910996,    0.5861560228677515,    0.8191243527753079,    -2.0386797459312667,    0.2694894815302541,   -1.3801538139715233,   -0.7100864322632237,   0.14911398330625353,    0.4964957369378886,  0.12886689135582444,   0.9890802879022946,  -0.7122399788103991,    0.9500397143761846,    -0.1958142985659121,    2.0770440436617705,  -0.41694715671061533, -8.619993424493669e-2, -0.14611285142475341,     1.092362390045522,    0.6248448831966598,   -0.28480251186712474,    -1.0290416126518702,   -0.7238310983757973,   -0.3921541678984243,   0.27559233802403044,   0.9927804904246964,   -0.3023453131854649,  -0.3147039615696213,   -0.427598059073193,   0.3679371996787337,    -0.5515489299061179,   -0.4796584676111949, -4.2124397749726976e-2,   -0.9904826303376192,  -0.18294451758547917,     1.4160834720430788,     0.6670879141210341,  7.075638787282632e-3,  -0.3811831743843696,     1.1852508946453564,     1.9106756792846427,  -8.336090171089941e-2,     1.131688551699815,   1.0553340471857233,     2.9088627613411306,    0.6222571869319856,    0.47309030750283343,   0.45520894821969765,    1.7420728690453384,    1.1527640122673035,    -0.8069621628308059,   -0.909045310902647,   -1.6394574650153593,    -2.2977239977999364,   -0.8200562379369154,     1.6688171723647474,     -2.799447254715562,    1.3714127758646828, -8.768734602916316e-2,     2.169355554213875,     0.5343601928415147,   0.7054414231249978,   1.2802731412311015,    0.4718536989776561,   -0.2181007306061174, 9.014282962053151e-2,     2.176189837995025,      1.1362220121009,   0.14052042894753228,   -1.2959024649578788,    0.8875296804183066,   0.4165907637187737,   -0.3899024224984847,   0.24000478933067604,    1.744404797954881,   0.30889711822861027,   -1.040090099543914,   -1.9180430623367812,   -0.7891293492948408,    0.4437894445889154,     1.5346620101955337,      1.605949648851954,     -1.539216230062593,     0.8977747551312849,  0.24568285781245947,    1.9953125266572609,    -0.3058087597201294,   -0.6649473517665981,    0.4334243152189078,   -0.862237416462271,    1.8300881054427804,     1.0120193554334347,    0.4419597966686939,    -0.9298930513362478, 0.22291973283804184,   0.7031369184820725,    0.9997314323157636,   0.9551389272927947,   -0.5578770780630005,     1.3373801004990649,     -1.384752678668042,   -0.6189980087297354,    0.3394144191237433,  -0.21540923385450814,  -0.30454145514760267,   -0.7517323901475879,    1.132312933185158,   -1.0324200845910532,     0.8474538699277735, -4.220337907278172e-3,     0.7830235573084395,   -0.4986639873561353,     1.9314813078887232,   -0.1210960347855557,   -1.4146681046736227,   0.4772002926894947,     1.0240315414690007, -4.99877819813943e-3,   0.9487116180300748, -8.323824021967771e-2,   0.5622476939897474,   -0.43391027399670096,   0.8026574674211628,    0.8421324420185183,    1.8556057018489465,   0.6827322308624453,   0.21183976577042504,   -1.370213801128995,     0.981585293497813,   1.9219325759622397,    -1.2235689700507835,   -1.0272468736607527,  -0.45372563617213607,    0.6736679205932515,   0.1457143148766023,    -0.5230584703027549,   -0.5657805766339714,  -0.13261270065222855,   -1.1314607683370306,    -2.1688971280774214,   1.7252494214789988,     0.9110928988347579,  -0.6122098598563669,    0.6214185988699549,  -0.11700300423232807,    -0.6369230862233896,   -0.6232786399747264,   9.978344893467166e-2,    1.0596947716900467,   1.4406997135666508,    0.7049412066522008,    1.0083002999483113,  0.18744755949160044, 3.4102197505382646e-2,     1.530207670765498,    0.895216237055308,   -0.6216633746427007,    -1.091546340861689,    0.3680321708509784,     0.2549238439240133,  -0.43077013351055443,    0.7585075795413639,  -0.5764112206313045,     0.5052843614441564,    -1.7935391001860197,    0.6807426935410286,   1.3785014459853324,    -2.022863420646338,      2.496900690391351,   -0.4714544986791142,    0.16623366667066927,    0.9292266674106532,   -0.42092914094490896,    0.6825238010501662,    -0.6276437162283242,   -1.388301203959711,   -1.8489949326625739,    0.9348594874980768,  -8.27271841688155e-2,    -1.0224962922799705,  -1.2389406600777537, -8.818526568167151e-2,    -0.5555788524786908,  -0.3161750723927179,   -2.138901284328559,   0.18735749909043314,  -0.31957936913871865,    -1.8705117190696303,  -0.40519607548458086,     1.0031169261899469,  -0.9191127134033221,  9.619285241539574e-2,    1.8164597436359031,   -0.9896000197845001,     0.3021167197857555,     0.9130377393214876,    -1.5598351773878325,    1.3752247833417617,      3.341318783825694,    1.0929545525825617, -4.546871388983816e-2,    0.4079279112226225,   -1.4012715786360144,  1.8077017329794123e-2,    -2.872620414963636,   -0.4813128892625982,  3.025082650677908e-2, -0.19110935484415326,  3.868606291095586e-2,    -1.0404480569742771,    0.5173299147679603,   -0.8902213660654364,    -1.357404614202287, -3.383946059322417e-2,     -2.164135270277918,   -1.5804283605088412,  -0.6807217571736892,  -1.4233400279600044,   0.23304372125509057, -0.38733587948917086,   0.12089592059883052,  0.15735283428982247,    0.7157615210505303,  -0.22852413944810152,  -7.942629936197022e-2,   1.2960632256356548,     1.0826957938541961,  -0.10634646422261672,    -0.524140197787263,    0.3230401292613171,   -2.3419062022997945,  -1.6235164373571866, -2.8744969959961613,  -1.0729601215875226,   -0.1680229731503037,     0.535666157120392,     2.0609553293803513,   -1.8336381898952505,    -0.5923267595823382,  -0.42672285344289956,     1.1535841870857078,     0.3372677950957306,     0.6131402449822525,    -2.266919713072849,     0.8063333818047602,   -2.2121775661712846,   -0.1051588891372372,    -2.140205317934057,   -0.4409628220818953,   -2.209502779753678,  -0.8095028675862234,  -0.21172936996597447,   2.5683976131597954,   0.7524490910908374,  -1.4159130224156522,   0.13681357475917832,     0.8623840104555734,    0.7303376708253632,  -0.26236546014832046,  3.6651728422129576e-2,   -2.8089498317970385, -3.887597561129516e-2,    -1.6945902553836143,   -0.520298167970354,  -1.0020139177144878,   1.7267072080661927,   0.6206336434410086,     2.177588154755326,   -0.3576423492045493,     0.459258453649796,  -0.33507350418553944, -0.27380155635261827,    -0.9666801417525187,    0.5420393773211177,    -0.5858681461089881,   0.3618466630088947,  -0.7732396855437457,   0.25746581363187687,    -0.6797122718011096,     0.3277359696801977,   1.0578749207722429,    0.2474936537755211,    -1.031292863497643,  8.801035624974321e-2,    -0.6972363359784203,     0.3130557529019759,    -0.818643966881178,   1.6628313315044279,   -2.6992705976267217,    -1.3055462124036317,     1.0932566198117701,   -1.1677245511451615,    0.7019704120653572,     0.4375596407176774,    2.4002218174959413,     1.3304474986635089,    0.6025448485259017,   1.6652928092930726, -0.32974985899463827, 5.109626439599103e-2,    1.8175026504368024,   -0.6011281524333391, 0.39430204790003626,    1.7226707498201939,       2.02094595633688,     1.674305482623105,     0.6095014693368751,    1.9490501756945693,   0.2646999364760276,    -0.4474011166692833,     0.3106506557637143,   0.1251757435685851,     0.9922521164162655,    1.4176583169096177,   8.237112949988584e-2,     0.8795020699726918, -0.36926673862563103,    0.47441200850131826,    -1.066690872069246,     1.5920749415938105,   1.1807242550867532,  -0.5330989413023602,    2.8271154625859705,    1.5708318301694029,  -0.3786944510557605,     1.736973959631491,     1.244536672799253,    -0.9509497190568744,     0.8034266107405161,   -0.7428635476848574,    0.5874862671258961,   -0.2187932624599228,    1.3656626592276344,  -9.208279995849229e-2,   -0.3738135295194376,  2.5819449432222124e-2,  7.635237396373494e-2,   0.6515741054372622,   -1.0383980087355955,  -0.5914223801082577,   0.28360925427714795,    1.3361167749821263,  -4.895995591101863e-2,  -0.5233340769780052,  5.515294016455381e-2,  -0.5560895954150888,   -1.7260412415437798,    0.30155473128528626,   -0.6220535835446765,      2.26258853070568,   0.4263643067070692,    1.5286332886817355,   -0.3349948395820946,  -0.9973024422219159,    0.43251144010445414,    -0.9595958423263269,     0.8388329781642617,  -1.9592528003233944,   -2.2611586361006366, -0.19828459537548548,     0.5580884044483782,     -0.802304159925406,   1.8641680400453404,     0.553297986764782,   0.2473499716563432,   0.5004751899490713,     0.322819615017147,  -0.9217057681053477,    0.37407279243355374,     1.854990945191626,  9.28074655766807e-2,  0.11777515108230947,    -2.027285425021933,    0.8671500469062405,  7.260339865683813e-2,    2.0631159439058857,   -0.7146131863837192,     2.4609554561651947,    1.2331663740203394,      2.11497732677448,     1.8874625615157987,   0.8731647541409675,    0.4024409178477043,  -1.5047028901390858, -7.030941562956236e-2,   -0.4372966905216412,      1.941410055421491,     1.650465611756323,   -0.6969972545196115,   0.15182374546580668,    -1.331055133166949,  -1.6164805413595191,   1.3217824444191493,    2.254182099760657,   -0.6482345043370585,  9.654316001866921e-2,     -1.541444318894791,   0.26177835177455067,  -0.6187424324616461,     1.188485080353856,  -0.9158168093460795,    0.1675013789184983,    -1.4103711263366692,    0.2042289051464136,   0.40344548829399723,     0.5453346230828016,     0.5626757031173999, -0.38076172059222435,    1.0968983509955144,    0.6900454579118226,    0.13433874607356558,  -0.29626949111440143,   -0.7743815434124472,   -0.3741333449090887,     0.6179930582985403,   0.10203608066912714,    1.7479771565639899,   0.45936085344682015,   -2.0090796761617566, 3.4773376343898744e-2,   0.8579390573107921,    0.3314786513665833,   0.17733415398603591,   -0.8901167835352134,  -0.5614939070511757,   -1.108184534929425,   0.5191391692212176,    0.4573790782423175,   -0.8006797561626844,   0.20257549714843376,    1.0196940884484729,    1.2069328659496912,    1.8485546450553565,    1.9617031864783592,     0.9893298248223817,   -0.19009570560066907,    1.350572948984642,    1.436378715677484,    -0.7222199023134498,      2.08750945077635,    -0.6381694908540452,   -1.1356614029205652,   -1.034214331612138,  0.30926053279261617,   -1.430487568827295,    0.4285766185701837, -2.8554878158469525e-2,  -0.48413387998741736,   -0.8573045132698285,   -1.2578181145293106,   -0.6615330880590465,  5.587575992824465e-2, -2.9213615085659894e-2,   -0.26823628140147215,    1.1047206317411802,   -2.0634064135622796,  -1.5770630578662932,  0.3271789686812368,     0.9218217851855366,    1.5050469320867599,   7.266263531221337e-2,      0.700360342698744,      1.830434798748742,    -0.1226953335924448,   0.15338050467506453,  -0.3476855366926716,    0.22193643811922062,    0.8035214049510285,    0.41028384520071987,     0.818797641144091,   -0.4711483126939747,    1.4176127091478743,    0.4429665086963432,    0.6398532171518198,   -0.9050401340495006,       0.43158832226071,    1.3235798590863521,    0.449050666600038,    -2.7876610597340172,     1.385006590955491,   0.9352737920745811,     0.2145099595455935,  -0.7298470148197232,   -0.8638327606713356,   0.24341875542835306,    0.7736350627422056,    0.8122572154080199,    0.3535578045517605,    0.15447300466661817,      0.54244843315037,   -1.7016456186455877, 1.8346161129353576e-2,   -1.3770615128368227,    1.1646525927146474,   0.3577512634651125,     0.6299392831957981,    -1.192134553867336,     1.8714892726191774,     0.976064098982442,   -1.7307214928811774,    1.0133729143116945,     1.676178971527072,      1.915001877610416,     1.5072082579667203,    0.22804194572482242, -4.037295795842049e-2,     1.5094238725607836,  -1.5461926642796773,     0.9038319575062354, -9.984186655191594e-2,   -0.892121512550889,  -0.4938109836690363,    0.3009758894438156,    0.673699527558191,   -0.6760957505115325,    -0.7198122322623807,  -0.9397591784037862,   -0.11089552922692768,   0.8002455138222295,    1.8658812835001308,   0.45189941801709516,  -1.3630578563205273,     -2.303553895292328,   -1.211024381140261,    0.9560388935225219,   0.4501218984592025, 4.198542486946366e-2,  0.10591738301762652,    1.264696021991174,  -6.612004880126839e-2, -7.136055307790384e-2, -8.872037729866107e-2,    1.2306081731409864, 8.573447459659153e-2,  0.21217470518824466,     0.849027176842784,    -1.5983002590670181,  -0.39020236704550854,   -0.2928139853911284,    0.9052187697961682,   -0.5143143134455358,   1.4734104586563934,   0.7257994647463132,    0.5337129731208554,  -0.16072593487073109, -0.24232803223671162, -0.29381158916349887,    0.4962342501538082, -3.0385730970094928e-2,  -0.38945444645692145,   -0.1515771930511238,    -1.178698089919719,  8.050124042149862e-2,    0.5796451904134341,   -1.1719656498691016,  -0.1133154593870575,     1.9163898508447033,   2.4529843587917477,    0.28822265002462233,     1.471411233368335,    0.6664157435583733,   0.38705703768076827,  -1.5181101320199581,  0.36761329578926233,      1.15064398933804,    0.9123598232323729,   0.5107501750355596, -2.8255235949098945e-2,   0.45173746348079225,    1.9888271288638713,    0.2401470358728599,     -0.379230923710496,   1.2967349141619857,   0.5264586273604929,    0.7908119566464842,  -0.24058132992698528,     0.7830299426811468,    0.9817287116425532, -0.13043082401873765,  -1.7761779706045855,    0.5281991948622701,    0.7661067312334114,  -0.35525225425689405,    0.5528852531026602,   -1.118510745440634,     -1.026748236747917,  0.1498129548684304,     0.673003554729969,   6.835050618289983e-2,   -0.31805792281171785,    0.5549449405375122,   0.5993772584917414,    -1.505307989734073,    1.6356651402679696,    0.4568080223106631,    1.6908620228347717,   1.8342762784520128,  0.23760457072292407,    0.6638374519270149,     0.5371272202109023,    -0.5738362807732966,     1.5287923822576763,    0.4397045270743932,    -0.7545623336222391,    0.190419064924983,    -0.4868244231835068,  -0.8708976214451378,    -1.5307115721968252,    0.9112076221871924,    0.34772928680347737,  -0.36241196175265744,   -0.37518195016518746,    0.1396654389910006,   5.295620247785575e-2,   0.15100834392498838,      0.52465560581396,   -0.3245586746623562,  -0.35791838157990497,     0.6808191207628844,   -0.8729692320083932,       1.27222373257867,     0.5510025958412808,   -0.9898957518391337,      1.846395559136984,      0.627968507768089,    1.0524992703191904,     1.620758916863238,     0.2936787103787223,    -1.129447960202132, 3.9024103384365405e-2,    0.6441119442031883,     1.5072084074882275, 1.5554690596251766e-2,   0.3890667224572656,  -0.46997582800795684,  -0.1079732093645734,    0.5419283275959196,  -1.2937493201132828,     1.6584952868026186,    2.0651108868321115,  -6.407899742272763e-2,    0.21709600682426605,   0.46162589846058233,    0.19878428877906223,   0.11167813340509129,  -0.5065115506619619,     0.8924338146933011,    -1.6086895990825238,  -0.9506363179558478,   0.9612315944779498,    0.6332126452359532,   -0.922651032360552,    0.4812824265790726,   0.5475664925648168,    0.8692910225287805,    0.9298820042176797,    1.2327043932721016,     -1.25411049255462,    1.1710447953159397,    0.7651720253835266,    1.4977796139583366,   -0.9165198148693718,   0.46874100081803655,   -0.2897147619970867,    1.0027181934931082,    -0.6289065658179082,    -0.9676217003564981,    0.9109153260978817,     0.7670955195154093,    -0.8123944279360545,   -0.5957334536344405,    0.2609353835744454,  -0.23272227954104885,  8.38173345122256e-2, -0.36781108832231874, -1.8671214708271315e-2,    -0.588899785930784,   1.3592157247717584,     1.2937271694429477,     0.5148126236793963,     2.320678812811225,     0.2354724927838793,   -0.6327533290255505,    -1.2844884188492145,    0.4011690955465498,  -0.24842377367387963,    0.7934768910532105,  8.960059921420226e-2,  9.945660285849264e-2,   1.2989683701816033,     1.5190854360853796,   -0.1704629665072032,     1.663620073750872,   0.5792866959918483,     1.4032707847180306,   0.41279290887136033, 8.148643357643517e-2,  -0.5909499691710021,   -1.1374138622493373,    -1.0750268575603807,  -1.5415528875943323,    -0.7262306906294136,   1.5995948379794895,   0.12981552067331992,      1.549472640234969,  -0.13856232436175947,    -1.007717166061443, -0.29089256113536766, -9.968634892165207e-2,  1.849605706883805e-2,    0.5131431103642082,   1.0554904063314898,    1.7994990674274514,    1.0141920087973946,   -0.4766866970626695,    -1.0321816710661231,   -0.2357269524849038,   -0.9919624156183802,   0.34068842227838547,  -0.8944653958228527,    1.7139859282606693,    -0.6624821833103225]
+    ,[    0.8967422170623945,    -1.007091298210303, -2.052798518620114e-2,   -0.3254595232239222,   0.47249428409400424,     1.5384480986023517,   -1.7277523749377484,      1.62848611916586,    -0.8627716519584592,   4.25759100248446e-2,    0.3523157495402081,     1.0691535023684733,   -0.4603022391611852,   -0.1201803264118346,   -0.4811033744971811,   -0.9648530734825911,     1.145431434861383,   -0.6959652170524044,    1.8080004099622626,   -0.809671084927154,    -0.9042037621887982, -0.47473654298629103,  -0.2513407445920329, 3.4120204633586496e-3,   -0.21378186212595324,   -2.686578614240765,    0.341647286908458,     -0.948104967730424,     0.5560519488961496,   -1.9750458987118988,     0.3877505393651325,   -1.6271084677138918,   7.43136622762566e-2,   -0.37009591774738904,   -0.5350492286976181,   -0.7681444052344719,   1.0919376658206534,    0.7349919892828812,  0.44503477529935875,   0.5790204392276193,   -1.1831060238583104, -0.49097414494357233,     0.8698884569379387,  -0.9263790807780514,   -2.4933233502123957,   0.6879789119824752,   -0.2024607187255952,  -0.7110042937196932,     0.668031121510194,   5.83696771077094e-2, -0.11185717323457557,    0.5334294054582625,     -1.086990740300836,    1.4834224469269444,   -1.2016023438869468,    0.3745832657879236,     2.161084324455347,   -0.8990390106083942,   1.3685494679255412,  -0.5312548939027449,   -1.1061855046138662,  8.465179482841641e-2,   -1.2172376516252363,   -0.7973063277951206,    1.0667395690801205,     1.7956772039524955,   -1.0622482326622549,  -0.19528729561356267,    1.1415114817733494,    0.2795039155219361,   -1.8147986892439127,  -0.7066914173013071,    1.963759949526901,   -0.941075657387193,   -1.2653942516285597,     1.4223328602233194,   -0.1480403824181185,   0.12967185400833112,   -1.2018870679006877,   0.7453509308835847,    0.3456847225115819,   -1.7444794316222267,    -1.2411137787124369,    -2.4890530686187646,   -0.2736320492059102,  -0.16511698282587103,    0.3323210207473354,  -0.9342662419206418,   -2.1072276739817837,   0.8119247430221158,   2.0626646761401743,  -1.0272949976113186,  3.3476188520319736e-2, -5.275471401277012e-2,    -0.4860250741257433,   -1.3297045972650794,    1.6120805504331555,    0.23977595432661616,     1.6969056840107666,     1.302168871905851,  -0.2953151264722723,  -5.937610091730586e-2,     0.6838714444486157,    -0.3147780104441097,    1.6412212465132718,  0.19193181979481208,    -1.6390974838825172, -3.328892411417246e-2,     1.2373676036669508,    1.5109647571398839,   -1.1926159853601872,   6.61671000570036e-2,      1.316447118764223,   1.2247803949271794,   -1.7518347778141603,    -0.4422517428107814, -9.963373091335476e-2,    -1.1096491394926864,     1.0404573716786063, -4.349814110583682e-2,     -0.59654504495375,    0.3693519561445957,    -1.1520762138557468,   -0.760549871072518,   -1.128525137866474,    0.5294254328654393,  -0.13638495700193898,   0.6945655485041418,   -0.3934173596009399,   1.7361971861917245,   -0.8375787170284456,   0.36849126807359067,    1.3092258569100585,   0.6004832518359169,   -1.1152002123939242,    1.6161069719938606,   0.8172438247140328,    0.3721070623040214,   1.5202578271731284, -8.214835703223404e-2,  -0.21540908751663407,  5.496375622987543e-2,   -0.12471636288223899,    -0.5854950918879246,     1.5973450196813497,    0.12995334644677195,   -0.450180887818723,  -0.22678534800589262,     -0.859302976516499,  -0.42950269161223753,    0.2588588801097484,  -1.9910552523018155,    -1.082349730077501,    -1.0848159432682762,  -0.17685922064485082,     0.7149481870209793,   -1.50241955227364,  -0.6706608096421799,    0.1289891452094024, -0.17011343049315122, 1.8226138676185135e-2,    -0.9749838055509702,    -0.4212826248847933,    0.4851607135733171,    0.7738880583693236,  -0.30030954401579374,    0.2830753925520504,    1.5807572807648573,    1.067580831274305,    0.6697679293336928,    0.11540573158625052,    0.6213031363906031,   -0.15885381766293338,   -0.7458012663926946,    -1.4878728301100075,  -0.19340471094571132,  -0.18198462648263314,  -0.9418638035971018,    -0.3011519277838423,   -1.512539708149072, -0.45162170203166957,    -1.171843578758298, -0.36820765384473575,     0.7442537340897514, 9.366029356648013e-2,  -0.19424669149289292,     1.135379631758069,  -1.3098622356305387,   -0.6359199684835347,   1.5146462269075722,    -0.553321667840578,   -2.112105788006427,     -2.455321464342547,   -2.7466918193347936,   -1.6215848231053465,    0.8065074494661769,  -1.9251295864689761,    -0.2857247987656419,    -0.520898464952615,    1.4462989396487116, 6.0237692582673044e-2,     -1.864538442830947,   0.4942824041831872,     0.2943989356772833,  -1.0851446585144826,   -0.8873776246969114,    0.3690256976806771,    -1.1191983753692893,  9.035150715827912e-2,      2.186491516843417,    1.0772744622979358,   0.8971612636839127,   0.30772485443282677,    0.6922846719260132,  -0.9763602130861101,    0.2170787333304412,    0.6365751564976438,  -1.2190287989588169,   -1.8567002063043345,   -1.8417847845777922,   -1.0239321180582714,    -0.9956170439896003,    -2.835364561086401,   0.21819612844632322,  -0.2806058826634275,    -0.6465865460165032,     -1.144643775247398,      0.37887270804048,   0.6689474467460471,    0.4455199980925249,    -0.1304019310041026,   -1.4046646336970372,     0.5487487499960313,   -0.5649107083251014,    -0.6235434366656684,   -0.2525125543041301,    -0.2846282254773322,  -1.8740410648583379,    0.7869899449734106,     2.221245856405696,    0.5711366724076948,     0.9274576411230806,   0.8133870436223816,   -1.1568590687122946,     0.7042727709180998,  -0.7806407731753878,    0.977174846275842,   -1.4303614479722213,   -1.1021816266369944,    -0.8302344051348067,  -0.42269934928357583,    -0.5537967614983235,  -0.8235335933973265,  -0.36809383515869976,  9.963002932438933e-2,   -1.9705676116940216,   -0.48106453070948735,    -0.8608869177741493,    -0.2428120464311029,     0.732656162715358,    -0.8179569043102211,  2.902705657041098e-2,    0.3193514188149264,  -0.46203313642775196,  -0.11691996154757418,  -4.125262283913045e-2, -2.045400112856677e-2,      3.58971800513646,    1.2100363448998925,   0.2884499856456635,    0.3163334980171809,  -3.899053054772951e-2,    -1.243006311026831,  -0.45577835753239815,   -0.7382869143382427,   -1.0684131118600675,    -2.6005730154061766,   -2.0673848569476183,  -1.8536940595301836,  -0.5394003441442881,   -1.2091813214455611,  -1.7087504249186412,   -0.3266961471807722,   1.5858025142751222,    -1.131672133394109,    0.8778157616689849,    -0.1957425082539841,   0.7002065488241475,     0.7630839563573745,   -0.6862838841717349,    -1.018928976464041,    0.9696259978819826,   -1.2944484135533403,  -0.4908984251276789,   1.051048198570081,   0.1165501368434722,    0.4230340220508957,     1.329746240579221, -4.3449258011563886e-2,    0.9874917477157489,    -1.0251822381748672,   -0.7120646795804627,    -0.2779187894032811,    -1.9095492291385339,    -2.0693195981368384,   -2.8220763740939434,    -0.3997219657138311,    1.4642769445940707,    0.2426620199557736,    0.9968304982670794,    0.4349645551926939,   1.4525217463242157,  0.25123660225289984,    1.1891268742384469, -0.11174050353083079,  0.42674893522543694,    0.466679696197048,    0.5841804916292578,     1.1084802058024117,   0.14988340885898516,   -1.3341568810507933,    -0.7868413194434906,   0.12097632505101086,    0.8156372712901018,     0.9480640257347184,   0.1021637541441194,   0.6063241424065132,   1.4192900040003018,    2.042607639105117,   0.35317408189649657,    2.6267823061006723,  -0.23631519164662945,    0.3816979267528208,  -1.2656638982977246,    -1.7166655895497775,   -0.4482242339483046,   -0.38441429693591955,   0.3542404001413038,   -0.564475328345704,    0.9797103429854855,       0.43157908957333,    -0.9454927086689291,   0.7527103274364149,      0.38318157603617,    1.1439398398595864,   -1.1831606737492504,      -0.22228652265415,    0.22780068513656032, 1.0772065574402826e-2,   -2.375877478943884,    0.7072766520755451,     -0.911008430443112,     1.5685669132531836,   0.16811129701823546,    -0.759519955887014,    -0.6552823687771433,   0.39889823845238354,    0.19624365770996924,     1.952245330921542,    1.962763808448988,   1.4401096906271704,   1.2523450078283647,    0.2797052950130271,   0.41427567059121867,  2.4973298368035324,    1.3878516628548077,      0.672332772014359,    0.1154986140903733,    -1.4274027992958642,  -0.15326020397194834,  -0.5182431597876063,    -1.1184392941440073,    -1.0215491500975367, -0.38657431156579913,    0.36913728734522455,   -1.2275152857765474,    -1.8385770791462417,    -1.1055740782993373,   -0.854327587494495,    0.18714214845395216, 2.6362882317290528e-2,     0.6455816369182591,  -1.1233652467617121,  0.27442710000434956, -4.407139202793662e-2,   -0.5761167872052695,    2.303543182270484,    0.9825684549206117,  8.693411141129548e-2,    -0.6631370313868084,     -1.108062741743116,   0.35666081953362744,   0.14248521462643643,   -0.9295485843838345,   -0.8893096000439868,  -7.620717291179926e-2,   -0.8411947299176828,    -0.5270093450677065,    0.6003498808181514,   0.5148990743062674,    0.5819937039411506, -0.14426982266318755,  -0.16232242229209157,   -1.1824285470774156,   -0.40068213762827454,   -2.220846495652305, 2.3740440933681547e-2,  -1.0063730364588654,  -0.23759780723163365,    -0.4405491185833255,    1.7532018553956834,  -0.27351904118010056,   0.6341556344463871,    1.9741619824942895, -5.746833636016535e-4,   3.0127957360573556,     1.8305866508064639,    0.16676806483411094,     -1.648974747531469, -0.43637583598791135,    1.2204913239332216,  -1.5004891335410038,     0.5797108708533777,    0.11839475008683308, 8.096676620348572e-2,    0.8315986503219382,  0.13864124316463633,   0.5717084239454878,    0.6642744737859495,   1.3038503789196665,     1.6717950795630834,   -1.5510083531041707,  -0.4475642828274591,  -2.1455667662743574,   -0.5723245822856386,   -0.8819960530025993,    1.2594949538412414,  -0.11805721648972156,    0.5537038307730926,    0.40862682809805584,    0.2822479647957912,    1.5829829706402665,     1.4461368126129306,    2.343630992856459,   -1.1595673511479887,   -1.900855736951054,  -0.20315060489985534,   -0.7460590047948864,    -1.0812104799735518,     0.792947487379545,   -0.7380703486938616,   -1.1814019716317572,     1.234773966284498,  -0.2003098165663045,   1.3337997255956002,   2.2601712737334916,    1.9201587969845078,    0.9720132034044975,     0.9245108118911802,   -0.7931418729817119,   -2.571844326999934,   0.21851664725372538,   0.4759159928612484,   -0.5612826146855521,     0.8467408269225567, -4.344209581984176e-2,  -0.41570279324412024,    -0.7256793807192258,       2.00838471923811,   2.3970977563748543,  -0.25955464736172734,   -0.7910753956320274,     0.8383347577717988,   -0.5946358070066567,  -0.39179927888837546,   -0.6259186662634227,    -0.6422416032502423,    1.3627368638691673,   -0.9968364818284833,   -0.2175965102534235,    1.0847363018846417, -8.636780246314409e-2, -0.20085623178225215,     1.012008202359341,    1.0092168702269075,    0.1557869747041113,   2.4768395413849387,   1.4262917674985005,  0.33804063153866587, 2.2397639956757965e-2,    0.3622707103229836,   0.45980829417170704,    0.4057835277376341,    0.7262589343476207,     1.634555595722619,    0.6980221268566269,   -0.12120353667555325,     0.6147024120643227,   1.2489925968352764,  -0.6777839467808577, -3.2898456652390135e-2,   -0.9997552833710608,    -0.5015347332824964,   0.45091585194036343,  -1.8664490199366652,   0.9760949897462673,  -0.7268215191390294,     -0.45497757122502,     -1.185707364699036,   -1.6133784577796637,    -1.243845869993297,    0.7791161223403508, -6.159441728477635e-2,     1.507896129405158,     0.9712640602582149,      0.650359583545895,    0.2675008862087949,   -0.2853939501586244,   -0.880856398723232,  0.3321045168716897,    -0.9319237100028509,    0.7345215600089217,    -0.9538543148272992,    0.37243276314929036,  -6.318035258168245e-2,   -0.43243171402634856, 1.2008144556196995e-2,   0.5900722781538154,     0.7148523283719522,    1.1840076615544783,     0.4254079908930215,   -0.5416503834446369,   -0.6113988972593536,   -0.7198889906030714,   -0.3418010940324576,   0.43031086489782827,    -1.434341647327849,  -7.404504771470752e-2,    0.7330013324397114,  -1.2260497188221269,    0.18167754093215144,   -2.2485459225799334,   0.5349343706919262,     2.3838057630855034,  0.22274146804650238, -7.120945879138041e-2,  7.115540922681701e-2,   -1.3916708175267953,   -1.3806435571780211,  -0.12546027925153758,    -0.5925057168149137,   -0.3568717907969275,   -0.7521421345751175,   -0.5292873188818932,   -2.1543880080124973,   -1.0082057969003275,  -1.8915606879150149, -1.6910131067309642e-2,  -0.19915823051475182,     0.4250192292493694,    -1.984928865955945,   0.36812037259455543,     2.643613970412667,  -0.19287582211708737,   -0.15832999616664098,     -1.358656669725097,    -0.8647352642488687,   -0.4990691329787874,     -0.426515888473623,  0.21324283446703945,    0.28635809290364694,    1.4372599189466102,  0.38861476392955097,   1.3587238250200928,    -1.034490975395301,    1.112851364415901,   -0.8991269413551572,   -0.41051057547822967,   0.3761473255071649,   -0.42547574339026045,   0.6127260263889153,   -0.8563365600782643,   -2.0472395272309547,  -1.5543079638112103,    -0.6124828138039993,   1.2170625179581744,     0.713308583521502,  -0.5729413742747838,  -0.5804655679428565,   0.4959897314701492,    0.651120145219495,   -0.19781725635638295,   -0.6582920938407983,   0.15106647814898783,   -0.6854506857388688,   -1.673604000960746, -0.37967515125417506,   -0.9073835739229256,    0.18704231978825442,   -0.9128359084862869,    1.2046375738984714,    0.9245491882287025,   0.11646106339656294, -0.42106787885232705, 8.302936425240147e-2,   -0.4646278170826146,    -2.096916760281131,  -1.0731868759035808,   0.4196751765272827,   -0.8296499346487992,     -0.436776395245531,    -1.501061404943821,    -1.927210742686477,    1.1694115967866947,   -2.2884211677720256,    1.8212598487079008,   -1.5255623282720712,   -1.301952677836169,    -1.2338475095893786,  -1.0052664831677365,    -0.6959868272902776,   -0.7490820393145213,   -1.1368780747933123,   -0.8262966426416349,  -1.3147294164516936,  -0.5175212893043359,   -1.1647943485233112,   -0.6752745419965492, 8.376659168111439e-2,    -0.3112887668121112,    -0.290580129245556,  9.170372956774827e-3,  5.299445210038121e-2,    -0.4548657560088415,   -1.572198675362764,   -1.950957604177346,   -2.0273321141116107,    0.5389776717116724,   -0.21215371678400588,    0.6804419368012922,    0.920161257068537,  -0.3945351360112952,  4.040322094300825e-3,   0.47107666687819416,  -0.17731989603729922,   -1.1160365184462224,   -1.451620649012648,     0.9864173843163421, -0.9694105719860358,   0.16063892940659777,     0.1779845550147155,   -0.19976020446537868,    0.2193966570916497,  -0.4637630353371735,  -0.39350227047816116,   -0.6067672304250807,   -1.7679105340630323,  -0.41104200031109844,  -0.9504492061889595,   -0.171443069489316,   -0.8734588244725672,   -0.47361295180198054,   -0.16299489657100194,    0.28226307666720724,   -0.7150581909174482,    -1.0582159740130808,  -0.2626609885991928,    -0.7534969768179439,   1.1164117646433562,    -0.8893326600389642, -8.434184014324808e-2,     2.1354282770537614,   -1.9587859338597404,     0.5997949385913658,    1.2411030371463583,    0.23269486750976362,    0.8848110087207293,     2.833866944631252,    0.3835771891412847,    2.1005552828070795,    -0.5631557241753407,   -0.7184012031617745,    -0.3248363606354327,     0.5963989610116579,    0.6387149300090573,     -1.191847131979119,    0.42546321123886205,   -1.1108451960826786,   -1.2598384115188057,   -0.15870943262627915,   -2.1893830203076377,    -0.820887672927521,   -0.1523905195508695,    -0.8448416087897135,   0.28480864255510846,   0.4659965227970461,    0.2253765364823339,  -0.4700732415693877,    -2.052339026266189,   1.9034329925528932,     0.3586075703660993,   -0.8620848140210812,    0.27185097260607294,    -1.3439420836018736,    0.7955754865198422,     0.9622292696854027,    1.2628737848802527,  -0.5400884051896616,     1.1443542848812527,     0.7474160404204283, -0.32665880834082506,   0.7144576696782345, -7.849708616136791e-3,   0.7040747401416159,  -0.39286791913400954,   0.6154507911164586,  -0.29001229740482726,   0.18277174653624914,   0.16493597806616178,   0.25111255102164537,   -0.1710511051800954,     1.664562491283245,   0.26619026007925883,   -1.3222244803361767,    1.7115692065645687,   0.23290191393377618,   -0.6725123156140368,    -0.3455701031409736,     0.3359495936193786,    0.5674011480468043,    -1.9229997158467127,     0.7599910036400362,   0.12029304009080787,  -0.13077982651771966,    1.4008506512121348,   0.6952797419205116,  0.41155620824774347,      0.777199688196338,    0.8671615392622266,   1.0134362300704758,     1.1769018976328933,     1.5017494693222178,    1.2069255956604446,     1.2103638683995939,   -0.2958100316377711,     0.8877441757316146,    2.0464696175529427,     1.621473203925891,  -0.10147472398648835,   -1.0555278464024858,    1.0433658471362655,  -0.7572973954486343,     -1.072162783463802,  4.133054361474568e-3,    0.6315922191659094,  -0.4878630204435004,     1.3658602209485293,   0.30083983787379337, -0.34061948586789226,   0.2747958670264079,  -0.24110153950365368,     1.1245916820566622,   1.5773051433839957,     0.7043903658677881,   -1.365264350118611,  -0.22012837275264244,   -0.39860614135654243,    1.0745692393452184,   -2.4813262228745168,  -0.2759779601079244,   0.12962781431284356,   -0.1993154449241833,  -0.21483357998934255,  0.25653078311797306,   -0.7553481106932994,    -0.546571962366991, -9.957911164480465e-4,    -0.1034528405376883, 3.5656039161132656e-2,   -1.1275671007619787,    1.2079422932481738,    1.719175613714638,   -0.9537221974018164,     0.9558517145937613]
+    ,[    -2.242523893712184,   -1.5360661530449118,     0.371420846634441,    0.9447086903421089,   -1.9454484216185832,    0.10245899760881925,  -0.28371471205279825,  -0.20349500927826786,     -1.761997157051138,   -2.4757622542554003,    0.6821141293608366, -1.0419965376991106e-3,  -8.55731981154904e-2,  -0.35549212628477783,    1.1306583523673144,   0.25548329249328483,   -0.5811494485650446,   -0.9181504081694799,   0.42360132229336667,   1.2196215484756958,    -0.6250861187937207,  -1.0407067487025248,  -1.1650022092239136,     2.155994201241633,    -0.6287009162713332,  9.75051151217949e-2,    1.321270218622006,    -0.7648178553241806,   -0.20219496212617358,   0.12369979719792705,   -0.43241476670300755,     -1.19064330100841,    1.5523071577242145,     0.5974644389879947,    0.2355121329028417,     2.391752029660131,  0.22088578319386698,     0.854477817102552,   2.0558781581939587,  -0.6540376735322538, 1.4199716773405553e-2,   0.6767570827386066,     0.2310388104792341,  -0.6987308027394443,   -0.6659348501855329,  -0.9245845195108073,    0.2910178667532329,  -1.4526197212197332,    -0.773979686353097,   0.20750391364536913,  0.48168119200563336,    0.5560603877774423,     1.0850929828920526,   -1.7829406633185352,   -0.6181539642316553,  8.543368385003064e-2,   -0.9983704457587718,     0.680438310222097,  0.10318014833551248,   0.6262132646430708,  -0.23836531046460227,  -0.46860112788497066,   0.15935733448030404,    0.9623547203919126,   -2.0773327151499785,    -0.5889010095861434,  1.748908596127532e-2,    0.8039163744713502,   -1.0983151721517337,  -0.10561423414831338,     1.370857277138306,    0.879181236433547,  -0.4499268247327852,   1.4679382673974624,    -1.256837989610509,     0.3879919538091646,   -0.4034590548730433,    1.5014632855981915,    0.5900674965851708,   1.5474407451899475,     0.142263906840567,  -0.14020579080795056,    0.39186988229681485,     1.0754350610828747,  -0.10544059670691285,   0.36375310817949635,   -1.8914002677341102,  0.25681078837255344,  -0.14967568127238795,   0.9258839161544611,    1.737382974355835,   0.5467852547991657,     -0.953288563158981,     1.028095147910911,     1.0312455470074855,   -0.6381049301576479,  -0.23532198997316514,     0.8548318900971844,   3.716708956896143e-2,    -2.055670706999779, -0.39572312692340916, -1.5174954681821092e-2,    -0.5195749777348244,   -0.10963215066372278,     2.209411978395776,  -0.5357494580841172,   -0.45954193660311105,   -1.3600400417908525,    -0.8665236391361043,   -0.7003426838829179,   -0.4201240053828588,    1.0440945414511758,    -0.5702718635265253,   0.3406218290165411,    1.3189049769677768,     -0.379656794752672,   -0.9151040949220304,      0.621018788351598,    -1.4246007290496407,    0.5485350097164093,  -0.25391447719449645,   -0.2334974175126256,    -0.9750943983677288,  -1.4046330294391443,  -1.3749173363476674,   -2.6269734641856597,  -0.21985551325029545,    -2.32835544844672,   0.18997801197745418, -0.25315804621129356,   -0.8622517026519162,   -0.5084735722239916,    0.2285599131127078,  -0.8681287722150972,    0.6272094458502799,   -0.5542263288723119, -0.18461087209105176,   -0.5853627056840919,   2.2613578764282956,  -0.15392705109672464,    0.6026435773793997,   -0.4174070063098051,   -0.19022644412985235,    -1.0796522813666227,   -0.31535813216385195,    -0.6854209305906558,  -1.5748943112584264,  -0.10349931973441802,    -0.9720486672228286,   -1.6312287965625594,    -0.823691306858985,  -0.5653442389562062,   -1.9468900333467825,     0.3986049327604502,    -1.477975211922001,    -2.0698551072596403, -1.9083562580398283, -0.40074560118264807,    0.5880855211249064,    -0.81897513543446,   -1.0959515633009722,     0.5938728719578337,   -0.21645675353398033,    -0.585120580966787,    1.8915266575718075,    0.5606265522619668,    -1.353904079942481,    -1.204042390535332,   2.4406034829433976,  -0.19538338412104372,    -0.4046236581634821,    0.8476384991804214,      2.340222274527671,  -0.25291774372426123,    -0.6263095009590179,   -0.1760199361675728,   -0.6492498669643498,   -2.656130770340233,    -0.2640634524028128,  -1.1092953192306765,  -1.0864771086282177,   -1.5419851627059507,   0.7523805315079641, -2.9504008102573243e-2,  -1.5890341594094217,    0.3918360583795152,     0.772183496663421, 6.021606468678216e-2,   0.12932147147095047,  0.16113076588404374,    1.0206086542349522,  0.17650045183228763,     0.6310556628856084,   -0.9599112834996054,   -0.1436884232681258,     1.968727754875849, -0.28545607896999486,    -0.5834192698381927,   -1.0569919380574802,     0.501145727337531,   -1.6243734286153755,    -0.9898681718752235,   0.3380257167520398,     0.2169876103669127,   0.3217206227995055,  -0.36206468123543456,    0.5838489457653113,     0.9658653473363235,    0.4229647186385986,    0.18431477186117232,   -0.3007883578168027,  -0.9741706946125003,     0.993231693612503,     0.824034085698637,  -0.4958566841069021,    0.5848673385453638,    0.8609133449717233,   0.9810077122566204,    1.9779591709810185,   0.43741751912506527,    0.6804993644016335,      0.112993657870601,   -1.4213705310519398,    2.0188466550783137,   1.5302483132993316,    -1.4040757198628104,    -0.3436564414231178,     1.669368570577486,  -0.8039134621442131,    1.6691363345751902,    7.68659675879468e-2,  -0.39415476987726233,    -1.0411909329126714,    1.1166009136901884,  1.5739088004846802e-2,   0.31982551224432976,     0.2865248104802892,   1.7713010138189822,   -1.0946486369421813,    1.9866018641142669,    1.0003834723630738,    -1.0248475888284063,   1.3602663373781376,     1.994636056199525,      1.416191122985511,   0.4567514025233392,  -1.1397774183692533,    1.8137099277263884,    1.9463792487014628,     1.2291338797774072,  -0.15029905582900308,    -1.3986353435485008, -0.18138501915616168,   -0.7781096923205736,    0.6697147284255462,    1.8053505010327944,     1.5406785513517471, -1.4891944792534107e-2,     0.8633485328096865,    0.1832083160513726, -3.2507172414364946e-2,    0.9068574410877104,     0.716048840499593,   -0.6094323186401222,   -0.2814748346648617,     0.6190366060947644, -5.884806753886878e-2,    0.7050779993020198,    0.8808872206370606,   1.3626152427446694,    1.4291922748272263,     0.9981680579723153, -9.828913271424555e-2,    0.6641650086892869,     0.959269964937077,    2.4893254770682423,    -0.3958780530894122,    1.9341015470372513,   0.6399625741135629,   0.5605558034126689,   0.48054660491616946,  -0.7393446833794525,    0.5778789844129192,   1.0790628230719752,     0.319793170490821,    0.7165675325160495,     0.6276612274166141,   1.9159987824413145,    -0.4865984174786905,     2.917035733260927,    2.3510954280423038,    2.0839305978898337,    2.1842186165229918,    2.435993487361475,   1.071264539834207,   0.7246454054827541,    1.0208384870265663,    1.7107008197949114,    0.49349003899582905,    1.0979582357878994,     0.7367636839482963,    1.5724752734130176,     1.4026741518357744,     1.0510233731608172,     1.1518655593921594,    0.4042641929128333,     1.3374065262852737,   -0.7985022473840923,    1.0992949996558319,   -0.3147449434836445,    0.4441205654659068,  0.22659940297433892,   0.4962667022553148,   0.32415983738853577,    1.358051883301926,   0.5426718751322046,  -1.1744527910262483,   -0.5708915528703673,    0.12481092367973255,    0.9970460521410475,    0.5942716895805655,     0.7733936686371677,    -1.049054198542319,   -1.9753488036969684,   -0.12315607754382073,  0.10087828337840365,  -0.4157414330095283,  -1.2853912112017178, 2.318900068525854e-2,    0.3995137326492089,   -0.5340166085110276,    1.3836166899803564, 5.7573690480122154e-2,  -0.3829734852815797,    -0.8973078272964634,    1.5347274784405271,    0.33196632892398775,   0.8861943956359914,   0.5571618180035088,    1.6207098818577064,    -0.7765177482780046,    -1.0401009602064935,  0.41921397568776864,    1.7502895574406763,  -0.34815165375735446,    1.4284472355390907,    6.83379000279796e-2,     0.5758689635836383,    1.9108761996652304, -0.37087217116995186,   -1.0869242762449611,     -2.552524767815519,    -1.2691882209882963,   -1.7175829727974392,  7.577838974618198e-2,    -1.9644604606842249,   -1.5859677829640513,    -1.3032033296256371,   -0.9072280412419301,   0.7660031070594892,  -1.2035751926082903,  -0.5080125732602948,    0.7965441627561081,    -0.492940877509402, -0.9092747188461497,   -1.2432685200904496,     0.9670820502507239,     1.399999338640244,    0.22273811180924616,    1.3061039534258678,   1.2978702896122443,     0.6718062186290208,   -0.15159943641903592,    1.096431520300719,     0.9072087115015653,    0.6147478389661445,    -1.9480614195546437,     -2.231118197727218,   -1.511915118081558,    -1.0861279562954482,   -2.2427845877038406,    -1.2637461311457876,  -0.9472013837152314,  -3.2976060211460556,   -0.5405998381128808,  -0.14001881908812977,  -1.8909432716067733,    0.2114090451480807,  -0.19960840421461745,     0.6285868774106989,    -1.8160348848424261,   -0.7357303723982263,   -2.1931117639437447,  -0.46855736974372914,    1.3305315086273821,      0.863248401910221,    0.5503817054910825,    0.44611960095796804,  -0.25233040065244533,   0.2720532752837273,   0.17675739797477852,   1.0332773011694292,    1.1554307569294144,   -0.3492343158178428,    -2.2869301185272994,   -1.467577256128591,   -2.0855327351247426,   -1.584004744069276,   -0.7901663983908165,    -1.2196364490644627,     -1.57734117380787,    -1.299343670949704,  -0.4551251963169596,   -0.9158307700491065,    -1.525831654118239, -0.37307242155793147,    -1.1863802758860504,     0.6320041965982134,     -1.324221174793293,  -0.7251690897323549,   -0.9030513570853768, -0.44475777435120273,    -0.8022667161065188,   8.413650038199912e-2,  -0.3322885781630691,  -0.24461736978842863,  0.10921997926093598,  0.18712194965604606,   0.13802272288524173,  0.26717882185619146,   -0.20796787480216716,    -2.720718014724763,  -1.0855236181426613,  -3.8619908276895547,  -0.18584225295401594,   -1.3447295299543016,    -1.722419568499626,   -0.6866036496795387,   0.14008946602372727,   -0.12141642429610577,   -1.6694811318728002,    0.7051909612363098,     1.2397364954359322,  -0.4893386166139297,   -0.6805141500358525, 4.295123294871929e-2,   -0.5160118623281102,    -1.086034938953121,  6.0451071296238876e-2,     1.948456392726462,   -2.4509290221279496,    -0.534191987718478,   -0.5966806175712311,  -1.1213398380469148,  -0.3812632376082179, -0.24555992605906524,   -0.6677351198917193, 1.9167561541676766e-2,   -0.12018787575069716,    -4.060464112321214,  -2.6709484873758966,   -2.6040746534301387,  -1.1101693586842643,   -2.3487125699570073,   -0.20103508907559722,    -1.580336543791763,   -0.6635469952004626,    -0.4440188863102238,    -0.4480831518700046,  -0.4305789960739504,   -1.0711096173747652,    0.7157123975970048,     -1.188559817125171,    0.8673408758391107,   -1.1968492806288609,    1.2470393123524657,    -1.0140479031175886,    0.2920532898735686,     2.048529097418079,   0.22189584794365913,     0.563414764085905,    1.0577534458309608,  0.42874498482247514,    1.3413147104201106,    -2.925073004129242,   -1.1792978093288284,  -1.6158433424133198,  -1.5536433376537693,  -2.7463480647625804,  -0.25454034192284347,   -0.6391385238144975,   -0.9082257961687369,    0.5992346018154022,   -0.8094872690324267,    0.3903487019949975,    1.4278567647987819,     0.6933421999196641,    -1.6128865437123447,  -1.9510612067938051,   1.2996434545255868,  -9.803948307668639e-2,    0.6222214702494808,    -0.7533355813758058,    0.8849909774127348,  -0.5524778332573602,   -1.481947366365251,   0.6041274515228577,   -0.3550427302230343,     0.5717306723166395,  -0.21448646591920345,    0.6095773451150047,    1.4245700951370015,    0.4808286203603257,   0.21795291043010545,    -0.8867894301974768, -5.1209392496007596e-2,   -2.8369971689927658,   -1.1842769078443325,   0.5449118874302525, 0.10473878897852475,    -0.8196138529335281,    0.3115219562260798,    -0.6902727095024973,   -0.13748267928910252,     1.4070671546111226,    0.22214380818259713,    0.5362479985535538,  -0.7820287957793154, -1.4154584550463159e-2,  7.518030967341227e-2,    -0.5386127863278255,   -1.2058521158261284,   -0.2532292660363828,   -1.5075197218038825,    0.8426774992206176,    1.0130701314059902,   -0.8877784518966215,   5.467197237231749e-2,    0.9701936981537799,    1.798236205044503,    -0.5851816641599206,  7.038763855744384e-2,    1.341450532550509,    -0.5396428211498449, -0.17015461224186113,   -1.5101731988792737,   -0.6393692318932408,    0.3730100245784808,   0.10217838608759662,    0.8361759336358375,    -0.7234847705345311,    0.9327986385190972,   -0.4704583609582757,   -0.7478470321442948, -8.839562706102935e-3,   0.45797042174967645,  -1.8537384743312613,  -3.150926973793746e-2,    1.1390171230769839,    0.49430812965793625,    0.8625358766083666,   -0.9602127887370461,    0.9177700376228791,   -0.8139850352707201,     1.0965546694002557,    0.14006934917622452,     0.2053678082869209,    0.2555336870271587,     1.6503044482645253,   1.6546582805143115,     0.3232040845431578,    1.5638244381195003,   1.1649664250164533,  0.21154263110785568,    0.8587007570808276,  -1.1592162552657344,   0.28990445594136205,    -2.4299263862060037,  -0.3227140404504438,     0.2588088546154035,  -1.5366101007467354,    0.4268423672332205,    0.6780522178931866, -0.39210824251485804,    -0.4756891457693349,  -1.4673710070485189,    0.6432966185161931,   0.5184724336629506, -0.12438833616676473,   2.0291227317182434,  -1.0507504733789435,   -0.36128231645374254,  -0.26863085954846605,    0.1490938948215432,   -0.5963136398750319, -0.29745357904070524,    1.102132248623719,    0.8048661423817904,    0.43246474627609854,    0.2271233994504098,  -0.12345738416074377,  -0.14997767033831755,   -1.3170139137208143, -2.76985835031056e-2, 6.879414822395005e-2,  -0.44437479713269407,   -0.1382804994547354,  -0.6916091811513733,   0.5771610198342443,   -0.3316277431118384,     0.8550395435837712,   -1.8320029147389048,  -0.37359193100085675,    1.9787757029129418,    0.8752697716256698,   -1.5970716066486645,  -0.15136130491834102,  -0.8671559256250755,    0.23028754216502953, -0.18821423658699213,      1.326375350805393,    1.4271896397218613,   -1.8015583231412562,    1.7721685891950343,   1.3482923801333166,   1.0328671167943697,    0.4950222725357645,  -0.11687584321764223,   0.5421810662832955,     -0.184961755065963,    0.5293715512268021,    0.5892772806634244,  4.815267117408958e-2,     0.4317401007734596,  -0.7873163098285468,   1.2258393579135731,   -1.3651464986427628,   0.21360405679515126,     0.2969805957705098,   -1.1505142168754854,   0.7600720995662192, -0.24221160288854598,    1.2612223217084984,   -1.8774402668766925,     1.939641456488544,   -0.1372454810470143,  -1.1754413202641085,     0.8647463133739053, -1.7036792644655434,    -0.106867806592802,   -7.93757932401457e-3,    -1.1003992770771902,   -0.6942605476084263,  0.43112957727238443, -9.488996602371311e-2,     1.176210813767062,   0.48274083486963787,   -1.1657864853369828,  0.12112421634961981,   0.7269219555042609,   -0.5974351799500408,     2.7587458281846784,    -0.7156273633497235,   -0.12045859475998417,  3.740566154356165e-2,  -3.325644949173293e-3,   0.6813379964647467,   -0.26380445441101436,  -0.1080165174675917,    -1.3436208267335485,   -1.2245491768674663,  1.6834671595203916e-2,  -0.16915396034018162,  -3.419591284426193e-2,   0.42846790934701207,  -8.726317749953676e-2,   0.29254140237669324,    1.1950092862469563,  -0.24619319768151016,    1.9877709305256042,   -0.41215172988312215,    -0.323574047428201,    -0.7072615805824775,     -1.032500060763951,  9.129159725656656e-3,  -8.639098022886339e-2,    -0.2877124471583815,   -0.4722084241264609,    0.2000174748624391,    0.12430294320622436,     1.246464374011292,    0.3577685506204762,   -0.4403256813067332,     0.6740465716784332,    -0.890422595953193,   0.4311047253659531,    0.6760138501211544,  -0.8159358152220408,   -0.4965587697003843,    -1.90908650212156,      1.523632525611893,  -0.45286481520061994,     0.5608375685869929,     0.3494088082964484,   0.23420974135626024,     0.9445176059213728, -1.350997294421762e-2,   2.4729625730452227,    -0.7360477663217865,     0.6720992601271735,   1.0980906131872838,   0.6935111425655346,    1.0185382091999229,   0.9368839681323092,    0.1946949663397602,   0.3830797774007997,     0.956036585355817,   -0.6361072898148489,   0.28716457876925444,    0.5143593015530684,    0.7754716842723431,   -1.3368462250190218,    0.5271212559885908,    -2.144453864047274, 2.1709784144128073e-2,   0.42062697351449196,    1.7568813283360234,     0.9428282916166253,     0.7658552898489933,    0.2748899388683159,     -1.309144684321181,     0.9843848712455183,   -1.6150866416103125,    1.5076710055872826,    -1.591523927565207, -0.21028554560723967,  -0.7342520907556803,     -1.236677412206915,  -0.11089575362768335,   1.0131188708993268,    0.40881684228509374,    -0.9659133722839197,    0.5419290192780187,     0.6788614979303238,   0.37643767452083277,    -0.7193661592071584,    0.6747872072147412,      1.61844943018046,    1.5697550932314241,    0.8176903649885177,  -0.22099528674320676,  -0.3591508858085382,   -0.16046280504533605, -3.525467616927214e-2,    0.9265968509477464,   1.1581338432177968,      -1.64806056313639,    1.1986293282694742, 8.895128037851804e-3,  -0.3640629416826419,     1.382839660884471,     1.5669309366195836, -0.12583925898023104,    0.15686031711620152,  0.31012544278680976,   0.45005908366631026,     1.0672001437360212,   -0.6226429096198783,   -0.8233283457989452,  -0.7210278222080656,    0.3646096989644224,    0.2744330342191938,   -1.7841377065481692,   -1.094340402780907,    0.3752845455801346,   -0.6551478748413988,   -0.5791904415005911,     -0.623171939256511,    0.7294815071945949,   -0.5834888716180321,    2.5685341444409917, -0.21006532988694246,    -0.920366913728477, -5.3331145289901113e-2]
