# Stored data for newform 624.4.a.c, downloaded from the LMFDB on 05 September 2025.
{"Nk2": 9984, "analytic_conductor": 36.817191843582144, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, 1], [13, 1]], "atkin_lehner_string": "-++", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [624, 1, [79, 469, 209, 145], [1, 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": [[5, [-4, 1]], [7, [4, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9007199321850480, "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": false, "label": "624.4.a.c", "level": 624, "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, 13], "level_radical": 78, "minimal_twist": "78.4.a.f", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-3q^{3}+4q^{5}-4q^{7}+9q^{9}-2q^{11}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "624.4.a", "trace_display": [0, -3, 4, -4], "trace_hash": 1157127888081086599, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.992", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.957", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.829", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 1, 0, -3, 0, 4, 0, -4, 0, 9, 0, -2, 0, -13, 0, -12, 0, -6, 0, 36, 0, 12, 0, 20, 0, -109, 0, -27, 0, -14, 0, 152, 0, 6, 0, -16, 0, -258, 0, 39, 0, 84, 0, 188, 0, 36, 0, -254, 0, -327, 0, 18, 0, 366, 0, -8, 0, -108, 0, -550, 0, -14, 0, -36, 0, -52, 0, -448, 0, -60, 0, -926, 0, 254, 0, 327, 0, 8, 0, -1328, 0, 81, 0, -186, 0, -24, 0, 42, 0, -336, 0, 52, 0, -456, 0, 144, 0, 614, 0, -18, 0, -1606, 0, -208, 0, 48, 0, 248, 0, -542, 0, 774, 0, -2042, 0, 80, 0, -117, 0, 24, 0, -1327, 0, -252, 0, -936, 0, 488, 0, -564, 0, -1744, 0, -144, 0, -108, 0, -828, 0, 404, 0, 762, 0, 26, 0, -56, 0, 981, 0, 2928, 0, -1944, 0, -54, 0, 608, 0, 3590, 0, -1098, 0, -80, 0, 2284, 0, 24, 0, -3174, 0, 169, 0, 324, 0, -1358, 0, 436, 0, 1650, 0, -708, 0, -546, 0, 42, 0, -1032, 0, 12, 0, 108, 0, 3472, 0, -310, 0, 156, 0, 1020, 0, 3256, 0, 1344, 0, 56, 0, 336, 0, 180, 0, -72, 0, 4564, 0, 2778, 0, 752, 0, -608, 0, -762, 0, 78, 0, 72, 0, -981, 0, -2694, 0, 5922, 0, -24, 0, -5122, 0, -1016, 0, 3984, 0, -5022, 0, -1218, 0, -243, 0, -1308, 0, -468, 0, 558, 0, 2112, 0, -40, 0, 72, 0, 2814, 0, 1032, 0, -126, 0, 4044, 0, 1464, 0, 1008, 0, -1470, 0, 1844, 0, -156, 0, 218, 0, 5766, 0, 1368, 0, -7468, 0, -1228, 0, -432, 0, -336, 0, -4877, 0, -1842, 0, 6608, 0, -2200, 0, 54, 0, -260, 0, -752, 0, 4818, 0, -56, 0, -7664, 0, 624, 0, 2340, 0, 6710, 0, -144, 0, 4164, 0, 28, 0, -744, 0, -216, 0, 1417, 0, 1626, 0, 1016, 0, 10072, 0, -2322, 0, -1792, 0, 2990, 0, 6126, 0, -304, 0, 2680, 0, -240, 0, -6564, 0, -674, 0, 351, 0, -10732, 0, -3704, 0, -72, 0, 4842, 0, -5563, 0, 3981, 0, 1016, 0, 6280, 0, 756, 0, -1464, 0, 6434, 0, 2808, 0, 182, 0, 9068, 0, -1464, 0, -3162, 0, 32, 0, 1692, 0, -3666, 0, -120, 0, 5232, 0, -5312, 0, 11054, 0, 432, 0, -5328, 0, -1976, 0, 324, 0, 516, 0, -12074, 0, 2484, 0, 2200, 0, -744, 0, -1212, 0, -13584, 0, -7406, 0, -2286, 0, 654, 0, 56, 0, -78, 0, 10134, 0, 9406, 0, 168, 0, 720, 0, -4088, 0, -2943, 0, 5328, 0, -1344, 0, -8784, 0, 13160, 0, -168, 0, 5832, 0, 208, 0, -9146, 0, 162, 0, 5580, 0, -14788, 0, -1824, 0, -12376, 0, 1792, 0, -10770, 0, -376, 0, -3924, 0, 3294, 0, -834, 0, 3354, 0, 240, 0, 2456, 0, 13192, 0, -6852, 0, -16568, 0, 84, 0, -72, 0, 3704, 0, 10136, 0, 9522, 0, -10412, 0, -6424, 0, -507, 0, -4180, 0, -1016, 0, -972, 0, -832, 0, 508, 0, 4074, 0, -14610, 0, 2172, 0, -1308, 0, -912, 0, -11767, 0, -4950, 0, -1092, 0, 992, 0, 2124, 0, 654, 0, -11758, 0, 1638, 0, -2168, 0, -340, 0, -126, 0, -504, 0, 5312, 0, 3096, 0, -3768, 0, -2444, 0, -36, 0, 10172, 0, -8168, 0, -324, 0, -5506, 0, -2340, 0, -10416, 0, -2180, 0, -20094, 0, 930, 0, 744, 0, -732, 0, -468, 0, 7118, 0, 5472, 0, -3060, 0, -10328, 0, 96, 0, -9768, 0, 19732, 0, -12026, 0, -4032, 0, -5308, 0, -17016, 