# Stored data for newform 1472.4.a.w, downloaded from the LMFDB on 11 February 2025.
{"Nk2": 23552, "analytic_conductor": 86.85081152845018, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [23, 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": [1472, 1, [1151, 645, 833], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 1229, "field_disc_factorization": [[1229, 1]], "field_poly": [6, -7, -1, 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": [[3, [24, -17, -4, 1]]], "hecke_orbit": 23, "hecke_orbit_code": 99079191869261248, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "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": "1472.4.a.w", "level": 1472, "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, 23], "level_radical": 46, "minimal_twist": "92.4.a.a", "nf_label": "3.3.1229.1", "prim_orbit_index": 1, "qexp_display": "q+(1+\\beta _{2})q^{3}+(4+\\beta _{1}-3\\beta _{2})q^{5}+(-18+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1472.4.a", "trace_display": [0, 4, 10, -46], "trace_hash": 1227194436556201449, "trace_moments": [{"__RealLiteral__": 0, "data": "0.044", "prec": 17}, {"__RealLiteral__": 0, "data": "2.915", "prec": 17}, {"__RealLiteral__": 0, "data": "0.467", "prec": 17}, {"__RealLiteral__": 0, "data": "22.132", "prec": 20}, {"__RealLiteral__": 0, "data": "5.774", "prec": 17}, {"__RealLiteral__": 0, "data": "249.072", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 3, 0, 4, 0, 10, 0, -46, 0, -31, 0, 64, 0, 44, 0, -134, 0, -88, 0, 94, 0, 6, 0, -69, 0, 181, 0, -20, 0, -308, 0, -140, 0, 510, 0, -192, 0, -26, 0, 180, 0, 584, 0, 478, 0, -640, 0, -28, 0, 695, 0, -334, 0, -356, 0, -1004, 0, 520, 0, -144, 0, 1052, 0, 120, 0, 150, 0, 2008, 0, -92, 0, 360, 0, -252, 0, 88, 0, 576, 0, -720, 0, -325, 0, 1404, 0, 1632, 0, -156, 0, 534, 0, 1526, 0, 2342, 0, -108, 0, 736, 0, 18, 0, -302, 0, -2174, 0, 3784, 0, -566, 0, -1400, 0, 966, 0, -1684, 0, -230, 0, -1314, 0, 7076, 0, 2327, 0, -1904, 0, -948, 0, -1384, 0, 928, 0, 904, 0, 3556, 0, 3238, 0, 3822, 0, 2576, 0, 3022, 0, 4110, 0, -1830, 0, -2984, 0, 1712, 0, 2480, 0, -3350, 0, -8514, 0, 4992, 0, -3204, 0, 1058, 0, -2540, 0, -2660, 0, 2756, 0, -1177, 0, -2470, 0, 10442, 0, -7042, 0, -636, 0, -3512, 0, 7866, 0, -3072, 0, -5772, 0, 2116, 0, -3606, 0, -2094, 0, -3004, 0, 1954, 0, -2472, 0, -3134, 0, 4722, 0, 5290, 0, 11786, 0, 713, 0, 10160, 0, -4760, 0, -846, 0, -1640, 0, 7426, 0, -4560, 0, 11438, 0, -8416, 0, 107, 0, 7892, 0, -6888, 0, -10432, 0, 2092, 0, -12826, 0, 8688, 0, 932, 0, 6324, 0, -4136, 0, 11474, 0, 12136, 0, 8842, 0, 5604, 0, -1472, 0, 18176, 0, 9256, 0, -10016, 0, 3810, 0, 9172, 0, 10164, 0, 11556, 0, -10340, 0, -6968, 