# Stored data for newform 2400.4.a.f, downloaded from the LMFDB on 01 May 2026.
{"Nk2": 38400, "analytic_conductor": 141.60458401377747, "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": [2400, 1, [1951, 901, 1601, 577], [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": [[7, [-8, 1]], [11, [-4, 1]]], "hecke_orbit": 6, "hecke_orbit_code": 22517998203963744, "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": "2400.4.a.f", "level": 2400, "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": "480.4.a.b", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-3q^{3}+8q^{7}+9q^{9}+4q^{11}+6q^{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": "2400.4.a", "trace_display": [0, -3, 0, 8], "trace_hash": 840463451607792483, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.975", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.929", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.748", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "traces": [0, 1, 0, -3, 0, 0, 0, 8, 0, 9, 0, 4, 0, 6, 0, 0, 0, 2, 0, -16, 0, -24, 0, 60, 0, 0, 0, -27, 0, -142, 0, -176, 0, -12, 0, 0, 0, 214, 0, -18, 0, -278, 0, 68, 0, 0, 0, -116, 0, -279, 0, -6, 0, 350, 0, 0, 0, 48, 0, 684, 0, -394, 0, 72, 0, 0, 0, -108, 0, -180, 0, -96, 0, 398, 0, 0, 0, 32, 0, 136, 0, 81, 0, -436, 0, 0, 0, 426, 0, -750, 0, 48, 0, 528, 0, 0, 0, -82, 0, 36, 0, 154, 0, 1216, 0, 0, 0, -732, 0, -554, 0, -642, 0, 474, 0, 0, 0, 54, 0, 16, 0, -1315, 0, 834, 0, 0, 0, 840, 0, -204, 0, 1484, 0, -128, 0, 0, 0, -1006, 0, 1400, 0, 348, 0, 24, 0, 0, 0, 837, 0, 2, 0, -2248, 0, 18, 0, 0, 0, -2890, 0, -1050, 0, 480, 0, 252, 0, 0, 0, 884, 0, -2161, 0, -144, 0, 1398, 0, 0, 0, -2052, 0, 3612, 0, 3150, 0, 1182, 0, 0, 0, 8, 0, -216, 0, 3040, 0, -1994, 0, 0, 0, -4066, 0, -3904, 0, 324, 0, -1136, 0, 0, 0, 540, 0, -64, 0, -560, 0, 288, 0, 0, 0, -1408, 0, -1194, 0, 12, 0, -608, 0, 0, 0, -5124, 0, 1190, 0, -96, 0, -3862, 0, 0, 0, -408, 0, 1640, 0, -2334, 0, -243, 0, 0, 0, -96, 0, 1308, 0, -772, 0, 240, 0, 0, 0, -6214, 0, 1712, 0, -1278, 0, -4948, 0, 0, 0, 2250, 0, -7038, 0, -728, 0, -144, 0, 0, 0, -7274, 0, -1584, 0, 1714, 0, 4316, 0, 0, 0, -2224, 0, -4909, 0, 246, 0, 6078, 0, 0, 0, -108, 0, 360, 0, 544, 0, -462, 0, 0, 0, 1564, 0, -3648, 0, 5216, 0, 5790, 0, 0, 0, -3946, 0, -568, 0, 2196, 0, -32, 0, 0, 0, 1662, 0, -928, 0, -9992, 0, 1926, 0, 0, 0, -3274, 0, -1422, 0, -704, 0, -4976, 0, 0, 0, 5580, 0, -4154, 0, -162, 0, 2802, 0, 0, 0, -48, 0, -11296, 0, -6603, 0, 3945, 0, 0, 0, -10536, 0, -2502, 0, 2800, 0, 2222, 0, 0, 0, -852, 0, -1512, 0, -2520, 0, -7916, 0, 0, 0, 612, 0, -9950, 0, 120, 0, -4452, 0, 0, 0, -9554, 0, 384, 0, -6390, 0, -1056, 0, 0, 0, 856, 0, -13030, 0, 3018, 0, 5472, 0, 0, 0, -4200, 0, 2100, 0, 3478, 0, -1044, 0, 0, 0, -3152, 0, -72, 0, 8504, 0, 16102, 0, 0, 0, -960, 0, -1072, 0, -2511, 0, 11076, 0, 0, 0, -6, 0, -9910, 0, -1112, 0, 6744, 0, 0, 0, 3798, 0, -54, 0, -8406, 0, -18040, 0, 0, 0, 8484, 0, -864, 0, 8670, 0, 272, 0, 0, 0, 3150, 0, -2136, 0, 1284, 0, -1440, 0, 0, 0, -3152, 0, -756, 0, -11812, 0, -284, 0, 0, 0, -768, 0, 10352, 0, -2652, 0, 1300, 0, 0, 0, 6483, 0, -4398, 0, 3184, 0, 432, 0, 0, 0, -464, 0, -4194, 0, 1650, 0, 17276, 0, 0, 0, -352, 0, -8567, 0, 6156, 0, -1668, 0, 0, 0, -10836, 0, -1116, 0, 3878, 0, -9450, 0, 0, 0, -9604, 0, -3546, 0, 2272, 0, 1088, 0, 0, 0, -13546, 0, 408, 0, -24, 0, 16884, 0, 0, 0, 648, 0, 13746, 0, -15176, 0, -9120, 0, 0, 0, -15106, 0, 5982, 0, -3488, 0, 1400, 0, 0, 0, 17332, 0, 2816, 0, 12198, 0, 1290, 0, 0, 0, 11712, 0, -20544, 0, -2630, 0, -972, 0, 0, 0, -20320, 0, 3408, 