+    ,[   0.19665340372513357,    0.8595723383124693,  -0.20740878771612473, -6.390790120018129e-2,   -1.7086334481128904,     -1.028945359590173,     -0.54573254132951,   -1.2769231967649144,    -0.8186139734660349,       0.6392168353241,    0.3661087520450267,     1.0476507412924334,    1.1018918592365914,   0.41851272756766283,  4.169971797800119e-2,   -0.6803097839863756,    1.0029128128446485,  -0.48995278231463524,    -1.705109504292527,  -0.6349213323289468,     0.7248916802327247,  -0.5247943478476997, -0.18973687602283587,    0.6509485632747939,     1.2547189020184493,  -0.8311788993842281,   0.4158355412150177,     1.0412485266565756,  -4.173740473535123e-3,   -1.5569294590393878,     1.6933855886792337,   0.19039554793472552,    0.1679804573822417,     0.8390760814781274,   0.20981113217904293,    0.6522687685384424,  -1.1369647639659042, 4.9558437941953956e-2,   0.7938512261550417,   0.8263314309611652,   -1.8296981764390237,    1.091538491148778,   -0.23437115121875454,   0.9332214830265853,     0.597131315589138,  -1.2052722129663647,   0.16341556327230733,  -0.5214618347828318,    -1.519316983617567,    1.2736458650020057,  0.40995138531662517,    0.5428806062369657,     1.2058638686296639, 3.0109194854939302e-2,    -1.947706121004715,   -1.1753484555525993, -5.237292705122046e-2,   -0.3033661010184325,   -0.840483257604063,   1.3088530376518783,   -0.5277893584810738,  -7.75317206399156e-3,   -0.6850516203157424,    0.7162779713383041,   -1.5062624638538527,     0.5833733118422089,   -1.2986433905708357,    1.4755200787146294,  8.096606017991594e-2,  5.021631682350033e-2,    0.9277431946581031,   0.5937742850622939,   0.7236783752117906, -0.12286930994866235,   0.23636327719353756,    -0.5230282576486803, 7.6509523030908405e-3,    1.6348917472268187,   -0.4440844270560921,   1.1195531851092069,    0.7227593872767663,   -0.9412591292524313,   -0.28171841434376865,    -0.6834307681697651,    0.7533711707542756,     1.256891294192866, -6.598640961337847e-2,  -1.1869023238281788, -4.363301643899595e-2,   1.8251862074085503, 8.758509361262183e-2, 7.447291514928226e-3,     -1.035531819801526,   -1.3132858022366323,    -0.5070156966000925,     1.232119242535026,   -0.4737284429381218,   -0.33280998437117193,      1.014436260326289,   -0.7052264286690759,   1.4571320216733752,    -0.5199415326254389,    -0.3532135458861892,    -0.9100803707733118,   -0.4997824431127987, -0.13890789313225652,     -0.812664666733963,   -0.1590309032647983,    -0.6302198588708784,    0.7471044726099816,    1.8541423448220784,    1.0647779725791537,     0.5739081007952148,  -0.3056440688568291,   -0.6003420489603586,     0.9218043109466154,  -0.39535179360710226,     0.5791074537688138,    0.17170478010188023,   -0.7668176871718241,    0.6586137018193031,    1.4479735421588633,   9.804570875122451e-2,   0.5431803868076439,     1.07654637988408,    1.5246392979986703,     0.204106528939329,   0.4648656499600235,    0.5808530528752675,  -1.1127551995299259,   -0.3689870736479686,   0.22753331892598425, 3.7416075506231446e-2,  -1.7737028294716888,   -0.3043227347075317,  -0.15801243383684294, 5.156509338965385e-2,    1.0108435450638424,  0.21086620267148756,   -0.4462819464663353,   -1.2285206136957982, -9.652509812519892e-2,    -0.7396882595276785,    0.12607699295580319,    -0.6179281278087027,     1.7590521935137478,  -0.9890324258191419,    1.1552815161985768,    -0.5335753369566746,   -1.4714136820479125,   -2.1206174391359007,   1.3765178161908624,  -4.89504408254579e-3,     0.9256140389220034,   -0.7911084423434849,     0.3164989837252388,  -1.327921652652905,   0.9982197244923744, 2.6920032939639474e-2,  -2.0508303367881937,    1.6481737246374213,    -0.8380417108164963,     -0.948074273194468,    -1.790286093807897,     1.107469769010047,   -1.9577068182499913,  -0.42088360609964554,     1.683213780737097,   1.1635052230438925,  3.508978591085648e-2,    -0.7938673672112186,   -0.6305191968467936,     -1.241439978702222,    0.7779199427660565,     1.0172414231015923,    -0.480139887222009,    1.1496654313616606, -0.18690714200680408,     0.5403317030055146,  -1.0836430445476277,   2.2104217425178594,     1.044194117008429,  -1.3044810144100805,    -0.1996228902014047,  -1.3222631152850586,   0.12384735346991471,   -0.7250017015370054, 8.141660740002998e-2,   -0.9738391763700498,  0.12950148741952036,   -1.9204304011977225, -0.30787141306023336,     0.9128125790650459,   -0.2766660357049351,    0.6337426573702876,    1.6355390313716902,  -0.6238983806305198,      1.418350962552806,   -0.2547026779055152,  -0.17036707905734133,   -0.3311188551797475,     1.3102782025818458,  -1.3085514889709926,     1.0015753921926132,   -1.292261710289627,    0.4946762611777883,   -0.2546281925474005,   5.849411322251548e-2,    1.0243742251641816,  3.2564520850220362e-3,     0.324341043539531,    1.026932724377807,    0.2946203125935972,    0.5343998546435663,   0.1396146166844921,    1.5744968069682512,    0.7075022672688059,   1.3793877134180952,   0.31806813792097993,   -1.8798438705294611,     1.447341540395212,    -0.5382808558154474, -9.752292248612376e-2,   -0.8942408313397205,  -0.7181632604164723,     0.6457420467033134,   -0.37739493398224977, -3.863427273291133e-2,   2.9733171555753777,  -0.38088788711849997,      0.943968493635085,   -0.4705037209831538,   2.737113928911695e-2,  4.767486863786266e-2,    -1.7044395484313517,     1.838610506161361,     1.0140124913335644,  -1.9090205756634622,    1.9617662021775333,    0.9149305818973166,   0.49617703362522225,    -0.7581266102869237, -0.10119813359823873,    0.5794128032735246,     0.6428600616718801,   1.0287522826043098,  -0.4517063958417085,   -0.8817580556674152, 4.8836308531485115e-2,    -0.7665906914125161,  4.316234925909127e-2,    0.47178728213921534,  -0.7068940165044949,    -2.294576448786966,    0.7651735393735761,   0.48649147716983726,    -0.5832402092469336,     1.8810749400887035,     0.7928999286265583,    0.9713927693092458,    0.27372277840888637,   -0.8958863792907582, -4.811807752618244e-2,    -0.822641056714141,    1.4422723047017192,    -1.0737296080738783,    0.6242019193997114,   -0.5495096087983474,    0.3896166258490957,    2.235820064032068,   0.37997278249542615,   -0.22554248226565762,    0.5594804069927136,  -0.12869737151214902,   -1.4932248892475224,   -1.3640627160011585,    -1.4711999846541193,    -1.271454112716078,  -0.8461233174401905, -0.12659338043486976,    0.7343748815315952, 9.613375749936082e-2,  -0.14423895108391602,  0.18077080632989495,  8.562445141791303e-2,    0.5874943158675903, -1.1782437822855285e-2,  -0.4702785469866924,    -2.0014996697178775,     0.163092419396381,  -0.19997676141768053,    0.7511107314534573,    0.4586653801485725,  -0.6822346279381318,  0.8924262079599536,   0.6836697150679641, -5.780101773410092e-3,   -0.3964711547366138,    -0.2138791431990703,   0.28500313055859106,      2.180305706394503,   0.21008051404055075,     1.2061535990160381,    -0.7775141083500673,    -0.9972735468135676,     0.490508038160381,    -0.6996299706158832,   0.19649671522568068,   -0.9425558128573223,   0.15043833612406257,  -0.30422477093783235,  -1.2044491540285907,   1.2262676495999032,     -2.04542455491714,  -0.6310062796667884,  -0.8981142950085106,   0.5051748658353239,    0.3750157989105148,    -1.4625561265768425,    3.3354927151564224,  4.042556384282516e-2,   -0.18448894263326035,    1.2591804740348007,     2.548106128352616,     1.1702433870664877,   -0.426018031626664,    1.706443851515829,   1.3243562597158314,   3.0322683135341575,    2.6991758478596246,     0.613793231210068,    0.3546956371050342,   -1.7603422670829678,   0.2715812503025878,     1.9129453879570923,   -2.2102550726873917,    -0.7949316934597684,   1.1382179953401113,    0.158800872975527,    0.6735088442884428,     1.4405732831851459,     0.7465990752577107,   -1.419796085866547, -8.535914081758247e-2,  -0.24559399193892517,    0.5048856930299682,    -0.4560663777682311,  -7.853495131353802e-2,   -0.7828715497601969,   1.2169639714955833,     2.913149466896516,     1.6510935489480216,     1.4928640901562555,     2.307784798139929,     1.594849596578469,     0.2844543597541051,    0.7205123777074597,     1.7495252780540596,   -0.5070699754206482, -0.24930343456452814,   -0.132603833606021,  -0.3858318580314075,   -1.3319829990550174,    -0.674298550914948,  1.9791365556481275,    1.2272529810869413,   -0.31409996638108273,   -0.3777270156448335,    -0.4609729452818757,    1.3552732305221264,  0.34599946248925917,    -0.4448747851641011,     0.7426261521558895,   -1.425985254092592, -1.6994114885581838e-2,    -0.996395082938545, -4.7132093009141424e-2,      1.795246877467258,   2.2002379949391693,     1.6663461077763655,    1.4547909787079492,     1.5228891442658972,   0.5532415956668496,   0.4925160275743004,  -0.28653537400434503,    -1.318155302630025, 2.402766868943185e-2,   -0.7697956961228791,   -1.1770940417305515,     0.1590786065034125,  -3.397575101690734e-2,    0.5973788385247238,    0.8804660636746177,     1.040677640125775,   -1.1176597848673349,    -1.3130125475465728,    -2.207321614076253,    -0.8146677811638644,   -0.4320253900532769,   0.3469511207582754,    -1.621621080609188,   -1.156120594600211,   -1.7388554274846901,  -0.27352940140031207,   8.059326833098134e-2,  -0.2412383784892155,  -0.14866713663632458,    2.395712859813478,    0.6907742467049598,    -0.6457098847996945,   -0.3715577818379039, 5.8407293711188434e-2,   -1.355855541678668, -8.502434711775042e-2,   -0.5506225826980591,  -1.7200099286558483,    -0.9011467401516983,     0.4041703734239643,      2.014624182925805,  -0.1539909921600985,    0.6927666401894027,    0.107879140329402,    0.41722758709951374,    -0.5822376085357474,   0.4682862274414829,   -0.8692281870705031,  0.12243334158038295,  -0.9931592702514193,   -0.7156244498344556,  -2.1936856068512722,    -1.5453628143566107,   -0.8370857334479256,  -1.3600446267479698,    1.263987292150204,    1.4764943932205317,   -0.3600985823490461,   0.15032433754239485,    1.3891798002871651,    0.5654712282295105,      2.261420483135371,    0.5864359778217797, -8.463676932571979e-2,   -0.10893240845015636,  -0.3408887807304684,   -0.4163257151127034,  -1.0709250803438783,     3.009803901179247,   -0.7201465403507447,      0.942474373039492,   -1.4712542362699774,     2.399078167745684,   0.19350069688261368,    2.6796016634903244, -0.41565791379145894,   -0.903539815587039,  -0.9328024502025347,    0.2734819646055399,  -0.43728942411426325,    -1.9977682701273864,   0.11477541293027184,  -1.0492835632997681,   -0.8550667611607757,   0.3499666621269768,   -0.5056036812382174,   -0.11109531562991604,    1.4178085049656686,   -1.3812856507379951, -1.0111471180658449e-2,    -0.6647928857354979,  0.43772116151608104,   -0.3718257345719609,   0.35577374424798347,    -1.4383251497117395,   -1.0926841418262547,    0.8078642109655235,     1.413039789549801,    -0.6834510046354614,    1.6770915518289202,     0.990908882777404,   -0.5975847298035211,   -0.4282625073891029,  -0.30764367765023615,   -2.527276103246842,    0.5571520033896409,    0.2650055940712639,   -1.0451369593470146,   -0.740726823471334,   0.2569486313376797,   -2.236153596654066,   -1.7740144198272714, 7.2753033805555934e-3, 1.5792360394373886e-2,   -0.8006902818967593,   0.10965558244259627,    0.7558274479312224,    0.9101877756207672,    -0.4771146215883578,    -1.3701463682615374,  -0.4380977942949011,  -1.9741860030231897,    -2.0296585811986643,   -0.6348365004575616,    -0.5710888065151837, -4.707334309410102e-2,  -0.7309686285380288,   0.7133505126603827,   0.4996331231765529,  -0.36798843480926474,     0.8937328928916123,   -1.3907608540950818,  -0.14887216940158965,   -2.4631480433682427, 1.9647487047188352e-2,  -0.34475978335124735,    0.21893886515570485,   -0.10841687686979473,   -1.2871976867915806,  -0.21860024007808568,   0.8857934198298424, -1.8910251131755458,     1.5055316909698702,  3.918968868379016e-2,     0.5252701330135083,     1.8402120210360724,    -0.3960797535079886,     1.8869650503797357,   -1.6646324771855878,  -1.9152027133463358,    -1.1106216256891857,   -0.7943646966306948,   -0.23048842128845864,      2.17363975782042,   -0.6653274748486779,   -0.5783358665318733,    0.6797524679720143,   -1.4934435937539667,    -0.144595239398779,    -3.1640089018136734,   0.17781102343818547,   -1.815690614228069,    -0.9723085306954379,  -0.18422142411716277,  -1.5080165954200442,    -1.8202130606242988,  -1.0875867327853548,    0.6095417645765676,   -1.7166926231975401,   0.30253417239523706,   -0.5486624884777049,  -0.23223484010243048,    0.35267407499551856,  -0.16648544432322426,   -0.6799561178780064,    0.4905760018328799, 1.3254525746986408e-2,   -1.1199669819792077,  -0.5497321702473907,    -0.2846367315039243,    -0.513735522845522,    -1.0297187468711342,   -0.2257969176003692,    0.2506695931527636,  3.581748674324054e-2,    1.3760514342625716,     0.4761252302515944,     0.5463490316954164,    -1.2560500071120626,  -0.45437078198202047,     0.8348298400653072,  -0.3713295171904969,    -1.7616510770122638,    -4.100463719077933,  -0.7684909066308573,   0.4941249540618305,   -0.5276524830826077,  -0.6835934163518678,   -1.1133423894670083,     1.8513821836335547, -0.24504337803780302,   5.391003448060036e-2,  -0.7582643545480348,    0.7592392616980019,   -2.0717514213630004,  -0.6132563363387628,    -0.2863393965899921,   0.4390230738145891,  -0.33185897680230086,   1.1804679527527955,  0.28354458150819506,  -0.7262564840291937, -0.16417405270173296,     -0.943716590481817,  -0.43849049155353087,   -0.7780629906950407,   0.14396150629265153, -0.15692190084421961, -0.47337902893666417,   -1.5453878514175998,     0.4043825020915464,   -1.1047794605626446,   -3.0041358559137223,   -1.2905619084348856,    0.7057677954205108,  -0.3185308202579296,  -0.7867865550803159,  -0.23661386840968227,     -1.00185612053396,   -0.996180761427052,  -0.5705071242427143,   -0.5070763674338498,    -1.2861986865488166,    -2.786048634341959,   -1.1977708421867472,     0.668101963739353,    0.2762271758245317,   -1.1157921579140058,    1.8834497366389176,   1.1773480514013168,     0.2822368120799187,   0.6232584806052072,    -0.4004769140714563,    0.8158578285983378,    -1.556688402745815,    1.1906059075289506,   -1.032033121153651,  -1.8088800053656795,    0.2367082004916508,    -1.032373879293402,   -1.143319522773882,     0.3737583003837268, 2.1231211800483367e-2,    1.0010128042253945,   -0.9486287038517365,  -3.240787180105825e-2,   -1.153349774425132,   0.8148641776409938,   0.10913245031549058,   -1.9288852370144116,    -0.6308885676297272,   7.74938748508235e-2,   -0.917314952395151,  -0.5973788632376945,    0.5752007429567509,   -0.6410096346200426,    1.7725231199872842,  -0.34795312852300875,  -0.2806521863832109,    -0.5958212847754353,  1.0747545295493421,    0.9637352976947373,     1.2740739811799284,     0.7661624188368351,   0.32443247053329666,  -0.7116317647818592,    0.5629983171716287,   -0.9813462978560282,   -0.8642650852175191,     -1.25690096516468,  -1.1554388462739282,  0.33332074507888687,    1.1768010092493573,      1.129060988130649,    -1.4784524581786767,    -0.9067998319384007,    -1.379065925435778,     -2.067772159103036,  -1.2251821089130586,   -0.28180799386440863,   0.5640435523415821,     1.0741924196356019,   -0.7218943851519332,     0.9550091283836748,    1.2697582147903828,     0.5033828341922447,    1.0117945828935153,    0.32840429697333395,    -1.104093896615202,    1.6688795920652617,    2.3681793959733093,    0.9427756146774532,   -0.14135321277413201,    1.0001284986464276,     2.1026726383282357,     1.3875085530855078,  -0.18032919383596888,      1.505551951950061,     1.5708749349451125,   0.32630429683657586,   -1.5603409179554606,   9.327159901290256e-2,   0.39829636370809407,  -0.30071340182446243,   -1.9324094319942595,     0.3714897605646417,    1.1099772517346016,   0.1999336127304267,   -2.2496303522647185,   1.0392353918170778,   -0.8507549945374926,   -0.622879743815901,    -1.1940222402693865, -5.644950228022461e-2,     0.6206482226515947,    -0.7536410303873519,   -1.9771300791109265,     0.8093195889970511,    0.7151276748697182, -0.21018798065861607,     2.2485525689320722,      0.936473049399251,   1.8031920879232515,    2.053991420453407,     2.364517905730335, -0.28992025998106635,    0.6315508786006235,   0.5405835935245383,    0.5658123374531312,   -0.5310322644774039, -6.416572944806825e-2,    1.9306502422923937,    1.0491697564692515,    3.6674618149973934,   -1.3522247694776128,    -0.401719431156174,  -0.21883578518513638,    0.7142986022592732,    0.7325494897438645,     1.4662057762693956,     -2.810818795127049,     1.132930112914377,     1.2760666200700939,     0.8692025829409619,   -1.5092335109051136, -7.309033566714752e-2, -5.428474977341863e-2,  -1.2756343337713438,   1.0996037066904056,     1.5427028117655424,   -0.6359921669233465, -0.31731350394249797,  -1.358565646915824e-2,    0.37621179337573957, -5.482044509570317e-3,     0.4033383255577715,  -0.43043335079841977,     0.3651127843105877,   -1.0499756853434998,     1.402053563695281,    0.9693972354338999,   6.53559876451743e-2,   -0.9395715297836745,    1.866863303835566,    0.12964692650445864,   -0.8570828050720475,   -0.1413142754908105,  -0.5311794399647901,     1.2498271697247547,  4.472422796339089e-2, -0.42879954361450123,   0.7488830399151077,      1.64368423527468,    -0.2088939442121083,   0.7113943530720728,     0.9350144249714177, 8.544870547342442e-3,   7.12893415761169e-2,     -1.299385776336013, -7.798271214758594e-2,  -0.12393393297496673,  -0.9084425104049201,    0.3873009000055523,  5.046584233357191e-2,   -1.6370779049782058,  -1.4867110087359934,   -0.9704489784864763,  -0.21153481318913864,   -1.0312454933080053,    -0.9971471619379028,  -0.45154163084584514,   -0.9067018797923742, -8.829668305804288e-2,  0.10935843808536932,   -1.5524056514247364,     0.4188998453403162]
+    ,[     0.698878373338252,  7.869746031268243e-2,    0.4787433405954985,    1.3804000419242677,     0.500849102294333,      1.135860269364786,   -1.4157820567994261,    -1.329585576709799,      2.528537192407508,  -0.30039688645178914,   -0.6338142828454819,     0.6075317395326008,    0.3231167937817594,   0.10290523631095677,   -0.6572726341903381,  -0.37668497166150533,   -0.7372817369526636,   -1.2833602238251844,    1.3729633997331343,   0.9602675311055626,   4.110223308698165e-2, -0.46501662261182647,   0.8452577534653842,    0.6482999244539935,    -0.4465798344352651,    0.781403976599413,   0.2162464986133449,     0.8931863723236021,     1.2149344508388165,      1.44796521068254,     0.8667041089182828,   -0.7073310563967594,  -0.10178439849231811,    -1.1414805623469237,   0.18421989289167706,   -0.5902292588161268,   0.4068148352980805,    1.0610463073908112,    1.066988527971266,  0.24735593746780918,  -0.16912248902463886,     1.69585059573857,     0.7990627789900935,    2.261002705347545,    0.6794373465163177,  0.39782176490294313,      0.86328956475747,  -2.3339985528561447,    1.1883887270800206,   -0.7684259795328011,  -0.8238205595867998,    0.3768010047004104,    -1.9260253320577787,   -1.1960049619704833, 2.1044780055935706e-2,   0.42028937169982755,   -0.4642672765650709,   -0.8910398244284216,  0.27140146564944345,  -0.7992238762220244,  -0.17225000171372026,   -0.9040755600507332,   -0.6378397509964385,   -2.2902976205594414,    0.3099691885414031,    -2.8791231767201904,   -0.8965970842358917,   -0.9124320438998722,    1.1994216822735153,   -0.8457864489459311,    1.1263816133042432, -0.24378148992859597,   0.3075527221878239,   0.9004275446406718,    0.9109420719241044,    -0.1403128387473802,   -0.4921030498163474,     1.104405612693267,    1.0757573536013085,  -0.4466414745030091,    0.6767048264612947,    1.5110960795726411,   -0.22246437235836009,   -0.30759077997405865,   -1.2855543127978546,   -0.1207672840820543,   -0.1428066920994006,   0.4918932939349807,    0.8000738474594368,  -0.4238008513901329,  -0.7043851966059615,  0.43429198587685075,     1.0017893101476116,   -0.5129020331941138,      1.341198626125651,   -0.6201593427144143,   -0.2857838605897957,     0.6637693837501748,  -6.043155765480019e-2,   -3.3820782560500864,  -0.5234031404602218,    -1.1578127400407454,   -0.23602830581218484,      0.620351672026844,    1.1018415083491822, -0.14342739844598243,    -1.4442220887673278,  -0.36890593554677414,    -1.4929035796606829,  -0.35764128991378064,    0.9062498246804374,   -2.3263130952077216,    -0.7307320029266632,   1.2560578771516018,   -1.4355394124947545,   -0.20664306535862764,   -0.1792477995648773,      0.529854756590532,     0.7463774298896176,    -0.766300886455421,   -0.7511829475942569,    1.4047811068159368,    -0.9664626366813474,   0.3071386625128724,    0.446186230405859,    1.6279142055678784,   -0.2587669507610962,  0.44044170955566375,   -0.4640624611486726,  0.26820980846817843,   -0.5266785576035872,   -2.0455760007206294,   0.20971837177565042,  -2.6988950215350345,    0.6034155825686895,    0.6851946388644476,  -1.2487053132879442,    -0.525954976789814, -0.22536645486874257,    -0.752049966388047,    -0.932618836225104,    0.9281224316911845,     1.2150710057286975,   -8.47838807958405e-2,    -0.9061833210761422,    -0.6738117950033746, -0.11367844257701872,    0.8827979484045779,    -0.5157077697068786,    1.0790494687676824,    0.5830973452874056,   1.1100299060321324,   -0.4702427267889541,     -1.363227431824915, -8.636848178938895e-2,     1.9388587465492777, -1.7893348141092866,  -1.8877559266353723,   -0.7374623148724941,  -0.3852893921708163,    0.5388043116764135,    0.45573534910219077,   -0.22242862875217934,   -0.5082266281531086,    0.6117178177726533,   -1.0198881264209174,    -1.143398148385784, -8.453816306270628e-2,  0.21271993833054903,   0.14057273399844047,     -1.053416070400715,   -0.3911085253808713,    -0.5147480000269121, -8.079566306355737e-2,     1.1819508083064132,   -1.9252989488512253,   -0.8470689653256311,   0.6063554486519023,    0.11634659823535057,  0.11452735584145658,  0.24034120443744691,    0.6178201821298339,   0.8894900205971848,     0.2075297997325114,    -1.68830152816385,    0.4312685117886074,    -2.220988012345961,  -1.6473331428751439,   0.48397514725869484,  -1.2781803814208066,   0.16712428611076016,  -0.1105361816930991,   3.222412584620809e-2,   -0.6576861875961093,   -0.2640741036757481,   -2.0050232916672415,  -1.2125763187889145,      1.308771177207432,    -1.936850791087517,   -0.7600950899462409,    0.8679490203483247,    -1.8368607334965452,  -0.7600833752441264,    0.14892130767765438,  -2.1741067151505336,    1.0104782952258062,  -0.49893484671428884,    -1.0780524637109739,  8.873842473102954e-2,     -1.398729095903442,    1.3549792195122736,   0.5277143423738394,  -0.40872209687254824,     1.019605806437942,  -0.9683508216324137,    -0.612999298899774,   -0.4903333198155082,  -0.3936350068509235,    0.6235225235332088,   -1.6331485300923596,     -1.91280374978181,    -0.9721418724790813,   -1.4446757266657906,    0.9695725932517466,  -1.5505771079520827,    -1.0940449216478056,    -0.3118869227796014,   -2.2040599347095795,  -0.9800307005244389,   -0.3067077642287264,    -1.6548535176536876,  -0.24691469473646016,     0.5585634147745521,   -1.0422023624353542,      0.887852270362618,    0.6825536668066147,     1.2650160030528756,   -0.960906240954499,    1.2073773372393222,   0.20835244077413712,   -0.5569042860715383,      0.266110334734476,  -1.9512872329190756,     -1.54352948135334,      -2.31669240169043,  -1.5128274655168477,  -0.7412313477097636,   0.12266798384730375,   -1.1043310351635975,     0.1119763294439765,   -1.7119582009816168,     0.6014224241087498,  0.45798117421050444,  -0.12801997359438047,    0.6127337501795506,    -1.630322106378338,    -0.3823217589946831,    -1.4333059582555963,    -0.6799575026298313,    -1.632044617399386,   -0.34585198544408785,  -0.38569169967334344,    0.9416657404712423,    0.6241708624874234,    1.0666848219175862,     2.0618463266552722,     2.334414696762724,    1.9170225755280383,    0.9372385197258878, -0.10287872653960425,   -2.0864592899183836,    -0.5302730914287643,   -2.0643713752056296,  -0.37234684174841337,     0.583752208029332,   -1.3506232200629864,    -0.7577619330911359,     0.926189149870743,  -0.7531291672624582,  0.22101246005468436,   -0.8263612809409384, 5.576497326048396e-2,    0.7080931001729774, -0.37581300124020917,    1.8443220066600212, -9.203057959108452e-2,   -0.39276757929087097,  -1.0855763544515338,    -0.4692446092621671,   -0.3621743962971128,    0.2821162608957258,    0.8564722370154199, 4.8083711293098234e-2,  -0.3511236945018289,  1.2049737921754333,   2.5396870317949634,    0.5890158828406541,   -1.1360640169583491,    -2.3212648147054384,   -1.3086735857561174,    -1.4584089604756791,   -1.6119735803190185,     1.0016933896923461,    -0.4922820422445953,     0.7121192273839452,     1.179676084771293,     0.9602579051713043,   -0.5171241562738111,   -0.5605897054078485,    -0.561800753030037,    2.7941152448472693,  -1.4388113850675388,  -1.0549487100019785,   -1.1720150494487398,  -0.5353989783285804,   -1.994694366865232,   0.5768856866693917, -4.862675668033303e-3,      1.419807952617306,   -0.8016967717003073,    1.9331106371718534,  -8.127958194199206e-2,   0.42067835165510237,    1.6793016652015096,   -0.13211406378620288,    1.446967110529108,     -2.7297981475665,   -0.911037394636934,   0.6902704659211556,   -0.6252051648520383,   -2.0752903891748535,   0.34510484099767913,   -0.9089655587571664,    0.847311618380809,    -1.8883176320755768,   -0.4755265473669032,     0.4515771324429108, -0.19626951051629146,  -1.1446189381536764,   -0.4002018384352969,     0.4699440150594055,   -0.44643311908886546,   1.2454686530260994,   -0.3690134747050487,   -0.5276567099332322,    -2.414496486854031,     -1.508347330746143,     -1.904590993783065,    0.5572275095083163,   1.0663113215093334,    0.9345983022846833,     0.7140736845077266,     0.5818964521884245,   -0.2774034031163756,   -2.3059864095383507,    -0.6864121939375297,    1.2222474597835107,    -0.8793475759170641,   0.46180816519479806,  0.13882386298319807,  -0.3719421193508542,   0.8035872570759142,    0.6063196844326906, -4.544502893043492e-2, -1.1685319503601204,    0.8532076831390292,    0.16777922686936755,   -0.8758770571186945,    0.10480453638209282,   0.11940811990135544,   -2.126770149175941,     1.0613455522144988,  -8.696026204912886e-2,   -1.893803332628528,   -0.34428159558487936,   -0.7347967248473273,    -0.8116556017105413,     -1.485278166234053, 7.695071052487609e-2,     0.5167079315771103,    0.3260657648674747,   -3.97177735196363e-2,  -1.3182721561552662,  -2.4333873308757985,    1.3736002857089216,    -2.045710078502419,   0.7025472356883212,    0.9539591378431538,   -0.5035566863843817,   -9.11533367929323e-2,    -1.8824641455223758,   -0.8810585332510135,    -1.236113693679955,   -0.4232168961649382,   -1.7605983064527235,     1.0796948274803126,   -1.7114419970109735,    0.46897735229473686,   -1.5651356132226402,  -0.8430238521500862,  -0.29665739957201004, -0.22165887682112698,    0.9119663682364691,    0.3090792242275524,    -0.9447596049402386,  -0.8398802635545247,    0.9002424486692415,   0.3621134873462875,   0.22934369216534756,    -0.6860571941031312,   -1.4583536517541487,    0.5264335943796897,  -1.2796133187467944,     1.939801990680472,  -0.17198674450856724,    1.085423355777169,  -1.481349441500832e-2,   -0.17723397480665215,     0.6831790247420648,   -1.140393855472121,    -0.828288010322738,   0.8515631593156031,     -1.153672157355598,    0.12698698579411188,  -1.5605621343805265,   -0.8284993546769407,   0.7876987754616096, -0.21175491767630888,   -0.3298658665982875,  -1.0037986729963175,    0.11455299930820187,    -1.258756531585065, -0.19004291711662188,   0.5879722432690994,    0.3917949569624079,  7.284446637961511e-2,   -1.4906361909118122,    -1.740535080782121,    -2.263627943288544,  2.3751001794126297e-2,    -1.112691469911581,    0.8525176078230184,    -0.7953304071707679,  -1.0809459061991002,    1.3984944816136342,   2.3540727719051864,    0.5151714397513796,   -1.3142119184583332,      0.414050739934209,    0.3674978486206538,   -0.7690632636412448,    -1.239275276846157,   -0.8510249439248434,  -1.3513227735408568,    0.909931507076117,   1.3776753442646223,    0.3117150609575436,    -1.296820372791141,     1.2933335695984962,   0.14320132069518993,  0.47079565740694373,   -0.5435616474177402,   0.5345776458797928,    1.3011987449415885, -2.3142309650045063e-2,    0.2025709289261596,   -1.0502001306622033,     0.6745028051384699,   -4.83172743431225e-2,    0.734957103835106, 1.4869759910260846e-2,    0.2246400027968692,      1.305194017908076,    1.8857139947052042,    -2.280326791282933,   -0.9561463242864467,     1.0824306297443325,   -1.8789274108247895, -6.940185552762311e-2,    0.7979843511839934,     0.309888238453472,    1.0709594326041265,  -0.6991759818254971,   -0.2981082516454401,    0.8123170896961314,     1.219622746131699, 1.116205137400202e-2,   -2.100775597558105,  0.48405047616196245,     1.201190270349422,    3.3374103004111353, -9.684433314630837e-2,   -1.7217273405172484,   -1.3635194301788314,   -1.7775798285629238,   -0.3972629899424158,     1.2805936046217297,    -0.2204292801944456,   1.5504181169024414,   0.4714313527538573,   5.108081784065607e-2, -2.380088792243475e-2,     0.9144890743785166,    0.5538109609029553,   0.9847101902099762,  -1.2517031685145894,   0.8997712536794609,   -1.3306915637606744,     0.4041291314304961,     1.467753088928153,    0.1942347373193303,   -0.6844237055392621,   -1.1334565963651329,  2.259155855920316e-3,  2.6483545421507385e-2,     0.6250683501524699,   -0.9072144758161316,    0.7433349610974127,    1.393556328864481, -0.8027591775286788, -2.1668395254702415e-2, 1.5234859344501996e-2,    -0.6819765385267793, -3.0582452268312188e-2,    -0.7543060008605316,     -0.715169411314621,   -0.9221027578312636,   1.1092327639756479,      1.024846907554498,   -0.5731488231956128,    -0.6601680984976679,   -0.7568153645151213,  -0.22531312234931403,     0.784740167873425,    1.9048369201194832,    3.2212866946202605,    0.3527350625920756,   -0.18387609226605117,   -1.2390030050731524,  -0.7541490251894635,    -1.1788399604946262,    -0.306616440701616,  -1.2260712441278767,   -0.45271614998310267,   0.1081717966294517,   -0.7058166405956167,    0.8940207785816684,    0.3752606239508125,   -0.3836815147541827,   -0.3801967432969317,     1.2199129872184844,    0.9437675923637333,   -0.5045853470443751,    1.5678588554389268,     1.023445235304171,    0.5933449903125135,  -0.4867152258347329,   -8.13121086879078e-2,   -0.9588693368755048,     1.1774917064346977,    0.3222813184500218,  -0.45493442609690904, -4.518112168541553e-2,    0.7829355946742909,     1.3731146984896283,    -2.2133065714965405,      0.978183558614986,    0.5999447560571642,     0.5555474309710096,  -1.0498434084076296,    -0.3241191322144444,   -0.7261515057606476,   0.3531877054772309,  -1.7970163998125905,    0.6094303732078064,  0.24298747959694963,   -0.5737571737606895,     -1.986679264367048,  -0.6035175649227688,      0.827087890660007,  -1.6788339363659879, -6.067287546171561e-2,    0.8864855105572769,  -0.7586919264308952,     0.6019109497865116,  -1.1280792998932623,     2.303110442588694,  -1.0783767923441916,  -1.3700050267867248,  -0.8380059600199832,   0.6303236151563989,     1.7164983685671218,   -0.2762328997699317,   -0.6327270516719655,    1.0090591598917469,  0.33245760719477924,   -1.774747605947724,   -1.2654682943420212,    0.38294293038423133,   0.14154333944217048,    1.4487566631068576,   -0.8909958398034598, -7.817588350328816e-2,    -1.50339270262844,  -1.1988662300601503,    0.6307450755555186,  -0.31556129380294984,  -1.0365967975371362,  -0.7530567215891146,   -1.5485584179152219,    -0.9157490749794857,    1.9376396556845883,  6.822209453686202e-2,    0.5692331055151821,   -1.0551906900793213,  -2.77393218931087e-2,   -1.1968192718924977, 7.409514174815566e-4,    -0.3452519706652321,   0.7798630196089505,    -0.3238539486258415,     -0.88215669551241,   -0.7083847392261917, -1.129934140318531e-2,  -1.6884258945770114,  -1.4908740862664764,    0.9231902178978673,   -1.4024249523019165,  -0.6976155350194152,    -1.5681250507099238,   -0.6863382593595687,    0.1008796016804418,  -0.13225921127077042,     0.7640650453126175, -0.21553406211035345,   1.8680957333221506,   -0.6859830730063773,    0.9346402559297069,      1.561275572760798,   -1.1638738238363937,  -0.6393027538154704,   0.7294260743128235,   -1.4181124359161346,   -0.9439019489317209,   -1.3428809736919618,    0.7762994831016112,  -1.4064441010012116,     0.6081005483641743,  1.2795929614565125,     0.619952461218346,   -0.43790740914520454,     -1.272200847692875,   -0.7238868149465406,  -1.3857867378870181,    -2.067897159549075,   -1.2234207517460498,   -1.3060875435639205,   -0.9493334312844476,   -1.148094088293758,   -0.626749783977697,     -1.15414880894115,    -1.0175250782580116,     -0.812728639505761,     0.8683182470279232,    0.7066361765778763,    -0.1902196398041689,  -1.8161566613952256,     1.8919239953814635,   0.8079674715600897,    0.31890044747366764,   -0.5820663119732141,    -1.0679198216298187,   -0.2658715915020205,    5.28062076014716e-2,    0.7344502820896518,    -0.5368174374440535,   -1.4673508747424844,   0.21832047316129047,   0.21860083743277134,   -0.3187213794700121,    -0.2678109709391807,   0.41613799209255076,     -1.993858245445247,    -1.1330478122655776,   -1.8915283860893244,    -1.2184013433892655,    -0.8193946803704868,   -0.2208692418563098,   -1.6979311684448224,    -1.3394468699125524,    1.3464060875222783,    0.7725931234256673,   -0.8814614236462509,    0.16922199408067604,   -1.4437181217636261,  0.15005129517567586, -5.225842612115819e-2,    -0.12187335730803,   -1.3477540582304877,    0.316908044924305,    -0.7292181720794126,   -0.9351852634720371,    -0.2045867579731458,    -2.3329531986970453,    1.5809251644022697,    -0.9247058714082856,   -0.5465648450356574,  -0.3633491653972808,    -0.3104669313094241,     -0.562286026718215,    -1.97693600715344,  -0.9732024437169108,   -1.6673680255099752,   2.2026490015947173,    1.3138699471911652,   0.1707615866494606,  4.296853227096496e-3,   -0.5645773434406708,    0.5885458339415237,    1.3864289276751298,   -0.4183621618585947,   0.12688176754836333,   -1.6353168996270115,   -0.7255542033929057,   -0.3829267206248377, -1.416932290391549e-2,    3.2088981095601277,      1.307143904584709,     0.5632271240684864,  -0.49968382949817486, -1.5617785482190031e-2,    -1.0235030452643972,    3.7531050354017195, -5.149372914260259e-2,    -1.052307853182135,  -0.8805551795284021, 1.524843532428375e-2,     0.6693559322132975,   -0.9790966026177378, -0.44998941771348466,    -1.8888070051167172,       1.22811131288153,   -2.1378085489508236, -1.5816028846295734e-2,   -1.3091171549124336,     1.4935877081936435,    0.7858763152308257,   -0.2621802976335762,   -0.9055538506285814,  -0.21450191142247238,    0.4689962784266835,   1.1167103209216012,      1.229791596851201,  -0.18982471030256315,   -0.2538890247441566,  -0.7480960846313423,      1.411037552104683,   -0.6498067502172453,  -0.4083857095448341,  -1.4955288595757408,   -1.8084727935768306,     0.8764666278223396,   0.7907810876827317,     -1.823253665652687,   0.8114640944919548,   0.13563723115812362,    -0.5133122905086773,    -1.813895669027269,   -1.1524895373032573,  -0.6287160297442419,    1.0853950469197373,    -1.020123634249557,     1.314930312061798,   0.6200662989328134,   -1.3747458357748217,   -0.4697272611008982, -8.487773986380767e-2,    -0.6947068638421479,    0.6041829737469638,    -2.262750901399331,    0.6582431056496192,  -0.2045006619486361,    0.8365514860477119,    -0.5484257734046011]