0, -168, 0, 3302, 0, 11654, 0, -1008, 0, 11612, 0, -4024, 0, -540, 0, 1344, 0, 9881, 0, 216, 0, 1548, 0, 1088, 0, -13692, 0, 1952, 0, 4251, 0, -8334, 0, -7078, 0, -8336, 0, -2256, 0, -32, 0, 1100, 0, 1824, 0, -15822, 0, -6976, 0, 2286, 0, -21540, 0, 8270, 0, -234, 0, -576, 0, -280, 0, -216, 0, 28, 0, 8482, 0, 2943, 0, 2550, 0, -2456, 0, 8082, 0, 31534, 0, -3312, 0, -17766, 0, -4758, 0, -33832, 0, 72, 0, 1616, 0, -504, 0, 15366, 0, 19422, 0, -9288, 0, 3048, 0, 6424, 0, -1894, 0, -11952, 0, 3040, 0, 104, 0, 15066, 0, 20156, 0, 832, 0, 3654, 0, 1526, 0, -11128, 0, 729, 0, -1128, 0, 16202, 0, 3924, 0, 896, 0, 5328, 0, 1404, 0, 20482, 0, 11712, 0, -1674, 0, -992, 0, -8040, 0, -6336, 0, -7776, 0, -15822, 0, 120, 0, -1452, 0, 2168, 0, -216, 0, 7150, 0, 32298, 0, -8442, 0, 18736, 0, -16568, 0, -3096, 0, 3024, 0, 1852, 0, 378, 0, 14360, 0, 40816, 0, -12132, 0, 8168, 0, 182, 0, -4392, 0, 4518, 0, 1524, 0, -3024, 0, -508, 0, -320, 0, 4410, 0, -5058, 0, 22564, 0, -5532, 0, 9136, 0, 6768, 0, 468, 0, 32584, 0, 9288, 0, -654, 0, -20586, 0, -46118, 0, -17298, 0, 1962, 0, -12696, 0, -4104, 0, 39230, 0, -24193, 0, 22404, 0, 676, 0, 5308, 0, 3684, 0, -5160, 0, -18674, 0, 1296, 0, 41678, 0, 14740, 0, 1008, 0, 24982, 0, -5432, 0, 14631, 0, 2656, 0, 5824, 0, 5526, 0, 3744, 0, 1134, 0, -19824, 0, 34950, 0, 3068, 0, 6600, 0, 14080, 0, -1952, 0, -162, 0, -9144, 0, -2832, 0, 780, 0, -2128, 0, -2196, 0, 2256, 0, -2184, 0, 24876, 0, -14454, 0, -51456, 0, 372, 0, 168, 0, 6976, 0, 31032, 0, 22992, 0, 12038, 0, 28122, 0, -1872, 0, 50820, 0, -11772, 0, -7020, 0, 48, 0, 5982, 0, -20130, 0, -20224, 0, 1680, 0, 432, 0, -8478, 0, -3302, 0, -12492, 0, 40918, 0, 13888, 0, -84, 0, 3312, 0, -6687, 0, 2232, 0, -1240, 0, 4624, 0, 648, 0, -15300, 0, -1616, 0, -4251, 0, 19584, 0, 672, 0, -4878, 0, 17582, 0, 4080, 0, -3048, 0, 3760, 0, -47904, 0, -30216, 0, 13024, 0, -44578, 0, 6966, 0, -104, 0, 3300, 0, 5376, 0, 13176, 0, -31570, 0, -8970, 0, -7358, 0, 224, 0, -18378, 0, 15882, 0, 30, 0, 912, 0, -9156, 0, 17264, 0, -8040, 0, 31492, 0, 47206, 0, 720, 0, 84, 0, 8112, 0, 19692, 0, -11712, 0, -288, 0, 2022, 0, -45982, 0, 15208, 0, -1053, 0, 18256, 0, 7776, 0, 32196, 0, -34768, 0, 8288, 0, 11112, 0, -1228, 0, 19850, 0, 216, 0, 3612, 0, -20492, 0, -14526, 0, 2418, 0, -5080, 0, 16689, 0, -2432, 0, -34860, 0, -11943, 0, -66404, 0, -20798, 0, -3048, 0, -11384, 0, -14360, 0, -18840, 0, 41962, 0, 312, 0, -2268, 0, 25214, 0, 3212, 0, 4392, 0, 288, 0, -27482, 0, -19302, 0, -19800, 0, -21636, 0, -8424, 0, -6540, 0, 57566, 0, -546, 0, 416, 0, -10776, 0, -27204, 0, 2688, 0, -9136, 0, 4392, 0, 23688, 0, -39216, 0, 9486, 0, -25302, 0, 37114, 0, -96, 0, 4368, 0, -504, 0, -5076, 0, -32178, 0, -20488, 0, 10998, 0, 12696, 0, 8396, 0, 360, 0, 27686, 0, -496, 0, -15696, 0, -39440, 0, -676, 0, 15936, 0, -59612, 0, -1176, 0, -33162, 0, 33702, 0, -20088, 0, -1296, 0, 1084, 0, 62066, 0, 15984, 0, -4872, 0, 5556, 0, 5928, 0, 5432, 0, 11434, 0, -972, 0, -10016, 0, 7320, 0, -1548, 0, 12712, 0, 35643, 0, 36222, 0, 36924, 0, -65792, 0, -7452, 0, -1872, 0, -358, 0, -6600, 0, -1524, 0, 4084, 0, 2232, 0, -2632, 0, -57926, 0, 3636, 0, 2832, 0, 8448, 0, 40752, 0, -9830, 0, -7982, 0, 22218, 0, -160, 0, 2184, 0, 6858, 0, 12768, 0, -16128, 0, -1962, 0, -79626, 0, -55072, 0, -168, 0, -68808, 0, 11256, 0, 234, 0, 19272, 0, 90876, 0, -30402, 0, 4128, 0, -9250, 0, -28218, 0, -64530, 0, -37088, 0, -504, 0, -7778, 0, -48, 0, -2160, 0, 20878, 0, 16176, 0, 12264, 0, 47694, 0, -86222, 0, 8829, 0, -39894, 0, 66896, 0, -15984, 0, 5316, 0, 28576, 0, 4032, 0, -13888, 0, 2704, 0, 26352, 0, 7968, 0, -5880, 0, -39480, 0, -33336, 0, 1240, 0, 504, 0, 7376, 0, -11000, 0, -17496, 0, -52118, 0, 3556, 0, -624, 0, 54490, 0, 15911, 0, 27438, 0, -25824, 0, 1872, 0, -486, 0, -4080, 0, -37298, 0, -16740, 0, 23064, 0, 9144, 0, 44364, 0, -3224, 0, -13024, 0, 5472, 0, -976, 