= R"(
P = {(1.397, -1.194, 3.142),(1.397, -1.194, -3.141),(1.397, -1.194, -3.141),(1.396, -1.194, -3.141),(1.395, -1.194, -3.140),(1.395, -1.194, -3.139),(1.394, -1.194, -3.138),(1.393, -1.194, -3.137),(1.392, -1.194, -3.135),(1.390, -1.194, -3.133),(1.389, -1.194, -3.132),(1.387, -1.194, -3.130),(1.385, -1.194, -3.127),(1.383, -1.194, -3.125),(1.381, -1.194, -3.122),(1.379, -1.194, -3.119),(1.377, -1.194, -3.116),(1.374, -1.194, -3.113),(1.371, -1.194, -3.109),(1.369, -1.195, -3.105),(1.366, -1.195, -3.101),(1.362, -1.195, -3.097),(1.359, -1.195, -3.092),(1.356, -1.195, -3.087),(1.352, -1.195, -3.082),(1.348, -1.196, -3.077),(1.344, -1.196, -3.071),(1.340, -1.196, -3.064),(1.336, -1.196, -3.058),(1.332, -1.197, -3.051),(1.327, -1.197, -3.043),(1.323, -1.198, -3.036),(1.318, -1.198, -3.027),(1.313, -1.199, -3.019),(1.308, -1.199, -3.010),(1.303, -1.200, -3.000),(1.297, -1.201, -2.990),(1.292, -1.202, -2.979),(1.286, -1.203, -2.967),(1.281, -1.204, -2.956),(1.275, -1.205, -2.943),(1.269, -1.206, -2.930),(1.263, -1.208, -2.916),(1.256, -1.209, -2.901),(1.250, -1.211, -2.886),(1.243, -1.212, -2.870),(1.237, -1.214, -2.853),(1.230, -1.216, -2.835),(1.223, -1.219, -2.817),(1.216, -1.221, -2.798),(1.209, -1.224, -2.778),(1.202, -1.227, -2.757),(1.195, -1.230, -2.736),(1.188, -1.233, -2.714),(1.180, -1.236, -2.692),(1.173, -1.240, -2.669),(1.165, -1.244, -2.646),(1.158, -1.248, -2.623),(1.150, -1.252, -2.600),(1.143, -1.257, -2.578),(1.135, -1.262, -2.555),(1.128, -1.267, -2.534),(1.120, -1.272, -2.513),(1.113, -1.278, -2.494),(1.105, -1.284, -2.476),(1.097, -1.290, -2.459),(1.090, -1.296, -2.444),(1.082, -1.303, -2.431),(1.074, -1.309, -2.420),(1.067, -1.316, -2.412),(1.059, -1.323, -2.406),(1.051, -1.331, -2.402),(1.043, -1.338, -2.401),(1.035, -1.345, -2.402),(1.027, -1.353, -2.406),(1.018, -1.360, -2.412),(1.010, -1.368, -2.421),(1.001, -1.375, -2.433),(0.992, -1.383, -2.447),(0.983, -1.390, -2.462),(0.974, -1.397, -2.479),(0.965, -1.404, -2.497),(0.957, -1.411, -2.516),(0.948, -1.417, -2.536),(0.939, -1.423, -2.556),(0.930, -1.429, -2.577),(0.921, -1.434, -2.597),(0.912, -1.440, -2.618),(0.903, -1.445, -2.639),(0.893, -1.450, -2.660),(0.884, -1.454, -2.681),(0.875, -1.459, -2.701),(0.865, -1.463, -2.722),(0.855, -1.468, -2.742),(0.846, -1.472, -2.761),(0.836, -1.476, -2.781),(0.825, -1.479, -2.800),(0.815, -1.483, -2.818),(0.805, -1.486, -2.836),(0.794, -1.489, -2.854),(0.784, -1.492, -2.871),(0.773, -1.495, -2.887),(0.762, -1.498, -2.903),(0.751, -1.501, -2.919),(0.740, -1.503, -2.934),(0.729, -1.505, -2.948),(0.718, -1.507, -2.962),(0.707, -1.509, -2.976),(0.695, -1.511, -2.989),(0.684, -1.513, -3.001),(0.672, -1.514, -3.013),(0.661, -1.516, -3.025),(0.649, -1.517, -3.036),(0.637, -1.518, -3.047),(0.625, -1.519, -3.058),(0.613, -1.520, -3.068),(0.601, -1.521, -3.078),(0.589, -1.522, -3.087),(0.577, -1.522, -3.096),(0.565, -1.523, -3.105),(0.552, -1.523, -3.113),(0.540, -1.524, -3.122),(0.528, -1.524, -3.130),(0.515, -1.524, -3.137),(0.508, -1.524, 