# Stored data for newform 2112.4.a.bd, downloaded from the LMFDB on 07 December 2025.
{"Nk2": 33792, "analytic_conductor": 124.61203393212418, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, 1], [11, 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": [2112, 1, [2047, 133, 1409, 1729], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 137, "field_disc_factorization": [[137, 1]], "field_poly": [-34, -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": [[5, [-128, -6, 1]], [7, [-484, 16, 1]]], "hecke_orbit": 30, "hecke_orbit_code": 130604389260855360, "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": "2112.4.a.bd", "level": 2112, "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, 11], "level_radical": 66, "minimal_twist": "264.4.a.f", "nf_label": "2.2.137.1", "prim_orbit_index": 1, "qexp_display": "q-3q^{3}+(3+\\beta )q^{5}+(-8-2\\beta )q^{7}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2112.4.a", "trace_display": [0, -6, 6, -16], "trace_hash": 1367172674870984547, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.884", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.041", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "60.768", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 2, 0, -6, 0, 6, 0, -16, 0, 18, 0, -22, 0, -22, 0, -18, 0, -22, 0, -62, 0, 48, 0, 210, 0, 42, 0, -54, 0, 214, 0, 328, 0, 66, 0, -596, 0, 200, 0, 66, 0, 114, 0, -606, 0, 54, 0, 382, 0, 538, 0, 66, 0, 2, 0, -66, 0, 186, 0, -1084, 0, 354, 0, -144, 0, -340, 0, 456, 0, -630, 0, 34, 0, -112, 0, -126, 0, 176, 0, -820, 0, 162, 0, -1012, 0, -888, 0, -642, 0, 1036, 0, 724, 0, -984, 0, 636, 0, 1308, 0, -198, 0, -154, 0, -600, 0, 1788, 0, -604, 0, -14, 0, -600, 0, 608, 0, 2000, 0, -198, 0, 1820, 0, 242, 0, -342, 0, 1020, 0, -2108, 0, 1818, 0, -3200, 0, -1148, 0, -162, 0, 660, 0, 1138, 0, -1146, 0, 242, 0, 2560, 0, -1614, 0, 118, 0, -1572, 0, -198, 0, 2080, 0, 1168, 0, -6, 0, -4420, 0, -2924, 0, 198, 0, -3080, 0, -3878, 0, -558, 0, -2626, 0, -3624, 0, 3252, 0, -1060, 0, -1488, 0, -1062, 0, 52, 0, 242, 0, 432, 0, 6062, 0, -2224, 0, 1020, 0, 1534, 0, -8708, 0, -1368, 0, -5548, 0, 8288, 0, 1890, 0, 682, 0, 2462, 0, -102, 0, -6476, 0, -4816, 0, 336, 0, 1064, 0, 60, 0, 378, 0, -4052, 0, 7084, 0, -528, 0, -1174, 0, -4608, 0, 2460, 0, -3816, 0, -11212, 0, -486, 0, 10382, 0, -140, 0, 3036, 0, -6908, 0, -2310, 0, 2664, 0, -2860, 0, -504, 0, 1926, 0, -5676, 0, -7940, 0, -3108, 0, -3910, 0, -1236, 0, -2172, 0, -462, 0, -2370, 0, 2952, 0, -7402, 0, 9994, 0, -1908, 0, -16804, 0, -7118, 0, -3924, 0, -4674, 0, -3800, 0, 594, 0, -3680, 0, 14164, 0, 462, 0, 16132, 0, 5890, 0, 1800, 0, -3366, 0, 4456, 0, -5364, 0, -10582, 0, -2354, 0, 1812, 0, -1784, 0, -2106, 0, 42, 0, 8452, 0, -4276, 0, 1800, 0, -824, 0, -9128, 0, -1824, 0, -3608, 0, -16352, 0, -6000, 0, -20, 0, -19218, 0, 594, 0, 20228, 