0, -22172, 0, 37128, 0, -280, 0, -29872, 0, -5376, 0, -4104, 0, 1116, 0, 32310, 0, -4912, 0, 7046, 0, 1128, 0, 4578, 0, -20296, 0, 11772, 0, -69816, 0, -97474, 0, -9882, 0, -97982, 0, -1344, 0, 2502, 0, -68652, 0, 3488, 0, -10062, 0, -19508, 0, 74600, 0, -720, 0, -1398, 0, 73222, 0, -7368, 0, -38608, 0, -91948, 0, -39576, 0, 288, 0, 26432, 0, 20556, 0, 26546, 0, 57948, 0, 49704, 0, 59950, 0, -18256, 0, -252, 0, 338, 0, 66532, 0, 216, 0, -32062, 0, 13342, 0, -11112, 0, -5536, 0, -1040, 0, -30408, 0, -68244, 0, -47808, 0, -28566, 0, -3008, 0, 1656, 0, 31236, 0, 57032, 0, 2016, 0, 19272, 0, -21672, 0, -49704, 0, 1521, 0, -25746, 0, 1526, 0, 12540, 0, -808, 0, -24316, 0, 3048, 0, -30656, 0, -5124, 0, 2916, 0, -8960, 0, 2952, 0, 2496, 0, -312, 0, 29126, 0, -1524, 0, 102976, 0, 9360, 0, -12222, 0, 44148, 0, -288, 0, 43830, 0, 26840, 0, -78524, 0, -6516, 0, -76910, 0, 17251, 0, 3924, 0, -6696, 0, 42988, 0, 2736, 0, -94308, 0, 16656, 0, 35301, 0, 10776, 0, -48504, 0, 14850, 0, 112, 0, 63650, 0, 3276, 0, -90812, 0, -23688, 0, -2976, 0, -71234, 0, 59078, 0, -6372, 0, 32138, 0, -864, 0, -1962, 0, -99506, 0, 402, 0, 35274, 0, 12168, 0, 46924, 0, -4914, 0, 20488, 0, -18520, 0, 6504, 0, 30654, 0, -5856, 0, 1020, 0, 55632, 0, 4064, 0, 378, 0, -3684, 0, -6344, 0, 1512, 0, 40288, 0, 51730, 0, -15936, 0, 3888, 0, -6136, 0, -9288, 0, -15924, 0, 83594, 0, 11304, 0, 20088, 0, 48832, 0, 7332, 0, 5080, 0, -61865, 0, 108, 0, 11960, 0, 4872, 0, -30516, 0, -12096, 0, 109030, 0, 24504, 0, 40200, 0, 7580, 0, 972, 0, 22672, 0, -1216, 0, 16518, 0, -79804, 0, 7700, 0, 7020, 0, 10720, 0, 9636, 0, 31248, 0, -58028, 0, 132648, 0, 6540, 0, -7180, 0, 1872, 0, 60282, 0, 78618, 0, -26256, 0, -2790, 0, 65532, 0, -10790, 0, -2232, 0, -2696, 0, -25744, 0, 2196, 0, 1248, 0, -46746, 0, 1404, 0, -8448, 0, 57544, 0, -21354, 0, 15792, 0, -42928, 0, -16416, 0, 196, 0, 160, 0, 9180, 0, 100934, 0, -42082, 0, 30984, 0, 10764, 0, 99132, 0, -288, 0, 23306, 0, 34470, 0, 29304, 0, -4568, 0, 19368, 0, -59196, 0, -11256, 0, 134866, 0, 36078, 0, -22252, 0, -5252, 0, 12096, 0, 121608, 0, 84366, 0, 15924, 0, -26560, 0, -1488, 0, 51048, 0, -68080, 0, -27686, 0, 504, 0, -83600, 0, 34812, 0, -9906, 0, 25120, 0, 6348, 0, -34962, 0, -16176, 0, 22104, 0, 3024, 0, -124360, 0, -44163, 0, -34836, 0, 3252, 0, -5856, 0, 12072, 0, -338, 0, 45974, 0, 1620, 0, 25736, 0, 7104, 0, -4032, 0, 39520, 0, 129950, 0, -29643, 0, 143680, 0, 10864, 0, -648, 0, 5880, 0, 728, 0, -4644, 0, 23758, 0, -2128, 0, -3264, 0, 36272, 0, -7376, 0, 41076, 0, 32382, 0, 2716, 0, -5856, 0, -71356, 0, -3720, 0, -12753, 0, 9600, 0, -12648, 0, 25002, 0, -57816, 0, 12252, 0, 21234, 0, -872, 0, -21336, 0, 25008, 0, -18958, 0, -47594, 0, 6768, 0, -38064, 0, -23064, 0, 96, 0, 6272, 0, -14664, 0, -3300, 0, 63726, 0, -85152, 0, -5472, 0, -480, 0, -7488, 0, 47466, 0, -94428, 0, 25272, 0, 20928, 0, 29872, 0, 1416, 0, -6858, 0, -103058, 0, 144752, 0, 64620, 0, -31628, 0, 4912, 0, -24810, 0, 44216, 0, -14432, 0, 702, 0, 1092, 0, 39722, 0, 1728, 0, 118996, 0, 73080, 0, 840, 0, -100492, 0, -21312, 0, 648, 0, -27468, 0, 75284, 0, -84, 0, -7904, 0, -115018, 0, -25446, 0, -47752, 0, 19508, 0, -8829, 0, 50596, 0, 74934, 0, -7650, 0, 8928, 0, 2064, 0, 7368, 0, -97970, 0, -46670, 0, -24246, 0, -48296, 0, -6720, 0, -94602, 0, -26432, 0, -60918, 0, 9936, 0, 7962, 0, 12964, 0, 53298, 0, -1884, 0, 8800, 0, 14274, 0, 100444, 0, -19512, 0, 101496, 0, 20274, 0, -68096, 0, -216, 0, 42174, 0, 181364, 0, -4848, 0, 35954, 0, -101674, 0, 1512, 0, 1040, 0, -54336, 0, -46098, 0, -47934, 0, -6944, 0, -58266, 0, -29624, 0, -61476, 0, 27864, 0, -76834, 0, -71938, 0, -9144, 0, -3556, 0, -29692, 0, -19272, 0, 620, 0, 5616, 0, 5682, 0, -33326, 0, -165620, 0, 35856, 0, 224, 0, -30806, 0, -9120, 0, -94290, 0, 140320, 0, -312, 0, -73512, 0, 30656, 0, -45198, 0, 90136, 0, 40536, 0, -60468, 0, -2928, 