+    ,[   -1.1944744566043797,    2.4025003346304747,    0.3197208584551661,    0.7261787912348174,   -0.5891259309447965,    -2.3150437194988083,    -1.109652256681416,    1.2634043630338785,    -0.8099440281540987,   -1.1894953521932736,    -0.730731011516392,     0.8228678325730422,    2.4370417017837807,   -1.4799412820356028,   -0.5693066887201388,  -0.35164239475700154,     0.275992178070724,   0.39525908408699945,   -1.2444276815394375,  -0.9771791344821008,    -1.3650758568857226,  0.16712032739881127,   -1.267901648660945,    0.8248269594046735,   8.606607018790108e-2,   0.8085873423082521,   -0.971724853654132,    -1.0915787255145277,     1.4011245311945209,    0.9600547373217336,   4.591832775662111e-2,    0.6010779285601849,  -0.17457476005477798,    -0.8268434230087858,   -2.4482735892408543,    1.0315361705458308,   -0.528974480933397,   -1.1215694454713299, -0.47157703541916596,  -1.5041775023439643,   -0.8741370393586761,   0.5734435045813308,     0.4603593481705303,  -1.4705394752089531,   0.28022599812975507,  -1.8456466794465651,    -0.887794004949791,   0.6931858721601317,    1.2775996559107285, -7.788376191225384e-2, -0.15270062263657172,    0.5534521262321502,   -0.15812028661313676,    0.7558534196318746,    0.9146100537517845,  -0.36185887871749245,    1.3730292239567352,    1.3808712088776556,    0.443287639549145,  -0.4736604916007485,   0.45970155698250115,    -1.383545937071946,    1.3870800273705073,    0.6526322863865216,  -0.43041787380820723,   -0.38163962443684657,    1.1633029755307238,  -0.32013723370796415,    0.9798274346224701, -7.519181070796577e-2,    1.6961207643439609,  -1.6461583484743365,  0.15771423227723813,   0.7183029459927621,   -0.7904675986945359,     0.5893947647688929,   -1.7257005165549761,    0.2575861608828649,    0.2342857616387534,   1.8195209978908973,   -1.0518269548715047,    -2.030383313976481,    -0.6975103236831929,    -0.2085690171692864,   0.40899814970456144,     1.750667664172628,    0.9007325882357058,   0.2425150216691264,   0.27421853157750575,   -1.121241404306467,   1.1087641188852815,  -1.4962478930219023,     0.7340467221360994,    0.8478618439320267,     0.1470083365632499,    1.9583019519258178,   -1.8226142259552562,    -1.2893542175885055,    -0.7655167328469527,   -0.6948755631931727,  -0.9208451507395627,   -0.17714893157222525,  -4.176889155913762e-2,     0.2948254841502226,   0.11726618368741445,   1.1181916328069335,     0.5198766499025683,    0.9088642353266894,     -0.543309255505506,     0.922172004315287,  -0.49986128508641275,    0.7624318337381516,   7.059356814580832e-2,   -1.851726365277808,   -1.2628133578070264,   -0.43141074021283377,    0.3412602217365757,    0.23835965588272315,      2.931596684347898,    0.7836431722372584,   -0.3033242848769596,  9.960419604161753e-2,    -1.3878983455476523,   1.1398657198854503,   0.6343775132809867,   -0.4859739535663059,   -1.1437440898461486,   0.5282696559731243,  -0.14534293814782345,  -1.4776464289155806,     -1.41420518574428,  9.195658770378552e-2,   -0.9964239193680379,   0.3268211474688533,     1.245790596234123,    -2.034430425237666,    2.039124433817567,   -0.2813946351212226,  -1.2420748915558295,    2.1659624318162587,   -0.7709496140624743,  -0.27674283121545734,    -1.8181831402177502,    -0.6141780521003486,    -1.3987636934062748,    -0.9785811135128216,  0.29911313035485915, -6.524673329231631e-2,       -1.1476487834323,     2.190207604603066,   -1.9977038678974903, -0.11149770501840535,       2.1372513406509,     0.2948324922793398,   -0.3339051224142308,    -0.9823216861382308,  0.7072048972797534,  -1.0832220053806865,   -0.2854109553420043,  0.30906214838524143,   -0.7258408937871322,     0.5379892534791249,    -1.8355412722501583,    0.8870102227514323,   -0.8362749972395898,     -0.54049453734597,    0.3486165955879513,    -0.367266632307308,  -0.3230875015005254,   -0.5504559559825615,   3.670455559716504e-2,   -0.8177100505227507,     1.3492029862429074,    0.9874180621936396,    -2.1454074017612195,   -0.6804411203486693,   -0.4096629233601595,  0.17446858954039224, -4.7342649435969344e-2,   0.1744783546196129, -0.16707551524535466,    1.4470352775345492,  -0.6633810709045456,    -1.1275485797635674,  -1.7423670567647798,    -2.105414116741956,    -1.158863777748894,  -0.6605067556190751,   -1.3965409651458682,  -1.1823921461269842,   0.18246569343804958,  -0.5096070037581363,  -7.822548153203956e-2,    1.1287115836329011,    0.6418400841244233, -7.178307623131767e-2,   0.4163903221114388,   8.756430666926206e-2,    -0.742116037699158,   -0.2198628183484456,   -0.4141900973383475,   -0.36172598685268537,   -1.815068106926646,     -0.534321857285103,  -0.7022482354445696, -5.543360241018642e-2,  -0.41246333413137265,     0.5089500313092233,   -0.9257940568339849,    0.45580204552880343,    0.9528972990726003,  0.17034090406403585,   -1.1107349906172932,   -0.5811784351375912,  -0.8947088326454726,   -0.7927995548658355,  4.629876621412905e-2,  -1.7267995749150502,   -2.2888608254815663,   -0.6743783721754628,    1.5193765169741509,   -0.33902610846882997,   0.33835825666749303,   -0.5301816701306674, -0.14451466425961643,   8.597675983479773e-2,     1.2248819389142651,   -2.0721342977992325,  -0.8722901475327357,   0.10817444472379337, -2.0398194956178967e-2,    1.0848400390241937,    0.45041490011686264, -1.719297721914332e-3,    -0.3447529660942024,  -0.16792639325794045,     1.9817185642236192,   1.8911028179951952,     1.806361212080859,   -0.2487233804011438,     0.361359982470092,    -0.6969148525395985,  -1.4690798771394051,   0.37719843676967074,     0.9174454740973798,   1.1148391936580402,  -0.2582683057656088,    0.8994077991393159,    1.2306794090000164,    -1.1780031640746573,    1.5048101707047263,    -1.5006306714203572,    -0.78875567637529,    1.7160098042901109,   -0.4338625233653602, -9.883033686912299e-2,     0.5769770652351844,    -0.8771867198179134,      0.762812806484071,    0.6912236997143836,    0.47311648812791185,    2.1847809719270934,  3.365924323662869e-2,  6.153064442441772e-2,    2.2592601215910575,    0.45676411319770693,     3.116815955566736,   0.48180118068096106,    -3.007670475755277,  -0.8941711987120181,   -0.5201763392933968,    -0.5331655852795871,   -0.9804436986722429,    0.4491934916152551,    1.0812066077131033,    0.9639581216378414,  2.9295009132566253e-2,    0.3218118816914468,   -0.631464591290098,   0.8400982073539714,    0.4401763522584232,  -0.2391919606278333, 2.4543772548633962e-3,  0.15351823217375124,  -0.12057308985320564,    0.5874614686178972,   7.831072067001857e-2,  -1.3083687450153336,     0.6534425636081336,   -0.3787776637899964,   -0.7970597149609128,    1.1269578242910896,    0.5995580407252202,   2.7159644278642827,  1.7747718651939068,   1.1705951833799872,    -1.691351208960393,    -3.014574984243416,   -0.39261218402824627,   -0.6866179872699647,     -0.983340398166005, -1.536063611604992e-2,   -0.19682288262003986,     0.3288597261631322,    -0.7963363096680754,  9.256273338100541e-3,     1.3783194416340374,   -0.4556072944893904,   -0.9428572727609528,  -0.28212348789776526,   0.39525861305294574, 8.526429122021664e-2,  0.16257090495539384,    1.0400824472811374,  -0.5931858692706875,    2.495422400978917,   0.4146920126042046,    2.4958848700311447,     0.6772312913178247,    1.5757427218742608,     2.125650526378155,      1.295350551920044,    1.3214063594409866,   -0.8186502490524377,      0.699335427258524,  -0.9850195122751442,   0.1454538692789532,    0.712713462496814,  0.35508255529281435,    0.9467585485455309,    1.2375130297416006,    0.9373500947472406,  -0.19115097458556973,   0.4199469772807726,     0.2594625176461974,   -2.0559043410778286,    -0.7344323544471448,   0.7806187500833146,  -0.6898143949442533,   -1.0374710807397365,    -0.3465850840104805,     1.6567575480606909,  0.28973833159344903,    1.6270446133698608,   0.16095319068289332,   -0.6008599948422323,     1.0394273282929967,      1.648869867668004,     1.872933931692963,   1.9557353189833317,    0.8514489710421623,    0.10189963230586305,     0.6158263141468153,   0.24922837231450554,   -1.8814413499074185,     0.7722049479080221,   -0.6138207694459669,   -0.38105704751815833,  7.536734350995115e-2,  -0.2791261895421345,   1.0249966516529148,  0.16308262991960093,  -0.31779138915941046, -3.774424832716835e-2,  0.4209352370337205,  -0.24548005861641897,    -0.6764167890114682,   -0.6853104964990471,    -1.5023051805943666,    3.5303682948327033,   0.9930115682063501,     1.3714472692521467,    -0.5300428033239458,   1.0606098732070757,     0.7281492922528988,     2.104299630105548,     1.4556984019763104,      1.059891703683226,   1.8015982574159144,     1.9728588166663645,   0.10000486064643159,    0.40577149901384413,  -0.8675055847155954,   0.5247307962906884,   -0.5565871583787061,  -0.33589896114789963,   1.6092230958187168,    0.8387125579323857, -6.623133535151787e-2,     1.6750010694012862,    -1.0309811231528805, -7.797849039011047e-2,    1.5293086097892705,   -0.6577558681537149,    -0.658059674401641,    -0.8168922461660908,    0.2199129895765081,    0.39555668887640955,    0.9997059899192582, 3.395022777715089e-2,     1.077968563788838,    1.360471465271767,     1.428493858206582,    1.2442296081684037,     1.2127271963082176,  -0.1145611689674618,    1.6160886832627832,     1.52104319413873,    0.9537107470989915,     0.5124143009277584,     1.508860997594665,    1.1582247575483529,   0.5231156705406601,     0.645621951081816,    0.4037204235673222,   0.7758519799749639,    0.18151448170758025,   -0.19130452514149565,   -0.28292690050115665,    0.679768495817285, -3.110799780323335e-2,  -0.9843932040897827,     1.7287240553591394,    0.25643912145651776,  -1.9551802833475824,   -0.7965584702414225,   0.7391129582304174,   0.7286423729669916,     1.208734662509006,  0.34695875378302155,   -0.49542581067555597,     2.106275973612103,   -0.557855063132423,    1.438713498811033,    1.8234586768709828,    1.0376946280469361,     1.331184504005835,   -1.0452663442934564,  -0.22546255024017903,    -0.9813042315501225,     -1.39669661608289,   -0.1315960284716905,     -0.676908069592402,    0.380911498762848,    1.0967525732849177, -0.14935262946156508,   -0.5883428947206897,  -0.17307326401610942,   -0.26679868331911294,    1.4767395671817232,    0.2740975992944022,  -0.12088337213719046,   -1.8471154851504505,  -0.4144825015250847, -0.43793747449553355,   0.9191275408881275,   -0.5312469757356442,     0.587995199407681,      1.924166169514926,     2.672380905445149,  0.14402381113377638,   -0.5341988694116321,   1.9822827969108554, -7.520173389189329e-2,     1.1097615418909264,    1.3844448637968207,    2.0812399376048725,    -1.2017530271645045,     0.8522447767626499,   0.6897327698692222,   -0.8095802191958038,    1.2170100523331129,     0.7700974020794175,   -0.6558882452394977,  -0.20924960831255315,    0.6425656473777982,    0.34378880498623654,   0.35087736149011184,     1.360894914230675,    -1.745496817244983,   -0.7948504565941411,  -0.41293026858589565,   0.6914358890992823,    0.8098916998919998,    1.2162251784461882,   -0.5571097793525925,  -1.5935563311676895,    0.597516062355172,  0.22898747355392746,    0.1605323999717821,  -0.16474644171683617,    1.2145429720980692,    0.7948252892308002,  6.757735609645982e-2,  -9.93379986632536e-2,    1.1364775549423174,     0.5908620899370205,      0.654864107110817,   0.9924446199321191,   0.5586996913144135,     1.3185516244847306,    1.0002403378863534,    -0.5025933551925298,  -0.37428364779535267,   0.3928833443048193,   1.2864081983001165,   0.9649517406133006,    -0.368786521743739,    -1.0055046838315755,   -1.2231160501545069,    -2.646097412902953,   -1.8318309105906576,   -0.5250845736642606,   0.16261918379901574,    -0.4821744141472696,     0.6614571977334981,    -1.937212130800532,    0.6359061919629033,  0.20069314142559247,   1.247860002405717,     1.7459894434379377,  -0.22182487672005502,    -0.8322869752103402,   4.869325104772011e-3,  -7.238123356146325e-2,    -0.9579865955717686,     1.294862146751177,   -1.423834130682766,    -0.4865205935375945,   0.18452426859861948,    -0.6701254647273344,   -1.1021824384157206,    -0.573497047899803,   -1.0382995810277058,    0.9159267363205683,    0.9824357628619894,  -0.47759122690798916,     -2.101930803492887, -6.776423960539302e-2,  -1.5296833156276373,    -1.1582487992104868,   -2.7692475377752492, -0.29388637653371935,    -2.6027618531197367,  -0.8368027818299154,   0.17386204361481986,    0.7839807516326416,     1.792615935091532,   -0.8318220224056802,  -0.42867452090044017, -2.4840628873888126e-3,    0.4170826239753764,    0.9952686202996655,   -0.3179721788754262,   -0.4652296317154326,     0.759732667224658,  -2.1220646504479825,    -0.2465338696676914,     1.320130870414775,     1.1485487666487746,    1.3530582029534455,    -1.162724578269385,   -0.8381008555747836,   -1.6772221203640625,    -0.7203824285613135,    0.11618821752337112,    -3.3908977512646445,   -0.5621026299960625,    -0.7248726415045214,  -2.9520985455668547,    -1.0280545390130982,    -2.246647651914211,  -0.5612630329756915,  -0.7636832156185017,    1.1547669955071662,   0.6586514687012811,  -0.23830677676654216,    -1.4849614826655881,    1.135754375483925,      0.377030440878287,  -0.3256877539726117,     1.011652822389177, -6.681881028482607e-2,  -1.8993999881356531,    -1.0980964271232694,  -1.4162139041841133,    0.7144206007517677,  -1.3985968608933206, -0.41099169720922085,  -0.7804462565297001,  -0.8022319472228003,     0.4801387278928642,     0.584415608163078,   -1.2460845060289338,   -0.4762117558335788,  -1.4246784612799952,  -1.6969635704713861,   0.28385607320518236,    -1.9200780831845634,   -0.4378175495167979,   -1.0680381576441547,    0.9237733037233318,    0.2674225330045892,  -0.8334691740786274,   0.6747289094638135,    -0.810691491624739,   -0.8387701976884282,  -1.3995685840559315,   0.5085735102920982,   -1.4309673019503883,    -1.6172252903817668,   -1.1990040159319857,    2.5944509573247148,     1.870255597441552,  -0.13397135576324334,    1.7937820822185857,  -0.39287906064547945,   -0.582815629731086,   -0.24069580614735153,  -1.2833190422549952,    -0.5166144106252952, -4.544044277103477e-3,    0.6690176009896153,  -0.45763081374077014,  -0.9724702927494431,  -0.9866026459171325,   0.10547389004495271,    0.8451767458253308,  -0.8559714712337895,    -0.5151540433923408,    1.0318919056316636,  -0.39017491589215886,   -0.7619465280636329,     1.3933955759913235,    -0.87422812023451,  -0.3975315366686184,  5.001697742107612e-2,   -1.5041206981979267,     0.6147133959160976,    0.4087308333498224,  -0.3098648273480454,  -1.4031152417168944,   -0.7626885690892908,    1.3416936091300486,  -0.31315723590053135,    -0.713447770700969,    0.782592419564275,     0.5614842785044007, 0.12212323396919096,   -1.6213424429188548,    -0.5340929738356557,     1.8219478310107489,  -0.35071937246334994,   1.8909194409333112,    0.8228422988362851,    1.1361866965345537,   -0.3840250496823313,   0.19299219981286592,   1.5622364800776163,  0.34102488168930384,    0.8395050569563164,    -0.3681098676442879,     -2.283721223532531,   -0.29938571044907275,  9.250830648973406e-2,    -0.6741807915408621,     1.20497401954485,     0.6315832203706839,   1.4304877381402237,   -0.12644151603548315,    0.6060293741340577,     1.6175204712130529,   0.16153465363680047,    0.15233624303536997,     1.623504800851917,   -0.40537708283682017,   -1.2850193978382858,   -0.5725038317639779,    0.7423845065167302,    0.8235898069191001,    0.31140675676554314,   0.20803109129572037,   -0.37703731998087725,      1.662897033502933,    0.3386299924395105,     -0.530375236155552,    -1.2329124992413436,    -0.478756349347777,    0.6760113263116563, -1.0450045267849326e-2,   0.39127912875753756,    0.5524927306797478,    0.5184832184905384,    -0.7082506529857806,    -1.298027770175136,   1.2967898228251922,    -1.448735459915222,   -1.063688680740429,  -0.18699752036672396,  -1.0289177119675812,    -1.4062889996922814,  -0.10918388048302428,     0.7465024024236788,   -0.18504162758326143,   -0.4148080287486557,     -1.203490227599227,   0.21953445452714473,   1.4257273269735256,     1.5428772228342031,     0.2255358502523725,   0.6094830362227717,  0.34958378793886474,    -0.421543648758564,  0.12744982605746863,    0.7177507046068288,   0.5367425585454328,   -1.6066602572014967,    0.6635447141744358,   -0.1898605095548036,  -0.42341695511315197,    1.2413027661749365,    -0.710456563829275,    1.5328345604320797,     0.613540636828859,   -1.9694350603559605,    -0.350960824983049,   -0.4772940642591477,     0.7787673857138675,    -0.2326242297507598,   -0.5186146376058984,    -1.5341469671483887,   -0.11944711160931787, 3.5435773491880394e-2,   -0.2822113185361995,     1.149301509781865,   -0.605640069876862,  0.13981676700267015,   -0.24444526626499335,   0.11936826922768676, 6.365874442662602e-2,     0.6724208645198347,     -0.858210846444036,    1.3803515743136128,   -2.13639008304443e-2,   0.20940138126990296,    0.42639167857377724,   0.48081064016363767,   -1.9073166196014535,    0.4225437091377176,    1.6413329137832695,   -1.3360640750583492,    0.667728925583977,     1.1843158782236878,   0.21902771292062573,   -1.6204205321982361,   -1.662740835599992,    -1.2142850296047094,    0.5576296954405375,     1.47577391889564,  -0.2827914751327827,   -1.2439159098686008,     0.2672640831275811,   0.8394468517469491,     1.3161816143906109,    1.486809523262083,   -1.2115271806238708,     0.7250599937468009, -5.755885052192512e-2,    1.1547495822182208,  6.62960290586133e-2,   -1.3356435273733256,   -2.0149199253229977,  3.854179004886526e-2,   0.1499911538037146,    0.8759767414977648,     1.343826326944458,    -0.783397881870499,    -0.3770306692010638,   -1.5961053622919994,    -2.752408460515815,   -0.5504027610946294,   2.0676244656024494,    0.7414006882619234,     1.7891412426938045]
+    ,[    0.2611055604846858,    0.5504487444275625,  -0.18268872537102482,    -1.060587692491605,    -0.922889929460672,    -1.1332765389233055,    -1.063859990747776,  -0.13155130487005195,    -0.7393535106642187,     1.267498602068689,    -1.533064905349383,     2.5595452775621417,   -0.5476895270901102,   0.13205108432294263,    0.6232104022277729,    0.4003469392511894,     1.161265487489191,   -1.5899746104109427,   -1.7891567812520144,    0.752493923643693,     0.5021155708331929, -0.24169964064409072,  -1.4999627456740496, 1.8871034970697836e-3,     0.8163608947296603,  0.32260692022382076,   0.5171934784453904,    -1.1861268201838602,    0.12857516155395116,  7.854304708742335e-2,     0.8865701210618107,   -1.2960792892574144, 2.3981679962908602e-2,    -0.8761995208712494,    1.0940804417185093,   -1.4249856535580616,    2.684333857121381, 2.7838830322303488e-2,   0.7019454266522024, -0.43411150621619876,  -0.39013578550520955,   0.7143394638791252,    -0.1181290885337053,     2.66951753891936,   -1.5582551167193863,   -1.780672545144431,    0.4197635831119214, -0.25099946023875996,   -0.2136774652809391,   -0.8043615105146589,   0.9248792712423349,   -0.9304202046618794,     1.2997796229923586,     -0.71925122143903,  -0.37948554578233507,    1.9887728822438717,   0.46113955390621303,   0.13324563192462116,  -0.6885768286478569,  -0.6368279626765359,   0.37065663042786434,    1.0912308467353056,    0.2312507003984805,   -1.3548498521195296,    -1.596587188835554,     1.1331170622280062,  -0.32059043683231425,    -1.063717076637153,    1.1830869846636078,     0.716485977340065, -2.216838097166231e-2,  0.15349432256306988,  -1.2158543936434312,   0.1387954661865985,    0.6324966783837264,    -0.1675822002098499,    0.6926964926375485,   -0.7439869751175197,   -1.3529240193372702, -0.39698970588508165, -4.798113334088385e-2,    0.3194858812567924,    0.21179175514014403,      0.300779541510417,    0.2902970217277553,    0.7321323567880903,  -0.10350532254863226, 3.257658303943523e-2,   0.16024415844047263,   -1.534609804301824,   0.1948799411088003, -0.19379648051441675,    -0.6966508008109127,   -0.1658577144907263,    -1.6762080407255582,   -0.9877405504291747,   0.35611526742550625,     1.1648513961289755,    -1.2115802504509567,    1.9503587061966006,  -0.5162434041904802,     1.3114967779051372,     0.9343187252952033,     1.0122298307886022,   -0.9090647066415487,   0.7047642484025097,  -2.308996649410865e-3,      2.40632493346847,     1.1648995288638755, 2.3471047389982656e-2,   -1.4334398974052882,   -0.5749423529620914,     0.2194727997991057,  -0.4075480845769366,    0.2116302336898973,     1.4540459484486754,  -0.12617399895141276,     0.8422191978516256,    -1.6548206613444898,   -0.5282902157463879,  -0.19405426435528797,     0.540165556562359,    -2.8994394634349367,   0.4178713410853967,   1.0757972088218777,   -1.2881107807429808,    0.4557714648988526,   -2.006670187344636,   -0.7355596454951601,    1.480392726573798,   -1.4459480132490599,    -0.382294634764834,   -0.8916981747705145,  -0.6147616025322732,  8.288633331832612e-2,     1.486974382150716,  -0.8144726083698351,   -1.2240811936974931, 9.816343567575582e-2,  -0.27610945408198234,   -0.7110990308682966,   -1.1562472215175597,     0.4499873582690882,    0.33733249600375265,    -1.0992734799663755,     0.4632816652735273,   0.6319656443397745,  -0.36317160341556876,    -0.5318105735051114,    -2.045903596300352,   -2.1194522625337893,  -1.1922579448309965,  -0.10918167695375622,       0.51370647867622,   -0.3765668660275592,    -1.1479168023010253, -0.7262845354446903,   0.3215577760270884,    -0.661285996715356,   0.9561097777653395,    1.7470872015895862,     0.7545167961922952,     0.6298848051444195,    0.5169179161345335,    0.5768414971585084,   -0.4613907675081202,    0.8265613946972908,     0.319190429930156,    1.092290515493768,     0.383731169859342,    0.16012615436392924, -5.808179054039371e-2,     0.4401393461236815,    0.2521178251580215,    -0.7501397996767407,   -2.5123242611890872,   -1.8635135423862719,  -1.5426579786667376,     0.6110844400650269,    0.647441906241487, -0.16970352812372475,    0.6525509053860505,   1.5829200084563464,    0.36599181397939834,  -1.0366440536375332,   -1.3328189062371623,   -0.5113064598558638,  -1.1572925363196978,   -1.2288034205439844,  0.43296864172551275,   -0.8041812465112596,   0.9387257710048842,    -0.4723786688092742,  -0.17657234366772892,   -0.5150431651665373,    0.9043946331228029, -0.32907718763508975,     0.2423310516819659,    0.1252817248675206,   -0.4682136515431057,    0.9715221171765891,     -2.222382293652188,   0.7124442330723042, -1.0200775338663365e-2,  -2.2312949029537426,   -1.8009328553742454, -5.315140752945891e-2,     0.9330967924857356,    0.9424923136846323,     0.5330051273762288,    0.9004731202908852,  -1.5063786598744335,   0.39158880411693703,   -2.0645315046259705,  -0.2930046269791897,   0.48047094486089165,   -0.8617224150881432, -0.12155287049180429,    0.6777033001272124,   0.12958136682149826,    2.0085465605155575,     0.2942716616099374,    0.2619231190742391,    0.2756973340448947,  -0.5326332314142201,     0.8390757156807787,     1.0207346906231403,  4.041739227876642e-2,  -2.1995844779083518,    0.5004234674444311,    -1.9025781671928972,   -0.8000150204757158,   -3.67927955619201e-2,   0.36035432838821774,   -0.20853597078430475,    1.7996742953751812,   -0.12362803932156051,   0.2982929113003074,   -1.3026456218670517,    0.4144985860154373,    0.8445591425155016,    -0.2178875928184713,  -0.1514756120214187,   -0.3197994729151178,     1.3954057697509428,   1.5165876611186098,   2.0432228063780564,    0.6030891340332127,    0.9714217016444568,     0.9570484071231466,   -1.8738699659646398,   -0.12019938350427237,   0.7884859227382174,   -0.8069297718288015,    1.2088628626205835,   0.26594136935356577,    -1.7309653868801944,     -1.226869722478303,    -1.1894746070260442,   -0.9856285670123967,     -2.111202909134975,     0.546795552079995,    0.5956769063033291,   0.11377160398728689,    0.2919353114335924,   8.675611394604772e-2,    1.3541739155768036,  -0.10294887985311812,   -1.5967110390752417,   2.2126026103673713, 3.0532997124782042e-3,    -2.0175452989405436,   -1.1763813005071342,    -2.082051434939494,    -2.029942376964872,      3.27277408926238,     1.7028136194954244,  -0.49036309663939914,   1.6815701801497729,   0.3361538197515979,    0.6153138540820158,  0.45906399381037133,   0.41400388069858984,  -0.6390328107370972,   -2.7777756662350015,    -1.034005905946476,   -0.23158328605867742,   -1.685062229660138,      1.970652107799166,    -0.904133211278162,    1.0227441622561608,   0.20014532726051856,   -0.6743443423872423,  0.14176159473225872, -0.2497428947355118, -0.41595731906707967,   -0.5286469094633222,   -0.6323595689702884,     -0.717287138066863,   0.10033480094766323,     0.5998898200578485,  -0.19684036872078334, -5.0859233567284355e-2,     0.1923480371002277,     0.9627291421126019,    0.9938824048670891,    -1.3723293825128955, 1.1516326441469684e-2, -8.316272227113031e-2, -4.843829958140876e-2,   -2.1875757009799432,   -2.137518576807186,    1.770032893758577,  -0.49997675843239336,  -0.8660309589099626,   1.6852629764505493,    1.115398889564465,    0.6904202992391854,     0.4663951801622836,    0.6754064297948206,   -1.3487817814432885,     0.4104932490474293,   -0.2639960330084472,    -0.836659920445226,    -0.8205205446181536,     -0.4536835103137,   0.5043471585645315,  -0.5415597501716106,    1.408950132164841,    0.6750261448755221,   -0.5620880573339712,    1.6229756917085245,  -0.17688241742535493, -0.18272298294312364,    -0.8259469043064427,    0.1721736368103667,    -0.8015163385741839,  -0.5816736034699393,   0.8905198332422517, -9.979630731911676e-2,    -0.5279953239752634,     1.3218447106927111,   0.9482550911470335,   -0.5885985170150048,    0.3645669737441703,    0.7576097579160814,     0.5767039968326848, -4.4331105329338164e-2,    1.0746383830531097,   -0.562944948935414,    -0.595398178534592,     -0.619033964879969,    -1.6362444535865035,   -0.4695090974308433,    0.9301964038403722,    -0.7047674549990536,    0.8929238137699609,       1.79349222008849,    0.3389820724477664,  -1.6753079609187045,  0.47002381265876714,  0.14736374564017346,  -0.24614541975500626,    1.3063741338821349, -0.7970514315139069,      0.56282448059659,      1.290197111937466,     1.343587225600026,     0.5607593183801699,    0.9424642431866654,  -0.4565396751969305,      2.314464523640511,     1.2244660280869961,    1.334342022973478,     1.6868079891301113,    1.0876545034186555,      2.548642243041979,    -1.3774930353407344,  -0.3279432860068123,   -0.13243450406617094,    -1.720431917422156,   -0.22789297102145253,  -1.1399651740389063,   2.5631972425285863,    0.8691036099235566,    0.4818080869394675,   1.0209828954702762,    -1.466118601034491,   0.23099234630367424,       1.06512070025254,   -7.13846258513571e-2,   0.29951711986227086,    0.7635208030011243,    1.8125924868193575,    1.6660354446301053,    -1.4829880138775673,   0.23597634175041637,    -0.8726823355486306,     2.079660896892257,   0.6003317154139929,  -0.14464068141229836,   1.1504340009284368,    0.3489637609474562,    0.5104515141329945,   6.377203381333924e-2,  -0.3879827132002586,    -2.471244331965126,  -0.7772713547261292,    -1.057647891278595,     0.5581307382778071,    0.6613402901281563,  -0.19931021139584432, -0.45187109104705714,  -0.14878460253129508,    1.5048077571669318,   0.1324276556813958,    -1.2451345307433053,    0.33916072179997103,     -0.984368196736982,    1.243799772353689,   -0.1600102772656387,   0.3891929489650138,   -0.11161702439852142, -1.6329978358619556e-2,   -1.056083685398096,  -0.12594794960524336,   0.9231062166145823,  -1.3649544065074628,    1.5089713507882454,   1.5391528501457175,     1.0988397890164425,    1.5253177721071667,  -1.1487891534439292,   0.1039235714820458,    -2.118880662347955,   -1.0148288761727977,    -2.251071674186721,   -0.1113868658319013,     0.105525692401461,    -1.1437716682735215,    0.4934887232009296,   -0.2529440283948383,   9.790948920599934e-2,   0.5205021454982267,   -0.4308202069308519, -0.12001510901885787,    0.2109886750742956,  8.526587349513773e-2,    0.26635342957101105,   -0.2894672553051872, -9.273834651056755e-3,   -1.2512583307023688,   -0.5920362637154218,  -0.9652380803786866,   0.2921209593891568,     -0.6020659269137,  -0.22894205986534016,   -0.7302162729446862,    -0.2507772411634594,    0.6531825404762689,   0.6423663880189716,   -0.7314682736665655,  -1.3367784318407665,    -2.423188336681002,     0.9692486811357766,    0.4899042971551928,    1.2617590633457636,     0.5399737344830778, -5.7502609225119766e-2, -0.12623531274899252,   -0.3186969236980496,  3.716999331940814e-2,    -0.6479381515454395,   -0.4348883079639164,   -0.7027147185706397,  4.195774485647943e-3,  2.7778340743084246e-2,    -0.910026181892721,   -1.4807958691751892, -6.785681454302138e-2,   -0.8159676498132009,   -1.0267562452973247,   0.8452237834963747,   -0.8487142245331715,    1.5162317531875904,   0.24457171717214304,  -0.3952175248395791,   1.7406678518871186,   0.7740321890486942,   -0.9654893150153129,    -3.442058185967526,    -2.639771232484124,   -0.7954587920253623,    0.5502171679674734,   -0.7005705771204492,   -0.4138558596009759,      1.543795338667904, -3.2652023160234925e-2,  -1.2417514689128966,  -0.5622659696532811,     1.5774566829613461,    0.7345708488115145,    -0.7648098678117901,     1.028433490407022,  -0.5602675588766209, -0.15703308664517723,   0.5750257496628662,  -0.37714246541274987,      0.603195440844668,    1.7786947133661108,    0.9106042723960016,   -1.4014797731961344,   -1.1473297419904607, -2.918280510797922e-2,    -0.7397307455372976,  -6.870492604211882e-2,    0.9658552708364565,    -1.231657337754603,   -1.470890982461132,  0.8244393226599683,     2.2069669480814045,    1.1303370055379152,     0.6577617864905796,     1.3164604993080002,    -0.3608081720695941,    -0.5300618556137618,   -0.8613270175277226,  -1.1261018653792592,    0.12627419194206685,   -0.6928752109990993,   -0.23208813681469553,    1.2875377611560521,   -0.5257759857019593,    -1.750882390484549,    -1.534200888984519,   -1.4808204661797941,    -1.118721525289024,    -0.7681903825279869,   -0.9837925480571813,  0.30367178214248436,     1.6063408423873253,   -0.7697559553260062,    0.779035745797243,    0.48557931887151823,   0.9407637607980157,   -0.9312884480612947,    0.6001823403564949,   -0.8658540740590771,     0.902656359013931,   -0.5501107803263052,   -0.20376001583161477,    0.3302028047777615,   -1.3315285908191776,   -1.3455542548468307,    0.2978911477136286,   -2.2687020405303935,  -1.3379149250919506,    -0.2630078352460829,   -0.4637326119199829,  4.8282214082257364e-2,    1.3943727199184954,   -0.6335743258215739,   0.19432733209416247,   -0.7568154087261532,     -1.544202419098628,     -2.014198337236566,    -0.7406155805427854,    -2.335169720112495,    -0.9550929333493741,   1.4416464026930726,    -0.3821283117187722,    -1.678855815326271,   0.6655470262168224,  -1.1395668713840499,  -0.42002310137822807,  -0.2744778731324527,    0.4645073962139864,  -5.891272989558577e-2,  -0.2560598019512249, -3.2978438984669026e-2,  -0.9300962667035957,   -0.6932022860970225,   0.20298564079783676,  -0.8837404772419928,     0.5284572919484443,  0.15417004484755503,    0.4052027048456041,   0.9015345330372209,   0.6319868072263143,  -2.0368745594822784,   1.3119223774030617,    -0.8300046089232632,   -1.2237599847039033,    1.2141241180643745,   0.16665655021490833,   1.0074644000151871,  -0.4500996859553726,   -0.5072842140311159,    -0.3007137305412747,   -0.7388105662284059,   -1.4827312660039347,    0.3612697844329631,    0.6134110103345642,   0.7849746588846712,  0.45745781585373874,   -2.4728169007013823,    1.6002567128590386, -0.37458476369384996,  -0.6544957594179883,  3.706555856313653e-2,    -0.4810756142902143,   -0.9961932742628679,    -0.851659322243756,   -1.2286040145610022,    0.3121991113077408,    1.1144230611193189,    0.8492324588811149, -0.34396037939179364,    -0.7941148714159479,    -0.80853460620848,    -0.5222576039177117,  -0.33597296289037604,   -0.3043466235369078,    0.6351191919202899,  -0.6323540079604951,   0.2365138523619129,  6.104774901681976e-2,  -0.20409897407230487,  -0.5414843040801403,     0.6648692191272462,   0.26090397031336493, -5.953817634207814e-2,    0.3972415557155291,   -0.19911967743595552, 4.780625673072377e-2,   1.6116992427892063,   -1.8017551663046334,  -0.39182360683982775,      0.706400960897293,     1.287658165776032,   -1.819916835265125, -0.22857991689902898,    1.5849420651616246,  6.734461587201244e-2,     -1.82383774669768,    1.1515370169839019,    1.890553583775232,     1.2920390124100274,  0.9246906362705974,   -2.4992435675287985,    -2.2385757446389687,     0.4208572228967544,    1.3802248197038827,   -2.104864850802222,   -0.6688186998711599,    1.8275530767297927,  -0.17742260189451972,   -0.3051867358961388,  -0.8293715353950283,   0.2874727781877507,    0.8512366315095456,    0.17092780641262428,    -0.9957657794898059,    -0.6732125739541106,    1.3742237428571085,    -0.6563218997993147,    1.622746526932302, -1.5749985044029028e-2,  -0.8254493706039449,  1.9455931552772962e-2,     1.491745537713874,     0.7536990561917827,   -1.2387660385996648,  4.3030746768257785e-2, -8.285384935045636e-3,     2.2489168321862003,   -1.1177154064769046,    0.1360016785243438,    0.7497901924071981,   0.12158840577707561,   -0.17301191288809886,   -1.0292307539117267,    -0.9403891367311584,     1.2041997935755946,   -0.2866716768737829,   -0.43370984571811927,    -0.6670465968893713,    0.9091157212579535,    -1.320786736648661,   6.369302037203474e-2,  -0.16523579294381063,    1.6649375168447993,   -0.6020553450810308,   9.550403104940614e-2,   -0.5569753471833568,   0.8284764708023964,    0.6188403298290717, -0.38191196200420313,    1.4878201974534777,  -0.9621589890700506,    -2.1580331615390445,    2.3805173186172106,   -0.14555207948697146, -4.4058383111883525e-3,   0.22543398851444954,   -0.13608081575338787,   -0.5865760662541166,  0.28475681219358834,     0.4455311239601701,  -3.432060412850451e-2, -0.11755267520106344,  -0.1420492581188372,    0.4993568974568246,  -0.4747670227419231,   0.49518542860881515,   0.3183072729049389,   -0.8865382876715354,    2.5778119088404416,   0.13112791200539936,   0.10125630095650281, 1.4974819403053514e-2,   0.41406003950640075,   0.13206436895067325,   -0.3982952392429706,    0.9559629876517248,    1.0308005484062321,   -0.5060948997420541,      0.253176383824146,     1.9082264702416802,   -1.4322647818256502,    0.37950561589875875,    0.12024329819067678,   -0.6146627437975716,   0.48826024783547556,   -0.3692966433120839,  -1.4063411155600143,    2.242100799700293,    -0.1063151954896907,    0.3129208106241964,  -0.5595393999273385,   -0.31909215034919874,     2.0240577503530823,    1.3630315899388097,     1.2817157780230415,    1.0232554064535335,      1.345455630032029,    0.1270651898206693,    0.7252392071411957,     1.100295338873726,   -0.7374386959393523,   -0.4340856884514914,  0.32967315921620505,   -0.19807503357874715,   -0.5458107068630148,   0.11632356303228222,  0.22883455986387377, -4.2751162371060795e-2,       2.0152954001033,   0.9877779034360613,   1.8026082340311238,   -1.1447890604125277,     -2.012251183099367,  0.42813987400858905,     0.7288550118780487,   1.4663002195776038,   -1.5052597261059297,    -0.4928326112780098,   -1.0029263530523906,   -0.1900267676339252,    1.425340495369605,    1.1413258628795384,  -0.22161319184373227,    1.5553372590163081,  0.32932812762160374,   -0.9189059130954125, -8.474542611535321e-2,    -2.124177305084528,   -0.16975188848933112,  -0.22952207984862055,   -0.8977600962465432,    1.4892862219621805,  0.13781694315744214,     1.499381271838341,     1.6700382175185469]
+    ,[   -1.3266818266958227,    0.9244233567187439,    0.9543652688516802,     0.870310794377697,   -0.5237152267060659, -4.5170984877572415e-2,    1.0077385934349896,    1.7981759061791043,     0.8693127579798896,   -0.5432599147589571,    1.1704615872297777,     0.9427872424681629,    1.7908963809493996,  -0.11311673731562358,   -0.5243613063603618,    0.6353856529919947,    0.6352516827104847,   0.10424633376022795,   -1.3074779248345976,  -1.0815185415706532,    0.28868293751395785,  -0.6385306864747328,   1.0477663643941793,    0.1832590159632543,    -1.5191406462625654, -0.18696070788642363,  -0.8335840618762718,    -0.5342329356506111,     2.2308643779958173,   -1.6777086741600287,      0.359196198694903,  -0.16383750998292318,    0.7692263545490753,     0.7790692330386504,    1.6724858872766153,     1.343127543459009,   1.8775117919629003,   -0.5058473431889156,   0.8910943774897206, -0.20514732581148393,   -0.9469651878613361,  0.30130798195845265,     0.7906272132314995, -0.28192626243662156,   -0.1953810896785251,   1.2065887978665542,   -1.1875822727309095,   0.4305990244102858,   0.31315281840018266,   -2.1613489517872964,  -0.2128165608225331,   -0.6686683071844249,     0.9469364418845985,   -0.6063093006497755,  -0.42733399266419736,   -0.6879735924541897,   0.25847635945274616,   0.41334827502648736,    1.626081819742845, -0.42654216410242657,   -1.4250344573693654,    1.2635949360721812,    1.2052107822477922, -8.092734077486208e-2,    -0.869856834267543,     0.8476724280070019,    0.8646213743740181,    0.5053369031054403,   0.44049273451384924,    1.4576174731917588,   -0.2757843874113287,   1.5465127709891175,  -0.9157684244717106,   -1.515489898316448,    1.2777865470173746,    0.24485477949448436,   -1.1580846093211024,   -1.5530122139908367,     0.336870713684719,  0.20380025212782002,   -0.5900085532534469,    1.6498874142840319,     1.2140456388051113,     -1.017428685289258,    0.6929206680132498, -7.162432709919567e-2,   -1.0935224213987933,   0.7200967557828132,    0.9304506163886831,  0.18260808335604334,  -0.8739538419872538,   1.1167718980882113,    -0.6331342974806351,  9.188371797320465e-2,  -4.697961818169649e-2,    1.0170064572165283,  1.971305402561538e-2, -1.1188324711957312e-3,     0.9680111785275661,    1.3050135982453621,   1.6603799310491911,     -1.538536450529104,      0.266881957613524,   6.335517711479268e-3,   -1.1172744344396055, -0.28093838616925576,    -0.6389698567622232,    -0.703709595462039,    0.11518835640336217,   -1.2007965486089436,    -0.581382881820355,    1.3923156631507616,     0.8015058395175471,  -0.5223965724800851,  -0.41710291183550546,     -0.911026699198242,  -0.26284491964316153,  -5.935345749076005e-2,      1.855006237819531, 1.2979580819827669e-2,   0.10647964802252903,    0.7195667126049686,      1.614864112485324,  -0.8748892539959405,  -0.4216392675650432,    0.1290382198658524,  -0.39708870587055056, -0.21271279743935473,   -0.6470075413556078,  -1.9260276427088057,   -0.4242037720226356,      2.12525376907584,    1.1028613023125458,   0.5526123778732223,    1.2737727569494532,    0.6728833211169525,   -3.774217543679655,   -1.5240935765120438, -0.23479677612804492,    1.5190013527053863,  -2.34415151870984e-2,   -0.3824566727548778,     0.4924944691736724,    -0.7917369178879424,    -0.8124234856093803,     1.6602670072284615,     1.09004474945909,  -0.16922655320891955,    -0.5202844553583725,   -2.0975098106671504, -7.212447011363225e-2,  0.47661821548959993,    1.1201932139757464,     1.2038117005822808,   0.17174206488986102,     0.7016231152115905,  1.4371664567336855,  -0.7627929847041451,     2.512326812058343, -0.48392879409377276,    0.4186309997968188,      1.435048946238883,   3.430817172622011e-2,     -0.73425920560066,    0.6450862203644245,    0.4802919522709911,   0.40766593103648857, 4.6679369210786456e-2,   0.7535815961062311,   -0.2144578428112806,    -0.7144274427771563,    0.7840603474005168,     1.3135972546984962,  7.231280589453859e-2,     1.0174279078283115,   -0.7813922247691669,   -1.2576656583267618,   0.4280633993638967,     0.9002229753430653,     1.05491194992225,   0.9951495186200726,   -2.3074049785017055,   2.1916484751682868,   -0.22224687389775047,  0.26082740150956013,    -1.186037080745904,   -0.7892722234969607,  -0.1744035737770441,  9.768489083587684e-2,   -1.258943345390393,    1.1221027483740955,  -1.3875111588941929,     1.5597960612713033,   -0.8482145027947963,     1.803132808545611,    1.3922959003192068, -0.45547736936878724,     1.2364195573877095,    0.5613228210547301,    1.8572706524418734,   0.21781459727218566,     2.0504001566658028,    1.256260856478793,   -0.27403843977877973,   1.5588789165930508,  2.072330686257035e-2,    0.7224666777409903,     0.4064101871340769,    1.7918342934840927,    -0.7490618958737891,    0.2955463410990058,  0.26055209181826705,    0.5509812494364578,    0.5269616668992336,  0.20548767905509552,   0.11811740713523775,    1.7591261441368977,  -0.8015293954566824,    0.5504908903390934,  -0.14168351653612624,    1.4057159851624514,     0.7699440202198911,    1.2858260959703782,   -1.0670047176506618,  -0.9936332658076086,   -0.36408110103611674,     -0.822584877739152,     0.613758477901304,  -0.2932433260360623,   0.16081788596773924,   -0.27713574739177954,    0.9698899814520959,    -0.4987336427706883,      1.64621912967621,     0.5039801255626286,   -0.3748193381246262,    0.14488116502827286,   1.4008368866715146,  5.992467566901488e-2,    0.8901525120592968,    0.3991500441110343,    -1.3148923195047164,  -0.8325534697979378,    1.0421533645194208,    -1.6397347870337593,    -0.56203962573114,  -0.9280722657949018,  -8.52525151243816e-3, -5.291726747309558e-3, -1.5827994980436116e-2,   -1.2423465998557004, -1.4655084331422475e-2,   1.8673321973942896,   -0.8694320598261026,   -1.7104833943136009,   0.12352653622982535,   -0.13823984700312383,     1.9996216592368117,    -1.2376342137734222,   -0.6118472920771755,     1.5245367832512655,   0.15951954044920966,    -1.208923911680699,   -0.9079682053203005,    1.8284972907421733,     0.5317827985499967,   0.15593370178111565,   -0.6015287714207674,   -0.9873068092246094,   1.6208203561901304,    1.8473571001272577,    -1.4202938555877065,   0.49291831304290556,  -0.19214277695345733,   0.31240222871993745,     -0.28859943363897,     1.1590432779684896,   -0.7607702089037985,    0.692842779202756,   1.1129063554440948,    0.6112641068865512,   0.6890954880190422,    0.7836590337263959,    1.117726637205329,    -1.152546496936005,  -0.12101258236958728,    -1.6291513887775424,  -0.5668203692420695,    -0.7832988741386512,   0.16317373086217732,  -0.13987143713145436,   0.26693890790048436,   -0.5230857010543161,   0.5938633214817483,  1.0287723446006547,   0.7541063188205759,   -0.8633163695288267,    0.6449063784202101,     0.9767621823830238,    1.6870474149758943,      1.218615640638022,  -0.34702742905103223,      1.419385202875526,      3.428623176691051,     -0.946636486943192,    0.3797585620178405, -3.0650591473203224e-2,  -0.18599417359215004,    1.7178325746703393,   -0.5381011641445895,   0.28814995932541704,  -0.9379440782447863,  -0.6861227795655723,  -0.13944203459258497,   0.6403652386412811,  -0.4709970955384773,  -1.0961832380097323,     1.274270129206057,     0.5371196845213905,   -0.6787397162004407,    0.8265202121450074,    -0.8518792692747027,    1.6016242515989674,    1.1685969714063702,     0.8975456648620418,   1.6187178092916674,  0.17380571662235894, -0.23565752000774778,   0.5519081509931641,   -0.4676208818876796,  -0.39947007610851176,    1.7274581840486323,   0.43553890200386086, -0.13338212388966347,      0.645574042687749,   -1.0130582897136204,    -0.6835640897126428,  -1.3842991198195322,   -1.811388846295977,   -0.5907232819615261,     0.4355803913156615,    -0.8925239831500578,   0.7591225446107979,    1.1962467150132177,   -1.2640862405701574,    2.0385127157820198,    -0.7762093511446427,   4.615050156779333e-2,    0.9239054482560608,   1.1795519958289686,    1.8468229635461666,    -0.9234909401051118,   -0.24887753453617376,   -1.2925959520410115, -6.961653695016912e-2,    0.49441210653544887,   -0.4518262511830381,   -0.11723131749845835,   -1.3379509904676563, -0.14191097859692828,   2.2866537178778708, 7.105825416805174e-2,    0.6710213330481272,  -0.26794684634759014,  1.7199044897660658,    0.9659882654125981,    -0.5594276800924788,   0.29239537217595934,      2.777173168904792,    0.5814033465609677,  -1.0121576927478646,     1.1679811600165557,    -0.7306556045892446,    2.378851524632743,   -0.22391028960057227,     1.071029091488634,     1.2287553805553486,     0.2916216171325479,   0.5264688541430499,   -0.42099250010640626,    0.2533329716484277,      1.759592066269032,   0.6017024426000435, -0.20760719300488567,   0.45797193275550985,    0.5719016148224858,  0.14707311687429767,    0.9718884530494665,   -0.5057870584912724,     -1.250089191443982,    -0.8096112095115566,   -1.5084414127310886,  6.301005830647148e-2,   -0.6479640816900061,    0.8642648524466835,      0.330477603241442,    1.7835343316040793,   -0.10753438153679983,  -0.21005733498573567,  0.19220746267578992,    1.6195886615358817,  -0.5799932134290978,   -0.9246276822324898,    2.5091183936651626,     1.9883098095275105, -8.97241837828503e-2,    1.0138349777195457,    0.246558773513934,    1.5833536439356186,     1.0862318142687564,   -0.2105442503113262,   -1.3104764187689748,  0.19700788291117954,    1.3434308327248463, -8.418104879519389e-2,   0.9940347875818443,     0.9803661514442306,      1.446145028450483,     -0.228813052618876,   1.4861755159878554,    1.4670459312189366,   0.6359522732399702,    0.32420788894433095,    0.27717066671497653,  -1.0337108383091096,    0.7098093331397844,  -0.8552925952575724,   0.6092575007661095,  -0.28526539740414664,  -0.3793007583438878,     0.5424413079820363,    1.3526029016793508,  -0.3470723686126254,   -1.645182307713986, 1.0496183324479182e-2,    0.9759773058463097,   0.15484610939958784,    0.9084132207545514,    0.4731050990389213,      0.602812465335461,    1.2427999569701564,    0.3572603117950549,    -0.4388560216022103,  -1.8238345959414286,   -0.4390794480752881,   -1.206853278248022,    0.4525501049625793,   -0.2334552238275913,    0.24909162599624293,   -0.3108169035017332,   -1.2417508758557563,    0.9205616451466101,    -2.703775904483393,  -0.4038930248830258, -0.13637714582722507,  0.33155141093950696,    -0.855040757706716,    1.6120571482152992,     0.3256956591049798,   -0.5281352175670865,   1.8852820979066571,    0.7877354073385125,   0.3456231272731072,   0.23363173917818128,     -0.325963254364239,    1.0042901605326626,   -0.6161054570446064,     0.9857638337776159,    -0.8037932371666545,  0.40411676527731705,   -0.3872597623405581,    0.4720521899753394,     0.2682204058850734,  -0.11262744026467549,  -0.30021595125920164,   -2.1235422561588932,    -1.8380649786114172,    0.7844840457938665,    1.3341140879924478,   0.33976961729523586, -8.693946748957578e-2,   0.46283275333936524,  -0.8664337378363718,   -0.5145762125026682,   -0.4539422864208016,   -0.5344720766743045,  0.21283276977873314,   1.2332652220349063,   0.5701218022848448,   0.44177908547294054,    0.8473964053609527, -2.430247008663084e-2, -7.946365086995483e-2,  -0.26637888648182834,    0.3387277115664964,   -1.3258394364193178,     0.7066839614956076,     0.5684157528924741,  -0.2894718960667934, -0.33580703913081733,      1.040423984432347,    1.0095594867587525,    -0.5655736297964506,   -1.9556930098879675,  -0.7368951354764723,  0.49872198614522645,  0.13354815620180624,  -0.22385578782831544,     0.5169083558903927,   -0.1364610670611289,    0.6687164798907168, 3.1010856589822333e-2,   0.23201621233954248,    1.6024685033832338,     -0.986151589330563,     0.9171923669280548,    0.7928131317267579,   0.32996660617890566,    1.638438501022802,  0.9916153112436726,    -1.2800917617919934,    1.4162882807987998,     0.5668074732098721,    -1.8418481206063866,     2.2761370641518632,      1.146880194396793,    0.2795625406295676,   1.6468283299713875,   7.072432733172222e-3,   0.25232967087208913,    -0.6502148733758362,  -0.20545390250371934,    -0.363824595854491,   0.22873279848651668,   -0.5582809749270413,    -0.959469397067689,      0.59700077625994,    -1.3532545038664499,   -0.3387920267210249,    3.058906907472144,     0.7649265082481703,   -0.8111430049623808,    2.125110971944172,    -0.9747571850616642,  -0.7100318847001299,  -0.11718750032482628,   -0.9168906476390635,    1.1289637400690247,   -1.6146985099243145,   -1.7747368953388385,     1.5410973169485525,   0.24839431082553892,    0.5272269843252979,    0.5240136643232537,    0.2829071783199915,    0.4372140412023454,  0.14210307885519424,     -0.697969086271369,    -1.792511578058059,     0.6548299384958794,   0.10304274989287476,   -0.5205897581394532,   -1.4102107763295504,    0.7205478121808095,    0.22135639117308767,   -0.18286187786460367,    0.32122216588991126,    1.0989758935174363, -5.6290188729513774e-2,   1.0744481300619582,      1.135501546469425,   -1.9601630356499329,   1.4116032135804435,   0.3409098008625786,    0.7585438281506691,   2.4801967142777013,   -0.6785151584713842,      -1.12270417922428,  0.22757427603158412,     0.7439039441531057,  -1.7573981643816214,    0.9919892812144044,   -0.8570425004141119,   0.3947715986231228,      0.865454096919001,    1.122872257029099,    0.5970177293449016,    0.279574876851632, -0.47267979129907245,    0.864848394698606, -0.31495216781420954,     0.5273412452925045,    0.9545533879402346,    1.0519102304226726,     1.057549093873918,  -0.6463610007890307,  -0.8721522893402098, -3.847590307024818e-3,   -0.16282231042824455,    0.5183965720676351,    0.8960017948773342,    -2.123727495719362,   -1.7951259293711481, -0.41550147597565396,    2.536385266528036,  -0.10514993367765213,  -0.22952543340184683,    0.401699651541666,  -0.5301677333289584,    1.1532891019256912,   9.375249475168237e-2,   -1.6660001312339823,  -0.47896241269795975,     2.657995418348194,    -0.355513784303295,    1.3475045279363826,    -0.713335809245894,   1.7577695634954578,     0.4206434872303233,   -0.805010880496189,    -2.2335717916619373,    -1.210159956282089,   -2.3823359955329875,    1.1214530318335871,  0.49900183055057445,  0.31089217828655835, 5.7330852119955034e-2,    0.6496619012580558,  0.24780444418737332,     0.5133145016270532,   -1.0207132517566786,    1.5337345899027628,   -0.5438968697643584,    0.41437138892012126,  -0.3464971723439451,  -0.2771371150214065,   -2.4738850699297448,    0.7610458210944419,     1.5448922399921383, -9.391633821726249e-2, 5.826240483554676e-2,  -1.4137965334013654,  -0.14055492692945368,   0.27920823633843533,    -0.470750061053364,  -0.21680150057830933,   -2.732808023005979, -4.3225111539971425e-2,  1.0301249953173612,   -0.4325446338435085,    -0.8548960625412506,    -0.5306052540308301,   -0.5915543663491575,    1.219854556857595,   -1.2856933695771742,    0.9816163476751065,    -0.623026013504472,   -1.1845347089413196,   -1.819034491776004, -0.10486032226062317,    0.5796273660145435,     0.1219460651251808,     1.6826190511032502,    -0.7932574381436343, -9.068846005011218e-2,   6.419196547183846e-2,  -0.5600247488025701,       0.97112178682978,   -0.371836872320188,     0.3710007780784252,    -0.294284308110002,   -3.00922486695328e-2,    0.2285084781172275,    0.34343613132493006,   -0.2757357311656308,     1.1639416400479468,   -0.4093777074071765,    0.4675797250350957, -7.184877491765337e-2,  -0.18865753445133837,    -1.2288688606523799,     0.262882951961309,    -2.0157986991813104,     0.2450142362245333,   -1.2777915345961977,     1.0930242989300947,    -0.7605558681068926,   0.46215992231620107,    0.8494977216537299,     4.2744472191228e-3,  -0.11466397134851204,   0.31368943764227175,    1.6049127103496639,     1.9088868779320964,     0.601189775647599,   0.3859145398081337,  -0.21849696723197426,   0.9509737570889869,  -0.45366425958292417, -0.46867688975853306,     1.3279598253768827,    0.4993300127269599,    -0.7448927057086833,     -2.052986206202137,  -0.14584395488433602,  4.3390351982071175e-2,    0.6894400071250822, -0.23278568213755774,    -0.4795077666267218,   -0.45960737898039994,  0.24756313568153243,  -0.1497837662754422,    0.6207541456499707,   0.6276464599676406,     1.013434876673536,  0.18919682839205243,    0.6518987992508936,    1.5012528929248972,     2.445772798381289, -7.891044299395145e-2,   -1.2490035624822233,  -0.39003882344279334,   -0.1688217878231499,  -0.12146332544213913,   -2.1983068018181795,    0.9383146617898754,    1.5294281170898478,     -1.933181062606082,     -1.386074955230484, -8.700241199435396e-2,     1.1828769847947103,    -0.7111566643635234,    0.9452344847762849,    1.0491129436828548,     1.432547869139248,   1.3254206318514976,    1.994875790794146,    -1.3783074159230624,    1.2575497138527796,  -0.7162926600257681,    -0.8472212634249217,     0.8174560597375926,   -0.2745079714107805,    -0.9037327477635565,    1.0142002457438715,    0.37359313924957444, -8.248392319354489e-2,  3.757559611585291e-2,  -0.21831575350809268,  -0.17367697211895253,    0.3825472416634479,  -0.2895418828235829,    -0.6140640838836705,   -1.5400833296463274,   0.10966203723627656,  0.27606199645437574,    -1.8028473926490372,   -2.1552322392409673,  -0.4918042574255391,   -0.816824582840737,     0.685329350083644,     0.6516407621465309,   -2.201117008432123,     0.7120972454711787,  -0.9675410087800514,    0.3387911008992499,    -1.8538247032546322,    0.1740505572837974,    1.4410979371354367,   0.6612825193976096,   0.19679340461364242,    2.5709942434816107,   -1.5927400659457203,  7.15173175180508e-2,   -0.5622303091830164,   -0.1878769019240835,     0.126275571623528,    0.25669546282605715,   0.16840580664900337,   -0.9711054469195745,   -1.0894583020358117,  -0.6401870999384083,   -1.7765648031800763,    0.36192944449139824]