0, -7296, 0, -5460, 0, 1572, 0, -9330, 0, -726, 0, -19516, 0, 4564, 0, 1026, 0, 15876, 0, -7434, 0, -3060, 0, -4272, 0, -20052, 0, 6324, 0, -4254, 0, 6556, 0, -5454, 0, -2634, 0, -6420, 0, 9600, 0, 3020, 0, -11436, 0, 3444, 0, 8228, 0, -4704, 0, 486, 0, -2200, 0, -300, 0, -1980, 0, 9768, 0, -25504, 0, -3414, 0, 12668, 0, 508, 0, 3438, 0, -5394, 0, -32972, 0, -726, 0, 6916, 0, 13944, 0, -7680, 0, -2400, 0, 1560, 0, 4842, 0, -11108, 0, -180, 0, -354, 0, 6144, 0, -1254, 0, 4716, 0, 10392, 0, -18820, 0, 594, 0, -14490, 0, 7736, 0, -6240, 0, -1176, 0, 736, 0, -3504, 0, 6666, 0, 3630, 0, 18, 0, -980, 0, -1652, 0, 13260, 0, 8308, 0, -9700, 0, 8772, 0, -17444, 0, -8108, 0, -594, 0, 14524, 0, -25120, 0, 9240, 0, -27016, 0, -2928, 0, 11634, 0, 21194, 0, 39256, 0, 1674, 0, -14952, 0, -4202, 0, 7878, 0, -10020, 0, 474, 0, 10872, 0, -6896, 0, 4566, 0, -9756, 0, -9200, 0, 9696, 0, 3180, 0, -5918, 0, -36814, 0, 4464, 0, -10180, 0, 23830, 0, 3186, 0, -880, 0, -4400, 0, -156, 0, 26070, 0, 11324, 0, -726, 0, -10600, 0, 2372, 0, -1296, 0, -5374, 0, -29010, 0, -18186, 0, 12630, 0, 15072, 0, 6672, 0, 53032, 0, -22, 0, -3060, 0, -12404, 0, -6880, 0, -4602, 0, 8406, 0, 18064, 0, 26124, 0, 27202, 0, -31668, 0, 4104, 0, 726, 0, 20332, 0, 16644, 0, 1552, 0, -6782, 0, -24864, 0, 9008, 0, 11220, 0, -5670, 0, -1712, 0, -25754, 0, -2046, 0, -556, 0, 24920, 0, -7386, 0, 22172, 0, -14686, 0, 306, 0, -30624, 0, -492, 0, 19428, 0, 7250, 0, 11924, 0, 14448, 0, 26830, 0, -26040, 0, -1008, 0, -8472, 0, 5088, 0, -3192, 0, 6968, 0, 32060, 0, -180, 0, -3894, 0, 53744, 0, -1134, 0, 42470, 0, -19232, 0, 12156, 0, 14724, 0, -51724, 0, -21252, 0, 7924, 0, -14844, 0, 1584, 0, 45884, 0, -25092, 0, 3522, 0, 42902, 0, -7844, 0, 13824, 0, 6164, 0, 4412, 0, -7380, 0, 39920, 0, 3740, 0, 11448, 0, 24522, 0, 31104, 0, 33636, 0, 16002, 0, 31196, 0, 1458, 0, 20640, 0, -5070, 0, -31146, 0, -5016, 0, 30834, 0, 420, 0, -25180, 0, -20744, 0, -9108, 0, -18184, 0, -22000, 0, 20724, 0, 57756, 0, -14844, 0, 6930, 0, -15494, 0, 20388, 0, -7992, 0, 12472, 0, -26456, 0, 8580, 0, 28370, 0, 13464, 0, 1512, 0, 20304, 0, -374, 0, -5778, 0, 20492, 0, 18170, 0, 17028, 0, -5960, 0, -18964, 0, 23820, 0, -43618, 0, 13060, 0, 9324, 0, 1232, 0, -81760, 0, 11730, 0, -20098, 0, 67902, 0, 3708, 0, -69600, 0, 4812, 0, 6516, 0, 25582, 0, 3900, 0, 1386, 0, -45172, 0, -73088, 0, 7110, 0, -32222, 0, -42120, 0, -8856, 0, -28954, 0, -12454, 0, 22206, 0, -5606, 0, -1936, 0, -29982, 0, 18260, 0, -40062, 0, 5724, 0, -26890, 0, -47788, 0, 50412, 0, -14722, 0, -28976, 0, 21354, 0, 9020, 0, -2824, 0, 11772, 0, 38968, 0, 49174, 0, 14022, 0, -30024, 0, 64640, 0, 11400, 0, 21364, 0, -40128, 0, -1782, 0, -29104, 0, 49976, 0, 11040, 0, 42768, 0, 23816, 0, -42492, 0, -48852, 0, -65940, 0, -1386, 0, 5330, 0, 11132, 0, -48396, 0, 58480, 0, -6140, 0, -17670, 0, 7024, 0, 912, 0, -5400, 