# Stored data for newform 300.4.a.g, downloaded from the LMFDB on 08 December 2024.
{"Nk2": 4800, "analytic_conductor": 17.700573001722184, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, -1]], "atkin_lehner_string": "---", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [300, 1, [151, 101, 277], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[7, [7, 1]]], "hecke_orbit": 7, "hecke_orbit_code": 27021597831332140, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "300.4.a.g", "level": 300, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 5], "level_radical": 30, "minimal_twist": "300.4.a.c", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+3q^{3}-7q^{7}+9q^{9}-54q^{11}-55q^{13}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "300.4.a", "trace_display": [0, 3, 0, -7], "trace_hash": 1412231282534868904, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.964", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.888", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.675", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "traces": [0, 1, 0, 3, 0, 0, 0, -7, 0, 9, 0, -54, 0, -55, 0, 0, 0, 18, 0, -25, 0, -21, 0, -18, 0, 0, 0, 27, 0, -54, 0, -271, 0, -162, 0, 0, 0, 314, 0, -165, 0, -360, 0, -163, 0, 0, 0, 522, 0, -294, 0, 54, 0, -36, 0, 0, 0, -75, 0, 126, 0, 47, 0, -63, 0, 0, 0, -343, 0, -54, 0, -1080, 0, -1054, 0, 0, 0, 378, 0, -568, 0, 81, 0, 1422, 0, 0, 0, -162, 0, 1440, 0, 385, 0, -813, 0, 0, 0, -439, 0, -486, 0, 828, 0, 548, 0, 0, 0, -1476, 0, 1277, 0, 942, 0, 1836, 0, 0, 0, -495, 0, -126, 0, 1585, 0, -1080, 0, 0, 0, -592, 0, -489, 0, -468, 0, 175, 0, 0, 0, 2574, 0, -1756, 0, 1566, 0, 2970, 0, 0, 0, -882, 0, 2682, 0, 3395, 0, 162, 0, 0, 0, -1549, 0, -108, 0, 126, 0, -505, 0, 0, 0, -1476, 0, 828, 0, -225, 0, 2358, 0, 0, 0, 378, 0, 1566, 0, 305, 0, 141, 0, 0, 0, -972, 0, -189, 0, -1746, 0, -3877, 0, 0, 0, 2142, 0, -4033, 0, -1029, 0, 378, 0, 0, 0, -162, 0, 1350, 0, -4105, 0, -3240, 0, 0, 0, 1897, 0, -3162, 0, -990, 0, 1385, 0, 0, 0, -2520, 0, 5129, 0, 1134, 0, -3240, 0, 0, 0, -1704, 0, -2988, 0, -2647, 0, 243, 0, 0, 0, 1375, 0, 4266, 0, -4212, 0, 972, 0, 0, 0, 5724, 0, -2198, 0, -486, 0, -4608, 0, 0, 0, 4320, 0, -6426, 0, -3376, 0, 1155, 0, 0, 0, 5381, 0, -2439, 0, -3474, 0, -2269, 0, 0, 0, 2520, 0, -4589, 0, -1317, 0, -1674, 0, 0, 0, -1458, 0, 990, 0, 1141, 0, 2484, 0, 0, 0, 539, 0, 1644, 0, 1494, 0, -3997, 0, 0, 0, -3672, 0, 2916, 0, -4428, 0, -450, 0, 0, 0, 3831, 0, -3654, 0, 1052, 0, 2826, 0, 0, 0, -3871, 0, 5508, 0, 14634, 0, 4459, 0, 0, 0, -7686, 0, -46, 0, -1485, 0, -6714, 0, 0, 0, -378, 0, 1296, 0, -6234, 0, 4755, 0, 0, 0, 5903, 0, -3240, 0, 252, 0, 8867, 0, 0, 0, 2970, 0, 8837, 0, -1776, 0, -10044, 0, 0, 0, -1467, 0, -2736, 0, -324, 0, -1404, 0, 0, 0, -12241, 0, 525, 0, 9036, 0, 14905, 0, 0, 0, -16956, 0, 8549, 0, 7722, 0, -882, 0, 0, 0, -5268, 0, 1548, 0, 6110, 0, 4698, 0, 0, 0, -329, 0, 8910, 0, 5958, 0, 7163, 0, 0, 0, 450, 0, 17, 0, -2646, 0, -9432, 0, 0, 0, 8046, 0, -15228, 0, 19440, 0, 10185, 0, 0, 0, -250, 0, 486, 0, 16956, 0, -4384, 0, 0, 0, -5166, 0, 2401, 0, -4647, 0, 8802, 0, 0, 0, -324, 0, 6966, 0, -17270, 0, 378, 0, 0, 0, 18431, 0, -1515, 0, 1224, 0, -972, 0, 0, 0, 7560, 0, -2449, 0, -4428, 0, -3312, 0, 0, 0, 2484, 0, -9162, 0, 7378, 0, -675, 0, 0, 0, -28188, 0, 7074, 0, -5418, 0, -6829, 0, 0, 0, -4878, 0, -11843, 0, 1134, 0, 19800, 0, 0, 0, 4698, 0, 15876, 0, 3053, 0, 915, 0, 0, 0, 20456, 0, 423, 0, 1350, 0, 3976, 0, 0, 0, -10854, 0, 8965, 0, -2916, 0, -24930, 0, 0, 0, -567, 0, -24786, 0, -14785, 0, -5238, 0, 0, 0, 15851, 0, -11631, 0, -9954, 0, 1944, 0, 0, 0, 23148, 0, 6775, 0, 6426, 0, -21888, 0, 0, 0, -12099, 0, 10764, 