+    ,[   -1.8151869817369006,    0.8870654786314324,    1.8969452563457327,  9.776637192146455e-2,    3.2863427133231853,     -1.647553163950299,  -0.32744956152930593,    0.5972600703700957,   -0.45892765939779545, -7.626879957782867e-2,    0.1854110464390731,    -2.0328785196278374,    0.7226080998843153, -8.443094154207648e-2,    0.2738235211501153,  -0.25629022665896506,    0.2728952724458061,     2.070756789953687,  -0.22648470772704724,   1.0363343695860838,    -0.7535704671226109,  -1.6821297044526904, -0.34569245667518456,   -0.6134704550566407,     0.5460820172031646,    0.516826097480555,  0.22768337814802328,    -0.8442226551638731,      1.394059388057368,    1.0357905871667106,     0.1153052656693198,   -1.4430127846571124,    0.5303268807858199,   -3.93009601799349e-2, -8.707995816543697e-2,    0.9332661379717576,   0.5670722533497352,   -0.2527387577083784,  -1.4386242270530367,  0.49823318425560803,  9.212902470622568e-2,  -0.9304690636768556,     1.1642163969162995,   -1.161967716796939,  -0.30649516817073513,  -0.3526859880634374,     1.260152850135382,   0.4236014557149962,  -0.11000064591321726,   -0.8524890163243978,   0.8946845456007593,   -0.9770798960265106,     0.7408741312909911,  -0.33525772317870484,   -1.8935755945504276,      1.03910261206553,   -0.7176387303452944,   -1.2538965302315508,   0.7562482038109033,  -0.5334433942614716,    0.1319568640938505,    0.9152740548292458,   -0.4309488082858267,    0.3524785806903989, -9.419672965033049e-2,     2.0382404503425158,   -0.5974623223345691,   -0.8160389880096219,    1.1119723438588542,    0.5723124138345314,   -1.3714737024204677, -0.13820256162367534,    0.620667796487416,  -0.5507741647149146,   0.47724143459493257,     1.2560454153072755,   -1.0717320125439656,    -0.229191495597722,    1.7591095092374447,  0.15285597916098798,     1.938231623509913,    0.8527201373372103,     0.6152488019562605,    -0.6234794492266197, -6.146375093403261e-2,    0.7551830650328528,    0.2521855281799837,   0.8631964686840243,   -0.9509303587919129,   0.2985755265001554,   0.4992963334078067, -7.57469622855838e-2,     0.5235740200889413,   -0.2335458382189068,  -9.165392589514376e-2,     2.714846644826924,     0.766228377515733,   -0.30203404312164545,    -1.2450441212969394,  2.984525971715742e-2,  0.25787430151484975,    -1.0483278269477958,     1.4213123121376499,   5.511011973551134e-2,    1.3781699283880926,    -0.66021841622898,    -0.6035290596371673,   0.13477303374547334,     2.4079989914716373,    1.0093847190976337,   -1.4202821626474733,    2.1054911425047664, -1.5048538597153991e-2,  -0.7069029174718019,   -0.4930931567274708,     2.2556689132378698,    1.7283785134045877,    -0.8970606835832614,    -0.6489997859939306,  -0.35837127903787513,    1.9904205980416765,  -0.12557535333572675,    -0.8782671490356623,  -0.5227547968917208,  -0.8488152635339321,   -0.4354334515100652,  -0.15961364557380375, -0.23395798440731871,  -0.42470942879889906,  -0.3470498246453134,   -1.1493319282083412,   0.32393759407436234,  5.243836736761439e-2,  -1.3412887595564398,   -1.6615621927947402,   0.26039199101407356,    0.275444262731338,    0.9749452967619074,  -2.0253938898880315,    1.7375636360925346,   -0.4018158393848046,    0.4032107497805699,    -0.5590213076424636,    -1.3035997449635177,   -0.41610179034074796,    -0.1959346738725998,   1.3460496312390473,   -0.7866145473955458,   -0.43653697722677953,      0.97218651620779,    0.7929342351863361,  -0.9292922718419127,    -0.407126410964609,      0.423183500871052,  -0.45960113240436995,     -1.091296133230592, -0.4416565456025544, -0.11429142828105386,    0.9027765820438742,  -0.9495473425054956, 1.0217902384728748e-2,   -0.13348456049252336,    -0.6158940967240786,  -0.35055951429176707,   -0.6244979278997926,   -1.1803164456512847,   -1.3071358695278856,    0.3444098263776012,  -0.4802471751121389, 5.4865692535324674e-2,      1.200167122241099,   -0.7638995986342055, -2.1593669348125313e-2,   -3.3744462898921515,    0.31443653747230604,    0.7568935626497998,   -0.8479014294492331, 1.603645793118653e-2,     0.1432610665054494, -0.38899495101563597, 3.828946541772365e-2,  -0.21934620746752984,  -1.3697092389768757,      1.311817066702979,  -1.0945544457014507,    0.7570350382460679,  -0.21390982748143483, -0.17071716589911656,    1.0871033056102477,  -0.8998301028612932,    0.5816484082533111,   0.2864149817540964,     0.7049417777982299,   -1.0259894926386024, -4.021299164526391e-2,    2.4246882336475557,   0.8385721181023655,    -0.2608412422637488,   0.20830961570160636,    -2.084789276119337,   -0.7347811738837691,     1.1212703432683606,  0.12380513975525592,    -0.8732287664288952,   1.8049133974055083,    0.7806820239981418,     0.338460488402412,    0.24365877164961777,   -1.4618718546570202,     0.5698952228039823,  -0.35762343880681857,  -0.4933409593833107,  -0.20995706308825612,   -0.2306878142002864,   1.5235118801529617, -8.096916843568261e-3,   -0.4261114487815944,    0.290439439001425,   -1.4104316446722889,  5.270179555571635e-2, -6.812812683605927e-2, -3.0832785664802884e-2,    1.4329216231885635,    0.8194748795072531,    1.447064035133012, -4.9495645768563946e-2,     2.0930335412549583,    0.2823528893114984,    0.576891727112074,    0.5118690766498211,     0.4905238509795102,   0.14851526938636964, -1.3985281305423737e-2,   0.24517215863049688,    -0.4532759015892827,    0.2723860754761284,    -0.7809305090666282,  -0.3645332933637491, -7.471515080038588e-2,   -0.1622973903216116,  -0.47279600166690006,     0.8462675766792945,  -2.0849510474879693,   0.31152673110798695,  -7.074240327256257e-2,   1.5708550036924638,   0.5565837877134092,     1.510095915299447,   -1.7767504181475215,    -0.6720415637146577,  -0.14336893398107356,     1.1320516089395847, -0.34532322733886367,  -0.12926894142224393,   -0.7308740695118109,    1.3095474885855742,    2.44331732249075e-2,   -0.22213419309188168, -1.0974621419303266e-2,    0.5862187382843745,   -0.36628988193586004, -4.735400731663044e-2,   0.38838106984401477,   -0.4747123334823828,    0.6161889240430164,    -1.2920624202186721,  7.926258698484119e-2,   -0.4930556352827279,    0.6427968078390603,    0.255778232092522,    1.5058117454649458,     1.2643812277350865,   0.26520144641007976, -3.159135605273355e-2,   0.38797693687015206,   -1.4492439212587005,     0.5063290943980527,    -0.586983640549681,  -0.7995622802007978,  -1.7590721488297647,   -0.7074841738465849,  -0.7239397672110955,  1.148137336208818e-2,   -1.285071251632845,   -1.3503562551127646,   0.49869138362119214,   -5.11768058420273e-2,   0.6645031392645276,    -0.2510896950936023,    1.1725676065790722,    0.7556399605370541, -3.197434511812792e-2,    0.1413200579031639,   0.5681755270009707,  0.4068885130403228,    0.739232803705885,    1.8528138576711746,   -0.1415087885345352,   -0.34069672313209637,  -0.15818800031172528,     0.3280174799373177,    0.6557758280867263,  -7.869967234459507e-2,     0.8035295062014157,  -4.898022698885733e-2,   -1.0786237313482736,   -0.46916853490426313,   -0.9283265623564123,   -1.3448466448751624,    2.2707668445542817, -7.919973792643303e-2,   0.8385920904419387,    1.851923393652277,    0.5090530789252448,  0.41876677013050634,  -0.5529052814667416,  -1.2004435448293447,  7.977290818023045e-2,   -0.20393223777935324, -5.707053547538011e-2, -4.831436986085084e-2,    -1.7111789059385694,   -1.4772057208459832,   -0.8602420201688092,   -0.25604895659413063,  -0.5937393485223128,   0.4242727736980983, -0.48989355977185906,   1.4974111718351073,   -1.5745949166033333,    0.8999400386806803,    1.2128963472476477, -9.113275759098989e-2, -0.31680042445096396,    -0.1427829908351427,    1.1404751555640245,    -0.9970182535514401,  -1.5161894659572526,  -1.0263891574369122,    1.0863665105885505,    -0.1620427648607335,    -0.5691743241773346,    1.289426318345582, -6.937606021089518e-3,    0.4212492061356811,   0.28129404386219126,     0.5142948967963051,   -0.44911872666796454,   -1.4895192523396852,   -2.043773913606735,    -1.197195690943139,     0.7839930477444222,     -0.942496931604364,   0.29929077621052425,   -0.8167324185718644,    0.33317857455188055, -9.051127672380366e-2,      2.411053201864148,     2.659368500365529,  -0.1433499748079622,    1.679702277854076,   0.4774349063887945,    0.3677584601674681,   -1.0252812058104015,  0.7660885313520314,   -0.5813088664649936,    -0.6312196633952586,   0.41682803714202765,   -0.49358039480683347,    1.3079955158605456,  -0.7447888186580405,    0.27641158209377875,    0.49441603619085545,  0.22158065515387568,    -1.1224386809133007,   -0.2803373455156194,     0.2231377396969886,     0.5523492361973985,  -0.2528338308563868,   -0.37210966323300204,   -0.4699796714573011,    0.22340399393636876,    0.553125603226584, 2.278101428535375e-2,    1.2044521768579344,     1.343760375617702,  0.11399816195501478,    0.8673787093652663,    0.5938111271505719,   -0.20200063613616023,    -0.3409350415414331,    0.6908467207925396,    1.3705412796614895,   -1.3442984063374945,   -0.8783671320969679,     1.0570661169978313, -6.663085970148476e-2,     1.5586730242939932,    0.3883356949464144, 7.030613286480004e-2,   0.26417754685260103,   -1.490018873810667,   -0.4949485013742682,     0.610954056265535,    -0.9374494025335386, -0.38926456041800045,   -0.8608568151361924,   0.2701868099462986, 5.2306298986681994e-2,    -0.1328573950681231,   -0.5980584096359653,    1.4395203328617494,   1.9118612571504858,  -0.10626792473570497,    0.1483811665600578,   2.3299412808757074,     0.9829583703598941,   -0.47802900402753834,    -0.3413428468626103,   -0.503020245170776,   -0.6022310921295574,  0.21371960788727154,     0.6350774499902323,   -0.12475607988586389,    2.681879995109913,    2.0234589479759855,   1.3785358641287813,    2.361805380950042,     0.943868125057903, -0.44858897427107564,    -0.5147854801227715,    -2.211172969067455,  -1.1295199100022808,   0.3554886026606019,   -1.0469172471822747, -3.489902644730244e-2,   -0.5443946566995626,    0.6709331561761479,     0.406007694062067,     0.4409500181648566,    0.3058122823898207,   -1.6909980990045415,   -0.23060224815739042,  0.19223260980622972,   -0.5893032744647491,  -0.3805088283130583, -9.171851859176293e-3,   -0.8631396038806841,      0.340415172699745,   -1.1283098542745151,   -0.7412823208666475,  9.223157672671303e-2,  -0.22701832176481493,   1.6564868927078238,    2.094790332827922,    4.134410167474002,    3.5981210641150945,    1.6979050993369382,      1.185531162304129,   -0.9147347387940582,  -1.8504211175403242,  -0.12222071957815396, -0.14489692098613555,   0.20575800602387911,     0.6609079065324712,    0.5177218070770511,   -0.2298160883007196,    -0.9707864635709907,    -1.1068937190414105,   0.9867331895531744,    -1.241026426216099,     0.436727205357678,  -8.690545748363526e-2,     0.280595275457733,  -0.29159788533489395,  -9.14256111003384e-2,     0.1586173625674737,   -0.6813927020870898,    0.7373282514641499,   0.15637935403410888,  -0.42314211029294735,    0.7459834186683506,   1.8230298976175958,    1.4645216288759595,     3.467687700522799,     5.963303159498221,   4.9433364506328665,    5.066307526394468,   2.5724030259983603,    0.2584463015438687,      1.67120705849175,   -0.5548404117173025,   0.13707386651202005,    0.8139402946083052,  -0.34766678200174966,    0.1975480782014973,     1.2824840730988007,    -1.2883968111320439,  0.10883523382452513,  -0.6047720580052237,   -3.62992797395375e-2,    1.9514613031445451,     0.5757824272114925,    0.3589345910030741,  -1.5661319200051664,   2.1939910346267055,   -0.250700139018703,    -2.428112132468198,      0.417416937998061,    1.2775004772377205,   -0.7138521020786334,    2.5290948793288752,     2.843452886407591,     3.445668710145563,      5.633861734301572,      4.338328040736429,     5.493075676412403,    3.6181179071823877,   0.7469136462708684,   1.764803663284059,     1.1834196730789153, -3.431358461868393e-2,    -0.8649065852842244,   -0.35054483199248604,    -0.8146414706583749,    -0.9528457844929836,    0.2815645324285854,   0.7434540461824051,      0.885169911951098, 2.1865942453980946e-2,     -1.524511090177751,   -0.7907958405156869,    1.2101330938985688,    1.1092874212400308,    0.4243169472755048,   -1.7512240761240303,   -1.8584899501385914, -5.7208127702333786e-2,   -1.0767870142131821,  -0.8342187898271511,    -1.1956270193995635, -5.614477933470117e-2, -0.43759254851712726, -1.4553100568938798e-2,    1.038236314452721,    0.3395788190465116,    0.3982749611243397,  -0.15039110357914598,   0.15203082620567684,    1.6950708873277596,     1.3814371873311904,    0.5497000780290842,    0.4261004054347647,   -0.5900841663381307,   -0.6746373530524427,  -0.46434634325227186, -0.47846075675009825,      1.024195844646489,    1.8745079116020311,     0.6215125761073604,   -0.7500024361987977,    0.4263345800350379,   -0.5333965344042806,    0.5126433126777009,   6.590408705063865e-2,     0.6844439350999642,    -1.1777558129460313,   0.41397429954864357,    -1.3254552405170033,   -1.707709569555291,  -7.494003628584274e-2, -4.016557914361104e-2,  -0.7271102530044999, 6.391531082088434e-2,    0.6061011498780361,   1.1072840359993754,   -1.0997311438188362,    -0.6324115593416046,  -0.6866818400980924,      0.222706887698763, -0.18768250657768942,   -0.4995366523335907,    0.5256958933078942,  -0.5455475729785267,    -0.7004993001854731,   1.1894012532542018,    0.2156129107286459,   0.5882889466905409, -0.11189921740133299,   -1.442287156320753,   0.7012494142479617,     1.2611355869269971,    -2.105963882562286,   -1.2397950720029176,    -2.516954569696719,  -0.3516949634529211,  -1.0345288010164126,    -0.322068152854324,    -1.0948782039817262,   -1.0371939936256407,   -0.2255103218344815,     0.970474013732377,   -1.6832110745214541,   0.3607646622076867,  0.29780492373018536,    1.1988595348704827,   -0.4241046788051722,   0.9963049805316131,  -1.2203784472736054,  -0.16364156152862155,  -5.667679766262615e-2,    1.7283351813917118,   0.30304508505385297,      1.78387491824108,  -0.22796434815985356,   -1.9964664099987977, 2.3221096047824824e-2,   1.4466739711603231,     0.8390866894616491, -0.24500613829946924,     0.6589347239845532,   -0.8320195449281262,   0.14851954131597597,   -0.2502446152935706,    0.230785320948964,  -0.3620204727631603,   -0.6723502816552978,    0.4982111132251449,     0.74045839076978,    0.14477729223653438, 1.1027204484151872e-2,  -0.30047694085058313,    1.3375603486075873,   -0.18034981031519626, -0.22885463768516726,   0.9350757138016647,   -1.2798304203385642,    1.1125227018599446,     0.7194389706289575,   -0.7444412112447069,  -0.8873819175024937,  -0.5465202808314766,     1.150456725832147,    1.4308253147037824,     0.344771332483258, 1.4313258241122574e-2,   -2.121048750865836,     0.9414621064048738, -0.7833105691795861,   -1.4924778332231958,      0.532923461156529,    -1.1641949262595517,     0.805866180822666,  0.30159301952917805,   -0.6289611243827998,    0.6300149142234681,   -1.4026578067849773,   0.18284002337837263,   1.1602004861692152, -0.40924565945626623,  -0.43779248643233704,   -0.46585022459611297,    0.10726912018436291,     0.6202681418997366,   -0.8661462579748356,     0.7075296183036168,  -0.9923459003376845,    0.17021317374348968,  9.19836061604201e-2,     1.0878886761001314,   -1.1186935016890942,   -0.19607675097509944,    -2.311179772233495,     1.0027236410560667,    1.6193943068396148,     0.6078198830752143,   -0.8324979576677937,  -0.43763432429834165,    -2.138204729512215,   -1.8747100833645347,    -0.7977970102946483,   -1.8609967486046324,    -1.2287256368736694, -4.5531040312079836e-2,   -0.6979617423000969,     -0.828286912858257,     0.5707416330934914,  -0.24801547588304476,    0.9751821058694532,    -1.1083611486646885,      2.05284526927525,    1.3629689513287033,     0.235582001138316,     1.4121112434820997,   -0.2375263601405383,  -0.8382916567473233,   -1.7980288819847408,   -0.951708550890361,    1.0050597797677507,   1.5893160757591174,    0.29233714864262833,  -0.17859800720790414,    0.18883451296258638,    0.14299757898011017,  -0.16341752336801013, -3.1461455487416905e-2,   -1.1746562651890537,  -1.9098992529150383,     0.8289048013613527,     -1.853266881293555, -0.12357257488315002,  -0.5840113465961663,    -1.030671143458247,  0.14191992685903146,    -1.558449582791382,   1.9403771970663266,   -1.5789239642843609,   0.32127177425319603,  -0.38604306433088825, -8.202773444462842e-2,    0.5449330516548273,   -0.5650191177522425,    -0.782896301277131,    0.4661597659226566,    -0.317955085747859,   -0.2658979272146713,   -0.4312092673637192,    -0.6011468507670744,    -0.6625737753455185,  9.135402988389561e-2,    -0.8555253573949693,    -1.7415913584532519,  4.508004432611766e-2,   -0.3758454107923626,     1.394842597211463, 6.065496459856974e-2,  -0.5621547463809109,     1.0347005818089208,    0.5420116498687567,  0.42251454967372887,    -0.6616764768267815,    -0.1757259324559038,   -0.3284920460932247,    -2.0800532653939987,    0.8766147583280989,     0.6044571180394398,   -1.5253871236569934,    2.0826977058527922,    0.1111480007922797,  -0.17551211845819087,   -0.2914494281931302,   -0.828623554000923,    0.28862860277534524,   -0.3212476857093234,   -0.7880848478265489,  -0.9872584305170164,     0.8969109262843481,    1.4585398572796937,  0.37179755003052833,  -1.5398683112151021,    1.1961132916122235,     -0.888019011252373,  0.38281938366305646,    -0.4562822337646031,   -0.674221127143481,    0.3794354421672432,     1.1900507294925373,   -0.8055659267289506,   -1.8555423244140345,    0.583599933163414,   -1.2073918484329986,    0.5321715542954528,   0.43713046921527404,  -1.1026061337680795,  -0.13676757945010123,   -0.2229304432168038,   -1.0913885168430006,   -0.12835433094458942,   -1.0495866420936049,  -0.20199311766292535,    0.8019379189338616,   1.0497564894043634,   -0.6047791006278966,    -0.3980337458733753]
+    ,[    0.4159213008373409,    1.3682061379465396,  -0.12889286787589957,     1.706783982133786,  -0.14945076252625888,   1.696605249899054e-2,    0.9485873019105163,   -1.7600095299459768,    -0.3138354032041819,   0.20155696148301172,   -0.9435457828089853,    -1.3709208154952783,  -7.49809670104756e-2,   0.29003021790629635,   -0.5572666344735495,     2.222131613790832,   0.31847231471309173,   -0.6375051849162852,   -0.4708974236608715,    0.520495590085835,   8.195089857866157e-2,    0.934959388476369,   0.8856032943761895,    1.7643787399716755,    -1.1559653013510947,   0.2774713634343478,  0.21706856868992994,      1.661442461355035,    -2.1644788676209132,    0.6896137731350368,   -0.17530383872474983,    1.1583666163886572,   -1.7541247763114813,    -0.3779967565153988,   -0.2561124824078928,    1.0140185294054878,   1.4708046957740475, -5.438218604760258e-3,  0.35802242871166984,  -1.0244320040411798,   -0.5969328308552186, -0.38745582627404945,     0.2320780556286863,  -0.7235783599227162,   -0.6114045526282251,  -0.5841499283727747,   -0.7548130534007487,   0.5148043246522493,   -0.4675404042059389,   0.28381749050251576,  -0.6525378262700992,   -1.5222845632561257,   -0.19626925560061523,    0.5147391150818672,   -1.6694558033310658,   -2.5914994023303572,   0.33456256784176175,    1.5724598038762934,   0.8935607861320312,   1.4647200748775473,  -0.25651820866175146,   -1.6558145841184548,    0.6332679741518917,   -0.4508927212431473, -1.989706466811069e-3,     0.7761104238373121,   -0.9027912533417333,  -0.14121840753959783,   -1.2452051385281355,   -1.2517384585897307,    1.1878791016300358,  -0.8401183064637924,  -1.3432336736093229,   -0.534603740259762,   -1.1006894664054792, -4.6435740823654835e-2,  -0.40708021064642047,   -0.8317364243347569,   -0.6143571828104538,   0.5523194393195123,   0.45657956356068435,    1.4444997767211916,     2.8757567334252125,   7.721732446576589e-2,    0.5998060979618681,   -0.8214548292611753,   -0.5448807571910265,  -0.5697192701470691,  -8.70661356278115e-2,  -0.7058346546172853,  -0.5155119821736467,   1.6519338682760583,    0.10953649824912845,   -1.0086394649392185,   -0.11309118574846311,    1.0849091639767345,    -0.464735284021964,     -1.370272466795585,    -1.5513676305218338,   -1.2348685735166351,  -1.0363201923075924,   -0.33424279228540626,   7.874513547609839e-2,    -0.9617735839182191,   -0.7167538190992293,  -0.9574028828086775,     0.5443236265960398, -6.594899234912359e-2,    -0.9558741317385677,    1.6009775635480619,    1.6463812641985758,    1.0788017161256658,     1.1244637437232254,  -1.2540343755065515,    0.9135008208996541,     0.6327208289774864,   -1.5897698308471306,    -0.5225273094071644,     0.6751402729711748,    0.6800444817275587,  -0.43146946345372517,   -0.7965656856098319, -5.5351745768814034e-2, -0.45058823795368647,  -0.5747596109494516, 2.7472252357779225e-2,    -1.710802163619074,   1.5762192490257518,   -0.8241091099359757, -0.34454991005248725,   0.22487058257821071,   -1.0289450918535628,  -0.10611061089736332, 8.537119912530379e-2,     0.945580972037822,  4.668680778389392e-2, -0.16786942574955835,     1.659010769354182,  0.14259824281406916,   -0.9785025897477346,   -0.5449082603015867,   -0.1610178594154322,     1.0481030954189392,    -0.3940011206233984,      1.413568759802236,     0.6122725993863677,  0.23750460292915376,   0.16162232859907888,     1.2888323989531725,   -0.6692796721305883, -6.468898687930463e-2,  0.43117869735995734,    0.1971609239172697,     -1.579219682320326,   -0.6137693839635444,   -0.23585828554798977,  0.9736627666070379,   0.3478868986520203,   0.24682584018581138, -0.46529821740228905,    0.4128281174236062,     0.6749179116457488,    0.27709152540164633,  7.692305392640371e-2,    1.5768486161363227,    1.8148186822543144,   -1.4801494510830393,   -0.6967703479665396,  -1.3508760953995809,   -0.6524673838161207,  3.7095588409855926e-2,  -0.37856567545212644,     0.3135265520364307,   -0.8539810386154661,    -0.5957635947288626,    1.6966880426074695,    0.9808572122010248,    0.870880004927036,     0.2510840078797647,   -0.936677418848041,   0.3558773109569278,      1.36268188310093,  -0.3449107844221249,    0.25271619942142365,  0.11808882397748019,   -0.6854789111429624,    0.9461304713244622,  -0.5919748050672925,  -0.18766130131210804, -0.44994180173698584,    1.1682641977618449, -0.11373164162387459,     0.5160137199696846, -3.498670925862414e-2,   0.37099022049108643,   -0.4813624811668458,  -2.0803155601908023,    -0.5885998174309532,    0.8816265470241087, -8.342435715445137e-2,    0.6396301495154252,      1.631679838907884, -0.24681788312642244,     1.2825153885820217,  -0.3233529489631028,    0.5174723861930446,   0.10645605232633461,     -0.733189124084158,    0.8337095469664272,     2.0127012546390293,    0.2582129968347396, -0.35508606171892454,   0.14742541323866667,    0.4465623596831464, -0.26679230116091335,   0.11015310888576867,    0.2915010912074688,  0.26672275405591495,   -0.9726779344439955,  -0.19805248726237168,    0.9909919384079241,    -0.5771955155297782,    0.9660342445402336,   -0.8283993963706948, -0.12979334156959532,   -0.10125000408583114,     -1.907011497557297,    -1.149723081233356,  -0.7075824859777519,   0.17727171113012838,    0.16847874854820508,    0.7828384455671875,     0.5790020903754224,    0.4337410518443754,     0.1504497240313723,   -0.6098936271555325,    -0.5145562358825825,  -2.0576964940045346,    0.8036323410757669,    1.2539813421080899,    0.9413569331073651,     1.2517269738177863,   0.2316175784994027,  7.562936338690888e-2,   -5.29588864933278e-2,   0.9438344323164802,  -0.8041077211985395,    -0.391535730505269,   -0.7113940524558395,     3.0966156455276295,    1.5419945086739564,    0.35548137010392145,  -1.0689809841606714,  -0.13762416496180868,  -0.23959872117151457,      1.53770863062902,      1.300004781968829,    -1.0192678666471189,     0.7708769390380249,  -0.10456955085867498,    -1.6382666574076479,    1.4174931158649142,  -0.23516126765890988,   0.16797828955673189,   -0.8978996287216269,   -0.14951322841791154,   -1.9293257986591164,     2.044626147378438,    1.9641731359778376,  0.19683315519254915,    1.0341216913395193,      1.442672621168201,   0.14946720772587857,    0.3175013732984749,     1.476613869552739,   -0.6674360659303986,   1.694995873203164e-2,   -1.1041767488889875,   0.5514173263200832,   -0.406808852050587,    0.5856799434724077,   -1.205313352716893,    0.9488562038220364,  -0.5682641349378461,    0.8067536615796105,   -3.0083690255664473,   -0.38279046271978645,   -0.300083319502029,     1.0146884696045482,   -1.1939894049364768,   -1.5323334156008643,   0.18456735022994913,   0.24992122360323435,  -0.4958626973775219, -1.3883733005777794,  -1.0473927965364753,    0.9600260325500632,   -0.3839973089010185,  -9.108318237251671e-2,   -0.2944436937750234,     1.4193894226828014,     0.937940582922642,     -2.708232847739127,  3.6787601391026096e-4,    0.38076889878424175,     0.287016008399912,      -2.85773358986736,   -0.9481275740298141,   -0.5403322676554313,   -1.1768486505262077,   0.38292020895038614,   0.8121745466314144,   0.5858562056452565,   -0.7473547695366993,   0.5980559641439638,   -0.225914373501439,   -1.963023580423848,   -0.6989936905113183,     0.6894698616736994,   -1.1060865078863844,    1.3466179005452412,  5.8601165305329814e-2,   -0.7350496921117756,   -0.3444795927827374,     1.0371820985517484,     1.27652851757861,   0.7788499840641591,  -0.7361449275113917, -0.11759990471808934,   -1.2218122165925613,    1.3422041178096675,    0.5517211641719447,    -0.457077932234593,  -0.5341750435315902,   -0.36489545568510007,    0.1904138018345316,    -0.5098182586354219,   1.0259878456160847, 4.187952406273961e-3, 2.0978989346717075e-2,     0.9203109592018346, -3.1769205234581134e-3,   0.4612611744320976,   -0.6799780426511307, -9.129399239173716e-2,   -0.3509323707351185,   -0.13531323336390713,      0.537658276568189,    0.9918419663069906,  -1.2969426753001538,   -1.4510501312588013,     -1.057815328417127,     1.0374626373802613,    0.9876810524582534,    1.4040736674638254,    -1.1268974349597618,   -1.0980277617393956,   -0.31058647493221037,    0.3710699652616964,  -1.8149939043760757, -0.18599192778485146,   0.7868092212496801,   -0.8680426744154561,    2.1789174535281477,  -1.088962050140837,   -0.6273460908105853,      -2.13887074975682,   -1.4303202847021594,     1.8813080297296512,    0.8438572551594428,   0.3789715752958061,     1.6813423171836162,     1.8347511943577146,  0.30555949003096894,     2.6204028470672993,   0.44201801920548955,    -0.4350210012876954,    -0.5459863797132329,  -2.8995531518642377,    0.13997898085914826,   -1.8936558516417163,     0.7675884205891108, -0.39892792297444196,   0.8798823103137878,    0.3739086051512048,   -1.1505436303145644,  -0.9559104468930241,    0.2154676081694518,   -1.7946297698223166,      1.299771273733494,    -1.8393303768723048,     1.027236101587867,   -1.7152451154909274,   -0.4880005945925913,  2.010924269981941e-2,     0.5514547863387883,   0.14375512043862348,     0.5866884662842624,    1.7788228832698043,    0.365871250842193,    0.3702426917474016, 5.102026624830026e-2,   -0.7324668640547362,   -0.2141009784304474,    0.27754169063517237,  -1.4227115232453185,    -2.368261726328558, -0.34951014112485534,    0.9838802906515027,     2.3134338735997164,    0.4278467209475315,    1.1038780186353847,   0.9930080916602845,     0.299933586665614,    1.6748949338690666,   0.2319958686522705,     0.5626701346588869,    -0.3879583062363815,    -1.5958953000858105,  -2.1122413202645314,    0.9211728978481886,  -0.1315939270889048,     0.8217920255965956,     0.8591152876516079,   1.3146200377280863,    0.9299233947251145,  -0.6726465793302452,   -0.320047749630805,    0.7947639008545714,   0.3478889022718974,     0.9600655905461769,   -0.4154871809495795,  -0.5898316977217131,  -1.6149279192421022,    -2.569621687793716,   -1.8294366554075905,   -1.2955769588514683,  -0.23214818920087538,    1.2910405683614006,      2.592308196218277,  -0.23435663911342777,      3.21667408355852,     1.3737800616162537, -7.01565344100231e-2,    -0.594975835839204,  -1.9894064498026762,    0.6633373438843622,   -0.3003211762087315,     1.3050828901115488,    0.7282003781710266,   -0.7061539158658029,   0.15444648747940398,     0.208367602766756,   -0.570005755872226,  0.32201349900879866,   1.1620493817834234,    1.1361187305945728,   -0.7767841317231359,     0.3090082383061248,   -1.2583111069069677,  -0.2797392300550579,   -2.0330316738646736,   -2.781146513037334,   -0.6119593760105556,   -0.18769533995514565,     1.607294525800713,      0.55788423548927,      2.123355369702317,     0.6730980812255037,   2.5227674867396934,  7.806199607141766e-2,   -0.6392655574618118,    -0.1053047318879546,   -1.3971258581059425,   -1.2020012240892564,   -1.1260815500190482,     0.7707997985981688,    0.8811694262012283,   -0.5743401529418005,   -0.9107271326821667,    -0.798855625792059,   -0.5159386750069688,    1.140955962393619,     1.487752103906089,   -0.8868690029118694,  -0.29367194882115555,   -1.169385602062383,  -1.9265011062777686,  -1.3251379998751578,    -1.083064801581724,   -1.2961695591228086,     0.410855541315854,    0.5696687610420403,    1.4763073393406843,     2.354760574743523,    0.3396812199366407, -3.7066814288231734e-3,     0.1791944549849142,   -2.705229018863381,   0.6272299019409461,    -0.4098526055398278,   -1.8670653084758901,    -0.7602740311919292,    0.8780554125199316,   -0.674788287308722,  -1.7981795576527844,    0.783310239108845,    1.3613191258131747,     1.1447768997575494,    2.6762561970601295,    0.1710095622335963,    1.2530701152636867,   -1.1748373784342871,  -0.11566906503814552,     -2.316599435976589,    -2.8633145372652784,   -2.7067904025003706,   -3.3580227899162978,   1.1726211512138545,  0.3604946364185717,     3.3881489855898743,    2.4525589375469137,     0.4942536484072517,      2.318373226667817,    -0.7177708210289917,      1.031719361798399,    1.7516712868319446,  -0.5165893994575359,    -1.7804437906311459,   -1.1670536715731625,     1.4216442448229265,   -0.2719979068194955,    1.1991094888965035,    0.6871658624339251,   0.33488834736853673, 2.6524731255426006e-2,  -0.38592586053960576,  1.3235319363795938e-2,   -0.5392174552309155,  -0.5777227165843786,     0.2641077332213688,   -1.0241449653511654,  -1.2250057148380602,     -1.852103451916715,   -4.259921519934833,   -1.0216652924258354,    1.1541701224880354,    1.9017956986544546,    1.3704396735937507,   -0.7858091322714333,     0.9176171396487776,   -0.1904304759313668,    0.5764699769801398,    0.2725948030462942,   -0.4194383562248303,    1.1083111508347097,   1.5094377974740996,   -0.16027659785188025,    0.9893529275703159,    -0.6649658034687643,   -0.6933309660536034,    0.5336685910094935,    1.9391480201800892,   -0.4492151471840415,     0.6143537296564768,     1.4064685137096045,    -0.5778624814268747,    0.8056704514471501,    -1.8341912130323343,  -0.7064590008079505,    -0.5889780636009138,    -2.709246010117369,  -0.6191120470274122,    0.488631946508203,    1.1071936489661613,   0.9862352299003369,    0.3775072892540508,     1.5269374268897618,  0.21860473373201947,      1.116817341887041,  -0.6009856699099937, 3.2170857015774226e-3,   -0.6618059942493085,  0.16301534352530592,   -0.20679384456984778, -0.26396597132974503,    0.3036203294707515,   0.3683540621571659,  -2.7807693130196736,  -0.9437694233254167,   1.0337929346165209,      1.223315435043237,   -0.5602176851155298,   0.25526219006254475,   -1.1879796607542932,   -1.141219415554575,  0.10985449619557452,    -0.535342048497222,   -0.44892951720774205,  6.467570637593674e-2,    0.9739267257588459, -4.344146759000928e-2,    1.5303236713786044, -0.16828045784315096,   0.4209670776055257,   -0.5228365403703703,   0.41368864872976907, -0.10784730285290631,   0.5556068209442918,     1.121161215235458,   -0.43401883077094944,    -0.853067836879807,   -1.0726778731289222,    -0.911744498062795,    1.4923785178814113,    -0.830946534071882,     0.842421980297135,   0.9031424649933237,     1.8476821018158593,  -0.5195615384438187,      2.287433103859667,   -0.3965726805838297,    0.9204159923782861,   -0.5172247470929513,   1.3929113390725576,   -0.705587216755853,    0.3478227308959946,   0.45938029490558835,  -0.5066227896987554,     1.0603378081597665,   0.15146987760790326,    0.7323779471000604,    1.0751651723184128, -3.7824779735541607e-3,  0.10132785210876384,    0.350697529900755,   -1.8221244208429412,   -1.1334761131850446,  -6.137700732906001e-2,    0.7171364304119846,  -0.2630117695426118,   1.1058334373407785,   -0.3693547393926606,   -0.5187601495671141,    0.4059566034391222,    0.2897867085929432,   -2.642906371325597,     0.6053528329950545, -0.3012150540688974,  -0.33776362620015665,    0.48090160817870353,      0.422483866045168,    0.5258854631137132,   -1.164817498018745,    1.2403195932819004,   0.33564937725269794,    0.4863566183692915,    -0.467236069736441,  -0.4054019276283465,  -0.3741288395497023,  3.672093650114845e-2,   -0.12405751010639994,     0.4128101640210671,    -0.9845189958386127,    -1.098162052035534,     0.7714364975574111,   -2.021791382760942,     1.4869365852330922,    1.105592204654317,     1.5077409190457063,    0.8091190071762662,     0.8015921378812642,     2.687802011102682,    -1.7403274839296983,   0.23330107102023012,     0.6721672580881007,    -0.620513474780273,    -2.021286298709581,   0.11416277004125544,    0.2645216185375069,     1.6171718830684534,    0.4242677705001902,     0.3721277755160502,     0.3114394489128575,    -1.453520922258012,     0.3180773860708715,       1.45343651852282,  -0.20542210099576916,     0.898422543431035,     2.0012193419575026,   0.18651002683768844,   0.33106219404081677,  -0.10778702678262754,    -0.4141906617349011,    0.6602169976405204,  -0.8789381216607226,    0.4469730870809195,  -0.3225708376080067,     2.305069084501077,  0.41138852347147153,   -0.18049115153695022,  -0.15060355489153462,  2.1424098548569947e-3,    -1.1763907820183968,   -1.0124736250227062,   -0.38666470062541264,    0.9828964469638162,  -0.8748050654127645,   -0.10910704560361889,  -7.129874253137215e-2,   0.8792033630868411,   1.6478487987299344,    2.6687011443946957,   1.2906731775341562,   0.12166650118832567,   0.6229583317566448,    1.2067280501944049,   -1.0844577235227424,   0.47805417820313356,    2.7999732954192043,   -1.8890355380237305,   -0.9299794559491213,    1.0267775910579884,    0.6799649376858504,   -0.1182239077271491,    0.7663607624819616,   -1.4090265846613732,      1.056460504789116,     0.8212283639238013,    2.9749859681456474,    -0.2833525979805385,    -0.5759577003557435,    1.2548806315121748,   -1.4315805957326495,   -0.9673775948957402,   -1.267766784812053, -0.31217753335909443,     0.9314857206625557,    0.5267771897025547,   1.1680394215549013,    9.27773933332019e-2,   8.213517796061559e-2,   -0.6498255623489004,    -0.7217195575771136,     1.314968238134306,     1.0071516922090091,   -0.9797888295646985,    0.5458053086854984,    0.6704920785653815,   -1.3572490564300106,     1.316049399948555,   1.5990678955256328,  -4.143050574904888e-2,    0.8044633634171959,   -0.1691870956403374,  -1.5185742164659333,    -0.4409229151205644,   0.31485122780342506,  -1.1843758801050168,  -1.1475379747904983,     0.384256900340002,    -0.8191102706830816,   1.2351762799217947,    -0.2198166589374156,     1.60287473644911,    0.8540013744320099,     0.3006444660629755,    0.3833941034289857,   -1.4896438960851672,  -0.5452286661112863,   -0.5049493067027446,   0.10013570267100222,    1.0346031625748073,  -0.6870020222839301,    0.5017533612402295,     -1.53548465101535,   0.32546539078666725,     1.8568009229361777,    0.9582838618301133,     0.634530227343304,    0.2205857543784662,   0.4634556731892969,    0.8452359487338601,   6.761382646818545e-2]
