# Stored data for newform 1764.4.a.k, downloaded from the LMFDB on 08 December 2024. {"Nk2": 28224, "analytic_conductor": 104.07936925012645, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [7, -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": [1764, 1, [883, 785, 1081], [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, [-6, 1]], [11, [-12, 1]], [13, [-82, 1]]], "hecke_orbit": 11, "hecke_orbit_code": 45035996340815588, "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": "1764.4.a.k", "level": 1764, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [2, 3, 7], "level_radical": 42, "minimal_twist": "28.4.a.b", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+6q^{5}+12q^{11}+82q^{13}-30q^{17}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1764.4.a", "trace_display": [0, 0, 6, 0], "trace_hash": 1405597475156012574, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.966", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.927", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.857", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.003", "prec": 17}, "traces": [0, 1, 0, 0, 0, 6, 0, 0, 0, 0, 0, 12, 0, 82, 0, 0, 0, -30, 0, -68, 0, 0, 0, -216, 0, -89, 0, 0, 0, -246, 0, 112, 0, 0, 0, 0, 0, 110, 0, 0, 0, -246, 0, -172, 0, 0, 0, 192, 0, 0, 0, 0, 0, -558, 0, 72, 0, 0, 0, 540, 0, -110, 0, 0, 0, 492, 0, 140, 0, 0, 0, 840, 0, 550, 0, 0, 0, 0, 0, -208, 0, 0, 0, 516, 0, -180, 0, 0, 0, -1398, 0, 0, 0, 0, 0, -408, 0, -1586, 0, 0, 0, -1242, 0, -680, 0, 0, 0, -996, 0, 1382, 0, 0, 0, 750, 0, -1296, 0, 0, 0, 0, 0, -1187, 0, 0, 0, -1284, 0, 176, 0, 0, 0, -1548, 0, 0, 0, 0, 0, -378, 0, 2500, 0, 0, 0, 984, 0, -1476, 0, 0, 0, -846, 0, -2536, 0, 0, 0, 672, 0, 1186, 0, 0, 0, 0, 0, 2108, 0, 0, 0, -1944, 0, 4527, 0, 0, 0, -1362, 0, 0, 0, 0, 0, -1596, 0, 1690, 0, 0, 0, 660, 0, -360, 0, 0, 0, -3552, 0, -2686, 0, 0, 0, 1410, 0, 2968, 0, 0, 0, 0, 0, -1476, 0, 0, 0, -816, 0, -1348, 0, 0, 0, -1032, 0, 0, 0, 0, 0, -2460, 0, -3872, 0, 0, 0, 5364, 0, 874, 0, 0, 0, -378, 0, 1152, 0, 0, 0, -1920, 0, -4322, 0, 0, 0, 0, 0, -5576, 0, 0, 0, 5292, 0, -2592, 0, 0, 0, -5118, 0, 0, 0, 0, 0, -3768, 0, -3348, 0, 0, 0, 3918, 0, -4880, 0, 0, 0, -1068, 0, -3538, 0, 0, 0, 5430, 0, 6436, 0, 0, 0, 0, 0, -4013, 0, 0, 0, 1350, 0, 3240, 0, 0, 0, -17712, 0, 0, 0, 0, 0, -660, 0, -3332, 0, 0, 0, -4728, 0, -5114, 0, 0, 0, -7206, 0, -2952, 0, 0, 0, 2040, 0, -7298, 0, 0, 0, 0, 0, 6260, 0, 0, 0, 840, 0, -5326, 0, 0, 0, 1344, 0, 0, 0, 0, 0, -36, 0, -3134, 0, 0, 0, 1218, 0, 5040, 0, 0, 0, 10008, 0, -2235, 0, 0, 0, 3300, 0, 1072, 0, 0, 0, 0, 0, -274, 0, 0, 0, -20172, 0, 7652, 0, 0, 0, 2160, 0, 0, 0, 0, 0, 1074, 0, 6480, 0, 0, 0, -1248, 0, -6926, 0, 0, 0, -1938, 0, 9184, 0, 0, 0, 1320, 0, 9574, 0, 0, 0, 0, 0, 3096, 0, 0, 0, -5052, 0, 3422, 0, 0, 0, 2670, 0, 0, 0, 0, 0, -2208, 0, 6814, 0, 0, 0, 14688, 0, -12584, 0, 0, 0, -6996, 0, -8388, 0, 0, 0, -9474, 0, -2952, 0, 0, 0, 0, 0, 5786, 0, 0, 0, 3438, 0, 9392, 0, 0, 0, -4956, 0, 0, 0, 0, 0, -2064, 0, 6052, 0, 0, 0, -20592, 0, 9020, 0, 0, 0, -9516, 0, -13432, 0, 0, 0, 14172, 0, 7380, 0, 0, 0, 0, 0, -5956, 0, 0, 0, 16968, 0, -7452, 0, 0, 0, 5214, 0, 0, 0, 0, 0, -4080, 0, 2304, 0, 0, 0, -1398, 0, 18580, 0, 0, 0, -3360, 0, 34489, 0, 0, 0, -20172, 0, -5976, 0, 0, 0, 0, 0, -18970, 0, 0, 0, 8292, 0, -16036, 0, 0, 0, 16728, 0, 0, 0, 0, 0, -8310, 0, -14104, 