0, -2578, 0, -1632, 0, 520, 0, 7888, 0, 3936, 0, 8336, 0, 3796, 0, -8046, 0, 28845, 0, 9194, 0, -3096, 0, -2464, 0, -13422, 0, -1012, 0, -18264, 0, 7188, 0, 18780, 0, 17892, 0, -3054, 0, -8992, 0, -14062, 0, 10160, 0, 958, 0, -3966, 0, -108, 0, 24384, 0, -6640, 0, 2768, 0, -8166, 0, -3440, 0, 10320, 0, 1820, 0, -6138, 0, -12238, 0, 22522, 0, -19484, 0, 3082, 0, -9912, 0, -16696, 0, -8220, 0, -5808, 0, 3446, 0, 6516, 0, 3824, 0, 6987, 0, 11472, 0, 16358, 0, -10106, 0, -16774, 0, 13084, 0, -10330, 0, 444, 0, -3422, 0, -12426, 0, -3106, 0, -17992, 0, 40184, 0, 2726, 0, 692, 0, 2024, 0, -6910, 0, -39140, 0, -11504, 0, -8916, 0, -11796, 0, 8044, 0, 18194, 0, -2964, 0, 16888, 0, 6336, 0, -15704, 0, -14752, 0, -1090, 0, -7690, 0, 1994, 0, 17072, 0, -31200, 0, -20308, 0, 1094, 0, 25648, 0, 10692, 0, 13070, 0, -2162, 0, 9412, 0, -7279, 0, -5552, 0, -34576, 0, 11240, 0, -4718, 0, -8094, 0, 7298, 0, 21072, 0, 25272, 0, -8434, 0, 13936, 0, -12536, 0, -1350, 0, 918, 0, -18352, 0, 28740, 0, 1588, 0, -15054, 0, -11268, 0, -10638, 0, -23894, 0, -138, 0, -25480, 0, 21708, 0, 13486, 0, 8812, 0, 9010, 0, -9520, 0, -18158, 0, 9664, 0, 14372, 0, -11544, 0, -12764, 0, -5528, 0, 19864, 0, 13822, 0, -21224, 0, -6184, 0, 15282, 0, 15016, 0, -25646, 0, 33356, 0, 3434, 0, 1526, 0, 1587, 0, 10548, 0, 12174, 0, -7028, 0, -25350, 0, -41064, 0, -9784, 0, 12054, 0, -25824, 0, 41728, 0, -25368, 0, -6520, 0, 1004, 0, -29356, 0, 3316, 0, -17220, 0, -47976, 0, 182, 0, 26944, 0, 25002, 0, -23556, 0, -18632, 0, 12746, 0, -4163, 0, -7200, 0, 11292, 0, 6772, 0, -21804, 0, -8908, 0, 5676, 0, 25000, 0, -5856, 0, 12698, 0, 24776, 0, -44774, 0, 12720, 0, -9008, 0, -20442, 0, -20510, 0, -32364, 0, -7022, 0, -21156, 0, 10214, 0, -3698, 0, -3550, 0, 450, 0, 460, 0, 5224, 0, -40297, 0, 5148, 0, -82784, 0, 34700, 0, 12628, 0, -5958, 0, -41592, 0, -1176, 0, -8750, 0, 34308, 0, -47616, 0, 35956, 0, -24536, 0, -63958, 0, 1400, 0, 12906, 0, -19422, 0, -24404, 0, 1500, 0, 1338, 0, 57856, 0, 7084, 0, -12408, 0, -17532, 0, 16180, 0, 12376, 0, 35648, 0, -3124, 0, 8206, 0, -19124, 0, 7696, 0, -6848, 0, 13192, 0, 18604, 0, -42344, 0, 26006, 0, 28570, 0, -18928, 0, -17734, 0, -49204, 0, -40910, 0, 82476, 0, -22118, 0, 50124, 0, 3220, 0, 40604, 0, 2902, 0, -52920, 0, 35852, 0, -16358, 0, -20264, 0, 29718, 0, 6599, 0, -90492, 0, -30550, 0, -55454, 0, 71632, 0, 33368, 0, 5928, 0, -4250, 0, -25380, 0, -5002, 0, -5388, 0, 17628, 0, 22018, 0, 8822, 0, -2654, 0, -11730, 0, -78448, 0, -896, 0, 14056, 0, -41252, 0, -39052, 0, 22728, 0, -70484, 0, -23584, 0, -27752, 0, 18368, 0, -15566, 0, -4860, 0, -50848, 0, 51810, 0, 33088, 0, 8740, 0, 8924, 0, 53420, 0, -53040, 0, -101186, 