// Hypestgammon equities when backgammon value is 1 // // eq[24,2] = [0.544454, 0.116477, -0.184103] means // that if my checker is on my 24pt and my opponent's // is on my 2pt, then my equity, assuming I'm on roll, is: // 0.544454 if I own the cube on 2 // 0.116477 if the cube is centered // -0.184103 if my opponent owns the cube on 2 // // The 0pt is the bearoff tray for me and the bar for my opponent. // The 25pt is the bearoff tray for my opponent and the bar for me. // eq[0,0] = [ 2.000000, 1.000000, 2.000000 ] eq[0,1] = [ 2.000000, 1.000000, 2.000000 ] eq[0,2] = [ 2.000000, 1.000000, 2.000000 ] eq[0,3] = [ 2.000000, 1.000000, 2.000000 ] eq[0,4] = [ 2.000000, 1.000000, 2.000000 ] eq[0,5] = [ 2.000000, 1.000000, 2.000000 ] eq[0,6] = [ 2.000000, 1.000000, 2.000000 ] eq[0,7] = [ 2.000000, 1.000000, 2.000000 ] eq[0,8] = [ 2.000000, 1.000000, 2.000000 ] eq[0,9] = [ 2.000000, 1.000000, 2.000000 ] eq[0,10] = [ 2.000000, 1.000000, 2.000000 ] eq[0,11] = [ 2.000000, 1.000000, 2.000000 ] eq[0,12] = [ 2.000000, 1.000000, 2.000000 ] eq[0,13] = [ 2.000000, 1.000000, 2.000000 ] eq[0,14] = [ 2.000000, 1.000000, 2.000000 ] eq[0,15] = [ 2.000000, 1.000000, 2.000000 ] eq[0,16] = [ 2.000000, 1.000000, 2.000000 ] eq[0,17] = [ 2.000000, 1.000000, 2.000000 ] eq[0,18] = [ 2.000000, 1.000000, 2.000000 ] eq[0,19] = [ 2.000000, 1.000000, 2.000000 ] eq[0,20] = [ 2.000000, 1.000000, 2.000000 ] eq[0,21] = [ 2.000000, 1.000000, 2.000000 ] eq[0,22] = [ 2.000000, 1.000000, 2.000000 ] eq[0,23] = [ 2.000000, 1.000000, 2.000000 ] eq[0,24] = [ 2.000000, 1.000000, 2.000000 ] eq[1,0] = [ 2.000000, 1.000000, 2.000000 ] eq[1,2] = [ 2.000000, 1.000000, 2.000000 ] eq[1,3] = [ 2.000000, 1.000000, 2.000000 ] eq[1,4] = [ 2.000000, 1.000000, 2.000000 ] eq[1,5] = [ 2.000000, 1.000000, 2.000000 ] eq[1,6] = [ 2.000000, 1.000000, 2.000000 ] eq[1,7] = [ 2.000000, 1.000000, 2.000000 ] eq[1,8] = [ 2.000000, 1.000000, 2.000000 ] eq[1,9] = [ 2.000000, 1.000000, 2.000000 ] eq[1,10] = [ 2.000000, 1.000000, 2.000000 ] eq[1,11] = [ 2.000000, 1.000000, 2.000000 ] eq[1,12] = [ 2.000000, 1.000000, 2.000000 ] eq[1,13] = [ 2.000000, 1.000000, 2.000000 ] eq[1,14] = [ 2.000000, 1.000000, 2.000000 ] eq[1,15] = [ 2.000000, 1.000000, 2.000000 ] eq[1,16] = [ 2.000000, 1.000000, 2.000000 ] eq[1,17] = [ 2.000000, 1.000000, 2.000000 ] eq[1,18] = [ 2.000000, 1.000000, 2.000000 ] eq[1,19] = [ 2.000000, 1.000000, 2.000000 ] eq[1,20] = [ 2.000000, 1.000000, 2.000000 ] eq[1,21] = [ 2.000000, 1.000000, 2.000000 ] eq[1,22] = [ 2.000000, 1.000000, 2.000000 ] eq[1,23] = [ 2.000000, 1.000000, 2.000000 ] eq[1,24] = [ 2.000000, 1.000000, 2.000000 ] eq[1,25] = [ -2.000000, -1.000000, -2.000000 ] eq[2,0] = [ 2.000000, 1.000000, 1.938993 ] eq[2,1] = [ 2.000000, 1.000000, 1.938993 ] eq[2,3] = [ 2.000000, 1.000000, 2.000000 ] eq[2,4] = [ 2.000000, 1.000000, 2.000000 ] eq[2,5] = [ 2.000000, 1.000000, 2.000000 ] eq[2,6] = [ 2.000000, 1.000000, 2.000000 ] eq[2,7] = [ 2.000000, 1.000000, 2.000000 ] eq[2,8] = [ 2.000000, 1.000000, 2.000000 ] eq[2,9] = [ 2.000000, 1.000000, 2.000000 ] eq[2,10] = [ 2.000000, 1.000000, 2.000000 ] eq[2,11] = [ 2.000000, 1.000000, 2.000000 ] eq[2,12] = [ 2.000000, 1.000000, 2.000000 ] eq[2,13] = [ 2.000000, 1.000000, 2.000000 ] eq[2,14] = [ 2.000000, 1.000000, 2.000000 ] eq[2,15] = [ 2.000000, 1.000000, 2.000000 ] eq[2,16] = [ 2.000000, 1.000000, 2.000000 ] eq[2,17] = [ 2.000000, 1.000000, 2.000000 ] eq[2,18] = [ 2.000000, 1.000000, 2.000000 ] eq[2,19] = [ 2.000000, 1.000000, 1.888889 ] eq[2,20] = [ 2.000000, 1.000000, 1.777778 ] eq[2,21] = [ 2.000000, 1.000000, 1.666667 ] eq[2,22] = [ 2.000000, 1.000000, 1.444444 ] eq[2,23] = [ 2.000000, 1.000000, 1.333333 ] eq[2,24] = [ 2.000000, 1.000000, 1.333333 ] eq[2,25] = [ -2.000000, -1.000000, -2.000000 ] eq[3,0] = [ 