3.142),(0.508, -1.524, 3.142),(0.495, -1.524, 3.142),(0.483, -1.524, 3.142),(0.470, -1.524, 3.142),(0.457, -1.524, 3.142),(0.444, -1.524, 3.142),(0.430, -1.524, 3.142),(0.417, -1.524, 3.142),(0.403, -1.524, 3.142),(0.390, -1.524, 3.142),(0.376, -1.524, 3.142),(0.363, -1.524, 3.142),(0.349, -1.524, 3.142),(0.336, -1.524, 3.142),(0.322, -1.524, 3.142),(0.309, -1.524, 3.142),(0.295, -1.524, 3.142),(0.282, -1.524, 3.142),(0.268, -1.524, 3.142),(0.255, -1.524, 3.142),(0.241, -1.524, 3.142),(0.228, -1.524, 3.142),(0.214, -1.524, 3.142),(0.201, -1.524, 3.142),(0.187, -1.524, 3.142),(0.174, -1.524, 3.142),(0.160, -1.524, 3.142),(0.147, -1.524, 3.142),(0.133, -1.524, 3.142),(0.120, -1.524, 3.142),(0.106, -1.524, 3.142),(0.093, -1.524, 3.142),(0.079, -1.524, 3.142),(0.066, -1.524, 3.142),(0.052, -1.524, 3.142),(0.039, -1.524, 3.142),(0.025, -1.524, 3.142),(0.012, -1.524, 3.142),(-0.002, -1.524, 3.142),(-0.015, -1.524, 3.142),(-0.029, -1.524, 3.142),(-0.042, -1.524, 3.142),(-0.056, -1.524, 3.142),(-0.069, -1.524, 3.142),(-0.083, -1.524, 3.142),(-0.096, -1.524, 3.142),(-0.110, -1.524, 3.142),(-0.123, -1.524, 3.142),(-0.137, -1.524, 3.142),(-0.150, -1.524, 3.142),(-0.164, -1.524, 3.142),(-0.177, -1.524, 3.142),(-0.191, -1.524, 3.142),(-0.204, -1.524, 3.142),(-0.218, -1.524, 3.142),(-0.231, -1.524, 3.142),(-0.245, -1.524, 3.142),(-0.258, -1.524, 3.142),(-0.272, -1.524, 3.142),(-0.285, -1.524, 3.142),(-0.299, -1.524, 3.142),(-0.312, -1.524, 3.142),(-0.326, -1.524, 3.142),(-0.339, -1.524, 3.142),(-0.353, -1.524, 3.142),(-0.366, -1.524, 3.142),(-0.380, -1.524, 3.142),(-0.393, -1.524, 3.142),(-0.407, -1.524, 3.142),(-0.420, -1.524, 3.142),(-0.434, -1.524, 3.142),(-0.447, -1.524, 3.142),(-0.461, -1.524, 3.142),(-0.474, -1.524, 3.142),(-0.488, -1.524, 3.142),(-0.501, -1.524, 3.142),(-0.515, -1.524, 3.142),(-0.528, -1.524, 3.142),(-0.542, -1.524, 3.142),(-0.555, -1.524, 3.142),(-0.569, -1.524, 3.142),(-0.582, -1.524, 3.142),(-0.596, -1.524, 3.142),(-0.609, -1.524, 3.142),(-0.623, -1.524, 3.142),(-0.636, -1.524, 3.142),(-0.650, -1.524, 3.142),(-0.663, -1.524, 3.142),(-0.677, -1.524, 3.142),(-0.690, -1.524, 3.142),(-0.704, -1.524, 3.142),(-0.711, -1.524, 3.142),(-0.711, -1.524, 3.142),(-0.724, -1.524, 3.134),(-0.738, -1.524, 3.127),(-0.751, -1.524, 3.119),(-0.763, -1.523, 3.112),(-0.776, -1.523, 3.104),(-0.789, -1.522, 3.097),(-0.801, -1.522, 3.089),(-0.814, -1.521, 3.082),(-0.826, -1.520, 3.074),(-0.838, -1.519, 3.066),(-0.851, -1.518, 3.058),(-0.863, -1.517, 3.049),(-0.875, -1.516, 3.041),(-0.887, -1.515, 3.032),(-0.900, -1.513, 3.024),(-0.912, -1.512, 3.015),(-0.924, -1.510, 3.006),(-0.936, -1.509, 