0, -126530, 0, -2496, 0, 37624, 0, -2040, 0, -10962, 0, 41262, 0, 30744, 0, -4578, 0, -9360, 0, -137716, 0, 33384, 0, 141900, 0, 2880, 0, -2187, 0, -6512, 0, -26840, 0, 3384, 0, -16352, 0, -2197, 0, -48606, 0, -140752, 0, -136152, 0, -11772, 0, 3088, 0, -39307, 0, -2688, 0, 183442, 0, 21312, 0, -15984, 0, -16656, 0, 112426, 0, -4212, 0, 36624, 0, 10464, 0, -61446, 0, 12280, 0, -112, 0, -35136, 0, -95366, 0, 39352, 0, 5022, 0, 186702, 0, 52640, 0, 2976, 0, 17654, 0, -122180, 0, 24120, 0, -672, 0, 3612, 0, 19008, 0, 864, 0, 38608, 0, 23328, 0, 19262, 0, 40694, 0, 47466, 0, -110420, 0, -5668, 0, -360, 0, 68808, 0, 74454, 0, 4356, 0, -36584, 0, -183560, 0, -6504, 0, 18592, 0, -110418, 0, 648, 0, -194130, 0, -47772, 0, -21450, 0, 83058, 0, 22320, 0, -96894, 0, 116864, 0, -150520, 0, 25326, 0, -59152, 0, -40288, 0, -56208, 0, -9128, 0, -32120, 0, 49704, 0, 9204, 0, 4968, 0, 9288, 0, 188932, 0, -49504, 0, -9072, 0, 55276, 0, 148930, 0, -5556, 0, 7168, 0, 36916, 0, -1134, 0, -138478, 0, 7098, 0, -43080, 0, -98754, 0, -11960, 0, -122448, 0, -2424, 0, -1504, 0, 36396, 0, -4160, 0, -75040, 0, -24504, 0, -33696, 0, -34994, 0, -546, 0, -16296, 0, -149624, 0, 13176, 0, 1216, 0, 88146, 0, -13554, 0, -176538, 0, -3336, 0, -4572, 0, 90138, 0, 101441, 0, 9072, 0, 13416, 0, 2604, 0, 1524, 0, 211962, 0, 17568, 0, 960, 0, 142038, 0, -46200, 0, -13230, 0, 70014, 0, -66926, 0, 15174, 0, 26256, 0, -156, 0, -67692, 0, 52768, 0, -209882, 0, 16596, 0, -97494, 0, 2696, 0, -27408, 0, -58252, 0, -201856, 0, -20304, 0, -144, 0, -66272, 0, -1404, 0, -148726, 0, 4960, 0, -97752, 0, 336, 0, 12292, 0, -27864, 0, 42928, 0, -143846, 0, 1962, 0, -119388, 0, 115584, 0, 61758, 0, -45136, 0, 14816, 0, 138354, 0, -62784, 0, -92964, 0, 51894, 0, 40544, 0, 5388, 0, -5886, 0, -1176, 0, 93752, 0, 38088, 0, -10840, 0, 4030, 0, 12312, 0, -19368, 0, -41648, 0, -117690, 0, -11844, 0, 119418, 0, 72579, 0, 175054, 0, 22252, 0, -67212, 0, 109968, 0, -17568, 0, -2028, 0, -103400, 0, -79060, 0, -15924, 0, 99482, 0, -16720, 0, -11052, 0, 71190, 0, 246936, 0, 15480, 0, -4064, 0, 32694, 0, 56022, 0, -13260, 0, 10244, 0, -3888, 0, 11664, 0, -25120, 0, -125034, 0, -28272, 0, 22672, 0, -44220, 0, 21966, 0, 4704, 0, -3024, 0, 2032, 0, -42328, 0, -74946, 0, -177288, 0, -50398, 0, 16296, 0, -119682, 0, -40840, 0, -43893, 0, -29808, 0, -58440, 0, -7968, 0, 207466, 0, -25736, 0, -17472, 0, 8688, 0, -82166, 0, -16578, 0, 54360, 0, -2632, 0, -11232, 0, 238908, 0, 10044, 0, -3402, 0, -35252, 0, -3648, 0, 59472, 0, -728, 0, 14544, 0, -104850, 0, -47068, 0, 25980, 0, -9204, 0, 2436, 0, -36272, 0, -19800, 0, 205976, 0, -22468, 0, -42240, 0, -108474, 0, -4368, 0, 5856, 0, -21540, 0, 66180, 0, 486, 0, -27032, 0, 118898, 0, 27432, 0, 12648, 0, 174196, 0, 8496, 0, -49516, 0, -161874, 0, -2340, 0, 258368, 0, 2616, 0, 6384, 0, 202806, 0, -65532, 0, 6588, 0, -47032, 0, -40052, 0, -6768, 0, -196590, 0, 205750, 0, 6552, 0, 936, 0, -41580, 0, -74628, 0, 14664, 0, 59078, 0, 43362, 0, 79690, 0, -15420, 0, 154368, 0, -1360, 0, 480, 0, -1116, 0, 136788, 0, -59332, 0, -504, 0, -37632, 0, -202394, 0, -20928, 0, 255586, 0, -2016, 0, -93096, 0, -51072, 0, -4224, 0, -68976, 0, 21248, 0, 78284, 0, -36114, 0, -13704, 0, 139700, 0, -84366, 0, -89056, 0, -44216, 0, 5616, 0, -26540, 0, -15072, 0, -152460, 0, 256260, 0, -218672, 0, 35316, 0, -9776, 0, -31142, 0, 21060, 0, 122112, 0, 160088, 0, -144, 0, 21312, 0, -14921, 0, -17946, 0, -8596, 0, 40688, 0, 60390, 0, -206442, 0, 7904, 0, 60672, 0, 222578, 0, -5628, 0, -5040, 0, 105408, 0, 24466, 0, -1296, 0, 232374, 0, 19044, 0, 25434, 0, -127204, 0, -22024, 0, 9906, 0, -2064, 0, -93724, 0, 37476, 0, -9360, 0, 225218, 0, -122754, 0, -204930, 0, 48296, 0, -41664, 0, 3556, 0, -69984, 0, 252, 0, -1014, 0, -18720, 0, -9936, 0, 140202, 0, -84224, 0, 20061, 0, -80376, 0, 132416, 0, -6696, 0, 179850, 0, -8088, 0, 3720, 