0, -25597, 0, -3087, 0, 0, 0, -24976, 0, 1134, 0, -28710, 0, -2134, 0, 0, 0, 13932, 0, -10429, 0, -486, 0, -10080, 0, 0, 0, 4050, 0, 5652, 0, -6283, 0, -12315, 0, 0, 0, 16170, 0, -9720, 0, -20916, 0, -23452, 0, 0, 0, -11916, 0, -6804, 0, 5691, 0, 31842, 0, 0, 0, -9486, 0, 3672, 0, 5138, 0, -2970, 0, 0, 0, 972, 0, 4155, 0, -2538, 0, -5050, 0, 0, 0, 28458, 0, 3073, 0, -7560, 0, 24408, 0, 0, 0, 15387, 0, 1980, 0, 16328, 0, 3402, 0, 0, 0, -6480, 0, -9720, 0, 6246, 0, -7850, 0, 0, 0, -5796, 0, -30679, 0, -5112, 0, 4878, 0, 0, 0, -8964, 0, 15462, 0, -3836, 0, -7941, 0, 0, 0, 26801, 0, 729, 0, -2934, 0, -22858, 0, 0, 0, 18522, 0, -16900, 0, 4125, 0, 8028, 0, 0, 0, 12798, 0, 10332, 0, -12448, 0, -12636, 0, 0, 0, -30103, 0, 2916, 0, -17748, 0, -8939, 0, 0, 0, -6930, 0, 13283, 0, 17172, 0, 26424, 0, 0, 0, -6594, 0, 9000, 0, 58320, 0, -1458, 0, 0, 0, -9709, 0, -13824, 0, -12852, 0, -2585, 0, 0, 0, -7884, 0, 9396, 0, 12960, 0, 56916, 0, 0, 0, -19278, 0, -1476, 0, 21455, 0, -10128, 0, 0, 0, 4075, 0, 3465, 0, 31086, 0, 23381, 0, 0, 0, 3636, 0, 4058, 0, 16143, 0, -5292, 0, 0, 0, -7317, 0, 306, 0, -21473, 0, -10422, 0, 0, 0, -11095, 0, -6807, 0, -5652, 0, 42299, 0, 0, 0, -11484, 0, 33560, 0, 7560, 0, -14976, 0, 0, 0, -13767, 0, 30672, 0, 18865, 0, -3951, 0, 0, 0, -41893, 0, -5022, 0, -720, 0, 17309, 0, 0, 0, -7002, 0, 4144, 0, -4374, 0, -13050, 0, 0, 0, 2970, 0, 14634, 0, -648, 0, 3423, 0, 0, 0, 1484, 0, 7452, 0, -18882, 0, -76788, 0, 0, 0, 3276, 0, -50653, 0, 1617, 0, 59400, 0, 0, 0, 4932, 0, 35262, 0, 7350, 0, 4482, 0, 0, 0, 20279, 0, -11991, 0, 42390, 0, 6480, 0, 0, 0, -42426, 0, 57970, 0, -11016, 0, 48168, 0, 0, 0, 8748, 0, -18018, 0, 43650, 0, -13284, 0, 0, 0, -51400, 0, -1350, 0, 33858, 0, 12292, 0, 0, 0, 47106, 0, -77760, 0, 11493, 0, -20844, 0, 0, 0, -10962, 0, 2934, 0, 4133, 0, 3156, 0, 0, 0, 33122, 0, 8478, 0, -20790, 0, 2268, 0, 0, 0, 900, 0, -15091, 0, -11613, 0, -35838, 0, 0, 0, 16524, 0, 19242, 0, -39493, 0, 43902, 0, 0, 0, 31240, 0, 13377, 0, -23418, 0, -16531, 0, 0, 0, 846, 0, 28511, 0, -23058, 0, -18774, 0, 0, 0, -138, 0, -39168, 0, -14761, 0, -4455, 0, 0, 0, -23765, 0, -20142, 0, -9090, 0, 1745, 0, 0, 0, 23706, 0, 22571, 0, -1134, 0, -16956, 0, 0, 0, 3888, 0, -78210, 0, -9396, 0, -18702, 0, 0, 0, 61397, 0, 14265, 0, -44424, 0, -559, 0, 0, 0, 27018, 0, 10843, 0, 17709, 0, -37710, 0, 0, 0, -9720, 0, -8730, 0, -44712, 0, 756, 0, 0, 0, 48977, 0, 26601, 0, -3150, 0, 36071, 0, 0, 0, 5292, 0, -3283, 0, 8910, 0, -29592, 0, 0, 0, 26511, 0, -6174, 0, 3535, 0, -5328, 0, 0, 0, -85094, 0, -30132, 0, 47034, 0, 16337, 0, 0, 0, -79200, 0, -1175, 0, -4401, 0, -48672, 0, 0, 0, -8208, 0, 10332, 0, -55159, 0, -972, 0, 0, 0, 79704, 0, -4212, 0, -15066, 0, -5796, 0, 0, 0, 34434, 0, 19440, 0, -36723, 0, -61938, 0, 0, 0, 1575, 0, -68958, 0, -70858, 0, 27108, 0, 0, 0, -19440, 0, 44715, 0, -16506, 0, 13310, 0, 0, 0, -65142, 0, 648, 0, -50868, 0, -31050, 0, 0, 0, 25647, 0, 33984, 0, -12556, 0, 23166, 0, 0, 0, 21266, 0, -2646, 0, -18972, 0, -99144, 0, 0, 0, 8802, 0, -36406, 0, -15804, 0, -10962, 0, 0, 0, 4644, 0, -54036, 0, 24145, 0, 18330, 0, 0, 0, -2135, 0, 14094, 0, 97560, 0, 8575, 0, 0, 0, 22698, 0, 32591, 0, -987, 0, 59202, 0, 0, 0, 26730, 0, 50796, 0, -18127, 0, 17874, 0, 0, 0, 899, 0, 21489, 0, 18810, 0, 84797, 0, 0, 0, 9108, 0, 6804, 0, 1350, 0, -45540, 0, 0, 0, 51, 0, -39366, 0, 86390, 0, -7938, 0, 0, 0, -36919, 0, -28296, 0, -13716, 0, 44173, 0, 0, 0, 12222, 0, -30140, 0, 24138, 0, -10224, 0, 0, 0, -45684, 0, 27000, 0, 27139, 0, 58320, 0, 0, 0, -2268, 0, 30555, 0, 22986, 0, -28188, 0, 0, 0, -78984, 0, 47943, 0, -750, 0, -60138, 0, 0, 0, 1458, 0, -14994, 0, -24883, 0, 50868, 0, 0, 0, 26350, 