0, -696, 0, -15386, 0, 0, 0, -8934, 0, 20408, 0, -1620, 0, -6000, 0, 0, 0, 192, 0, 428, 0, -24000, 0, 1680, 0, 0, 0, -1674, 0, -864, 0, 15810, 0, -7716, 0, 0, 0, 27324, 0, 2736, 0, 4224, 0, -9450, 0, 0, 0, 3582, 0, 10804, 0, 1534, 0, -36, 0, 0, 0, -8520, 0, 1824, 0, -1576, 0, -1306, 0, 0, 0, 6398, 0, -656, 0, 15372, 0, 20396, 0, 0, 0, -3570, 0, 2100, 0, -11592, 0, 288, 0, 0, 0, -556, 0, 11586, 0, 3618, 0, -3424, 0, 0, 0, 1232, 0, 30518, 0, 1224, 0, -10560, 0, 0, 0, -4920, 0, -13088, 0, 9728, 0, 7002, 0, 0, 0, -6064, 0, 729, 0, 136, 0, -3522, 0, 0, 0, -432, 0, 39040, 0, 288, 0, 14868, 0, 0, 0, -3924, 0, -5856, 0, -4016, 0, 2316, 0, 0, 0, 7958, 0, -720, 0, 15890, 0, -4432, 0, 0, 0, 4104, 0, 6834, 0, 18642, 0, 3694, 0, 0, 0, -5136, 0, 4448, 0, -384, 0, 3834, 0, 0, 0, -38284, 0, 14844, 0, 3792, 0, -2364, 0, 0, 0, -3258, 0, -232, 0, -6750, 0, 1592, 0, 0, 0, 21114, 0, 29754, 0, -42848, 0, 2184, 0, 0, 0, -1088, 0, 432, 0, -6454, 0, -19128, 0, 0, 0, -7060, 0, -4666, 0, 21822, 0, -558, 0, 0, 0, 4752, 0, -33792, 0, -4225, 0, -5142, 0, 0, 0, -10520, 0, -12948, 0, 12840, 0, -23146, 0, 0, 0, 40698, 0, 40136, 0, 6672, 0, -1396, 0, 0, 0, 14727, 0, 544, 0, -648, 0, -738, 0, 0, 0, 34646, 0, -18234, 0, -15302, 0, 26300, 0, 0, 0, 12052, 0, 6720, 0, 324, 0, 1856, 0, 0, 0, -1080, 0, 24992, 0, 700, 0, -1632, 0, 0, 0, -18260, 0, 1386, 0, -10280, 0, -1744, 0, 0, 0, 11872, 0, -34504, 0, -4692, 0, -576, 0, 0, 0, 10944, 0, 28266, 0, 4464, 0, -15648, 0, 0, 0, 51494, 0, -17370, 0, 5338, 0, -16680, 0, 0, 0, 47644, 0, 2388, 0, 11838, 0, 13906, 0, 0, 0, 1704, 0, -8048, 0, 1185, 0, -6588, 0, 0, 0, -8536, 0, 96, 0, 22572, 0, 11200, 0, 0, 0, 51474, 0, -3000, 0, -4986, 0, -6412, 0, 0, 0, 2784, 0, 4080, 0, -54008, 0, 29976, 0, 0, 0, 30846, 0, -5778, 0, 192, 0, 1368, 0, 0, 0, -5600, 0, 7826, 0, 9822, 0, -3922, 0, 0, 0, 4266, 0, -1332, 0, -50546, 0, 2112, 0, 0, 0, 816, 0, 14928, 0, 41592, 0, 5950, 0, 0, 0, -788, 0, -600, 0, -16740, 0, 16, 0, 0, 0, 12462, 0, -5838, 0, -26992, 0, 486, 0, 0, 0, -17984, 0, -8406, 0, -3070, 0, 8840, 0, 0, 0, -328, 0, -10274, 0, 144, 0, -30388, 0, 0, 0, 33888, 0, -2616, 0, -6960, 0, 19809, 0, 0, 0, -28224, 0, -11835, 0, 59548, 0, -9226, 0, 0, 0, 57474, 0, -23120, 0, 31608, 0, -35724, 0, 0, 0, 7506, 0, 7346, 0, 616, 0, -8400, 0, 0, 0, 58326, 0, -6666, 0, -10944, 0, -17652, 0, 0, 0, -16740, 0, 35482, 0, 2556, 0, 4864, 0, 0, 0, 4536, 0, -216, 0, 2016, 0, 7560, 0, 0, 0, -37664, 0, 23748, 0, 33360, 0, -65242, 0, 0, 0, -4500, 0, 6304, 0, -1836, 0, -18220, 0, 0, 0, 29850, 0, 7072, 0, -76144, 0, -360, 0, 0, 0, -2928, 0, 13356, 0, 19962, 0, -17288, 0, 0, 0, -16524, 0, 39476, 0, 28662, 0, -18686, 0, 0, 0, -1152, 0, -2216, 0, 42818, 0, 19170, 0, 0, 0, -192, 0, 3168, 0, 11184, 0, 35030, 0, 0, 0, 46986, 0, 21000, 0, -2568, 0, -65420, 0, 0, 0, 39090, 0, 8826, 0, -49520, 0, -9054, 0, 0, 0, 30830, 0, -16416, 0, 796, 0, 1896, 0, 0, 0, -9656, 0, 30002, 0, 12600, 0, 28896, 0, 0, 0, -6300, 0, -13796, 0, -492, 0, -10434, 0, 0, 0, 25200, 0, 3132, 0, 48928, 0, 1728, 0, 0, 0, -74426, 0, -16328, 0, 9456, 0, 13972, 0, 0, 0, 216, 0, 68962, 0, -31944, 0, -25512, 0, 0, 0, -52554, 0, -48306, 0, 5810, 0, 4912, 0, 0, 0, -33140, 0, 64, 0, 2880, 0, 924, 0, 0, 0, 3216, 0, 32264, 0, 13402, 0, 7533, 0, 0, 0, -88808, 0, -33228, 0, -10584, 0, -11968, 0, 0, 0, 24320, 0, 7296, 0, 18, 0, 272, 0, 0, 0, 29730, 0, 1536, 0, -15952, 0, 3336, 0, 0, 0, 41040, 0, -20232, 0, -11158, 0, 16472, 0, 0, 0, -7764, 0, -4857, 0, -11394, 0, -33498, 0, 0, 0, 162, 0, -32528, 0, 86518, 0, 25218, 0, 0, 0, -6368, 0, 54120, 0, -4392, 0, -31232, 0, 0, 0, 3360, 