0, 0, 0, 7092, 0, 4500, 0, 0, 0, 7158, 0, 6500, 0, 0, 0, 19224, 0, -21794, 0, 0, 0, 0, 0, -6696, 0, 0, 0, 9756, 0, -7616, 0, 0, 0, 5586, 0, 0, 0, 0, 0, 24, 0, -4298, 0, 0, 0, -7122, 0, -8480, 0, 0, 0, 15744, 0, -1906, 0, 0, 0, -7482, 0, 7348, 0, 0, 0, 0, 0, 3421, 0, 0, 0, -3300, 0, 4520, 0, 0, 0, 1056, 0, 0, 0, 0, 0, 19806, 0, 5020, 0, 0, 0, 28392, 0, 6480, 0, 0, 0, 17562, 0, -9288, 0, 0, 0, -4716, 0, 22762, 0, 0, 0, 0, 0, 53136, 0, 0, 0, -1320, 0, 4802, 0, 0, 0, 21558, 0, 0, 0, 0, 0, -3780, 0, -2268, 0, 0, 0, -45756, 0, 5500, 0, 0, 0, 15000, 0, 7380, 0, 0, 0, -10230, 0, -7480, 0, 0, 0, 0, 0, 10190, 0, 0, 0, -24192, 0, 5904, 0, 0, 0, 9408, 0, 0, 0, 0, 0, 21894, 0, 33064, 0, 0, 0, 5160, 0, 6322, 0, 0, 0, 1680, 0, -20740, 0, 0, 0, -32040, 0, -5076, 0, 0, 0, 0, 0, -12832, 0, 0, 0, -15216, 0, -19906, 0, 0, 0, 10842, 0, 0, 0, 0, 0, 44280, 0, -28274, 0, 0, 0, -32346, 0, -9968, 0, 0, 0, 16728, 0, 10080, 0, 0, 0, 7116, 0, -30116, 0, 0, 0, 0, 0, -9020, 0, 0, 0, -6594, 0, -5760, 0, 0, 0, 6600, 0, 0, 0, 0, 0, 43014, 0, 14164, 0, 0, 0, 12648, 0, 11696, 0, 0, 0, -34830, 0, 31016, 0, 0, 0, -9876, 0, 3154, 0, 0, 0, 0, 0, -11664, 0, 0, 0, 36936, 0, 36127, 0, 0, 0, 27162, 0, 0, 0, 0, 0, -23760, 0, -9638, 0, 0, 0, 10266, 0, 4084, 0, 0, 0, 192, 0, -8172, 0, 0, 0, -2496, 0, 11480, 0, 0, 0, 0, 0, 19910, 0, 0, 0, 14802, 0, -32548, 0, 0, 0, 1464, 0, 0, 0, 0, 0, -13056, 0, -9576, 0, 0, 0, -27552, 0, 16740, 0, 0, 0, 10140, 0, -49564, 0, 0, 0, -8448, 0, 6192, 0, 0, 0, 0, 0, 14600, 0, 0, 0, 68880, 0, -9790, 0, 0, 0, -21102, 0, 0, 0, 0, 0, -2160, 0, 20806, 0, 0, 0, 24510, 0, 53136, 0, 0, 0, 44148, 0, 45100, 0, 0, 0, -27114, 0, -21312, 0, 0, 0, 0, 0, -17247, 0, 0, 0, -16116, 0, -10264, 0, 0, 0, 51468, 0, 0, 0, 0, 0, 23790, 0, -16776, 0, 0, 0, 26424, 0, 8460, 0, 0, 0, 37152, 0, 39488, 0, 0, 0, 17808, 0, -30854, 0, 0, 0, 0, 0, -16200, 0, 0, 0, 37944, 0, -19246, 0, 0, 0, 43782, 0, 0, 0, 0, 0, -62676, 0, -42302, 0, 0, 0, 21894, 0, -17056, 0, 0, 0, 19272, 0, -52198, 0, 0, 0, 3300, 0, 38080, 0, 0, 0, 0, 0, -4896, 0, 0, 0, -62742, 0, 22964, 0, 0, 0, -8088, 0, 0, 0, 0, 0, 25650, 0, 48904, 0, 0, 0, -19032, 0, 21250, 0, 0, 0, -27060, 0, 15308, 0, 0, 0, 42312, 0, -41472, 0, 0, 0, 0, 0, -37168, 0, 0, 0, -1500, 0, 11630, 0, 0, 0, -5766, 0, 0, 0, 0, 0, 5568, 0, -14760, 0, 0, 0, -42042, 0, -14904, 0, 0, 0, -23232, 0, -1114, 0, 0, 0, -36720, 0, 62476, 0, 0, 0, 0, 0, 39194, 0, 0, 0, -8160, 0, 32184, 0, 0, 0, -4200, 0, 0, 0, 0, 0, 5244, 0, 12320, 0, 0, 0, -16944, 0, -38498, 0, 0, 0, -114636, 0, 7480, 0, 0, 0, 15516, 0, -2268, 0, 0, 0, 0, 0, 34940, 0, 0, 0, -17088, 0, -11952, 0, 0, 0, -13218, 0, 0, 0, 0, 0, 17556, 0, 60516, 0, 0, 0, -7782, 0, -11520, 0, 0, 0, 16584, 0, 12434, 0, 0, 0, -25932, 0, -25200, 0, 0, 0, 0, 0, 25238, 0, 0, 0, -35838, 0, 120528, 0, 0, 0, -83496, 0, 0, 0, 0, 0, 43338, 0, 53632, 0, 0, 0, -33456, 0, -27542, 0, 0, 0, -16500, 0, 9000, 0, 0, 0, 42312, 0, 2590, 0, 0, 0, 0, 0, 31752, 0, 0, 0, -15924, 0, -130052, 0, 0, 0, -15552, 0, 0, 0, 0, 0, -27552, 0, -9520, 0, 0, 0, -3474, 0, -48080, 0, 0, 0, 61956, 0, -30708, 0, 0, 0, 8742, 0, 53764, 0, 0, 0, 0, 0, -26926, 0, 0, 0, -61770, 0, -27880, 0, 0, 0, 17820, 0, 0, 0, 0, 0, -101844, 0, -22608, 0, 0, 0, 42168, 0, -14954, 0, 0, 0, 49662, 0, 47504, 0, 0, 0, -30216, 0, -19264, 0, 0, 0, 0, 0, -55760, 0, 0, 0, 6240, 0, 23508, 0, 0, 0, -57120, 0, 0, 