2.996),(-0.948, -1.507, 2.987),(-0.960, -1.505, 2.977),(-0.972, -1.503, 2.967),(-0.983, -1.501, 2.957),(-0.995, -1.498, 2.946),(-1.007, -1.496, 2.935),(-1.019, -1.494, 2.924),(-1.030, -1.491, 2.913),(-1.042, -1.488, 2.901),(-1.053, -1.485, 2.889),(-1.064, -1.482, 2.876),(-1.076, -1.479, 2.863),(-1.087, -1.476, 2.850),(-1.098, -1.472, 2.836),(-1.109, -1.469, 2.822),(-1.120, -1.465, 2.807),(-1.130, -1.461, 2.791),(-1.141, -1.458, 2.775),(-1.151, -1.453, 2.758),(-1.161, -1.449, 2.740),(-1.171, -1.445, 2.722),(-1.181, -1.440, 2.702),(-1.191, -1.436, 2.682),(-1.200, -1.431, 2.660),(-1.209, -1.426, 2.637),(-1.218, -1.421, 2.613),(-1.226, -1.416, 2.587),(-1.235, -1.411, 2.559),(-1.243, -1.405, 2.530),(-1.251, -1.400, 2.498),(-1.258, -1.394, 2.463),(-1.265, -1.388, 2.425),(-1.272, -1.382, 2.384),(-1.278, -1.375, 2.338),(-1.284, -1.369, 2.287),(-1.290, -1.362, 2.231),(-1.295, -1.355, 2.168),(-1.299, -1.348, 2.097),(-1.303, -1.341, 2.018),(-1.306, -1.333, 1.929),(-1.309, -1.326, 1.830),(-1.310, -1.318, 1.722),(-1.311, -1.311, 1.606),(-1.311, -1.303, 1.486),(-1.310, -1.296, 1.366),(-1.308, -1.289, 1.250),(-1.305, -1.283, 1.141),(-1.302, -1.276, 1.042),(-1.298, -1.271, 0.953),(-1.294, -1.266, 0.874),(-1.290, -1.261, 0.805),(-1.286, -1.256, 0.744),(-1.281, -1.252, 0.690),(-1.276, -1.249, 0.642),(-1.271, -1.245, 0.597),(-1.266, -1.241, 0.555),(-1.260, -1.238, 0.517),(-1.254, -1.235, 0.481),(-1.248, -1.232, 0.447),(-1.242, -1.229, 0.416),(-1.235, -1.226, 0.387),(-1.228, -1.223, 0.360),(-1.221, -1.221, 0.334),(-1.214, -1.218, 0.310),(-1.206, -1.216, 0.288),(-1.199, -1.214, 0.267),(-1.191, -1.212, 0.246),(-1.183, -1.210, 0.227),(-1.175, -1.208, 0.209),(-1.166, -1.206, 0.192),(-1.158, -1.205, 0.176),(-1.149, -1.203, 0.160),(-1.140, -1.202, 0.145),(-1.131, -1.201, 0.131),(-1.122, -1.200, 0.117),(-1.113, -1.199, 0.104),(-1.103, -1.198, 0.091),(-1.093, -1.197, 0.079),(-1.084, -1.196, 0.067),(-1.074, -1.196, 0.056),(-1.063, -1.195, 0.045),(-1.053, -1.195, 0.034),(-1.043, -1.194, 0.024),(-1.033, -1.194, 0.015),(-1.023, -1.194, 0.006),(-1.016, -1.194, 0.000),(-1.016, -1.194, 0.000),(-1.006, -1.194, 0.000),(-0.997, -1.194, 0.000),(-0.987, -1.194, 0.000),(-0.978, -1.194, 0.000),(-0.969, -1.194, 0.000),(-0.960, -1.194, 0.000),(-0.951, -1.194, 0.000),(-0.942, -1.194, 0.000),(-0.933, -1.194, 0.000),(-0.925, -1.194, 0.000),(-0.917, -1.194, 0.000),(-0.909, -1.194, 0.000),(-0.901, -1.194, 0.000),(-0.893, -1.194, 0.000),(-0.885, -1.194, 0.000),(-0.877, -1.194, 0.000),(-0.870, -1.194, 0.000),(-0.863, -1.194, 0.000),(-0.856, -1.194, 0.000),(-0.849, -1.194, 0.000),(-0.842, -1.194, 0.000),(-0.835, -1.194, 0.000),(-0.829, -1.194, 0.000),(-0.823, -1.194, 0.000),(-0.816, -1.194, 0.000),(-0.810, -1.194, 0.000),(-0.805, -1.194, 0.000),(-0.799, -1.194, 0.000),(-0.793, -1.194, 0.000),(-0.788, -1.194, 0.000),(-0.782, -1.194, 