0, 69296, 0, -25452, 0, -23640, 0, 0, 0, 2592, 0, 32386, 0, -872, 0, -26010, 0, 0, 0, -3324, 0, -816, 0, 39618, 0, 30696, 0, 0, 0, 64116, 0, 55686, 0, -9450, 0, -68286, 0, 0, 0, 6408, 0, 51584, 0, 5936, 0, -3852, 0, 0, 0, -8304, 0, 4320, 0, -30972, 0, 47750, 0, 0, 0, 20416, 0, -108408, 0, 9456, 0, -512, 0, 0, 0, 2268, 0, 2844, 0, -28904, 0, 35436, 0, 0, 0, -4480, 0, 852, 0, 20306, 0, 21692, 0, 0, 0, 6276, 0, 12658, 0, 2304, 0, -50034, 0, 0, 0, -31056, 0, 49740, 0, -2176, 0, 7956, 0, 0, 0, -4024, 0, -3900, 0, 79296, 0, -1500, 0, 0, 0, -59492, 0, 49104, 0, -19449, 0, 48484, 0, 0, 0, 13194, 0, 5600, 0, -54808, 0, -9552, 0, 0, 0, -49700, 0, -1296, 0, -6480, 0, -54152, 0, 0, 0, 96, 0, -6186, 0, 1392, 0, 4882, 0, 0, 0, 12582, 0, 15944, 0, -4864, 0, -4950, 0, 0, 0, 32056, 0, -51828, 0, 47508, 0, -7890, 0, 0, 0, 6976, 0, 85504, 0, 1056, 0, 85692, 0, 0, 0, 25701, 0, -40992, 0, 14552, 0, -18468, 0, 0, 0, -11250, 0, 5004, 0, -57726, 0, 9520, 0, 0, 0, 51236, 0, -91542, 0, 32508, 0, 29190, 0, 0, 0, 3348, 0, -52636, 0, -51746, 0, -11634, 0, 0, 0, -105756, 0, 28350, 0, -30896, 0, -5760, 0, 0, 0, -39474, 0, 8, 0, 28812, 0, -61600, 0, 0, 0, 10638, 0, -164, 0, 5040, 0, -6816, 0, 0, 0, -40866, 0, -3264, 0, -8992, 0, 9008, 0, 0, 0, -10340, 0, 118, 0, 40638, 0, 13120, 0, 0, 0, -1224, 0, 23880, 0, 8363, 0, 72, 0, 0, 0, -18672, 0, -50652, 0, 12000, 0, 60814, 0, 0, 0, 80362, 0, -4560, 0, -1944, 0, 8904, 0, 0, 0, -41238, 0, -84630, 0, -97128, 0, 45528, 0, 0, 0, 308, 0, 27360, 0, 10298, 0, -93188, 0, 0, 0, -11560, 0, -768, 0, 45318, 0, 132702, 0, 0, 0, -17946, 0, -24824, 0, -22370, 0, 10464, 0, 0, 0, 135596, 0, -4200, 0, 2432, 0, 55262, 0, 0, 0, -6176, 0, 65112, 0, -51996, 0, -18904, 0, 0, 0, -8448, 0, 55948, 0, 1920, 0, -36594, 0, 0, 0, -19082, 0, -3870, 0, -6036, 0, 142432, 0, 0, 0, -57588, 0, -79178, 0, -35136, 0, 1008, 0, 0, 0, 61632, 0, -49712, 0, -63782, 0, 7890, 0, 0, 0, 8400, 0, 2916, 0, 7292, 0, -59706, 0, 0, 0, 8160, 0, -1464, 0, 60960, 0, 135132, 0, 0, 0, -10224, 0, -120384, 0, 72936, 0, 2088, 0, 0, 0, 3536, 0, 46158, 0, -39584, 0, 1312, 0, 0, 0, 77852, 0, -74883, 0, 26802, 0, -1108, 0, 0, 0, -61224, 0, -8644, 0, -44058, 0, 4860, 0, 0, 0, -85476, 0, 18000, 0, -141520, 0, 49182, 0, 0, 0, -135954, 0, 65696, 0, -576, 0, -56304, 0, 0, 0, -1284, 0, -136286, 0, 69344, 0, 72000, 0, 0, 0, -5824, 0, -5040, 0, -86598, 0, 5592, 0, 0, 0, 143652, 0, -26160, 0, 5022, 0, 19482, 0, 0, 0, 2592, 0, -2464, 0, 948, 0, -47430, 0, 0, 0, 32248, 0, 23148, 0, -76956, 0, 8782, 0, 0, 0, 12, 0, -58192, 0, -81972, 0, 15336, 0, 0, 0, -8208, 0, -98166, 0, -131552, 0, -12672, 0, 0, 0, -19456, 0, 28350, 0, 74900, 0, -13488, 0, 0, 0, 13712, 0, 14448, 0, -10746, 0, 124942, 0, 0, 0, -32412, 0, -30276, 0, 34528, 0, -4602, 0, 0, 0, -98356, 0, 108, 0, 12600, 0, 86446, 0, 0, 0, -162378, 0, -17152, 0, 25560, 0, 61404, 0, 0, 0, -5472, 0, 77562, 0, 97624, 0, 4728, 0, 0, 0, -94498, 0, 3918, 0, -7888, 0, -39272, 0, 0, 0, -87852, 0, -23314, 0, -19194, 0, 11712, 0, 0, 0, 1968, 0, 11368, 0, -17340, 0, -46116, 0, 0, 0, -45000, 0, -61188, 0, 48624, 0, -8962, 0, 0, 0, -2630, 0, 13632, 0, 10710, 0, 24444, 0, 0, 0, -6300, 0, -69974, 0, 8864, 0, 34776, 0, 0, 0, 19008, 0, -864, 0, 67834, 0, -125644, 0, 0, 0, 63612, 0, -177190, 0, 1668, 0, 2880, 0, 0, 0, -34758, 0, -142036, 0, 12160, 0, -10854, 0, 0, 0, -18972, 0, 10272, 0, -136192, 0, 45302, 0, 0, 0, -56516, 0, 1512, 0, -3696, 0, -7976, 0, 0, 0, -91554, 0, 92930, 0, 148568, 0, -3672, 0, 0, 0, -103458, 0, 31680, 0, -55118, 0, 93176, 0, 0, 0, -7584, 0, 12512, 0, 14760, 0, -37398, 0, 0, 0, 39264, 0, 1680, 