0, 0, 0, -29280, 0, -116640, 0, 0, 0, 68706, 0, -47232, 0, 0, 0, -50664, 0, -38553, 0, 0, 0, 75498, 0, -15408, 0, 0, 0, 0, 0, -80146, 0, 0, 0, -21228, 0, -37400, 0, 0, 0, -81672, 0, 0, 0, 0, 0, 2112, 0, -63272, 0, 0, 0, 23760, 0, 32580, 0, 0, 0, -39810, 0, -15480, 0, 0, 0, 38616, 0, 113324, 0, 0, 0, 0, 0, 55712, 0, 0, 0, 66756, 0, 63614, 0, 0, 0, 78282, 0, 0, 0, 0, 0, -42000, 0, -18576, 0, 0, 0, -24078, 0, 45160, 0, 0, 0, 64812, 0, -10618, 0, 0, 0, 21504, 0, -103412, 0, 0, 0, 0, 0, 8100, 0, 0, 0, 61500, 0, -83008, 0, 0, 0, -48060, 0, 0, 0, 0, 0, -104730, 0, 34612, 0, 0, 0, 61392, 0, 83614, 0, 0, 0, -70350, 0, -106272, 0, 0, 0, -14004, 0, 14144, 0, 0, 0, 0, 0, -4536, 0, 0, 0, -1800, 0, 41940, 0, 0, 0, -27060, 0, 0, 0, 0, 0, 28884, 0, 9790, 0, 0, 0, 30000, 0, -114812, 0, 0, 0, -19992, 0, 137268, 0, 0, 0, -30240, 0, 32392, 0, 0, 0, 0, 0, 7094, 0, 0, 0, 90354, 0, -28368, 0, 0, 0, -62376, 0, 0, 0, 0, 0, -30684, 0, 5536, 0, 0, 0, 12948, 0, -97334, 0, 0, 0, -35088, 0, -38284, 0, 0, 0, 88656, 0, -43236, 0, 0, 0, 0, 0, -18920, 0, 0, 0, -17712, 0, 112646, 0, 0, 0, -60702, 0, 0, 0, 0, 0, -49176, 0, 85414, 0, 0, 0, 19614, 0, 12240, 0, 0, 0, -60828, 0, -122242, 0, 0, 0, -105288, 0, 60916, 0, 0, 0, 0, 0, -181440, 0, 0, 0, -36762, 0, -10152, 0, 0, 0, -62496, 0, 0, 0, 0, 0, 47580, 0, 14432, 0, 0, 0, 37560, 0, 63430, 0, 0, 0, -30432, 0, 23792, 0, 0, 0, 3588, 0, 48442, 0, 0, 0, 0, 0, -12460, 0, 0, 0, -118800, 0, -8405, 0, 0, 0, -31956, 0, 0, 0, 0, 0, 95064, 0, -34382, 0, 0, 0, -107406, 0, -80420, 0, 0, 0, -126936, 0, 8064, 0, 0, 0, 16362, 0, -132840, 0, 0, 0, 0, 0, 37260, 0, 0, 0, -108822, 0, 49556, 0, 0, 0, 14232, 0, 0, 0, 0, 0, 55314, 0, -216, 0, 0, 0, 21120, 0, -11918, 0, 0, 0, -18804, 0, -104884, 0, 0, 0, 20400, 0, 18454, 0, 0, 0, 0, 0, 39056, 0, 0, 0, 42312, 0, 7308, 0, 0, 0, 27060, 0, 0, 0, 0, 0, -74760, 0, -13970, 0, 0, 0, -30996, 0, 65176, 0, 0, 0, 15324, 0, 88358, 0, 0, 0, 25296, 0, 60048, 0, 0, 0, 0, 0, 150362, 0, 0, 0, -13410, 0, 205000, 0, 0, 0, -31164, 0, 0, 0, 0, 0, 44928, 0, 29880, 0, 0, 0, 88032, 0, -48950, 0, 0, 0, 60480, 0, -328, 0, 0, 0, 6432, 0, -23328, 0, 0, 0, 0, 0, 107848, 0, 0, 0, -18504, 0, -49923, 0, 0, 0, -41460, 0, 0, 0, 0, 0, 54324, 0, -12902, 0, 0, 0, -1644, 0, 118132, 0, 0, 0, 112320, 0, -106894, 0, 0, 0, 101586, 0, 37480, 0, 0, 0, 0, 0, -121032, 0, 0, 0, 65154, 0, -12320, 0, 0, 0, 45912, 0, 0, 0, 0, 0, -72726, 0, -16344, 0, 0, 0, -140700, 0, -111456, 0, 0, 0, 122454, 0, 12960, 0, 0, 0, 84456, 0, -22500, 0, 0, 0, 0, 0, -47232, 0, 0, 0, 31692, 0, -39850, 0, 0, 0, -69372, 0, 0, 0, 0, 0, -34440, 0, 6444, 0, 0, 0, 110334, 0, -27584, 0, 0, 0, 38880, 0, 46240, 0, 0, 0, -61380, 0, -207952, 0, 0, 0, 0, 0, -19152, 0, 0, 0, -45786, 0, 18512, 0, 0, 0, 80364, 0, 0, 0, 0, 0, -41556, 0, -63044, 0, 0, 0, 20280, 0, -30314, 0, 0, 0, 100026, 0, 2864, 0, 0, 0, -61548, 0, -11628, 0, 0, 0, 0, 0, -144124, 0, 0, 0, 55104, 0, -90238, 0, 0, 0, -33024, 0, 0, 0, 0, 0, -120084, 0, -48734, 0, 0, 0, 67728, 0, 7920, 0, 0, 0, -159384, 0, 97252, 0, 0, 0, 57444, 0, 301968, 0, 0, 0, 0, 0, 134078, 0, 0, 0, 35610, 0, -206640, 0, 0, 0, -32976, 0, 0, 0, 0, 0, 81474, 0, -93976, 0, 0, 0, -45924, 0, 15680, 0, 0, 0, -66690, 0, 74972, 0, 0, 0, -80376, 0, -127610, 0, 0, 0, 0, 0, -30312, 0, 0, 0, 95604, 0, -42624, 0, 0, 0, 20532, 0, 0, 0, 0, 0, 100800, 0, -58562, 0, 0, 0, -135300, 0, 172856, 0, 