0, -13152, 0, 81180, 0, 28231, 0, 0, 0, 31968, 0, 36971, 0, -15498, 0, -846, 0, 0, 0, 7203, 0, -80190, 0, 25596, 0, -13941, 0, 0, 0, -70235, 0, 26406, 0, 15876, 0, 86888, 0, 0, 0, 18360, 0, -65629, 0, -972, 0, -33606, 0, 0, 0, 20898, 0, 41778, 0, 25272, 0, -51810, 0, 0, 0, 93311, 0, 1134, 0, 24930, 0, 53957, 0, 0, 0, -141462, 0, 75980, 0, 55293, 0, -9450, 0, 0, 0, -4545, 0, -100980, 0, -32005, 0, 3672, 0, 0, 0, 28735, 0, -2916, 0, 49158, 0, 37916, 0, 0, 0, 90072, 0, 28610, 0, 22680, 0, 51012, 0, 0, 0, -7347, 0, 98298, 0, 14200, 0, -13284, 0, 0, 0, -138996, 0, -9936, 0, 52812, 0, 25920, 0, 0, 0, -113040, 0, 79674, 0, 7452, 0, 88218, 0, 0, 0, -27486, 0, 94824, 0, 84833, 0, 22134, 0, 0, 0, 1944, 0, -2025, 0, 6174, 0, -59281, 0, 0, 0, 6930, 0, -81433, 0, -84564, 0, 75078, 0, 0, 0, 21222, 0, -24498, 0, -9695, 0, -16254, 0, 0, 0, 5915, 0, -20487, 0, -8694, 0, -87175, 0, 0, 0, -35550, 0, 84185, 0, -14634, 0, -68634, 0, 0, 0, -35529, 0, 17640, 0, -51182, 0, 3402, 0, 0, 0, -75346, 0, 59400, 0, -57438, 0, -35903, 0, 0, 0, 12636, 0, -61003, 0, 14094, 0, 18306, 0, 0, 0, 47628, 0, -34812, 0, -9043, 0, 9159, 0, 0, 0, 75188, 0, 2745, 0, 22680, 0, 19440, 0, 0, 0, -900, 0, -144828, 0, 61368, 0, 9756, 0, 0, 0, 1269, 0, -7902, 0, 32560, 0, 4050, 0, 0, 0, -10258, 0, 11928, 0, -183330, 0, -62323, 0, 0, 0, 93726, 0, 68318, 0, -32562, 0, 20916, 0, 0, 0, 26895, 0, 18972, 0, 60679, 0, -8748, 0, 0, 0, 18529, 0, -74790, 0, -36000, 0, -25405, 0, 0, 0, 34938, 0, -51928, 0, -1701, 0, 25740, 0, 0, 0, -74358, 0, -30582, 0, -6804, 0, -44355, 0, 0, 0, 14904, 0, -15714, 0, 2088, 0, -60388, 0, 0, 0, 83646, 0, -9625, 0, 47553, 0, -23526, 0, 0, 0, -34893, 0, 163908, 0, -36709, 0, -29862, 0, 0, 0, -68968, 0, 5832, 0, 9864, 0, 44138, 0, 0, 0, 29484, 0, 58949, 0, 69444, 0, 58680, 0, 0, 0, 20325, 0, -2538, 0, -6804, 0, 19278, 0, 0, 0, 19385, 0, -65664, 0, -141570, 0, 19469, 0, 0, 0, 108342, 0, -129565, 0, -36297, 0, 27270, 0, 0, 0, 32292, 0, -40068, 0, -67537, 0, -76791, 0, 0, 0, 96580, 0, -9261, 0, -85248, 0, -92316, 0, 0, 0, 10224, 0, -26568, 0, -74928, 0, -63792, 0, 0, 0, 3402, 0, -34146, 0, -97648, 0, -86130, 0, 0, 0, 79704, 0, -6402, 0, 32256, 0, 10975, 0, 0, 0, -558, 0, -52938, 0, 41796, 0, 22986, 0, 0, 0, -31287, 0, -44712, 0, -63433, 0, -1458, 0, 0, 0, 97667, 0, -30240, 0, 49338, 0, 87713, 0, 0, 0, -14832, 0, 109664, 0, 12150, 0, 44982, 0, 0, 0, 16956, 0, 45936, 0, -12737, 0, -18849, 0, 0, 0, 23632, 0, -36945, 0, -76734, 0, -127332, 0, 0, 0, 119124, 0, -25596, 0, 48510, 0, 107820, 0, 0, 0, -29160, 0, -20700, 0, 33048, 0, -62748, 0, 0, 0, -187920, 0, -70356, 0, -88344, 0, -111169, 0, 0, 0, -147510, 0, -37667, 0, -35748, 0, 18522, 0, 0, 0, -20412, 0, 139104, 0, 110585, 0, 17073, 0, 0, 0, -13700, 0, 95526, 0, -11304, 0, -186725, 0, 0, 0, 24318, 0, -84564, 0, -28458, 0, 54360, 0, 0, 0, 11016, 0, 141066, 0, 15883, 0, 15414, 0, 0, 0, -121852, 0, -8910, 0, -16470, 0, 59606, 0, 0, 0, -2844, 0, 40157, 0, 2916, 0, 124722, 0, 0, 0, 12465, 0, 105840, 0, 20276, 0, -7614, 0, 0, 0, -5851, 0, -15150, 0, -85086, 0, 32123, 0, 0, 0, 24732, 0, -84715, 0, 85374, 0, 36900, 0, 0, 0, 9219, 0, -132084, 0, 85195, 0, -22680, 0, 0, 0, -25920, 0, 73224, 0, 11718, 0, 24254, 0, 0, 0, 28530, 0, 58320, 0, 46161, 0, -121662, 0, 0, 0, 5940, 0, -84420, 0, -31925, 0, 48984, 0, 0, 0, 92953, 0, 10206, 0, -116100, 0, -64735, 0, 0, 0, -44658, 0, 102257, 0, -19440, 0, -6930, 0, 0, 0, -29160, 0, -84726, 0, 94284, 0, 18738, 0, 0, 0, 47922, 0, -23550, 0, 47628, 0, 91025, 0, 0, 0, 56916, 0, 27775, 0, -17388, 0, 209358, 0, 0, 0, -92037, 0, 106254, 0, 13760, 0, -15336, 0, 0, 0, -159301, 0, 14634, 0, 119844, 0, 85553, 0, 0, 0, -45900, 0, -3773, 0, -26892, 0, -33966, 