/*
 *  /MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/Main.js
 *  
 *  Copyright (c) 2010-2013 The MathJax Consortium
 *
 *  Part of the MathJax library.
 *  See http://www.mathjax.org for details.
 * 
 *  Licensed under the Apache License, Version 2.0;
 *  you may not use this file except in compliance with the License.
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 */

MathJax.OutputJax["HTML-CSS"].defineImageData({"MathJax_Math-italic":{32:[[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0]],47:[[5,6,1],[6,8,2],[7,8,2],[8,10,2],[9,12,3],[11,14,3],[13,18,4],[15,21,5],[18,25,6],[21,31,7],[25,36,8],[30,45,10],[36,53,12],[42,61,14]],65:[[6,5,0],[7,6,0],[8,6,0],[9,8,0],[11,9,0],[13,11,0],[15,14,0],[17,16,0],[21,19,0],[24,24,0],[29,28,0],[34,34,1],[41,41,1],[48,47,1]],66:[[6,5,0],[7,6,0],[8,6,0],[9,8,0],[11,9,0],[13,11,0],[15,14,0],[18,16,0],[21,19,0],[25,23,0],[30,27,0],[36,33,0],[42,39,0],[50,45,0]],67:[[6,5,0],[7,6,0],[8,6,0],[9,8,0],[11,9,0],[13,11,0],[15,14,0],[18,16,0],[21,20,1],[25,25,1],[30,29,1],[36,35,1],[42,41,1],[50,48,1]],68:[[6,5,0],[7,6,0],[8,6,0],[10,8,0],[12,10,0],[14,11,0],[16,14,0],[19,16,0],[23,19,0],[27,23,0],[32,27,0],[38,33,0],[45,39,0],[53,45,0]],69:[[6,5,0],[7,6,0],[8,6,0],[9,8,0],[11,9,0],[13,11,0],[15,14,0],[18,16,0],[22,19,0],[26,23,0],[30,27,0],[36,33,0],[43,39,0],[51,46,0]],70:[[6,5,0],[7,6,0],[8,6,0],[9,8,0],[11,9,0],[13,11,0],[15,14,0],[18,16,0],[21,19,0],[25,23,0],[30,27,0],[35,33,0],[42,39,0],[50,45,-1]],71:[[6,5,0],[7,6,0],[8,6,0],[9,8,0],[11,9,0],[13,11,0],[15,14,0],[18,16,0],[21,20,1],[25,25,1],[30,29,1],[36,35,1],[42,41,1],[50,48,1]],72:[[7,5,0],[8,7,0],[9,7,0],[11,9,0],[13,10,0],[15,12,0],[18,15,0],[21,17,0],[25,20,0],[30,24,0],[35,28,0],[42,34,0],[50,40,0],[59,46,0]],73:[[4,5,0],[5,6,0],[5,6,0],[6,8,0],[7,9,0],[9,11,0],[10,14,0],[12,16,0],[14,19,0],[17,23,0],[20,27,0],[24,33,0],[28,39,0],[34,45,0]],74:[[5,5,0],[6,7,0],[7,6,0],[8,9,0],[9,10,0],[11,12,0],[13,15,0],[15,17,0],[18,21,1],[21,25,1],[25,29,1],[30,35,1],[35,41,1],[42,47,1]],75:[[7,5,0],[8,6,0],[9,6,0],[11,8,0],[13,10,0],[15,11,0],[18,14,0],[21,16,0],[25,19,0],[30,23,0],[35,27,0],[42,33,0],[50,39,0],[59,45,0]],76:[[5,5,0],[6,6,0],[7,6,0],[8,8,0],[9,9,0],[11,11,0],[13,14,0],[15,16,0],[18,19,0],[22,23,