0, 0, -32232, 0, 38520, 0, 0, 0, 16206, 0, -36692, 0, 0, 0, 0, 0, -72022, 0, 0, 0, -98610, 0, -60256, 0, 0, 0, -51000, 0, 0, 0, 0, 0, 70086, 0, -13248, 0, 0, 0, -5280, 0, 46366, 0, 0, 0, 40884, 0, 16920, 0, 0, 0, -159408, 0, 137268, 0, 0, 0, 0, 0, 63164, 0, 0, 0, 59400, 0, 88128, 0, 0, 0, 35616, 0, 0, 0, 0, 0, -75504, 0, 191060, 0, 0, 0, 94080, 0, 3652, 0, 0, 0, -71664, 0, -66959, 0, 0, 0, -32622, 0, -41976, 0, 0, 0, 0, 0, 34934, 0, 0, 0, 124422, 0, 46440, 0, 0, 0, 342576, 0, 0, 0, 0, 0, -60150, 0, -5168, 0, 0, 0, -98940, 0, -56844, 0, 0, 0, -111684, 0, 66116, 0, 0, 0, -17712, 0, -12100, 0, 0, 0, 0, 0, 61600, 0, 0, 0, 53724, 0, -172618, 0, 0, 0, 74178, 0, 0, 0, 0, 0, 95976, 0, 176806, 0, 0, 0, 34716, 0, -153632, 0, 0, 0, 51168, 0, -24562, 0, 0, 0, -146442, 0, 80716, 0, 0, 0, 0, 0, 20628, 0, 0, 0, -52458, 0, 148376, 0, 0, 0, 56352, 0, 0, 0, 0, 0, -16176, 0, 268272, 0, 0, 0, -130872, 0, 11340, 0, 0, 0, 164010, 0, -29736, 0, 0, 0, 22212, 0, -98678, 0, 0, 0, 0, 0, 45236, 0, 0, 0, -227376, 0, 138580, 0, 0, 0, 125046, 0, 0, 0, 0, 0, -75000, 0, -12384, 0, 0, 0, 146880, 0, 122236, 0, 0, 0, 87312, 0, -61990, 0, 0, 0, 123018, 0, 22336, 0, 0, 0, 0, 0, 112622, 0, 0, 0, -168918, 0, -123552, 0, 0, 0, 227856, 0, 0, 0, 0, 0, 54120, 0, -126936, 0, 0, 0, -64596, 0, -11968, 0, 0, 0, 113646, 0, -132840, 0, 0, 0, -28536, 0, 141154, 0, 0, 0, 0, 0, -29520, 0, 0, 0, -80592, 0, 105374, 0, 0, 0, 142938, 0, 0, 0, 0, 0, 86112, 0, -23296, 0, 0, 0, -46464, 0, 85032, 0, 0, 0, -64020, 0, 215136, 0, 0, 0, 44280, 0, -40436, 0, 0, 0, 0, 0, 44282, 0, 0, 0, 131886, 0, 15400, 0, 0, 0, -291264, 0, 0, 0, 0, 0, 105264, 0, -107136, 0, 0, 0, -35736, 0, 64368, 0, 0, 0, 27060, 0, 65960, 0, 0, 0, -298512, 0, -220252, 0, 0, 0, 0, 0, 101808, 0, 0, 0, 10488, 0, -138166, 0, 0, 0, 110538, 0, 0, 0, 0, 0, 220116, 0, 25380, 0, 0, 0, -92880, 0, -26588, 0, 0, 0, 124368, 0, 31284, 0, 0, 0, -38766, 0, 130360, 0, 0, 0, 0, 0, 157382, 0, 0, 0, 115620, 0, -4536, 0, 0, 0, 76080, 0, 0, 0, 0, 0, 57792, 0, 60520, 0, 0, 0, -89148, 0, 343908, 0, 0, 0, 13824, 0, 243376, 0, 0, 0, 82992, 0, -187490, 0, 0, 0, 0, 0, -162000, 0, 0, 0, 25704, 0, -8388, 0, 0, 0, -40734, 0, 0, 0, 0, 0, 111480, 0, -91322, 0, 0, 0, -169122, 0, 18920, 0, 0, 0, 92400, 0, -23040, 0, 0, 0, 212262, 0, -20160, 0, 0, 0, 0, 0, -170000, 0, 0, 0, 206934, 0, -113848, 0, 0, 0, -51864, 0, 0, 0, 0, 0, 14046, 0, -22916, 0, 0, 0, 195192, 0, -121032, 0, 0, 0, -35580, 0, -19888, 0, 0, 0, 88644, 0, -13142, 0, 0, 0, 0, 0, -5548, 0, 0, 0, -106416, 0, -56062, 0, 0, 0, 113286, 0, 0, 0, 0, 0, -240900, 0, 60500, 0, 0, 0, -113820, 0, 10348, 0, 0, 0, 14760, 0, -39382, 0, 0, 0, -66912, 0, -160976, 0, 0, 0, 0, 0, -122998, 0, 0, 0, 229866, 0, 189284, 0, 0, 0, -96216, 0, 0, 0, 0, 0, 14274, 0, -110536, 0, 0, 0, -34440, 0, -74414, 0, 0, 0, 257022, 0, 100368, 0, 0, 0, -156576, 0, 63504, 0, 0, 0, 0, 0, -49552, 0, 0, 0, -63240, 0, 103680, 0, 0, 0, -118758, 0, 0, 0, 0, 0, 256392, 0, -49860, 0, 0, 0, 109398, 0, -120680, 0, 0, 0, -84624, 0, -187594, 0, 0, 0, 200814, 0, -260852, 0, 0, 0, 0, 0, 162487, 0, 0, 0, 390156, 0, 42552, 0, 0, 0, 178404, 0, 0, 0, 0, 0, -66750, 0, -61416, 0, 0, 0, 57528, 0, 31246, 0, 0, 0, -51390, 0, 58320, 0, 0, 0, 63036, 0, 42948, 0, 0, 0, 0, 0, -99700, 0, 0, 0, 39000, 0, 51194, 0, 0, 0, 66894, 0, 0, 0, 0, 0, -21120, 0, 172448, 0, 0, 0, -135810, 0, 277344, 0, 0, 0, -11328, 