0, -152904, 0, -936, 0, -13872, 0, -230484, 0, 2976, 0, -1944, 0, -218342, 0, -77784, 0, 45900, 0, -2928, 0, -203498, 0, 4848, 0, 9760, 0, 342624, 0, 12753, 0, -286422, 0, 22484, 0, -58752, 0, 54336, 0, 28472, 0, -2016, 0, 253680, 0, 8148, 0, 14634, 0, 21888, 0, 29624, 0, -52746, 0, 35022, 0, -159166, 0, -12240, 0, -241576, 0, 2940, 0, 9144, 0, 274352, 0, -41312, 0, -11280, 0, 69840, 0, -288604, 0, 143712, 0, -2616, 0, -76986, 0, 90648, 0, -3688, 0, 129240, 0, -39072, 0, 2912, 0, 4578, 0, 133734, 0, 21336, 0, 78928, 0, -20898, 0, 218752, 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, 4, 0, -4, 0, 9, 0, -2, 0, -13, 0, -12, 0, -6, 0, 36, 0, 12, 0, 20, 0, -109, 0, -27, 0, -14, 0, 152, 0, 6, 0, -16, 0, -258, 0, 39, 0, 84, 0, 188, 0, 36, 0, -254, 0, -327, 0, 18, 0, 366, 0, -8, 0, -108, 0, -550, 0, -14, 0, -36, 0, -52, 0, -448, 0, -60, 0, -926, 0, 254, 0, 327, 0, 8, 0, -1328, 0, 81, 0, -186, 0, -24, 0, 42, 0, -336, 0, 52, 0, -456, 0, 144, 0, 614, 0, -18, 0, -1606, 0, -208, 0, 48, 0, 248, 0, -542, 0, 774, 0, -2042, 0, 80, 0, -117, 0, 24, 0, -1327, 0, -252, 0, -936, 0, 488, 0, -564, 0, -1744, 0, -144, 0, -108, 0, -828, 0, 404, 0, 762, 0, 26, 0, -56, 0, 981, 0, 2928, 0, -1944, 0, -54, 0, 608, 0, 3590, 0, -1098, 0, -80, 0, 2284, 0, 24, 0, -3174, 0, 169, 0, 324, 0, -1358, 0, 436, 0, 1650, 0, -708, 0, -546, 0, 42, 0, -1032, 0, 12, 0, 108, 0, 3472, 0, -310, 0, 156, 0, 1020, 0, 3256, 0, 1344, 0, 56, 0, 336, 0, 180, 0, -72, 0, 4564, 0, 2778, 0, 752, 0, -608, 0, -762, 0, 78, 0, 72, 0, -981, 0, -2694, 0, 5922, 0, -24, 0, -5122, 0, -1016, 0, 3984, 0, -5022, 0, -1218, 0, -243, 0, -1308, 0, -468, 0, 558, 0, 2112, 0, -40, 0, 72, 0, 2814, 0, 1032, 0, -126, 0, 4044, 0, 1464, 0, 1008, 0, -1470, 0, 1844, 0, -156, 0, 218, 0, 5766, 0, 1368, 0, -7468, 0, -1228, 0, -432, 0, -336, 0, -4877, 0, -1842, 0, 6608, 0, -2200, 0, 54, 0, -260, 0, -752, 0, 4818, 0, -56, 0, -7664, 0, 624, 0, 2340, 0, 6710, 0, -144, 0, 4164, 0, 28, 0, -744, 0, -216, 0, 1417, 0, 1626, 0, 1016, 0, 10072, 0, -2322, 0, -1792, 0, 2990, 0, 6126, 0, -304, 0, 2680, 0, -240, 0, -6564, 0, -674, 0, 351, 0, -10732, 0, -3704, 0, -72, 0, 4842, 0, -5563, 0, 3981, 0, 1016, 0, 6280, 0, 756, 0, -1464, 0, 6434, 0, 2808, 0, 182, 0, 9068, 0, -1464, 0, -3162, 0, 32, 0, 1692, 0, -3666, 0, -120, 0, 5232, 0, -5312, 0, 11054, 0, 432, 0, -5328, 0, -1976, 0, 324, 0, 516, 0, -12074, 0, 2484, 0, 2200, 0, -744, 0, -1212, 0, -13584, 0, -7406, 0, -2286, 0, 654, 0, 56, 0, -78, 0, 10134, 0, 9406, 0, 168, 0, 720, 0, -4088, 0, -2943, 0, 5328, 0, -1344, 0, -8784, 0, 13160, 0, -168, 0, 5832, 0, 208, 0, -9146, 0, 162, 0, 5580, 0, -14788, 0, -1824, 0, -12376, 0, 1792, 0, -10770, 0, -376, 0, -3924, 0, 3294, 0, -834, 0, 3354, 0, 240, 0, 2456, 0, 13192, 0, -6852, 0, -16568, 0, 84, 0, -72, 0, 3704, 0, 10136, 0, 9522, 0, -10412, 0, -6424, 0, -507, 0, -4180, 0, -1016, 0, -972, 0, -832, 0, 508, 0, 4074, 0, -14610, 0, 2172, 0, -1308, 0, -912, 0, -11767, 0, -4950, 0, -1092, 0, 992, 0, 2124, 0, 654, 0, -11758, 0, 1638, 0, -2168, 0, -340, 0, -126, 0, -504, 0, 5312, 0, 3096, 0, -3768, 0, -2444, 0, -36, 0, 10172, 0, -8168, 0, -324, 0, -5506, 0, -2340, 0, -10416, 0, -2180, 0, -20094, 0, 930, 0, 744, 0, -732, 0, -468, 0, 7118, 0, 5472, 0, -3060, 0, -10328, 0, 96, 0, -9768, 0, 19732, 0, -12026, 0, -4032, 0, -5308, 0, -17016, 0, -168, 0, 3302, 0, 11654, 0, -1008, 0, 11612, 0, -4024, 0, -540, 0, 1344, 0, 9881, 0, 216, 0, 1548, 0, 1088, 0, -13692, 0, 1952, 0, 4251, 0, -8334, 0, -7078, 0, -8336, 0, -2256, 0, -32, 0, 1100, 0, 1824, 0, -15822, 0, -6976, 0, 2286, 0, -21540, 0, 8270, 0, -234, 0, -576, 0, -280, 0, -216, 0, 28, 0, 8482, 0, 2943, 0, 2550, 0, -2456, 0, 8082, 0, 31534, 0, -3312, 0, -17766, 0, -4758, 0, -33832, 0, 72, 0, 1616, 0, -504, 0, 15366, 0, 19422, 0, -9288, 0, 3048, 0, 6424, 0, -1894, 0, -11952, 0, 3040, 0, 104, 0, 15066, 0, 20156, 0, 832, 0, 3654, 0, 