0, 0, 0, 46386, 0, -10656, 0, 112634, 0, -11508, 0, 0, 0, -115668, 0, -23823, 0, 81180, 0, 12960, 0, 0, 0, -10458, 0, -162649, 0, 80403, 0, 39564, 0, 0, 0, 2187, 0, 217782, 0, 27979, 0, -8802, 0, 0, 0, 75295, 0, -68574, 0, 292680, 0, 86039, 0, 0, 0, -183510, 0, 168661, 0, 55566, 0, -27864, 0, 0, 0, -50700, 0, 25704, 0, -95131, 0, 12375, 0, 0, 0, -8424, 0, 24084, 0, 7902, 0, -20412, 0, 0, 0, 27918, 0, 15821, 0, 38394, 0, 84150, 0, 0, 0, 30996, 0, -129690, 0, 106703, 0, -37344, 0, 0, 0, 14758, 0, -37908, 0, 3150, 0, 285634, 0, 0, 0, 107028, 0, 82487, 0, -90309, 0, -31068, 0, 0, 0, 8748, 0, 5868, 0, 27557, 0, -53244, 0, 0, 0, 172424, 0, -26817, 0, 30672, 0, -117457, 0, 0, 0, -110520, 0, -39625, 0, -20790, 0, -153468, 0, 0, 0, 39849, 0, -196398, 0, -13993, 0, 51516, 0, 0, 0, -7364, 0, 79272, 0, 221670, 0, -14904, 0, 0, 0, -86130, 0, 46332, 0, -19782, 0, -12762, 0, 0, 0, 27000, 0, 52038, 0, -99523, 0, 174960, 0, 0, 0, 7127, 0, -4374, 0, 45180, 0, -16775, 0, 0, 0, 101484, 0, 27097, 0, -29127, 0, -31608, 0, 0, 0, -41472, 0, -9864, 0, -93625, 0, -38556, 0, 0, 0, -82342, 0, -7755, 0, -183114, 0, 115091, 0, 0, 0, -102438, 0, -147925, 0, -23652, 0, -50346, 0, 0, 0, 28188, 0, 115848, 0, 69629, 0, 38880, 0, 0, 0, -76788, 0, 170748, 0, -129222, 0, 14800, 0, 0, 0, -29430, 0, -45360, 0, -57834, 0, -119466, 0, 0, 0, -4428, 0, 53802, 0, 53460, 0, 64365, 0, 0, 0, -168541, 0, -30384, 0, 14454, 0, 322, 0, 0, 0, -13230, 0, 153928, 0, 12225, 0, -74790, 0, 0, 0, 10395, 0, -83232, 0, 26568, 0, 93258, 0, 0, 0, -15220, 0, 70143, 0, 46998, 0, -164005, 0, 0, 0, 121176, 0, -107702, 0, 10908, 0, 96030, 0, 0, 0, 12174, 0, 11700, 0, -18792, 0, 48429, 0, 0, 0, 136080, 0, -15876, 0, -16920, 0, -187804, 0, 0, 0, -22986, 0, 213235, 0, -21951, 0, -9072, 0, 0, 0, 918, 0, -276966, 0, -103825, 0, -64419, 0, 0, 0, 43638, 0, -31266, 0, -43380, 0, 48276, 0, 0, 0, -20538, 0, -26431, 0, -33285, 0, -247662, 0, 0, 0, -20421, 0, -246132, 0, -240688, 0, -16956, 0, 0, 0, 178985, 0, 126897, 0, -117810, 0, 174960, 0, 0, 0, 61110, 0, -41321, 0, -34452, 0, -385362, 0, 0, 0, 100680, 0, -38304, 0, -77760, 0, 22680, 0, 0, 0, 221815, 0, -44928, 0, -133182, 0, 27071, 0, 0, 0, 10584, 0, -33048, 0, -41301, 0, -64350, 0, 0, 0, 92016, 0, -16380, 0, -62069, 0, 56595, 0, 0, 0, -101635, 0, -11853, 0, 218214, 0, -7661, 0, 0, 0, -339120, 0, 161352, 0, -125679, 0, -6858, 0, 0, 0, -15066, 0, -20790, 0, 43900, 0, -2160, 0, 0, 0, -19072, 0, 51927, 0, 142938, 0, -61859, 0, 0, 0, 261576, 0, -159364, 0, -21006, 0, 35514, 0, 0, 0, 12432, 0, -27882, 0, -263287, 0, -13122, 0, 0, 0, 229742, 0, -39150, 0, 70308, 0, 66644, 0, 0, 0, -83286, 0, -49699, 0, 8910, 0, -143712, 0, 0, 0, 43902, 0, 122580, 0, -330956, 0, -1944, 0, 0, 0, -40879, 0, 10269, 0, -126630, 0, 111089, 0, 0, 0, -74250, 0, 32705, 0, 4452, 0, 19152, 0, 0, 0, 22356, 0, -35244, 0, 201977, 0, -56646, 0, 0, 0, 2268, 0, -230364, 0, 124812, 0, 225775, 0, 0, 0, 123480, 0, 133202, 0, 9828, 0, -33660, 0, 0, 0, -151959, 0, -390240, 0, 227448, 0, 4851, 0, 0, 0, 257039, 0, 178200, 0, -9090, 0, 65772, 0, 0, 0, 174780, 0, 85687, 0, 14796, 0, -28530, 0, 0, 0, 105786, 0, 68076, 0, -29536, 0, 22050, 0, 0, 0, 42329, 0, 13446, 0, 98568, 0, -135289, 0, 0, 0, -63252, 0, -147581, 0, 60837, 0, 23706, 0, 0, 0, -35973, 0, -74916, 0, -104335, 0, 127170, 0, 0, 0, -309096, 0, 19440, 0, -67050, 0, -272449, 0, 0, 0, 46332, 0, -26568, 0, -127278, 0, -104382, 0, 0, 0, 173910, 0, 118692, 0, -225865, 0, -33048, 0, 0, 0, 145325, 0, 144504, 0, -132660, 0, -59843, 0, 0, 0, 24534, 0, -84875, 0, 26244, 0, 14904, 0, 0, 0, -54054, 0, 211986, 0, 55909, 0, 130950, 0, 0, 0, -139489, 0, -39852, 0, -37044, 0, 248832, 0, 0, 0, -8424, 