0],[26,27,0],[30,33,0],[36,39,0],[43,45,-1]],77:[[8,5,0],[9,6,0],[11,6,0],[13,8,0],[15,10,0],[18,11,0],[21,14,0],[25,16,0],[29,19,0],[35,24,0],[42,27,0],[49,33,0],[58,39,0],[70,45,-1]],78:[[7,5,0],[8,7,0],[9,6,0],[11,9,0],[13,10,0],[15,12,0],[18,15,0],[21,17,0],[25,20,0],[30,24,0],[35,28,0],[42,34,0],[50,39,0],[59,46,0]],79:[[6,5,0],[7,6,0],[8,6,0],[9,8,0],[11,9,0],[13,11,0],[15,14,0],[18,16,0],[21,20,1],[25,25,1],[29,29,1],[35,35,2],[41,41,1],[49,48,1]],80:[[6,5,0],[7,6,0],[8,6,0],[9,8,0],[11,9,0],[13,11,0],[15,14,0],[18,16,0],[21,19,0],[25,23,0],[30,27,0],[35,33,0],[42,39,0],[50,45,0]],81:[[6,6,1],[7,8,2],[8,8,2],[9,10,2],[11,12,3],[13,14,3],[15,18,4],[18,21,5],[21,25,6],[25,31,7],[29,36,8],[35,44,10],[41,51,11],[49,59,13]],82:[[6,5,0],[7,6,0],[8,6,0],[9,8,0],[11,9,0],[13,11,0],[15,14,0],[18,16,0],[21,20,1],[25,24,1],[30,28,1],[35,34,1],[42,40,1],[50,46,1]],83:[[5,5,0],[6,6,0],[7,6,0],[8,8,0],[9,9,0],[11,11,0],[13,14,0],[15,16,0],[18,20,1],[22,25,1],[26,29,1],[31,35,2],[36,41,1],[43,48,2]],84:[[5,5,0],[6,6,0],[7,6,0],[9,8,0],[10,9,0],[12,11,0],[14,14,0],[17,16,0],[20,19,0],[24,23,0],[28,26,0],[33,32,0],[40,38,0],[47,44,0]],85:[[6,5,0],[7,6,0],[8,7,0],[10,9,0],[11,10,0],[13,12,0],[15,15,0],[18,17,0],[22,21,1],[26,25,1],[31,29,1],[36,35,1],[43,41,1],[51,48,1]],86:[[6,6,1],[7,7,1],[8,7,1],[10,9,1],[11,10,1],[13,12,1],[15,15,1],[18,17,1],[22,20,1],[26,24,1],[31,28,1],[36,35,2],[43,41,2],[51,47,1]],87:[[8,5,0],[9,6,0],[11,6,0],[13,8,0],[15,9,0],[18,11,0],[21,14,0],[25,16,0],[29,20,1],[35,24,1],[41,28,1],[49,34,1],[58,41,2],[69,48,2]],88:[[6,5,0],[8,7,1],[9,7,1],[10,9,1],[12,10,1],[15,12,1],[17,15,1],[20,17,1],[24,20,1],[28,24,1],[34,28,1],[40,34,1],[48,40,1],[56,46,1]],89:[[6,5,0],[7,6,0],[8,6,0],[9,8,0],[11,9,0],[13,11,0],[15,14,0],[18,16,0],[22,19,0],[26,23,0],[30,27,0],[36,33,0],[43,39,0],[51,45,-1]],90:[[5,5,0],[6,6,0],[8,6,0],[9,8,0],[10,9,0],[12,11,0],[15,14,0],[17,16,0],[20,19,0],[24,23,0],[29,27,0],[34,33,0],[40,39,0],[48,45,0]],97:[[4,3,0],[5,4,0],[5,4,0],[6,5,0],[7,6,0],[9,7,0],[10,9,0],[12,10,0],[14,12,0],[17,15,0],[20,17,0],[24,22,1],[28,26,1],[34,30,1]],98:[[3,5,0],[4,6,0],[5,6,0],[5,8,0],[6,9,0],[7,11,0],[9,14,0],[10,16,0],[12,19,0],[14,24,0],[17,27,0],[20,34,1],[24,40,1],[28,47,1]],99:[[3,3,0],[4,4,0],