1526, 0, -11128, 0, 729, 0, -1128, 0, 16202, 0, 3924, 0, 896, 0, 5328, 0, 1404, 0, 20482, 0, 11712, 0, -1674, 0, -992, 0, -8040, 0, -6336, 0, -7776, 0, -15822, 0, 120, 0, -1452, 0, 2168, 0, -216, 0, 7150, 0, 32298, 0, -8442, 0, 18736, 0, -16568, 0, -3096, 0, 3024, 0, 1852, 0, 378, 0, 14360, 0, 40816, 0, -12132, 0, 8168, 0, 182, 0, -4392, 0, 4518, 0, 1524, 0, -3024, 0, -508, 0, -320, 0, 4410, 0, -5058, 0, 22564, 0, -5532, 0, 9136, 0, 6768, 0, 468, 0, 32584, 0, 9288, 0, -654, 0, -20586, 0, -46118, 0, -17298, 0, 1962, 0, -12696, 0, -4104, 0, 39230, 0, -24193, 0, 22404, 0, 676, 0, 5308, 0, 3684, 0, -5160, 0, -18674, 0, 1296, 0, 41678, 0, 14740, 0, 1008, 0, 24982, 0, -5432, 0, 14631, 0, 2656, 0, 5824, 0, 5526, 0, 3744, 0, 1134, 0, -19824, 0, 34950, 0, 3068, 0, 6600, 0, 14080, 0, -1952, 0, -162, 0, -9144, 0, -2832, 0, 780, 0, -2128, 0, -2196, 0, 2256, 0, -2184, 0, 24876, 0, -14454, 0, -51456, 0, 372, 0, 168, 0, 6976, 0, 31032, 0, 22992, 0, 12038, 0, 28122, 0, -1872, 0, 50820, 0, -11772, 0, -7020, 0, 48, 0, 5982, 0, -20130, 0, -20224, 0, 1680, 0, 432, 0, -8478, 0, -3302, 0, -12492, 0, 40918, 0, 13888, 0, -84, 0, 3312, 0, -6687, 0, 2232, 0, -1240, 0, 4624, 0, 648, 0, -15300, 0, -1616, 0, -4251, 0, 19584, 0, 672, 0, -4878, 0, 17582, 0, 4080, 0, -3048, 0, 3760, 0, -47904, 0, -30216, 0, 13024, 0, -44578, 0, 6966, 0, -104, 0, 3300, 0, 5376, 0, 13176, 0, -31570, 0, -8970, 0, -7358, 0, 224, 0, -18378, 0, 15882, 0, 30, 0, 912, 0, -9156, 0, 17264, 0, -8040, 0, 31492, 0, 47206, 0, 720, 0, 84, 0, 8112, 0, 19692, 0, -11712, 0, -288, 0, 2022, 0, -45982, 0, 15208, 0, -1053, 0, 18256, 0, 7776, 0, 32196, 0, -34768, 0, 8288, 0, 11112, 0, -1228, 0, 19850, 0, 216, 0, 3612, 0, -20492, 0, -14526, 0, 2418, 0, -5080, 0, 16689, 0, -2432, 0, -34860, 0, -11943, 0, -66404, 0, -20798, 0, -3048, 0, -11384, 0, -14360, 0, -18840, 0, 41962, 0, 312, 0, -2268, 0, 25214, 0, 3212, 0, 4392, 0, 288, 0, -27482, 0, -19302, 0, -19800, 0, -21636, 0, -8424, 0, -6540, 0, 57566, 0, -546, 0, 416, 0, -10776, 0, -27204, 0, 2688, 0, -9136, 0, 4392, 0, 23688, 0, -39216, 0, 9486, 0, -25302, 0, 37114, 0, -96, 0, 4368, 0, -504, 0, -5076, 0, -32178, 0, -20488, 0, 10998, 0, 12696, 0, 8396, 0, 360, 0, 27686, 0, -496, 0, -15696, 0, -39440, 0, -676, 0, 15936, 0, -59612, 0, -1176, 0, -33162, 0, 33702, 0, -20088, 0, -1296, 0, 1084, 0, 62066, 0, 15984, 0, -4872, 0, 5556, 0, 5928, 0, 5432, 0, 11434, 0, -972, 0, -10016, 0, 7320, 0, -1548, 0, 12712, 0, 35643, 0, 36222, 0, 36924, 0, -65792, 0, -7452, 0, -1872, 0, -358, 0, -6600, 0, -1524, 0, 4084, 0, 2232, 0, -2632, 0, -57926, 0, 3636, 0, 2832, 0, 8448, 0, 40752, 0, -9830, 0, -7982, 0, 22218, 0, -160, 0, 2184, 0, 6858, 0, 12768, 0, -16128, 0, -1962, 0, -79626, 0, -55072, 0, -168, 0, -68808, 0, 11256, 0, 234, 0, 19272, 0, 90876, 0, -30402, 0, 4128, 0, -9250, 0, -28218, 0, -64530, 0, -37088, 0, -504, 0, -7778, 0, -48, 0, -2160, 0, 20878, 0, 16176, 0, 12264, 0, 47694, 0, -86222, 0, 8829, 0, -39894, 0, 66896, 0, -15984, 0, 5316, 0, 28576, 0, 4032, 0, -13888, 0, 2704, 0, 26352, 0, 7968, 0, -5880, 0, -39480, 0, -33336, 0, 1240, 0, 504, 0, 7376, 0, -11000, 0, -17496, 0, -52118, 0, 3556, 0, -624, 0, 54490, 0, 15911, 0, 27438, 0, -25824, 0, 1872, 0, -486, 0, -4080, 0, -37298, 0, -16740, 0, 23064, 0, 9144, 0, 44364, 0, -3224, 0, -13024, 0, 5472, 0, -976, 0, -22172, 0, 37128, 0, -280, 0, -29872, 0, -5376, 0, -4104, 0, 1116, 0, 32310, 0, -4912, 0, 7046, 0, 1128, 0, 4578, 0, -20296, 0, 11772, 0, -69816, 0, -97474, 0, -9882, 0, -97982, 0, -1344, 0, 2502, 0, -68652, 0, 3488, 0, -10062, 0, -19508, 0, 74600, 0, -720, 0, -1398, 0, 73222, 0, -7368, 0, -38608, 0, -91948, 0, -39576, 0, 288, 0, 26432, 0, 20556, 0, 26546, 0, 57948, 0, 49704, 0, 59950, 0, -18256, 0, -252, 0, 338, 0, 66532, 0, 216, 0, -32062, 0, 13342, 0, -11112, 0, -5536, 0, -1040, 0, -30408, 0, -68244, 0, -47808, 0, -28566, 0, -3008, 0, 