// Hypestgammon equities when backgammon value is 2 // // 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] = [ 4.000000, 2.000000, 4.000000 ] eq[0,1] = [ 4.000000, 2.000000, 4.000000 ] eq[0,2] = [ 4.000000, 2.000000, 4.000000 ] eq[0,3] = [ 4.000000, 2.000000, 4.000000 ] eq[0,4] = [ 4.000000, 2.000000, 4.000000 ] eq[0,5] = [ 4.000000, 2.000000, 4.000000 ] eq[0,6] = [ 4.000000, 2.000000, 4.000000 ] 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] = [ 4.000000, 2.000000, 4.000000 ] eq[1,2] = [ 4.000000, 2.000000, 4.000000 ] eq[1,3] = [ 4.000000, 2.000000, 4.000000 ] eq[1,4] = [ 4.000000, 2.000000, 4.000000 ] eq[1,5] = [ 4.000000, 2.000000, 4.000000 ] eq[1,6] = [ 4.000000, 2.000000, 4.000000 ] 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] = [ 3.903730, 1.947640, 3.883938 ] eq[2,1] = [ 3.903730, 1.947640, 3.883938 ] eq[2,3] = [ 3.833333, 1.916667, 3.833333 ] eq[2,4] = [ 3.777778, 1.888889, 3.777778 ] eq[2,5] = [ 3.722222, 1.861111, 3.722222 ] eq[2,6] = [ 3.666667, 1.833333, 3.666667 ] 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] = [ 3.770378, 1.875680, 3.730399 ] eq[3,1] = [ 3.717497, 1.849356, 3.678067 ] eq[3,2] = [ 3.755537, 1.872484, 3.735350 ] eq[3,4] = [ 3.538580, 1.769290, 3.538580 ] eq[3,5] = [ 3.435185, 1.717593, 3.435185 ] eq[3,6] = [ 3.333333, 1.666667, 3.333333 ] 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] = [ 3.599286, 1.783626, 3.538020 ] eq[4,1] = [ 3.498697, 1.733709, 3.439075 ] eq[4,2] = [ 3.487972, 1.732601, 3.448154 ] eq[4,3] = [ 3.472427, 1.729705, 3.451140 ] eq[4,5] = [ 3.138889, 1.569444, 3.138889 ] eq[4,6] = [ 3.000000, 1.500000, 3.000000 ] 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] = [ 3.388999, 1.670532, 3.304625 ] eq[5,1] = [ 3.246779, 1.600235, 3.165704 ] eq[5,2] = [ 3.194722, 1.578777, 3.134546 ] eq[5,3] = [ 3.138276, 1.555612, 3.097199 ] eq[5,4] = [ 3.071863, 1.527982, 3.048755 ] eq[5,6] = [ 2.666667, 1.333333, 2.666345 ] 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] = [ 3.137024, 1.534445, 3.026358 ] eq[6,1] = [ 2.960171, 1.447474, 2.855033 ] eq[6,2] = [ 2.874927, 1.409939, 2.792301 ] eq[6,3] = [ 2.786863, 1.371340, 2.724354 ] eq[6,4] = [ 2.690676, 1.329044, 2.646546 ] eq[6,5] = [ 2.581358, 1.280579, 2.554891 ] 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] = [ 2.839473, 1.372778, 2.697691 ] eq[7,1] = [ 2.635948, 1.273377, 2.502514 ] eq[7,2] = [ 2.526401, 1.224455, 2.417571 ] eq[7,3] = [ 2.416479, 1.175541, 2.329124 ] eq[7,4] = [ 2.301107, 1.124105, 2.232688 ] eq[7,5] = [ 2.175640, 1.067846, 2.124531 ] eq[7,6] = [ 2.035782, 1.005000, 2.002894 ] 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] = [ 2.660502, 1.282647, 2.525123 ] eq[8,1] = [ 2.361454, 1.125931, 2.215383 ] eq[8,2] = [ 2.252126, 1.073969, 2.113358 ] eq[8,3] = [ 2.186191, 1.047957, 2.070405 ] eq[8,4] = [ 2.118010, 1.020851, 2.021536 ] eq[8,5] = [ 2.043220, 1.000000, 1.963090 ] eq[8,6] = [ 2.000000, 1.000000, 1.893446 ] eq[8,7] = [ 2.058093, 1.024176, 2.034138 ] 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] = [ 2.487216, 1.195405, 2.353030 ] eq[9,1] = [ 2.232623, 1.062186, 2.090586 ] eq[9,2] = [ 2.000000, 1.000000, 1.827336 ] eq[9,3] = [ 2.000000, 1.000000, 1.816788 ] eq[9,4] = [ 2.000000, 1.000000, 1.813670 ] eq[9,5] = [ 2.000000, 1.000000, 1.799523 ] eq[9,6] = [ 2.000000, 1.000000, 1.772644 ] eq[9,7] = [ 2.000000, 1.000000, 1.902381 ] eq[9,8] = [ 2.026694, 1.007464, 1.965412 ] 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] = [ 2.331436, 1.122520, 2.187646 ] eq[10,1] = [ 2.118089, 1.011166, 1.966588 ] eq[10,2] = [ 2.000000, 1.000000, 1.755377 ] eq[10,3] = [ 2.000000, 1.000000, 1.546573 ] eq[10,4] = [ 2.000000, 1.000000, 1.607206 ] eq[10,5] = [ 2.000000, 1.000000, 1.630518 ] eq[10,6] = [ 2.000000, 1.000000, 1.635883 ] eq[10,7] = [ 2.000000, 1.000000, 1.752300 ] eq[10,8] = [ 2.000000, 1.000000, 1.793681 ] eq[10,9] = [ 2.006462, 1.001727, 1.846687 ] 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] = [ 2.211670, 1.069256, 2.036101 ] eq[11,1] = [ 2.036673, 1.000000, 1.849066 ] eq[11,2] = [ 2.000000, 1.000000, 1.679156 ] eq[11,3] = [ 2.000000, 1.000000, 1.519021 ] eq[11,4] = [ 2.000000, 1.000000, 1.359629 ] eq[11,5] = [ 2.000000, 1.000000, 1.452783 ] eq[11,6] = [ 2.000000, 1.000000, 1.478813 ] eq[11,7] = [ 2.000000, 1.000000, 1.578615 ] eq[11,8] = [ 2.000000, 1.000000, 1.594470 ] eq[11,9] = [ 2.000000, 1.000000, 1.611436 ] eq[11,10] = [ 2.000000, 1.000000, 1.628820 ] 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] = [ 2.131330, 1.038677, 1.907102 ] eq[12,1] = [ 2.000000, 1.000000, 1.744960 ] eq[12,2] = [ 2.000000, 1.000000, 1.604271 ] eq[12,3] = [ 2.000000, 1.000000, 1.477304 ] eq[12,4] = [ 2.000000, 1.000000, 1.354753 ] eq[12,5] = [ 2.000000, 1.000000, 1.227970 ] eq[12,6] = [ 2.000000, 1.000000, 1.299766 ] eq[12,7] = [ 2.000000, 1.000000, 1.379289 ] eq[12,8] = [ 2.000000, 1.000000, 1.365970 ] eq[12,9] = [ 2.000000, 1.000000, 1.344009 ] eq[12,10] = [ 2.000000, 1.000000, 1.310964 ] eq[12,11] = [ 2.000000, 1.000000, 1.266492 ] 