[5,4,0],[6,5,0],[6,6,0],[8,7,0],[9,9,0],[10,10,0],[12,12,0],[15,15,0],[17,17,0],[21,22,1],[24,26,1],[29,30,1]],100:[[4,5,0],[5,6,0],[6,6,0],[7,8,0],[8,9,0],[9,11,0],[11,14,0],[13,16,0],[15,19,0],[18,24,0],[21,27,0],[25,34,1],[30,40,1],[35,47,1]],101:[[3,3,0],[4,4,0],[5,4,0],[6,5,0],[6,6,0],[8,7,0],[9,9,0],[10,10,0],[12,12,0],[15,15,0],[17,17,0],[20,22,1],[24,26,1],[29,30,1]],102:[[4,6,1],[5,8,2],[6,8,2],[7,10,2],[8,12,3],[10,14,3],[11,18,4],[13,21,5],[16,25,6],[19,31,7],[22,36,8],[26,43,10],[31,51,12],[37,60,13]],103:[[4,4,1],[4,6,2],[5,6,2],[6,7,2],[7,9,3],[8,10,3],[10,13,4],[12,15,5],[14,18,6],[16,22,7],[19,25,8],[23,31,10],[27,37,12],[32,42,13]],104:[[4,5,0],[5,6,0],[6,6,0],[7,8,0],[8,9,0],[10,11,0],[11,14,0],[13,16,0],[16,19,0],[19,24,0],[22,27,0],[26,34,1],[31,40,1],[37,47,1]],105:[[3,5,0],[3,6,0],[3,6,0],[4,8,0],[5,10,0],[5,11,0],[6,14,0],[7,16,0],[9,18,0],[10,23,0],[12,26,0],[14,32,1],[17,38,1],[20,44,1]],106:[[4,6,1],[5,8,2],[5,8,2],[6,10,2],[7,13,3],[8,14,3],[9,18,4],[11,20,5],[13,24,6],[15,30,7],[17,33,8],[20,41,10],[24,49,12],[28,57,13]],107:[[4,5,0],[5,6,0],[5,6,0],[6,8,0],[7,9,0],[9,11,0],[10,14,0],[12,16,0],[14,19,0],[17,24,0],[20,27,0],[24,34,1],[28,40,1],[33,47,1]],108:[[2,6,0],[3,7,0],[3,7,0],[4,9,0],[4,10,0],[5,12,0],[6,15,0],[7,17,0],[8,20,0],[9,24,0],[11,28,0],[13,35,1],[15,40,1],[18,47,1]],109:[[6,3,0],[8,4,0],[9,4,0],[10,5,0],[12,6,0],[15,7,0],[17,9,0],[20,10,0],[24,12,0],[28,15,0],[34,17,0],[40,22,1],[48,26,1],[56,30,1]],110:[[4,3,0],[5,4,0],[6,4,0],[7,5,0],[8,6,0],[10,7,0],[12,9,0],[14,10,0],[16,12,0],[19,15,0],[23,17,0],[27,22,1],[32,26,1],[38,30,1]],111:[[4,3,0],[4,4,0],[5,4,0],[6,5,0],[7,6,0],[8,7,0],[10,9,0],[12,10,0],[14,12,0],[16,15,0],[19,17,0],[23,22,1],[27,26,1],[32,30,1]],112:[[5,4,1],[6,6,2],[6,6,2],[7,7,2],[8,9,3],[10,10,3],[11,13,4],[13,15,5],[16,18,6],[19,22,7],[22,25,8],[26,31,10],[31,37,12],[36,43,14]],113:[[4,4,1],[4,6,2],[5,6,2],[6,7,2],[7,9,3],[8,10,3],[9,13,4],[11,15,5],[13,18,6],[16,22,7],[18,24,7],[22,31,10],[26,37,12],[31,42,13]],114:[[3,3,0],[4,4,0],[5,4,0],[6,5,0],[6,6,0],[8,7,0],[9,9,0],[10,10,0],[12,12,0],[15,15,0],[17,17,0],[20,22,1],[24,26,1],[29,30,1]],115:[[3,3,0],[4,4,0],[5,4,0],[5,5,0],[6,6,0],[7,7,0],[9,9,0],[10,10,0],[12,12,0],[14,15,0],[17,17,0],[20,22,1],