0, -76175, 0, -154200, 0, -309276, 0, 0, 0, -4050, 0, -110376, 0, 388800, 0, 101574, 0, 0, 0, -163153, 0, 36876, 0, 10656, 0, -178352, 0, 0, 0, -253818, 0, -44712, 0, 141318, 0, -10836, 0, 0, 0, -233280, 0, 185778, 0, 42444, 0, 34479, 0, 0, 0, -42770, 0, -62532, 0, 138600, 0, 88238, 0, 0, 0, 82944, 0, 347004, 0, -32886, 0, 162576, 0, 0, 0, 8802, 0, -50868, 0, 235385, 0, 12399, 0, 0, 0, -282095, 0, 9468, 0, 182304, 0, 38725, 0, 0, 0, -29592, 0, -13818, 0, 99366, 0, 379440, 0, 0, 0, 25434, 0, -45990, 0], "weight": 4, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0], 1, 0, 3, 0, 0, 0, -7, 0, 9, 0, -54, 0, -55, 0, 0, 0, 18, 0, -25, 0, -21, 0, -18, 0, 0, 0, 27, 0, -54, 0, -271, 0, -162, 0, 0, 0, 314, 0, -165, 0, -360, 0, -163, 0, 0, 0, 522, 0, -294, 0, 54, 0, -36, 0, 0, 0, -75, 0, 126, 0, 47, 0, -63, 0, 0, 0, -343, 0, -54, 0, -1080, 0, -1054, 0, 0, 0, 378, 0, -568, 0, 81, 0, 1422, 0, 0, 0, -162, 0, 1440, 0, 385, 0, -813, 0, 0, 0, -439, 0, -486, 0, 828, 0, 548, 0, 0, 0, -1476, 0, 1277, 0, 942, 0, 1836, 0, 0, 0, -495, 0, -126, 0, 1585, 0, -1080, 0, 0, 0, -592, 0, -489, 0, -468, 0, 175, 0, 0, 0, 2574, 0, -1756, 0, 1566, 0, 2970, 0, 0, 0, -882, 0, 2682, 0, 3395, 0, 162, 0, 0, 0, -1549, 0, -108, 0, 126, 0, -505, 0, 0, 0, -1476, 0, 828, 0, -225, 0, 2358, 0, 0, 0, 378, 0, 1566, 0, 305, 0, 141, 0, 0, 0, -972, 0, -189, 0, -1746, 0, -3877, 0, 0, 0, 2142, 0, -4033, 0, -1029, 0, 378, 0, 0, 0, -162, 0, 1350, 0, -4105, 0, -3240, 0, 0, 0, 1897, 0, -3162, 0, -990, 0, 1385, 0, 0, 0, -2520, 0, 5129, 0, 1134, 0, -3240, 0, 0, 0, -1704, 0, -2988, 0, -2647, 0, 243, 0, 0, 0, 1375, 0, 4266, 0, -4212, 0, 972, 0, 0, 0, 5724, 0, -2198, 0, -486, 0, -4608, 0, 0, 0, 4320, 0, -6426, 0, -3376, 0, 1155, 0, 0, 0, 5381, 0, -2439, 0, -3474, 0, -2269, 0, 0, 0, 2520, 0, -4589, 0, -1317, 0, -1674, 0, 0, 0, -1458, 0, 990, 0, 1141, 0, 2484, 0, 0, 0, 539, 0, 1644, 0, 1494, 0, -3997, 0, 0, 0, -3672, 0, 2916, 0, -4428, 0, -450, 0, 0, 0, 3831, 0, -3654, 0, 1052, 0, 2826, 0, 0, 0, -3871, 0, 5508, 0, 14634, 0, 4459, 0, 0, 0, -7686, 0, -46, 0, -1485, 0, -6714, 0, 0, 0, -378, 0, 1296, 0, -6234, 0, 4755, 0, 0, 0, 5903, 0, -3240, 0, 252, 0, 8867, 0, 0, 0, 2970, 0, 8837, 0, -1776, 0, -10044, 0, 0, 0, -1467, 0, -2736, 0, -324, 0, -1404, 0, 0, 0, -12241, 0, 525, 0, 9036, 0, 14905, 0, 0, 0, -16956, 0, 8549, 0, 7722, 0, -882, 0, 0, 0, -5268, 0, 1548, 0, 6110, 0, 4698, 0, 0, 0, -329, 0, 8910, 0, 5958, 0, 7163, 0, 0, 0, 450, 0, 17, 0, -2646, 0, -9432, 0, 0, 0, 8046, 0, -15228, 0, 19440, 0, 10185, 0, 0, 0, -250, 0, 486, 0, 16956, 0, -4384, 0, 0, 0, -5166, 0, 2401, 0, -4647, 0, 8802, 0, 0, 0, -324, 0, 6966, 0, -17270, 0, 378, 0, 0, 0, 18431, 0, -1515, 0, 1224, 0, -972, 0, 0, 0, 7560, 0, -2449, 0, -4428, 0, -3312, 0, 0, 0, 2484, 0, -9162, 0, 7378, 0, -675, 0, 0, 0, -28188, 0, 7074, 0, -5418, 0, -6829, 0, 0, 0, -4878, 0, -11843, 0, 1134, 0, 19800, 0, 0, 0, 4698, 0, 15876, 0, 3053, 0, 915, 0, 0, 0, 20456, 0, 423, 0, 1350, 0, 3976, 0, 0, 0, -10854, 0, 8965, 0, -2916, 0, -24930, 0, 0, 0, -567, 0, -24786, 0, -14785, 0, -5238, 0, 0, 0, 15851, 0, -11631, 0, -9954, 0, 1944, 0, 0, 0, 23148, 0, 6775, 0, 6426, 0, -21888, 0, 0, 0, -12099, 0, 10764, 0, -25597, 0, -3087, 0, 0, 0, -24976, 0, 1134, 0, -28710, 0, -2134, 0, 0, 0, 13932, 0, -10429, 0, -486, 0, -10080, 0, 0, 0, 4050, 0, 5652, 0, -6283, 0, -12315, 0, 0, 0, 16170, 0, -9720, 0, -20916, 0, -23452, 0, 0, 0, -11916, 0, -6804, 0, 5691, 0, 31842, 0, 0, 0, -9486, 0, 3672, 0, 5138, 0, -2970, 0, 0, 0, 972, 0, 4155, 0, -2538, 0, -5050, 0, 0, 0, 28458, 0, 3073, 0, -7560, 0, 24408, 0, 0, 0, 15387, 0, 1980, 0, 16328, 0, 3402, 0, 0, 0, -6480, 0, -9720, 0, 6246, 0, -7850, 0, 0, 0, -5796, 0, -30679, 0, -5112, 