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] = [ 2.095548, 1.033677, 1.811020 ] eq[13,1] = [ 2.000000, 1.000000, 1.662572 ] eq[13,2] = [ 2.000000, 1.000000, 1.537474 ] eq[13,3] = [ 2.000000, 1.000000, 1.427305 ] eq[13,4] = [ 2.000000, 1.000000, 1.322165 ] eq[13,5] = [ 2.000000, 1.000000, 1.212954 ] eq[13,6] = [ 2.000000, 1.000000, 1.091397 ] eq[13,7] = [ 2.000000, 1.000000, 1.155953 ] eq[13,8] = [ 2.000000, 1.000000, 1.110762 ] eq[13,9] = [ 2.000000, 1.000000, 1.047642 ] eq[13,10] = [ 1.930022, 0.965011, 0.965011 ] eq[13,11] = [ 1.729585, 0.864792, 0.864792 ] eq[13,12] = [ 1.465449, 0.732725, 0.732725 ] 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] = [ 2.037455, 1.009502, 1.662257 ] eq[14,1] = [ 2.018268, 1.004638, 1.614300 ] eq[14,2] = [ 2.000000, 1.000000, 1.489480 ] eq[14,3] = [ 2.000000, 1.000000, 1.378825 ] eq[14,4] = [ 2.000000, 1.000000, 1.271755 ] eq[14,5] = [ 2.000000, 1.000000, 1.158716 ] eq[14,6] = [ 2.000000, 1.000000, 1.030759 ] eq[14,7] = [ 1.706996, 0.853498, 0.853498 ] eq[14,8] = [ 1.667707, 0.833853, 0.833853 ] eq[14,9] = [ 1.460263, 0.730132, 0.730132 ] eq[14,10] = [ 1.207201, 0.603600, 0.603600 ] eq[14,11] = [ 1.055294, 0.458639, 0.458639 ] eq[14,12] = [ 0.908212, 0.341166, 0.263462 ] eq[14,13] = [ 0.690230, 0.232921, 0.066522 ] 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] = [ 2.011268, 1.002166, 1.541886 ] eq[15,1] = [ 2.000000, 1.000000, 1.477829 ] eq[15,2] = [ 2.000000, 1.000000, 1.443692 ] eq[15,3] = [ 2.000000, 1.000000, 1.318888 ] eq[15,4] = [ 2.000000, 1.000000, 1.196888 ] eq[15,5] = [ 2.000000, 1.000000, 1.067944 ] eq[15,6] = [ 1.844410, 0.922205, 0.922205 ] eq[15,7] = [ 1.468077, 0.734038, 0.734038 ] eq[15,8] = [ 1.127258, 0.496048, 0.496048 ] eq[15,9] = [ 0.987294, 0.407368, 0.405769 ] eq[15,10] = [ 0.833444, 0.313623, 0.245979 ] eq[15,11] = [ 0.673506, 0.217183, 0.072173 ] eq[15,12] = [ 0.493892, 0.064869, -0.191934 ] eq[15,13] = [ 0.261092, -0.035861, -0.377089 ] eq[15,14] = [ 0.001212, -0.229102, -0.686671 ] 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] = [ 2.000484, 1.000000, 1.439300 ] eq[16,1] = [ 2.000000, 1.000000, 1.359810 ] eq[16,2] = [ 2.000000, 1.000000, 1.295514 ] eq[16,3] = [ 2.000000, 1.000000, 1.248785 ] eq[16,4] = [ 2.000000, 1.000000, 1.100671 ] eq[16,5] = [ 1.892948, 0.946474, 0.946474 ] eq[16,6] = [ 1.549158, 0.774579, 0.774579 ] eq[16,7] = [ 1.214958, 0.568953, 0.568953 ] eq[16,8] = [ 0.970908, 0.398977, 0.320018 ] eq[16,9] = [ 0.663410, 0.220331, 0.014720 ] eq[16,10] = [ 