0, 85858, 0, -29184, 0, 0, 0, -16264, 0, -21006, 0, 5304, 0, -97300, 0, 0, 0, 41728, 0, -66856, 0, 18192, 0, 146376, 0, 0, 0, -2187, 0, -15616, 0, 46320, 0, -408, 0, 0, 0, -26148, 0, 10566, 0, 16896, 0, -154892, 0, 0, 0, 40524, 0, -90367, 0, 1296, 0, -4994, 0, 0, 0, -117120, 0, -31568, 0, -43634, 0, -864, 0, 0, 0, 2968, 0, -44604, 0, -4920, 0, -4544, 0, 0, 0, -55418, 0, 73272, 0, 11772, 0, -155412, 0, 0, 0, 17568, 0, 8388, 0, -89552, 0, 12048, 0, 0, 0, -84316, 0, -6948, 0, -256, 0, -70048, 0, 0, 0, -42108, 0, 100462, 0, -23874, 0, -24478, 0, 0, 0, 2160, 0, 23800, 0, -180070, 0, -47670, 0, 0, 0, 101640, 0, 13296, 0, -19312, 0, -117602, 0, 0, 0, -157062, 0, 21040, 0, -12312, 0, 32364, 0, 0, 0, -20502, 0, -129942, 0, 59608, 0, -55926, 0, 0, 0, -79936, 0, -11082, 0, -2240, 0, 9240, 0, 0, 0, 21672, 0, -2012, 0, 15408, 0, -101162, 0, 0, 0, -13344, 0, -49604, 0, 101798, 0, 1152, 0, 0, 0, 67916, 0, -11502, 0, -36048, 0, 18900, 0, 0, 0, -157682, 0, -26192, 0, 114852, 0, 2800, 0, 0, 0, -44532, 0, 72960, 0, 198688, 0, -11376, 0, 0, 0, 27158, 0, 7092, 0, 71538, 0, 66608, 0, 0, 0, -5632, 0, 124878, 0, 9774, 0, 92058, 0, 0, 0, 696, 0, 98048, 0, 55889, 0, 20250, 0, 0, 0, 61912, 0, -4776, 0, -74140, 0, -13440, 0, 0, 0, 43258, 0, -190152, 0, -63342, 0, -49572, 0, 0, 0, -89262, 0, 44640, 0, 48, 0, 128544, 0, 0, 0, -213826, 0, -6552, 0, 92954, 0, -33232, 0, 0, 0, -77892, 0, -23936, 0, 3264, 0, -2432, 0, 0, 0, -1296, 0, -14004, 0, -43920, 0, 19362, 0, 0, 0, 146660, 0, 57384, 0, 22416, 0, -10346, 0, 0, 0, 106854, 0, -23112, 0, 21180, 0, 18240, 0, 0, 0, 13998, 0, -23744, 0, -40600, 0, -65466, 0, 0, 0, -20496, 0, 1674, 0, 109532, 0, 136256, 0, 0, 0, -33240, 0, -11964, 0, -14256, 0, -90368, 0, 0, 0, 101376, 0, 4760, 0, -63462, 0, 12675, 0, 0, 0, -52824, 0, 15426, 0, 99732, 0, 4, 0, 0, 0, 46512, 0, -225320, 0, 31560, 0, -141036, 0, 0, 0, 38844, 0, -184182, 0, 207464, 0, -38520, 0, 0, 0, 47854, 0, 69438, 0, -24396, 0, -15448, 0, 0, 0, -4496, 0, -84288, 0, -122094, 0, 76736, 0, 0, 0, -120408, 0, -152916, 0, 106500, 0, -20016, 0, 0, 0, -23424, 0, 4188, 0, -115992, 0, 123822, 0, 0, 0, -97650, 0, 28440, 0, -44181, 0, 16096, 0, 0, 0, -1632, 0, 78138, 0, 17776, 0, 1944, 0, 0, 0, 21430, 0, 2214, 0, -242598, 0, -26792, 0, 0, 0, -20544, 0, 6560, 0, -103938, 0, -36750, 0, 0, 0, 54702, 0, -6816, 0, -22400, 0, 45906, 0, 0, 0, 203224, 0, -78900, 0, -9336, 0, -12096, 0, 0, 0, -16350, 0, 65224, 0, -36156, 0, 14940, 0, 0, 0, -20160, 0, -5780, 0, 62800, 0, -972, 0, 0, 0, 79190, 0, -5568, 0, -63328, 0, 114116, 0, 0, 0, -200300, 0, -66446, 0, 3240, 0, 202974, 0, 0, 0, -74976, 0, 5228, 0, 85172, 0, -2100, 0, 0, 0, 261444, 0, 4896, 0, 146424, 0, 84134, 0, 0, 0, -384, 0, 101280, 0, 54780, 0, -79600, 0, 0, 0, -4158, 0, 87770, 0, -47080, 0, 30840, 0, 0, 0, 960, 0, 5232, 0, -187566, 0, -3360, 0, 0, 0, 30024, 0, 23550, 0, -35616, 0, -79494, 0, 0, 0, 103512, 0, 132000, 0, -3088, 0, 14076, 0, 0, 0, -123464, 0, 1728, 0, 504, 0, -79344, 0, 0, 0, -1406, 0, -76432, 0, -32832, 0, -78900, 0, 0, 0, -84798, 0, 105658, 0, 56064, 0, -13392, 0, 0, 0, 241262, 0, 46944, 0, 175018, 0, 156348, 0, 0, 0, -51120, 0, -26377, 0, -154482, 0, 11644, 0, 0, 0, 52110, 0, 151524, 0, -8448, 0, -16014, 0, 0, 0, -24856, 0, 50040, 0, -32, 0, 30878, 0, 0, 0, 57006, 0, 1768, 0, -142932, 0, -105204, 0, 0, 0, -7164, 0, 6848, 0, 228024, 0, -35514, 0, 0, 0, 126094, 0, -41718, 0, 41426, 0, -104240, 0, 0, 0, 45704, 0, 35968, 0, -5112, 0, -4322, 0, 0, 0, 24144, 0, 263136, 0, -7344, 0, -3555, 0, 0, 0, 238232, 0, 19764, 0, -190836, 0, -19792, 0, 0, 0, 284362, 0, -3648, 0, 