0, 27642, 0, -29210, 0, 4416, 0, -28700, 0, -49258, 0, 72320, 0, -50048, 0, -55610, 0, -37044, 0, -31436, 0, -40066, 0, -9552, 0, 45674, 0, -19986, 0, -40746, 0, -2792, 0, -124904, 0, -23824, 0, -66862, 0, -52310, 0, -40057, 0, -53202, 0, 30596, 0, -26366, 0, 51894, 0, 598, 0, 63258, 0, -17632, 0, 59596, 0, 67992, 0, 70026, 0, 87556, 0, 23276, 0, 77504, 0, 51788, 0, 55586, 0, 18706, 0, -27280, 0, 21910, 0, -32860, 0, 18064, 0, -53484, 0, -29600, 0, -20704, 0, -8194, 0, -20856, 0, -37240, 0, 58886, 0, -4140, 0, 29084, 0, 101164, 0, -8672, 0, 24980, 0, -21482, 0, -14742, 0, 71276, 0, 114012, 0, -22172, 0, -110474, 0, -79654, 0, 46156, 0, -21728, 0, 47458, 0, 20364, 0, -42188, 0, -102586, 0, 16770, 0, 212616, 0, 14164, 0, -31780, 0, 12450, 0, -13432, 0, -115496, 0, 16448, 0, 20746, 0, 50988, 0, -32858, 0, -88572, 0, -47126, 0, -61504, 0, 62661, 0, 16746, 0, -36442, 0, 70776, 0, -12220, 0, 14142, 0, -33846, 0, 8888, 0, -36292, 0, 111556, 0, 45496, 0, -10772, 0, 9706, 0, -80094, 0, -10994, 0, 9016, 0, -69162, 0, 124668, 0, 27178, 0, 3354, 0, -7448, 0, -107424, 0, -77868, 0, 21080, 0, 29894, 0, 74164, 0, -12724, 0, 43920, 0, -10322, 0, 17616, 0, 3460, 0, 29798, 0, 22652, 0, -38428, 0, 94524, 0, -25246, 0, 101194, 0, 14720, 0, 7796, 0, 31568, 0, -75656, 0, -20452, 0, 85416, 0, 36584, 0, -47200, 0, -17820, 0, 41820, 0, -102888, 0, 36594, 0, 15608, 0, -47708, 0, 33740, 0, -33806, 0, 89564, 0, -1258, 0, -56256, 0, 5990, 0, 77882, 0, -27944, 0, 78670, 0, 644, 0, -16668, 0, 247064, 0, -532, 0, 2169, 0, 13034, 0, 27808, 0, 65266, 0, 45046, 0, -16472, 0, 53378, 0, -104342, 0, 123896, 0, 52408, 0, 146466, 0, 132128, 0, 70684, 0, -47912, 0, 92218, 0, -110098, 0, -91200, 0, -32802, 0, 41376, 0, -15985, 0, -127552, 0, -20420, 0, -45104, 0, 5296, 0, 26996, 0, -7076, 0, 106938, 0, 27160, 0, -13496, 0, 38786, 0, -61736, 0, -27960, 0, 42304, 0, 36776, 0, 30832, 0, 5752, 0, 16720, 0, -35320, 0, 95594, 0, -72452, 0, -14760, 0, -108584, 0, 7682, 0, 45920, 0, -20968, 0, 17788, 0, -51930, 0, 119388, 0, -63244, 0, -984, 0, -74262, 0, 7368, 0, 46222, 0, 1302, 0, -79152, 0, -15152, 0, 134680, 0, -11214, 0, 85644, 0, -74346, 0, -27946, 0, -198084, 0, 54152, 0, 3376, 0, 89894, 0, 8188, 0, 74308, 0, 84820, 0, 137681, 0, 126312, 0, 63272, 0, 52848, 0, -33042, 0, 119692, 0, 59288, 0, 7496, 0, 135630, 0, -132948, 0, -53424, 0, -49692, 0, -4048, 0, -47204, 0, 34802, 0, 4048, 0, -83924, 0, 106138, 0, 23822, 0, 39174, 0, 23092, 0, -98624, 0, -45878, 0, -171200, 0, 125888, 0, -43186, 0, -132836, 0, 79626, 0, 115820, 0, -51400, 0, -7406, 0, -92480, 0, 65352, 0, -55072, 0, -31540, 0, 15864, 0, 94448, 0, -60398, 0, 5416, 0, 118996, 0, 68332, 0, -57010, 