0.000),(-0.777, -1.194, 0.000),(-0.772, -1.194, 0.000),(-0.768, -1.194, 0.000),(-0.763, -1.194, 0.000),(-0.758, -1.194, 0.000),(-0.754, -1.194, 0.000),(-0.750, -1.194, 0.000),(-0.746, -1.194, 0.000),(-0.742, -1.194, 0.000),(-0.738, -1.194, 0.000),(-0.734, -1.194, 0.000),(-0.731, -1.194, 0.000),(-0.727, -1.194, 0.000),(-0.724, -1.194, 0.000),(-0.721, -1.194, 0.000),(-0.718, -1.194, 0.000),(-0.716, -1.194, 0.000),(-0.713, -1.194, 0.000),(-0.711, -1.194, 0.000),(-0.708, -1.194, 0.000),(-0.706, -1.194, 0.000),(-0.704, -1.194, 0.000),(-0.702, -1.194, 0.000),(-0.701, -1.194, 0.000),(-0.699, -1.194, 0.000),(-0.698, -1.194, 0.000),(-0.697, -1.194, 0.000)};
V = {(0.000, 0.000),(0.015, 0.018),(0.030, 0.036),(0.045, 0.054),(0.060, 0.072),(0.075, 0.090),(0.090, 0.108),(0.105, 0.127),(0.120, 0.146),(0.135, 0.165),(0.150, 0.185),(0.165, 0.205),(0.180, 0.225),(0.195, 0.246),(0.210, 0.268),(0.225, 0.290),(0.240, 0.313),(0.255, 0.337),(0.270, 0.362),(0.285, 0.387),(0.300, 0.413),(0.315, 0.441),(0.330, 0.469),(0.345, 0.499),(0.360, 0.529),(0.375, 0.562),(0.390, 0.595),(0.405, 0.631),(0.420, 0.667),(0.435, 0.706),(0.450, 0.747),(0.465, 0.789),(0.480, 0.834),(0.495, 0.880),(0.510, 0.929),(0.525, 0.981),(0.540, 1.034),(0.555, 1.091),(0.570, 1.150),(0.585, 1.211),(0.600, 1.275),(0.615, 1.342),(0.630, 1.411),(0.645, 1.483),(0.660, 1.556),(0.675, 1.631),(0.690, 1.706),(0.705, 1.782),(0.720, 1.858),(0.735, 1.932),(0.750, 2.003),(0.765, 2.070),(0.780, 2.131),(0.795, 2.184),(0.810, 2.228),(0.825, 2.260),(0.840, 2.278),(0.855, 2.280),(0.870, 2.265),(0.885, 2.229),(0.900, 2.173),(0.915, 2.096),(0.930, 1.996),(0.945, 1.873),(0.960, 1.730),(0.975, 1.565),(0.990, 1.381),(1.005, 1.180),(1.020, 0.964),(1.035, 0.735),(1.050, 0.495),(1.065, 0.247),(1.080, -0.006),(1.095, -0.262),(1.110, -0.517),(1.125, -0.769),(1.140, -1.015),(1.155, -1.253),(1.167, -1.474),(1.152, -1.636),(1.137, -1.770),(1.122, -1.877),(1.107, -1.959),(1.092, -2.017),(1.077, -2.053),(1.062, -2.071),(1.053, -2.084),(1.050, -2.093),(1.048, -2.093),(1.048, -2.084),(1.049, -2.068),(1.051, -2.045),(1.054, -2.017),(1.058, -1.983),(1.062, -1.946),(1.067, -1.905),(1.073, -1.862),(1.080, -1.816),(1.086, -1.768),(1.093, -1.719),(1.100, -1.669),(1.107, -1.619),(1.115, -1.569),(1.122, -1.519),(1.129, -1.469),(1.136, -1.420),(1.144, -1.372),(1.151, -1.325),(1.157, -1.279),(1.164, -1.234),(1.171, -1.190),(1.177, -1.148),(1.183, -1.107),(1.189, -1.068),(1.195, -1.030),(1.201, -0.993),(1.206, -0.958),(1.211, -0.924),(1.216, -0.892),(1.221, -0.861),(1.225, -0.831),(1.230, -0.802),(1.234, -0.775),(1.238, -0.748),(1.242, -0.734),(1.242, 0.000),(1.257, 0.000),(1.272, 0.000),(1.287, 0.000),(1.302, 0.000),(1.317, 0.000),(1.332, 0.000),(1.347, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 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