25608, 0, 218988, 0, 0, 0, -288, 0, -245078, 0, 26688, 0, -67716, 0, 0, 0, -25442, 0, -33600, 0, 50400, 0, 29104, 0, 0, 0, -284004, 0, -21868, 0, -154422, 0, 16800, 0, 0, 0, 9000, 0, 205220, 0, 2796, 0, 14958, 0, 0, 0, 27824, 0, 19236, 0, -30744, 0, 198270, 0, 0, 0, -8778, 0, -28152, 0, -8352, 0, -15172, 0, 0, 0, -12240, 0, 24202, 0, -60712, 0, 162024, 0, 0, 0, 7140, 0, -89928, 0, -2912, 0, 46240, 0, 0, 0, -172672, 0, 109926, 0, -92538, 0, -110644, 0, 0, 0, 17334, 0, 9264, 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, 8, 0, 9, 0, 4, 0, 6, 0, 0, 0, 2, 0, -16, 0, -24, 0, 60, 0, 0, 0, -27, 0, -142, 0, -176, 0, -12, 0, 0, 0, 214, 0, -18, 0, -278, 0, 68, 0, 0, 0, -116, 0, -279, 0, -6, 0, 350, 0, 0, 0, 48, 0, 684, 0, -394, 0, 72, 0, 0, 0, -108, 0, -180, 0, -96, 0, 398, 0, 0, 0, 32, 0, 136, 0, 81, 0, -436, 0, 0, 0, 426, 0, -750, 0, 48, 0, 528, 0, 0, 0, -82, 0, 36, 0, 154, 0, 1216, 0, 0, 0, -732, 0, -554, 0, -642, 0, 474, 0, 0, 0, 54, 0, 16, 0, -1315, 0, 834, 0, 0, 0, 840, 0, -204, 0, 1484, 0, -128, 0, 0, 0, -1006, 0, 1400, 0, 348, 0, 24, 0, 0, 0, 837, 0, 2, 0, -2248, 0, 18, 0, 0, 0, -2890, 0, -1050, 0, 480, 0, 252, 0, 0, 0, 884, 0, -2161, 0, -144, 0, 1398, 0, 0, 0, -2052, 0, 3612, 0, 3150, 0, 1182, 0, 0, 0, 8, 0, -216, 0, 3040, 0, -1994, 0, 0, 0, -4066, 0, -3904, 0, 324, 0, -1136, 0, 0, 0, 540, 0, -64, 0, -560, 0, 288, 0, 0, 0, -1408, 0, -1194, 0, 12, 0, -608, 0, 0, 0, -5124, 0, 1190, 0, -96, 0, -3862, 0, 0, 0, -408, 0, 1640, 0, -2334, 0, -243, 0, 0, 0, -96, 0, 1308, 0, -772, 0, 240, 0, 0, 0, -6214, 0, 1712, 0, -1278, 0, -4948, 0, 0, 0, 2250, 0, -7038, 0, -728, 0, -144, 0, 0, 0, -7274, 0, -1584, 0, 1714, 0, 4316, 0, 0, 0, -2224, 0, -4909, 0, 246, 0, 6078, 0, 0, 0, -108, 0, 360, 0, 544, 0, -462, 0, 0, 0, 1564, 0, -3648, 0, 5216, 0, 5790, 0, 0, 0, -3946, 0, -568, 0, 2196, 0, -32, 0, 0, 0, 1662, 0, -928, 0, -9992, 0, 1926, 0, 0, 0, -3274, 0, -1422, 0, -704, 0, -4976, 0, 0, 0, 5580, 0, -4154, 0, -162, 0, 2802, 0, 0, 0, -48, 0, -11296, 0, -6603, 0, 3945, 0, 0, 0, -10536, 0, -2502, 0, 2800, 0, 2222, 0, 0, 0, -852, 0, -1512, 0, -2520, 0, -7916, 0, 0, 0, 612, 0, -9950, 0, 120, 0, -4452, 0, 0, 0, -9554, 0, 384, 0, -6390, 0, -1056, 0, 0, 0, 856, 0, -13030, 0, 3018, 0, 5472, 0, 0, 0, -4200, 0, 2100, 0, 3478, 0, -1044, 0, 0, 0, -3152, 0, -72, 0, 8504, 0, 16102, 0, 0, 0, -960, 0, -1072, 0, -2511, 0, 11076, 0, 0, 0, -6, 0, -9910, 0, -1112, 0, 6744, 0, 0, 0, 3798, 0, -54, 0, -8406, 0, -18040, 0, 0, 0, 8484, 0, -864, 0, 8670, 0, 272, 0, 0, 0, 3150, 0, -2136, 0, 1284, 0, -1440, 0, 0, 0, -3152, 0, -756, 0, -11812, 0, -284, 0, 0, 0, -768, 0, 10352, 0, -2652, 0, 1300, 0, 0, 0, 6483, 0, -4398, 0, 3184, 0, 432, 0, 0, 0, -464, 0, -4194, 0, 1650, 0, 17276, 0, 0, 0, -352, 0, -8567, 0, 6156, 0, -1668, 0, 0, 0, -10836, 0, -1116, 0, 3878, 0, -9450, 0, 0, 0, -9604, 0, -3546, 0, 2272, 0, 1088, 0, 0, 0, -13546, 0, 408, 0, -24, 0, 16884, 0, 0, 0, 648, 0, 13746, 0, -15176, 0, -9120, 0, 0, 0, -15106, 0, 5982, 0, -3488, 0, 1400, 0, 0, 0, 17332, 0, 2816, 0, 12198, 0, 1290, 0, 0, 0, 11712, 0, -20544, 0, -2630, 0, -972, 0, 0, 0, -20320, 0, 3408, 0, -696, 0, -15386, 0, 0, 0, -8934, 0, 20408, 0, -1620, 0, -6000, 0, 0, 0, 192, 0, 428, 0, -24000, 0, 1680, 0, 0, 0, -1674, 0, -864, 0, 15810, 0, -7716, 0, 0, 0, 27324, 0, 2736, 0, 4224, 0, -9450, 0, 0, 0, 3582, 0, 10804, 0, 1534, 0, -36, 0, 0, 0, -8520, 0, 1824, 0, -1576, 0, -1306, 0, 0, 0, 6398, 0, -656, 0, 15372, 0, 20396, 0, 0, 0, -3570, 0, 2100, 0, -11592, 0, 288, 0, 0, 0, -556, 0, 11586, 0, 3618, 0, -3424, 0, 0, 0, 1232, 0, 30518, 0, 1224, 0, -10560, 0, 0, 0, -4920, 