0, 81016, 0, -11960, 0, 162276, 0, -68092, 0, -65006, 0, -40200, 0, 14422, 0, 139672, 0, -63764, 0, -133896, 0, -27450, 0, 40728, 0, -24048, 0, -76760, 0, -96168, 0, -26254, 0, 12868, 0, -187908, 0, 44698, 0, 20800, 0, -51504, 0, 189270, 0, 12474, 0, 99472, 0, 3312, 0, -55232, 0, -134012, 0, 17676, 0, -39928, 0, 3350, 0, 25685, 0, 33554, 0, 55080, 0, -48376, 0, 204448, 0, 81554, 0, 120056, 0, -50104, 0, 5122, 0, 33144, 0, 16584, 0, -39636, 0, -7088, 0, 56076, 0, -69026, 0, -69566, 0, -77872, 0, -24196, 0, 208816, 0, -45840, 0, 39728, 0, 42440, 0, -3708, 0, -119748, 0, -72512, 0, 140512, 0, -97392, 0, -1494, 0, 33520, 0, 145760, 0, 16864, 0, 43572, 0, -3104, 0, -248320, 0, 87298, 0, 143656, 0, -142250, 0, -19298, 0, -5122, 0, -98572, 0, -2760, 0, -408, 0, 32002, 0, -77336, 0, 153370, 0, 62032, 0, 21682, 0, -49216, 0, 68384, 0, 49568, 0, -56282, 0, -73338, 0, -29722, 0, 68704, 0, -20576, 0, 6054, 0, -188702, 0, -5570, 0, -23996, 0, 183418, 0, 140154, 0, 32138, 0, 143646, 0, -3450, 0, 109414, 0, -181100, 0, -55296, 0, -4328, 0, -77088, 0, 88556, 0, 66288, 0, 7424, 0, -87636, 0, 127060, 0, -129546, 0, -283760, 0, -63685, 0, 58302, 0, 67532, 0, 64424, 0, 24410, 0, -116252, 0, 109622, 0, -27344, 0, 23336, 0, 79118, 0, -46184, 0, -101924, 0, 103824, 0, 3036, 0, 18996, 0, 129006, 0, 94310, 0, -118306, 0, -80962, 0, 130076, 0, 8392, 0, -31244, 0, 22376, 0, -22152, 0, 67514, 0, 53738, 0, 49600, 0, 66424, 0, 190984, 0, 75266, 0, -268394, 0, -89598, 0, -133116, 0, 2116, 0, -267764, 0, 150216, 0, 53628, 0, 100900, 0, 52782, 0, 60984, 0, -46196, 0, 194984, 0, -10580, 0, -73504, 0, 20584, 0, -30816, 0, 47862, 0, 315776, 0, 110886, 0, -115296, 0, 104198, 0, -57488, 0, -106924, 0, 65196, 0, -88524, 0, 20114, 0, -8280, 0, -21888, 0, -226352, 0, 113980, 0, -30442, 0, -119116, 0, 193976, 0, 100560, 0, -89272, 0, -84256, 0, -56952, 0, 193758, 0, 33216, 0, -250436, 0, 159458, 0, -79020, 0, 20920, 0, 154954, 0, 84314, 0, 35668, 0, 6554, 0, 72968, 0, 17200, 0, 5796, 0, 94787, 0, -282972, 0, -350784, 0, -220368, 0, 18792, 0, 98460, 0, 203502, 0, 113584, 0, -6986, 0, -76610, 0, 209328, 0, -194420, 0, 14900, 0, -165358, 0, 14650, 0, 8804, 0, -48162, 0, -452080, 0, 410296, 0, 157648, 0, -24302, 0, 132970, 0, -2024, 0, 343240, 0, 25548, 0, -66972, 0, -90232, 0, 135792, 0, 3246, 0, 240474, 0, 8292, 0, -169964, 0, -261238, 0, 63318, 0, -179660, 0, 82684, 0, 42394, 0, -95330, 0, 102740, 0, 56590, 0, -120674, 0, 14180, 0, -108530, 0, -59668, 0, -133004, 0, -13248, 0, -10374, 0, 73084, 0, -56564, 0, 125512, 0, 48932, 0, 29888, 0, -396376, 0, -45488, 0, 64694, 0, -88792, 0, 148786, 0, 142356, 0, -79952, 0, -146262, 0, -193876, 0, 127404, 