1656, 0, 31236, 0, 57032, 0, 2016, 0, 19272, 0, -21672, 0, -49704, 0, 1521, 0, -25746, 0, 1526, 0, 12540, 0, -808, 0, -24316, 0, 3048, 0, -30656, 0, -5124, 0, 2916, 0, -8960, 0, 2952, 0, 2496, 0, -312, 0, 29126, 0, -1524, 0, 102976, 0, 9360, 0, -12222, 0, 44148, 0, -288, 0, 43830, 0, 26840, 0, -78524, 0, -6516, 0, -76910, 0, 17251, 0, 3924, 0, -6696, 0, 42988, 0, 2736, 0, -94308, 0, 16656, 0, 35301, 0, 10776, 0, -48504, 0, 14850, 0, 112, 0, 63650, 0, 3276, 0, -90812, 0, -23688, 0, -2976, 0, -71234, 0, 59078, 0, -6372, 0, 32138, 0, -864, 0, -1962, 0, -99506, 0, 402, 0, 35274, 0, 12168, 0, 46924, 0, -4914, 0, 20488, 0, -18520, 0, 6504, 0, 30654, 0, -5856, 0, 1020, 0, 55632, 0, 4064, 0, 378, 0, -3684, 0, -6344, 0, 1512, 0, 40288, 0, 51730, 0, -15936, 0, 3888, 0, -6136, 0, -9288, 0, -15924, 0, 83594, 0, 11304, 0, 20088, 0, 48832, 0, 7332, 0, 5080, 0, -61865, 0, 108, 0, 11960, 0, 4872, 0, -30516, 0, -12096, 0, 109030, 0, 24504, 0, 40200, 0, 7580, 0, 972, 0, 22672, 0, -1216, 0, 16518, 0, -79804, 0, 7700, 0, 7020, 0, 10720, 0, 9636, 0, 31248, 0, -58028, 0, 132648, 0, 6540, 0, -7180, 0, 1872, 0, 60282, 0, 78618, 0, -26256, 0, -2790, 0, 65532, 0, -10790, 0, -2232, 0, -2696, 0, -25744, 0, 2196, 0, 1248, 0, -46746, 0, 1404, 0, -8448, 0, 57544, 0, -21354, 0, 15792, 0, -42928, 0, -16416, 0, 196, 0, 160, 0, 9180, 0, 100934, 0, -42082, 0, 30984, 0, 10764, 0, 99132, 0, -288, 0, 23306, 0, 34470, 0, 29304, 0, -4568, 0, 19368, 0, -59196, 0, -11256, 0, 134866, 0, 36078, 0, -22252, 0, -5252, 0, 12096, 0, 121608, 0, 84366, 0, 15924, 0, -26560, 0, -1488, 0, 51048, 0, -68080, 0, -27686, 0, 504, 0, -83600, 0, 34812, 0, -9906, 0, 25120, 0, 6348, 0, -34962, 0, -16176, 0, 22104, 0, 3024, 0, -124360, 0, -44163, 0, -34836, 0, 3252, 0, -5856, 0, 12072, 0, -338, 0, 45974, 0, 1620, 0, 25736, 0, 7104, 0, -4032, 0, 39520, 0, 129950, 0, -29643, 0, 143680, 0, 10864, 0, -648, 0, 5880, 0, 728, 0, -4644, 0, 23758, 0, -2128, 0, -3264, 0, 36272, 0, -7376, 0, 41076, 0, 32382, 0, 2716, 0, -5856, 0, -71356, 0, -3720, 0, -12753, 0, 9600, 0, -12648, 0, 25002, 0, -57816, 0, 12252, 0, 21234, 0, -872, 0, -21336, 0, 25008, 0, -18958, 0, -47594, 0, 6768, 0, -38064, 0, -23064, 0, 96, 0, 6272, 0, -14664, 0, -3300, 0, 63726, 0, -85152, 0, -5472, 0, -480, 0, -7488, 0, 47466, 0, -94428, 0, 25272, 0, 20928, 0, 29872, 0, 1416, 0, -6858, 0, -103058, 0, 144752, 0, 64620, 0, -31628, 0, 4912, 0, -24810, 0, 44216, 0, -14432, 0, 702, 0, 1092, 0, 39722, 0, 1728, 0, 118996, 0, 73080, 0, 840, 0, -100492, 0, -21312, 0, 648, 0, -27468, 0, 75284, 0, -84, 0, -7904, 0, -115018, 0, -25446, 0, -47752, 0, 19508, 0, -8829, 0, 50596, 0, 74934, 0, -7650, 0, 8928, 0, 2064, 0, 7368, 0, -97970, 0, -46670, 0, -24246, 0, -48296, 0, -6720, 0, -94602, 0, -26432, 0, -60918, 0, 9936, 0, 7962, 0, 12964, 0, 53298, 0, -1884, 0, 8800, 0, 14274, 0, 100444, 0, -19512, 0, 101496, 0, 20274, 0, -68096, 0, -216, 0, 42174, 0, 181364, 0, -4848, 0, 35954, 0, -101674, 0, 1512, 0, 1040, 0, -54336, 0, -46098, 0, -47934, 0, -6944, 0, -58266, 0, -29624, 0, -61476, 0, 27864, 0, -76834, 0, -71938, 0, -9144, 0, -3556, 0, -29692, 0, -19272, 0, 620, 0, 5616, 0, 5682, 0, -33326, 0, -165620, 0, 35856, 0, 224, 0, -30806, 0, -9120, 0, -94290, 0, 140320, 0, -312, 0, -73512, 0, 30656, 0, -45198, 0, 90136, 0, 40536, 0, -60468, 0, -2928, 0, -126530, 0, -2496, 0, 37624, 0, -2040, 0, -10962, 0, 41262, 0, 30744, 0, -4578, 0, -9360, 0, -137716, 0, 33384, 0, 141900, 0, 2880, 0, -2187, 0, -6512, 0, -26840, 0, 3384, 0, -16352, 0, -2197, 0, -48606, 0, -140752, 0, -136152, 0, -11772, 0, 3088, 0, -39307, 0, -2688, 0, 183442, 0, 21312, 0, -15984, 0, -16656, 0, 112426, 0, -4212, 0, 36624, 0, 10464, 0, -61446, 0, 12280, 0, -112, 0, -35136, 0, -95366, 0, 39352, 0, 5022, 0, 186702, 0, 52640, 0, 2976, 0, 17654, 0, -122180, 0, 24120, 0, -672, 0, 3612, 0, 19008, 0, 864, 0, 38608, 0, 23328, 0, 