2.000000, 1.000000, 1.870076 ] eq[3,1] = [ 2.000000, 1.000000, 1.871770 ] eq[3,2] = [ 2.000000, 1.000000, 1.931083 ] eq[3,4] = [ 2.000000, 1.000000, 2.000000 ] eq[3,5] = [ 2.000000, 1.000000, 2.000000 ] eq[3,6] = [ 2.000000, 1.000000, 2.000000 ] eq[3,7] = [ 2.000000, 1.000000, 2.000000 ] eq[3,8] = [ 2.000000, 1.000000, 2.000000 ] eq[3,9] = [ 2.000000, 1.000000, 2.000000 ] eq[3,10] = [ 2.000000, 1.000000, 2.000000 ] eq[3,11] = [ 2.000000, 1.000000, 2.000000 ] eq[3,12] = [ 2.000000, 1.000000, 2.000000 ] eq[3,13] = [ 2.000000, 1.000000, 1.996914 ] eq[3,14] = [ 2.000000, 1.000000, 1.990741 ] eq[3,15] = [ 2.000000, 1.000000, 1.981481 ] eq[3,16] = [ 2.000000, 1.000000, 1.966049 ] eq[3,17] = [ 2.000000, 1.000000, 1.947531 ] eq[3,18] = [ 2.000000, 1.000000, 1.929012 ] eq[3,19] = [ 2.000000, 1.000000, 1.709877 ] eq[3,20] = [ 2.000000, 1.000000, 1.493827 ] eq[3,21] = [ 2.000000, 1.000000, 1.280864 ] eq[3,22] = [ 1.777778, 0.888889, 0.888889 ] eq[3,23] = [ 1.333333, 0.666667, 0.666667 ] eq[3,24] = [ 1.333333, 0.666667, 0.666667 ] eq[3,25] = [ -2.000000, -1.000000, -2.000000 ] eq[4,0] = [ 2.000000, 1.000000, 1.791095 ] eq[4,1] = [ 2.000000, 1.000000, 1.796351 ] eq[4,2] = [ 2.000000, 1.000000, 1.857579 ] eq[4,3] = [ 2.000000, 1.000000, 1.921019 ] eq[4,5] = [ 2.000000, 1.000000, 2.000000 ] eq[4,6] = [ 2.000000, 1.000000, 2.000000 ] eq[4,7] = [ 2.000000, 1.000000, 1.999914 ] eq[4,8] = [ 2.000000, 1.000000, 1.999657 ] eq[4,9] = [ 2.000000, 1.000000, 1.999143 ] eq[4,10] = [ 2.000000, 1.000000, 1.998200 ] eq[4,11] = [ 2.000000, 1.000000, 1.996742 ] eq[4,12] = [ 2.000000, 1.000000, 1.994770 ] eq[4,13] = [ 2.000000, 1.000000, 1.983711 ] eq[4,14] = [ 2.000000, 1.000000, 1.963735 ] eq[4,15] = [ 2.000000, 1.000000, 1.935014 ] eq[4,16] = [ 2.000000, 1.000000, 1.889660 ] eq[4,17] = [ 2.000000, 1.000000, 1.835562 ] eq[4,18] = [ 2.000000, 1.000000, 1.781979 ] eq[4,19] = [ 2.000000, 1.000000, 1.459791 ] eq[4,20] = [ 2.000000, 1.000000, 1.146691 ] eq[4,21] = [ 1.685185, 0.842593, 0.842593 ] eq[4,22] = [ 0.629630, 0.259259, 0.259259 ] eq[4,23] = [ 0.314815, 0.000000, 0.000000 ] eq[4,24] = [ 0.000000, 0.000000, 0.000000 ] eq[4,25] = [ -2.000000, -1.000000, -2.000000 ] eq[5,0] = [ 2.000000, 1.000000, 1.699505 ] eq[5,1] = [ 2.000000, 1.000000, 1.710416 ] eq[5,2] = [ 2.000000, 1.000000, 1.775589 ] eq[5,3] = [ 2.000000, 1.000000, 1.841200 ] eq[5,4] = [ 2.000000, 1.000000, 1.908410 ] eq[5,6] = [ 2.000000, 1.000000, 1.999678 ] eq[5,7] = [ 2.000000, 1.000000, 1.999143 ] eq[5,8] = [ 2.000000, 1.000000, 1.997888 ] eq[5,9] = [ 2.000000, 1.000000, 1.995592 ] eq[5,10] = [ 2.000000, 1.000000, 1.991634 ] eq[5,11] = [ 2.000000, 1.000000, 1.985699 ] eq[5,12] = [ 2.000000, 1.000000, 1.977816 ] eq[5,13] = [ 2.000000, 1.000000, 1.952203 ] eq[5,14] = [ 2.000000, 1.000000, 1.909532 ] eq[5,15] = [ 2.000000, 1.000000, 1.850466 ] eq[5,16] = [ 2.000000, 1.000000, 1.759824 ] eq[5,17] = [ 2.000000, 1.000000, 1.654738 ] eq[5,18] = [ 2.000000, 1.000000, 1.551655 ] eq[5,19] = [ 2.000000, 1.000000, 1.133361 ] eq[5,20] = [ 1.465706, 0.732853, 0.732853 ] eq[5,21] = [ 0.483025, 0.228395, 0.228395 ] eq[5,22] = [ 0.082819, -0.203704, -0.407407 ] eq[5,23] = [ -0.296296, -0.333333, -0.666667 ] eq[5,24] = [ -0.666667, -0.333333, -0.666667 ] eq[5,25] = [ -2.000000, -1.000000, -2.000000 ] eq[6,0] = [ 2.000000, 1.000000, 1.592223 ] eq[6,1] = [ 2.000000, 1.000000, 1.611154 ] eq[6,2] = [ 2.000000, 1.000000, 1.682503 ] eq[6,3] = [ 2.000000, 1.000000, 1.752402 ] eq[6,4] = [ 2.000000, 1.000000, 1.821924 ] eq[6,5] = [ 2.000000, 1.000000, 1.892542 ] eq[6,7] = [ 2.000000, 1.000000, 1.996388 ] eq[6,8] = [ 2.000000, 1.000000, 1.992679 ] eq[6,9] = [ 2.000000, 1.000000, 1.986352 ] eq[6,10] = [ 2.000000, 1.000000, 1.975954 ] eq[6,11] = [ 2.000000, 1.000000, 1.960826 ] eq[6,12] = [ 2.000000, 1.000000, 1.941106 ] eq[6,13] = [ 2.000000, 1.000000, 1.892747 ] eq[6,14] = [ 2.000000, 1.000000, 1.817390 ] eq[6,15] = [ 2.000000, 1.000000, 1.713267 ] eq[6,16] = [ 2.000000, 1.000000, 1.562424 ] eq[6,17] = [ 2.000000, 1.000000, 1.392854 ] eq[6,18] = [ 2.000000, 1.000000, 1.228151 ] eq[6,19] = [ 1.445640, 0.722820, 0.722820 ] eq[6,20] = [ 0.463249, 0.155235, 0.155235 ] eq[6,21] = [ -0.041424, -0.183642, -0.438272 ] eq[6,22] = [ -0.499486, -0.537037, -1.074074 ] eq[6,23] = [ -0.925926, -0.666667, -1.333333 ] eq[6,24] = [ -1.333333, -0.666667, -1.333333 ] eq[6,25] = [ -2.000000, -1.000000, -2.000000 ] eq[7,0] = [ 2.000000, 1.000000, 1.464656 ] eq[7,1] = [ 2.000000, 1.000000, 1.494289 ] eq[7,2] = [ 2.000000, 1.000000, 1.574253 ] eq[7,3] = [ 2.000000, 1.000000, 1.650651 ] eq[7,4] = [ 2.000000, 1.000000, 1.724451 ] eq[7,5] = [ 2.000000, 1.000000, 1.796967 ] eq[7,6] = [ 2.000000, 1.000000, 1.870661 ] eq[7,8] = [ 2.000000, 1.000000, 1.980856 ] eq[7,9] = [ 2.000000, 1.000000, 1.966943 ] eq[7,10] = [ 2.000000, 1.000000, 1.945059 ] eq[7,11] = [ 2.000000, 1.000000, 1.914154 ] eq[7,12] = [ 2.000000, 1.000000, 1.874629 ] eq[7,13] = [ 2.000000, 1.000000, 1.793772 ] eq[7,14] = [ 2.000000, 1.000000, 1.672244 ] eq[7,15] = [ 2.000000, 1.000000, 1.508356 ] eq[7,16] = [ 2.000000, 1.000000, 1.284277 ] eq[7,17] = [ 2.000000, 1.000000, 1.038980 ] eq[7,18] = [ 1.606249, 0.803124, 0.803124 ] eq[7,19] = [ 0.550159, 0.195993, 0.148547 ] eq[7,20] = [ -0.058978, -0.181813, -0.511431 ] eq[7,21] = [ -0.618056, -0.516975, -1.104938 ] eq[7,22] = [ -1.117798, -0.870370, -1.740741 ] eq[7,23] = [ -1.574074, -1.000000, -2.000000 ] eq[7,24] = [ -2.000000, -1.000000, -2.000000 ] eq[7,25] = [ -2.000000, -1.000000, -2.000000 ] eq[8,0] = [ 2.000000, 1.000000, 1.473199 ] eq[8,1] = [ 2.000000, 1.000000, 1.417588 ] eq[8,2] = [ 2.000000, 1.000000, 1.447840 ] eq[8,3] = [ 2.000000, 1.000000, 1.533024 ] eq[8,4] = [ 2.000000, 1.000000, 1.612952 ] eq[8,5] = [ 2.000000, 1.000000, 1.688722 ] eq[8,6] = [ 2.000000, 1.000000, 1.762527 ] eq[8,7] = [ 2.000000, 1.000000, 1.936970 ] eq[8,9] = [ 2.000000, 1.000000, 1.931060 ] eq[8,10] = [ 2.000000, 1.000000, 1.890821 ] eq[8,11] = [ 2.000000, 1.000000, 1.835605 ] eq[8,12] = [ 2.000000, 1.000000, 1.766316 ] eq[8,13] = [ 2.000000, 1.000000, 1.639759 ] eq[8,14] = [ 2.000000, 1.000000, 1.457573 ] eq[8,15] = [ 2.000000, 1.000000, 1.221094 ] eq[8,16] = [ 1.825972, 0.912986, 0.912986 ] eq[8,17] = [ 1.166547, 0.583273, 0.583273 ] eq[8,18] = [ 0.734240, 0.261674, 0.202083 ] eq[8,19] = [ 0.123245, -0.081785, -0.407009 ] eq[8,20] = [ -0.428698, -0.404035, -0.955876 ] eq[8,21] = [ -0.915052, -0.683642, -1.438272 ] eq[8,22] = [ -1.328189, -0.925926, -1.851852 ] eq[8,23] = [ -1.685185, -1.000000, -2.000000 ] eq[8,24] = [ -2.000000, -1.000000, -2.000000 ] eq[8,25] = [ -2.000000, -1.000000, -2.000000 ] eq[9,0] = [ 2.000000, 1.000000, 1.471634 ] eq[9,1] = [ 2.000000, 1.000000, 1.428756 ] eq[9,2] = [ 2.000000, 1.000000, 1.371498 ] eq[9,3] = [ 2.000000, 1.000000, 1.398822 ] eq[9,4] = [ 2.000000, 1.000000, 1.486468 ] eq[9,5] = [ 2.000000, 1.000000, 1.566319 ] eq[9,6] = [ 2.000000, 1.000000, 1.640229 ] eq[9,7] = [ 2.000000, 1.000000, 1.806416 ] eq[9,8] = [ 2.000000, 1.000000, 1.887229 ] eq[9,10] = [ 2.000000, 1.000000, 1.802858 ] eq[9,11] = [ 2.000000, 1.000000, 1.712855 ] eq[9,12] = [ 2.000000, 1.000000, 1.600116 ] eq[9,13] = [ 2.000000, 1.000000, 1.419790 ] eq[9,14] = [ 2.000000, 1.000000, 1.176737 ] eq[9,15] = [ 1.751290, 0.875645, 0.875645 ] eq[9,16] = [ 1.033494, 0.506169, 0.506169 ] eq[9,17] = [ 0.644609, 0.208407, 0.107985 ] eq[9,18] = [ 0.227743, -0.071660, -0.393596 ] eq[9,19] = [ -0.331119, -0.359563, -0.894663 ] eq[9,20] = [ -0.815599, -0.626257, -1.338592 ] eq[9,21] = [ -1.220979, -0.850309, -1.719136 ] eq[9,22] = [ -1.541667, -0.981481, -1.962963 ] eq[9,23] = [ -1.796296, -1.000000, -2.000000 ] eq[9,24] = [ -2.000000, -1.000000, -2.000000 ] eq[9,25] = [ -2.000000, -1.000000, -2.000000 ] eq[10,0] = [ 2.000000, 1.000000, 1.464284 ] eq[10,1] = [ 2.000000, 1.000000, 1.428334 ] eq[10,2] = [ 2.000000, 1.000000, 1.383488 ] eq[10,3] = [ 2.000000, 1.000000, 1.325470 ] eq[10,4] = [ 2.000000, 1.000000, 1.342924 ] eq[10,5] = [ 2.000000, 1.000000, 1.426845 ] eq[10,6] = [ 2.000000, 1.000000, 1.499641 ] eq[10,7] = [ 2.000000, 1.000000, 1.655174 ] eq[10,8] = [ 2.000000, 1.000000, 1.716509 ] eq[10,9] = [ 2.000000, 1.000000, 1.784786 ] eq[10,11] = [ 2.000000, 1.000000, 1.540737 ] eq[10,12] = [ 2.000000, 1.000000, 1.374588 ] eq[10,13] = [ 2.000000, 1.000000, 1.137945 ] eq[10,14] = [ 1.677650, 0.838825, 0.838825 ] eq[10,15] = [ 1.028477, 0.485117, 0.485117 ] eq[10,16] = [ 0.621972, 0.198869, 0.076975 ] eq[10,17] = [ 0.183802, -0.098078, -0.417709 ] eq[10,18] = [ -0.276426, -0.383388, -0.913229 ] eq[10,19] = [ -0.770535, -0.615736, -1.311244 ] eq[10,20] = [ -1.176804, -0.826875, -1.658122 ] eq[10,21] = [ -1.492713, -0.973765, -1.947531 ] eq[10,22] = [ -1.721193, -1.000000, -2.000000 ] eq[10,23] = [ -1.888889, -1.000000, -2.000000 ] eq[10,24] = [ -2.000000, -1.000000, -2.000000 ] eq[10,25] = [ -2.000000, -1.000000, -2.000000 ] eq[11,0] = [ 2.000000, 1.000000, 1.456061 ] eq[11,1] = [ 2.000000, 1.000000, 1.420758 ] eq[11,2] = [ 2.000000, 1.000000, 1.381215 ] eq[11,3] = [ 2.000000, 1.000000, 1.333786 ] eq[11,4] = [ 2.000000, 1.000000, 1.271294 ] eq[11,5] = [ 2.000000, 1.000000, 1.266965 ] eq[11,6] = [ 2.000000, 1.000000, 1.336432 ] eq[11,7] = [ 2.000000, 1.000000, 1.478048 ] eq[11,8] = [ 2.000000, 1.000000, 1.516001 ] eq[11,9] = [ 2.000000, 1.000000, 1.549957 ] eq[11,10] = [ 2.000000, 1.000000, 1.580613 ] eq[11,12] = [ 2.000000, 1.000000, 1.091762 ] eq[11,13] = [ 1.603279, 0.801639, 0.801639 ] eq[11,14] = [ 1.028173, 0.455855, 0.455855 ] eq[11,15] = [ 0.623035, 0.206682, 0.064919 ] eq[11,16] = [ 0.189509, -0.088790, -0.418403 ] eq[11,17] = [ -0.259425, -0.378685, -0.903551 ] eq[11,18] = [ -0.711975, -0.636217, -1.349572 ] eq[11,19] = [ -1.129125, -0.813009, -1.651481 ] eq[11,20] = [ -1.447149, -0.955476, -1.910951 ] eq[11,21] = [ -1.674783, -1.000000, -2.000000 ] eq[11,22] = [ -1.837963, -1.000000, -2.000000 ] eq[11,23] = [ -1.944444, -1.000000, -2.000000 ] eq[11,24] = [ -2.000000, -1.000000, -2.000000 ] eq[11,25] = [ -2.000000, -1.000000, -2.000000 ] eq[12,0] = [ 2.000000, 1.000000, 1.452522 ] eq[12,1] = [ 2.000000, 1.000000, 1.410790 ] eq[12,2] = [ 2.000000, 1.000000, 1.368817 ] eq[12,3] = [ 2.000000, 1.000000, 1.323103 ] eq[12,4] = [ 2.000000, 1.000000, 1.266892 ] eq[12,5] = [ 2.000000, 1.000000, 1.192686 ] eq[12,6] = [ 2.000000, 1.000000, 1.149526 ] eq[12,7] = [ 2.000000, 1.000000, 1.273656 ] eq[12,8] = [ 2.000000, 1.000000, 1.284615 ] eq[12,9] = [ 2.000000, 1.000000, 1.281351 ] eq[12,10] = [ 2.000000, 1.000000, 1.262919 ] eq[12,11] = [ 2.000000, 1.000000, 1.229602 ] eq[12,13] = [ 1.027311, 0.436904, 0.422145 ] eq[12,14] = [ 0.633705, 0.209028, 0.043301 ] eq[12,15] = [ 0.206877, -0.070935, -0.410823 ] eq[12,16] = [ -0.229713, -0.359833, -0.887669 ] eq[12,17] = [ -0.661667, -0.612691, -1.308334 ] eq[12,18] = [ -1.075921, -0.833186, -1.692735 ] eq[12,19] = [ -1.406151, -0.953803, -1.907607 ] eq[12,20] = [ -1.643263, -1.000000, -2.000000 ] eq[12,21] = [ -1.810957, -1.000000, -2.000000 ] eq[12,22] = [ -1.920782, -1.000000, -2.000000 ] eq[12,23] = [ -1.981481, -1.000000, -2.000000 ] eq[12,24] = [ -2.000000, -1.000000, -2.000000 ] eq[12,25] = [ -2.000000, -1.000000, -2.000000 ] eq[13,0] = [ 2.000000, 1.000000, 1.460972 ] eq[13,1] = [ 2.000000, 1.000000, 1.404730 ] eq[13,2] = [ 2.000000, 1.000000, 1.351802 ] eq[13,3] = [ 2.000000, 1.000000, 1.298430 ] eq[13,4] = [ 2.000000, 1.000000, 1.237830 ] eq[13,5] = [ 2.000000, 1.000000, 1.162752 ] eq[13,6] = [ 2.000000, 1.000000, 1.064097 ] eq[13,7] = [ 2.000000, 1.000000, 1.043961 ] eq[13,8] = [ 2.000000, 1.000000, 1.025308 ] eq[13,9] = [ 1.965250, 0.982625, 0.982625 ] eq[13,10] = [ 1.831882, 0.915941, 0.915941 ] eq[13,11] = [ 1.655806, 0.827903, 0.827903 ] eq[13,12] = [ 1.410049, 0.705024, 0.705024 ] eq[13,14] = [ 0.224852, -0.060081, -0.412099 ] eq[13,15] = [ -0.201321, -0.340224, -0.872579 ] eq[13,16] = [ -0.615455, -0.586427, -1.276189 ] eq[13,17] = [ -1.002795, -0.792989, -1.621126 ] eq[13,18] = [ -1.350126, -0.967187, -1.934375 ] eq[13,19] = [ -1.601139, -1.000000, -2.000000 ] eq[13,20] = [ -1.779736, -1.000000, -2.000000 ] eq[13,21] = [ -1.898277, -1.000000, -2.000000 ] eq[13,22] = [ -1.968621, -1.000000, -2.000000 ] eq[13,23] = [ -2.000000, -1.000000, -2.000000 ] eq[13,24] = [ -2.000000, -1.000000, -2.000000 ] eq[13,25] = [ -2.000000, -1.000000, -2.000000 ] eq[14,0] = [ 2.000000, 1.000000, 1.388982 ] eq[14,1] = [ 2.000000, 1.000000, 1.407962 ] eq[14,2] = [ 2.000000, 1.000000, 1.334670 ] eq[14,3] = [ 2.000000, 1.000000, 1.263740 ] eq[14,4] = [ 2.000000, 1.000000, 1.188070 ] eq[14,5] = [ 2.000000, 1.000000, 1.100437 ] eq[14,6] = [ 1.983393, 0.991696, 0.991696 ] eq[14,7] = [ 1.662674, 0.831337, 0.831337 ] eq[14,8] = [ 1.486871, 0.743435, 0.743435 ] eq[14,9] = [ 1.323916, 0.661958, 0.661958 ] eq[14,10] = [ 1.178163, 0.552736, 0.552736 ] eq[14,11] = [ 1.060752, 0.445527, 0.420980 ] eq[14,12] = [ 0.912828, 0.345783, 0.244995 ] eq[14,13] = [ 0.690230, 0.232921, 0.046126 ] eq[14,15] = [ -0.582624, -0.570789, -1.251983 ] eq[14,16] = [ -0.947740, -0.765037, -1.571565 ] eq[14,17] = [ -1.263500, -0.916043, -1.832086 ] eq[14,18] = [ -1.528710, -1.000000, -2.000000 ] eq[14,19] = [ -1.719964, -1.000000, -2.000000 ] eq[14,20] = [ -1.850763, -1.000000, -2.000000 ] eq[14,21] = [ -1.933742, -1.000000, -2.000000 ] eq[14,22] = [ -1.980453, -1.000000, -2.000000 ] eq[14,23] = [ -2.000000, -1.000000, -2.000000 ] eq[14,24] = [ -2.000000, -1.000000, -2.000000 ] eq[14,25] = [ -2.000000, -1.000000, -2.000000 ] eq[15,0] = [ 2.000000, 1.000000, 1.328535 ] eq[15,1] = [ 2.000000, 1.000000, 1.317070 ] eq[15,2] = [ 2.000000, 1.000000, 1.316560 ] eq[15,3] = [ 2.000000, 1.000000, 1.217856 ] eq[15,4] = [ 2.000000, 1.000000, 1.116821 ] eq[15,5] = [ 2.000000, 1.000000, 1.006233 ] eq[15,6] = [ 1.753291, 0.876646, 0.876646 ] eq[15,7] = [ 1.405461, 0.702730, 0.702730 ] eq[15,8] = [ 1.137662, 0.484423, 0.478551 ] eq[15,9] = [ 0.993866, 0.401106, 0.334227 ] eq[15,10] = [ 0.844063, 0.311343, 0.193159 ] eq[15,11] = [ 0.685241, 0.218599, 0.033605 ] eq[15,12] = [ 0.504657, 0.075634, -0.198105 ] eq[15,13] = [ 0.267241, -0.035861, -0.397485 ] eq[15,14] = [ 0.000243, -0.229462, -0.704928 ] eq[15,16] = [ -1.215219, -0.896969, -1.797464 ] eq[15,17] = [ -1.472222, -0.985498, -1.970995 ] eq[15,18] = [ -1.674572, -1.000000, -2.000000 ] eq[15,19] = [ -1.814627, -1.000000, -2.000000 ] eq[15,20] = [ -1.905923, -1.000000, -2.000000 ] eq[15,21] = [ -1.960605, -1.000000, -2.000000 ] eq[15,22] = [ -1.989198, -1.000000, -2.000000 ] eq[15,23] = [ -2.000000, -1.000000, -2.000000 ] eq[15,24] = [ -2.000000, -1.000000, -2.000000 ] eq[15,25] = [ -2.000000, -1.000000, -2.000000 ] eq[16,0] = [ 2.000000, 1.000000, 1.271844 ] eq[16,1] = [ 2.000000, 1.000000, 1.232823 ] eq[16,2] = [ 2.000000, 1.000000, 1.194708 ] eq[16,3] = [ 2.000000, 1.000000, 1.162278 ] eq[16,4] = [ 2.000000, 1.000000, 1.026796 ] eq[16,5] = [ 1.770242, 0.885121, 0.885121 ] eq[16,6] = [ 1.453587, 0.726794, 0.726794 ] eq[16,7] = [ 1.213450, 0.533057, 0.533057 ] eq[16,8] = [ 0.980256, 0.392108, 0.295738 ] eq[16,9] = [ 0.685542, 0.216113, 0.001842 ] eq[16,10] = [ 