0, 204090, 0, 52932, 0, -87810, 0, 61578, 0, 149598, 0, -147054, 0, 16560, 0, -85808, 0, 67052, 0, -98044, 0, -72536, 0, -34996, 0, -46004, 0, -71338, 0, -37314, 0, -278744, 0, 171872, 0, 79574, 0, -258508, 0, 75376, 0, -154996, 0, -178494, 0, -19445, 0, -180524, 0, -175120, 0, -148944, 0, 32780, 0, 44562, 0, 73160, 0, 7475, 0, 248332, 0, 7292, 0, -273856, 0, 78964, 0, -103398, 0, -73632, 0, -59412, 0, 20964, 0, -200844, 0, 285930, 0, -1254, 0, -237024, 0, 14838, 0, -298304, 0, 47532, 0, -162664, 0, -13296, 0, 177428, 0, 76792, 0, 193536, 0, 6686, 0, 86892, 0, -32292, 0, 58776, 0, -28598, 0, 18456, 0, 56838, 0, 376340, 0, 84552, 0, -8564, 0, 44144, 0, -260512, 0, 92090, 0, -41010, 0, 238400, 0, -94344, 0, 32492, 0, -53766, 0, -16034, 0, -192626, 0, 241472, 0, 44240, 0, -214220, 0, 95006, 0, -226652, 0, -37536, 0, -56284, 0, 139696, 0, -210676, 0, 198144, 0, -191250, 0, -133972, 0, -259310, 0, 69864, 0, -241924, 0, 31592, 0, -47494, 0, -192144, 0, -131464, 0, 166704, 0, -175722, 0, -180144, 0, -278112, 0, 202324, 0, -35952, 0, -89840, 0, -155700, 0, -43538, 0, 3588, 0, -178608, 0, -50284, 0, 154848, 0, 269132, 0, -72754, 0, 60236, 0, 125462, 0, 61604, 0, -2700, 0, 179216, 0, -245858, 0, -121267, 0, 244584, 0, -188716, 0, -51128, 0, -84220, 0, -369056, 0, -207140, 0, 217362, 0, 192124, 0, -2302, 0, -225578, 0, -12282, 0, 16250, 0, -76184, 0, -31802, 0, -186520, 0, -130648, 0, -46648, 0, 26432, 0, 104076, 0, -141296, 0, 10396, 0, -224192, 0, -143792, 0, 167832, 0, -17508, 0, 37014, 0, 264992, 0, -258368, 0, 140428, 0, -68238, 0, 179532, 0, -117564, 0, 302654, 0, -35098, 0, 253176, 0, -135458, 0, -21304, 0, -48644, 0, -21350, 0, -64456, 0, 317294, 0, -18516, 0, 35424, 0, 423338, 0, 43676, 0, 5054, 0, 102204, 0, -179356, 0, 201502, 0, -273456, 0, -82506, 0, 85524, 0, 79762, 0, -181440, 0, -455616, 0, -143044, 0, -53866, 0, -144824, 0, -17812, 0, -27988, 0, -150744, 0, -307864, 0, -15832, 0, 9460, 0, 323680, 0, -35064, 0, -134886, 0, 267378, 0, 132, 0, 236212, 0, -29566, 0, -85510, 0, 94500, 0, 158016, 0, 18256, 0, 213882, 0, 26720, 0, 22614, 0, 215456, 0, 2484, 0, 94132, 0, -446764, 0, 327312, 0, -203584, 0, 392554, 0, 111394, 0, 25134, 0, -108890, 0, 91984, 0, -182224, 0, -95714, 0, 88517, 0, 347124, 0, 255090, 0, 17610, 0, 164466, 0, 198556, 0, 202584, 0, -291348, 0, 7906, 0, -544054, 0, -82234, 0, -16928, 0, -121672, 0, -131788, 0, -12824, 0, 41572, 0, -229226, 0, 84864, 0, -33620, 0, -20500, 0, 68952, 0, 41566, 0, 80460, 0, 28532, 0, -142748, 0, -115834, 0, -6584, 0, -201248, 0, 23058, 0, 33820, 0, -8838, 0, -76642, 0, -522496, 0, 90954, 0, -414, 0, -220056, 0, 337692, 0, 16792, 0, -40136, 0, -16772, 0, -125920, 