+    ,[   -0.5833434501162779,    1.2213926825168584,   0.16162922648453634,   -0.5309783057319956,     -1.93644781555516,    -1.2474400277611881,    0.6353122200772259,   0.20641315925559878,  -8.857068104008322e-3,    1.0591553526453548,    0.8261963219275121,    -1.4213164266646152,   -0.5871822060831797,    -0.553510557448766,    0.2511841633440859,     1.752855377368545,    0.8564609939695391,   0.11395533201659606,   0.12243786329144428,   0.6730512224906406,     -1.516670810426664,  -1.2761776859469898,   0.9071871011734423,   -1.3912698358027968,    -0.7894027820370135,  -1.8889708269611236,  -1.1626212690287745,    -0.6115446030301538,     1.0299556604264664,   0.21137036377949323,     -1.117569915021876,  1.934759476298215e-2,    2.2545216296541404,    0.38247245399493845,      0.71774726048269,  9.360222497050608e-2,  -0.6003221952452876,   0.45223289028510183,   1.0284791622485734,   1.6589045943089378,    0.6078688856891585,  -1.2241745594209672,    -2.5861349609518536,  -1.2205916308125224,    0.7721456199664405,  -1.9460236416815615,    -1.492964862803902,  -0.8032947371409357, 4.5874940735536156e-2,    0.8340026705091672,  0.11015022116249977,   0.29714105869288376,   -0.33057967804446714,    0.5218921854130588,  -0.38861477150187934,   -0.7416393125748206,   -1.5263101008273583,    -2.322836933121136,  0.24772606253680626,  -0.7476599516092152,    0.5152836572598254,  7.553157624736903e-2,    0.3376998281751174,   -0.8899152988088246,   -0.9190585130221235,    -1.3838035965768465,   -0.4241150337509859,    1.5948025459003585,   -1.4783239067882545,   -0.5993764668407963,   -0.7087069273452592,  -1.0438374256636553,    2.009547315600286,   1.6906197674048213,   -0.1184069973886408,     -0.912415651346765,   -0.5189647923775352,   -1.7386982015792414,   -0.9008599501107666,  -0.4593405444443188,    1.1255313888710832,   0.37478566031284466,     1.5870917515284837,   -0.18689836017344524,    0.9517058207573122,    1.0472130671296684,  -0.34801829005530005, -0.10875888588154084,     1.044866091547283,  -0.3858041511664959,   1.2624947141074956,    1.478745694456858,   -0.39760087776928044,   -0.6080269443975803,    -0.4385921733124623,   -0.5739974877417451,     0.860818427328351,     0.7207802665933891,      0.912153655082822,   -1.4039563469104281,    0.619435774436496,    -0.8030131410534705,     0.3505111566079959,    -1.1949514581752967,   -0.6707823161150002,  -0.6344009437179285,     0.3271367228938923,    -1.436127766289381,     0.1798681033031879,   0.13695883915278498,   0.16387900038988093,    1.6391541427263057,    -0.8760239508169974,  -1.4168929598421376,  -0.21802159546054367,       1.10190961584327,    0.1282390205116738,   -0.30278520999168135, -7.1367950137238585e-3,  -0.11099741664444417,  -0.18709859762760794,     2.086183449172764,     0.6363407516241437,   0.7813605495946199,     1.19356084256677,    0.6126807058084842,     1.271444407315017,   0.7524087629620555,  4.307830993818532e-2,  -0.5189215684955681,    0.3866813395548348,   0.18497717000702427,   -0.3186144003602261,  -0.4580868315966276,   -0.8858435825816603,   -1.2968859299413664,  -0.8096368908607927,    1.8030940849479513,   1.7510499888599005,   -0.2577718822818588,   -1.0288671579249082,   -1.0652589815556184,     0.5403580812344717,      0.231856686941169,    -0.1606220578986089, -6.3159727795256675e-3,  -0.4243886698900972,   -0.9973616567736945,  -7.353481342977959e-2,    0.9928735095058794,    0.4940668496226387,   0.5569420248911715,   0.17846459307083581,      1.662528684912831,    0.6143512837678077,     0.2236347012059639,  0.3018510280625923,   1.4174842825898837,  -0.32975065884807053,  8.94848044630702e-2,    -0.823469570921578,    -0.6715317403236609,    0.16391934165040736,    -0.601517618779079, -9.836433557811652e-2,   -0.5116911039438728,  -0.17234768791562785,  4.337820125263382e-2, -0.11501359688892378,     1.150280071374403,    -1.2440744121408265,      1.06696238414277,     1.8286743504278467,     1.349755144339247,    -0.8153571189046451, -4.800491038082058e-2,   -0.9265668177580078, -0.23040130420945773,     1.3267995444280225,   0.3697702848439143,  -0.6621796339035817,    2.6815339533714924,    1.209525680578213,     0.5861629760241238,   1.4773686965713566,    0.5340743502782173,    1.6471459972722367,   1.2657926893241673,   0.31219915574118323,  -0.1238798434778395,   -1.1563238112496748,   -1.603141471962529,    -0.7431660511969767,   -1.4745531339073104,   -1.9444451240896627,    -1.677380685550451,  -0.3081755389336754,     0.7788994855288793,   -1.3620089965167872,    1.1062700778420085,    0.4125809009487532,     1.1781406263708407,  -0.7411589714781252,     0.3708612484290206,   1.1498642388377622,   -1.1483095233683391,    0.6209848663781523,      0.627145650761257,    1.3150061870964826,    -1.1109123841782451,    1.3795020728472887,   1.8960208544327952,    1.9174702479699024,    -0.689830246735616,  -0.6834667054446055,    1.3547819597098283,    0.8888541009011635,   0.8358156251005415,    1.5970357771910062,   -1.4480586612161421,   -0.9718459396316007,    -2.4179049025381123,   0.27065220085390096,    1.0417141861068375, -0.13936073243655048,    0.23516161446118472,  -3.798102366814862e-2,     1.666255280429787,   1.0594022958019624,    1.0031311063589925,    -1.2847739274590702,   0.30323167480604557,     -1.036553242530977,   -0.7704883119552332,    -0.8639484948580389,   -0.7598720491481841,     0.3552629913525379,  -1.0416452245407761,    1.4858960682487696,     2.473866122457093,     2.419114403238122,    -0.7576186583297092,   2.9100653449289844,   0.38763769692221395,    -0.2153884124103907,   -0.910660437519285,  0.38775547333888744,    -2.638191771634036,   -0.8422538848097806,     1.1744449766113807, -6.227914380567315e-2,     0.6716011188301558,   2.0111952613099615,     0.443444850237249,    0.6331596453148904,    0.2677189766547575,      0.809869333730682,     0.1686753936108123,    -1.4302604059796904,     0.731706321778367,   -0.13802217423087224,   -0.6042490953820369,   -1.4400593519743017,   -0.9831276522877952,   -0.7169980109167758,     -1.395391645651543,    0.3646624872612342,     0.902711583229723,     2.041152302762513,   2.3234781756349583,    1.0464418811359053,     0.5786343346091732,     1.555712111951424,   0.10542637027287531, -3.143661864456018e-2,    -1.713721997655743,    -2.1259547164127013,   -1.3705993944337205, -0.42710026352530805,   0.4290059991473562, -5.886226769353332e-2,    1.138605995349177,   -0.4354276818114245,   1.2972021040416393, 1.5678074977766833e-2,   -2.0670511445053212,    -0.7557508361507436,  -0.9756606084774667,    -2.1248058775274834,   -1.7156608596349365,   -2.7263507615252616,   -1.1770918448083414,   -1.9123860233366745,   -1.890032232253767, -0.7954776139616817,   1.1832977037137733,    0.7150109053818733,    1.9584301090175984,   5.853507294166161e-2,     1.430635661681133,      0.772344715388099,   -0.6587849211731978,     0.8577004824635573,     0.7081130958058528,   4.806899854500871e-2,   -0.4136003032255548,    -2.2028416778592153,   -1.9119685610194685,  -0.15028241526215896,    1.2571162381638674,   -0.9632443860461506,  -0.3203264949316994,  -0.7681360049111083,    0.1761280627712886,    -2.71470656949561,  -3.7508412843583603,  -2.3147774554814657,   -0.6526282313268587,    -0.7395315224249922,    -2.347698020932664,  -0.20034683076715154,    -2.2075612355639143,   -2.7863711623667133,   -1.2713202245947868,    -0.4510109866199018,   1.3640328143672087,   1.8275656013700121, -0.16703746948666093, -0.49462020106835236,    1.8153859411364452,  -0.36395620112174015,  8.704153924025133e-2,    1.0261572758830757,  -1.0398929141319515,   -0.40720672508908706,    0.5940802381209279,     0.6577591073460023,  -0.4043545509209769,   -0.534581069160112,   -1.5566315244829017,     0.6988480588193645,   9.462479069037757e-2,  -0.6120674636657001,   -2.4489627582491975,   -1.7393244100858853,    -3.509501704992657, -3.3807412031092415e-2,     -2.928556407839493,    0.7349698601844593,   -1.952254065444001,   -1.8126414707724823,  2.6990780499433074e-2, -4.3987034030340974e-2,   -0.8790023078993516,    0.5969745043158436,     1.3598415174912897,   -0.3401448214778704,   -0.16846536773445941,    0.7833280492978232, -0.36397413217432645,   1.9039336590446034, -0.23391061486138595,  -0.10883977929980651,   -1.4733691814023082,  1.7430989784809232,   8.88274834879465e-3,    -0.7628877356116398,   -1.1948795053851486,     0.5267649114517631,   -2.7501191939103173, -0.40808885107197734,    -1.3642655418991678,    -0.8002185935263812,   0.5981222238765446,    -0.5809068463885344,   -0.6568750098809535,    -0.5534201029839755,    -1.3369284319083896,  -2.4593547476943574,    -1.6636232842403385,  -0.34824459666489915,    -0.4905323908199106,  0.43503327752046483,   0.7950823212710295,    -0.622411771958516,    1.2240555370120278,  0.46132083509403005,   -0.6013709236755036,   -0.7799735974794302, -1.4551111796778222e-2,      2.096978796848813,    0.8238693853305759,    1.4428057374100756,    -1.156380308488518, 5.7202012275463544e-2,    -0.3668410452390407,   -0.5023877835960999,     0.6628283929258145,   -0.7019161621106513,   1.1845325268324502,    1.0793473226327117,   -0.226590618190513,   -1.4155521525019512,   -1.3744417266512357,     0.2266401282072245,   -2.345616603959268,  -0.19432690187641766,  -1.8142677648265384,  -0.12748527446896146, -4.5745252012389805e-2,    1.1948397763687986,   -0.5247098510481358,  -0.3440588452837408,   -1.2044586495678613,   -1.6524994055626898,   -1.273151908958847,  -5.993186821470052e-2, -1.1451238630130206e-2,  3.3005483272066816e-2, -0.15042180314449552,   -1.1866863301289456, -0.32821902016737065,    -1.0776885835947976,     0.2735620642129469, 9.983610878336727e-2,     0.812020304376211,  -0.5123100898822828, 3.215918733281206e-2,     -0.73589382257894,   0.7230473656342936,    -1.0490943407848974,   -0.6736006164190396,  -0.9485131609611623,  -0.7939039499029933,   -0.8772080450492881,    -1.920112877869114,   -0.3838985035662147,   -2.0056652924548466,  -0.32157839531054777,     0.4886178535964108,    0.9638432965828327,    0.5639204451858907,   -0.27974555760926934,  0.39193593750890876,     1.749710246935034,  0.25795790354507225,  -0.21582373536070576,    0.6311601494890322,     0.7623711530495064,  -0.12052117256068606, -8.286983572019162e-2,   -0.8897515920523916,    -1.378843661658849,   1.1392753472739898,   1.7749340044113018,   1.8885956742016112,    -1.168784753920604,   0.18713421612577189,     0.8251528675105881,  -0.46688471083900895,   -1.829083632260964,  -0.26128328539135176,   -1.501519842221889,   -1.4196204571228033,   3.836215475605167e-2,     1.104680938588152,    1.2398733752489004,    -0.7643653498856687,    -0.5347906280952963,   0.4714295943952745, -8.631225715503808e-2,   -0.8852729805151804,    0.13712384516102272,   -0.7482686061428008,   -0.4852744471091122,   -0.2622965946168394,     1.5904100001006054,   -1.3178229733714646,    -1.277344064114789,    0.5030427375991416,    1.6074904895266473,    0.9473113522421285,   0.8444151644722674,  3.112848717968065e-2,   0.11875804726826562,   -0.5202371410599296,   0.8844270129202971,  -0.9410304678693865,  0.36384228204170665,   -1.2624102201261713,   -2.0046291550646984, -9.114896436662474e-2,    0.1422428634824998,    0.1809224515752209,    0.4194736904179446,    1.4139257240334147,    -1.4790101946257654,    -1.9592304318462208,   1.2106628126901249,   0.1861437364683927,    -1.2481712797266695,   -1.5437145242125516,    -1.3045275860297578,    0.8621461761914618,   0.5432372210905932, 9.642124066959683e-3,   0.5364953670997428,    0.3688762565075253,      2.268803302025376,  7.126355856340566e-2,  -0.16348116403232033,   -0.4685433157681623,    0.6446014431668342,   -1.7065997763915228,     0.2784897048873901,     -0.741838945961046,   -0.9766314593713082, -9.472707911174146e-2,  -0.4843112412343394,  1.1232670807502854,     1.0938118535544454,   0.49034669950520876,      0.305460609238947,     0.5359175627398974,     1.5882314988733408,     0.8195748238315804,   -0.6776542331070102,   0.1331916762620046,   -0.15542116722374905,  -0.20565072368056123,    -1.4290228491533825,   0.31794026206090786,    0.9004607621336267,   -0.5078840082882567,   -1.8206352787267701,   -0.9223004921868357,    0.3327612253144899,     0.9297868347531845,     2.354662272472921,   1.0355027167781947,    -1.4269948672893424,    0.6769777295378733,   0.8150996573257827,     0.1637566743148203,   1.0019680642726323,    1.4263377181834311, -5.613658809424203e-2, -9.285659026738521e-3,    0.1440275191506472,    0.6101861742529261,     0.4536904890332777,    1.5658367319250375,    0.4529537002496445,    1.5397504085034628,    0.9825477737330441,    0.7362282021388755, -0.22292310796574916,     1.0669616617402022,    1.7365507676014957,    -1.1385380617633813,   -1.0656500346764601, -2.354691756686718e-2,    1.9850963022872128,  9.729685482229627e-2,     0.6279913876449982,    0.15252542491201862,    -1.6088541291656773,  -0.40871684951294307,     1.2084564100753892,  0.15798692669217382,     0.3809301130299984,    0.7642763242012838,   0.7877809217720123,   1.3017231887722993,   -0.7810621525243517,    1.576662600697027,        1.193812921137,     0.5405491849698582,    1.141341405789693,    -0.6422027236318462,    1.263751793341702,   -1.6309728224818278,   -1.0373252488527467,  0.24585742065996363,      1.556219314482378, 5.349979135093356e-2,    2.4095681277834826,  -1.2994208430732073,   0.7629606028157391,  0.40037118002401634,   0.6775546000199911,     0.3473121353090157,  -0.21337433246341556,    0.5391649483199258,    1.4181932933595578,  0.40665300928508713,  -1.1037053491699311,    0.6357516469300422,    -0.6431525340688714,    0.1601050873729064,    0.2788556681056176,  7.563433056260417e-2,     0.197654073465528,  -1.3782160350174342,    0.837340155554862,  -0.25693501154719406,    2.1034602352755667,   1.1565005780565794,    3.353721243563105,     2.211726795596267,      1.061919982737219,   -0.2336416381266773,    0.6111272415886497,    0.9174226504820604,   -0.6817780712324022,  -0.14080733409536136,   -1.3267370052392724,   1.5087073033020069,     0.5483293504612922,  -0.1440549508199424,    -0.3124258395390023,    0.9897596709732789,    1.2832283344410589,  -0.14551657134791054,   0.9193197849413944,    1.287838442755981,    0.4557270458399117,   -0.5026356778166399,   0.4142322493261549,    -0.7297575487796107,    0.6327604805867328, -7.639014160505085e-2, 2.9731985451240086e-2,    -0.9060843217435769, -0.30303612311130323, -0.42837685931281866,    0.8739605574702808,    1.0249198415754481,      1.509936570265429,     0.301532773669906,  -1.5510881668824321,  -0.1680425056618208,   -0.9045194860213795,   -1.9359266338936412,   0.17859427301109826,   0.14590286268888122, -0.40572117602829055, -5.0178652348979925e-2,  0.5800714764584786,    1.0628090501615963,     0.7212022436596395,   -0.14760969605559943,   -0.5239684573768189,   0.8238761587344694,    0.1217243435545234,   0.32269950520800417,    1.3838670908875634,    -1.540066768046303, 9.347290218432282e-2,  -0.3432744377111791,    0.8891204469623215,     0.3461655447970397,     0.9132888566071632,    -0.5775713273906966,    1.1281225926140075,    0.20123737069567885,   -0.945206431106106,     0.6001250037944802,   0.9212673489319908,     0.2294249196378132,   0.11427910183030504,    -0.5759844943480885, -7.123429195453469e-2,    -0.5798657884653052,  5.682593998851909e-2, -2.4818680830271268e-3,  -0.22406903768663589,    1.9260843485873502,    -0.629139339723295,    1.5965400026212744,      0.574840244989204,    -0.718708914600141,    -0.5700654731903337,    -0.5813680153095057, -7.960446562677163e-4,    -0.6221295629715713,    -0.4816058087567138,   -2.0864151464443843,  -0.38398805550592746,     0.5735161073534495,    1.0310331489468738,   -1.6017617705611842,   -1.3779703973633228,     0.5178390285126676,   -0.4314025533328218,  -1.0324105253642382,   -0.8965729997023061,  -0.4292626182343712,   -0.8347757809437923,    1.075687779891321,    -1.1747241630745018,   -1.5605235417933876,     0.4055112903862894,     1.1375552674127543,   -0.5690195819905638,    -1.2705579803375309,   0.47184172872821867,   0.4026588500293611,     0.3131919688818149,     2.0500058177381515,   -1.202957019812213,   0.2408681853372787,   0.24240427325011377,  0.17474680783032423,    0.2675708783875284, -0.43813990895131344,   0.41714085252986066, -3.450716081663557e-3,   -0.5368535621060082,   -0.6032069954632727,   -1.5196207196422142,    0.6982679755416576,    -1.516844704745289,  -0.40295329577091066,    0.5218298409417896, 4.9010904097621565e-2,   -1.0541282793937603,    -0.5015985430609611,     0.2525056484118553,     0.193222963791104,    -0.8084302231268661,    -0.5544995852565896,    -1.162510301237676,    0.3862804915207585,     2.042161522003252,   -0.516733239326009,   -2.346057562160042,    -0.5203085298355675,   -0.8920979267904906,  -0.6557275228597368,      0.673824801504823,    -0.8849287437798777,   -1.5445319610233366,     0.8358489595947282,   0.35746028296663673,   -0.18642125197243875,    0.5833870012389182,   -0.9608854450707924,   0.47713740988080994,    -1.088335893059847, -2.385339396626217e-2,    1.254930581227297,     0.5131868904168307,    -2.331085310781238,    0.9415214518541704,   1.4207865447691885,     1.2300352995390345,    1.2649409877243956,   0.8192565319329336,    0.940435548795528,    0.2874258608822746,     0.7247509223570727,  -1.0551796252966787,     -1.431098122468749,  -0.7628962478592147,    1.3235579548769674,     1.4575495777645726, -2.721859076214861e-2,   -0.5919615598045028, 7.277516351398997e-2,    1.2326988129497503,   -0.7865950052938064,    -0.953109984385515,   0.5895682247514216,    1.0150903326343739,   0.24496347904281204,    -1.425398061634206,    -1.1098721894261891,  -0.24872993218499978,    1.1274895522170307,    1.2072459470341739,  -2.1684168073066887,    0.9497866692166417,    -0.9537215686686269]
+    ,[   -1.0905292357642735,  -0.38097953557272174,    -1.296869171153941,   0.10768692291264395,    1.8764663102491759,    0.33485746857214704,   -1.7518790818794379, -7.099293669080305e-2,     0.7717192184859009,    -1.205800642676043,  -0.40871250198896797,      2.551939366291818,   -1.1663211478542916,   -0.2911214563763897,    -1.959529113148509,   -1.2869928970507964,   -0.9185967282435968,   -3.1345470292282465,    0.2395267898441659,  -1.4600206100974669,     1.0138572767947684,   0.8763792217757604,  0.18083129051082578,    0.7785627105300682,    -1.0017028619772104,  -0.7776543370248966,   -3.029373940181082,    0.25352263402623576,     1.4912446626455917, -9.641290929836596e-2,    0.36575103573039447,   0.38888039322597534,   -1.7202206933555615,   -0.14203341405606673,  -0.37865379022144025,    0.1166246949910846, -0.17890760399011404,   -0.1156749145517864,  -0.4854234034931167,   0.3820057201685666,   -0.5567837343747757,  -0.7993355580752649,     0.8791407900451178,   0.3457776112505435,    0.4080465338719485,   1.2785765862311163,   -1.3399118009105462,  -0.7999207943215131,    0.5130684999361672,  -0.25318171309091736,  -1.1650042326087184,    -0.515554410045563,      1.030609036585247,    0.3819598661380607,    0.3100075438921748,  -0.27466027522620207,  7.169523871339652e-2, -9.430725608789797e-3, -0.23565633087755958,   0.2884341036805947,  -0.25375322327538635,   0.18928036469008727,    0.2018014467089995,   0.44910298204936466,    -0.688760519809026,    -1.0925280608027028,     0.290280678983074,   -0.4854135434354143,   0.45426970650572596,   -1.5062358736685684,    -1.355750086440426, -0.22687164153903838,  -0.7138703946150391,  -0.6829163693157562,   -0.3747340359120483,    -1.0905337961217048,   -0.5178422161706862,  -0.21819512682375636,   0.42781941545369595,    -1.52693031245091,    -1.126174114213859,    0.8369744321858176,    0.22705389395670658,     0.8414082626852918,  -0.23141699905141125,   0.14349775081076727,    -0.507907551161242,  -0.6464999948628972,   0.19933866114267118,   0.8171811559305744,  -0.4023523757929321,    1.070827372891299,    -1.2731004945609565,    0.8481379121646322,    0.49196404263307014,   -0.6727399958354547,  -0.14249171378754868,    0.35717436526423973,     -3.196324807745288,   -0.7986248171186271,  -1.5705429874531862,     0.6423189863026997,    -1.1953099492380916,    -0.7985432314839281,  -0.13888738032057624,   0.5543363742623607,     -1.860888385743041,   -0.6872705448415928,      0.670373435995702,     -1.22956865864346,   -0.2583555095095871,    1.3786932531675586,     0.3872314164871135,  -1.2572823044601154,    2.0149067284635596,    -1.3091724679391976,    1.5423900793278456,     -1.245016321652583,    -0.9514025300696518,   -2.3388406579851067,   -1.5004917711173154,   -0.7241000722828578,    -0.9832099422942719,  -0.8208253740763757, -0.43697257670762624,    0.7802998889174022,   5.96308047071993e-2,   1.3021360128537667,  2.786940837637806e-2,   1.2400591010556266, 2.2307362127686838e-2,   -1.7793921266529464,   0.18374592976821025,  -1.7762944352014385,  -0.31119374734440564,    1.1842332316311668,  5.62797910824625e-3,    0.6154918174785826,  -1.0695345539721683, -2.414422471417989e-2,    0.5462261704671888,     1.286328756523315,    -1.3206713242375403,    -3.7770898677623195,     -1.355522588339005,     1.0445011946172138,   0.6042570128071567,    0.7598557328110639,    -0.3207669007949209,    0.9768756681064648,   -1.4308694152738952,   0.3614097925978953,   -0.5503587784587629,      0.639540339408778, -5.977382030144069e-2,    -0.9801198249615436, 0.16244603811907068,   0.4051343407887486,   -1.3563354532961773,  0.12966637224676578,   -0.7418297872632017,   -0.21670066698084148,     0.9790919196393953,  -0.21545649354781424,    0.3999507837205344,   -8.8486860232129e-2,    0.4266707081867974,     0.333462353175169,  -0.4841010537503926,   -0.9689688538296624,     1.1918317324450658,      1.55630707666077,    -0.8513698267250525,   -1.5919642061735984,       1.60252245810432,     2.009893001300308,    1.3694501989483774,   0.9110576340105566,   -0.20187058940325256,  -0.2659515396888109,   0.5257571233025691,    0.3810651935202237,  0.11142318754763868,      1.675505262115921,   0.6301867184943303,    1.3407717797308776,    0.9379059284467647,   1.3325833077540703,     2.315601702311138,   1.3367787031824385,     2.454883950186557,    2.081946315838353,     2.3596160120546403,    1.6505256307983232,   -0.3135861699099353,    2.1725737541491292,  0.20941610451688272,      1.318713739056376,    0.4702585036947663,   -0.3989100624988907,  -0.35279362522888963,     -1.643361032932608,   -0.175242842409127,    -0.4111458083971227,   1.2548405020631483,   -0.4580725949181427,    0.6372855274399631,    0.45578017645996094,    0.5601468548194484,     1.6395162137488084,    0.5969426495041967,   1.9094681445329764,     2.350195607611272,     2.120298913885169,      2.8642016780826,     1.632371741119794,    0.1392001539994557,    3.427484863154839,   0.33430960397381376,    1.0058220197480507,    0.8745955468297458,     0.8964404203457385,   -0.8721270060565912,   -0.5391185580533024, 3.231214827805828e-2,     0.4112334745244806, -1.5638325320917607e-3,   -0.1424249350682657,  -0.8098438049270579,    0.3904672926841675,     1.1920701333023545,    -1.076770440211368,     1.2543229398999953,    0.5226232284229541,   -0.17989640006797505,  -0.31099281304280463,   -0.13345058432202891,  -0.3469120089428717,  -8.13225553069791e-2,   -0.7077855396166961,    1.1896546239854418,     2.6180536143453255,   2.0765510813705217,    1.3439448613993874,     1.4474550011877483,    1.844827929318878,   0.8005548535013863,    0.9879043436753385,   0.18102929258246225,     0.5431398690630201,   -1.0849225663567292,     0.9090675162368066,  -1.1828094705028038,   0.17347187045653942,    0.9154345017047065,   -0.2255706368872288,     -0.335755692721343,     1.3127241542625674,    -0.6567611239035401,   0.19488826709705645,    -0.4599639828404199,    1.4042326499104532,  -0.16287095762584697,    0.4454118188058753,   0.11371399710525891,     0.8946511593262932,    0.2315592528782008,     0.593274626067978,    0.3777464670332909, -0.11302139992358035,    0.3929994415485886,     1.5939194859538435,  -0.20415467067848084,  -0.19980266700882318,   0.20464473161939653,   0.26720192300881834,    -0.5315004358075811,  -0.36456810790989036,   1.0507673712074856,  -0.9650806865077994,   0.27512668528415973,   1.2701212628107041,  -0.18803998170277833,  -0.3096180184374751,    2.2003032248937044,   0.34756616544413954,    0.29015002102310805,  0.19620541418444573,    -1.2551282428403499,     1.101352383183525,   -0.5198118496462836,  -0.16822224976833344,  -0.36279420128157963, -0.11368563794610187, -1.9548939922941384,  -1.7686576838765666,    -1.719153845573813,   -0.8127684488018351,     0.6701445629504078,    0.5988886807848686,    -1.4799621038483721,    1.1786862654511394,  -5.762716889729882e-2,     0.6478138321207191,   -0.27075122648916444,   -0.4753216463388514,     1.6831702578674508,    0.2306410754795344,    -1.148889549751462,   -0.7171400122212753,    -0.763944612342936, -0.47608486485881396,  -0.9616353885958014,  9.390264453561088e-2,   0.9366218360281409,  -0.9020069436508409,   0.8238035745265092,   -0.3892411865804224,    -0.2931068046187062,    0.5930684031261634,    0.9018064236779916,    -1.9550888968423175,   -1.8312418231765673,   -2.0003645710488223,    0.33391910914368345, -0.14760639251146068,  -1.4210926758693394,   1.4173154361091322,  -1.3517537434237252,    0.8353055151511429,  5.947986121387745e-2,   -1.1197785144365366, 2.8640991175841506e-2,  -1.2400428963666545,    -0.7705278397220126, -4.236232297195515e-2,    -0.4025370189428171,    -1.23000134043936,  0.22270865792696967,  -0.41782240861800896,     -2.294537140398899,    -0.5703671487157941,  -1.1469033368448867,    0.7115227128968356,    0.3563157473432161,    1.4664794856864574,     0.2717975463438463,    0.33095916646153867,   -0.7829770365126214,   -1.095189007776857,   -0.2992296623809471,     2.2472204721823457,   -0.34967155645492354,  -0.33698651320511264, -8.391675258967456e-2,      0.587403096852219,   0.14367203158773537,   7.368385225343582e-2,    1.5154341628264336,   0.5274494907785142,  -0.9057501171463219,   -2.283487645939274,    1.1252909242766562,     0.898156980541613, -1.3192006880364617,    1.3885154582902042,     1.0680067927896497,    1.4238310452875842,    -1.2186386576728896,   -2.1146860220117367,   1.0626862957765522, -4.6655937299215376e-2,     0.4559808582156014,   0.5077757250515309,    0.14571458587346753,   -1.1103212204729425,    -1.1854210783309522,    -0.4207005359029006,  -1.5173347121822427,    0.46069774059445123,    1.0605425185262023,    -0.5593163582810503,   0.9748811550573688,  -1.2652981718515999,    1.1819686722225275,    1.1621126243882638,  -2.3597629147280275,    -1.391162649104194,     0.891859770176647,  -6.397698948477988e-2,    -0.5244525143698991,    -1.037566702360581,  7.902831588344218e-2,    0.2239238974519786,   -0.1133821115930291,   -0.29036366854279616,    -1.186406692813022,    -0.5324135581527241,    0.5134204143869521,  -1.1513241103151404,      0.76178704814984,  -0.2200463949607803,    0.7468638436911857,    0.5024873991916494,      0.636129107574391,   0.4592218584437204,    0.6118452903280517,  -0.3345067113720183,   0.17707150305541008,     1.6535933162479655,   -1.1661270555001881,    0.6415925874676361,  -1.1900985653270568,   -0.5681827220423196,   -1.4114465170484223,   0.8389685669918406,    -1.3826611938820152,    -1.8024152247474172,   1.134512697139769e-2, -0.20547630906502665,   -1.4214768135128693,   0.6226506127824988,    -1.5063149829257263,  2.8995254773652234e-2,    1.565003598401135,   -0.7388219299413935,  0.12018236135022302,   1.3298509322614487,    1.7288767656743163,   0.5371281274493013,   -0.38850131816552746,    1.2245731095507886, 3.335127816311788e-2,  -0.6839061215193716,   -0.7010810291602496,   -0.7201433120399147,    1.7387358148821586,   -0.9390870010742999,  6.624995527741477e-2,    -0.8291047710636789,   -1.1641397353750578,   -0.9329032890260336,    -1.2407933906364261,   1.0695640150386128,  -0.26369405804585283,  -0.3728626725225799,    0.5900315465019631,   0.12912013300116348,    0.43412187352756787,  -0.39276147498988884,    0.2798944787697707,    0.6178189978443424,   -0.6536021997207586,   -1.480999470299924,   0.8076325390685021, -0.49812387364565125,    1.3484105459093576,    0.8233872987964646,     0.6561437387451389,   0.32880040913493574,   0.3250261760414721,    1.0418248800354843,   0.8403259932507399,   0.23754555485867473,     0.7933024611767204,    1.1933336248865434,   -1.4539194638097355,    -0.9890063872186208,   -0.16149374392923294,  -0.2723133105903212,     1.108426497763508,   -2.5994705036632255,    -1.2792061028115844,   0.24456564121218458,  -0.23559417695368046,    0.9463395816060892,     0.2433626984185805,    0.7365527760582438,   -1.3013702603959143,   -0.5636241273796609,   -0.5014662932262602,    0.4992170791847675,  -0.6124145209366046,    -0.726937386444192,    1.0583661674290563,  -0.19239357958119319,   1.4793418226121837,  -0.9895027950061905,  -0.8763625416613076,   -0.6593013215269469,     2.253552883828718,  -0.13201054502496953,    0.6743413814316034,  5.368368868769118e-2,   -0.6731520869551375,   -0.3902388117296402,    -0.4009775157884246,   -0.11823453931519126,  -1.5208754268467122,  -1.4695736847964413,    -0.8004270486490564,   -1.0695295519676042,     -2.354742202283647,   -1.2967122549179555,  0.14460107203763858,   0.5216661569242446,  -0.7557132456809437,    -1.107480916147836,    -2.3039351071841323,    0.9704644737504177,  9.619645194267108e-2,   -1.2892265871853534,   -0.5174377462519354,  -0.25125681169847003,    -0.5876265207404201,    0.18720164840585612, 2.9766262562397963e-2,   0.12956871010985727,  -1.1749653111968257,  1.2220045626310008,    -0.6915978423725062,   -2.1651611308526473,     0.2375711960270099,    -0.1763288482532044,     -0.939829384021036,    -0.4184874319105429,  -0.18477844869833032,  -1.2884325284158076,   -0.27262396874952477,  -0.16271725459834657,    -0.7094427353010644,  -0.11660493498341878,   -2.0975459533928165,   -0.5669943150111695, -3.607834622257773e-2,     0.399570879346749,  -0.24857045782878204,     1.8320686262183117,    0.9863981313261412,  -1.0956611215992984,    0.42603030040394807,   -0.6474302717739081,    -1.42164484483628,   -0.47646504543387946,  -1.6340009316633695,   -2.3881289191221726,   -0.8657466175391157,   -2.3776612905414884,   0.11253026821067345,    0.4096873212305616,   -0.40206225121940486,   -0.8727137555269785,    0.8126397658130221,     0.645347547023031,   -0.3365616487201963,  -0.24886528104834718,  -1.4256189034793196,    -1.1821781072453097,    1.0136684304015882,    -1.0338920713880564,   -0.7377438686412556,   -0.6865407677965694,   -1.0202383275740907,    0.7095390782780577,     0.2154392835861162,   -0.38647333338652107,   -0.11357283517882275,    -1.534574822182287,    -1.3107299827255627,  -0.9146389023970121, -4.9447984554172146e-2,   -1.9099271237312345,   -1.182483852008505, -0.21728984276366384,  -0.42648126362003413,  0.49136842217981186,   0.35958435313815396,     0.3564018588004423,  -0.5423634526586705,    -0.7189920550946582,   -0.329988850400697,    0.6786713578084085,   -2.4339768972369904, -0.16216396745190179,     0.7784510728128248,  -0.6921848989813789,  -0.16614491968235692,  -0.3675260563368902,   0.9540353610359094,   0.6714637311613765,  -0.5491836603064553,  -5.934962564684466e-2,    0.3737901924499409,    1.6280711571950828,    1.0540684228644588,  -0.9171210859135469, -0.23778394516778986,   -0.7158239456042522,     -2.118161164827751,  -0.17599570463601444,   -1.0506257534615642,   -1.2038789261324292,  -0.48670394064561767, -0.23997261952593713,  0.28886358015952635,   0.20629712806998596,  -0.33384611803640957,    1.786350907640436,   0.4679102343858094,    2.3709111885970335,     0.8281090938400749,  -0.20872795718990064,   -0.1492951878479902,    0.5667170419544222,   -1.7916379352933842,   -1.7717556016359428,   0.45772482567715234,  -0.3556241543695829,      1.106515717499588,   0.8668564047109804,      2.485130523600628,  -0.17838213301848116,   -1.2700136644397353,   -0.2816321206473526,   1.5248458486789702,  0.10268879306413407,     0.779426101869022,    1.3306535829726345,   0.5890658876905039,    -0.4444688474172678,    1.2438175510558231,   -0.8677422390394754,  -0.11580356355273376,  -7.979461473495855e-2,  0.10299639211707941,   1.2128138663002377,    1.1109008641622236,    0.5169386683548742,   9.689408612626409e-2,    0.7314173211298183,   1.3757993175827268,  -0.6738615878044044,    1.7234435296138466,  3.158345211509854e-2,    0.5550344161934498,   0.43973828567119677,   0.5388192468066371,     1.0051442056503197,  1.7632155905851314,  -0.14941058486864614,     1.6611479313222073,     1.9178456873491905,    1.4441234128556992,  -0.4463352591505668,   0.48638678117142414,  -0.22128357299871307,    1.0624302182194243,    1.5776593252736588, -0.28290631273305283,   0.9656354368442113,    1.6475068062597846,    0.18750766514532585,     0.7522984707481511,     1.8640662428288053,   0.13743032677826128,     1.1514298269695344,   0.9673469758283191,    -1.0374166541039385,  -1.0053316037034514,     0.3454583600476549,   -0.1820884123978409,    -0.6033805981529274,      0.68293177420725,     -2.336041841422497,    0.7462969305780858,    -1.0512350778905823,    0.8457098316050164,     1.218374108389705,    0.7485790194117912,   0.20921251986769743,    -0.5210600343423413,    1.9394430490022019,    -0.5239008242100271,      1.989281562377245,    2.9377598690140965, -2.8001257314421737e-2,     0.9514416406993886,    1.1579334407845392,   -1.0028006383220238,  -7.772525393710128e-2,   0.10302817378036469,   0.26018636452558674,   -0.5154304765414326,   3.715859085192225e-2,    -2.272059246776343,  -1.4926395386825508,   -0.1870837770210771,   -1.795275640716155,    0.9134796910733803,   -1.199086163307213,    -1.1732492621852533,   -0.6954838557520914, -6.1912713146736804e-2,     0.7555154870662562,    1.3874196090449622, -2.1919467389544537e-2,   -0.1516441757229602, -0.17082562675749016,     -1.423118120468856,  2.6467358968365527e-2,   0.7032407782068313,  -1.2038738091113288,   -1.3380588743990913,   0.6253052474306032,    1.1189230874162928,  -1.0878579966163235,    0.8459567593929653,  -0.30953502864430676,   -1.0884678282913043,   -2.4080293609175487,  -6.46556115207802e-2,   -1.1377568404761456,     1.065815794395862,    1.1594546972966127,  -0.22434943041402575,    1.8610412373911058,    0.9731646093674939,     1.4038833484066562,     -0.457960087677462,    1.6176176899074022,     0.7480674307160199,    0.24738127311351987,   -0.4225039554708048,    0.5726898306885961,  -0.37278721541340415,  -1.3835574438454608, 2.451210399658381e-3,     0.6760474604972633,    0.5694504811494828,  -1.1773890773877502,    -1.5556649241996046,     0.6535670078606425,  -0.37403611328911673,    -0.9726253254294516,    2.6144707541004197,     1.4486391794803053,    -1.605551817795905,   -0.2717447166901521,   -1.8330121636679437,    1.4186491694508814,    0.3502790224789385,   0.4111781236806271,    -0.9443182255914848,    1.1851318318976023,   -1.2353448842094326,    2.526537527242495,    0.18133884845254206,    0.9439246101640864,   0.7326183795448153,  -0.7033415392387267,    0.5386082315003096,    -0.3214182999226299,  -1.2705905764714114,   -6.10984778659494e-2,   -1.561538490491552,   -2.7862676316410018,     0.3021119191585655,   -1.0417930620454114,    0.4955077395571499,  -0.6369268427480012,    0.9201997147335896,     1.179642102481932,  -0.23231645108438087,   0.8293178266674783,   -1.0455826911039658,   -0.4794451243703698,   -0.1795192566793282, -1.0562404903162076e-2,   -0.5163384607960181,   -1.5549462307344626,   0.11323226891478716,   0.9624377125255936,    0.1472231322358023,   -0.17650286142797308]
+    ,[    1.3644724177423648,   0.45787741797397163,    -1.160513847853196,     1.356722350128754,    1.1313753457773554,   6.449279005229631e-2,   -0.9528379351456295,   -0.4339093371316165,    -1.3945497423342363,   0.40979230877461265,  -0.14527523210474755,     0.5090646118197713,   0.36677032504912077,   -0.7888154583557714, -4.700594243545143e-2,    0.6338145173007054,   -1.1511107842477222,   -2.1057210415638505,   0.35267176252893956,   0.4668420975749455,     1.1320112745631428,  -1.3375407184235968,    1.598234632086411,  -0.20999800415109537,     -2.260401442929218,   1.6659961903031053,  -1.4389571169214874,    -1.0550983041815158,    -1.0750497101385783,   -0.8993002766635068,     2.4990028976463066,  -0.44665891347126435,   -1.1482821948615771,     1.9629405950793881,    0.8408298614678583,  -0.20835806682754665,   0.9705616459993105,    1.6295553985245612,   -0.844854835468867,   -0.882484024372671,     1.739401646232077, -0.40372983001415697,    0.35686963711676667,    1.439973165733124,   -0.7214182132485324,    0.782067398850551,    1.7804575703852676,   0.5295716103096837,    0.6071303053804513,    0.4066970075739015, -0.30333481592504014,     1.609098447859705,     0.3519809991853167,    0.6328670898330518,   -0.8070640763370692,    1.3986054270153134,    0.1735374107546483,   0.43145973667680226,   -1.776694983727583,   0.7832847822897933,  -0.21315309686482659,    0.5690042510913601,   -1.4358201095384202,    0.6677239748957291,   -0.7113127937896333,    -0.5195451901430145,   0.34348404398181615,    0.9226692636080706,     0.880163755241153,   -0.6701304363205587,    0.3710615470478323,   0.5360362605992522,   0.5195812488379802,   6.0533782763862e-2,    0.1183323894029035,    -0.8296637658925033,   -1.2824745068344217,   -1.2281037756814783,    0.4548840014931088,   0.3646056077143014,   -0.9831557603636724,    0.1964269946722293,     1.9324448107275776,  -6.898957948588878e-2,   -1.1703305691121941,    1.0374068439213546,  7.428619586051806e-2,  0.33647131067874053,   0.19555358637174333,   0.6951340952257531, 9.706922569708237e-2,   0.6088376945596775,     0.3425225223243407,   0.27241943090974263,    0.11956020415715549,  -0.42240934831510174,   -1.3761164537564157,     1.4007378938199402,     1.4812328973758644,  -0.40031026144806064,   0.1115425462604632,     -1.445867855759637,     1.7073048236641906,    -0.8506616239472597, -5.732804596831523e-2,   1.2942668841417635, -1.2144212761802083e-2,   -0.2632588568203843,    0.40278478802365764,    1.3112084839045974,   -0.4206081314502125,  -0.40867692986723536,     0.9586060151942898,   0.8579163921417844,   -1.0512370647766738,     0.2914574293636958,   0.28989322195965406,     1.8511662066198418,     1.6172422476972892,     1.055190129488217,    0.7285640228612553,   -0.1579785050977046,    -0.9665596566482555,  -1.7922828373078514,  0.22738205180076085,    -1.846364036533338,   -1.0344559762484054,   -1.338429892622964,  3.958207447290783e-3,   0.5332716543610911,   -0.6353837055439058,     1.562495338548133,     1.370716330530035,  -0.6668028438885304,    1.1993945438068787,    1.5370891114094125,  0.29327603943484765,   -1.6118275580651344,   1.1223217255167761,    1.2513130298774053,    -1.607861141933608,   -1.7540444162119393,    -2.0662753638769975,     1.2332078537987905,    -1.2850328868151966,     0.8729645233882526,   0.1930031318733376,   -1.1239488138966338,   -5.54864947497966e-3,     0.671828119160825,   -1.4303992748238206,  -2.1960066976221437,    0.4934493361872289,    -1.5818851220647598,   -1.1789470358140994,    -1.1268844498315123,  -1.778611050377812,  -0.7933399416828789,   -1.0329536662526475,  -1.4348217987468388,   0.14716262175131023,    -1.4222475775650143,     0.4558965284951941,   0.15438687331513412,  -0.33531467565895984,    -0.294501986873624,     1.531804026234291,   -0.1034468315730366,   0.2749318364699095,   0.18530757591949917,   -0.30935749400737567,   -1.3023763793503313,   -0.22060589909145184,    0.9297606543038885,    -0.7535535004678084,    1.4363581080481327,   0.20624790176077548,  0.24788495673493496,    0.11419400395754647, -0.39295446094089165,  -0.4168592345095274,   -1.1399961500991587,  -0.6108778666950173,     0.8737972438422714, -0.22380622308544612,    0.4848105478314881,   -0.5543739589732853,   -1.343492830093095,   -1.0185195450132674,  -0.5028103268550317,   -0.7518325130611896,  -0.2696721215864248,     -0.679770070570389,     0.720635270064094,     0.568771379661376,     0.774152898254936,   1.2084108854590927,    -0.8079286320685244,    1.2305519404632634,    0.3003089516918634,   -0.3532488988620933,     0.7545176666604606,   1.8665801994156557,     0.1319350360572342,   -0.624438169251331,   -0.4855741200784981,    1.3982745037579405,   1.672670338091207e-2,    0.7250925323613255,    -0.9292670386955255,   0.15907431673359976,    -1.09223994124157,    0.4273011506365679,    1.0850261463856048,  0.15131546900472068,    -1.211423964506092, -7.349146259691447e-2,   0.8534277636136153,   -0.2151122797395462,   0.21548017365460226,     0.544625503391582,     0.2277977091442329,  -0.30954366629980057,  -6.88496927259065e-4,      1.9168402571491,   5.900557385087558e-3,    0.15622398073528673,  -0.10516440697103788,   -1.689388462387701,   -0.8132174121217879,   -0.10596725512646564,   0.46375362758551397,      1.424393686926817,   0.13940531728287286,     0.2808194953798119,  -0.12710399869414732,    -0.3528032159957071,  -0.5113079681671624,    0.1668144903287824,    0.4180257939930321,   -0.8334394202940214, -5.2325624425731396e-2,   1.4435718177983115,    -0.632297999924559,    -1.0227512267068528,  -1.6671494776215976,  -0.9562916192116672,    -0.937911394188041,    -2.516562564952123,     7.2272140139457e-2,    0.1290154419893095,  -6.533560196595088e-2,  -0.3038895773800305,     2.089868284858516,    0.5732833183610236,  -0.12608337628285976,    -0.2257665041313777,   -0.14269934563467762,    -1.1598514103479693,     -2.23444028636207,   -0.44554664753204665,    0.7937957184778408,    0.2096327584231827, 1.4228715906963802e-2,    0.6507253724815008,     1.3017819010712985,  -0.34593511607634025,  -0.34099244969789566,    0.6984529581492188,  -1.3589321093908064,    0.5909466171039817,    -0.5887379215245407,    0.5435075542970365,   0.49744571673852545,   -0.4293165106076468,   -2.6389280548811294,    -3.5139271782345003,    0.1782867259823445,  0.30413357213921777,  -2.3315735871361087,  1.415459658521196e-2, -0.20280805710187552,   -0.1768171273501848,  0.26910464985837024, -4.498876475332527e-2,    0.1319823032515444,    -0.7371925817918691,   0.3978837590765487,   -0.15748145369617766,    0.5461760128215493,   -0.4408256859663731,   0.38454645319454095,    0.8343176784803527,   0.2549372811691708, -1.3708732882762587,  0.15652960466802965,    0.8439724555209877,  -0.35608686422841695,   -0.41576653638984695,  -0.25148861678534123,    0.46227080824883243,   -1.2714246322965286,      0.637092692888765,    -1.5445068318108435,     -1.389878554377014,   -1.4030160593277035,     0.5915942907695264,   -1.3005544707033476,    1.9515151043266104,   -0.7362244866159158,   -0.8140792079210353,   0.9061754650655769,   1.7870563455079398,    0.1645443540615014,   1.7108943356947084,   0.6327145841677234,   1.2400816691005392,    0.7452120984852276,     2.9724626181889633,    0.7236177897448884,   0.44466999898306125,     0.2883130157185804,  -0.47677557883131366,   -0.2308556305468266,     1.2077705835039605,   1.9875904046226287,   2.0398195271384383, 6.015279289826407e-2, -0.19503211978608526,    0.3101241606277396,   -0.5096875168160625,  9.461834789363516e-2,   -1.0443861868864464,   0.7472376765866167,    -1.0528760224467562,  -0.22522512958718988,     0.6892617629731137,   0.7569557967883682,   -0.482629032534491,     0.572966917806764,     0.9658470451993749,     1.6532642436988105,   -0.671544022217852,   -0.1859222589828278,   0.41355813215311127,       0.5287149302182,    0.18458070186669553,    8.14136480878851e-2,   0.34998687985291416,  -2.2567238375140684,   -0.5491919614189053,     0.4349525302317707,     0.8666260769176813,     1.542649249174648,    1.7363189432129962,    0.18949227827199722,  3.717524154329362e-2,     1.0238463035038252,   -0.7267263336869193,   1.1522307826986424,  -2.1311825757758065,  -0.8000286648958918,   -0.4957833325536258,  6.564077068272021e-2,   2.306803476200033,   0.11412859678069767,     0.5508098446019336,  -0.23047445577769793,    0.17065870593210816,    1.4484790365783151,   0.7312933339450275,     1.6856373681690278,     0.4165393177991003, -0.13812403343342786,    0.34527218316077113,    0.6183832715153061,    -1.0048611327742325,     -1.977709835599344,  -0.6896307224329223,     1.2422556451220603,    0.9633982680848233,     1.2595681127486833, 7.427454442234663e-2,   1.7858985590633232,   0.16893000768258276,    0.2857481139842179,   0.3430194593171657,   -0.6326943451982068,   -0.7146090020415456,    -0.8571523401147239,    -1.0217758996126156,    0.7485273351451929,   0.21604515186065484,   -0.3637807731273806,    -1.453507973524264,   -0.27698770413699675,    0.9033629214498581,     1.2364081735075965,  -7.05227141025867e-2,      1.7781552847508,    0.1131558992833945,   0.9676736817675193,  -0.10895776368653727,    0.4427672539042593,    -1.1967603870036112,  -0.6226071998378412,    -0.648559352696517,   1.3600412152886892,    0.6352976982200103,     2.0582972748140778,    0.4391494342340593,     2.665967242979615,    2.423045935851065,    1.0311165925456822,    0.8029077107851671, 8.981953851985447e-2,     0.5466017451083739,     1.4670689070216059,     1.0898996295708572, -0.10065013689586237,   0.10549903761587322,  -0.9386795432885692,     1.0552289473057823,  4.8720118492235835e-2,    0.948177612423259,   0.18198281548904757,  0.25296023863703665, 5.774410293882876e-2,  -0.30790348306979626, -0.34080473879165735, -3.0752725678729078e-2,  -0.45301652658558594, -0.14221379593625583,  -0.9941616171489219,   -0.6768863987746712,     1.352356892246837,    1.2569662848594942,    1.2732248262716368,    0.9289592609760194,    0.27051788890030404,    1.5132895813173053,    1.1209586908536142,     1.3892621825343427, -0.24052089149810718,   -1.3863554038815005,   1.0888950497865104,   0.45405207701424777,    0.5196732711001132,    -1.0576276844921246,    1.2094321608236698,    -0.513713278213308,  -0.20440209322978334,    1.3530682502969664, 4.442561463311169e-2,  -0.3644740424224172,    0.672238033823985,    0.6175214174032448,   -0.6728641932302507,    0.47045844264376857, -7.105815855099531e-3,   0.9155340608201888,   -1.8688818911581528,  0.10756511457311797,    1.7821599993841013,      1.440690627072291,     1.803697972740879,    1.2609289267648802,     2.3293470667289773,     1.5740141715676783,  0.13944748393673356,   0.41881414081878765,   -0.8488810486195323,    -0.5293105492130681,   -0.8483559736077163,   0.49945121564139905,   -0.2606415705867948, -1.8537805835774173e-2,   -0.7844537501462547,   0.11152430674139072,   -0.4428582963576298,   -1.5699858424858495,    -0.298920635222457,  -0.1022654821368935,     1.810790310197259, -3.804134818700106e-2, 4.2904510430740624e-2,  -1.4533590092006832,   1.3628543730612672, -0.24389497742749308,    0.7372519362634499,   0.18362201654950366,    0.8944354203536075,     1.078037816962425,   -0.7452383290780419,    0.8207812040807314,    -1.125614515645931,    -1.6093713183696712,     0.6751649203605589,   -1.059488653013651,  -1.3669430250922763,    -1.9026947638984317,   -1.3344512333128484,     1.2375783408901304,   -1.1073961911720314,  -1.9834212349763742,   1.8685099586961003,  -1.8051992682084423,   -2.1195772722707087,     -2.129975023631799,   -1.0412632753869373,    -2.422428819119459,    0.5986375448051104,    -0.356030194439832,   -0.8218736919878472,     0.7143012720166918,     1.4258735547611128,    -0.652891940470917,    1.7336284754084172,   0.9624190888614259,  0.7741548702379448,     1.3750767930415637,   -0.9027848468380811,   -0.17854818612429008,    -1.0998866746305218,    0.21427459239767283,    -1.0785747777688894,   -1.6659999889833996,    -2.81238389427913,    -2.0450548873678644,   -1.0158721900569994,    -0.9759472785478287,     0.884979100277169,   -0.9919287075638172,    0.4336510342530223,   -1.7914826701394404,   -0.6032343256634463,  9.559829534654767e-2,   -0.13776456515731306,    -3.154331977642346,  -1.8906534945401101,     -2.216875732105058,   -2.1732731372833882,  0.34576298341679673,    -0.5454737911641458,   0.2947482828654658,   -0.5099492072669629,   -0.8460506440690219,     -1.09503084343859,   -0.2755866014739915,   -0.9533753026595793,    -0.8458186980120596,   0.41913266188884196,   -0.6272953996127497,   -2.9916049208878657,   -1.6901129453507888,    -1.856655115379848,  0.19690617592195195,   -0.12319531658590606,    2.2453987986809425,     2.8282356137347056,    -1.325568080720899,     0.397331624317266, -8.692506114664289e-2, -6.529104867738214e-2, -1.3032615773839934e-2,   -0.19258490927907315,     -2.285424073333718,   -3.1697905413642635,    -1.7435793518418223,   -2.754254984500586,    -2.9758964886123644,   -1.6828750992498156,  -0.6120987703805193,  -0.9495456132323729,    0.3544882871668591, 8.748954493069114e-2, -8.684832163955619e-2, -1.5035923319696325e-2,   -1.781860440670601,     -1.757322598499785,  -2.1753623940269864,   -1.6076015269967412,     -2.69736256864369,  -2.1072366145948327,   -0.43362975364219675,   -1.165587448865592,   0.16114033311715148, -0.44422216569859896,  0.26050022931781924,  -0.7589602003597352,    1.572527061305226,   -0.24137183079676003,   -2.6145951502575313,    -1.831484879347137,   -0.9462270160835632,   -1.545858079979352,  -0.8002905775959149,   -0.6976061233930937,    -1.3217673913446175,    0.5886570045803582,   -0.5137238783119195,   -1.3004646001312654,   -0.3868990273552558,  -1.2983184498791955,   -0.816740735923124,   -0.8608666810403662, -7.453933664635283e-2,  -1.2443506805209466, -0.40838603986711985,   -2.0268049032478768,    0.28903657480167777,    0.5014169845283079,   -1.3369807717365805,   -1.1578498819892389,   0.14126451729744666,    0.2895423389310639,    -0.782480360144815,   1.5845451480818527,     -0.496385637628342,  -0.7858131348903686,    -1.8727065936577005,   -0.6453137781799495,   -1.2195795807756438,   -0.8944950313109076,  -0.9842152952012723,  -0.5278536577596061,    -1.256911023413372,    -2.441866110895357,  -1.2241510028620128,    -1.6188083546523764,   -0.1752721074847698,   -0.7656929346096631,   -1.1964219285485522,     -0.668226525996748,  -1.3230335103484043,  -0.6448177721795811,    -1.438070483304931,   -1.0136700115190211,    -1.5351241961748363,    0.4043530024067241,  0.14423643135456293, 3.968244880714211e-3,    0.5823189887708405,    -2.578737080323605,   -0.7546983030572797,    1.3953865411314932,   1.2333639600066537,     1.7398166621255509, -0.5434979634997904,   -0.7636488109701837,     1.3534775725668688,    -1.8467691870122094,    0.7546250888276885,  -1.4164256519359624,   -0.3643578141296613,   -1.6764031137328645,   -1.5167901908167458,   -1.8073035426057065,  -2.0031860569850535,  -0.9644503367578726,    -2.223764743892241,      -1.08691012618662,    -0.7541137146723733,   -6.15078010050445e-2,   -1.4591883842448408,    -1.0676084786921871,  -0.8616482743655789,    0.36626209796851283,   0.7698026466034487,     0.4631514043552542, -9.885689679003425e-2,    -1.4755744330995977, -7.798081101200023e-2,    -0.6123755337592878,    0.8295206612562732,      0.503605921275042,    -1.028766901523304,   0.24822152800665148,     2.083568925374063,    1.6086666445750977,    0.15441130612933637,   -0.8842909598740539,    0.26868783999063417,   -0.22145301409234397, -9.154679363545781e-2,    -0.5882175353850744,    -1.3177459953937816,   -1.7627068875276508, 1.0948315345550326e-2,    -1.9126215032690923,   -1.2287425256316107,    0.3221564762376462,    0.6343935784000049, -2.9133114479961975e-2,    0.4701800312237148,   0.4614879247259675,  -0.43292588221090417,   0.9195314645548532,    0.3175416208420253,  -1.5619055447626156,     0.4796794431201457,    1.9664681015705878,   -0.19567825691509985,   -0.14587685902506514,   -0.3139513168739187,   -0.24296295627565678,    0.5095651776699195,   0.7952161020359351,   8.716676300180516e-2,  4.0952922385241876e-2,   0.7864256130530628,  -0.4027558541219159,   0.29503321359385487,  -0.6923071338167978,    0.3312378067071137,     -0.5528167453164,    0.3912016147008982,  -0.24879339234025494,    0.7942826818907684,   -1.2788754554021171,    0.4612070348350243,    0.6486394292674376,   -0.5755650253665827,    -0.347330002651578,   -0.9293178557373586,    0.6459194005632237,    0.5000096572499881,     1.5307689941871614,    -0.7942365338634356,     1.440413633122407,     0.5937833726400932,    0.26462641477185195,    0.4273244143572173,   -0.1871462714977162,   -0.9271376111499214,   0.5193434908097464,   2.6569098919535925,    -1.4470019567457888,    1.5093968081501428, 7.347667682241238e-2,      0.327809910584187,     0.5507357042031654,    1.2983992834332003,     1.3009180253410182,   0.43725859368459674,     -0.324381463501652,    0.7631366287143495,   -0.8266269167708596,     1.348840494676899,    1.4005043193979745,    0.8131195476032458,  8.34208472980549e-2,     0.8530802102222549,    0.6860609934642475,   0.33470914186489126,   0.7003550176839674,     1.2994467828248175,    0.6432968924216925,  -1.6705423141606692,  0.33560465779286747,  -0.13409062131752786,    -0.8416789341790679,    0.836492635616032, -2.4754527714909772e-2,   1.1740310828099774,    0.4937184259419591,      -0.49057362823341,    0.7173318661290804,   0.19892535022703917, -0.39785819452271814,   -0.6686054446836724,   0.29653372161684416, 1.4329360112056676e-2, -0.38060976346190095,   -0.7371212195006777,   -0.5049542483045388,    0.4148072637298074,      0.573802276897545,   -1.2922717675161974,  7.598391212123738e-2, -1.810930162942429e-2,  -1.3684053910205998,   -0.1441796812844881,     1.6124564399741699]