[24,26,1],[28,30,1]],116:[[3,5,0],[3,6,0],[4,6,0],[4,7,0],[5,9,0],[6,10,0],[7,13,0],[8,15,0],[10,18,0],[11,22,0],[13,25,0],[16,30,1],[19,36,1],[22,42,1]],117:[[4,3,0],[5,4,0],[6,4,0],[7,5,0],[8,6,0],[10,7,0],[11,9,0],[13,10,0],[16,12,0],[19,15,0],[22,17,0],[26,22,1],[31,26,1],[37,30,1]],118:[[4,3,0],[4,4,0],[5,4,0],[6,5,0],[7,6,0],[8,7,0],[10,9,0],[11,10,0],[13,12,0],[16,15,0],[19,17,0],[22,22,1],[26,26,1],[31,30,1]],119:[[5,3,0],[6,4,0],[7,4,0],[9,5,0],[10,6,0],[12,7,0],[14,9,0],[16,10,0],[20,12,0],[23,15,0],[27,17,0],[32,22,1],[39,26,1],[46,30,1]],120:[[4,3,0],[5,4,0],[6,4,0],[7,5,0],[8,6,0],[9,7,0],[11,9,0],[13,10,0],[15,12,0],[18,15,0],[21,17,0],[25,22,1],[29,26,1],[35,30,1]],121:[[4,4,1],[5,6,2],[5,6,2],[6,7,2],[7,9,3],[9,10,3],[10,13,4],[12,15,5],[14,18,6],[17,22,7],[20,25,8],[23,31,10],[28,37,12],[33,42,13]],122:[[4,3,0],[4,4,0],[5,4,0],[6,5,0],[7,6,0],[8,7,0],[10,9,0],[11,10,0],[13,12,0],[16,15,0],[19,17,0],[22,22,1],[26,26,1],[31,30,1]],160:[[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0],[1,1,0]],915:[[5,5,0],[6,6,0],[8,6,0],[9,8,0],[10,9,0],[12,11,0],[14,14,0],[17,16,0],[20,19,0],[24,23,0],[29,27,0],[34,33,0],[40,39,0],[48,45,0]],916:[[6,5,0],[7,6,0],[8,6,0],[10,8,0],[11,9,0],[14,11,0],[16,14,0],[19,16,0],[22,19,0],[26,24,0],[31,28,0],[37,34,0],[44,41,0],[52,47,0]],920:[[6,5,0],[7,6,0],[8,6,0],[9,8,0],[11,9,0],[13,11,0],[15,14,0],[18,16,0],[21,20,1],[25,25,1],[29,29,1],[35,35,2],[41,41,1],[49,48,1]],923:[[5,5,0],[6,7,0],[7,7,0],[8,8,0],[10,10,0],[12,12,0],[14,15,0],[16,16,0],[19,20,0],[23,24,0],[27,28,0],[32,34,1],[38,41,1],[45,47,0]],926:[[6,5,0],[7,6,0],[8,6,0],[10,8,0],[11,9,0],[13,11,0],[16,14,0],[19,16,0],[22,19,0],[26,23,0],[31,27,0],[37,32,0],[43,38,0],[52,45,0]],928:[[7,5,0],[8,6,0],[9,6,0],[11,8,0],[13,9,0],[15,11,0],[18,14,0],[21,16,0],[25,19,0],[30,23,0],[35,27,0],[42,33,0],[50,39,0],[59,45,0]],931:[[6,5,0],[7,6,0],[8,6,0],[10,8,0],[12,9,0],[14,11,0],[16,14,0],[19,16,0],[23,19,0],[27,23,0],[32,27,0],[38,33,0],[45,39,0],[54,46,0]],933:[[5,5,0],[6,6,0],[7,6,0],[9,8,0],[10,9,0],[12,11,0],[14,14,0],[17,16,0],[20,19,0],[23,24,0],[28,28,0],[33,34,0],[39,40,0],[46,46,0]],934:[[5,5,0],[6,6,0],[7,6,0],[8,8,0],[9,9,0],[11,11,0],[13,14,0],[15,16,0],[18,19,0],[22,23,0],[26,27,0],[30,32,-1],[36,39