0, 124012, 0, -187168, 0, -479200, 0, -329218, 0, 131014, 0, -18796, 0, -4912, 0, 183754, 0, 1178, 0, 95226, 0, -38240, 0, -53574, 0, -36280, 0, -83486, 0, -11484, 0, -43312, 0, 6946, 0, 267862, 0, -81016, 0, -149604, 0, 56528, 0, -64150, 0, 145828, 0, 138784, 0, 189124, 0, 112884, 0, 78494, 0, 116296, 0, 45352, 0, 14460, 0, -327688, 0, 162802, 0, -258656, 0, 341214, 0, -75240, 0, -13932, 0, 28710, 0, -500656, 0, 55208, 0, 50002, 0, -38804, 0, 249028, 0, -227688, 0, -239964, 0, 101840, 0, 222754, 0, 113300, 0, 42328, 0, -650368, 0, -14710, 0, -193388, 0, -225514, 0, -343528, 0, -493282, 0, 150370, 0, 293751, 0, -272148, 0, -231468, 0, -100846, 0, -218746, 0, 282784, 0, -186576, 0, -87032, 0, 252272, 0, -94476, 0, -26254, 0, 128004, 0, 34776, 0, -81776, 0, -127776, 0, 311128, 0, 64226, 0, 77090, 0, 786, 0, -10792, 0, 33408, 0, 287298, 0, 134802, 0, -318284, 0, 540464, 0, 78784, 0, -309688, 0, 228534, 0, 97826, 0, -260572, 0, 13018, 0, -104168, 0, -71192, 0, 13504, 0, -171726, 0, 63542, 0, 142044, 0, 187222, 0, -43232, 0, -93212, 0, 157020, 0, -322242, 0, -211064, 0, 109524, 0, -448400, 0, -352668, 0, 8858, 0, -298734, 0, 3076, 0, 194114, 0, 487404, 0, -151442, 0, -143904, 0, 32200, 0, 261822, 0, -182756, 0, -5356, 0, -257348, 0, 88394, 0, -38888, 0, 534602, 0, -106632, 0, -336450, 0, 329154, 0, -218610, 0, -286004, 0, -144516, 0, 305608, 0, 187976, 0, 65568, 0, -207738, 0, 422820, 0, 36274, 0, 71010, 0, 34322, 0, -33932, 0, -22218, 0, -261440, 0, 489260, 0, -102484, 0, 61310, 0, -76918, 0, -220052, 0, 360678, 0, 133020, 0, 121040, 0, 357534, 0, -142738, 0, -56242, 0, -192432, 0, 6416, 0, 182364, 0, -466780, 0, -142922, 0, -15222, 0, 8198, 0, -197630, 0, -558260, 0, -83004, 0, 38732, 0, -267557, 0, 107820, 0, 14400, 0, 220924, 0, -208234, 0, -161624, 0, 111210, 0, 32880, 0, 79160, 0, -203530, 0, -15050, 0, 106656, 0, -53984, 0, 105482, 0, 54002, 0, -330916, 0, 22454, 0, 870720, 0, -2996, 0, -182198, 0, 100608, 0, -102826, 0, 5290, 0, -234240, 0, -117024, 0, -186808, 0, 368464, 0, 32912, 0, -31404, 0, 315400, 0, 252922, 0, -59032, 0, 35786, 0, 23622, 0, -76800, 0, 479292, 0, 84384, 0, 29814, 0, 176154, 0, -47684, 0, -11416, 0, 65912, 0, 272034, 0, 96810, 0, -182756, 0, 30222, 0, 153658, 0, -663244, 0, -240734, 0, 64128, 0, -304678, 0, 482052, 0, 210210, 0, -157228, 0, 127592, 0, 251390, 0, 23752, 0, -314876, 0, 388508, 0, 129292, 0, -1052, 0, -135528, 0, 28760, 0, -350292, 0, 276220, 0, 344316, 0, 212460, 0, 419358, 0, -162748, 0, 323176, 0, 20114, 0, -287036, 0, -272872, 0, 318606, 0, -10280, 0, 190238, 0, -231508, 0, 43604, 0, 154182, 0, 584284, 0, 424588, 0, -80032, 0, 761408, 0, -58114, 0, 23954, 0, 273534, 