0, 66252, 0, 9626, 0, 10098, 0, 9768, 0, 9476, 0, -13368, 0, 35478, 0, 51700, 0, 16092, 0, -35024, 0, 20412, 0, 31746, 0, -16538, 0, 56272, 0, 7062, 0, 102128, 0, -1406, 0, -5436, 0, 51964, 0, 85244, 0, 5352, 0, -17812, 0, -94044, 0, 6318, 0, 45108, 0, -11396, 0, -126, 0, 6066, 0, -49376, 0, -25356, 0, -86920, 0, 87864, 0, 12828, 0, -35440, 0, -1234, 0, -5400, 0, -7964, 0, 13568, 0, 2472, 0, -23900, 0, 2940, 0, 27384, 0, -9802, 0, -90624, 0, 5472, 0, 35976, 0, 34412, 0, 10824, 0, 50070, 0, 3540, 0, 49056, 0, 11140, 0, -57664, 0, 18000, 0, -49104, 0, 80956, 0, 60, 0, 41252, 0, -6996, 0, 57654, 0, 57984, 0, 8022, 0, -1782, 0, 51500, 0, -112368, 0, -60684, 0, 4542, 0, -31392, 0, 21888, 0, -14388, 0, -41002, 0, 16380, 0, 17564, 0, -40674, 0, -4716, 0, 33600, 0, 11340, 0, 27990, 0, -113088, 0, 66872, 0, 2178, 0, -53624, 0, -107052, 0, 58548, 0, -40658, 0, -43320, 0, -13692, 0, -40614, 0, 15248, 0, -3078, 0, -23914, 0, 1694, 0, -47628, 0, 125672, 0, -85914, 0, 22302, 0, 31960, 0, -52716, 0, 9180, 0, 100330, 0, -77388, 0, 12816, 0, 6600, 0, -58736, 0, 60156, 0, 1560, 0, 145048, 0, -18972, 0, 21252, 0, 30608, 0, 12762, 0, -796, 0, 1344, 0, -19668, 0, -8108, 0, 34236, 0, 16362, 0, -1556, 0, -14208, 0, 7902, 0, 90400, 0, 2408, 0, 19260, 0, -26502, 0, 6644, 0, -28800, 0, -11178, 0, 18968, 0, -9060, 0, -6048, 0, 67820, 0, 34308, 0, 69140, 0, 63080, 0, -10332, 0, 154, 0, -18532, 0, -24684, 0, -21580, 0, 21820, 0, 14112, 0, 63204, 0, -45320, 0, -1458, 0, 94038, 0, -39520, 0, 6600, 0, 84000, 0, 63906, 0, 900, 0, 85062, 0, -85816, 0, 5940, 0, -968, 0, 88736, 0, -29304, 0, 58772, 0, -6688, 0, 76512, 0, -97448, 0, 14096, 0, 10242, 0, -97832, 0, 42296, 0, -38004, 0, 41108, 0, -18772, 0, -1524, 0, -22000, 0, 100680, 0, -10314, 0, 50480, 0, -20712, 0, 16182, 0, 22754, 0, -102952, 0, 98916, 0, 66336, 0, 81292, 0, 2178, 0, 35354, 0, 41624, 0, -20748, 0, -51928, 0, -24584, 0, -41832, 0, 27614, 0, -26448, 0, 23040, 0, -39184, 0, -20020, 0, 7200, 0, 4160, 0, 92024, 0, -4680, 0, -84708, 0, -171116, 0, -14526, 0, -47634, 0, 23080, 0, 33324, 0, -2662, 0, -118016, 0, 540, 0, -124668, 0, 19752, 0, 1062, 0, -7420, 0, 58140, 0, -18432, 0, -23248, 0, -99480, 0, 3762, 0, -73852, 0, -116560, 0, -14148, 0, 52246, 0, 596, 0, -31176, 0, 4010, 0, -80210, 0, 56460, 0, -83698, 0, -11220, 0, -1782, 0, 95684, 0, 88566, 0, 43470, 0, -11220, 0, -54068, 0, -23208, 0, -4864, 0, 88296, 0, 18720, 0, 23188, 0, -1404, 0, 3528, 0, 112520, 0, -15904, 0, -2208, 0, -39172, 0, 78536, 0, 10512, 0, 89988, 0, 10292, 0, -19998, 0, 118942, 0, -143996, 0, -10890, 0, -134232, 0, 52526, 0, -54, 0, -87136, 0, -145216, 0, 2940, 0, -44858, 0, 35200, 0, 4956, 0, -3270, 0, -46104, 0, -39780, 0, -45084, 0, 54128, 0, -24924, 0, 39632, 0, 97398, 0, 29100, 0, 12628, 0, -121704, 0, -26316, 0, -7236, 0, -21616, 0, 52332, 0, -26052, 0, -107924, 0, 24324, 