0, 4878, 0, 0, 0, -8964, 0, 15462, 0, -3836, 0, -7941, 0, 0, 0, 26801, 0, 729, 0, -2934, 0, -22858, 0, 0, 0, 18522, 0, -16900, 0, 4125, 0, 8028, 0, 0, 0, 12798, 0, 10332, 0, -12448, 0, -12636, 0, 0, 0, -30103, 0, 2916, 0, -17748, 0, -8939, 0, 0, 0, -6930, 0, 13283, 0, 17172, 0, 26424, 0, 0, 0, -6594, 0, 9000, 0, 58320, 0, -1458, 0, 0, 0, -9709, 0, -13824, 0, -12852, 0, -2585, 0, 0, 0, -7884, 0, 9396, 0, 12960, 0, 56916, 0, 0, 0, -19278, 0, -1476, 0, 21455, 0, -10128, 0, 0, 0, 4075, 0, 3465, 0, 31086, 0, 23381, 0, 0, 0, 3636, 0, 4058, 0, 16143, 0, -5292, 0, 0, 0, -7317, 0, 306, 0, -21473, 0, -10422, 0, 0, 0, -11095, 0, -6807, 0, -5652, 0, 42299, 0, 0, 0, -11484, 0, 33560, 0, 7560, 0, -14976, 0, 0, 0, -13767, 0, 30672, 0, 18865, 0, -3951, 0, 0, 0, -41893, 0, -5022, 0, -720, 0, 17309, 0, 0, 0, -7002, 0, 4144, 0, -4374, 0, -13050, 0, 0, 0, 2970, 0, 14634, 0, -648, 0, 3423, 0, 0, 0, 1484, 0, 7452, 0, -18882, 0, -76788, 0, 0, 0, 3276, 0, -50653, 0, 1617, 0, 59400, 0, 0, 0, 4932, 0, 35262, 0, 7350, 0, 4482, 0, 0, 0, 20279, 0, -11991, 0, 42390, 0, 6480, 0, 0, 0, -42426, 0, 57970, 0, -11016, 0, 48168, 0, 0, 0, 8748, 0, -18018, 0, 43650, 0, -13284, 0, 0, 0, -51400, 0, -1350, 0, 33858, 0, 12292, 0, 0, 0, 47106, 0, -77760, 0, 11493, 0, -20844, 0, 0, 0, -10962, 0, 2934, 0, 4133, 0, 3156, 0, 0, 0, 33122, 0, 8478, 0, -20790, 0, 2268, 0, 0, 0, 900, 0, -15091, 0, -11613, 0, -35838, 0, 0, 0, 16524, 0, 19242, 0, -39493, 0, 43902, 0, 0, 0, 31240, 0, 13377, 0, -23418, 0, -16531, 0, 0, 0, 846, 0, 28511, 0, -23058, 0, -18774, 0, 0, 0, -138, 0, -39168, 0, -14761, 0, -4455, 0, 0, 0, -23765, 0, -20142, 0, -9090, 0, 1745, 0, 0, 0, 23706, 0, 22571, 0, -1134, 0, -16956, 0, 0, 0, 3888, 0, -78210, 0, -9396, 0, -18702, 0, 0, 0, 61397, 0, 14265, 0, -44424, 0, -559, 0, 0, 0, 27018, 0, 10843, 0, 17709, 0, -37710, 0, 0, 0, -9720, 0, -8730, 0, -44712, 0, 756, 0, 0, 0, 48977, 0, 26601, 0, -3150, 0, 36071, 0, 0, 0, 5292, 0, -3283, 0, 8910, 0, -29592, 0, 0, 0, 26511, 0, -6174, 0, 3535, 0, -5328, 0, 0, 0, -85094, 0, -30132, 0, 47034, 0, 16337, 0, 0, 0, -79200, 0, -1175, 0, -4401, 0, -48672, 0, 0, 0, -8208, 0, 10332, 0, -55159, 0, -972, 0, 0, 0, 79704, 0, -4212, 0, -15066, 0, -5796, 0, 0, 0, 34434, 0, 19440, 0, -36723, 0, -61938, 0, 0, 0, 1575, 0, -68958, 0, -70858, 0, 27108, 0, 0, 0, -19440, 0, 44715, 0, -16506, 0, 13310, 0, 0, 0, -65142, 0, 648, 0, -50868, 0, -31050, 0, 0, 0, 25647, 0, 33984, 0, -12556, 0, 23166, 0, 0, 0, 21266, 0, -2646, 0, -18972, 0, -99144, 0, 0, 0, 8802, 0, -36406, 0, -15804, 0, -10962, 0, 0, 0, 4644, 0, -54036, 0, 24145, 0, 18330, 0, 0, 0, -2135, 0, 14094, 0, 97560, 0, 8575, 0, 0, 0, 22698, 0, 32591, 0, -987, 0, 59202, 0, 0, 0, 26730, 0, 50796, 0, -18127, 0, 17874, 0, 0, 0, 899, 0, 21489, 0, 18810, 0, 84797, 0, 0, 0, 9108, 0, 6804, 0, 1350, 0, -45540, 0, 0, 0, 51, 0, -39366, 0, 86390, 0, -7938, 0, 0, 0, -36919, 0, -28296, 0, -13716, 0, 44173, 0, 0, 0, 12222, 0, -30140, 0, 24138, 0, -10224, 0, 0, 0, -45684, 0, 27000, 0, 27139, 0, 58320, 0, 0, 0, -2268, 0, 30555, 0, 22986, 0, -28188, 0, 0, 0, -78984, 0, 47943, 0, -750, 0, -60138, 0, 0, 0, 1458, 0, -14994, 0, -24883, 0, 50868, 0, 0, 0, 26350, 0, -13152, 0, 81180, 0, 28231, 0, 0, 0, 31968, 0, 36971, 0, -15498, 0, -846, 0, 0, 0, 7203, 0, -80190, 0, 25596, 0, -13941, 0, 0, 0, -70235, 0, 26406, 0, 15876, 0, 86888, 0, 0, 0, 18360, 0, -65629, 0, -972, 0, -33606, 0, 0, 0, 20898, 0, 41778, 0, 25272, 0, -51810, 0, 0, 0, 93311, 0, 1134, 0, 24930, 0, 53957, 0, 0, 0, -141462, 0, 75980, 0, 55293, 0, -9450, 0, 0, 0, -4545, 0, -100980, 0, -32005, 0, 3672, 0, 0, 0, 28735, 0, -2916, 0, 49158, 0, 37916, 0, 0, 0, 90072, 0, 28610, 0, 22680, 0, 51012, 0, 0, 0, -7347, 