0, 219228, 0, 141874, 0, -303792, 0, -101762, 0, 11838, 0, -53521, 0, -117768, 0, 171284, 0, 274192, 0, -30612, 0, 175216, 0, -221712, 0, -265456, 0, 156600, 0, 31260, 0, -248288, 0, 541160, 0, 207304, 0, -87343, 0, 285102, 0, -29582, 0, -24112, 0, 28774, 0, 126936, 0, -326182, 0, 29694, 0, -58420, 0, 276218, 0, 43792, 0, 95808, 0, 275164, 0, -193888, 0, -191716, 0, -57672, 0, 146422, 0, 134140, 0, 368708, 0, 32552, 0, -341752, 0, 64886, 0, 51054, 0, -48472, 0, -70534, 0, -58956, 0, 284856, 0, 199998, 0, -306764, 0, -353280, 0, 442272, 0, -8512, 0, 761962, 0, 21804, 0, -24680, 0, -281000, 0, 217244, 0, -219928, 0, 215686, 0, -644948, 0, 23436, 0, 357264, 0, 244668, 0, 332978, 0, 299778, 0, -388160, 0, 123350, 0, -206568, 0, 654440, 0, -642332, 0, -312662, 0, 92268, 0, -4084, 0, 542680, 0, 37244, 0, 122114, 0, 31832, 0, 541924, 0, 142546, 0, -195848, 0, 87564, 0, -19670, 0, 185888, 0, 356154, 0, 363080, 0, -698012, 0, -573104, 0, -38032, 0, 308508, 0, 271188, 0, -20932, 0, -205718, 0, 308372, 0, 225902, 0, 55212, 0, -212510, 0, -94764, 0, -435046, 0, -470060, 0, -21344, 0, -233550, 0, 157204, 0, 164016, 0, 622572, 0, 94184, 0, -128100, 0, -594848, 0, 480096, 0, 327196, 0, 222862, 0, 583092, 0, 104680, 0, 292794, 0, 281648, 0, -435618, 0, -453248, 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, 0, 0], [1, 0, 0], [0, 0, 0], [1, 0, 1], [0, 0, 0], [4, 1, -3], [0, 0, 0], [-18, 5, 3], [0, 0, 0], [-10, -3, 2], [0, 0, 0], [16, 5, 11], [0, 0, 0], [9, 11, 6], [0, 0, 0], [-48, 11, -1], [0, 0, 0], [-42, 33, 5], [0, 0, 0], [18, 24, 16], [0, 0, 0], [10, 1, -25], [0, 0, 0], [-23, 0, 0], [0, 0, 0], [71, -22, -10], [0, 0, 0], [7, -12, -29], [0, 0, 0], [-105, 1, 6], [0, 0, 0], [-69, 8, 59], [0, 0, 0], [172, -23, 17], [0, 0, 0], [-108, 32, 100], [0, 0, 0], [12, -65, 3], [0, 0, 0], [61, 4, -7], [0, 0, 0], [203, 27, -52], [0, 0, 0], [184, -62, -12], [0, 0, 0], [-216, -2, 10], [0, 0, 0], [-1, -72, 47], [0, 0, 0], [305, -102, -118], [0, 0, 0], [-94, 51, -103], [0, 0, 0], [-126, 64, -42], [0, 0, 0], [-388, 146, 14], [0, 0, 0], [178, 0, -14], [0, 0, 0], [-4, -94, -38], [0, 0, 0], [378, 14, -96], [0, 0, 0], [92, -58, -98], [0, 0, 0], [-12, 113, 73], [0, 0, 0], [632, 51, 61], [0, 0, 0], [-23, 0, -23], [0, 0, 0], [155, -58, -47], [0, 0, 0], [-91, 89, -68], [0, 0, 0], [-1, -14, 105], [0, 0, 0], [260, 36, -240], [0, 0, 0], [-254, -134, 176], [0, 0, 0], [-139, 144, -52], [0, 0, 0], [374, 97, 185], [0, 0, 0], [364, 140, 400], [0, 0, 0], [-13, -16, -101], [0, 0, 0], [104, -16, 238], [0, 0, 0], [534, 21, -97], [0, 0, 0], [843, -161, -26], [0, 0, 0], [-184, 274, 170], [0, 0, 0], [194, -23, 177], [0, 0, 0], [104, -232, -62], [0, 0, 0]]}