19262, 0, 40694, 0, 47466, 0, -110420, 0, -5668, 0, -360, 0, 68808, 0, 74454, 0, 4356, 0, -36584, 0, -183560, 0, -6504, 0, 18592, 0, -110418, 0, 648, 0, -194130, 0, -47772, 0, -21450, 0, 83058, 0, 22320, 0, -96894, 0, 116864, 0, -150520, 0, 25326, 0, -59152, 0, -40288, 0, -56208, 0, -9128, 0, -32120, 0, 49704, 0, 9204, 0, 4968, 0, 9288, 0, 188932, 0, -49504, 0, -9072, 0, 55276, 0, 148930, 0, -5556, 0, 7168, 0, 36916, 0, -1134, 0, -138478, 0, 7098, 0, -43080, 0, -98754, 0, -11960, 0, -122448, 0, -2424, 0, -1504, 0, 36396, 0, -4160, 0, -75040, 0, -24504, 0, -33696, 0, -34994, 0, -546, 0, -16296, 0, -149624, 0, 13176, 0, 1216, 0, 88146, 0, -13554, 0, -176538, 0, -3336, 0, -4572, 0, 90138, 0, 101441, 0, 9072, 0, 13416, 0, 2604, 0, 1524, 0, 211962, 0, 17568, 0, 960, 0, 142038, 0, -46200, 0, -13230, 0, 70014, 0, -66926, 0, 15174, 0, 26256, 0, -156, 0, -67692, 0, 52768, 0, -209882, 0, 16596, 0, -97494, 0, 2696, 0, -27408, 0, -58252, 0, -201856, 0, -20304, 0, -144, 0, -66272, 0, -1404, 0, -148726, 0, 4960, 0, -97752, 0, 336, 0, 12292, 0, -27864, 0, 42928, 0, -143846, 0, 1962, 0, -119388, 0, 115584, 0, 61758, 0, -45136, 0, 14816, 0, 138354, 0, -62784, 0, -92964, 0, 51894, 0, 40544, 0, 5388, 0, -5886, 0, -1176, 0, 93752, 0, 38088, 0, -10840, 0, 4030, 0, 12312, 0, -19368, 0, -41648, 0, -117690, 0, -11844, 0, 119418, 0, 72579, 0, 175054, 0, 22252, 0, -67212, 0, 109968, 0, -17568, 0, -2028, 0, -103400, 0, -79060, 0, -15924, 0, 99482, 0, -16720, 0, -11052, 0, 71190, 0, 246936, 0, 15480, 0, -4064, 0, 32694, 0, 56022, 0, -13260, 0, 10244, 0, -3888, 0, 11664, 0, -25120, 0, -125034, 0, -28272, 0, 22672, 0, -44220, 0, 21966, 0, 4704, 0, -3024, 0, 2032, 0, -42328, 0, -74946, 0, -177288, 0, -50398, 0, 16296, 0, -119682, 0, -40840, 0, -43893, 0, -29808, 0, -58440, 0, -7968, 0, 207466, 0, -25736, 0, -17472, 0, 8688, 0, -82166, 0, -16578, 0, 54360, 0, -2632, 0, -11232, 0, 238908, 0, 10044, 0, -3402, 0, -35252, 0, -3648, 0, 59472, 0, -728, 0, 14544, 0, -104850, 0, -47068, 0, 25980, 0, -9204, 0, 2436, 0, -36272, 0, -19800, 0, 205976, 0, -22468, 0, -42240, 0, -108474, 0, -4368, 0, 5856, 0, -21540, 0, 66180, 0, 486, 0, -27032, 0, 118898, 0, 27432, 0, 12648, 0, 174196, 0, 8496, 0, -49516, 0, -161874, 0, -2340, 0, 258368, 0, 2616, 0, 6384, 0, 202806, 0, -65532, 0, 6588, 0, -47032, 0, -40052, 0, -6768, 0, -196590, 0, 205750, 0, 6552, 0, 936, 0, -41580, 0, -74628, 0, 14664, 0, 59078, 0, 43362, 0, 79690, 0, -15420, 0, 154368, 0, -1360, 0, 480, 0, -1116, 0, 136788, 0, -59332, 0, -504, 0, -37632, 0, -202394, 0, -20928, 0, 255586, 0, -2016, 0, -93096, 0, -51072, 0, -4224, 0, -68976, 0, 21248, 0, 78284, 0, -36114, 0, -13704, 0, 139700, 0, -84366, 0, -89056, 0, -44216, 0, 5616, 0, -26540, 0, -15072, 0, -152460, 0, 256260, 0, -218672, 0, 35316, 0, -9776, 0, -31142, 0, 21060, 0, 122112, 0, 160088, 0, -144, 0, 21312, 0, -14921, 0, -17946, 0, -8596, 0, 40688, 0, 60390, 0, -206442, 0, 7904, 0, 60672, 0, 222578, 0, -5628, 0, -5040, 0, 105408, 0, 24466, 0, -1296, 0, 232374, 0, 19044, 0, 25434, 0, -127204, 0, -22024, 0, 9906, 0, -2064, 0, -93724, 0, 37476, 0, -9360, 0, 225218, 0, -122754, 0, -204930, 0, 48296, 0, -41664, 0, 3556, 0, -69984, 0, 252, 0, -1014, 0, -18720, 0, -9936, 0, 140202, 0, -84224, 0, 20061, 0, -80376, 0, 132416, 0, -6696, 0, 179850, 0, -8088, 0, 3720, 0, -152904, 0, -936, 0, -13872, 0, -230484, 0, 2976, 0, -1944, 0, -218342, 0, -77784, 0, 45900, 0, -2928, 0, -203498, 0, 4848, 0, 9760, 0, 342624, 0, 12753, 0, -286422, 0, 22484, 0, -58752, 0, 54336, 0, 28472, 0, -2016, 0, 253680, 0, 8148, 0, 14634, 0, 21888, 0, 29624, 0, -52746, 0, 35022, 0, -159166, 0, -12240, 0, -241576, 0, 2940, 0, 9144, 0, 274352, 0, -41312, 0, -11280, 0, 69840, 0, -288604, 0, 143712, 0, -2616, 0, -76986, 0, 90648, 0, -3688, 0, 129240, 0, -39072, 0, 2912, 0, 4578, 0, 133734, 0, 21336, 0, 78928, 0, -20898, 0, 218752, 0]}