0, -82790, 0, 5656, 0, 1782, 0, 107888, 0, -15684, 0, -43572, 0, 177558, 0, -54880, 0, 75360, 0, -79988, 0, 41860, 0, -27720, 0, 245800, 0, -7260, 0, 81048, 0, -105962, 0, -1532, 0, 8784, 0, -4492, 0, 123304, 0, -34902, 0, -94304, 0, 97854, 0, -63582, 0, -12518, 0, 43194, 0, -117768, 0, -23156, 0, -55408, 0, -5022, 0, 36920, 0, -134160, 0, 44856, 0, -32624, 0, 116472, 0, 12606, 0, -23986, 0, -12016, 0, -23634, 0, 75492, 0, -251464, 0, 30060, 0, 157492, 0, -28196, 0, -1422, 0, -88576, 0, -2662, 0, -32616, 0, -36032, 0, 38, 0, 20688, 0, -30588, 0, -147100, 0, -13698, 0, 125576, 0, -51284, 0, 29268, 0, -28160, 0, -111778, 0, 27600, 0, -163414, 0, -56672, 0, -29088, 0, 54238, 0, 43692, 0, -9540, 0, -19978, 0, 11088, 0, 17754, 0, -34492, 0, 90416, 0, 110442, 0, 12344, 0, -80298, 0, -13392, 0, 30764, 0, -33420, 0, 30540, 0, 50914, 0, -1298, 0, -71490, 0, -31456, 0, -33280, 0, -9558, 0, -27540, 0, -5308, 0, 2640, 0, -98864, 0, 111064, 0, 13200, 0, 17292, 0, -64468, 0, 468, 0, -63264, 0, 19074, 0, -78210, 0, -118528, 0, -3576, 0, -33972, 0, -107660, 0, 99090, 0, 2178, 0, -12588, 0, 65584, 0, 31800, 0, -41980, 0, -45202, 0, -7116, 0, 146272, 0, -40896, 0, 3888, 0, 51640, 0, -22880, 0, 16122, 0, 54126, 0, -119824, 0, 87030, 0, -78648, 0, 9092, 0, 54558, 0, -102120, 0, 31714, 0, -37890, 0, -12848, 0, 2216, 0, -45216, 0, 164398, 0, -57600, 0, -20016, 0, 49708, 0, 55772, 0, -159096, 0, -67244, 0, -50684, 0, 66, 0, 46056, 0, 86336, 0, 9180, 0, -70776, 0, -22704, 0, 37212, 0, -169624, 0, 54108, 0, 20640, 0, 143368, 0, 48620, 0, 13806, 0, -43674, 0, 194408, 0, -25218, 0, 46444, 0, -40148, 0, -54192, 0, 92392, 0, 25874, 0, -78372, 0, 32164, 0, 163088, 0, -81606, 0, -156864, 0, 96140, 0, 95004, 0, -78954, 0, -54988, 0, -12312, 0, -223688, 0, 36264, 0, -2178, 0, -58700, 0, -27880, 0, -60996, 0, 82572, 0, -117432, 0, -49932, 0, -179968, 0, -64180, 0, -4656, 0, -41656, 0, 33880, 0, 20346, 0, -172696, 0, -27396, 0, 74592, 0, 35452, 0, 103790, 0, -27024, 0, 30568, 0, 110648, 0, -33660, 0, 42658, 0, 4190, 0, 17010, 0, -61484, 0, -78890, 0, 5136, 0, -191358, 0, 61932, 0, 77262, 0, -177034, 0, 2492, 0, 6138, 0, -108460, 0, -63232, 0, 1668, 0, 139278, 0, 118336, 0, -74760, 0, -113312, 0, 150176, 0, 22158, 0, 115270, 0, 28886, 0, -66516, 0, 74748, 0, -218600, 0, 44058, 0, -65282, 0, -224016, 0, -918, 0, -2624, 0, -8332, 0, 91872, 0, 39864, 0, -145092, 0, 1476, 0, 89752, 0, -160178, 0, -58284, 0, 19800, 0, 27180, 0, -21750, 0, 33448, 0, 12100, 0, -35772, 0, -244538, 0, 47276, 0, -43344, 0, -120640, 0, -20856, 0, -80490, 0, 16092, 0, -45180, 0, 78120, 0, 46612, 0, 11660, 0, 3024, 0, 40242, 0, 15660, 0, 25416, 0, 32172, 0, -199964, 0, -15264, 0, -33212, 0, 27182, 0, 9576, 0, 16368, 0, -108424, 0, -20904, 0, -122858, 0, 169384, 0, -96180, 0, 68096, 0, -26828, 0, 540, 0, 284938, 0, -156856, 0, 11682, 0, -71104, 0, 