0, -13088, 0, 9728, 0, 7002, 0, 0, 0, -6064, 0, 729, 0, 136, 0, -3522, 0, 0, 0, -432, 0, 39040, 0, 288, 0, 14868, 0, 0, 0, -3924, 0, -5856, 0, -4016, 0, 2316, 0, 0, 0, 7958, 0, -720, 0, 15890, 0, -4432, 0, 0, 0, 4104, 0, 6834, 0, 18642, 0, 3694, 0, 0, 0, -5136, 0, 4448, 0, -384, 0, 3834, 0, 0, 0, -38284, 0, 14844, 0, 3792, 0, -2364, 0, 0, 0, -3258, 0, -232, 0, -6750, 0, 1592, 0, 0, 0, 21114, 0, 29754, 0, -42848, 0, 2184, 0, 0, 0, -1088, 0, 432, 0, -6454, 0, -19128, 0, 0, 0, -7060, 0, -4666, 0, 21822, 0, -558, 0, 0, 0, 4752, 0, -33792, 0, -4225, 0, -5142, 0, 0, 0, -10520, 0, -12948, 0, 12840, 0, -23146, 0, 0, 0, 40698, 0, 40136, 0, 6672, 0, -1396, 0, 0, 0, 14727, 0, 544, 0, -648, 0, -738, 0, 0, 0, 34646, 0, -18234, 0, -15302, 0, 26300, 0, 0, 0, 12052, 0, 6720, 0, 324, 0, 1856, 0, 0, 0, -1080, 0, 24992, 0, 700, 0, -1632, 0, 0, 0, -18260, 0, 1386, 0, -10280, 0, -1744, 0, 0, 0, 11872, 0, -34504, 0, -4692, 0, -576, 0, 0, 0, 10944, 0, 28266, 0, 4464, 0, -15648, 0, 0, 0, 51494, 0, -17370, 0, 5338, 0, -16680, 0, 0, 0, 47644, 0, 2388, 0, 11838, 0, 13906, 0, 0, 0, 1704, 0, -8048, 0, 1185, 0, -6588, 0, 0, 0, -8536, 0, 96, 0, 22572, 0, 11200, 0, 0, 0, 51474, 0, -3000, 0, -4986, 0, -6412, 0, 0, 0, 2784, 0, 4080, 0, -54008, 0, 29976, 0, 0, 0, 30846, 0, -5778, 0, 192, 0, 1368, 0, 0, 0, -5600, 0, 7826, 0, 9822, 0, -3922, 0, 0, 0, 4266, 0, -1332, 0, -50546, 0, 2112, 0, 0, 0, 816, 0, 14928, 0, 41592, 0, 5950, 0, 0, 0, -788, 0, -600, 0, -16740, 0, 16, 0, 0, 0, 12462, 0, -5838, 0, -26992, 0, 486, 0, 0, 0, -17984, 0, -8406, 0, -3070, 0, 8840, 0, 0, 0, -328, 0, -10274, 0, 144, 0, -30388, 0, 0, 0, 33888, 0, -2616, 0, -6960, 0, 19809, 0, 0, 0, -28224, 0, -11835, 0, 59548, 0, -9226, 0, 0, 0, 57474, 0, -23120, 0, 31608, 0, -35724, 0, 0, 0, 7506, 0, 7346, 0, 616, 0, -8400, 0, 0, 0, 58326, 0, -6666, 0, -10944, 0, -17652, 0, 0, 0, -16740, 0, 35482, 0, 2556, 0, 4864, 0, 0, 0, 4536, 0, -216, 0, 2016, 0, 7560, 0, 0, 0, -37664, 0, 23748, 0, 33360, 0, -65242, 0, 0, 0, -4500, 0, 6304, 0, -1836, 0, -18220, 0, 0, 0, 29850, 0, 7072, 0, -76144, 0, -360, 0, 0, 0, -2928, 0, 13356, 0, 19962, 0, -17288, 0, 0, 0, -16524, 0, 39476, 0, 28662, 0, -18686, 0, 0, 0, -1152, 0, -2216, 0, 42818, 0, 19170, 0, 0, 0, -192, 0, 3168, 0, 11184, 0, 35030, 0, 0, 0, 46986, 0, 21000, 0, -2568, 0, -65420, 0, 0, 0, 39090, 0, 8826, 0, -49520, 0, -9054, 0, 0, 0, 30830, 0, -16416, 0, 796, 0, 1896, 0, 0, 0, -9656, 0, 30002, 0, 12600, 0, 28896, 0, 0, 0, -6300, 0, -13796, 0, -492, 0, -10434, 0, 0, 0, 25200, 0, 3132, 0, 48928, 0, 1728, 0, 0, 0, -74426, 0, -16328, 0, 9456, 0, 13972, 0, 0, 0, 216, 0, 68962, 0, -31944, 0, -25512, 0, 0, 0, -52554, 0, -48306, 0, 5810, 0, 4912, 0, 0, 0, -33140, 0, 64, 0, 2880, 0, 924, 0, 0, 0, 3216, 0, 32264, 0, 13402, 0, 7533, 0, 0, 0, -88808, 0, -33228, 0, -10584, 0, -11968, 0, 0, 0, 24320, 0, 7296, 0, 18, 0, 272, 0, 0, 0, 29730, 0, 1536, 0, -15952, 0, 3336, 0, 0, 0, 41040, 0, -20232, 0, -11158, 0, 16472, 0, 0, 0, -7764, 0, -4857, 0, -11394, 0, -33498, 0, 0, 0, 162, 0, -32528, 0, 86518, 0, 25218, 0, 0, 0, -6368, 0, 54120, 0, -4392, 0, -31232, 0, 0, 0, 3360, 0, 69296, 0, -25452, 0, -23640, 0, 0, 0, 2592, 0, 32386, 0, -872, 0, -26010, 0, 0, 0, -3324, 0, -816, 0, 39618, 0, 30696, 0, 0, 0, 64116, 0, 55686, 0, -9450, 0, -68286, 0, 0, 0, 6408, 0, 51584, 0, 5936, 0, -3852, 0, 0, 0, -8304, 0, 4320, 0, -30972, 0, 47750, 0, 0, 0, 20416, 0, -108408, 0, 9456, 0, -512, 0, 0, 0, 2268, 0, 2844, 0, -28904, 0, 35436, 0, 0, 0, -4480, 0, 852, 0, 20306, 0, 21692, 0, 0, 0, 6276, 0, 12658, 0, 2304, 0, -50034, 0, 0, 0, -31056, 0, 49740, 0, -2176, 0, 