0.512292, 0.109958, -0.150055 ] eq[16,11] = [ 0.331191, -0.001030, -0.320712 ] eq[16,12] = [ 0.139302, -0.174761, -0.605994 ] eq[16,13] = [ -0.091191, -0.262499, -0.769103 ] eq[16,14] = [ -0.332926, -0.410927, -1.006676 ] eq[16,15] = [ -0.569722, -0.557417, -1.260710 ] eq[16,17] = [ -1.635195, -1.000000, -2.000000 ] eq[16,18] = [ -1.784702, -1.000000, -2.000000 ] eq[16,19] = [ -1.883548, -1.000000, -2.000000 ] eq[16,20] = [ -1.944558, -1.000000, -2.000000 ] eq[16,21] = [ -1.978695, -1.000000, -2.000000 ] eq[16,22] = [ -1.994856, -1.000000, -2.000000 ] eq[16,23] = [ -2.000000, -1.000000, -2.000000 ] eq[16,24] = [ -2.000000, -1.000000, -2.000000 ] eq[16,25] = [ -2.000000, -1.000000, -2.000000 ] eq[17,0] = [ 2.000000, 1.000000, 1.211338 ] eq[17,1] = [ 2.000000, 1.000000, 1.146579 ] eq[17,2] = [ 2.000000, 1.000000, 1.074242 ] eq[17,3] = [ 1.993638, 0.996819, 0.996819 ] eq[17,4] = [ 1.840727, 0.920364, 0.920364 ] eq[17,5] = [ 1.484058, 0.742029, 0.742029 ] eq[17,6] = [ 1.262596, 0.563415, 0.550154 ] eq[17,7] = [ 1.038429, 0.427470, 0.334613 ] eq[17,8] = [ 0.777712, 0.270371, 0.085497 ] eq[17,9] = [ 0.475116, 0.087191, -0.207368 ] eq[17,10] = [ 0.123254, -0.123560, -0.549218 ] eq[17,11] = [ 0.012201, -0.206488, -0.638469 ] eq[17,12] = [ -0.169899, -0.395236, -0.967089 ] eq[17,13] = [ -0.373220, -0.440989, -1.067957 ] eq[17,14] = [ -0.580432, -0.543146, -1.236170 ] eq[17,15] = [ -0.786333, -0.643231, -1.422631 ] eq[17,16] = [ -0.973620, -0.677447, -1.493652 ] eq[17,18] = [ -1.861133, -1.000000, -2.000000 ] eq[17,19] = [ -1.929063, -1.000000, -2.000000 ] eq[17,20] = [ -1.968746, -1.000000, -2.000000 ] eq[17,21] = [ -1.989383, -1.000000, -2.000000 ] eq[17,22] = [ -1.997942, -1.000000, -2.000000 ] eq[17,23] = [ -2.000000, -1.000000, -2.000000 ] eq[17,24] = [ -2.000000, -1.000000, -2.000000 ] eq[17,25] = [ -2.000000, -1.000000, -2.000000 ] eq[18,0] = [ 2.000000, 1.000000, 1.139664 ] eq[18,1] = [ 2.000000, 1.000000, 1.050759 ] eq[18,2] = [ 1.894426, 0.947213, 0.947213 ] eq[18,3] = [ 1.660671, 0.830335, 0.830335 ] eq[18,4] = [ 1.481751, 0.704466, 0.704466 ] eq[18,5] = [ 1.328720, 0.609539, 0.578457 ] eq[18,6] = [ 1.081242, 0.453925, 0.351232 ] eq[18,7] = [ 0.828882, 0.299366, 0.115520 ] eq[18,8] = [ 0.557434, 0.134785, -0.140861 ] eq[18,9] = [ 0.258047, -0.046648, -0.426232 ] eq[18,10] = [ -0.073992, -0.242541, -0.738788 ] eq[18,11] = [ -0.445039, -0.497060, -1.108793 ] eq[18,12] = [ -0.409467, -0.571916, -1.262948 ] eq[18,13] = [ -0.580105, -0.572817, -1.295673 ] eq[18,14] = [ -0.757123, -0.633837, -1.398142 ] eq[18,15] = [ -0.932614, -0.670093, -1.476356 ] eq[18,16] = [ -1.092035, -0.677447, -1.493652 ] eq[18,17] = [ -1.216676, -0.688260, -1.515828 ] eq[18,19] = [ -1.958277, -1.000000, -2.000000 ] eq[18,20] = [ -1.983472, -1.000000, -2.000000 ] eq[18,21] = [ -1.995370, -1.000000, -2.000000 ] eq[18,22] = [ -1.999486, -1.000000, -2.000000 ] eq[18,23] = [ -2.000000, -1.000000, -2.000000 ] eq[18,24] = [ -2.000000, -1.000000, -2.000000 ] eq[18,25] = [ -2.000000, -1.000000, -2.000000 ] eq[19,0] = [ 2.000000, 1.000000, 1.049405 ] eq[19,1] = [ 1.876659, 0.938330, 0.938330 ] eq[19,2] = [ 1.616187, 0.806898, 0.806898 ] eq[19,3] = [ 1.450838, 0.683206, 0.656276 ] eq[19,4] = [ 1.258982, 0.569291, 0.490427 ] eq[19,5] = [ 1.056680, 0.445701, 0.316523 ] eq[19,6] = [ 0.858163, 0.317147, 0.131947 ] eq[19,7] = [ 0.593684, 0.154002, -0.119311 ] eq[19,8] = [ 0.323673, -0.009958, -0.376136 ] eq[19,9] = [ 0.041021, -0.179241, -0.643672 ] eq[19,10] = [ -0.257361, -0.365639, -0.928492 ] eq[19,11] = [ -0.575907, -0.596796, -1.270867 ] eq[19,12] = [ -0.916794, -0.905249, -1.810498 ] eq[19,13] = [ -0.722024, -0.666667, -1.457788 ] eq[19,14] = [ -0.869858, -0.666897, -1.464262 ] eq[19,15] = [ -1.018819, -0.670093, -1.476356 ] eq[19,16] = [ -1.156473, -0.677447, -1.493652 ] eq[19,17] = [ -1.266211, -0.688260, -1.515828 ] eq[19,18] = [ -1.351195, -0.707070, -1.542709 ] eq[19,20] = [ -1.991295, -1.000000, -2.000000 ] eq[19,21] = [ -1.998071, -1.000000, -2.000000 ] eq[19,22] = [ -2.000000, -1.000000, -2.000000 ] eq[19,23] = [ -2.000000, -1.000000, -2.000000 ] eq[19,24] = [ -2.000000, -1.000000, -2.000000 ] eq[19,25] = [ -2.000000, -1.000000, -2.000000 ] eq[20,0] = [ 1.866629, 0.933315, 0.933315 ] eq[20,1] = [ 1.610327, 0.802882, 0.802882 ] eq[20,2] = [ 1.436799, 0.674434, 0.647658 ] eq[20,3] = [ 1.233254, 0.553048, 0.469698 ] eq[20,4] = [ 1.003947, 0.415498, 0.273376 ] eq[20,5] = [ 0.765856, 0.267730, 0.064680 ] eq[20,6] = [ 0.534422, 0.113414, -0.163879 ] eq[20,7] = [ 0.324654, -0.016971, -0.367763 ] eq[20,8] = [ 0.070799, -0.169733, -0.614885 ] eq[20,9] = [ -0.181111, -0.329500, -0.862720 ] eq[20,10] = [ -0.436486, -0.499141, -1.136597 ] eq[20,11] = [ -0.700357, -0.704448, -1.449295 ] eq[20,12] = [ -0.976639, -0.954412, -1.908823 ] eq[20,13] = [ -1.246945, -1.000000, -2.000000 ] eq[20,14] = [ -0.910636, -0.666897, -1.464262 ] eq[20,15] = [ -1.039661, -0.670093, -1.476356 ] eq[20,16] = [ -1.163158, -0.677447, -1.493652 ] eq[20,17] = [ -1.265580, -0.688260, -1.515828 ] eq[20,18] = [ -1.350534, -0.707070, -1.542709 ] eq[20,19] = [ -1.426547, -0.728873, -1.573878 ] eq[20,21] = [ -1.998943, -1.000000, -2.000000 ] eq[20,22] = [ -2.000000, -1.000000, -2.000000 ] eq[20,23] = [ -2.000000, -1.000000, -2.000000 ] eq[20,24] = [ -2.000000, -1.000000, -2.000000 ] eq[20,25] = [ -2.000000, -1.000000, -2.000000 ] eq[21,0] = [ 1.602974, 0.789088, 0.789088 ] eq[21,1] = [ 1.434018, 0.672297, 0.642155 ] eq[21,2] = [ 1.236799, 0.552115, 0.468283 ] eq[21,3] = [ 1.012746, 0.415604, 0.270028 ] eq[21,4] = [ 0.766256, 0.265071, 0.052188 ] eq[21,5] = [ 0.513527, 0.105700, -0.179689 ] eq[21,6] = [ 0.269857, -0.060335, -0.435976 ] eq[21,7] = [ 0.043445, -0.201404, -0.663389 ] eq[21,8] = [ -0.159284, -0.327819, -0.860194 ] eq[21,9] = [ -0.382083, -0.477192, -1.102562 ] eq[21,10] = [ -0.598591, -0.629375, -1.355724 ] eq[21,11] = [ -0.813600, -0.796860, -1.605836 ] eq[21,12] = [ -1.032447, -0.983094, -1.966189 ] eq[21,13] = [ -1.240792, -1.000000, -2.000000 ] eq[21,14] = [ -1.454669, -1.000000, -2.000000 ] eq[21,15] = [ -1.020679, -0.670093, -1.476356 ] eq[21,16] = [ -1.138735, -0.677447, -1.493652 ] eq[21,17] = [ -1.241099, -0.688260, -1.515828 ] eq[21,18] = [ -1.331003, -0.707070, -1.542709 ] eq[21,19] = [ -1.415166, -0.728873, -1.573878 ] eq[21,20] = [ -1.481083, -0.754805, -1.608488 ] eq[21,22] = [ -2.000000, -1.000000, -2.000000 ] eq[21,23] = [ -2.000000, -1.000000, -2.000000 ] eq[21,24] = [ -2.000000, -1.000000, -2.000000 ] eq[21,25] = [ -2.000000, -1.000000, -2.000000 ] eq[22,0] = [ 1.421860, 0.664390, 0.621472 ] eq[22,1] = [ 1.230792, 0.547224, 0.455338 ] eq[22,2] = [ 1.018747, 0.416921, 0.267843 ] eq[22,3] = [ 0.783897, 0.272246, 0.056005 ] eq[22,4] = [ 0.531604, 0.115997, -0.175286 ] eq[22,5] = [ 0.278532, -0.046740, -0.419761 ] eq[22,6] = [ 0.033370, -0.216157, -0.688700 ] eq[22,7] = [ -0.197097, -0.359239, -0.922679 ] eq[22,8] = [ -0.404215, -0.501807, -1.146440 ] eq[22,9] = [ -0.578225, -0.625532, -1.350513 ] eq[22,10] = [ -0.752534, -0.744151, -1.548380 ] eq[22,11] = [ -0.919489, -0.871404, -1.742809 ] eq[22,12] = [ -1.086095, -0.997104, -1.994208 ] eq[22,13] = [ -1.241454, -1.000000, -2.000000 ] eq[22,14] = [ -1.403116, -1.000000, -2.000000 ] eq[22,15] = [ -1.570980, -1.000000, -2.000000 ] eq[22,16] = [ -1.086004, -0.677447, -1.493652 ] eq[22,17] = [ -1.194788, -0.688260, -1.515828 ] eq[22,18] = [ -1.294235, -0.707070, -1.542709 ] eq[22,19] = [ -1.389494, -0.728873, -1.573878 ] eq[22,20] = [ -1.467213, -0.754805, -1.608488 ] eq[22,21] = [ -1.521086, -0.779154, -1.643973 ] eq[22,23] = [ -2.000000, -1.000000, -2.000000 ] eq[22,24] = [ -2.000000, -1.000000, -2.000000 ] eq[22,25] = [ -2.000000, -1.000000, -2.000000 ] eq[23,0] = [ 1.217780, 0.538767, 0.434441 ] eq[23,1] = [ 1.008897, 0.409392, 0.249468 ] eq[23,2] = [ 0.785651, 0.270455, 0.047658 ] eq[23,3] = [ 0.549477, 0.122617, -0.171015 ] eq[23,4] = [ 0.302839, -0.032803, -0.407758 ] eq[23,5] = [ 0.056462, -0.193831, -0.655488 ] eq[23,6] = [ -0.183288, -0.359898, -0.923670 ] eq[23,7] = [ -0.406525, -0.505403, -1.156450 ] eq[23,8] = [ -0.604913, -0.653411, -1.399527 ] eq[23,9] = [ -0.771631, -0.756180, -1.569589 ] eq[23,10] = [ -0.899806, -0.843966, -1.716069 ] eq[23,11] = [ -1.019786, -0.927745, -1.855490 ] eq[23,12] = [ -1.138730, -1.000000, -2.000000 ] eq[23,13] = [ -1.248413, -1.000000, -2.000000 ] eq[23,14] = [ -1.367088, -1.000000, -2.000000 ] eq[23,15] = [ -1.494427, -1.000000, -2.000000 ] eq[23,16] = [ -1.630914, -1.000000, -2.000000 ] eq[23,17] = [ -1.128449, -0.688260, -1.515828 ] eq[23,18] = [ -1.241520, -0.707070, -1.542709 ] eq[23,19] = [ -1.350503, -0.728873, -1.573878 ] eq[23,20] = [ -1.441481, -0.754805, -1.608488 ] eq[23,21] = [ -1.508065, -0.779154, -1.643973 ] eq[23,22] = [ -1.558974, -0.803070, -1.680682 ] eq[23,24] = [ -2.000000, -1.000000, -2.000000 ] eq[23,25] = [ -2.000000, -1.000000, -2.000000 ] eq[24,0] = [ 0.993864, 0.399693, 0.231914 ] eq[24,1] = [ 0.772374, 0.260810, 0.030442 ] eq[24,2] = [ 0.544454, 0.116477, -0.184103 ] eq[24,3] = [ 0.313763, -0.030505, -0.408175 ] eq[24,4] = [ 0.081426, -0.179458, -0.640438 ] eq[24,5] = [ -0.153962, -0.334525, -0.883155 ] eq[24,6] = [ -0.380460, -0.496041, -1.139089 ] eq[24,7] = [ -0.587871, -0.640807, -1.379282 ] eq[24,8] = [ -0.769703, -0.775016, -1.603242 ] eq[24,9] = [ -0.921459, -0.857495, -1.739546 ] eq[24,10] = [ -1.039474, -0.929896, -1.859792 ] eq[24,11] = [ -1.118325, -0.970506, -1.941011 ] eq[24,12] = [ -1.193145, -1.000000, -2.000000 ] eq[24,13] = [ -1.262447, -1.000000, -2.000000 ] eq[24,14] = [ -1.344623, -1.000000, -2.000000 ] eq[24,15] = [ -1.438924, -1.000000, -2.000000 ] eq[24,16] = [ -1.544959, -1.000000, -2.000000 ] eq[24,17] = [ -1.663672, -1.000000, -2.000000 ] eq[24,18] = [ -1.173753, -0.707070, -1.542709 ] eq[24,19] = [ -1.298807, -0.728873, -1.573878 ] eq[24,20] = [ -1.404431, -0.754805, -1.608488 ] eq[24,21] = [ -1.484385, -0.779154, -1.643973 ] eq[24,22] = [ -1.547488, -0.803070, -1.680682 ] eq[24,23] = [ -1.596666, -0.827335, -1.718356 ] eq[24,25] = [ -2.000000, -1.000000, -2.000000 ] eq[25,0] = [ 0.764164, 0.255006, 0.018387 ] eq[25,1] = [ 0.537420, 0.110540, -0.196266 ] eq[25,2] = [ 0.310134, -0.035989, -0.420006 ] eq[25,3] = [ 0.084094, -0.181582, -0.646157 ] eq[25,4] = [ -0.136165, -0.325075, -0.872200 ] eq[25,5] = [ -0.349069, -0.471168, -1.097434 ] eq[25,6] = [ -0.556734, -0.626762, -1.352918 ] eq[25,7] = [ -0.743744, -0.757580, -1.574468 ] eq[25,8] = [ -0.905031, -0.870438, -1.763503 ] eq[25,9] = [ -1.038087, -0.935319, -1.870638 ] eq[25,10] = [ -1.141864, -0.979441, -1.958882 ] eq[25,11] = [ -1.214429, -0.998616, -1.997232 ] eq[25,12] = [ -1.253273, -1.000000, -2.000000 ] eq[25,13] = [ -1.285302, -1.000000, -2.000000 ] eq[25,14] = [ -1.335075, -1.000000, -2.000000 ] eq[25,15] = [ -1.401117, -1.000000, -2.000000 ] eq[25,16] = [ -1.482015, -1.000000, -2.000000 ] eq[25,17] = [ -1.577109, -1.000000, -2.000000 ] eq[25,18] = [ -1.685212, -1.000000, -2.000000 ] eq[25,19] = [ -1.234601, -0.728873, -1.573878 ] eq[25,20] = [ -1.356310, -0.754805, -1.608488 ] eq[25,21] = [ -1.450458, -0.779154, -1.643973 ] eq[25,22] = [ -1.526116, -0.803070, -1.680682 ] eq[25,23] = [ -1.586498, -0.827335, -1.718356 ] eq[25,24] = [ -1.633956, -0.851757, -1.756237 ] eq[25,25] = [ -2.000000, -1.000000, -2.000000 ]