+    ,[    0.2324039186378807,   0.40712820709477404,    0.9545060675263929,     0.425304629802093,   -1.0952523080521708,     1.6623780157042984,   -1.3441114472705222,    0.8998381397194285,  -3.522186730058045e-2,     0.732794676777501,     1.870470461609854,   -0.31575819483993206,  -0.22800332696967726,    0.5331540698723989,     1.750781687549292,    -1.551249952155029,   0.13317770629455078,   -0.8624374956560463,   -0.4185102719291157,   1.6097107308410459,   -0.47413407022032805,  -1.1855620462736982,   2.1817830673129337,      1.00882426704343,     0.3059394127862315,  -0.5778696775126756,   0.5942380379243156,    -0.7863034917538858,     1.1296170364613292, -9.033148811596821e-2,    -0.5571716569103755,    0.2899647423239104,   -1.0773848864249946, -1.1554603486844117e-2,   -1.7646338442854046,    -1.168878929779205, -0.11241989421573122,   0.11013497887892934,   -0.440318885416817,   0.9819761474218137,    -1.066353042956325,    -1.11007873087043,      1.358507734054253,   1.5857624966697512,   -0.6303600737507817,  -0.6736074368260386,   -1.8851275500637656, -0.17495326512712842,    0.3406015228168706,    2.0165941128886407,  0.39894543017116124,   -0.8420945888645397,    -1.3114761154508936,   -0.5556956743096503,    0.1575052044704848,   -0.9029856129395942,   -0.7719069506992143,     1.858508399386389,    1.337707098535543,  0.24299816337532068,  -0.36760192287625737,  -0.35632748537405484,   -0.8738353759239015,   -0.4371722242017524,    0.6031349220027171,     1.4119369998055478,    0.7214677903203087,    -1.402531786658978, -7.686382631598364e-2,    -1.200498278056475,  -0.46498592280921924,  -0.7515910594329896,    2.345877666039752,   1.8823418996213508,     2.184998421008044,     0.8652116423470803,    1.5656265376691727,   -0.3247276475313374,    0.1756875292102829,  -0.6221977778909591,    -1.313707689089319,    0.6664835623818606,     -1.532017889417553,    -1.4324842029951925,    0.8580482015039139, -9.386288278509207e-2,    -1.622968092786692,  -1.2403174981086944,    0.8004330908323946,  -1.5409061599769942,  0.10285672585423486,   0.9057574357042695,   -0.10955484529156037,   -0.7708763824041464,    -1.9181662912353084,    1.7332933118860225,   0.28880804462512893,    -0.9511569694136408, -5.1840620060075344e-2,   -0.7499809344974832,   0.9470445131334994,     0.4625476565658901,   7.730145186099975e-3,     1.8528805159365551,    1.0991486683081917,   1.2935407099574416,      2.139519273994502,   -0.7689337473450262,     1.5385575321766736,   0.15723701845260316,    0.8165555777424321,  5.795245905092304e-2,     -2.447846769936317,  -0.9595370665724522,  -0.21227497878886514,     1.0892850616198897,    0.1589234010906989,     1.1012561701331103,    -0.5360914670063313,    1.5652173890587535,    0.8852811642466768,     0.231816594830741,      2.102321970996757, -0.22993560534140975,    1.862029062553259,    0.6731885717803187,   -0.1454565357990537,   0.5275545545357787,    1.1189916986224622,  -0.8502018572307548,    1.0090058916477016,    -0.939311372915767,    0.5294911230170728,   0.3018551777997563,    1.4821931753390751,    1.2644414996317037, -0.37634582218263724,   0.43921033128923626,  -0.6080969067036124,   -0.5355928335515516,   0.25711590658151184,      2.44166227572151,     -3.315563955928742,    0.14033168113609637,       1.25773384560626,    -0.5292300755740879,  -0.3784531987566357, 4.1040305407308166e-2,     0.7740023573091687,    1.2736386490098828,    0.4906920935393282,   0.6215750251832906,   0.49325740871020085,     0.7670778202324606,    1.8493415709696042,    -0.7393654263748095,  0.3691318966173839,   0.4935022725249341,   0.39099750870861183,   0.5853588869757111,   -0.6636318553892518,   -0.22634496034972254,     1.1672080189555651,   -1.2484761316956767,   0.18661446402649504, -6.250443394988703e-2,   -0.5419831776768057,     -1.02937936896347,  0.41756258737274454,    0.9216855706694655,     0.8207236708265488,    0.6604490191276122,     0.3606346399579976,   -0.1352400265336838,    -0.8332184944642597,    0.7539535429039598,     0.642929910287302,  -0.6791478822327361,   -0.13906109836629776,  0.45298375734442997,   0.4849896736281711,     0.692345731133907, -0.19238847748916205,    -0.2628242410083058, 9.542793099122247e-2,   0.30403911314024573,   0.39126033015891615,   0.4615351590102528,    0.2690755872836596,   0.7674357077133002,   -0.7042609922934391,   0.3094092075883262,     2.4825440455750734,    1.5551173534815106,   -0.5364793153457081,    0.7855195133254514,  -0.2647519271813157,    0.40588035310075865,   -0.6916689678675005,   -0.1351900094030236,   -0.1601463969677846,    -0.3729229427101595,   0.4362090795763146,    -0.8557333023323419,  0.14852059515062335,    0.5062492537791037,   0.49387088977377785,       2.02107279719552,     1.054109357651912,  1.4009828211906637e-2,    0.5293692535877061,   0.5528664723350863,    1.5006758709361083,    1.5237735899763964,  0.22980755103622502,    1.0106072136200395,    0.9599755037375481,   0.4121385930408797,    0.9907893217605039,   -1.3604050318157004,    0.5282672837103124,    -0.2920846988018427,    1.1614727397747235,    -1.644620865184324,  -0.8578354430031461,   -0.45640038245107767,  -9.024486043295821e-2,    0.5736161731421291,    -1.69183844747434,   -1.5183019039320462,     0.3110725194990398,   -0.2946288017389837,    0.16672473910715022,    1.6574947299189022, -5.0474627084394603e-2,  -0.27169034320864255,    0.30730841524542823,   0.2427051589112435,    0.8396214984387991,    1.1845852574959108,   -0.5136717567170394,    -0.5848470060327613, -0.10106217855495586,   -0.2328436878748966,   -0.12659008483856676,   0.7221575537385403,  0.20343884651415098,    0.5289144233011496,    0.4969694801599162,    -1.0755357161269412,   -0.9652800902832283,    -0.1385059540319296,  -1.3934655842277022, -9.632344922995986e-2,   0.38246200528008584,   -0.5590462900356981,   -0.49166478260431207,     0.9270880940042304,    0.40375941828431083,   -0.6194389162288972,    -1.0752098173901807,    -1.350222299297598,    0.5669395241845607,    0.4877694508763979,   0.16448816100834585,     0.8839483393200714,    0.5289070256531253,   -1.4376757595063765,   0.13040189755116713,  -0.8741746533049624, 2.7990221088165818e-2, -1.6556742410259506e-2,   -0.6044550408830183,   -1.4280884844659087,    0.7162673124885373, -8.761583255245532e-2,     1.5012847174461104,     1.493449309596742,  0.19935275282004153, -7.06389969030484e-2,   -1.1191376237818842,   2.2007710149309996,   -0.2779406788068584,   0.8399844157418752,   -0.1106833355596408,  -0.34488342617750595,     0.1977244794640001, -0.30407241588955675,     0.6720552041153203,   0.23288066403262994,    1.0085523548612874,    1.4343348360507653,    0.4102233663158777,  -0.8196478903374886, -0.5391514848082603,  -0.8928807373164307,    -2.605115899379295,   -0.7116594909038828,    -2.1242022531179456,   -0.4417567428463779,    -1.2890583690576243,  -0.24832230979927822,   8.879884075027442e-2,     0.3410509065728669,    0.17019251402712948,   -1.2191857953994005,    -0.1066552678575116,    0.7192010139855921,   -0.7656268766391646,  -0.21111760057324425,   -0.3176008567654171,   0.7274472118424079,   0.3263982781261695, -7.554651064327068e-2,    0.291219116067443,   0.9514431937628987,    0.662629145567349,   -0.1658853185814493,    -0.8695575566995654,   -1.6871507664564864,   -0.3266231513706824,    -0.9755576945089748,   -0.8535454080748147,   -1.1240315427944014,     0.3022427969503591,  -0.9986982256941783,  -1.5603592842781064, -0.13510446933794312,  -0.8577517025490836,    -2.549288388349518,   -1.4886862439368855,  2.269828151056233e-2,   -2.6075232421160055,   0.6611775229909118,     3.0298257087090765,   -0.5635215308184259,   -0.12818271229493108,   0.4620369158490695,   0.9645332935552903,   -0.6703016024981157,      1.578848378472957,    -1.0780003409186851,   0.3605066371676861,   -0.1006117105028828,    0.9467309844432353,   -0.4141756656122237,      1.102593290465344,    -0.7514238323453721,   -0.8251317296406708,   0.7674869318231597,   -0.8864266945859051,    -0.7830041111521089,    -1.6355540619682432,   -1.0342704693467322, -7.998673540015692e-2,    -0.3744050734639875,  -0.24761662810427862, -4.2131102214144935e-2,  -0.15231592968762422,   -1.738961111388231, -0.11616645777427861,  -0.5600208845595723,    1.4840520370503492,   -0.6872072503461997, -0.7515527037688281,     1.230777570251834, -4.6845084091679805e-2,  -0.33646511466910395,    -0.9848577396853727, -5.849807084942917e-3,  0.28704138973188215,    -0.3141467824065167,     0.5567274055268975,  -0.5721043786359628,    -0.3526799765636651,    -1.728173036713003, -1.8031769389325648e-2,      -1.39655980138234,  -0.3699055582677181,    -0.6360483196151329,   -1.5268370876743327,    -0.9834889702667086,    -0.90390513937059,  -0.6653728324491247,    0.4796624157726514,  -0.38590791973964805,   1.6971773358984412,    1.0009853466550969,     1.308648239012473,    0.35862646995129316,     0.4616361734491612,   -0.7171423802132209,   -0.4287182965403219,    -1.027446618480796,    -1.279347723219605, -5.0672752950886586e-2,    0.3681222315579772,     1.7692052017840014,    0.7435527700772564,  -1.6959980142821718, -8.379106272248373e-2,  -0.8496178876900133,  -0.14203749451518288,   -0.6595255508796295,   -0.41537732744673056,    -0.79864641872335,   0.22070743531720916,  -0.7799890978546162,   -1.3907685976355406,    -0.9662993814863355,   -1.9564181511238903,   -0.6334256174402213,  -0.8435263925239025,    0.8866280180310999,   -0.1442300535498179,  0.19492378538687868, -1.0321303562448316e-2,     0.6374583651194417,    -0.7916232600239759,   0.8541291403420799,   -0.8022939884047593, -0.13083698672333194,    -1.3063231849301176,     0.7958431936949731,  -0.5653370158678745,    0.4451778253400225,   0.9058824197846994,  0.40972876943914294,   -1.6278309285585149,   0.7756959238599891,     1.5877624818734697,   -0.5696630545447671,  -0.5784609430693969,   -1.058753327803295,    0.5504853170064656,   -1.0398553579231016,   -0.7632713128997745,   -2.2178340539977897,   -1.0882802134261182,     0.8944136062888961,    0.5929728699296928,    0.5415743199056142,   -0.29023489891291016,  -0.3229467802730449,    0.5169206433785443,   0.2815305912164974,   0.22538186064794724,   -0.7386737577239598, -2.8572145842644867e-2,    1.0562371074687458,    1.2501392142941699,     0.951298502785077,    0.8656263112447277,   0.9757094350092246,   0.5144788819112427,   -0.493039627884796,     -1.07834123787305,   -1.1504114473223632,      0.517640603975268,   0.20214519368876516,   -1.550824758262214, -7.963958320793489e-2,  0.29366857515900147,   0.16279122206930527,     -2.410853676151181,     0.178051794427914,  -0.42306359682928096,     1.1747032519892768,     0.2805531712931679,   -0.863563511302309,    0.8231887412980275,    3.2137830757034846, -4.6955981886670606e-2,   -0.3874451628209509,    1.1248034229828685,    1.3254811827180895,   -0.15899525365842823, -3.695528316111078e-2,   -1.0137117369457094,     1.379304010039817,   -0.2484478009406378,    -0.307894454985736,  -1.8048390504587144,    -1.208085207263262,   -2.3757529476655384,    -2.035126721211809,  -0.7351818852165547,  -1.3479846835850684,   -1.413324887103571,   -0.8739088676881104,   -2.0519563140681596,    -2.284874290470548,   -1.5685765138748102,   -1.3314065664147925, -8.776063750476655e-2,   -0.8828552127345979,     1.3907958675723733,     2.6585418677891712,  0.41960356374929936,  -0.9929677925106603,    -1.4439354838093459,    0.1726873194467149,     1.5274153105448154,    1.9901896220838888,     -1.1521979717366,   0.6852571145617931,   1.4308632004880684, -9.434937620752547e-2,     1.3252035419737442,  -9.15090873734072e-2,   0.28518201955546796,   -0.7117786501109309,    -1.106555776058852,   -2.0419880596158357,    -1.6627501924589811,    -1.9931145569018336,   -1.2653414223140709,   -1.2777721001335909,   -2.709570236474787, -1.9504082877436102,    -0.4555956159450259,     1.197245184172107,     1.1597712263204558,       2.70085865455089,     0.6306183938427379, -1.8784987261637503e-2,   -0.5518476286264165,   0.5027971488441442,     0.1302288235103955,    0.1808718869545601,    -0.9062602468665218,   -1.1239525822764063,     0.740747828744007,   -0.6272579421508437,   -0.5195416828800737,   -0.3545914002000696,   -0.6353716915413107,    -0.2910741840457815,   -1.0174771202840078,  -0.6247603314003313,    -1.4423313287890804,  -0.43391364498552676,  -2.4975834798093626,    -0.7587488523763479,  -2.4848349725917336,    -1.234044002488934,   -1.4214010206316654,      2.02087408469338, -5.012065528326228e-3,     1.104123573685556,     1.3638993307407867,   -0.6666493700761092,   -1.1057123249234238,     0.689670639019035,   -1.5202086355723081,  -0.38759011369520835,    -1.32862991501382,    -1.1366303946196703,     -1.44166144076279,     1.2170292622108527,    0.3299080940617101,   -1.0301223161959834,    0.9500563809267852,  -0.17232287476933156,     1.3504416041588774,    -1.2880952004549444,     -1.557066621954199,   0.34743584730210686,    -0.2595894365870104,  -1.2607643563071833,      -0.20544760315033,    -1.316107356141849,   -1.023991984964531,   0.6606978644269267,    1.6575544744910866,   1.4804457559155686,    0.5630976824040685,    0.31855784890018163,   0.3540011091832787,   -0.23123877196390816,  0.32029420336258224,    1.6944717248616499,    1.4083638558452867,     1.24464607185316,    0.32297190854117674, 8.787503188057773e-3,    1.5857184404984705,   1.8021906290027923,   1.8483694666996264,  -0.4115170451263337, -0.10950733246397519,     2.6515505315650425,  -0.15120695370971954,    0.6237438014585864,  -0.31260019859548754,  -0.6246770488836133,   -1.218895860457814,   0.26343158394870664,    -1.6652168866545292,    1.5443609343917877,    1.4720243781177953,    0.8430443552081552,    0.7471423957411119,   1.4348334583374018,   1.3576793646981844,    0.7415389643085941, -1.876741741684324e-2,   0.8702781278725932,  -0.4053980004140489,  -0.36917225159880845,  -4.971391276556919e-2,   -1.1921726795755552,    1.2320309833222332,    0.5489507351220387,   0.19731917245865063,    1.6329162697531385, -8.763739973023233e-3, -0.46936329750548167,    -1.0188668927587057,   1.3577764901260128,     1.4293916499179153,    0.8764029110563221,      1.01946376651954, -9.987352515732457e-2, -0.12822445070514005,  -0.5511489958096666,     1.230813633058699,    2.3817555626944475,   0.8333253861393599,      2.025255020842958,    3.1729544794831046,    0.6341273871121917,  -0.10199208399336065,     1.4901914247041999,   0.3869157311770843,   0.7872591232382093,    0.6431229774409166,  9.377831385653393e-2,       2.22007021233446,    0.9910159068051643,  -0.8845547891707756,    2.247051384157294,    0.6530302923079973,    -1.228833323741584,   -0.5236236544125754,   -0.6237859302998352,  -1.0358689452148224,    -0.5580052828884191, 0.14065145571853727,  6.657433468391717e-2,   -8.28576670015192e-2, -5.4135746685639106e-2,    0.7601635850075424,   2.0465656559634375,    0.9914341143931171,    0.8066193049298659,    0.9822402804766737,    1.0057246657088197,  -0.1297000522602476,   0.3464277089957759,    0.1799572425293614,   -6.80876775779205e-2,   -0.30806579683984364,     1.7470466597890189,    -2.136986134810936,   -0.33561738740896974,  -0.7203222235959144,     0.5092821999651148,  0.37141633337258545,    -0.9681403672991654,  -0.34247759358354807,     0.9961905386924274,  -0.10187918480092625,     1.4566898691746188,    0.8915245209388013,   -0.17312981600476202,    1.4366563732822262,   -0.7705223170323331,    0.5411853899258221, -6.264862984760383e-2,     1.7723630029948156,    2.2779816178185834, -4.6844209637513956e-2,       1.72966691108517,     1.070281233876442,      2.038979767151561,     0.6361199031027699,   0.48770839584267145,    0.2481234793230371,     0.4309118016883221,     1.440834938732406,     0.212366814926394,    1.2422629106649734,     0.5796991140973101,     1.308589519601316,   0.6172011219792057,    -0.372914646616875,   0.3964034725109514,   -0.3214067295151909,   -1.214899969800526,     0.3328523346901565,    0.9985182511570959,    -0.7346059876539235,    -0.9301813576476291, 1.7786888780171036e-2,     2.6510636759262134,    0.5321494554568571,   0.3912632814941031,     -1.530271358267971,     1.4701294530124736,   1.6625327971614183,  -0.9364388264523977,     0.654028967613344,  0.16710832520952112,   0.29940238636826527,   -0.956150964759687,    1.4048547852687543,    1.0274024334968104,    0.3441958446307845,   -0.1404832779266622,  -0.39388996519606456,    -0.479286689334182,   -1.1931868464161484,    0.6897051706286508,  -0.43952924307321195,    0.8532171480281613, -3.490512298172399e-2,     2.5285385307411374,     -1.789320157938819,     1.490630006639672,     2.2267308115860787,     0.9329570734094403,    0.5306036525483586,   -0.8247958574162674,   0.42671959414535177,  0.27671849527194536,  -0.3291599138178438,    -1.0887138670257865,    0.9429975055172458,    0.434313925215684,      -1.16008802441436,    -0.2041527750809461,    0.7948424357403474,      0.700268755265582,   -0.2977253138491711, -2.9176288653063577e-2,   -0.7179766845807575,   -0.4123750565801049,    0.8799967256349708,   -0.3691649506557056,   -1.3338306445169925, -0.35661382765995703,     0.9072310048251233,    -0.707933147423394, -5.978059839453044e-2,   0.3471497157474316,    -0.5324533429374178,     1.015897659082379, 9.293873279353031e-2,   0.6801269605760285,    -0.797911773750805,    -1.3577891582363988,   -0.550301125057577,   -0.31924183881204526,  -0.2918864214502928,  2.504607891222269e-3,   -0.24975851912587455,     1.132578737133514,   -1.2649999580312565,  0.17549096528012795,   -0.1970506277642154,    0.4145264784250477,   -1.4646101207500153,  -0.8089657968961697,    1.6244351741596654,   -1.0927836846498513,     2.094626872775811,    0.28059343525695973,    1.5385971942453727,    0.5325869570850005,   0.12312611088100248,  0.26884217086543105,  -0.19224084701662808,  -5.128955880175143e-3]
+    ,[   -1.4356029387969407,   -0.4028223873847994,    -1.503242570829978,     2.404235374483788, -6.786521980217647e-2,      2.497401326814661,   -1.5555615379446086,    0.7977761883990379,     0.7085639170632468,   -0.3684210537255998,   -0.6571249514009072,    -0.3350842655830761,   -0.7487466400837886,   -0.4702780780650866,    1.1831316139413637,  -8.79640661377742e-2,   -0.3437419256274398,   -0.4518307897175275,     2.870011497015784,    1.615797247202657,    -0.6696896509322965,  -1.5342033912424435, -0.20077062417970412,  -0.28024505558561674,     2.0775705940842575,  -1.3395092170778398, 4.279890821297305e-2,    -0.6801682711535996,    -0.8368834178765937, -9.684011701519517e-3,    -1.4285100331450542,    -1.440685927715728,  -0.42832306322467917,    -0.2660438595696154,    0.6568953828127387,   -1.0705002394564505,  0.19325735242682715,     1.248938055232148,  -0.1653248846990683,  -2.5665616087831955,   -1.0032849886812518,    1.068174861284206,    0.10676948665848561,  -1.2481755626915585,   0.12317888027501987,  -0.6853280150794727,    -0.684928306943683,    1.163147252597007,   -0.9077338193310203,   0.13520418062760864,   0.7298682635938003,   0.36637169084372984,    -0.4070565085123363,    0.4089096511768527,    -0.544133900018589,    2.9798401298035273,   -1.3010322109407098,   0.39945366725431397,   0.2398617608879703,  0.29828339412167004,    1.1353343838787215,   -0.5339079227230618,     1.081413409192517,   -1.0584314295436854,   -1.1647882588436156,     0.3235755785680747,    -0.512974295392238,    0.9339613398974701,    0.6330824901370385,     1.370885053747498,    0.6176876081499617,   1.4229207890747915,  -1.7330363805385343,  -0.1200122878117144,   -0.7919260810121979,     -1.536271377622396, -8.643216261097096e-2,   -0.1239434695373153,    0.3501332861492287,  -1.1143814316212324,   -1.8070135354976975,   -0.9088396584549087,     0.8425725637673644,     0.7390191955153105,   -2.4034173097553713,    1.4867935307261224,    1.6353367956040308,  -0.2929930670393066,    1.2092953256706056,   0.8230361048806423,   0.7319962433553447,  -0.2825533329812646,     -0.593509232060992,   -1.1969481546609677,    0.49222550194683967,    0.2788695566394603,   -0.8961860509500658,     1.1855355113854915,     0.5065595506217698,   0.18112303659957785,   0.3315770818271901,      0.443474906968964,    -1.7900796523098248,    -1.9945797155009208,    0.8187222074367323,    0.194549264166522,     1.0967195882383087,   -0.5963984668356084,    -1.1159419902725225,   0.11690473726368092,  -0.15821034230161557,    1.0713272921746013,    -0.4707230617423122,  -0.4439630354455562,  6.539244667749168e-2,    -0.8093107716861863,   0.10237971413361045,     0.9569679996476138,     -1.308313099814083,   -0.6847472810922988,     0.817630756158585,    0.7354853167147327,    -1.4699246227879816, -0.32392722213233804,  -0.7775326167501475, -5.648836433092842e-2,   -1.2559300498396553,  0.47538386142334027,    -2.344326921070164,  -1.3710971069811217,   -0.3511512013323741,    -0.980375978348456,   -1.3404131680461018,   -2.225065379267873,     0.637749636282772,     -0.98793482702589,   0.3135679765194814,    0.2995976472407378,     1.24270336147182,   0.45946019613841044,    0.6463339463422357,   -0.4791145983082754, -1.5054487566529875e-2,   -0.33491997532330514, -3.1915258273043604e-2,   -0.25127419161902687,   0.6109645518673864,   -0.3828258088459266,     -2.393440989943086,   0.10128387499232433,   -0.9379074005547632,  -0.7831509637674504,   -1.3845211068318664,    -0.6548344912812357,    -2.093766520304601,    -0.2879845251546744, -2.2728484580358215,  -0.9654056034315248,  -0.38685705289865024,  -0.3997986219064317,    0.6739054646949146,    -1.0468625119248836,     -1.159880653374581,    0.5275063146847767,   0.46183152406865335,    0.6040667299488487,    -2.162551504564069,   -0.9367556785002554,  0.20832812416201923,   -1.5149029157963256,    -0.3804424439589957,   -0.5719869209487123,     1.9655925085763548,  -0.44555679380241264,     -0.216604222819555,    1.3870735996264358,    -0.597086104697637,  -1.0792667701372518,   -0.28706251674685634, 4.771790588776702e-2,  0.27262467508893373, 3.8763676191329324e-2,  -0.7670800048215293,    -0.7808645912914434,   0.5426364449853713,  7.258064299848616e-2,    1.4404400367428452,   -1.675639752952043,    0.8265295821170903,  -0.8154276545144823,   0.11030323897373205, -0.22120754946821336,    -1.8968295893716742,   -0.2830696166714226,   -2.3599919237940674,   -0.4102484655928303, -0.11233143440197425,    -0.6017332220820983,    0.4035083829452847,    0.5818467924957706,  8.443417477177481e-2,     1.1973229794676696,   -1.820223453156762,     -0.681652967061198, -0.40671363611571587,   -0.4564603168874192,  -0.22447878817599518,    -0.5600111135843275,   -0.9414746365117668,     0.1150327784789414, -3.992408883216549e-2,     1.15921080258614,  -0.15903485661611796,    0.2812273229030383,  -0.2890371014896017,   -0.5747386376820023,   -1.3646048043517907,  -1.6507506549422328,    0.9569884939428291,   -0.7000095946738463,  -0.25565729924075326,   4.775395476618952e-2,     -1.65651498328236,    0.6807427513215384,   0.5526928862700093,     0.8710792372606087,    -0.5163269083786552,    0.8760449154981776,  -0.3217253405746653,    -2.110217194022873,   -0.15655715972058892,   -0.2833120408872464,    -1.7612928117230635,     0.393828886812026,     -0.148855139725364,    0.3006516176740175,    -1.3379075372897127,  -1.2433760569090662,   -0.4760815327952945,    -1.714292973774227,     1.006161057860989,     -1.347556911306052,   0.6499823748757388,  -0.40257597855721333,     0.9409909219132867,   1.1717116475296534,  -0.8259893761821901,   -0.5910859669076898,    0.8324444209416614,    -1.9496919152681775,     -1.13245710707576,    -0.8914711247883388,  -1.3340782863742904,    0.4487689455607139,   -0.7577672428048092,   0.20702503822749824,      0.518739750214076,    -1.6455357046014578,    0.30027925673460604,    -1.138483780467423,     -1.005204532745113,   -1.7650232607375749,    -0.143494962954733,   -0.6978088031035762,    0.5420983648399201,     0.5030219584407336,   -0.8490184128926669,   0.47243724252961533,   -2.2905263544819836,  0.12721324608672313,   -0.5943123422072232,   -0.29682818210504597,    -0.853432613837074,   -0.6898862912189577,   -1.5469310643176837,   -1.6878630226623748,    -1.4301909138502436,   -1.0860689775409869,  -1.5575253983489206,   0.8033925322549599, 3.5179724293920764e-3,   -2.661360875751901,   0.22295321213407332,   -1.882458320960644,   -2.2953149902999153,   -0.8257837251752813,    -0.4118100879117021, -0.17035854813373844,     0.9556643077038779,    0.4614100787155623,  -0.37808177220649375,   0.12768226810357422,   -0.5632544648445134,   -1.899509132086529,  -2.237401039933716,   -1.949122052387192,   -0.7149612086527838,   -0.6518961378681785,    -0.6983655532331701,   -0.4403252955595587,   -0.14723533339395836,    -1.524286221849242,    -0.5917334144587223,    -0.3660912517383791,     0.7193346927580159,    0.3249462912517455,    -1.3856003194607809,   7.60092986348846e-2,   -0.8880870110314001,    1.2685344257696576,    0.6944007947918108,   0.4555311524666556,  -0.5970609835738917,     0.754977852124535,    1.415889030082314,  0.28775064450215837,   0.5978250257353243,  3.933703504717236e-2, -2.7468753016553438e-2,   -0.3961423217805748,   -0.6934007529474167,     -2.209781073601764,   -1.2892123353880316,    0.5032956059859376,     0.6324797118704386,    0.179393871380367,  -0.9240504559010566,   0.5600141106140093,    1.782696356449133,   0.18486317607410954,   -1.5138973514468077,   -1.3964414806428895,   -1.3148378530306652,   -1.251665684883196,     0.7330529174106107,    1.3830727215692709,     0.9704668846152643, -0.21626213522634707, -0.26086315566761387,   -0.7187144080236618, -6.9966556167050135e-3,  1.6057418110757934e-2,  0.21457149334573036,    0.3599556132788563,    1.5649817193992763,  -0.11966444194823896,     1.8845488325230377,     1.1343650535364769,    1.8161186675914056,  0.24173233956539167,    0.9355798016331849,    0.15897500389540006,     1.4721508222081228,   -0.7277213155379081,     2.213188896229387, -2.9726051670172594e-2,    1.2862249718368968,  1.8716254980949375e-2,    0.5323314884976641,  -1.7804662490413337,  -1.0334714951026185,  -0.3559875890887561,    1.2342974443498083,   -0.3058900654810972,  1.0992664364454905,   -1.3817568697595113,    -1.5205382081269272, -3.448435317136241e-2,      0.272658257293925,     2.524814400013233,   1.0701531991777762,      2.123516864743023,     0.3641298907923255,    1.156331545219051,      2.221748160874604,    1.6193396131256848,     3.0953891482139233,      2.129086122983703,   3.1557537058101324,     0.6311002783327497,    1.0767180903669598,     1.2229592966342528,   0.6243729392476846,   1.3174793889019067,    0.4649024107353325,    1.3282081659006348,  0.17314180939493176,   -0.7959520202344578,   -0.9611343042060575,  5.4907420349984706e-2,  1.2069840661016962e-2,   -0.4991065338270226,   -2.0280533687827735,    0.1632060418986391,   0.36373275632117585,   -0.42860049287803986, -4.656717276171188e-2,    -0.9843606324215114,    1.9444049368184517,   1.2132679533408768,    1.1023201545888803,   1.2950298445831896,    0.8573577590456332,     1.248544514182652,     1.1557553000903855, 7.765164688051557e-2,    1.3507095711750559,   0.3591474253053352,    0.6074449236612437,    -0.7185233298938527, 1.1349466830402713e-2,    0.9228064869741962,   0.8435210520997715,    0.3693860681623387,   -1.8043703277734382,   0.6102579512265364,  -9.757098384444891e-2,    -1.1571941993240586,     -1.095364683031097,    1.957034878425618,   -0.5508302484598603,  -0.3376364985722618,      1.266886105845751,   8.623910823064371e-2,  0.46511322039399633,    2.3324219672494793,   2.3003400921518855,  -0.5621539910484368,     2.472587328764668,    0.794286385446526,     0.8567771027105288,    1.0098815698588404,   1.6708832867563177,   -1.336459538844986,    1.3438530255873011,    2.2550674653239637,    1.7062310254083832,    1.2645791418662735,     1.453871858796091,     -0.405414208408001,   -0.5041583049370587,   0.13157946394139933, -1.4695460043605167e-2,   -0.777219110490758,   -0.8848549410696994,  -1.0014417528715274,    1.0824179160121237,   -0.7719288058122524,      -1.04787022793473,     2.553903589849218,   -0.3469498008583915,   -0.8298803002525766,    0.8500650755217164,   0.3649699166378621,   0.4058278207245621,   2.2472597883838623,    1.1404930942365255,     1.203671787941833,     1.5660040138531233,    1.2523043153497844,  -0.8721399821286698,   0.27333298781228144,    1.345758250476509,   0.14626194460184067,      0.809731881881033,    0.4579355852908817,   0.10590088497640072,    -0.9842598665321898,     -0.343947647511611,  -1.1477758097535673,   -0.7273059134613418,   0.12168957813978257,    -0.5548029263612471,    1.0255616602584625,   -0.7852858469104238,   -1.8765178731659404,     1.4984453075821385,   -0.8811618896554726,  -0.42442512714430886, -4.510728370416712e-2,   -0.7470972420296743,    2.3960203426322666,   0.2982764431139009, -4.822728310769212e-2,    1.8649358939512164,  8.589299863686047e-2,  0.24751868861887794,  -0.5420811233676937,   0.3760237698927394,    1.1619461924189265,   7.99616067730755e-2,    1.7590476239165154,    0.5116195753691948, -6.086806603408182e-2,    0.5047220081669576,    0.7489182578129866,    -0.7093260457984443,     0.6237881354076475,  -2.3746207587297965,  3.37087506378928e-2,      0.594832619541758,   -1.3985518717582146,  -8.127422030176225e-2,   -0.4275798020700403,   1.5155215732077618,  -1.1944271250270904,  -1.2557130658924502,   -1.6537803683535144,     1.4011768775059343,   -0.4426482536870242,    1.0054869674522982,   0.10939519107828695,  4.300447760812595e-2,    1.0802363586045707,     0.9020915888497032,    -0.5313417101917197,    0.7507612396543628,    1.1355983975018251,    0.783981668233689,  1.0436959743152512,    0.15692794266281615,  -0.29729397444169914,    -0.2203753134059785,   -0.18382210612432337,    0.18639211690300547,    -1.6988664813143846, -4.471883777806832e-2,  -0.9403505444638041,    0.13014496478992243,   -0.9079648310024021,     -0.551395647825162,   -0.5444088437455272,  -0.10681913602720164,     2.711061846941196,    0.4479475972864542,   -1.6831766045354768,   0.14264681726983575,    -0.2462870686273045,   -0.5025115723997675,  -0.7670177230117621, -6.1045721878496384e-2,   -0.7476759798486766,    -0.66977956053142,     1.5619113229965662,   0.3164176317528202,  -0.35548396448199165,   -0.4461792732092767,    1.2628256112265757,   -0.6838829927923766,   -0.9342324897035408,    -1.1225797670193916,    0.5337778847667679,   -0.6644520002926598,  9.660324064594467e-2,  -0.14760396428910738,  -0.35749791100350703,  -1.6346482827931748,    -0.5965478071475081, 2.3731269880492737e-2,     0.5081303305007071,    -1.049494850919949,   -1.5490268163025969,   -1.0403614215688788,     2.256217373031333,     -1.168962887872233,    -0.7783874329237181,    -1.4768575980311835,   -2.8486657259119204,    -2.4664094830760335,  -2.2001876639012425,     -2.225750279404449,  -0.40529143116320876,  -3.0668346370718704,  -0.3485960281309987,   -0.9450326215664099,  -0.8542395756251003,   -0.7338626716687218,    -1.2241461419274822,  -0.7823319437859781,    -0.7923305339408983,  -1.9758592006114744,   0.42367512641572935,    -1.819699024301511,  -0.6590347836704515,    -0.8351910707104163,  -0.3044055040647414,    1.1147534267971886,  0.48537915530019404,  -0.6057805401997052,  -1.0154789202822492,   -1.968563405956346, -2.9247572542775227e-2,    0.8389309402104498,    -2.710227817106002,    -1.511860521984285,  -2.8448043969769747,  -1.6145821698427305,   -2.0216937546677585,    -2.2575536067885955,   -1.0328635493332092,   -2.9390371240046385,   -1.0581240104220146,   -1.9785700835862192,   -2.153677361291474,   -1.004919251055601,   -1.7363208787940194,    -2.219435652826849,  -1.0876275646246962,  -1.2881105213208868,   -0.8349770995387243,    -0.7310615811707724,   0.20214992329118436,  3.832210424353975e-2,   -0.9324754461734089,  -0.14696117739463344,    0.9886571492075114,   -0.7558149896569064,  -0.2729349865465193,     0.9961935927430171,  0.19803755436489906,   5.950345136633692e-2,   -1.4077651318894335,  -0.30824855525937145,  5.944568783430139e-2,  -1.6251674900107302,   -1.253034971548482,    -1.746254144671158,   -2.4122409432042344, -0.46963911567286426,    -1.6990684797983258,    -2.411131824525183,    -2.277221196107108,   -1.5619194373738277,    -1.2158047153989495,  -1.0980411841999913,  -1.1845264267089148,   -0.9069854118678682,   -1.3798387086754427,     0.1767307534146004,   -0.6635846721303282,   0.9571848478897532,   0.9829518196887166,   -0.2927282071773455,    0.8269427373985796,    0.9959436545178729,    -1.048693244201766,  -0.4398603034798605,     0.5224867171965731, -0.8071658865666068,   0.23231263420004547,    -0.6026366660887781,    -3.2415749625879635,   -0.2693791747171893,   -0.954153326330473,   -0.9031308535237919,   -0.8999723374188388,     -1.40127891649338,   -1.5262930730316175,  -0.8126146652749716,  -1.2001234591668541,    -2.316398543841206,    -1.3749994406537582,    -0.6413882173024014,       -0.4096743266711, -8.695765389034205e-2, -5.6153323532744714e-2,   0.6836231496711567,     0.6224749806591947,   0.8046130510005903,   -0.18007204751553216,   -1.6156483236845294,  -3.445833346486097e-2,    0.8336058053100808,    -0.1429608827511917,    1.5781391266610023,     0.3028101384063614,  -0.38294852136715785,    0.8007428633302756,   -1.0310770753062393,     0.852997191927864,     0.5378735020588935,   -1.2622833643984097,    -0.9469442934440938,    -0.5610987963909784,   -1.2423388896354768,     -1.215460978926098,    -0.6036548632662764,   -1.1860758684316413,   -1.2592659123482852,   -0.20038229443154823,   0.49029760758944335,    0.4884191552189955, -3.273353745822353e-2,     1.4101256457817253,   -0.3837327094742515,  -0.6880396914700944,    1.6616106886723552,  0.14010686155760674,    0.8980876612268929,   0.8823491272483217,    -1.2679193648517932,    0.7995303067348271,       -1.4707770102435,   7.785971419703935e-2,     0.969072092317015,     0.4325884459324755, -9.593040434980465e-2,   0.8751902677381985,     -0.652579674185261,     0.9581376437081892,  -0.7113292403032812,   0.5870083166774464,   -1.2473401501974166,  -0.5278155068172282,   -0.6845907448037652,  -1.4410075993424485,    0.1399866213616311,  -0.29885122743429493,   0.49402548276758046,    0.1472808191946704,    1.4207139579842778,  -0.15819376800637658,    1.7337720282379767, -7.224925975524238e-2,    1.7064463998209012,    0.4045631469695538,   -1.1441586067534013,    -0.5673106780635935,     1.3192482319361676,  3.797221130292299e-2,    -0.9356479665041966,   -0.35550397576728526,   0.14671198125223114,   -0.4827419033335474,   0.23402763459440049,   1.3559189704947805,  -0.9191228364465214,    -0.2692522041214324, 1.9010053545485534e-2, -0.15462254627779476,    0.27828302051345194,    -0.4619572880561177, -7.240439080259566e-2,     1.3408249085952901,    0.8252772465267153,   -0.26180723215823815,    0.6958595489641967,  6.285453686120673e-2,    0.6087895983469729,   -0.9422917951813268,    -0.718083724188162,  -0.3439170162902898,     -1.061837053035418,    0.5824437778556425,   -0.6780588524196842,   -1.390135006954353,     2.1347317891193787, 7.7902697405237194e-3,  -0.7034766098741189,  -0.7876398052782048,   -1.9575248442490532,   -0.49335236398904725,   1.4909092702999471,      1.739578125778592,  -2.4810495998876316,  3.368305073194447e-2,    -0.5173967744813437,   -0.2555277445900548,   0.22356757349581574,   0.7724695065557096,  -0.40923842471936117,   -0.5101844173334767,  6.587962815964574e-2,   -0.409997868675315,     1.376576720377783,   -0.9708289586511798,    0.7002630549722385,     1.2742801525821106,   -0.6566605026121329,  -0.35895744695048953,   0.41657022174086844,  -1.0081007562025093,    -1.880808198804871,     1.5180196748461754]
+    ,[   0.29405805630089443,     2.119470160929356,   0.40563513806462426,     0.483935334977804,   -0.8704976856082755,    -0.2785722499146888,   -2.9965051246882104,    0.1860873142708512,     1.0480018602284327,  3.113146361384625e-2,    1.3755525095229366,  1.2508401015804095e-2, -9.663538850331733e-2,  -0.40970137240411275,   0.12502240443129234,    0.3589301247893965,   -0.5269383496809146,  -0.16153642639179075,   -1.0464423296914755,   1.1434656723652512,    -1.0505592967815733,  -0.1769005329376266,    1.355512685086656,    1.0850213330707394,    -1.4602320148343886,   0.5555730636227565,   1.2955850115659977,     1.1992445272935526,    -0.4584809694816815,  -0.42972005751636383, -6.2404493986941444e-2,   0.15397063666753671,   -0.5025964027385748,  -7.922484719809428e-2,   -2.1012514149634534,  -0.19750251448693276,   1.4907231377755843,   -0.7747552629061717,     1.30335179790454,   -0.574275424132982,  -0.47526619349719446,   0.9948498098414597,      1.246707716364329,   0.8089979535415713,   0.10898404501707334,   1.0863994808047543,   -0.8898271338023421, 9.527014044922288e-2,   -0.5661468588825175,   -0.5339353379288927,  -0.3522023808910346,    0.9988797223267821,     1.1161550969424487,     0.134634831658522,  7.902170867041002e-3,   -0.8540008704362442,   0.33660694941563873,    1.1187040451347867,    2.478675845613027,    1.191342893997877,   -0.6562889689772273,  9.461424908643735e-2,   -0.7362031976716672,    0.9047164317890913,   -0.7829772632423906,   -0.47687039170958423,     0.595655023411051,  -0.10516775244140647,   0.37920310184745887, -9.470803628610877e-2,   -0.7648430958380776,   0.3861591944242011, -0.42192416611609185,  0.42834102210570224,   -1.0918345620029937,    -0.5570796335512365, -8.772627568801963e-2,   -0.7005051486577405,  7.832942356909413e-2,  -1.9814022362036796,     0.537986202665172, -5.285689245327735e-2,     0.9349617607076619,     0.9156084587300485, -3.264067798044128e-2,    1.9513834323294013,  -0.48075146370833427,  -1.9123461656076994,    1.1012243888611812, -0.35605726427047923, 4.221837847648342e-2,   1.1947667101613326,    -0.7061473334447163,   -0.4034423835085809,    7.07550589625475e-2,  -0.45244579482828207,    1.7110972529432718,     0.7623337332315401,     0.7921041761848542,    0.9584147364645685,  -1.3078853619234516,    0.47565674800382596,    -0.9928292376505754,     0.4782852174864138,    0.7169425981277922,   1.0486736306904192,     0.5531686493783483,   0.12828592616438075,     -1.031839894334307,    0.5206025410300944,   -1.0856760879492657,    1.5198107390430526,    -0.4199402365114951,   1.0864826635770508,   -1.5121503486355266, -2.8868168396827234e-2,   -0.5973237933156729,    -0.1669859761999408,  6.0755349637122605e-2,   -1.8982232819674394,   0.48030102368556676,    0.4649718054448608,    -0.8899485715449733, 2.415057118533716e-2,   1.3764446997414883,  -0.43279774035761237,    0.8565672166410598,   0.6152743876919821,   -0.6664923115784755,   0.3655320497982765,   -0.6526357314977903,   0.38438157574272447,   -0.5549780924206908,   0.7861515372706632,    1.8818455962507914,  -0.29282846940582336,  -0.8604180687739977,    1.1675969930467713, -0.12483390118799796,      0.16842316338887,   -0.4952220116467173,   0.29378016905147425,    0.45895567457712955,    -0.4409263388182451,    -1.5558238178475021,      0.140477056438117,   -0.719788152743667,    -2.380179220437095,    -0.7670003740725576,   -1.6899509866194538,   -0.9303348671087489,   1.6587073355423427,    0.7937763506917337,     -2.037049655198682,    0.8381825318068656,    -0.6991568681701718, -0.8588249793358984,  -0.8909858586384011,   -0.8763325504044533,  -2.1897155516960156,    -1.551867382220938,    0.19792788846797604,    -0.6414606328112272,   -1.1492397340474068,  -0.15326176364112087,  -0.21678442539683815,    0.3110598646912039,   -2.7105915375751732,     0.47919441311464,   -0.5317857462135448, -4.7025837918520906e-2,   0.16045712439101403,    -1.1765634842051425,     0.711086290387748,     0.1262376727474672,   -0.7620950634718658,    0.7407015766491054,  -0.6096608527126983,     0.4145877115319607,  -1.3679427483289126,   -1.017766153871532,   -0.2088292996518084,   -0.689920099907177,  2.2835018827297646e-2,  -0.2286586025550073,   -1.2922967725145218, -9.256231031384154e-2,  0.38048546484517387,   0.11106481778927739,   0.5986234278434615, -3.795358822847878e-2,   0.8205730129377337,    -0.6853527255771431,   -0.6201035397639602,    1.2090273885391825,     0.797019341044375,    1.372864049492914,    0.26000281144063603,   0.42935352867133597,   -0.4417078374022115, -3.155317711225881e-2,    -1.2992430949597102,   -1.810185983396249,  -8.420694697081083e-2,   0.1258985370238339,     0.761015304279355,    1.4411421702850216,      1.429995179832712,    0.1873003081617787,     0.7029054736616598,   -0.7674848012354978,  0.23695417517767622,   -1.0928384976374141,   -0.8501159973552711, -0.38528045255882487,   -0.5214719209281912,   0.14430528287750774, 4.901390720296775e-2,    1.6681023067182312,  -0.45166651523123064,    1.5810442335499137,    0.27781064817709417,     0.872916270724127, 4.7434006287315124e-2,   0.8855761200217689,     -1.072867570636877,     1.3287566298264637,   -1.1911497543669582,   0.8324547338069248,    0.7775752973969755,     0.7331879688180821,    0.9717260839419685,    0.21503322872529845,      0.62385906970506,   -0.43881267475364416, 4.6475045279446625e-2,    -0.8748665094421668,   0.9725581152412001,  -0.13880712354083066,    0.6469933993634018,     -0.63679281943114,     0.1490039604983016,  0.43540489894502077,    0.3554393421671228,      0.719066935144207,   0.7401927182702314,   1.1926075317537312,   -0.3069924303356129,    0.9743693938617304,     2.0660097993568987,   0.47703314808708475,  -7.928302183839112e-2,    2.300743423626679, -3.324149196415064e-2,     1.136725708807219,  6.322611992917385e-2,     1.4245267092305007,    -0.6919581040160218,  -5.580710506259078e-3,     2.150315914179248,     0.6712097497662857,    1.5023724490790031,    1.5039393001212407,     2.498187425003294,   -0.1022853141481938, -1.7068189605014734e-2,    -1.270294694755337,    0.6937556943108459,    -0.807432072405889,  -2.2507453986447468,    0.7739220524773955,     1.2933631570088837,    0.4613501569504935,  -0.49945812184840266,   0.17345120692106433,   -0.5420613262766858,     1.9244506652096456,    1.1154514170435157,  -1.6348807882365803,   0.6601819360090649,    0.8878466475696095, 9.698832960757854e-2,     1.355445345476705,   0.8593336738103005,   -1.1980076651449594,   -0.6444279458606862,    -0.8597149261801392,   -2.368510730182129,     1.2144801306301705,    0.3114519534113386,   0.49014818286796374,  -0.38523707338163743,   0.15230250988733773,  -0.8136565521678873, -0.7064801155739986,   -0.850050089490942,   -0.8580150760932127,  8.771202274852517e-2,    -0.7897872261135437,   -1.3423412373097794, -1.0225861402363253e-2,  -0.34248963638355506,    -0.7645509765732926,   8.063740013921708e-2, -2.1140757303401158e-2,       1.6550104383855,   7.170315475484708e-2,   0.11823367450024791,   -0.9401449170821821,     0.732829522607681,   -0.3682153973655334,  -1.0580863756414383, -0.19215575693116638,   -0.5143810123558814,  0.15319280072461547,   0.6884168851970828,  -1.1543995903782924,    0.3752458264458627,    -0.8859519085613967,     -2.73728265219971,    -2.159547137018928,     -2.318858546118044,   -0.6247452320294129,  -0.15113805947744893,     1.2074361532613194, -0.38956131843536507,  -1.9529178411156678,  0.18556950341433417,  -0.5512427928541138,   0.48555542637044913,   -0.5960288326167923,   -0.4051797575624629,    0.1667045170482397,   0.7264732611141237,      0.587247668863485,   -1.1992056960789663,     1.0725631925740917,   0.9033373240159384,   0.7365262969435751,   0.22634220383552436,   -0.24989047671721817,     0.5821641011126156,   0.5761965512395189,  -0.28139035074860824,   -0.9770357905107492,   -1.4413172180929532,     -1.223074764696864,    -1.1187712100514369,    -1.419533427473079,  -1.0076334680395713,    2.4079952212220253,     1.8769087660520278,     2.6464430709784734,   0.20439337784821623,   0.17632370535302783,    -1.0619499182539685,    -1.034535421248219,    -0.4926144017545331,    -0.983029667727802,   1.3037670815290119,   0.6934129246136637,  -0.7075211429475506,     2.746969651377522,   -0.2125437383572237,  -1.081304338148657, -2.878235727566824e-2,     1.0054791517367752,    -2.224250011024231,    -1.1989333043611445,  9.819177163458442e-2,  -1.1833360503189327,    -1.2972415389696315,    -0.9993024840491269,  -1.1178336540222844,    -1.5092314874177903,    -1.823250846222542,     0.5039473512756373,   8.559620971388403e-2,   3.2575273344900815,     1.3651681755754896,    0.6230675078948943,     0.6849496522827792,   0.9271722845552964,  0.11496257586968299,      2.35579826371858, -5.340184097903991e-2,  