,0],[43,45,-1]],936:[[5,5,0],[6,6,0],[7,6,0],[9,8,0],[10,9,0],[12,11,0],[14,14,0],[17,16,0],[20,19,0],[23,23,0],[28,27,0],[33,32,-1],[39,39,0],[46,45,-1]],937:[[6,5,0],[7,6,0],[8,6,0],[10,8,0],[11,9,0],[14,11,0],[16,14,0],[19,16,0],[22,19,0],[26,24,0],[31,28,0],[37,34,0],[44,40,0],[52,47,0]],945:[[5,3,0],[5,4,0],[6,4,0],[8,5,0],[9,6,0],[10,7,0],[12,9,0],[14,10,0],[17,12,0],[20,15,0],[24,17,0],[28,22,1],[34,26,1],[40,30,1]],946:[[4,6,1],[5,8,2],[6,8,2],[7,10,2],[8,12,3],[10,14,3],[12,18,4],[14,21,5],[16,25,6],[19,31,7],[23,36,8],[27,43,10],[32,52,12],[38,59,13]],947:[[4,4,1],[5,6,2],[6,6,2],[7,7,2],[8,9,3],[10,10,3],[11,13,4],[13,15,5],[16,18,6],[18,22,7],[22,25,8],[26,32,11],[31,38,13],[36,44,15]],948:[[4,5,0],[4,6,0],[5,6,0],[6,8,0],[7,9,0],[8,11,0],[9,14,0],[11,16,0],[13,19,0],[15,24,0],[18,28,0],[21,35,1],[25,41,1],[30,48,1]],949:[[3,3,0],[4,4,0],[5,4,0],[6,5,0],[6,6,0],[8,7,0],[9,9,0],[10,10,0],[12,13,1],[15,16,1],[17,18,1],[20,22,1],[24,27,2],[29,31,1]],950:[[4,6,1],[4,8,2],[5,8,2],[6,10,2],[7,12,3],[8,14,3],[10,18,4],[11,21,5],[13,25,6],[16,31,7],[19,36,8],[22,43,10],[26,52,12],[31,60,13]],951:[[4,4,1],[5,6,2],[5,6,2],[6,7,2],[7,9,3],[9,10,3],[10,13,4],[12,15,5],[14,18,6],[17,22,7],[20,25,8],[24,32,11],[28,38,13],[33,44,15]],952:[[4,5,0],[4,6,0],[5,6,0],[6,8,0],[7,9,0],[8,11,0],[9,14,0],[11,16,0],[13,19,0],[16,24,0],[19,28,0],[22,34,1],[26,41,1],[31,47,1]],953:[[3,3,0],[3,4,0],[4,4,0],[4,5,0],[5,6,0],[6,7,0],[7,9,0],[8,10,0],[10,12,0],[11,15,0],[13,17,0],[16,22,1],[19,26,1],[22,30,1]],954:[[4,3,0],[5,4,0],[6,4,0],[7,5,0],[8,6,0],[10,7,0],[11,9,0],[13,10,0],[16,12,0],[19,15,0],[22,17,0],[26,22,1],[31,26,1],[37,30,1]],955:[[4,5,0],[5,6,0],[6,6,0],[7,8,0],[8,9,0],[10,11,0],[11,14,0],[13,16,0],[16,19,0],[19,24,0],[22,27,0],[26,34,1],[31,40,1],[37,47,1]],956:[[4,4,1],[5,6,2],[6,6,2],[7,7,2],[8,9,3],[10,10,3],[12,13,4],[14,15,5],[16,18,6],[20,22,7],[23,25,8],[27,32,11],[33,38,13],[39,44,15]],957:[[4,3,0],[5,4,0],[6,4,0],[7,5,0],[8,6,0],[9,7,0],[11,9,0],[13,10,0],[15,12,0],[18,15,0],[21,17,0],[25,22,1],[30,25,0],[35,29,0]],958:[[4,6,1],[4,8,2],[5,8,2],[6,10,2],[7,12,3],[8,14,3],[9,18,4],[11,21,5],[13,25,6],[15,31,7],[18,36,8],[21,43,10],[25,52,12],[30,60,13]],959:[[4,3,0],[4,4,0],[5,4,0],[6,5,0],[7,6,0],[8,7,0],[10