0, -24080, 0, 0, 0, -130764, 0, 87448, 0, 0, 0, 0, 0, -45216, 0, 0, 0, -98046, 0, -317504, 0, 0, 0, 109032, 0, 0, 0, 0, 0, -117174, 0, -206640, 0, 0, 0, -40176, 0, 236602, 0, 0, 0, -38016, 0, -22880, 0, 0, 0, -212400, 0, 305532, 0, 0, 0, 0, 0, 58536, 0, 0, 0, -281076, 0, 40860, 0, 0, 0, -45696, 0, 0, 0, 0, 0, 439848, 0, 72790, 0, 0, 0, 134718, 0, 47016, 0, 0, 0, -27852, 0, 33516, 0, 0, 0, -242826, 0, -156332, 0, 0, 0, 0, 0, 71668, 0, 0, 0, -58560, 0, -80648, 0, 0, 0, 167280, 0, 0, 0, 0, 0, -135300, 0, 144, 0, 0, 0, 227352, 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, 0, 0, 6, 0, 0, 0, 0, 0, 12, 0, 82, 0, 0, 0, -30, 0, -68, 0, 0, 0, -216, 0, -89, 0, 0, 0, -246, 0, 112, 0, 0, 0, 0, 0, 110, 0, 0, 0, -246, 0, -172, 0, 0, 0, 192, 0, 0, 0, 0, 0, -558, 0, 72, 0, 0, 0, 540, 0, -110, 0, 0, 0, 492, 0, 140, 0, 0, 0, 840, 0, 550, 0, 0, 0, 0, 0, -208, 0, 0, 0, 516, 0, -180, 0, 0, 0, -1398, 0, 0, 0, 0, 0, -408, 0, -1586, 0, 0, 0, -1242, 0, -680, 0, 0, 0, -996, 0, 1382, 0, 0, 0, 750, 0, -1296, 0, 0, 0, 0, 0, -1187, 0, 0, 0, -1284, 0, 176, 0, 0, 0, -1548, 0, 0, 0, 0, 0, -378, 0, 2500, 0, 0, 0, 984, 0, -1476, 0, 0, 0, -846, 0, -2536, 0, 0, 0, 672, 0, 1186, 0, 0, 0, 0, 0, 2108, 0, 0, 0, -1944, 0, 4527, 0, 0, 0, -1362, 0, 0, 0, 0, 0, -1596, 0, 1690, 0, 0, 0, 660, 0, -360, 0, 0, 0, -3552, 0, -2686, 0, 0, 0, 1410, 0, 2968, 0, 0, 0, 0, 0, -1476, 0, 0, 0, -816, 0, -1348, 0, 0, 0, -1032, 0, 0, 0, 0, 0, -2460, 0, -3872, 0, 0, 0, 5364, 0, 874, 0, 0, 0, -378, 0, 1152, 0, 0, 0, -1920, 0, -4322, 0, 0, 0, 0, 0, -5576, 0, 0, 0, 5292, 0, -2592, 0, 0, 0, -5118, 0, 0, 0, 0, 0, -3768, 0, -3348, 0, 0, 0, 3918, 0, -4880, 0, 0, 0, -1068, 0, -3538, 0, 0, 0, 5430, 0, 6436, 0, 0, 0, 0, 0, -4013, 0, 0, 0, 1350, 0, 3240, 0, 0, 0, -17712, 0, 0, 0, 0, 0, -660, 0, -3332, 0, 0, 0, -4728, 0, -5114, 0, 0, 0, -7206, 0, -2952, 0, 0, 0, 2040, 0, -7298, 0, 0, 0, 0, 0, 6260, 0, 0, 0, 840, 0, -5326, 0, 0, 0, 1344, 0, 0, 0, 0, 0, -36, 0, -3134, 0, 0, 0, 1218, 0, 5040, 0, 0, 0, 10008, 0, -2235, 0, 0, 0, 3300, 0, 1072, 0, 0, 0, 0, 0, -274, 0, 0, 0, -20172, 0, 7652, 0, 0, 0, 2160, 0, 0, 0, 0, 0, 1074, 0, 6480, 0, 0, 0, -1248, 0, -6926, 0, 0, 0, -1938, 0, 9184, 0, 0, 0, 1320, 0, 9574, 0, 0, 0, 0, 0, 3096, 0, 0, 0, -5052, 0, 3422, 0, 0, 0, 2670, 0, 0, 0, 0, 0, -2208, 0, 6814, 0, 0, 0, 14688, 0, -12584, 0, 0, 0, -6996, 0, -8388, 0, 0, 0, -9474, 0, -2952, 0, 0, 0, 0, 0, 5786, 0, 0, 0, 3438, 0, 9392, 0, 0, 0, -4956, 0, 0, 0, 0, 0, -2064, 0, 6052, 0, 0, 0, -20592, 0, 9020, 0, 0, 0, -9516, 0, -13432, 0, 0, 0, 14172, 0, 7380, 0, 0, 0, 0, 0, -5956, 0, 0, 0, 16968, 0, -7452, 0, 0, 0, 5214, 0, 0, 0, 0, 0, -4080, 0, 2304, 0, 0, 0, -1398, 0, 18580, 0, 0, 0, -3360, 0, 34489, 0, 0, 0, -20172, 0, -5976, 0, 0, 0, 0, 0, -18970, 0, 0, 0, 8292, 0, -16036, 0, 0, 0, 16728, 0, 0, 0, 0, 0, -8310, 0, -14104, 0, 0, 0, 7092, 0, 4500, 0, 0, 0, 7158, 0, 6500, 0, 0, 0, 19224, 0, -21794, 0, 0, 0, 0, 0, -6696, 0, 0, 0, 9756, 0, -7616, 0, 0, 0, 5586, 0, 0, 0, 0, 0, 24, 0, -4298, 0, 0, 0, -7122, 0, -8480, 0, 0, 0, 15744, 0, -1906, 0, 0, 0, -7482, 0, 7348, 0, 0, 0, 0, 0, 3421, 0, 0, 0, -3300, 0, 4520, 0, 0, 0, 1056, 0, 0, 0, 0, 0, 19806, 0, 5020, 0, 0, 0, 28392, 0, 6480, 0, 0, 0, 17562, 0, -9288, 0, 0, 0, -4716, 0, 22762, 0, 0, 0, 0, 0, 53136, 0, 0, 0, -1320, 0, 4802, 0, 0, 0, 21558, 0, 0, 0, 0, 0, -3780, 0, -2268, 0, 0, 0, -45756, 0, 5500, 