0.43186833525075247,   -2.5519212456205755,  8.348532546452198e-2,    -0.5664329674623398,    0.32029585766063456,   -0.8670854276358099,   -0.3392308412054981,  -0.46071039325028723,    1.5786077629165949,      2.965957685063195,   -1.6773058661024356,   -0.10918465280498969,   -1.0958057871358902, -6.84267082757307e-2,   -1.1937885620413966, -0.26855379244433764,    0.4690675332779634,    1.4355573909745625,      1.378986999013878,  0.19882642473289597,     3.076431722592197,   1.7338731473356332,     1.459203987973945,   -0.21722009027185818,    0.6964810172246333,   -0.5187476645629623, -0.10364672800364298,    -1.070848061199687,   0.35979050978411875,  -2.0332097582586988,     0.5902780234972846,    -0.6936220795440061,     -0.624452183226119,  -0.2509453201541747,     0.111801677486142,   0.1801004029762901,     1.1810698411971667,     0.2227935101611492,  -1.0545874047409907,   -1.1565238345366775,  0.19721004952419902,  -0.9172687516231396,    0.2586229410290926,   0.8711729058980784,    -0.6345882225897865,    1.2573151970511145,    1.579317200205316,    2.090773595647212,     2.290749549964854,    2.6576742867391343,    1.1384127951472354,    -1.107516498618683,    0.8396870149418938,   -0.16851945377708102,  -0.20695824264036658,   -0.3818797629812913,   -0.25361141555055305,  -0.8192097325956603,   -1.4399870273428528,  -1.0032609008495188,   -1.2112038802720944,    1.1207957523813163,     1.3655049838308588,  -0.25900731901436713,   -1.1167506197629682,    1.7071284795916886,   -0.7714467570360833,  -1.7960917842805022,  -1.7879893286152801,  -1.3327446389326225,   -1.1237760803081487,  9.834136587610556e-2,    -0.8716627198454657,  -0.26783476748225354,   1.4520231124214629,    2.0012590399859387,   3.2901930734000904,   0.26824081449252496,     0.9127817533871112,   0.42565013632005505,   0.20393659488441165,     -1.330775751011771,    0.34395526969199164,  -1.6348637160665216,   -0.8423635285566281,   -0.2988192997717253,    -0.2023618201461093,    1.2261180708602266,   -0.6954383273693157,     2.291196850017995,    -0.8032924764535351,    1.3246334373256305,   0.43430096236012883,   0.28629038401868484,    0.6792966800400749,   -1.7568189424059837,   -0.543753755998461,  -0.14755906846918784,   -2.1668698067903285,   -0.6884879800581942,  -1.5131447164950989,  -0.2803474472971061,  0.47119463927546784,    2.6949293098958313,     1.723197217481631,    1.6916704906145144,    1.0380433996192733,   0.29209276751923213,    0.4205197760597708,     0.756792930786264,    -0.4246299859382324,     0.1349566480295038,   0.9772179561457315,  -1.0612463939156176,  -5.671324364071542e-2, -4.200197975252043e-2,     1.0325481866825332,  -0.21102114471906236,  -0.8146295254754137,   0.6401245948689076,   -1.585058136149319, -9.004893282622127e-2,    -0.2647412320016528,   -0.7364713531666256,     1.855949544627917,   -0.6094060435495795, 4.5705122781571524e-2,   0.13188639760315077,    -1.1179362955761247,    -0.6166509769814017,   -0.5137947800960665,    2.9799746215679765,    0.624468244424219,  1.8532838996050462,    0.21372446758245225,    1.8959464541229636,     0.6054116083267996,    -0.6526182540375941,    -0.6237339662299219,    -0.7106163304147269,   -1.3729953445570109,  -1.3539999754619187,      0.781785167154492,   -0.9193919915636278,    -1.5001528065796959,  9.619113049413693e-2,     1.874144266314651,   -0.9657564994990387,  -0.36670012493218357,    0.6215887602634415,    1.4734514321959173,     0.6423751671923662,   -0.7737548426930455,   0.6179901134492006,     0.1363775388360589,   0.23120583331710434,  -0.8431601374240831,    -0.5960718941965556,   0.9617371234280498,    0.8054003715683021,    0.1285809017786329,   0.10741666731244405,    -0.829220478147199,     1.401272038699801,    -1.7705280484628874,    1.5942787634145905,  -0.39550571931414585,  -0.38340796473364885,    0.7562917943937415,    1.1613776039560857,  -0.9758871325442177,     0.9716816457329825,   -2.4599674203568536,    0.23694898875381892, -5.524236248005889e-3,   -1.8993269243755408,  -0.46750152782397425,   0.46722028627116674,     0.5718732020316282,     -1.074584051070935,    -0.7369645259252429,    0.4599569795668774,    -0.7064750682489831, -0.20415151024796258,    -0.6167017394157527,   -1.6986935454267857, -0.24196187728175728,   0.3935700213633144,    0.3826525458698728,   0.7680264377728092,   -0.9712685082567745,     2.1842488852499358,   0.7058881821032893,    -1.3273569863309949,   0.3515448105488248,     1.360133825454685,   -1.1274150173875253,   0.8492256076075821,    -0.6122437794288402,  -0.7045880083053314,   -0.8563587332713772,   1.5687381309814423,   -1.949918358592556,   0.8458117605707335,  -0.6639633943125665,     0.8168658659956303,    1.0953811068704111,    0.8408620053229091,   -0.5945594402729353,    0.742356690352976, -0.20334886614090325,   -0.5181368401035056,     0.7099088575356035,   0.40209922081851035,   -0.8514798131050565,   -1.8027869179319165,      2.22386529918985,   1.6142547228433677,  -0.6220000340004967,    1.3848683070870837,     0.555185999363563,  0.31094462578449283,   2.4345940900599214,   -1.3011815765260983,     0.7136477167234277,    1.2717793139367821,   -0.1001744396807471, -6.073806531579775e-2,  -0.10492826682156026,    0.6560510366468085,    0.3174481559234463,  -1.0613611216932313,    -1.6064447106666893,   0.7693143186999261,     1.1748413340385484,    0.9515210442918695,    0.8220286270712168,   -0.6167694880747043,  -0.4046688723114921,  0.13819279864641812,   -0.3611129456193038,   -0.8698101359633589,  -0.9356114351938465,    -1.5824323448197948,   -0.6295056535150921,  -0.17290666679878938,    1.6958910617076939,      -0.94359647550671,   1.3361826463187916,   0.6049627663920676,    0.7542547298788229,   -2.3013992426906027,      1.629584515212172,    2.5715348241175193,   1.2081433414070162,  -0.6146502225557801,    0.3322117494819012,    -1.466206654670036,   -0.5142383811333304,    -0.671119707277599,  -0.5419095156179727,    -1.2075256330792519, -0.5538407223924376,    0.6220595514426602,      0.553349428265068,     0.3895175190436017,    -1.571020942099328,   1.7824879520057042,   -0.8158362969359516,   0.19093358826350926,     0.492648198129807,   -0.7566698227308831,  -1.1107555870360384,   0.4735516191620397,    0.3815317189051174,     0.3721058778656176,     -0.521054856754288,     1.2990811306205947,    0.4608953548187876,      2.171959840959961,  -0.1108919492306859,      0.733281885038603,  -0.4436500225144932,     0.9847302778800233,   -0.8974305196139646,    0.14513421711998326,   0.36768082055012913, -2.3697381241726437e-2,    0.1078196667060109,   -0.17092430147006546,   -1.0486378491527142,   0.21324482609642761,    0.8633350933717141,    0.5391012301270673,    -0.9946331800972673,    1.8060545213311197,    -1.1390816956255512,     0.7137175713899835,    2.4304077798981214,     -2.064975776773023,    -1.0724800548458393,   -0.7221231866358342,   -1.4500261082769328,     0.4105568862019852,    1.9134956833329715,    0.6422314290267518,    1.5565150738260287,     -0.477012980833747,    2.2814767455679794,  -2.6621047141998844,   -1.3323142936237868,   1.0855850172398966,   -0.4816905839929385,  -0.6271923325860009,    -1.3776753043079506,    0.9148424729495025,     1.4515243277354686,  -6.065202461005583e-2,   -1.0406746549089188,    -0.5861258739850231,    0.7888442992248976,  0.30692746820531325,      1.361919075715895,    -0.4959391053365016,   0.9550864393763415,   0.7477460247300176,    1.0834237655850727,   1.9001902605076175,    1.0364669527205916,    1.325084279008112,   0.23212730663643827,   0.45394268655742065,   -0.9207449541683551,  -0.17452320509307018,    0.9056836245584186, -6.413869585017701e-2,   0.43292090965943225,   -0.9372582950686154, -8.031329678540841e-2,    0.7528246328926701,    0.7440667296680722,    -0.6979410236937547, -4.4179151797197544e-2,    0.2565898940510156,     0.9653805850186098,     -2.054441783283945,  -0.10836746494478985,   -1.5292056302966557,      2.08881536554806,   -0.403570685157205,   0.4456197899085248,     0.3484737931638348,    1.3676684230111689,   1.6190762017946427,     0.8631047457851788,    -0.9350931244752776,   -0.7044047145490501,     1.2910858594207877,   0.18182946749130482,    -0.8940900139643314,   -0.7000281670795423,     1.272629367425261,   0.38361742900330464,   -1.4626208407739023,    -2.274076940233795,   -0.619927812194961,     1.8807963065815805,     0.187314073133879,   -0.6681611762904632,  -0.4494794309008826,     0.8174070631654269,    0.2645471216808705,  -0.3137764951605895,      2.8982947115313,   -0.7879980160115407,   -0.20186407587735924,  -0.9802451209034846,     1.1659102433364292,   0.6218518694607664,  -0.14656476577223537,    -0.2428498945049473,    -1.561752111681144,   -0.4062393232040813,   0.3702799865661427,    1.1006291463206381,  -0.21697399180421537, 1.2024987431505285e-2,   0.6158139837828712,   0.33546723166333703,   -1.2528944806474396,  -0.14704115936738812,     1.7665224654219343,    -0.946036642883971,   -2.0752815880541964,  -0.18042848766873723,   0.5479007134821626,     0.715059704262879,  -8.927070700185555e-2]
+    ,[   -0.8173077445940545,   -1.1896049527912702,   -1.0560446902298775,  -0.39799471297657485,  -0.24082425993654216,   -0.39394440133165737,  -0.14108438221521316,  -0.10243321122186265,    -0.7840179763965381,   -0.7283457325462839,   -0.6669563535193289,     0.6658504177988548,   -0.3990110794166446,     1.879797998900322,   0.43521095296463297,   -0.3208888183155968,      1.08732661924342,   -0.7395009352515055,   0.25939867981581727,  -0.9689568913233729,    -1.6559625965357343,  0.24478693118895112,   1.5452257894999788,     1.904579432530906,     0.8575499565175903,   0.6759076918326115,   0.8558279909834736,     0.5479429010021325,     0.3255302941963734,  -0.19006427944037463,  -7.934879954703171e-2,   -0.9026852331141483,   0.14493119162556015,   5.667746801403949e-2,     1.000263052056217,  -0.20787779028692457,   -1.489652867726382,    1.4140403691075847, -0.24490817226496522,  -1.6360102883941159,    0.5682672071058559, -0.46082641564121357,      2.039245103114621,  -1.7058242848571326,  -0.49191606379721176,   1.0737640648664506,  -0.48549787718224446,    1.396018193838547,    1.4178916873036993,    -1.239560835741034,   1.3428225401448641, -8.324117591778069e-2, -1.7063870077281693e-2,  8.710060534311208e-2,   -0.9257902979141532,   0.16962331232015984,    0.8387333643112184,   0.14322917196432336,   0.3633990167676209,   0.8162539715026929,   -1.6281954449762732,    0.2866546661054462,    -1.459197472571718,    0.8963512598652335,   -0.6487832999464089,    0.46777455746641333,  7.852066982801345e-2,   -0.1482876600378697,   -0.6070902241597887,   -2.1535366294605383,    -1.715047386898917, -0.49526315760810485,  -1.3270519980997366,   0.8249839786533834,   -0.3349894907003609,    -1.0945975752893622,   0.12578273067766446,     0.126721468039687,  1.314273472858884e-2,    -0.62524059797117,    0.2752323937881298,   0.21967681641689812,     0.3446441778296996,      -1.20787120815818,   -0.4227609941127423,    1.5285285332848235,   0.39083304236594735,  -0.1773139253230198,    0.7199383115325462,  -0.8357325215198556,   2.0475828468200468,   0.5108348984966895,    0.37850020815028695,    0.7737203987628842,   -0.43950266858192066,    1.7817842517285563,    0.5309429047635501,    0.45161293855832585,    0.28668993829066447,   0.47235552525485075,   0.3203747176312528,    -0.4769485924714924,    -0.6399146943835226,   -0.11036930416931569,   -0.8528394389221761,  0.14313559289829614,     0.5219398615787009,  8.803893542272202e-2,  -8.272700344629872e-3,    0.9704153580219524,     0.581045543671917,   -0.4656921972973971,     1.2505008468952288,   0.3213457057609774,  -0.10716348301134816,    -0.8673279003427633,   0.18163979243913878,    -0.9053076784643924,     0.7327918298916348,   -1.3717473719024882,    1.0784809398094477,    0.9907528922906749,     1.0387334620075808,  -1.8409345344693047,   1.1963651776070963,    0.3049565140750569,    0.5363100790026633,   0.5686839410784282,  -0.40822743927838506,   1.4526332161632334,    0.5235462668121582,   -1.7599859318322255,  -0.18707591953046002,   -0.348903431042776,    1.1023265530891475,    0.6984422088753779,  -0.7191183879701724,   -0.2762160225138623,   0.8600900272962809,     0.751114028653356,       0.5973006503534,    1.4802871386655807,     1.2426817476138734,     0.1906459925120379,     0.4632200754346792,     1.2669587988796251,  -0.7069770592340703,   -1.0005109696482837, -2.4489830830294365e-2,   0.18940833724651113, -7.671452454003709e-2,   -1.181897665917235,   0.32250170777251314,    -1.6619184053548341,   -0.5584118098034719,     0.5839208148256905, -1.0946308803347617,   0.4832822374587744,   0.31422546036390375,   -2.197583202076269,    1.1759027198276337,     1.0975645895390116,    -1.8594107334357721,   -1.5246421484114863,   -2.2567285564841733,   0.20862254839759561,   0.42824721734066473,   -0.5877066968798128,  -1.3023352091952223,   -0.7214677260252219,     0.8889591336220877,  1.904210883283872e-2,    0.45661448738873733,  -0.13241251466504317,     1.4828106195059174,  -0.15777657691561056,   -1.0193924974280835,  -0.4900511425584021,    -0.6586322555001222,   0.9002810903377778,    1.226368977117706,   -0.5283285891461261, -0.12681289789216274,     0.8176422270636339,   -2.283504797395727,    -0.749219921658494,   -1.3089369272559512,  0.18507595805781119,    -2.106375277597384,    1.423130555120935,    1.3091900396806635,  -1.1072505799275494,     0.6194646304703129,     1.985883324832826,   -2.3907758708001605,   -1.2004292249922666,  -0.6314130703784722,   -0.35030751076492184,   0.44571009466780626,     0.936234353853824,   0.42868113071495983,     0.9250908520148312, 8.725359018528428e-2,     0.1611196082468785,  0.42283907109931534,   -1.6326978504297855,    0.4527732938323724,  -3.984633941229756e-2,   -0.6154197128231259,    -0.8609819544685132,   0.26523807271774136, -0.27386387178714755,   -0.4089784913516781,    0.1791479801832189,   0.5236559677477198,   -1.2462213061843745,   -1.2077126694281328, -0.24132902463363698,   -0.5251681990444187,    -0.344832654764284,  -0.26649147760100206,    -0.8708509680890091,     0.980217974093069,  -1.98884455329847e-2, -0.48856042912248016, -3.4858009807864126e-4,     -0.866258369172279,   -1.2140064189054107,  0.36146837591083664,    0.6614633981494069,    -0.2626089825543956,    -0.742928969015238,    -0.5098089622342511, -6.541185606093944e-2,      1.407917179730492,   -0.4631679911051649,     -1.329160509796125,   0.3536213823157228,    -2.403764824529781,    0.2634659240832276,   -2.0224777307125112,     0.4053143281115589,  -1.0666035441782349,    -2.015331859428354, -3.7783011559116786e-2,   -1.708109222910054,   -2.310384663993494,   -0.6685868189561404,    0.1905628067539648,     -1.467795303522074,    2.0001406918680615,     1.2979094304639556,   0.8634323358868342,   -1.0063363487556856,   -0.4292357087651968,   0.11230044124216004,    -1.6478238635884606,    -0.8257045496817916,    0.38204591339524246,   0.20270587426861306,     1.0006869020647309,   0.33871949828354087,    1.0748709478191556,    1.8946448646765006,   -1.5628397219821488,     1.2307710140222752,    0.4837644008749635,   0.44437311051250766,    1.2342448967527435,   -0.564247599630772,   -0.1963231597867119,    -0.5916503086994926,   -1.1801762976206485, 2.1799543899848915e-2,   -0.9761801145688287,  -0.14880725317143206,   -0.47495961008336945,   -1.1432388054730436,   -0.849242533437041,    0.663187175467001,  -9.87864331209366e-2,    2.257725243344149,   -1.2756079404881795,   0.5643847279399187,   -0.5263388526922259,   -0.8774530068052815,     0.8138183592896807,  -1.3827576463375926,  2.3638536818586346e-2, -6.923979178578239e-2,    0.8767465024637253,    0.9263903757767614,    1.3541629695853503,  -0.8194662538992543, -0.7096775395782663,  0.10120955139626166,    1.1012005686433781,    2.0325339509720552,     1.0693126889222866,  -0.43205534014946095,    -0.6973998237285681,    -2.014721144180071,   -0.49134025168365475,    -1.0761904599041061,     -1.962761943000802,    0.9700538765834793,    -0.5386818393500472,   -0.6094009828098447,   -0.6777313303452728,    1.9609138106266244,    -6.415701529438e-2,   0.6309227455190404,   0.6334682365427562,    0.7047038019266829,   1.2401903257171702,    1.697389969379548, -0.35249225942271273,   -1.5691771828039893,    0.18303260285864634,  -0.49105953252640494,   -0.9314962475041833,    -3.3003868789130304,   -1.0982313852201722,   -1.7148785345351663,    -0.5812588535884693,   -2.718129577722112,  -0.8553081837248562,     0.77747594684346,   0.6069353690183679,    2.0898554776459983,    0.3904526994007666,    0.8862432646004009,    0.7943779432420762,  -1.8870598314991065,     0.5455765664783567,    0.1500861926239799,    -0.1330733653667254,   0.1914865173337699,  -0.5462084420730534,    1.0655853963190463,      1.142328875197422,    -1.5297848645773684, 2.786407700212102e-4,   -0.4929764691162823,     1.714487968551702,    -0.158302047960262,  -8.499928303858961e-2,  -2.024390879799371e-2,   -0.9433879176572337,   -1.898701627548342,    -3.795321024434039,    0.14065513171320046,    -1.1240723703419087,   0.21567390928626326,   0.21771698886872035,    9.88989372236465e-2,     2.312378055629445,     0.3337109972193301,   0.15425976115247897,    2.447492295975698,     -1.3314116342163,   -1.049329890035992,    -1.703539832245422,    0.2139544211433166, -1.6899517749179718,    0.4908169796816596,    -0.3910694952286541,    0.9923651928829786,     1.2789795696048407,    0.5418135265021026,  -0.8858111166916041,    -1.0421537492671227,    -0.2906501489320976,  -1.2310554605038437,    0.33738458564203133,    0.4683096656051091,   -0.36323633052885035,    -2.2937160290614305,  -1.6002989697593126,      -1.30147612766895,   -0.5028508373637738,  1.5617396603831667e-2,  0.10850506924752523,   1.3195975387305088,     1.155792767960876,     2.037481451626794,  -0.9923593130480669, 1.2864577039814415e-3,  -0.11755151736935995,     2.6546838573963263,     -1.612716042827337,    -0.972325933311833, -7.101935851723551e-2,   -1.4146445174385167,   -0.8425083470349849,   -0.27645953168287424,    1.1314505918031603,     -0.739056899160607,   -0.9922895290037046,    2.153965577591093,    1.2762808476643834,  -0.1132896041077238,    0.1262345921167276,     2.386941554312735,    -1.0825311199247623,  -0.8164262458350269,    -1.759153370735942,  -0.7962119362983064,    1.1477770686686048,      0.574676308746575,     1.730406335078889,      1.65468696977788,  -0.3096559437278271,    2.1733035749028065,    0.5522214945466328,    1.961167848031944,    -0.1793344187063557,     1.8493411182395842,      0.504814125167213,  -1.1244161555816443,    1.2681243338872232,   0.5854077905082067,    -0.8414003284300191,    -0.6159767046368859, -0.20462375610717964,    0.9592126788077238,   0.9181747742690356,    1.360058610454199,   -0.2870042768192299,  0.34420247310414054,     1.3368308164708864,   -1.5800274974299586,  -1.2522908718740877,  -1.2365586677861131,  -0.46279486348272236,  -0.10378714957907934,      2.69798623818933,     2.262147055491698, -3.279051861046484e-2,     1.4508200497553025,    0.6305814368637291,    2.2085858651681014,   -0.22231824968709973,  -0.6575614314087734,    0.7738752710595868, -0.14759475602528943,   -0.9866121368526793,    0.5971710614470012,     1.0126830429962925, -9.803520530592472e-2,   0.27500746818469635,  -0.36305610556972145,   -0.6387269932379941,  -1.4598681474041237,   0.1260862522347828,    2.231301639556531,   -0.7648040236898651,   0.25463674862678937,     0.7294643679380238,  8.203733566663717e-2,   0.2898205425118565,    -2.229920767565935,   0.5568967947035848,    2.4849150057236886,     1.5388530458725134,  -0.10957655235963093,    0.4395335742405478,      1.068218615413848,     1.4129382168141875,  -1.2750826556840833,  5.779188500616344e-2,    0.5716256368013346,     0.6343993501637207,  3.866393191155357e-2,    1.1727161660056247,   0.12143393727485632,    -0.5275586600858201,   0.16782342160222619,    2.0833898691391037,   -0.5437487776276868,   -0.7714729861944548,    -0.552469727877198,   0.4369508907331395,    1.8635259110610292,   0.49397798803570103,    0.7189303847609448,  -0.7268710019220984, 5.066074776607879e-2,   1.3092911164358676,     -0.55673398702562,    1.5295077189072988,    2.5589383122507194,    0.6592852515884342,    1.9722341556453273,    1.5925441278819443,    0.7439966884009986,     1.2627741773690258,     0.3680918343740978,   0.5922045149768039,   0.8608531842564131,    -0.4578485300038156,     -0.22925373689851,    -0.3796646986269215,   -1.7118732929208722,   -1.234588415106471,   1.7303601648544218, 8.664715854748475e-2,   0.25881475762962564,    -0.6358656724675767,    1.5388020016189925,   -0.4859820006637418,    0.4391599837749563,   0.34183026497260166,    0.7010532833331743,    -0.3939562273826851,    -1.2100132493421696,     1.614663102641443,    0.9316011407352336,   0.9290073187465947,  1.5134776602199151,     0.5954214820132312,    0.8212084920350069,  2.6479116802200053e-2,     0.6845950353590939,   -7.67583556215902e-2,     1.5614173171018237,    0.3846314161308672,   1.6900696945580076,    -0.4434103923005566,    0.3934315659504879,     1.0524614050295982,    1.5705190581819748, -7.333692873575054e-2,   -0.3548346662695912,    -2.249701432435698,   -2.1220253062643644, 1.7055026118656967e-2,     0.7135134003457636,   -2.0072648787508114,  -1.3638381784025682,     1.0422655584144944,   0.35754028399474513,  -0.9544544807637141,   -0.47879526597006467,   0.7502610322100153,    0.4230501514659817,    0.7537572095030742,   0.23492414482420784,    1.4054815379809815,  -0.11891813778564224,     0.4172835654458816, 2.5571271425476636e-2,   -2.3135190506985053,   -0.8232049963933352,   -0.3808060988920418,    0.7379344320170046,   0.5755942439901627,    0.39555978218571014,   -1.5478838207684213,     1.0734045469929625, -3.704459431772381e-2,    1.5025709655712358,   -0.6473884316320621,  -0.27378804707039645,    0.32375862607641603,     0.8650972237781192,    -0.4868139414977333,    0.4214399959281094,    -0.5112957701760935,   0.1279880736969529,    -0.9546074274031501,     1.866154021313108, -0.12016022896122118,  -1.4139328182980828,  -0.36641158879142427,  -1.5128612853192571,    -0.794116449259652,  2.5777367764909933e-2,  -1.9160121081499777,     -0.400047019278315, -0.11767400381505096,   -1.2401881566623636,    1.0519544122484195,   0.4266563194878611,     0.6045217763562954,  0.16806546452547466,  -0.44188804644924035,   0.8714904851661803,   0.8673819652632978,  -1.1208141593632328,  -0.8959027099575217,     0.1748364035088545,   -1.2222325725073164,     1.030867958919518,    -0.510881467852121,   0.4015163061252435,    1.862615597392113,    -2.259150897979098,    -1.0532952537818756,    0.8478175146600332,    -1.145121430122702,    1.1323789921787504,   -0.9863852647866123,  -1.1614449905478457,   0.5661419673557582,   -0.7649379797466124,   -1.1107628134065826,   0.4777634541434885,  -0.6039936516004021,    0.5366163302062004,      1.332888244504477,    -0.620210583939193,   -0.7588470570742106,    0.6568954378913067,    -0.972683904071036,   -1.0667531052791255,    -1.374597698068087, 6.833888127458221e-2,     0.7871933650077881, -0.39030202410418513, -1.6814985924357036e-2,    0.9113738481683124,   -0.2849160802775473,      1.85821700481068,  -0.2914122875842629,   0.6775765684135613, -8.144100760483865e-2,    1.5158685050152019,  -0.5762504295065017,     0.3057690203906781,  -0.14605505139239142,   -0.7064700760579565,   -1.0276000406311387,    -0.9533449750787303,  -2.0594720994465803,   -0.361086840603948,    0.9969800129908429,   -0.4093985624439558,   3.707685931924592e-2,  -0.16880126137029133,   1.3223800114826358, -0.42914115230654964,   -0.6379658432310423,   -2.2215135067897034,  -0.10730862932155337,   0.16602233302168598,  -1.0454988515017751,    -0.2359222815025278,  1.1240463282821005,   -1.1617644695480496,     0.1112834213043099,     1.8800422986330867,    -1.179530659465243,   -1.416662528158269,    0.9226496693627002, 2.4577522190376323e-2,   -1.9855383920155163, -6.572536646815608e-2,    0.329800040872072, -0.23060103089787518,    0.6645727560875712,     0.4642982000484735,   -0.17622966068000914, -3.7695690291685356e-3,   0.42170730720275057,     1.2562345283591108,   2.6394463674865056,    -1.0235421982048964,   0.5800406357061161,    -0.3901255494886906,   0.10451140158140686,    -1.2231163082752108,   -0.6357835674426119,      2.730323717930136,   0.32407784212073537,    0.14304168811255277,   -0.7408413041987694,  -0.47633996489025315,  -0.19635134356785458,   0.20774543715967597,    -0.8670857646818708,     1.130422078129609,     -3.602683162535064,     -1.192932863728793,   0.49879811151948616,   9.883621880770377e-4,     0.8627233991759508,   -3.0688384667974784,    0.9445654114293728,   -0.49112241157376896, -2.026201734478307e-2,    0.9218650081350539,  -6.55102556489385e-2,    -0.7319650333518891,   -0.7620869558256079, 3.223812507461415e-2,    -1.367178322530718,  0.34099321866450794,    0.9741241922897965,  0.13486384291752465,    -0.9900069844016799,   -0.7732543217838311,  -6.648636744888173e-2,    -0.9502115691754275,     0.638830512559433,    -0.8197895438300951,  -0.22147138325084334, -0.31483112855180856,    0.40473972418007004,     0.4619540681419669,  0.19073722191072284,   -1.048922064345598,   -1.9001900969455656,  -0.7026470743566922,   0.20664102373670648,   0.9465926768207259,  -0.32190582764968617,   -1.2262929190718859,    1.3270050130041913, -9.425804815645639e-2,   -1.0677501989291098,  -0.32524115688290006,   -1.8983734722388668,   -0.4390952260499836,   -0.8203123706831968,   0.22677529055022658,  -0.23260354231169517,     1.1943403083658133,       1.36959078674381,   0.22663039759494835,   -0.34693777684807553, -2.6716550153699664e-3,   -0.7389768588915483,    0.9483337023744018,     1.802630767986514, -0.22746865175471767,  -1.5836751362613866,    -1.0634452063307427,   -0.6685455280879926,    0.627718675322329, -5.8015094354939546e-2,     0.5749691508970547,   -0.5181469600595816,     -0.725596355403095,    0.5543685995509244,   -0.30710051752865564,    0.8247911640074883,    0.7908923356438868,    1.3570116488383708,   -1.0336530279496026,   -0.6102821597507841,     0.61765076715368,     0.5071196835916314,   0.14826865361292166,    0.6632026919066415,   1.3694877174046198,    -1.1108497067881236,    0.4774453611454115,   -1.643041420496585, -0.17570592737509952,  -8.29291997475978e-2,     0.4473313230302593,  -0.4294511979662596,    -0.9784125160705234, 4.115532535489264e-2,    1.1083932501832476,    -0.2508710941514695,   0.16450986796997705,    0.4359700315069559,  -0.7878156562230447,    1.5747274929430704,   -1.0126148429193178, -7.751363263891306e-3,   1.0433831468348838,   -1.2396198248113859,  -0.11588758463773541,   0.11101277625137923,     1.4432053640679892,   -0.9597047272020983,    0.6190507338063439,    -2.029837139776247,   -1.749533575244382,   -0.2552291701431236,     0.2691621609264992]
+    ,[  -0.23354214495179745,   -0.9998132626461956,   0.48782622256720104,     1.461078193319781,   -0.2895145086597143,    -0.5314600874879724,    1.6349824115804497,    -1.310920460796113,     0.6559461286601811,     0.297210161781168, -7.511755235136824e-2,     -0.623960462659848,    1.9561710082719166,   0.47055562478405527,   0.27528880240014136, -7.322345562268198e-2,    1.3375529784055336,    1.0514512022188913,    0.5780608179623518,  -0.6800635082878613,   4.973691363158587e-2,   0.6844524736951557,   0.1305962586053084,  -0.44780782323109114,     0.5302374054945165,   0.7179608471603007,   0.5687475236436449,    -0.7575587762825333,    -0.2590251684390755,    0.4698319802988003,   -0.37687214952590203,  9.574622751628646e-2,    -0.511084964875919,    -1.8913627451598436,   0.21701074445109014,  -0.41830037368660716,   1.4920467205623278,    0.8353597089776705,   0.4652698686805112,  -0.6095494535685336,     1.904455277944226,  -0.6895438003246139,     1.3583043968741542,   0.9731519553586347,    1.2171849204566525,  -0.4005448854642598,    -1.663282465243828,   0.6353515701952533,    0.3045241716121182,    1.2610235440802746,  0.10736980305086548,   -1.4696872044515152,     0.6130853984708207,   -0.3915315184512384,   -0.4586657364022161,   0.10867604822685696,   -0.5589327715104849,   -1.8697521677808902,   1.8977526975636396,   -2.782729464843046, -6.722556785618447e-2, 1.7993299859475818e-2,   -0.8417876997397445,  -3.43706019367885e-2,     0.371010277002343,     0.3285471175824904,    1.1045713480470616,    2.5488724560679925,  -0.23521833196400482,   -1.0466700223565149,     0.784237224727457, -0.11822194494946016,   2.0547377342024937,  -0.1401921876943153,    1.9607708664940608,     0.7277795773427229,   -0.5866410162771665, -6.716724840139203e-2,    1.1114519187860985,    0.525181900019282,    0.7793199934715107,      1.49843880644947,      0.706998170306886,     0.2582381454994725,   -1.3463121034170662,   -1.1947300751856273,   -0.1730756644653339,   0.7375033375784147,   -0.5347490083378804,  -1.4926028196913532,  0.48611270416179897, -0.11162160465538758,    -1.3998037192099477,    0.5010530012139721,    0.25295067569530905,    1.5640401623961797,    0.5096869787313447,      1.051467106767324,     0.4118653492972834,    0.9093840206863607, 3.889734097178961e-2,     1.2192392852062397,     1.2798158167245588, -6.0776257274501304e-2,    0.7915352582652216,   1.1369363642432642,     2.3853554027265047,   -1.5352047740641381,     1.4660657451572827,  -0.48942848357014906,   -0.3371973417950974,    -1.315254703136328,     -0.511025545883468,   0.8662232721179528, -4.273341806487407e-2,    -0.5374248925361443,    1.0258137257630815,    -0.4361184086862404,     1.3365363327583992,    0.2383545382521377,   -1.4838573760770664,     2.659775351258093,      2.349363019752549,   0.6587950037677819,  -1.2041978255019852,    0.5713443526287248,    0.9583752847255566,  -1.1945129875299196,    1.1306380707279051,   1.3958643551441703,    1.2822133862557374,   0.45383012719513177,    1.6535948081626966,   0.9592299028050844,    1.2920185918214508, -9.664647634150104e-2,    1.804834990824376,    0.6087121427016634,   0.5130420807139924,    1.2567416803703513, -3.662894659152104e-2,   -0.9048848019066104,    -0.5672712078832393,    -1.0325640232820652,     2.5507069397336526,     0.9523163819375251,   2.2770607180335145,     0.929826667557535,     0.9513514721894419,      0.72168268196196,    0.2669082363449586,   1.2101471700377036,  -0.12832059448945737,   -0.18156184519246213,  9.784028119288866e-2,     0.8539756632452882,   1.647151270230224,  -1.2665424212516398,    0.8128891661362232,  0.30503894799106573,    1.6739767305137248,     1.1429480768475173,    -0.9177190141766423,    0.8440416330198534,    1.2233932393405567,   -0.7888634167554295,    0.8908470700075057,    0.4738083279516317,  -0.8859207001986097,   0.11872116562257673,     -1.059662392481392,    0.7423127108668325,    0.42775767762252775,    0.3705912617914325,  -1.011749478495245e-2,    1.0801490346620481,  -0.10255234436564081,   0.7456268193330983,  -1.376247386448644e-2,  0.19881330210271353,   0.4532455838169133,   -0.1313301279265294,   0.1369033432995631,    -0.3967410091556174,   2.1547359267912793,    0.5084688312818506,    0.6004541223387686,   0.6170020167680592,    1.8041240077306822,   0.5357865553028786,   -0.5489261495092832,  0.27713940518328173,    -0.7494822635887138,   -0.9737225876567628,      -1.6511039712964,   -0.1746409868681366,  -1.5391137494777438,   -0.25212003992618176,  -0.35795889512226237,  -0.27670574241059803,    1.2382468736320678, -2.9495434892383697e-3,   1.0235068581924698,     0.8833760004771142, -0.22152127902819996,    0.7060135015547578,   -0.9756295634339178,     -1.044182433643008,   -0.4926398214501105,    -1.2155202889687826,    0.2861629523366649,   -0.736204151079183,   -1.4104498980707831,  -0.42887608566968816, 4.456744985439306e-2,   -3.0292737969721566,    -1.184972274930476,  0.15073354906343225,   -0.3667699193629327,   -0.7124317735783917,    -1.201830841847537,    -0.6350442907156995,   0.18912266775406364,  -0.49145151053875036,  -0.7470674570476237,     0.5152621073340756,     1.6080358089108424,    0.3308164289818241,    1.053317000092318,   0.10292882040304843,     0.6593102471673771,    0.7088624883164913,    -2.5371856189074276,     0.813833603020806,  -8.758109162239097e-2,   -1.5852619287142464,     0.3835406421217969,   -1.308241920486632,   -1.3818436913464678,   -0.4861375737419638,   -2.4535423045111058,     -2.573158254103656,  -2.2027883713674883,  -0.31193817360398185,    -2.2716047318902226,  -0.3941896231620452,  -1.4814550458567062,   -1.7163059202205542,   -1.6295247240714312,    -1.9541381458194225,  -8.87081608600746e-2,    -1.1860945933620606, -0.38911778477429626,    2.1234689922742134,   0.44931054570257495,  -0.20534005667534666,    -0.6774920791688753,     0.6592559912914105,    -0.6321877911224396,   0.46943543569690044,    -0.6749804334026773,    0.1793288524751213,    -1.645289832307505,   -1.7671921263283417,   0.49784517254320276,    -2.3370149179423825,    0.9850739272284819, -7.633499616385823e-2,   -0.6105952353462611,   -1.148321278993844,   -1.6152437277486795,    -1.3011330991145351,   -0.6476577355537227,      0.55188311463323,    -1.599683226710771,  -0.17549166110886497,     -1.379861042499142,    0.7173305179147099,  -1.0839518677888658,  0.26433239261168007,    1.9358329709430742,   2.1276979293261884,  -0.18986359363137714,  -0.7266391978779236,   -0.5164712638083587,    1.1270256307832063,     -2.292482503640092, -0.39414335202338335,  2.8355485416435885e-2,   0.19921129506365515, 5.0468078716434266e-2,   -0.3115038758807576,    -0.516351526653578,  -1.2697967513721948, -0.2548076999970777,  -0.8720720465166099,   -0.6366487350103289,   -1.6011583529945659,     -3.205498694920618,  6.073798960084151e-2,     -1.790342755101941,    0.3299046102629769,    -1.5312628674040831, -1.3116919458502069e-2,     -2.281911254227244,   -1.5322563297710678,      0.823031271382206,    1.1393642198246552,   -0.5432627776919876,    0.5610331793729689,   -0.8127444844371263,   1.2107654593010606,  -0.8196773699326106,    0.9890886727582282,   0.3953138813002563,  0.26798453826306784, -0.39338345781881806,   -1.3710990235166887,    -0.8518798673688005,   -0.5343510169508414,     1.319614682481972,    -0.2671609271718498,    0.6498996991830143,   -1.0745973352003806,    -0.8811284899571503,   0.6052097932375261,  -0.7795248970641897,   0.7932845156850081,  -1.5446423675854366,    0.4194386255467106,    0.9555896625519243, -8.843437021203562e-2,    0.3539017950489336,  -0.6535053738324399,    -0.3519306207839438,   -0.6259432008499763,    -1.2067474162434266,   0.6216527603478408,   1.1862906033670741,    0.3265892282940969,     -1.252654977740124,     1.0839592681809072,  -0.5740939589425945,    0.2584561710039811,    1.0030366490721354,    0.6790665836440134,   -0.32831533909999583,      1.364027626590702,   -1.4411987291432078,  0.10507511268144994,    0.9515954989169392,     0.8607717998317801,     1.8975574329689915,   -0.2696141419686429,    1.1402593455553145,   8.841044705390323e-2,    -0.317854007905914,     0.5747724560886673,    0.7509207582692411,  -1.2206510430243236,  -0.1954322801164472, -0.11213543441424412,     1.280439984043129,   -0.3661657988212979,  -0.246244529202814,    0.6754220437251826,      1.662401469555619,    0.5615205912070959,      2.006298854572698,   0.41117983539908165,   0.9999321716770792,     0.9153683574725665,    -1.1919500210510463,  0.13916355766121466,      1.042854244442705,   -0.4440452151201487,    0.11070887791349411, -5.0982039184400946e-2,   1.4657172055680248,     0.9237698450397858,    0.4492389832844569,     0.6924875440816108,  -0.7397795529073842,  -0.8762637665552465,   -0.7815843030269107,    0.6638755165839403, -0.46439542869668765,   -1.5751128983406129,   -0.5496576142901561,    -0.7291228764634107,     1.1742309000841566,   -0.9552083682083392,  -0.16316940384918008,   -0.6055855580402468,   -0.2819032495659871,   -0.41653200884998115,   0.33660835895498714,     0.7958375665648141, 4.7405669468430583e-2,  -2.4180646878286964,    1.8482114126444915,  -0.5936328433374695,   -0.7062189840762397,   0.30638898528387226,   6.850663647087658e-2,   0.7834488059760016,    0.6335386172069061,    1.304918099744845,    0.5760130580552821,     0.8675444851533153,   0.31657586666525683,    1.7701652411200672,   -1.152886239589548,  -7.69464041127204e-2,  -0.43865483121478105, -0.12594974756468655,     0.5026087894732059,   -0.10629761687682769,    -1.9147601563068775,   0.8966993380281587,    0.7111589681681827,   0.5943986190030934, -1.3415724313364331e-2,     0.8354712860176381, -0.34283469968700586,     1.461069405572455, 4.890229433786608e-2,  -0.9704286341956478,  -0.32581523153680625, -0.32532040239473675,    -0.5974800260973064, -8.652879726453613e-2,   -1.039783132633084,   2.2518717305595954,   -1.6156006409353978,     2.049494465216646,  8.151054585572315e-2,   -0.4348579044071785,   -0.4650238735470176,  1.0012757802769242e-2, -9.436807795801012e-2,   0.28261300035819037,      -1.10187432569598,   0.8822441124255515,   -1.2097111018394242,  0.26036650817596946,   -1.3678966883481953,   -0.2871388794003548,   3.787461626397832e-3,    0.1768722365188811,    0.6570047973704387,    0.3554349039804835,    0.6402706904374925,  0.35106206676905544,  -0.3030411097164838, -0.13743970053188778,   -0.3230559320628675, -7.522737939591052e-3,    -1.1174033094809503,   0.15504833717230387,  0.22036104970979964,    1.4516909188182645, -0.20715242618754776,  -0.28068419904387787,     0.7347899944950759,   -1.0694717821249622,   -1.1864316214035453,    0.36547485018836573,    -0.8730883287080924,   0.8785335718212786,   -2.5139423402699688,    0.2629148932225971,    -0.9285679119500218,    1.6894606071291254,  -0.41573719962719596, 4.4892099116424146e-2,    -0.8840409469757372,  7.061636396409306e-2,    0.6727070958280995,    -1.375657224683632,    2.2035899247256556,    1.9535126913167693,  0.25827696225949465,   -0.4548750371161727,   -0.5460367605607958,    1.2730378493183725,   0.1436113976411131,  -1.7645905647951052,  -0.7894649531881879,     2.901585619676312,   0.18710533341822128,   0.28000810386391095,    0.8617671462778655,   -1.3514217221588278,    0.8531240647403445, -6.420316308098047e-2,     0.8234523595483254,     0.9249452612711063,   -2.162206234402343, -0.20577393482967293,    -1.7066851961108287,   -0.8849770556563101,     0.6701394994687513,   -0.7353237201405015,  -0.8717052265046505,   0.2624025151199318,   1.7195457908519012,     2.044264820778705,    -0.6260286825457793,     1.025052356121027,  -0.47847206626543387,   -0.9382767354166621,    0.9636429987092473,   -0.9904818170617582,     -1.629183834075711,     -1.543552041490681,    0.9125646879954207,    0.5082917404468007,  0.22664793254445967,  1.6408374855824586,    0.19774134259171525,  -0.38202228609922567,     2.0995708784977274,    -0.9015653002622608,     0.5551496130780003,     1.4718268343301084,   -0.8279977089381548,   -2.268800433747229,     -0.602154603736784,    -0.747593708266063,     0.9716110849023829,   -0.6882270512101627,     1.046805062980623,   0.12923374776350685,    0.5759183330094554,   -0.6689576451070801,    0.8924541437508551,    0.48965032758320637,   -0.5544418274020521,  -1.1805403788382474,   -0.17831041514969576,     1.453850325233825,   -2.060307225910959,    0.31094002256232484,   1.2242794868160651,  5.469875693418228e-2,    1.4561210342486528,    1.5000430648857503,   -0.1280453271772127,    1.0652621121461339,     1.6428940908528111,    0.8574653696168809,    1.8967553337448433,   -1.5363818661960602,   0.16496228185106585,    0.5019281969472835,    0.193350583489678,     -1.065137491229233,   -1.5600886021081541,    0.39050217212899796,  9.115266597421218e-2,    0.1604463744939652,    1.2276839836184519,    0.9441377455935144,   -0.42665814729601503,    -0.9766426631125967, -4.4963503537415954e-2,    0.9522242752243135,     -0.385684995408123,   0.2126752087768827,    -0.9427225662088132,   0.27966382905558657,   1.7828562781445372,   1.4266139885830151,     0.618238486986294,    1.366575287439158,   -2.2086298254283463,     1.2003685411337217,   1.5271126272893336,     0.5831274076587132, -0.11604324892913125,    1.0757954254209525,  -0.21944904117334735,  -3.5161768715859822,      -1.16263941996849,  -0.9817717637072432, -7.583161987854355e-2, -0.24534997571777248,   0.1905373361835939,   0.1318698851396701,  -0.7059563161433985,    -1.0562351897459292,   -0.9160290356259643,    2.7674353968472034,    1.3920737125641556,   1.5070628855961063, 9.192081566288142e-2,     -1.41420248091649,    0.18185608346058793, -3.060218031946914e-2,   0.30239355162912096,    1.1085014580090646,    2.8163170138750964,   0.7560316547575798,   1.7224680967193309,   0.37761307359458596,     1.413976123314932,   0.8635191288122276,  0.13922476231203243,   -1.5346897322853663,    -0.3767398872995962,    1.1574928502369513,  -0.22754987789271447,    1.1027536031859362,     1.385650622732542,   -0.4905020006518358,   0.17699347689644804,   0.5298958019041169,   -0.10204745861021021,   0.3887039572121955,   -0.36914228776724956, -5.393864385157458e-2,   -0.7589818447916193,    1.0669783612191652,   -0.671436608842239, -0.19280178590591643,   -0.8897289060462602, -6.664489416409551e-2,  0.20849910001193717,      2.091547650882093,    0.6921184921872081,   -0.5283078188141359,   -0.5517734055351355,   -0.23409086492447317,   1.9754951966884504,   0.6592394480974751,   -1.8871037946689069,    0.3159785789227664, -2.0902435613582338e-2,  -0.25866354610524916,  0.16142686303009382,  -1.2942947583170543,   0.27051696580843326,   2.28489637113881e-2,  -0.46570037988090957,      1.16815789671388,  0.33146969306719076,    -1.1626746329402033,  -0.768596638422995,   0.10886264516998281,  2.5505352469029414e-2,    -0.7978955865653152,     -2.08645743083702,  -2.7245765183327877,    0.8123779382892921,  -0.42950846070545834,    0.3294481539205564,    -0.277599711389089,  -0.4581768646260716,   0.4581083624583929,   -0.8185414450953984,     1.0889017526741267,    -1.6970927586561668,    -0.5783540551158091,     1.085284742211039,    -0.9666630436461431,  -0.8515779314300348,     -1.672644806454795,   0.5577014005389397,     0.5737885140063077,   -0.7166475889956294,   -0.19409153298057089,    -2.079547928616123,    -0.8490287872536912,    0.2914993065977594,    0.18675799566607879,   -0.7971401113028794,   -0.6840029907025429,     -0.91036477891801,   -1.6498702805836645,   -0.23998312121981252,    0.6449511641133373,     0.6968956940032978,     0.8899760027223004,    2.3232427025794826,   -0.23846789489955375, -2.1703187119467397e-2, -3.101226461767602e-2,  -0.10388909109029955,   -0.33781708144746037,   0.37152990517497425,  -0.30203184611823014,   -0.5160778782841722,     0.3594739621650417,    0.2601649877754928, 6.885317280736883e-2,   -0.4099935723162647,  -0.8275819364325752,    0.8967912982834603,  -0.8545504010107987,   -0.13920778986150265,   -0.2452822898531563,    -0.7348683562936246,    -0.5002960721553292,   -1.5907070981811924,     2.1464663993045443,    2.3580578174324107,   1.1845319029057721,    -1.1713972900224452,    -0.5967386137835426, -0.27676659191316383,  -1.2565627051617776,    0.5710399579655243,  0.45232482983724265,   0.45779454339508213,  -0.4387272357877743,   -1.2821112337674427,   -0.2703825078529375,    -1.614180996710918,  -0.24025590888365964,   -0.7524763699024056,   -1.2262385051499727,   -0.8204962854667532,   0.27811082720346475,   -0.4061475663857351,    0.9679895933240079,    0.5599668428062258,    -0.7379244350718924,    -0.2647141076043362,    0.4711498765976766,    -0.4176511386150046,     1.7379260454080108, -3.260176461064193e-2,   -0.5733344412617855,   -0.7215139079438071,   0.8815241589686149,  -0.8416418532518106,     1.6555205874884922,   -0.9930195254101806, 5.495633759445433e-2,     1.3819110082446742,    -1.5906411924521615,    0.6306458056782315,    -0.5465765712751834,   -0.6106925545997619,    -0.7379164587865936,   -0.6988505941664889,   -2.1509278368076914,      0.44204616735773,   0.44517654759844677,   -0.8012890397931411,   0.6536936365019167,     0.3997647883316977,  -0.20811776296546589,    0.9989623689213962,  -0.3707412424427703,    -0.5757483335294421,   -1.5382574249737109,  -0.8250574623449043,   1.0586087838687521,  -0.17522898218785543,     0.5420833320186697,   -0.325288524295705,    0.28503149848222137,   2.3683437321852483, -4.795096356228883e-2,      1.434627213325888,    0.9058805196922927,   -0.9824389428809581,   2.0350320326881874,    0.5038957813556173,   -0.2507424280003117,    1.7220698083293147,  -1.3076995863028062,   -0.7871313068770073,     0.548176388916017,  -0.30326052572705603,    -0.4008198059155306,    0.6575632634236478, 3.0092315567893796e-2, -4.031355617038065e-2,  -0.2535472867775314,   -0.2428575759994042,   -0.33477265566851233]