0.492871, 0.111858, -0.095465 ] eq[16,11] = [ 0.310979, -0.010923, -0.286984 ] eq[16,12] = [ 0.120358, -0.193704, -0.616181 ] eq[16,13] = [ -0.105346, -0.262499, -0.748708 ] eq[16,14] = [ -0.339992, -0.410567, -0.988419 ] eq[16,15] = [ -0.567191, -0.556151, -1.244703 ] 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, 1.344402 ] eq[17,1] = [ 2.000000, 1.000000, 1.248897 ] eq[17,2] = [ 2.000000, 1.000000, 1.156439 ] eq[17,3] = [ 2.000000, 1.000000, 1.067094 ] eq[17,4] = [ 1.970469, 0.985235, 0.985235 ] eq[17,5] = [ 1.598537, 0.799269, 0.799269 ] eq[17,6] = [ 1.271891, 0.596000, 0.596000 ] eq[17,7] = [ 1.039530, 0.436886, 0.370837 ] eq[17,8] = [ 0.768021, 0.276782, 0.112080 ] eq[17,9] = [ 0.453506, 0.090917, -0.190380 ] eq[17,10] = [ 0.088629, -0.123014, -0.541740 ] eq[17,11] = [ -0.019374, -0.227743, -0.627465 ] eq[17,12] = [ -0.199678, -0.417075, -0.983067 ] eq[17,13] = [ -0.397818, -0.440989, -1.047562 ] eq[17,14] = [ -0.597745, -0.542787, -1.217913 ] eq[17,15] = [ -0.794119, -0.642253, -1.407701 ] eq[17,16] = [ -0.967556, -0.674415, -1.479838 ] 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, 1.247582 ] eq[18,1] = [ 2.000000, 1.000000, 1.135198 ] eq[18,2] = [ 2.000000, 1.000000, 1.016083 ] eq[18,3] = [ 1.778483, 0.889241, 0.889241 ] eq[18,4] = [ 1.514976, 0.757488, 0.757488 ] eq[18,5] = [ 1.347098, 0.627886, 0.627886 ] eq[18,6] = [ 1.090074, 0.465244, 0.391505 ] eq[18,7] = [ 0.828808, 0.307941, 0.148526 ] eq[18,8] = [ 0.546356, 0.140187, -0.115548 ] eq[18,9] = [ 0.235433, -0.044007, -0.408863 ] eq[18,10] = [ -0.108491, -0.243872, -0.729414 ] eq[18,11] = [ -0.492701, -0.533385, -1.164818 ] eq[18,12] = [ -0.453489, -0.593755, -1.278925 ] eq[18,13] = [ -0.618263, -0.572817, -1.275278 ] eq[18,14] = [ -0.787514, -0.633478, -1.379884 ] eq[18,15] = [ -0.953262, -0.669116, -1.461426 ] eq[18,16] = [ -1.099002, -0.675659, -1.484287 ] eq[18,17] = [ -1.209458, -0.683875, -1.504085 ] 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, 1.139481 ] eq[19,1] = [ 2.000000, 1.000000, 1.009848 ] eq[19,2] = [ 1.731836, 0.865918, 0.865918 ] eq[19,3] = [ 1.478280, 0.706720, 0.706720 ] eq[19,4] = [ 1.282675, 0.589188, 0.534880 ] eq[19,5] = [ 1.072084, 0.461270, 0.354411 ] eq[19,6] = [ 0.865951, 0.327275, 0.163290 ] eq[19,7] = [ 0.591507, 0.161148, -0.092653 ] eq[19,8] = [ 0.309956, -0.006126, -0.355106 ] eq[19,9] = [ 0.015823, -0.182582, -0.628914 ] eq[19,10] = [ -0.293679, -0.372188, -0.930579 ] eq[19,11] = [ -0.623864, -0.636815, -1.334279 ] eq[19,12] = [ -0.979481, -0.927088, -1.854176 ] eq[19,13] = [ -0.777787, -0.666667, -1.437393 ] eq[19,14] = [ -0.917010, -0.666538, -1.446005 ] eq[19,15] = [ -1.055654, -0.669116, -1.461426 ] eq[19,16] = [ -1.179434, -0.675659, -1.484287 ] eq[19,17] = [ -1.275187, -0.687904, -1.513767 ] eq[19,18] = [ -1.343311, -0.701671, -1.532850 ] 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] = [ -4.000000, -2.000000, -4.000000 ] eq[20,0] = [ 2.000000, 1.000000, 1.011181 ] eq[20,1] = [ 1.729991, 0.864995, 0.864995 ] eq[20,2] = [ 1.466587, 0.699002, 0.699002 ] eq[20,3] = [ 1.259891, 0.574346, 0.513249 ] eq[20,4] = [ 1.022443, 0.434293, 0.310623 ] eq[20,5] = [ 0.772253, 0.279628, 0.092917 ] eq[20,6] = [ 0.529707, 0.118215, -0.144282 ] eq[20,7] = [ 0.313102, -0.015351, -0.349913 ] eq[20,8] = [ 0.046778, -0.174971, -0.600367 ] eq[20,9] = [ -0.215970, -0.343963, -0.867047 ] eq[20,10] = [ -0.479369, -0.515078, -1.155665 ] eq[20,11] = [ -0.751747, -0.746620, -1.516243 ] eq[20,12] = [ -1.039260, -0.971634, -1.943268 ] eq[20,13] = [ -1.327748, -1.000000, -2.000000 ] eq[20,14] = [ -0.981518, -0.666538, -1.446005 ] eq[20,15] = [ -1.099203, -0.669116, -1.461426 ] eq[20,16] = [ -1.208189, -0.675659, -1.484287 ] eq[20,17] = [ -1.296376, -0.687904, -1.513767 ] eq[20,18] = [ -1.364689, -0.702504, -1.538814 ] eq[20,19] = [ -1.417844, -0.723601, -1.565693 ] eq[20,21] = [ -2.165609, -1.083333, -2.166667 ] eq[20,22] = [ -2.222222, -1.111111, -2.222222 ] eq[20,23] = [ -2.277778, -1.138889, -2.277778 ] eq[20,24] = [ -2.333333, -1.166667, -2.333333 ] eq[20,25] = [ -4.000000, -2.000000, -4.000000 ] eq[21,0] = [ 1.710844, 0.855422, 0.855422 ] eq[21,1] = [ 1.466548, 0.696622, 0.696622 ] eq[21,2] = [ 1.260183, 0.571641, 0.512747 ] eq[21,3] = [ 1.027484, 0.432134, 0.306672 ] eq[21,4] = [ 0.770341, 0.276721, 0.081875 ] eq[21,5] = [ 0.504060, 0.108587, -0.161083 ] eq[21,6] = [ 0.248258, -0.064799, -0.426940 ] eq[21,7] = [ 0.014318, -0.208897, -0.656546 ] eq[21,8] = [ -0.191011, -0.346140, -0.870019 ] eq[21,9] = [ -0.421547, -0.503529, -1.130709 ] eq[21,10] = [ -0.645331, -0.645547, -1.376747 ] eq[21,11] = [ -0.868426, -0.836847, -1.673694 ] eq[21,12] = [ -1.097287, -0.994168, -1.988337 ] eq[21,13] = [ -1.321328, -1.000000, -2.000000 ] eq[21,14] = [ -1.557490, -1.000000, -2.000000 ] eq[21,15] = [ -1.114167, -0.669116, -1.461426 ] eq[21,16] = [ -1.222633, -0.675659, -1.484287 ] eq[21,17] = [ -1.317623, -0.687904, -1.520971 ] eq[21,18] = [ -1.399752, -0.713812, -1.568087 ] eq[21,19] = [ -1.516854, -0.770364, -1.662586 ] eq[21,20] = [ -1.586743, -0.806376, -1.712875 ] eq[21,22] = [ -2.461420, -1.230710, -2.461420 ] eq[21,23] = [ -2.564815, -1.282407, -2.564815 ] eq[21,24] = [ -2.666667, -1.333333, -2.666667 ] eq[21,25] = [ -4.000000, -2.000000, -4.000000 ] eq[22,0] = [ 1.458395, 0.688421, 0.677156 ] eq[22,1] = [ 1.258553, 0.568673, 0.501430 ] eq[22,2] = [ 1.036119, 0.434011, 0.305467 ] eq[22,3] = [ 0.791300, 0.284975, 0.084830 ] eq[22,4] = [ 0.527237, 0.123010, -0.154070 ] eq[22,5] = [ 0.259678, -0.049642, -0.411385 ] eq[22,6] = [ 0.004015, -0.225029, -0.689666 ] eq[22,7] = [ -0.233499, -0.375790, -0.927124 ] eq[22,8] = [ -0.445507, -0.530848, -1.183659 ] eq[22,9] = [ -0.620903, -0.651552, -1.381897 ] eq[22,10] = [ -0.803816, -0.759943, -1.571173 ] eq[22,11] = [ -0.979785, -0.902914, -1.805828 ] eq[22,12] = [ -1.156812, -1.000000, -2.000000 ] eq[22,13] = [ -1.328626, -1.000000, -2.000000 ] eq[22,14] = [ -1.512624, -1.000000, -2.000000 ] eq[22,15] = [ -1.711046, -1.000288, -2.001077 ] eq[22,16] = [ -1.224435, -0.675659, -1.484287 ] eq[22,17] = [ -1.339409, -0.691379, -1.540639 ] eq[22,18] = [ -1.447690, -0.734496, -1.618271 ] eq[22,19] = [ -1.628619, -0.825205, -1.777698 ] eq[22,20] = [ -1.762930, -0.894373, -1.891519 ] eq[22,21] = [ -1.876354, -0.955438, -1.995096 ] eq[22,23] = [ -2.861111, -1.430556, -2.861111 ] eq[22,24] = [ -3.000000, -1.500000, -3.000000 ] eq[22,25] = [ -4.000000, -2.000000, -4.000000 ] eq[23,0] = [ 1.248250, 0.561059, 0.480233 ] eq[23,1] = [ 1.028769, 0.427049, 0.286793 ] eq[23,2] = [ 0.793765, 0.282280, 0.076563 ] eq[23,3] = [ 0.546846, 0.128887, -0.150538 ] eq[23,4] = [ 0.287674, -0.032934, -0.395575 ] eq[23,5] = [ 0.029629, -0.202693, -0.657362 ] eq[23,6] = [ -0.218591, -0.373246, -0.933409 ] eq[23,7] = [ -0.449850, -0.531331, -1.184299 ] eq[23,8] = [ -0.655086, -0.682362, -1.441408 ] eq[23,9] = [ -0.826580, -0.781497, -1.604662 ] eq[23,10] = [ -0.956002, -0.858715, -1.739957 ] eq[23,11] = [ -1.087901, -0.947892, -1.895784 ] eq[23,12] = [ -1.220090, -1.000000, -2.000000 ] eq[23,13] = [ -1.350842, -1.000000, -2.000000 ] eq[23,14] = [ -1.497222, -1.000000, -2.000000 ] eq[23,15] = [ -1.661027, -1.000000, -2.000000 ] eq[23,16] = [ -1.845070, -1.001244, -2.004449 ] eq[23,17] = [ -1.362633, -0.699372, -1.571671 ] eq[23,18] = [ -1.508053, -0.763753, -1.687685 ] eq[23,19] = [ -1.751620, -0.887095, -1.908842 ] eq[23,20] = [ -1.946531, -0.986974, -2.081231 ] eq[23,21] = [ -2.118353, -1.077055, -2.240500 ] eq[23,22] = [ -2.276825, -1.160703, -2.394611 ] eq[23,24] = [ -3.333333, -1.666667, -3.333333 ] eq[23,25] = [ -4.000000, -2.000000, -4.000000 ] eq[24,0] = [ 1.015672, 0.417971, 0.268387 ] eq[24,1] = [ 0.781798, 0.272982, 0.058474 ] eq[24,2] = [ 0.540770, 0.121506, -0.164912 ] eq[24,3] = [ 0.298658, -0.031922, -0.397475 ] eq[24,4] = [ 0.057213, -0.185898, -0.637441 ] eq[24,5] = [ -0.186932, -0.348355, -0.893997 ] eq[24,6] = [ -0.422094, -0.518587, -1.170389 ] eq[24,7] = [ -0.638455, -0.674634, -1.426573 ] eq[24,8] = [ -0.829146, -0.802898, -1.646738 ] eq[24,9] = [ -0.989163, -0.881668, -1.776177 ] eq[24,10] = [ -1.113943, -0.942707, -1.885414 ] eq[24,11] = [ -1.197172, -0.975583, -1.951166 ] eq[24,12] = [ -1.291208, -1.000000, -2.000000 ] eq[24,13] = [ -1.390559, -1.000000, -2.000000 ] eq[24,14] = [ -1.511336, -1.000000, -2.000000 ] eq[24,15] = [ -1.654643, -1.000000, -2.000000 ] eq[24,16] = [ -1.822057, -1.000000, -2.000000 ] eq[24,17] = [ -2.015995, -1.027826, -2.109607 ] eq[24,18] = [ -1.580839, -0.801162, -1.775418 ] eq[24,19] = [ -1.884890, -0.955418, -2.054663 ] eq[24,20] = [ -2.135974, -1.083437, -2.280352 ] eq[24,21] = [ -2.359770, -1.199156, -2.488495 ] eq[24,22] = [ -2.566050, -1.306117, -2.687200 ] eq[24,23] = [ -2.764775, -1.410296, -2.882598 ] eq[24,25] = [ -4.000000, -2.000000, -4.000000 ] eq[25,0] = [ 0.775083, 0.267134, 0.045522 ] eq[25,1] = [ 0.534290, 0.115046, -0.178235 ] eq[25,2] = [ 0.295588, -0.038224, -0.411349 ] eq[25,3] = [ 0.060566, -0.189333, -0.646150 ] eq[25,4] = [ -0.168315, -0.336818, -0.879479 ] eq[25,5] = [ -0.389417, -0.495080, -1.130145 ] eq[25,6] = [ -0.605845, -0.658395, -1.405138 ] eq[25,7] = [ -0.802900, -0.789977, -1.621772 ] eq[25,8] = [ -0.975489, -0.896750, -1.806816 ] eq[25,9] = [ -1.120972, -0.953509, -1.907018 ] eq[25,10] = [ -1.237908, -0.987034, -1.974068 ] eq[25,11] = [ -1.323972, -1.000773, -2.003045 ] eq[25,12] = [ -1.375645, -1.000000, -2.000000 ] eq[25,13] = [ -1.451504, -1.000000, -2.000000 ] eq[25,14] = [ -1.556411, -1.000000, -2.006112 ] eq[25,15] = [ -1.690357, -1.001861, -2.019682 ] eq[25,16] = [ -1.853425, -1.010364, -2.038770 ] eq[25,17] = [ -2.046203, -1.044785, -2.160167 ] eq[25,18] = [ -2.268220, -1.145054, -2.348559 ] eq[25,19] = [ -2.027998, -1.029997, -2.214692 ] eq[25,20] = [ -2.330401, -1.183476, -2.488148 ] eq[25,21] = [ -2.599630, -1.321440, -2.738278 ] eq[25,22] = [ -2.845728, -1.447676, -2.973450 ] eq[25,23] = [ -3.078765, -1.568236, -3.199886 ] eq[25,24] = [ -3.303627, -1.685841, -3.422382 ] eq[25,25] = [ -4.000000, -2.000000, -4.000000 ]