7956, 0, 0, 0, -4024, 0, -3900, 0, 79296, 0, -1500, 0, 0, 0, -59492, 0, 49104, 0, -19449, 0, 48484, 0, 0, 0, 13194, 0, 5600, 0, -54808, 0, -9552, 0, 0, 0, -49700, 0, -1296, 0, -6480, 0, -54152, 0, 0, 0, 96, 0, -6186, 0, 1392, 0, 4882, 0, 0, 0, 12582, 0, 15944, 0, -4864, 0, -4950, 0, 0, 0, 32056, 0, -51828, 0, 47508, 0, -7890, 0, 0, 0, 6976, 0, 85504, 0, 1056, 0, 85692, 0, 0, 0, 25701, 0, -40992, 0, 14552, 0, -18468, 0, 0, 0, -11250, 0, 5004, 0, -57726, 0, 9520, 0, 0, 0, 51236, 0, -91542, 0, 32508, 0, 29190, 0, 0, 0, 3348, 0, -52636, 0, -51746, 0, -11634, 0, 0, 0, -105756, 0, 28350, 0, -30896, 0, -5760, 0, 0, 0, -39474, 0, 8, 0, 28812, 0, -61600, 0, 0, 0, 10638, 0, -164, 0, 5040, 0, -6816, 0, 0, 0, -40866, 0, -3264, 0, -8992, 0, 9008, 0, 0, 0, -10340, 0, 118, 0, 40638, 0, 13120, 0, 0, 0, -1224, 0, 23880, 0, 8363, 0, 72, 0, 0, 0, -18672, 0, -50652, 0, 12000, 0, 60814, 0, 0, 0, 80362, 0, -4560, 0, -1944, 0, 8904, 0, 0, 0, -41238, 0, -84630, 0, -97128, 0, 45528, 0, 0, 0, 308, 0, 27360, 0, 10298, 0, -93188, 0, 0, 0, -11560, 0, -768, 0, 45318, 0, 132702, 0, 0, 0, -17946, 0, -24824, 0, -22370, 0, 10464, 0, 0, 0, 135596, 0, -4200, 0, 2432, 0, 55262, 0, 0, 0, -6176, 0, 65112, 0, -51996, 0, -18904, 0, 0, 0, -8448, 0, 55948, 0, 1920, 0, -36594, 0, 0, 0, -19082, 0, -3870, 0, -6036, 0, 142432, 0, 0, 0, -57588, 0, -79178, 0, -35136, 0, 1008, 0, 0, 0, 61632, 0, -49712, 0, -63782, 0, 7890, 0, 0, 0, 8400, 0, 2916, 0, 7292, 0, -59706, 0, 0, 0, 8160, 0, -1464, 0, 60960, 0, 135132, 0, 0, 0, -10224, 0, -120384, 0, 72936, 0, 2088, 0, 0, 0, 3536, 0, 46158, 0, -39584, 0, 1312, 0, 0, 0, 77852, 0, -74883, 0, 26802, 0, -1108, 0, 0, 0, -61224, 0, -8644, 0, -44058, 0, 4860, 0, 0, 0, -85476, 0, 18000, 0, -141520, 0, 49182, 0, 0, 0, -135954, 0, 65696, 0, -576, 0, -56304, 0, 0, 0, -1284, 0, -136286, 0, 69344, 0, 72000, 0, 0, 0, -5824, 0, -5040, 0, -86598, 0, 5592, 0, 0, 0, 143652, 0, -26160, 0, 5022, 0, 19482, 0, 0, 0, 2592, 0, -2464, 0, 948, 0, -47430, 0, 0, 0, 32248, 0, 23148, 0, -76956, 0, 8782, 0, 0, 0, 12, 0, -58192, 0, -81972, 0, 15336, 0, 0, 0, -8208, 0, -98166, 0, -131552, 0, -12672, 0, 0, 0, -19456, 0, 28350, 0, 74900, 0, -13488, 0, 0, 0, 13712, 0, 14448, 0, -10746, 0, 124942, 0, 0, 0, -32412, 0, -30276, 0, 34528, 0, -4602, 0, 0, 0, -98356, 0, 108, 0, 12600, 0, 86446, 0, 0, 0, -162378, 0, -17152, 0, 25560, 0, 61404, 0, 0, 0, -5472, 0, 77562, 0, 97624, 0, 4728, 0, 0, 0, -94498, 0, 3918, 0, -7888, 0, -39272, 0, 0, 0, -87852, 0, -23314, 0, -19194, 0, 11712, 0, 0, 0, 1968, 0, 11368, 0, -17340, 0, -46116, 0, 0, 0, -45000, 0, -61188, 0, 48624, 0, -8962, 0, 0, 0, -2630, 0, 13632, 0, 10710, 0, 24444, 0, 0, 0, -6300, 0, -69974, 0, 8864, 0, 34776, 0, 0, 0, 19008, 0, -864, 0, 67834, 0, -125644, 0, 0, 0, 63612, 0, -177190, 0, 1668, 0, 2880, 0, 0, 0, -34758, 0, -142036, 0, 12160, 0, -10854, 0, 0, 0, -18972, 0, 10272, 0, -136192, 0, 45302, 0, 0, 0, -56516, 0, 1512, 0, -3696, 0, -7976, 0, 0, 0, -91554, 0, 92930, 0, 148568, 0, -3672, 0, 0, 0, -103458, 0, 31680, 0, -55118, 0, 93176, 0, 0, 0, -7584, 0, 12512, 0, 14760, 0, -37398, 0, 0, 0, 39264, 0, 1680, 0, 85858, 0, -29184, 0, 0, 0, -16264, 0, -21006, 0, 5304, 0, -97300, 0, 0, 0, 41728, 0, -66856, 0, 18192, 0, 146376, 0, 0, 0, -2187, 0, -15616, 0, 46320, 0, -408, 0, 0, 0, -26148, 0, 10566, 0, 16896, 0, -154892, 0, 0, 0, 40524, 0, -90367, 0, 1296, 0, -4994, 0, 0, 0, -117120, 0, -31568, 0, -43634, 0, -864, 0, 0, 0, 2968, 0, -44604, 0, -4920, 0, -4544, 0, 0, 0, -55418, 0, 73272, 0, 11772, 0, -155412, 0, 0, 0, 17568, 0, 8388, 0, -89552, 0, 12048, 0, 0, 0, -84316, 0, -6948, 