+    ,[    0.2176680507713982, 3.4206005136074455e-2,   -1.1198809652106667,   -1.6073532815403349,    0.4834090447607602,     0.4250295533627388,    0.8935498616690289,   -1.3344245314806549,    -2.0278948615828343,    1.5912146560498206,    1.7399679347826995,    -1.7342988413314067,  -0.13139262317015615,    -1.405128884603904,      1.05240860741812,    0.4608144828530252,    0.3268082982158586,    0.4540014564763715,    0.8708078623109816,   1.9387204265657458,     0.5528803224850721,  -1.0601675911722632,  -0.7496241227611092,   0.28140815997699214,     0.4416655541846618,   -0.576329367358252,   0.4440134105125665,    -0.5471643203539914, -1.4916792345487291e-2,     1.097652361382249,    -0.9852856403345007,  -0.49876283454548576,    0.5385482250012872,     1.0191922596405765,   0.22347907740306697,   -0.7637814504186143,  -0.3990703108908604,   -1.0777253429799047,  0.16643199689541807,   1.3256689893907654,   -0.8681002784022221,  -1.4241440043669304, -1.6955932976102848e-2,  -1.9217226460064225,   -0.5140177152097523,  -1.3065252085453092,    0.7089081628374743,  0.14643876509359813,   -0.1101650701070548,    -0.427508894543836,  -0.3086763945746843,   -0.4128890629846932,    -1.0996563532544028,    0.9779871926121289,     1.085439905037711,  -0.13658614689116141,   -0.4568878205740551, 3.4159775737105665e-2,  -1.3343544827946248,   0.8290770402726994,    1.2787073141411365,     1.466703521560889,   0.22604641107076856,  -0.12112611810229525,   0.16681593337246195,    -1.3643583816674334,   0.39025008496362384,    0.7429922735886968,    0.8527294552281559,    2.1051835577455926,  7.758437249052422e-2,   1.4043541646747772,   0.9971154586423822,   0.3309493021021368,    1.4452306482676551,    -0.5453077261119507,    0.1768781463636459,  -0.22585394766568756,   0.43071998994389293,  0.18958217080991382,    0.6156809457269302,    0.8759075907075011,    -0.6297387474633775,     0.4270439122210126,   -1.7693571059543614,   -0.9840729065507525, -8.466225963739747e-2,   0.3363508823211546,   -0.9917873222867963,  0.18851408359109087,  -0.8879307576616733,    2.207300493639285, -1.6130141466055254e-2,  -0.31025472825751765,   -0.21704420162906066,    1.1143308378129921,     1.208768719118373,     0.2554558106629897,     0.7170389426157705,    0.3334158399659776,   0.1060705988500133,     1.0588250690402168,      2.101771170897985,    -1.1957965354061941,    1.0761587379229134,  0.27844043762893267,    -0.4173845016353156,    0.2212099925475912,    -0.5391952476068399,   -1.0993384647061635,   -0.8928137617941234,    1.6002851073272064,     0.5195246800643584,   1.3285902399389549,    1.1913524440199335,     1.2534725934798376,   -1.5115529224403106,   -0.39457871530020777,    -1.3195563562552248,    0.7015338628637191,    -0.850009484102429,    0.6967239639963887,   6.495938649375615e-2,   -1.467951657001128,  -1.1200684866219286,   -0.2673113406473228,    0.3172881078558517,    0.530314198686286,   0.33837729396584987,   1.1812487570124386,    1.1804414065110413,   0.44202854846329287,   -0.4105727329758254,  0.18920896980196086,    2.6578856924300083,     1.844355072968892,   0.6639876473946217,   -1.0158602724955734,  -0.2538426302695838,   -0.5325916476770725,  -0.24519293433887118,   -0.8565709126935434,       0.46014284094734,     0.6133522724907783,    -0.6023566108552578,    0.24498522401526288,  0.20910591319802124,   -1.2151252722131516,    -0.7139519078786529,   -0.6278912928350634,    0.3836389291475035,   0.5958925594655248,   -0.9759568995644755,    -0.7183317605851489,    0.2558746648109366,     1.0652558682762217,  0.3227816668568566,   1.0694063774330673,    0.8177530114480419,   0.5502813303822025,     2.573153676201074,     2.1067603707362474,    -0.6472335676974921, -9.583207537789025e-2,    1.2676995438360688,    1.3107642292665167,     1.174657836012384,    -2.177016823077757,   2.1143558077172306,    0.1483358583849955,      0.864693696665717,    0.8727998633779652,     1.2365566102753016,   -1.9350485320347688,    -3.1440323949057105,   -0.1436070415731783,  1.031572389642498e-2,   0.5129835508539943,    -0.3067711610722604,  -1.0723192745236991,    1.593867480286879,   -1.1543123474901034,   0.8654800820931257,     0.3509295988146398,   1.4020390354782046,    1.4316112818611282,    1.1695385723554406,   0.6590396147908797,    1.6392236596686973,   0.5656383769271346,   -1.3059857646776694,    2.156034537101554, -3.3874415606254364e-2, -7.813459756866156e-2,  -0.32598237976839955,    0.9306299835644464, 5.458895100394846e-2,   -0.44655740739694116,     1.594483382339886,   -2.2652282978209426,  -0.29239079329762285,    -1.7407134199457572,   0.8494330437707349,   -0.19249109526090946,  -0.4157569204858723,  -0.13283394740147272,    0.2601476373026112,    -0.6569235511607986,   -1.1018765337671703,     0.3656296251389552,    0.4469303940579338,   0.4300801750549974,     0.934252053653496,    1.1275096238499362,  0.40925439345667247,    0.5779738427729575,   -1.6861550215298402,   -0.986082989807053,   -0.8228556311749644,    -1.715634839676802,  8.286463129745728e-2,    -0.4912597698020974,   -0.6476164137411295,   -0.7463195149149008,  -0.5323512229028552,     0.2777777622298062,  -2.069784554942217e-2,    0.9103826367616566,  -1.2539179708969546,   -1.6201201039813549,     0.3891176184239383, -8.294257468896941e-3,     1.5083330954830645,   -0.5379027035231463, -2.8010629758512595e-2,    0.5562830546765786,   -0.48619494132447577,  0.33023610216475585,   -1.0830435928900446,   -0.9056183697549134,   -2.3193279250044205,     -2.517009116740616,   -2.487150102319314,   -2.7827824561850627,     -3.227347128127738,   -5.234858081817567,  -3.5979291533498463,   -2.4106060161558367,     -2.08018408321812,    -0.2511610592028882,   -1.2892270549844151,     0.4565330449828681,  3.55942183054817e-2,   -1.2394432488494878, -2.956732092101606e-2,   -1.8583665953247779,     0.7709423098938388,   -0.25200238893609717,     -1.589546523154267,    -0.737989638338528,    0.19414717803568085,    0.5829208316693819,   0.37213977281398336,    0.2201400205924898,  -0.42603009595385816,    -2.4839732715880616,    -4.854245156584449,   -3.4993681569866624,    -4.593741732683137,   -4.500138556851792,    -6.103461979162492,     -5.563696568444214,    -4.056970841099313,   -3.0979430059439497,    -2.691102555658438,   -3.8211543214462678,    -1.9519538801378928,    -0.597796382045154,    1.295337093033732, -7.65568990464826e-2,     1.018687883811419,   0.9351026663740083,  -0.29131132610106364,   1.1802880957022674,   -0.6512101669026309,  -0.26452824684840676, -2.7648765670935757e-2,   0.6710469993271063,    0.20232803129822843,    0.6250044670512702,   -1.2907279408069388,    0.2963153531285828,    0.6661034154296875,  0.24223252930134279, -0.8647248493512113,  -1.0316315553350461,  -0.15727733926050438,    -1.986360280898083,    -1.1946232501654526,    -3.254840377741439,    -0.4700208388623098,    -3.342309474610799,    -1.5467916970563658,     -2.555715383723405,     0.2994462418589155,     2.774436769210343,     0.5544896518001842,   -1.3681704042488068,   -0.5344023928000973,  -0.17886275350186942,   -0.7882899687732118,  -0.9336411624335824,  -1.6619537080319253,   0.20340450564321794,   1.2688604582551195,  -0.6057484508394516,  0.13095719907421918,    0.6452323407561507,  1.5649498647190205e-2,    0.3415661988579297,    1.1448067474680637,    0.13197864277423046,    0.3287595658420295,  5.359535046295388e-2,    0.25523354061830733,   1.4386863807489447, -0.15916474042805215,  -0.5286030708610058, -0.33760484916007644,   -1.9461121022533376,   0.13968119771901324,   -1.6186716801969663,   -0.4307386166972855,   0.7819154804045177,    -0.8417494240325745,    0.4780636373038321,      -1.28789086530969, -0.24035050612329467,   0.6824969738573522,   0.20461767588843988,     0.5601652894189131,     0.7820020313726845,  0.37374257221334645,     0.583455186693832,  -0.22088325141124857,   -0.8284607105342224,     1.3416412302979346,      1.110822778411611,  -0.29369085658483246,   0.2978239146901124,   -0.6222539679680972,    0.46699658190598115,    0.24981164365937808,  -0.16804157076525408,    1.3904385134313593,     1.6406345232085724,    1.2466020676513383,     1.3488418440168122,   -0.9401558276190425,  0.21029068292178138, -0.38703232780051944,  -0.5826793202589645,  -0.49072255834244494,    0.1569360940864103, 0.17457155817462883,    0.3601015039750901,    -1.0432929525264334,    0.4560715352497197,    0.10553409448232959,  -7.44786767669919e-2,   1.3497811197791987,    5.05143677492338e-2,    0.19469497947399933,   0.1381222628924741,    -0.5266062727698413,    1.0867465076611353,     0.4612013724967759,   -0.45040221709328976,  -0.4046407802130249,    -0.9756594899115489,  -0.19127545818700867,     0.5147354110976279,  -0.8100765873900972,   0.6836302209960765,    0.9812838171410854,  -0.24318839556046512, -0.24763131930855242,    1.0000798600775196,    0.7823564317080132,  2.1311200457073576e-2,    -1.7906848324127962,   -1.4144273446906843,   -0.8126789021941794,    0.9453768144881302,   -0.5790667145982725,    -0.2896273836732223,   -0.5568795595805867,   -0.31617224372529285,  7.710565994986131e-3,  7.04838588151285e-2,    1.1447564414276599,  -0.2079439932179702,   0.38941450615849427,   0.17542428417271605,    -0.9090541934061657,  -0.2574876330245235,    0.3549453323331855,   0.5845033536948976,    1.0321726630645296,    -0.1428657891267826,    0.8657852558368432,  -0.22606381417394736,   0.6999760110279097,   0.12569598726574627,    0.5300586101741909,    0.699385418896699,     1.3947043527945862,    -0.4456560851223526,    -1.0103050544600654,  -0.8943065579276434,   -0.2827733174084825,   1.6013691173987785,    -0.6715585386319496,     1.2336361326026748,  -0.5406951959609424,    -1.126345382252061,   -0.700065836290786,  0.18309630273871777,     0.279279884475149,  0.46068782669710606,    -1.2009574040943332,    0.7325157061015395,   0.8039362305882468,    -1.02403567092679,   -0.6556302570608681,  -0.18515756077954243,  -0.15461380863278357,   0.40928115618758953,    0.3292798397844401,  -7.662358442916844e-3,    1.0631401281908452,  -0.12655655912875088,     0.3320158094379311,   0.1574827520933636,  -0.23637542817278928,   1.5449358864803548,   0.43352919173540755,   0.47367358652229075,   -0.18191072423731353,   -1.8516962669997763,     1.196917833180868,  -0.18665565591187044,   0.31621891856469564,  0.18760230516050933,   0.5240996584154842,  -1.5763236114578525,   -0.6192372249331959,   -0.7720354648509375,     0.8708104319706426,    0.2803857065949383,  -0.5624072572958325,   -0.1540782987409724,   0.9907042442383867,   -0.3396499155239335,    -0.4494957216698072,   9.79010598805149e-4,      0.71607075154866,     0.8769300507703014,   -4.59912956966157e-2,   0.5806477078822477,   0.29786977207888854,    0.4001872148626971,    -1.0733953831437084,    0.1773310135893023,   -0.2266307630891631,   0.10092162679973149,   -0.15136151280927063,   0.46209867798554716,  -0.33954733008089794,  -0.42319802892287256, 6.2099885705261405e-2,   -0.8860287540203401,  -0.2611433514332265,    1.1786106518163617,   -0.6850259869423424,   -0.3728631556959374, -0.18863302550127536,  0.10194993122662153, -0.10315164964822207,   -0.5634260072736088,   3.66332439660377e-2,   0.28383061055144826,    0.1684924856501592,   0.29524468725743563, 1.3219611588676088e-2,    0.5034220299820303,    -0.6567291766047993,    -0.1531647516701487,  -2.4402045532537726,    0.864726773868962,    0.20286273522942325,    1.3899682759823921,   3.792009236455171e-2,     1.584752554024663,   0.8529700391686884,  -0.6741318272643301,   0.4370020045089562,   -0.6304420777639971,    -0.3508987685777408,   -0.9701683572261793,   -1.6082330468203543,     -1.38193814475629,    0.5188520939873991,  7.907959417846594e-2,     -0.256649723867195, -5.3024930098175535e-2,   0.13841703109905965,   0.10163715999967271, 8.012023582063175e-2,  0.5523080165497989,    -0.3451526010989475,    0.6529715310986768,     0.7033058949732937,    0.31545950539569645,     0.2350657481397851,     1.3888973902993205,   -0.7450142160157913,   0.9755217381036294,    -2.4385155730451236,    1.4236373806402696, -1.2237321853019007e-2,   0.35962107987482983,   0.16759768287178922,    1.1356686769479052,    1.3351925816225367,  -0.17641949877509783, 4.2078601913764904e-2,   -0.18351486670379047,    1.0939673870844144,   0.6795332860954515,     0.6216947554415478,   -1.3926908412648524,    -0.63181931368196,     1.5952001501111597,  0.20531554907682992,    0.9347406580022428,   -0.4882277496596254,     0.946691755681223,  -0.27475874453825616,     0.295692292083903,    -0.9161426097254691,    0.1848870618861293,     0.451153536938636,   -1.1045447428411814,  -0.12791918073532632,  5.819410718455927e-2,   1.3486481151344396,   -0.37572337446715814,    1.1549413527435362, -3.0801381186394895e-2,    -1.206236827593122,    -0.811350373084789,    0.5575779667156088,    0.3867081240203222,     1.2217685832003755,     0.6124848227823391,     0.5663115609556172,   -0.5926467830419825,    -0.5633517046449966,  0.14970547634493675,   9.424180224015238e-2,   -0.5123286776041683,  -0.9265486998882603,   0.9036024225023287, -4.254184283479297e-2,  0.15381143696860664,   0.46247626627495514,    -0.2551545817680472, 3.624381956009511e-2,    -1.3275783042948286,    1.106031123221662,  -0.35206111655050115,    0.9637428011214184,  9.44882170958962e-2,     0.5600276631682433,   0.3228278099874595,   -2.1802324642864623, -0.14992937299440628,   0.7042681446313255, -0.21691242516863143,   -0.395990961800902,    -0.6350023631395395,    0.7761396829789282,    0.9470425091303136,    0.3885394030581489,  -0.8398964805402984, -0.23682375401446668,  9.113466230480158e-2,    0.30339565279440933,    0.1176162733254643,  -0.21984307908608788,    1.3212845133611693,   -0.6903937621810651,   0.1873161499167688,  8.62287645917516e-2,    0.6362605731074917,    1.1193017141572823,  0.44446925013141664,  0.21127759987806355,     1.117251778147636,    0.15546481466229767,  -0.19818387409537272,    0.6974798660184872,    0.3975908885416199,   -0.3799803185663336,   -0.9035256602633597,    0.5694935430586959,   0.6593250614132231, -2.1668316949298178e-2,   1.4201697811015064,    0.28833270096074387,     0.391569209262676,   -0.9626487134123236,    1.8584925686296445,  -0.7604793268380327, -0.46823610809599914,   -0.4981008167021088,    0.5504357368876459, -0.11989844507337567,   9.712653441169635e-3,    0.5421273792649949,    0.4005953379112043,    0.7424276156184962,    -0.8229201055335158,  -1.0320439396534569,  2.68659836170194e-2,    0.2604784812681291, -6.998223171326483e-2,      0.539521313620647,   -0.2419900218888268,   1.4849946175250672,    0.380671644500897,   -2.3767562948669188,     -0.10612799273169,   0.45978569575450234,    1.3191167110440858,  -1.2489339845485807,    0.28724525280357854, -1.0929480855115694, -9.320466175681782e-2,      0.815926069227988,    0.14764165296358325,   -0.8775562297704466,  0.33148975473127335,    0.5873727732119256,   -1.1009373551798218,  -0.22325117146379733,   -0.5487172488885775,  -0.1535176009107738,  0.28037315919818667,   -0.2291794248336271,     0.4589346289404479,   8.411515939120075e-2,   9.730953630030782e-2,  -0.21966944617865336,     0.1381458887794081,   1.8601756516083647,    -1.0879722990764784,  -1.1336230217887395,    -0.9592877833475786,    1.2421571908068954,    0.46359451577421706, -3.094928474022815e-2,     0.3789421495126016,   -1.2882398763619891,      0.325609041740598, -8.353772736326134e-2,   -0.9605420705323741,    1.2215911713057066,    -0.618067676169392,    -0.3639403931734327,   -0.5607611963768557,     1.1360472059604132,   -0.28574776071808655,   -0.5374266916374814,     0.6113550725929607, -1.3856038519711535e-2,   -0.9875573445187114,  -0.46724808901433706,    -0.5712078564029661,  -0.38218168761915366,    0.7248924216683981,    0.5789843464084349,    -0.9095656289990474,  3.835207804672777e-2,  -1.6171160418371107,    1.0797897639221483,   -1.243265332096499,    0.8460873149069993,   1.0160998539382382,     -1.208286727811526,  8.247792824497187e-2,     0.1699975320533505,     0.6263278528384956,    -0.673311861477966,      0.854353718982218,  -0.39519588525699517,    1.825107846074219,   -0.46019386642052373,     0.3773491798230619,   0.4665396933403899,  -0.8157499474473047,    1.3020474646862619,  -0.5879262264601481,    1.0652765205582833, -0.25909181954637195,    -0.403498213970933,   -1.0973224566174302,   0.17037313849965657,    1.1775672094934932,  4.620451941758514e-2,   -0.4958760362811881,   -0.4661270346866778,   -0.7671424464782219,   -1.5644580854760957,   0.29117492279351964,   -1.4995704151400346,    -0.8754873278772078,     -1.113064520957738,    -2.508106528113139,      -0.25628266511871,    -0.5329013996287496,   -1.9291129906884326,    1.0117496291706787,   0.10148496464735789, 8.649300673646608e-2,  0.16307732181299503,     0.8613184226009227,   -0.7484568065906853,   -0.376539202324258,     1.5134076055505692,    0.44469933496832537,  -0.40024634742642623,   -0.26734323220373846,    2.4464379213250487,    -2.1093104410402588,   -0.4497485764780793,    1.2597641679850293,     2.125639995832278,    0.7660377345822041,     -0.26642935319257,   0.7128405521399181,  -9.096159792933939e-2,    2.3388093015186575,   -0.6434389403226283,  0.11346560712011426,     -0.602444363700471,   -0.1044177870273073,  -1.5050829395334457, -0.48331335949440396, -4.852387165978106e-2,   -0.12897333984632056,  -1.1065422050773932,  -8.141845215691584e-2,  -0.8311283585030833,   0.17033680325095843,     1.6722736355994465,   -0.9674734934934213,   -1.1908712363972869,  -1.4270366337990448,    0.2304246014365116,   0.10074824901798013,   -1.5293267482174715,  -0.3019806058799331,   -2.0245047206930273,   0.12807397866797904,   -1.3113104885914804,    -1.7553345975976193,   -0.8658496995563031, -8.094972157925973e-2,     0.710790922485977,   -0.617822524494758,  -0.12471835656599484,    -0.5214310723185186]
+    ,[    1.0093818770302054,   -1.3023523711978353,   -0.9523963811096506,   -2.2054775414204486,    0.9754344230302631,  2.6036653060876578e-2, 4.3329557131034285e-2,    0.2490191266396769,    -0.3946756816611826,   -0.2387909388153055,   -2.2487199537416234,    -0.7950034827519052,    0.9826550189273142,   -1.7217807584997424,   -0.3305330296697283,    0.3132905315120166,    1.4983223802148127,   -0.1157826781794835,   -0.5683829942983026,   -1.066653052497626,     1.0937007907511829, -0.22879564528530283,   1.2485013508100247,    1.2901409700151913,    0.13238130423628186,  -0.3694494695476727,   1.1571670304069914,    -1.0146760718889531,    -1.8429860980864143,    0.9342054004603957,    -1.1680690310375414,    1.0420782567224451,    0.4913452986328136,     1.5223677832230191,   -0.7895577099462779, -5.575534023472804e-2,  -1.2562940099961755,     0.820840347931678,    -0.59944004097939,  -2.1435579437458374,    1.3307739404001966, 5.595280786509462e-3,  -5.359680214597954e-2,  0.13876969197140063,   -0.6047915705047401,   1.9566528952816529,   -0.8864917279189218,  -0.5214964658504796,    0.8169738402710116,   0.38867774379412845,  -1.3542523061068745,   -0.7135603951605027,    -1.5260271983414926,   -0.9415697860398466,    0.5858123357717905,     1.334075282320304,    1.7003172775277435,    0.2077242182987327,    2.118521313749435,   0.9915695084463337,    0.4086979569278175,    -2.226913502470671,  -0.41286864879987534,   -0.7110546887192591,    0.7810208297541228,    -0.9994257251764429,     0.646266951180685, 2.5941239968513632e-2,   0.16022214196312962,   -0.7285269675775478,    -1.359897356249896,   0.6723146996483804,  -0.6955400851324998,  -0.4064811318483037,    0.8388572704053692,    -1.3673200914279884,    0.7369689199375249,   -0.6413732350725679,   -0.8988249397433613,  0.13414436457604578,    0.8844807342855442,    0.5852481496923547,    0.10191787034507664,      2.249406103712614,   -0.8671924039470315,    -0.682695081385369,    0.6106467456483823,  -1.3834961479288146, -8.745269899607164e-2, 7.058593455286043e-2, -0.23543570923405036,    0.436720317599528,    -0.7066432489138469,   -0.7576584475837012,   -0.21031685225245358,   -1.0466182549683363,    -1.526596230597609,    -1.0410066095597803,    -1.7098957620422055,    -0.290236254175317,  -0.6740747699146997,    -1.0426255536766642,    -0.8411539127051827,     0.4780001208140643,   -0.8731516177272228,   1.0997801125127677,    -1.7303847153378025,  -0.47106685676359383,     0.5817455814819444,    0.7309337928798609,   -0.8310156725577243,    0.5151418761356849,    -0.9041336432598173, -0.33173836553965197,     2.496438080801745,   -0.20213886818313873,   -0.8588427236046263,     0.9719481193814561,    0.34593047369997676,    0.5271569522282504,   -0.6483091752654092,   -1.6499963557341766,    -1.2972127832159963,   -0.958923209950208,   1.5343152985924557,   -0.3604146499021973,    0.7885997611962653,  0.21445610598311435, 3.0568336640143873e-2,  -0.4772153324959874,    1.3693364536793335,  -6.61861333252237e-3,   -1.1452624366797832,  -1.3881262541784427, 4.9288110333064634e-2,    0.5464251949729775,   0.5165826433122407,    1.0612555136724733,   0.7752891325513386,    1.0753221684916432,   -0.3183291322875489,  -0.11813993514687292,  1.1717526341474953e-2,    -0.6301843067417002,    -1.2085744243049632,     0.7108897963768943,  -0.8118799700037312,    1.1492652780192023,    -0.3102519359873921,     0.628558528717201,    0.6851254518257685,   0.7902593613756986, 4.8071057560561126e-2,    0.16079622859503584,   -0.8787846649849699,    -0.9080942406976663, 7.17196621087609e-2,  -0.9292263246996677,   -1.3025819031575139,  0.21387167202483962,  -0.22504146718764145,    0.35859975643322684,    -1.0422173340299319,   -0.9575372529049324,    2.3398447538910765,     0.570412230053227,   -0.3255863280263284,    0.8888396885627866,  -1.2029989584169174,   -0.3793935764861963,     1.2737630274253022,   -0.8858218814814792,    -1.8069328931038213,     0.524962743437905,    -0.5684817759894008,    0.8614059134852518,     -1.64883631879716,   1.9952168559303993,     1.7221316674239382,   0.9515982228479737,   1.5585455435585553,    1.8344794315973931,   0.6964415680801987,     0.9844972928700995,  0.26480703706487946,    0.7641771526022645,    0.6294384941847033,   0.7850925140078774,    1.2810697344532052,  -1.8345998696252948,    0.5588908390687624,    1.986842770035951,      2.607214419879531,    0.4014831172165114,   -0.7359701421585542,   -0.4676349918499241, -0.37234672308640027, -1.5708347650808207e-2,   -0.4973328171919749,  -0.29352674046343086,   0.24449084305845364,    -1.5992369332285705,   1.8321829538300738,     0.8023552963827649,   0.8545695636920324,     1.386299348473586,    2.0515965304279034,     1.1067254761587826,    1.2169092636269583,     1.7496154181676036,    0.9271949136500616,   0.6759064852346839,     1.436748401268621,   0.24501562435127594,   1.5618655495417175,    0.6340655406798471,   -1.2515570763623958,   1.7177985990424243,   -0.7969869936116594,    2.8237831180325155,    1.8564839131662152,      0.369900948602087,  -0.11656235744879317,    -2.521841626886875,  -0.1473132164273854,     0.6778470649713034,    -1.1899248845247783,   -1.6200998144474943,   0.8327649758609833,  -0.20818330438797977,     -1.235209458833838,    0.2250296594404245,     0.9554826038933523,    0.9947752737102556,      1.326339338744554,    2.2627703930096597,      1.973471365866548,   1.8440971211856116,    0.6184526351096565,     0.978498067782941,    1.1428776311414741,   -0.25451054761360803,   0.3520702544763464,  8.095273306197776e-2,      2.531725775524554, -0.29465510477839985,     3.05273177767679,    1.9828938205007727,    2.6166675876016683,    -0.1940120617238644,   -0.4512394761609625,    -0.6160467178151248, -0.10978896470557556,    0.9811080808477088,   -1.3628477149589373,   -0.5766832748451939,    -1.7906236652069658,    -1.0644965336612573,     0.3636253901250434,   -1.3586539862287588,     2.8358613938168173,     2.781274795419458,     0.776091839420076,  -0.29668548330306443,   0.17730531821192091,     1.1243344054828537,    0.2670557460332746,  -0.37541137591413987,    0.5756138140386564,   0.8726505501399435,    0.5234255255795286,     0.6530545983098239,    0.9368838006518952,    1.9504191724156308,    1.1756824286720027,     2.706192632667921,      2.751783321021453,    0.7631376767449729,   1.5678164035176052,   -0.884444643602833,     1.278019509311297,   0.8697083423007135,   -1.5914669352349768,   1.4765736087238939, 2.6679121520274636e-2,    1.4216769733015933,    -1.7121192381963615, -0.45764392282641175,    -0.3205799263573766,    2.3546526062019195,    0.1891810228735958,    1.4424832770472538,    1.1099087483981775,    1.291120571254932, -0.9436984045189775,   0.4704221693596755,   -2.1544871138881945,    0.4231609504013683,     0.7081741925365508,    1.6918597048718642,     0.2151690012275907,    2.9072154551902423,     1.2962835765240728,     0.9009088117237266,     3.3420553550255794,  -0.38764256329304086,    -0.3513451668705293,  -0.17869612072457694,   -0.7477628901512912, -7.813655733598253e-2,     0.555587724557819,  0.11824440144743084,  -0.1427458741949917,    0.9235431454802174,   2.0775551610750105,   1.6699856277001899,   0.6660618292236455,  -0.41634347885590417,   -0.11758261217451428,     1.935079387327071,     2.433773157162917,     -0.637717351032701, -5.444571812347167e-2,    0.6729785448031428, -3.6073297506520066e-2,  -0.7742453009294198,   0.1898026646011586,    0.564536604035335, 3.826146613358279e-2,    0.8280676031965349,    1.4001552590283495,    0.3043951885069275,    2.6993130868307156,  -0.9155046570566827,     2.1226423104845185,    1.1657274913666527,  -5.502890120246353e-2,   1.4629455671133431,   0.3142499233067979,    0.6851067529899453,     0.6346319389344456,     2.0130984503086764,  0.25544596229226185,    2.3790564575328768,    0.9117724836375417,   -0.1808002771275886,     1.1022981140410077,   -0.15003739535252128,    1.0837461819110081,     1.51830854778153,    0.9148202628035307,    -2.0045599635259213,    -0.3635879445079352,    1.2292585309507003,   0.21858156168725473,     1.5876359611204394,     0.846838714986035,    0.12167941320570932,   -0.8337264682004046, -0.44104476657240593,   1.1659066424948081,  -0.5813672580836796,   -0.8310222144993048,    -1.375176575864081,  -0.753668542558569,    0.5844738094168281,    0.41615230527578817,    -0.109225921184368,     0.9051738699761117,    2.3854048042397498,  0.19150448579326254,    -0.1585153485672976, -2.5296103668512173e-2, -0.11612080053498496,    -0.7973811121595659,  -0.18394716684363233,    -0.7120905520033446,     -1.042248179537806,   1.1385079318059266, -2.5551386048273225e-2,   -0.3130260190077657,    -1.0962584054154134,   1.4399207596904968,   0.3506379158970276,    0.6121197659276871,    -1.176382379179904,  0.25147327822253057,    0.6836550306393698,   -1.2800390937087194,     0.3943698845228191,      1.088557105170198,  -0.35334591581751884,   0.10042178665876014,     1.448460593113297,    1.6677915212821735,    -0.7365121882650388,  -0.31975515255386694,    0.35599880688987384,    -0.983765272281815,   0.5484795202266494,   -2.1800192515425634, -0.15299705602391847,   -0.8253422566127311,   -0.7083398845336137, -2.9329790627600667e-2,  -2.1674728564784074,  -0.15500759807117864,  -0.8675770773409126,    1.8577423828909982,     0.6075451106988176,    0.5923946296982123,    -1.121330606370663,    1.515609495946226,   -1.1761806053114914,   -1.3163465171988349,  -2.5369940599574403,    -0.6016401272950445,    -0.1712434881681517,   7.325973541422413e-2,  0.31227600684269674,    -0.875313098323664,   -0.584601738064476,     0.3323616324138962,     0.6197261624800747,   0.8534359599409147,    0.7691721890953944,  -0.7307732850787553, -0.30313331262597465,   -1.6207333739970284,  -0.2413006804969026,    -0.3450467741582367,   -1.3461414621169427,  -1.0392982010279492,   -2.030176878802711,   -0.6627125168866145,   -1.1725076256801459,   -1.1066604020703998,   -0.8520608753089227,    0.5214581588267168,     0.5442109516282668,   -1.5479976045033315,   -0.7428735698114705,     0.6542059762227438, -0.32500262706606187,   0.16610024857089456,   0.2768755268058352,    -2.076035194921265,    1.0480345534894475,     1.7617888872302232,    0.5158136174042481,     1.056916995604417,   -0.2893862315279717,    -1.905519611642396,   1.3047560565627303,  -1.2232289276678234,   -4.288901493454547,    0.9253974322182473,   -1.4531462730492626,   -0.11201229755114633,   -0.6918027023160711, 5.857547149513815e-2,   -1.3140808900263379,   -2.566950337469831,   0.13947583124258528,    -0.3157616003462555,    0.5119947747094846, 5.5222227260192214e-2,    -1.2579494690813713,    0.11128003042547818,  -1.7171069236543337,   -0.1677055036943628,  -0.34718573223705024,    0.10078647958070186,    -1.408439270713237,   -0.5573461577955809,    1.3575334302880324, -1.5588489220354426e-2,   -0.6487763955992986,   -1.9329563798466287,   -1.3871790420297352,     1.684715407945383,  8.759825141078073e-2,   -0.640254446647816,  -0.27698103213037883,  -0.32235583954448416,    0.5147518053610157,   -3.237536946915453,  0.12746948862228083,  -0.4720431105550483,    -1.392384483752239,    -2.109175210998041,   -1.4031481558586179,     1.224735285079784,  4.847346165032008e-2, 3.4111498165957585e-2,   0.25996537772809936,    -1.1603731665051111,     0.4403153255957991, 4.578980828316217e-2,  -1.4217507598860464,    0.45783078804088445,   -1.4892172536864714,    -1.2559938168555882,    1.4330987364759493,  0.25211915977928245,   1.5618150189023534, -0.45621027192447516,   -0.2453323198283594,    -0.9414397193133311,   -4.4317308609853e-2, -7.959399827305005e-2,  6.184804219879123e-2,   -1.5853297713904926,    -1.667016149804785,  -6.315597767611338e-2,    -1.4400777293681202,   -1.1705969157342495,   -0.4131206704526996,  -0.6832134882298843, -0.3465762019695643,    -0.8975510792684913,   -0.9702468936892661,    -0.3191832248174533,    -1.1015755889681642,    -0.9701517711403339,    -0.6873893419190502,   -1.7445609707752783,  -0.9444030227132884,    -1.3063867619745027,    1.1464561433347136,    -1.2447830586636777,  -0.24588221653217665,   -0.4425011971807568, -7.280133243649214e-2,  -0.19713034162749826,    0.5872061572789121,    0.3245142443423925,     2.1872363822178738,    0.7913281462785191,   1.3866809702886478,     2.3456447438726378,    1.8461620269027157,   0.9027922871767387,    -0.9023977311403163,   -0.137016267030873,   0.29057043411890715,   -0.3418401614111065,   -0.3138067548838346,   -1.8902779072615437,   -0.9312098439264207,     1.1687500338976677,     0.635182685585589,  -0.25773209671843605,  -0.18341402441679389,     0.799967545730481,   -0.5383219265921851,   0.5754435131699057,    -2.2373413070305284,   -0.8686418599466204,    -0.9860758887387435,  -0.14868307644397624,   7.41797551900596e-2,   -1.5222279555374836,   -0.7930637592253099,     1.1634539081438584,   -0.44069048591856336,     2.2039084562302964,    0.6493145494373245,  5.5938002262122984e-2,    0.544165484678734,    0.16694073610252752,    0.9017874281003988,  -1.2515223592489917,   6.7805934437599e-2,   -0.7317219598928051,  -1.2586486707579756,   -1.4889818041834262,     -1.067377455291659,   -1.083954230263113,   -0.14681858438157494,      0.8312752639868,   -1.1193024804218978,  7.351347251238878e-2,   1.2794254591553136,    -0.9225836200555866,   0.8779681144846432,   -0.6429664744354889, -0.21016223123974995,   0.2543585206386347,   0.7317686605875918,  -0.9365477375961027,      1.281746726384455,    1.1720818043662644,    1.3309435101563387,  -0.13416361054671588,   0.3948024405481816,   0.8534582740301114,    -1.119658168176093, -4.0030002762724115e-2,   -1.3539289312374783,   0.36504356934742554,   0.21273517634121755,   -0.7850096393877534, 4.839680972143494e-2,  -1.9255686443278566,   -1.0648426924246879,   -0.9812480691229369,  -0.1274944703961032,   0.5170799416703634,    1.0642479519146013,     2.6797744049593684,    1.2576289043296567,     0.980690026670621,    0.7579856673494627,    0.7694445574263424,   0.40618199173499225,    0.3702716147828559,   1.8270308018625818,     0.3224542460428392, -0.29051510771680966,    -0.6465881159375683,   -0.6776166142817377,   0.19445082935132446,    0.6409543279400883,    1.209486823694382,  -1.2634443276338536,     1.576812711381068,   -0.5932686231319746,   1.1927654747672258,     1.6510856918971502,   -0.5888879447433725,   -2.0589314603952356,    0.5655453198536253,    -1.0854650237532248,  -0.5445655033803967,  -2.5609190572580323,    0.7013634825860167,    0.6435554779132273,     0.4598449538287899,     1.255022092842682,   0.7845818462966063,   0.4491463728575358,    1.3206186023695612,    1.4493597892483567,   -1.5654792208783812,    0.6138573642647495,  -0.5290820747933885,   -0.16880457860349032,   1.571108204584678,   0.24808209767337838,   -0.37229897982903243,    -1.5387634824447896,  -0.22614605433126975,   0.9373416701793695,    1.0257972166372138,    2.1379521041611538,    0.2623369415001108,  -0.12880829247736245,   1.0440458761294957, -0.25367792375082526,   -0.7448689722934319,    -0.5792528424737773,     0.2925855827287932,    0.22398084837978796, -4.389601306985437e-2,    -1.2584487331730727,  -1.6149756199753198,     0.5791660015188954,   0.1137954549829644,     0.8054621570973238,   -0.5673879660077382,    -0.4716920282342125,   -1.0615922356904568,    -1.0614289091766618,    0.3514358820956502,     0.5634950815850563,   -0.9020939266962494,    0.3186334479638706,   0.14066311909237886, -7.847281233498184e-2,     1.0964057250249153,   -1.6186897609188682,     0.8620128526008377,    0.16029441439815706,    1.2139949299142985,     1.6377198077223456,     1.5682425427407112,    1.4264692590093975,    1.4535687344569954,     1.7394097958107553,    0.7868228315093433,   -0.5671169098271394,    2.0844882671056055,   8.862372242574762e-2,    0.3630902464125519,   0.3549742907419272,   -0.7057975131272786,   0.9752533742885451,    1.5155932628064717, 8.173971643000816e-2,   6.048541721209811e-2,    1.7203455759920518,     1.1041497040227484,      1.083006152457411,    0.9520674367712115,     0.2296735229824833,   0.14249447455438508,   1.7393234567707583,    -0.1243202970222203,    -1.1084498988134073,   1.0856199542297331,  0.45702355485323337,   -0.2422255046909245,   1.0055636059875948,    2.3071648986921995,   1.7099963719826354,    1.6943205614424155,  3.609020796135039e-2,     1.951095519479997,  3.672943539523736e-2,    1.1420070417412878,   -0.8144797163779421, 5.4148885817286656e-2,   -0.4729319391703598,    0.3685479731120834,   -0.8609353261880508,    1.6981097617909666,    0.40886768973769616,     0.7861198368944095,   -1.0238620754413537,    -0.6582611749688825,    -0.9314236680043843,   -0.3484632685707669,    1.4080000446506362,   -0.6745632293246187,   1.2320805459679254,  -1.0831864943804692,    -0.5455798167071648,      0.74474706974559, -0.38841464588713864,    -0.3845095781958043,     1.2760086509026407,     1.083318706886929,     0.7486252595069239,    1.7549047720451691,   -0.24738990731369145,   -0.6085447894366527, -4.737129755961468e-2,   0.25707500553549756,    0.7003521780446782,    2.2059771784590683,  -0.5971561704473508,    0.21180594826808302,  -0.47818261451192595,  -0.10215128595357509,   -2.195088522852016,    -0.6455450163095222,   -0.6157581901077421, -0.20095702105208277,  -1.3799372103144534,   0.17203910665617633, -2.0339279287906478e-2,   0.7789591320715322,    -1.1774636947256212,   1.4998692706584944,  -0.14888470214753086, -7.0776064480641224e-3,  -0.45367215940038913,   -0.7514029467063913,  -0.5440287355432273,    0.3447927717124602,   -2.4650144992301004,  -0.26398218639972765,   0.8671456323252902,  6.077952330142193e-2,   -0.4569610014217819,  -0.32004865478494854,    -1.0989988463146185,   -0.8385140571784138,   -0.5084535180780514,   -0.6456356331405866,  0.18143744837351578, 1.9361187924591928e-3,    -1.3319416052889912 ]];
+ 
+b1= [3.9558688862392697,-0.4966714540708902,0.2606115955849147,-0.24987647111700131,-0.47319665170445907,0.6000961032817813,1.325751347603363,-2.0541454100461785,1.3639844325495536,-0.9527650137940115,-1.1026848508341287,-0.6643770722302866,0.4134320734242102,-2.805706848979819,-1.857552061769825,1.0168849038037469,0.41675061525419393,1.0813203586348086,1.801034338029094,3.7866191118955723,-2.6539582460032602,-1.0939391863598873,0.4451907749011081,-0.8374908131717012,-0.5365261625126754,3.07971675600448,-0.8794165278404449,0.16576322893411252,-1.8369270669120517,-0.8178601929912946];
+ 
+w2=[[  -3.3475560920848224, -0.42595529525797976,  0.3157485593037939, -1.2956448583114575,  -2.5613963034642158,  -1.0225023363406962, -1.0860597392451075,  -3.259070166770771,  0.3982092695456622,  -0.9489957474468046,   1.9752609076598477,  1.1951772996991958,  0.8153818597352391,  -1.9731999253709671,   -0.9497638062289873, -0.9828745636734659,    1.843835170205127, -2.8807257558117416,   2.729412682899991,  1.8892883587201317,    2.157360176611472,   1.5645750756754497, -2.9106061520933846,  1.3895095326250857, -0.7086991893361873,   -4.277247745470331,   0.6127812270077216,   -2.6780103516686564,  -2.786299196850563,   2.434021723623578 ]
+   ,[    1.384319371853265,  -0.9340646636224068,    2.42553593431695, -1.0202398076674197,  -1.9140707812591422,   3.5518105010296117, -0.3024769068112689, -2.6369232799102926, -0.6806307226221475, 7.839438066176378e-2,  -3.8047311640526393,  1.6836396128557076, -2.2282204168837754,   0.9250313057476037,    3.4908708159023885, -3.9780835201217717, -0.13676263676706335, -0.3399272592028342, -1.7150832018740882,  -2.383135055096939,  -1.8796991614565925, -0.49258369002610514,  -3.070158866317407,  1.7901953169549882,  -4.308911933575984,   0.4046031035976506,  -2.5824007737441717, 1.9577177036140134e-2, -1.0256677793116864, -3.5533330718794547 ]
+   ,[ -0.10772300054523685,  0.12625554459263852, -4.1193323631023695, -0.9678680648250315, -0.10102777163012097,   -3.225006031168643,  -2.697438427446661,  3.9378669020139823,  0.4976293745983513,    1.150329303611555, -0.13194490532837144,  -2.402974231681778, -2.3819483844900278,  -2.6859859071554433,     3.906717560665665, -2.2130391281335395,  -1.5074828265168199,  -0.999419654760161,   5.127032129837762, -2.3507108963514955,    2.817957997416682, -0.36600166011158514,  -1.973167925396839,  0.1947368212642307,  1.5197798941431075,   3.4346824152454203,    2.366919617401644,   -1.0983950764781045,  -4.449978406883943, -0.8738444004881409 ]
+   ,[   3.0152536268987657,   -1.768819489748337,  2.6840470390474955, -0.6937304887273016,  -4.6997514308880355,   0.6564302564485156, -2.2370714302892587,   4.065890382036308, -3.7550850487507943,  -0.6927602223370888,    2.612377750170405,  0.3581326019355834,  -2.390724471032244,   2.0593091032509396,    -3.651832908730063,  0.4950643540939668,    -2.41901052068881,  -2.445594681511396, -2.6787899401309883,  3.2805394739444638,   1.4265608228224793,  -1.2422991451495746, -3.8166655673993075,  0.7551304974680245, -1.8397614654267695,  -1.8391046547865348,   -3.862649346993681,    0.5389653795520633,  -6.495370635982221,  0.4411849295737402 ]
+   ,[   0.8740335414751595,  -0.5747844418499032, 0.12347691053264598,   4.267889396736106,  -2.5916172747485335,    1.358861085121812,  -3.390680887353097, -3.8674324438433327,  0.4057762580221447,   -4.613039316341899, -0.31446725487779653,  -1.688945549148426,  -5.065571317899549,  -1.4989416137169185,    0.6777393821687536,  0.9930679303169044,  -0.9350483001152696,   -5.32758578006543, 0.12347310816819795,  0.7248904341859621,  -0.4153481357115005,     7.03449483430138,  3.1238154177673043, -1.9130637670757287,  3.7606015264975987, -0.19073679872715343,   1.1139014156144673,   0.39133353568162227, -3.8741491968104533,  -2.203636328215666 ]
+   ,[   2.6520105644300984,  0.38464033327928265, -0.6649550651263968,  1.9367366623291158,    5.364803872048157, -0.29854351240485266, -0.2632748704161152, -2.6033129882952943,  -1.845142264123316,    -0.65454724981816,   -5.459385057993004, -2.2309622850632174,  2.3040635204416198,  -1.9430136636616877,   -2.6067895513465618,  -0.357804476362298,    0.689880390529237, -1.2854996080383956, -2.8153824586316576,  2.5024530051872067,   -2.117525066879449,  -1.7245277462749329,  -5.722669200181782,   2.492839455538656,  0.7841565568203629,    1.318653447141769,  -1.9847108179117507,   -2.3065110441535674,   6.076938248551628,  2.8318046385014064 ]
+   ,[  -1.6709924284919644,  -0.9663630073418923,  0.5844135636968599, -1.1330995881446064,   2.8609177095645193,  -3.4256068964137585, -1.6942698875266295,  -4.113079754051621,  2.3011887917466223,   -2.708325670595643,   1.8798179711963379,  1.3927352783473963, -1.4826842333092483,  -0.6009145421358238,   -2.4804471993273505,  2.7832141135341963,   1.3632702166218051,  -3.593517041615111,   4.529859734335387, -1.2901412825065792,   -2.497831855755299,  -2.4493128493733485,  0.2245440514335598, -2.4138021523224493, -1.4707391795625582,  0.29367702102457666,  0.35696537669436845,     3.491034580592242,  2.8192214566331346,   -2.98595755311592 ]
+   ,[   1.5529804718531854, -0.24635985759786794,   0.678161102628826,   2.486198820195804,  0.15924074692018977,   4.3135137499114125,  -7.592139994625877,   5.086794383480168,   2.304956931869405,    1.533237178179708,  -0.3494033842487449,  2.8076797987223507,   3.934251567943248,   3.2064054962717874, 4.5020602390229175e-2,  0.6532935689583343,  -0.6353663667261286,  -6.761978210201565,   2.570064606051503, -0.6359106364046679, -0.32206614817735485,  0.12970497074616205,    4.43599201788948, -1.6143158409079594,  -3.734509094574477,   -1.285873687550009,   1.5776615138364067,   0.46034354697235624,  1.7346082695248215,  1.4421237144287347 ]
+   ,[   -2.445183776335705,   1.3534218400182683, -1.9521382505454812,  -2.106418426774921,  -3.6839709862586236,   3.9005512634032296, -3.4804595397202163, -3.4786070401545315,  -2.910358951325745, -0.27032745582197376,   1.5070735083509057, -2.9579280958966496, -2.6037841169870863, 7.434514216855644e-3,    -2.933547242400761,    5.84726991177822,  -1.4533441248625618, -3.1913369289740263,   3.055469713428449,  -2.760579667647416,   -2.634824331870147,   1.5435316228687375,  -2.970464493602326,  -4.500612661172782,  -4.914281876271146,   2.0241667181145657, -0.21746546954764992,  5.752456513860073e-2, -2.6272032781798913,   1.998850719789653 ]
+   ,[  0.35328267184306206,   1.2997752239604499, -0.7130470671124841,  -6.538209735654815,  -3.0464259012480506,   1.5957149950044396, -2.3918785161176914,  -5.690202833294665,  -4.362055515086487,    5.632842355862257,  -1.3996719228941163,  1.0444767595454572, -4.1700691122916895,   0.2555688014799678,   -0.7400251233847023,  -2.085464032654301,   1.2099805125704204,  -4.132206845762882,  -2.742560185537445,   1.865640165977124,   9.4423576662463e-2,     0.69558302021461,   3.449157684481115, -1.3225196176906227,   3.653058570674245,   1.6763527691049536,  -0.7603255290291382,   -0.7060331305130817, -0.7859244191924831,   2.976472400229503 ]];
+
+ b2=[-4.210458192745416,-0.3198620559445251,-2.268919221342209,-4.251761663692756,-4.39203765214934,-2.0417124706303276,-3.8262587025357746,-6.712722134146137,-4.53584022534966,-5.0421173349804125];
+
+            var mouseIsDown = false;
+            function getContext(){
+                return document.getElementById('canvasInAPerfectWorld').getContext("2d");
+            }
+
+            function getMousePos(canvas, evt) {
+                var rect = canvas.getBoundingClientRect();
+                return {
+                x: evt.clientX - rect.left,
+                y: evt.clientY - rect.top
+                };
+            }
+
+
+            function rndSmpl(){
+                cleanCanv();
+                ctx=getContext();
+                r=Math.floor((Math.random() * 100));
+                sam=samp[r];
+                p=0;
+                for(j=0;j<28;j++)
+                for(i=0;i<28;i++)
+                {
+                        c=sam[p];
+                        c*=255;
+                        c=255-c;
+                        c+=c*256+c*256*256;
+                        p++;
+                        
+                        ctx.fillStyle=('#' + c.toString(16).padStart(6, '0'));
+                        ctx.fillRect(10*i, 10*j, 10, 10); 
+                }
+            }
+
+
+            function cleanCanv(){
+                ctx=getContext();
+                for(i=0;i<28;i++)
+                    for(j=0;j<28;j++)
+                        {
+                            if((i+j)%2==0)ctx.fillStyle="#eeeeff";
+                            else ctx.fillStyle="#ccccff";
+                            ctx.fillRect(10*i, 10*j, 10, 10); 
+                        }
+            }
+
+            function askNet(){
+                ctx=getContext();
+                var arr=[];
+                var imgd = ctx.getImageData(0, 0, 280, 280);
+                var pix = imgd.data;
+                for(j=0;j<28;j++)
+                for(i=0;i<28;i++)
+                    {
+                        c=0;
+                        for(ii=0;ii<10;ii++)
+                            for(jj=0;jj<10;jj++)
+                                if(pix[((i*10+ii)*4+(j*10+jj)*280*4)]<200)c++;
+                       
+                        if(c<20)c=0;
+                        else c=100;
+                        arr.push(c/100);
+                        c=255-c*255/100;
+                        c+=256*c+256*256*c;
+                        ctx.fillStyle=('#' + c.toString(16).padStart(6, '0'));
+                        ctx.fillRect(10*i, 10*j, 10, 10); 
+                    }
+
+                inp=math.matrix(arr);
+                //alert (inp);
+
+                m1=math.matrix(w1);
+                v1=math.matrix(b1);
+                m2=math.matrix(w2);
+                v2=math.matrix(b2);
+
+                outp=math.multiply(m1,inp);
+                outp=math.add(outp,v1);
+                outp=outp.map(function (value,index,matrix){return 1/(1+math.exp(-value));});
+                outp=math.multiply(m2,outp);
+                outp=math.add(outp,v2);
+                outp=outp.map(function (value,index,matrix){return 1/(1+math.exp(-value));});
+                max=0;
+                ans=0;
+                for(i=0;i<10;i++)
+                {
+
+                    if(outp.valueOf()[i]>max){
+                        max=outp.valueOf()[i];
+                        ans=i;
+                    }
+                }
+
+                document.getElementById("outp").innerHTML = "<p>I think this is a <b>" + ans + "</b><br/><i>confid.:"+max+"</i></p>";
+            }
+
+            cnv=document.getElementById('canvasInAPerfectWorld');
+            cnv.onmousedown = function(e){mouseIsDown = true;}
+            cnv.onmouseup   = function(e){mouseIsDown = false;}
+            cnv.onmousemove=function(e){
+                    ctx=getContext();
+                    if(!mouseIsDown)return;
+                    ctx.fillStyle="#222222";
+                    pos=getMousePos(this,e)
+                //    ctx.fillRect(pos.x, pos.y, 25,25); 
+            }
+
+            rndSmpl();
+        </script>
+    </body>
+</html>
-- 
cgit v1.2.3