0, 98298, 0, 14200, 0, -13284, 0, 0, 0, -138996, 0, -9936, 0, 52812, 0, 25920, 0, 0, 0, -113040, 0, 79674, 0, 7452, 0, 88218, 0, 0, 0, -27486, 0, 94824, 0, 84833, 0, 22134, 0, 0, 0, 1944, 0, -2025, 0, 6174, 0, -59281, 0, 0, 0, 6930, 0, -81433, 0, -84564, 0, 75078, 0, 0, 0, 21222, 0, -24498, 0, -9695, 0, -16254, 0, 0, 0, 5915, 0, -20487, 0, -8694, 0, -87175, 0, 0, 0, -35550, 0, 84185, 0, -14634, 0, -68634, 0, 0, 0, -35529, 0, 17640, 0, -51182, 0, 3402, 0, 0, 0, -75346, 0, 59400, 0, -57438, 0, -35903, 0, 0, 0, 12636, 0, -61003, 0, 14094, 0, 18306, 0, 0, 0, 47628, 0, -34812, 0, -9043, 0, 9159, 0, 0, 0, 75188, 0, 2745, 0, 22680, 0, 19440, 0, 0, 0, -900, 0, -144828, 0, 61368, 0, 9756, 0, 0, 0, 1269, 0, -7902, 0, 32560, 0, 4050, 0, 0, 0, -10258, 0, 11928, 0, -183330, 0, -62323, 0, 0, 0, 93726, 0, 68318, 0, -32562, 0, 20916, 0, 0, 0, 26895, 0, 18972, 0, 60679, 0, -8748, 0, 0, 0, 18529, 0, -74790, 0, -36000, 0, -25405, 0, 0, 0, 34938, 0, -51928, 0, -1701, 0, 25740, 0, 0, 0, -74358, 0, -30582, 0, -6804, 0, -44355, 0, 0, 0, 14904, 0, -15714, 0, 2088, 0, -60388, 0, 0, 0, 83646, 0, -9625, 0, 47553, 0, -23526, 0, 0, 0, -34893, 0, 163908, 0, -36709, 0, -29862, 0, 0, 0, -68968, 0, 5832, 0, 9864, 0, 44138, 0, 0, 0, 29484, 0, 58949, 0, 69444, 0, 58680, 0, 0, 0, 20325, 0, -2538, 0, -6804, 0, 19278, 0, 0, 0, 19385, 0, -65664, 0, -141570, 0, 19469, 0, 0, 0, 108342, 0, -129565, 0, -36297, 0, 27270, 0, 0, 0, 32292, 0, -40068, 0, -67537, 0, -76791, 0, 0, 0, 96580, 0, -9261, 0, -85248, 0, -92316, 0, 0, 0, 10224, 0, -26568, 0, -74928, 0, -63792, 0, 0, 0, 3402, 0, -34146, 0, -97648, 0, -86130, 0, 0, 0, 79704, 0, -6402, 0, 32256, 0, 10975, 0, 0, 0, -558, 0, -52938, 0, 41796, 0, 22986, 0, 0, 0, -31287, 0, -44712, 0, -63433, 0, -1458, 0, 0, 0, 97667, 0, -30240, 0, 49338, 0, 87713, 0, 0, 0, -14832, 0, 109664, 0, 12150, 0, 44982, 0, 0, 0, 16956, 0, 45936, 0, -12737, 0, -18849, 0, 0, 0, 23632, 0, -36945, 0, -76734, 0, -127332, 0, 0, 0, 119124, 0, -25596, 0, 48510, 0, 107820, 0, 0, 0, -29160, 0, -20700, 0, 33048, 0, -62748, 0, 0, 0, -187920, 0, -70356, 0, -88344, 0, -111169, 0, 0, 0, -147510, 0, -37667, 0, -35748, 0, 18522, 0, 0, 0, -20412, 0, 139104, 0, 110585, 0, 17073, 0, 0, 0, -13700, 0, 95526, 0, -11304, 0, -186725, 0, 0, 0, 24318, 0, -84564, 0, -28458, 0, 54360, 0, 0, 0, 11016, 0, 141066, 0, 15883, 0, 15414, 0, 0, 0, -121852, 0, -8910, 0, -16470, 0, 59606, 0, 0, 0, -2844, 0, 40157, 0, 2916, 0, 124722, 0, 0, 0, 12465, 0, 105840, 0, 20276, 0, -7614, 0, 0, 0, -5851, 0, -15150, 0, -85086, 0, 32123, 0, 0, 0, 24732, 0, -84715, 0, 85374, 0, 36900, 0, 0, 0, 9219, 0, -132084, 0, 85195, 0, -22680, 0, 0, 0, -25920, 0, 73224, 0, 11718, 0, 24254, 0, 0, 0, 28530, 0, 58320, 0, 46161, 0, -121662, 0, 0, 0, 5940, 0, -84420, 0, -31925, 0, 48984, 0, 0, 0, 92953, 0, 10206, 0, -116100, 0, -64735, 0, 0, 0, -44658, 0, 102257, 0, -19440, 0, -6930, 0, 0, 0, -29160, 0, -84726, 0, 94284, 0, 18738, 0, 0, 0, 47922, 0, -23550, 0, 47628, 0, 91025, 0, 0, 0, 56916, 0, 27775, 0, -17388, 0, 209358, 0, 0, 0, -92037, 0, 106254, 0, 13760, 0, -15336, 0, 0, 0, -159301, 0, 14634, 0, 119844, 0, 85553, 0, 0, 0, -45900, 0, -3773, 0, -26892, 0, -33966, 0, 0, 0, 46386, 0, -10656, 0, 112634, 0, -11508, 0, 0, 0, -115668, 0, -23823, 0, 81180, 0, 12960, 0, 0, 0, -10458, 0, -162649, 0, 80403, 0, 39564, 0, 0, 0, 2187, 0, 217782, 0, 27979, 0, -8802, 0, 0, 0, 75295, 0, -68574, 0, 292680, 0, 86039, 0, 0, 0, -183510, 0, 168661, 0, 55566, 0, -27864, 0, 0, 0, -50700, 0, 25704, 0, -95131, 0, 12375, 0, 0, 0, -8424, 0, 24084, 0, 7902, 0, -20412, 0, 0, 0, 27918, 0, 15821, 0, 38394, 0, 84150, 0, 0, 0, 30996, 0, -129690, 0, 106703, 0, -37344, 0, 0, 0, 14758, 