,9,0],[12,10,0],[14,12,0],[16,15,0],[19,17,0],[23,22,1],[27,26,1],[32,30,1]],960:[[4,3,0],[5,4,0],[6,4,0],[7,5,0],[8,6,0],[10,7,0],[12,9,0],[14,10,0],[16,12,0],[19,15,0],[23,17,0],[27,22,1],[32,25,1],[38,29,1]],961:[[4,4,1],[5,6,2],[5,6,2],[6,7,2],[7,9,3],[9,10,3],[10,13,4],[12,15,5],[14,18,6],[17,22,7],[20,25,8],[24,32,11],[28,38,13],[34,44,15]],962:[[3,4,1],[4,5,1],[5,5,1],[5,7,2],[6,8,2],[7,9,2],[8,11,2],[10,13,3],[12,15,3],[14,19,4],[17,22,5],[20,26,5],[23,32,7],[27,36,7]],963:[[4,3,0],[5,4,0],[6,4,0],[7,5,0],[8,6,0],[10,7,0],[12,9,0],[14,10,0],[16,12,0],[19,15,0],[23,17,0],[27,22,1],[32,25,1],[38,29,1]],964:[[4,3,0],[5,4,0],[6,4,0],[7,5,0],[8,6,0],[9,7,0],[10,9,0],[12,10,0],[15,12,0],[17,15,0],[21,17,0],[24,21,1],[29,26,1],[34,29,1]],965:[[4,3,0],[5,4,0],[6,4,0],[7,5,0],[8,6,0],[9,7,0],[11,9,0],[13,10,0],[15,12,0],[18,15,0],[21,17,0],[25,22,1],[29,26,1],[35,30,1]],966:[[5,4,1],[6,6,2],[7,6,2],[8,7,2],[9,9,3],[11,10,3],[13,13,4],[15,15,5],[18,18,6],[21,22,7],[25,25,8],[29,32,11],[35,38,13],[41,44,15]],967:[[5,4,1],[5,6,2],[6,6,2],[8,7,2],[9,9,3],[10,10,3],[12,13,4],[14,15,5],[17,18,6],[20,22,7],[24,25,8],[28,31,10],[34,37,12],[40,42,13]],968:[[5,6,1],[6,8,2],[7,8,2],[8,10,2],[9,12,3],[11,14,3],[13,18,4],[15,21,5],[18,25,6],[21,31,7],[25,35,8],[30,43,10],[35,51,12],[42,59,13]],969:[[5,3,0],[6,4,0],[6,4,0],[8,5,0],[9,6,0],[11,7,0],[12,9,0],[15,10,0],[17,12,0],[20,15,0],[24,17,0],[29,22,1],[34,26,1],[40,30,1]],977:[[4,5,0],[5,6,0],[6,6,0],[7,8,0],[8,9,0],[10,11,0],[11,14,0],[14,16,0],[16,19,0],[19,24,0],[23,28,0],[27,34,1],[32,41,1],[38,47,1]],981:[[4,6,1],[5,8,2],[6,8,2],[7,10,2],[8,12,3],[10,14,3],[12,18,4],[14,21,5],[16,25,6],[20,31,7],[23,35,8],[27,43,10],[32,51,12],[39,59,13]],982:[[6,3,0],[7,4,0],[9,4,0],[10,5,0],[12,6,0],[14,7,0],[17,9,0],[20,10,0],[23,12,0],[28,15,0],[33,17,0],[39,22,1],[46,25,1],[55,29,1]],1009:[[4,4,1],[5,6,2],[5,6,2],[6,7,2],[8,9,3],[9,10,3],[10,13,4],[12,15,5],[15,18,6],[17,22,7],[20,25,8],[24,31,10],[29,37,12],[34,42,13]],1013:[[3,3,0],[4,4,0],[4,4,0],[5,5,0],[6,6,0],[7,7,0],[8,9,0],[9,10,0],[11,12,0],[13,15,0],[15,17,0],[18,21,1],[21,25,1],[25,30,1]]}});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].imgDir+"/Math/Italic"+MathJax.OutputJax["HTML-CSS"].imgPacked+"/Main.js");