0, -256, 0, -70048, 0, 0, 0, -42108, 0, 100462, 0, -23874, 0, -24478, 0, 0, 0, 2160, 0, 23800, 0, -180070, 0, -47670, 0, 0, 0, 101640, 0, 13296, 0, -19312, 0, -117602, 0, 0, 0, -157062, 0, 21040, 0, -12312, 0, 32364, 0, 0, 0, -20502, 0, -129942, 0, 59608, 0, -55926, 0, 0, 0, -79936, 0, -11082, 0, -2240, 0, 9240, 0, 0, 0, 21672, 0, -2012, 0, 15408, 0, -101162, 0, 0, 0, -13344, 0, -49604, 0, 101798, 0, 1152, 0, 0, 0, 67916, 0, -11502, 0, -36048, 0, 18900, 0, 0, 0, -157682, 0, -26192, 0, 114852, 0, 2800, 0, 0, 0, -44532, 0, 72960, 0, 198688, 0, -11376, 0, 0, 0, 27158, 0, 7092, 0, 71538, 0, 66608, 0, 0, 0, -5632, 0, 124878, 0, 9774, 0, 92058, 0, 0, 0, 696, 0, 98048, 0, 55889, 0, 20250, 0, 0, 0, 61912, 0, -4776, 0, -74140, 0, -13440, 0, 0, 0, 43258, 0, -190152, 0, -63342, 0, -49572, 0, 0, 0, -89262, 0, 44640, 0, 48, 0, 128544, 0, 0, 0, -213826, 0, -6552, 0, 92954, 0, -33232, 0, 0, 0, -77892, 0, -23936, 0, 3264, 0, -2432, 0, 0, 0, -1296, 0, -14004, 0, -43920, 0, 19362, 0, 0, 0, 146660, 0, 57384, 0, 22416, 0, -10346, 0, 0, 0, 106854, 0, -23112, 0, 21180, 0, 18240, 0, 0, 0, 13998, 0, -23744, 0, -40600, 0, -65466, 0, 0, 0, -20496, 0, 1674, 0, 109532, 0, 136256, 0, 0, 0, -33240, 0, -11964, 0, -14256, 0, -90368, 0, 0, 0, 101376, 0, 4760, 0, -63462, 0, 12675, 0, 0, 0, -52824, 0, 15426, 0, 99732, 0, 4, 0, 0, 0, 46512, 0, -225320, 0, 31560, 0, -141036, 0, 0, 0, 38844, 0, -184182, 0, 207464, 0, -38520, 0, 0, 0, 47854, 0, 69438, 0, -24396, 0, -15448, 0, 0, 0, -4496, 0, -84288, 0, -122094, 0, 76736, 0, 0, 0, -120408, 0, -152916, 0, 106500, 0, -20016, 0, 0, 0, -23424, 0, 4188, 0, -115992, 0, 123822, 0, 0, 0, -97650, 0, 28440, 0, -44181, 0, 16096, 0, 0, 0, -1632, 0, 78138, 0, 17776, 0, 1944, 0, 0, 0, 21430, 0, 2214, 0, -242598, 0, -26792, 0, 0, 0, -20544, 0, 6560, 0, -103938, 0, -36750, 0, 0, 0, 54702, 0, -6816, 0, -22400, 0, 45906, 0, 0, 0, 203224, 0, -78900, 0, -9336, 0, -12096, 0, 0, 0, -16350, 0, 65224, 0, -36156, 0, 14940, 0, 0, 0, -20160, 0, -5780, 0, 62800, 0, -972, 0, 0, 0, 79190, 0, -5568, 0, -63328, 0, 114116, 0, 0, 0, -200300, 0, -66446, 0, 3240, 0, 202974, 0, 0, 0, -74976, 0, 5228, 0, 85172, 0, -2100, 0, 0, 0, 261444, 0, 4896, 0, 146424, 0, 84134, 0, 0, 0, -384, 0, 101280, 0, 54780, 0, -79600, 0, 0, 0, -4158, 0, 87770, 0, -47080, 0, 30840, 0, 0, 0, 960, 0, 5232, 0, -187566, 0, -3360, 0, 0, 0, 30024, 0, 23550, 0, -35616, 0, -79494, 0, 0, 0, 103512, 0, 132000, 0, -3088, 0, 14076, 0, 0, 0, -123464, 0, 1728, 0, 504, 0, -79344, 0, 0, 0, -1406, 0, -76432, 0, -32832, 0, -78900, 0, 0, 0, -84798, 0, 105658, 0, 56064, 0, -13392, 0, 0, 0, 241262, 0, 46944, 0, 175018, 0, 156348, 0, 0, 0, -51120, 0, -26377, 0, -154482, 0, 11644, 0, 0, 0, 52110, 0, 151524, 0, -8448, 0, -16014, 0, 0, 0, -24856, 0, 50040, 0, -32, 0, 30878, 0, 0, 0, 57006, 0, 1768, 0, -142932, 0, -105204, 0, 0, 0, -7164, 0, 6848, 0, 228024, 0, -35514, 0, 0, 0, 126094, 0, -41718, 0, 41426, 0, -104240, 0, 0, 0, 45704, 0, 35968, 0, -5112, 0, -4322, 0, 0, 0, 24144, 0, 263136, 0, -7344, 0, -3555, 0, 0, 0, 238232, 0, 19764, 0, -190836, 0, -19792, 0, 0, 0, 284362, 0, -3648, 0, 25608, 0, 218988, 0, 0, 0, -288, 0, -245078, 0, 26688, 0, -67716, 0, 0, 0, -25442, 0, -33600, 0, 50400, 0, 29104, 0, 0, 0, -284004, 0, -21868, 0, -154422, 0, 16800, 0, 0, 0, 9000, 0, 205220, 0, 2796, 0, 14958, 0, 0, 0, 27824, 0, 19236, 0, -30744, 0, 198270, 0, 0, 0, -8778, 0, -28152, 0, -8352, 0, -15172, 0, 0, 0, -12240, 0, 24202, 0, -60712, 0, 162024, 0, 0, 0, 7140, 0, -89928, 0, -2912, 0, 46240, 0, 0, 0, -172672, 0, 109926, 0, -92538, 0, -110644, 0, 0, 0, 17334, 0, 9264, 0]}