0, 0, 0, 15000, 0, 7380, 0, 0, 0, -10230, 0, -7480, 0, 0, 0, 0, 0, 10190, 0, 0, 0, -24192, 0, 5904, 0, 0, 0, 9408, 0, 0, 0, 0, 0, 21894, 0, 33064, 0, 0, 0, 5160, 0, 6322, 0, 0, 0, 1680, 0, -20740, 0, 0, 0, -32040, 0, -5076, 0, 0, 0, 0, 0, -12832, 0, 0, 0, -15216, 0, -19906, 0, 0, 0, 10842, 0, 0, 0, 0, 0, 44280, 0, -28274, 0, 0, 0, -32346, 0, -9968, 0, 0, 0, 16728, 0, 10080, 0, 0, 0, 7116, 0, -30116, 0, 0, 0, 0, 0, -9020, 0, 0, 0, -6594, 0, -5760, 0, 0, 0, 6600, 0, 0, 0, 0, 0, 43014, 0, 14164, 0, 0, 0, 12648, 0, 11696, 0, 0, 0, -34830, 0, 31016, 0, 0, 0, -9876, 0, 3154, 0, 0, 0, 0, 0, -11664, 0, 0, 0, 36936, 0, 36127, 0, 0, 0, 27162, 0, 0, 0, 0, 0, -23760, 0, -9638, 0, 0, 0, 10266, 0, 4084, 0, 0, 0, 192, 0, -8172, 0, 0, 0, -2496, 0, 11480, 0, 0, 0, 0, 0, 19910, 0, 0, 0, 14802, 0, -32548, 0, 0, 0, 1464, 0, 0, 0, 0, 0, -13056, 0, -9576, 0, 0, 0, -27552, 0, 16740, 0, 0, 0, 10140, 0, -49564, 0, 0, 0, -8448, 0, 6192, 0, 0, 0, 0, 0, 14600, 0, 0, 0, 68880, 0, -9790, 0, 0, 0, -21102, 0, 0, 0, 0, 0, -2160, 0, 20806, 0, 0, 0, 24510, 0, 53136, 0, 0, 0, 44148, 0, 45100, 0, 0, 0, -27114, 0, -21312, 0, 0, 0, 0, 0, -17247, 0, 0, 0, -16116, 0, -10264, 0, 0, 0, 51468, 0, 0, 0, 0, 0, 23790, 0, -16776, 0, 0, 0, 26424, 0, 8460, 0, 0, 0, 37152, 0, 39488, 0, 0, 0, 17808, 0, -30854, 0, 0, 0, 0, 0, -16200, 0, 0, 0, 37944, 0, -19246, 0, 0, 0, 43782, 0, 0, 0, 0, 0, -62676, 0, -42302, 0, 0, 0, 21894, 0, -17056, 0, 0, 0, 19272, 0, -52198, 0, 0, 0, 3300, 0, 38080, 0, 0, 0, 0, 0, -4896, 0, 0, 0, -62742, 0, 22964, 0, 0, 0, -8088, 0, 0, 0, 0, 0, 25650, 0, 48904, 0, 0, 0, -19032, 0, 21250, 0, 0, 0, -27060, 0, 15308, 0, 0, 0, 42312, 0, -41472, 0, 0, 0, 0, 0, -37168, 0, 0, 0, -1500, 0, 11630, 0, 0, 0, -5766, 0, 0, 0, 0, 0, 5568, 0, -14760, 0, 0, 0, -42042, 0, -14904, 0, 0, 0, -23232, 0, -1114, 0, 0, 0, -36720, 0, 62476, 0, 0, 0, 0, 0, 39194, 0, 0, 0, -8160, 0, 32184, 0, 0, 0, -4200, 0, 0, 0, 0, 0, 5244, 0, 12320, 0, 0, 0, -16944, 0, -38498, 0, 0, 0, -114636, 0, 7480, 0, 0, 0, 15516, 0, -2268, 0, 0, 0, 0, 0, 34940, 0, 0, 0, -17088, 0, -11952, 0, 0, 0, -13218, 0, 0, 0, 0, 0, 17556, 0, 60516, 0, 0, 0, -7782, 0, -11520, 0, 0, 0, 16584, 0, 12434, 0, 0, 0, -25932, 0, -25200, 0, 0, 0, 0, 0, 25238, 0, 0, 0, -35838, 0, 120528, 0, 0, 0, -83496, 0, 0, 0, 0, 0, 43338, 0, 53632, 0, 0, 0, -33456, 0, -27542, 0, 0, 0, -16500, 0, 9000, 0, 0, 0, 42312, 0, 2590, 0, 0, 0, 0, 0, 31752, 0, 0, 0, -15924, 0, -130052, 0, 0, 0, -15552, 0, 0, 0, 0, 0, -27552, 0, -9520, 0, 0, 0, -3474, 0, -48080, 0, 0, 0, 61956, 0, -30708, 0, 0, 0, 8742, 0, 53764, 0, 0, 0, 0, 0, -26926, 0, 0, 0, -61770, 0, -27880, 0, 0, 0, 17820, 0, 0, 0, 0, 0, -101844, 0, -22608, 0, 0, 0, 42168, 0, -14954, 0, 0, 0, 49662, 0, 47504, 0, 0, 0, -30216, 0, -19264, 0, 0, 0, 0, 0, -55760, 0, 0, 0, 6240, 0, 23508, 0, 0, 0, -57120, 0, 0, 0, 0, 0, -29280, 0, -116640, 0, 0, 0, 68706, 0, -47232, 0, 0, 0, -50664, 0, -38553, 0, 0, 0, 75498, 0, -15408, 0, 0, 0, 0, 0, -80146, 0, 0, 0, -21228, 0, -37400, 0, 0, 0, -81672, 0, 0, 0, 0, 0, 2112, 0, -63272, 0, 0, 0, 23760, 0, 32580, 0, 0, 0, -39810, 0, -15480, 0, 0, 0, 38616, 0, 113324, 0, 0, 0, 0, 0, 55712, 0, 0, 0, 66756, 0, 63614, 0, 0, 0, 78282, 0, 0, 0, 0, 0, -42000, 0, -18576, 0, 0, 0, -24078, 0, 45160, 0, 0, 0, 64812, 0, -10618, 0, 0, 0, 21504, 0, -103412, 0, 0, 0, 0, 0, 8100, 0, 0, 0, 61500, 0, -83008, 0, 0, 0, -48060, 