0, -37908, 0, 3150, 0, 285634, 0, 0, 0, 107028, 0, 82487, 0, -90309, 0, -31068, 0, 0, 0, 8748, 0, 5868, 0, 27557, 0, -53244, 0, 0, 0, 172424, 0, -26817, 0, 30672, 0, -117457, 0, 0, 0, -110520, 0, -39625, 0, -20790, 0, -153468, 0, 0, 0, 39849, 0, -196398, 0, -13993, 0, 51516, 0, 0, 0, -7364, 0, 79272, 0, 221670, 0, -14904, 0, 0, 0, -86130, 0, 46332, 0, -19782, 0, -12762, 0, 0, 0, 27000, 0, 52038, 0, -99523, 0, 174960, 0, 0, 0, 7127, 0, -4374, 0, 45180, 0, -16775, 0, 0, 0, 101484, 0, 27097, 0, -29127, 0, -31608, 0, 0, 0, -41472, 0, -9864, 0, -93625, 0, -38556, 0, 0, 0, -82342, 0, -7755, 0, -183114, 0, 115091, 0, 0, 0, -102438, 0, -147925, 0, -23652, 0, -50346, 0, 0, 0, 28188, 0, 115848, 0, 69629, 0, 38880, 0, 0, 0, -76788, 0, 170748, 0, -129222, 0, 14800, 0, 0, 0, -29430, 0, -45360, 0, -57834, 0, -119466, 0, 0, 0, -4428, 0, 53802, 0, 53460, 0, 64365, 0, 0, 0, -168541, 0, -30384, 0, 14454, 0, 322, 0, 0, 0, -13230, 0, 153928, 0, 12225, 0, -74790, 0, 0, 0, 10395, 0, -83232, 0, 26568, 0, 93258, 0, 0, 0, -15220, 0, 70143, 0, 46998, 0, -164005, 0, 0, 0, 121176, 0, -107702, 0, 10908, 0, 96030, 0, 0, 0, 12174, 0, 11700, 0, -18792, 0, 48429, 0, 0, 0, 136080, 0, -15876, 0, -16920, 0, -187804, 0, 0, 0, -22986, 0, 213235, 0, -21951, 0, -9072, 0, 0, 0, 918, 0, -276966, 0, -103825, 0, -64419, 0, 0, 0, 43638, 0, -31266, 0, -43380, 0, 48276, 0, 0, 0, -20538, 0, -26431, 0, -33285, 0, -247662, 0, 0, 0, -20421, 0, -246132, 0, -240688, 0, -16956, 0, 0, 0, 178985, 0, 126897, 0, -117810, 0, 174960, 0, 0, 0, 61110, 0, -41321, 0, -34452, 0, -385362, 0, 0, 0, 100680, 0, -38304, 0, -77760, 0, 22680, 0, 0, 0, 221815, 0, -44928, 0, -133182, 0, 27071, 0, 0, 0, 10584, 0, -33048, 0, -41301, 0, -64350, 0, 0, 0, 92016, 0, -16380, 0, -62069, 0, 56595, 0, 0, 0, -101635, 0, -11853, 0, 218214, 0, -7661, 0, 0, 0, -339120, 0, 161352, 0, -125679, 0, -6858, 0, 0, 0, -15066, 0, -20790, 0, 43900, 0, -2160, 0, 0, 0, -19072, 0, 51927, 0, 142938, 0, -61859, 0, 0, 0, 261576, 0, -159364, 0, -21006, 0, 35514, 0, 0, 0, 12432, 0, -27882, 0, -263287, 0, -13122, 0, 0, 0, 229742, 0, -39150, 0, 70308, 0, 66644, 0, 0, 0, -83286, 0, -49699, 0, 8910, 0, -143712, 0, 0, 0, 43902, 0, 122580, 0, -330956, 0, -1944, 0, 0, 0, -40879, 0, 10269, 0, -126630, 0, 111089, 0, 0, 0, -74250, 0, 32705, 0, 4452, 0, 19152, 0, 0, 0, 22356, 0, -35244, 0, 201977, 0, -56646, 0, 0, 0, 2268, 0, -230364, 0, 124812, 0, 225775, 0, 0, 0, 123480, 0, 133202, 0, 9828, 0, -33660, 0, 0, 0, -151959, 0, -390240, 0, 227448, 0, 4851, 0, 0, 0, 257039, 0, 178200, 0, -9090, 0, 65772, 0, 0, 0, 174780, 0, 85687, 0, 14796, 0, -28530, 0, 0, 0, 105786, 0, 68076, 0, -29536, 0, 22050, 0, 0, 0, 42329, 0, 13446, 0, 98568, 0, -135289, 0, 0, 0, -63252, 0, -147581, 0, 60837, 0, 23706, 0, 0, 0, -35973, 0, -74916, 0, -104335, 0, 127170, 0, 0, 0, -309096, 0, 19440, 0, -67050, 0, -272449, 0, 0, 0, 46332, 0, -26568, 0, -127278, 0, -104382, 0, 0, 0, 173910, 0, 118692, 0, -225865, 0, -33048, 0, 0, 0, 145325, 0, 144504, 0, -132660, 0, -59843, 0, 0, 0, 24534, 0, -84875, 0, 26244, 0, 14904, 0, 0, 0, -54054, 0, 211986, 0, 55909, 0, 130950, 0, 0, 0, -139489, 0, -39852, 0, -37044, 0, 248832, 0, 0, 0, -8424, 0, -76175, 0, -154200, 0, -309276, 0, 0, 0, -4050, 0, -110376, 0, 388800, 0, 101574, 0, 0, 0, -163153, 0, 36876, 0, 10656, 0, -178352, 0, 0, 0, -253818, 0, -44712, 0, 141318, 0, -10836, 0, 0, 0, -233280, 0, 185778, 0, 42444, 0, 34479, 0, 0, 0, -42770, 0, -62532, 0, 138600, 0, 88238, 0, 0, 0, 82944, 0, 347004, 0, -32886, 0, 162576, 0, 0, 0, 8802, 0, -50868, 0, 235385, 0, 12399, 0, 0, 0, -282095, 0, 9468, 0, 182304, 0, 38725, 0, 0, 0, -29592, 0, -13818, 0, 99366, 0, 379440, 0, 0, 0, 25434, 0, -45990, 0]}