0, 0, 0, 0, 0, -104730, 0, 34612, 0, 0, 0, 61392, 0, 83614, 0, 0, 0, -70350, 0, -106272, 0, 0, 0, -14004, 0, 14144, 0, 0, 0, 0, 0, -4536, 0, 0, 0, -1800, 0, 41940, 0, 0, 0, -27060, 0, 0, 0, 0, 0, 28884, 0, 9790, 0, 0, 0, 30000, 0, -114812, 0, 0, 0, -19992, 0, 137268, 0, 0, 0, -30240, 0, 32392, 0, 0, 0, 0, 0, 7094, 0, 0, 0, 90354, 0, -28368, 0, 0, 0, -62376, 0, 0, 0, 0, 0, -30684, 0, 5536, 0, 0, 0, 12948, 0, -97334, 0, 0, 0, -35088, 0, -38284, 0, 0, 0, 88656, 0, -43236, 0, 0, 0, 0, 0, -18920, 0, 0, 0, -17712, 0, 112646, 0, 0, 0, -60702, 0, 0, 0, 0, 0, -49176, 0, 85414, 0, 0, 0, 19614, 0, 12240, 0, 0, 0, -60828, 0, -122242, 0, 0, 0, -105288, 0, 60916, 0, 0, 0, 0, 0, -181440, 0, 0, 0, -36762, 0, -10152, 0, 0, 0, -62496, 0, 0, 0, 0, 0, 47580, 0, 14432, 0, 0, 0, 37560, 0, 63430, 0, 0, 0, -30432, 0, 23792, 0, 0, 0, 3588, 0, 48442, 0, 0, 0, 0, 0, -12460, 0, 0, 0, -118800, 0, -8405, 0, 0, 0, -31956, 0, 0, 0, 0, 0, 95064, 0, -34382, 0, 0, 0, -107406, 0, -80420, 0, 0, 0, -126936, 0, 8064, 0, 0, 0, 16362, 0, -132840, 0, 0, 0, 0, 0, 37260, 0, 0, 0, -108822, 0, 49556, 0, 0, 0, 14232, 0, 0, 0, 0, 0, 55314, 0, -216, 0, 0, 0, 21120, 0, -11918, 0, 0, 0, -18804, 0, -104884, 0, 0, 0, 20400, 0, 18454, 0, 0, 0, 0, 0, 39056, 0, 0, 0, 42312, 0, 7308, 0, 0, 0, 27060, 0, 0, 0, 0, 0, -74760, 0, -13970, 0, 0, 0, -30996, 0, 65176, 0, 0, 0, 15324, 0, 88358, 0, 0, 0, 25296, 0, 60048, 0, 0, 0, 0, 0, 150362, 0, 0, 0, -13410, 0, 205000, 0, 0, 0, -31164, 0, 0, 0, 0, 0, 44928, 0, 29880, 0, 0, 0, 88032, 0, -48950, 0, 0, 0, 60480, 0, -328, 0, 0, 0, 6432, 0, -23328, 0, 0, 0, 0, 0, 107848, 0, 0, 0, -18504, 0, -49923, 0, 0, 0, -41460, 0, 0, 0, 0, 0, 54324, 0, -12902, 0, 0, 0, -1644, 0, 118132, 0, 0, 0, 112320, 0, -106894, 0, 0, 0, 101586, 0, 37480, 0, 0, 0, 0, 0, -121032, 0, 0, 0, 65154, 0, -12320, 0, 0, 0, 45912, 0, 0, 0, 0, 0, -72726, 0, -16344, 0, 0, 0, -140700, 0, -111456, 0, 0, 0, 122454, 0, 12960, 0, 0, 0, 84456, 0, -22500, 0, 0, 0, 0, 0, -47232, 0, 0, 0, 31692, 0, -39850, 0, 0, 0, -69372, 0, 0, 0, 0, 0, -34440, 0, 6444, 0, 0, 0, 110334, 0, -27584, 0, 0, 0, 38880, 0, 46240, 0, 0, 0, -61380, 0, -207952, 0, 0, 0, 0, 0, -19152, 0, 0, 0, -45786, 0, 18512, 0, 0, 0, 80364, 0, 0, 0, 0, 0, -41556, 0, -63044, 0, 0, 0, 20280, 0, -30314, 0, 0, 0, 100026, 0, 2864, 0, 0, 0, -61548, 0, -11628, 0, 0, 0, 0, 0, -144124, 0, 0, 0, 55104, 0, -90238, 0, 0, 0, -33024, 0, 0, 0, 0, 0, -120084, 0, -48734, 0, 0, 0, 67728, 0, 7920, 0, 0, 0, -159384, 0, 97252, 0, 0, 0, 57444, 0, 301968, 0, 0, 0, 0, 0, 134078, 0, 0, 0, 35610, 0, -206640, 0, 0, 0, -32976, 0, 0, 0, 0, 0, 81474, 0, -93976, 0, 0, 0, -45924, 0, 15680, 0, 0, 0, -66690, 0, 74972, 0, 0, 0, -80376, 0, -127610, 0, 0, 0, 0, 0, -30312, 0, 0, 0, 95604, 0, -42624, 0, 0, 0, 20532, 0, 0, 0, 0, 0, 100800, 0, -58562, 0, 0, 0, -135300, 0, 172856, 0, 0, 0, -32232, 0, 38520, 0, 0, 0, 16206, 0, -36692, 0, 0, 0, 0, 0, -72022, 0, 0, 0, -98610, 0, -60256, 0, 0, 0, -51000, 0, 0, 0, 0, 0, 70086, 0, -13248, 0, 0, 0, -5280, 0, 46366, 0, 0, 0, 40884, 0, 16920, 0, 0, 0, -159408, 0, 137268, 0, 0, 0, 0, 0, 63164, 0, 0, 0, 59400, 0, 88128, 0, 0, 0, 35616, 0, 0, 0, 0, 0, -75504, 0, 191060, 0, 0, 0, 94080, 0, 3652, 0, 0, 0, -71664, 0, -66959, 0, 0, 0, -32622, 0, -41976, 0, 0, 0, 0, 0, 34934, 0, 0, 0, 124422, 0, 46440, 0, 0, 0, 342576, 0, 0, 0, 0, 0, -60150, 0, -5168, 0, 0, 0, -98940, 0, -56844, 0, 0, 0, -111684, 0, 66116, 0, 0, 0, -17712, 0, -12100, 0, 0, 0, 0, 0, 61600, 0, 0, 0, 53724, 0, -172618, 0, 0, 0, 74178, 0, 0, 0, 0, 0, 95976, 0, 176806, 0, 0, 0, 34716, 0, -153632, 0, 0, 0, 51168, 0, -24562, 0, 0, 0, -146442, 0, 80716, 0, 0, 0, 0, 0, 20628, 0, 0, 0, -52458, 0, 148376, 0, 0, 0, 56352, 0, 0, 0, 0, 0, -16176, 0, 268272, 0, 0, 0, -130872, 0, 11340, 0, 0, 0, 164010, 0, -29736, 0, 0, 0, 22212, 0, -98678, 0, 0, 0, 0, 0, 45236, 0, 0, 0, -227376, 0, 138580, 0, 0, 0, 125046, 0, 0, 0, 0, 0, -75000, 0, -12384, 0, 0, 0, 146880, 0, 122236, 0, 0, 0, 87312, 0, -61990, 0, 0, 0, 123018, 0, 22336, 0, 0, 0, 0, 0, 112622, 0, 0, 0, -168918, 0, -123552, 0, 0, 0, 227856, 0, 0, 0, 0, 0, 54120, 0, -126936, 0, 0, 0, -64596, 0, -11968, 0, 0, 0, 113646, 0, -132840, 0, 0, 0, -28536, 0, 141154, 0, 0, 0, 0, 0, -29520, 0, 0, 0, -80592, 0, 105374, 0, 0, 0, 142938, 0, 0, 0, 0, 0, 86112, 0, -23296, 0, 0, 0, -46464, 0, 85032, 0, 0, 0, -64020, 0, 215136, 0, 0, 0, 44280, 0, -40436, 0, 0, 0, 0, 0, 44282, 0, 0, 0, 131886, 0, 15400, 0, 0, 0, -291264, 0, 0, 0, 0, 0, 105264, 0, -107136, 0, 0, 0, -35736, 0, 64368, 0, 0, 0, 27060, 0, 65960, 0, 0, 0, -298512, 0, -220252, 0, 0, 0, 0, 0, 101808, 0, 0, 0, 10488, 0, -138166, 0, 0, 0, 110538, 0, 0, 0, 0, 0, 220116, 0, 25380, 0, 0, 0, -92880, 0, -26588, 0, 0, 0, 124368, 0, 31284, 0, 0, 0, -38766, 0, 130360, 0, 0, 0, 0, 0, 157382, 0, 0, 0, 115620, 0, -4536, 0, 0, 0, 76080, 0, 0, 0, 0, 0, 57792, 0, 60520, 0, 0, 0, -89148, 0, 343908, 0, 0, 0, 13824, 0, 243376, 0, 0, 0, 82992, 0, -187490, 0, 0, 0, 0, 0, -162000, 0, 0, 0, 25704, 0, -8388, 0, 0, 0, -40734, 0, 0, 0, 0, 0, 111480, 0, -91322, 0, 0, 0, -169122, 0, 18920, 0, 0, 0, 92400, 0, -23040, 0, 0, 0, 212262, 0, -20160, 0, 0, 0, 0, 0, -170000, 0, 0, 0, 206934, 0, -113848, 0, 0, 0, -51864, 0, 0, 0, 0, 0, 14046, 0, -22916, 0, 0, 0, 195192, 0, -121032, 0, 0, 0, -35580, 0, -19888, 0, 0, 0, 88644, 0, -13142, 0, 0, 0, 0, 0, -5548, 0, 0, 0, -106416, 0, -56062, 0, 0, 0, 113286, 0, 0, 0, 0, 0, -240900, 0, 60500, 0, 0, 0, -113820, 0, 10348, 0, 0, 0, 14760, 0, -39382, 0, 0, 0, -66912, 0, -160976, 0, 0, 0, 0, 0, -122998, 0, 0, 0, 229866, 0, 189284, 0, 0, 0, -96216, 0, 0, 0, 0, 0, 14274, 0, -110536, 0, 0, 0, -34440, 0, -74414, 0, 0, 0, 257022, 0, 100368, 0, 0, 0, -156576, 0, 63504, 0, 0, 0, 0, 0, -49552, 0, 0, 0, -63240, 0, 103680, 0, 0, 0, -118758, 0, 0, 0, 0, 0, 256392, 0, -49860, 0, 0, 0, 109398, 0, -120680, 0, 0, 0, -84624, 0, -187594, 0, 0, 0, 200814, 0, -260852, 0, 0, 0, 0, 0, 162487, 0, 0, 0, 390156, 0, 42552, 0, 0, 0, 178404, 0, 0, 0, 0, 0, -66750, 0, -61416, 0, 0, 0, 57528, 0, 31246, 0, 0, 0, -51390, 0, 58320, 0, 0, 0, 63036, 0, 42948, 0, 0, 0, 0, 0, -99700, 0, 0, 0, 39000, 0, 51194, 0, 0, 0, 66894, 0, 0, 0, 0, 0, -21120, 0, 172448, 0, 0, 0, -135810, 0, 277344, 0, 0, 0, -11328, 0, -24080, 0, 0, 0, -130764, 0, 87448, 0, 0, 0, 0, 0, -45216, 0, 0, 0, -98046, 0, -317504, 0, 0, 0, 109032, 0, 0, 0, 0, 0, -117174, 0, -206640, 0, 0, 0, -40176, 0, 236602, 0, 0, 0, -38016, 0, -22880, 0, 0, 0, -212400, 0, 305532, 0, 0, 0, 0, 0, 58536, 0, 0, 0, -281076, 0, 40860, 0, 0, 0, -45696, 0, 0, 0, 0, 0, 439848, 0, 72790, 0, 0, 0, 134718, 0, 47016, 0, 0, 0, -27852, 0, 33516, 0, 0, 0, -242826, 0, -156332, 0, 0, 0, 0, 0, 71668, 0, 0, 0, -58560, 0, -80648, 0, 0, 0, 167280, 0, 0, 0, 0, 0, -135300, 0, 144, 0, 0, 0, 227352, 0]}