29112, 0, -161232, 0, -17928, 0, 20776, 0, 3402, 0, -191640, 0, 29276, 0, -127410, 0, 53248, 0, -572, 0, 57696, 0, -24042, 0, -29836, 0, -36468, 0, -337372, 0, 92340, 0, -44172, 0, 252756, 0, 294, 0, 155172, 0, -2662, 0, -48148, 0, 63756, 0, -12600, 0, 330704, 0, -23772, 0, -4990, 0, -29980, 0, 44532, 0, -156060, 0, 66016, 0, -4752, 0, 132882, 0, -224872, 0, -137652, 0, 24884, 0, -67216, 0, 75276, 0, 117120, 0, 38552, 0, -10566, 0, 105544, 0, -66682, 0, -128706, 0, -332756, 0, -312070, 0, 23532, 0, 131960, 0, 46492, 0, -41472, 0, -146244, 0, 92992, 0, -18492, 0, 24464, 0, 59472, 0, -13236, 0, 3230, 0, 63242, 0, 22140, 0, -316472, 0, 173648, 0, -119760, 0, -31530, 0, 175924, 0, -11220, 0, -17204, 0, 34532, 0, -34344, 0, 55414, 0, -74056, 0, -73566, 0, -62300, 0, -33904, 0, -93312, 0, 122388, 0, -16874, 0, -100908, 0, 66760, 0, -230320, 0, -48006, 0, 30764, 0, 35000, 0, -93588, 0, -107304, 0, 36640, 0, -4374, 0, 95788, 0, -323896, 0, -61920, 0, 37012, 0, 84964, 0, 15210, 0, -24016, 0, -126568, 0, 93438, 0, 111112, 0, -13850, 0, 15048, 0, 806, 0, 162312, 0, -92502, 0, 315364, 0, 27710, 0, -1260, 0, 2028, 0, 84520, 0, 75540, 0, 159260, 0, 61028, 0, 62232, 0, 25838, 0, 203344, 0, 27324, 0, -157660, 0, -161860, 0, 54552, 0, 49984, 0, -216798, 0, 66000, 0, -91168, 0, 5260, 0, -62172, 0, -18608, 0, -95088, 0, -173268, 0, 5784, 0, -6204, 0, 44532, 0, -261042, 0, 64524, 0, -20790, 0, 134476, 0, -113084, 0, 46482, 0, -93724, 0, 119700, 0, -61164, 0, -49380, 0, 251148, 0, 23976, 0, 204064, 0, -7502, 0, -37416, 0, -81370, 0, -178552, 0, 79368, 0, -193154, 0, -48988, 0, -25740, 0, 135000, 0, 206280, 0, -85110, 0, -27082, 0, -28500, 0, -40392, 0, -41496, 0, 153852, 0, -4536, 0, -102038, 0, 432680, 0, -60912, 0, -89868, 0, 391528, 0, 1122, 0, -105200, 0, -171564, 0, 17334, 0, -172316, 0, 60756, 0, -61476, 0, 101186, 0, 43432, 0, -54510, 0, -139928, 0, 71236, 0, -51084, 0, -128760, 0, -37522, 0, 17880, 0, -102312, 0, -32628, 0, 56892, 0, 188666, 0, 206380, 0, -71460, 0, 52976, 0, 131906, 0, 130854, 0, -402642, 0, -122952, 0, -39180, 0, -100590, 0, 5466, 0, -27972, 0, -26328, 0, -265560, 0, -3696, 0, 282724, 0, 150836, 0, 245280, 0, 248054, 0, -77680, 0, -35190, 0, 234902, 0, 53772, 0, 60294, 0, 115240, 0, -11704, 0, -203706, 0, 112832, 0, -283814, 0, -11124, 0, -30562, 0, 172924, 0, 208800, 0, -148934, 0, -112560, 0, -14436, 0, -660, 0, -256736, 0, -19548, 0, 11516, 0, -5880, 0, -76746, 0, -133376, 0, -26144, 0, -11700, 0, -148672, 0, 86900, 0, -4158, 0, -80994, 0, 49984, 0, 135516, 0, -104768, 0, 93440, 0, 219264, 0, 49880, 0, 167248, 0, -21330, 0, -10696, 0, 44572, 0, 96666, 0, 457208, 0, 176100, 0, 126360, 0, -52160, 0, -34172, 0, 26568, 0, -329320, 0, 52664, 0, 86862, 0, -77924, 0, 147344, 0, 37362, 0, -18030, 0, 176568, 0, -66618, 0, 137020, 0, 61996, 0, 16818, 0, 337768, 0, 86460, 0, 5808, 0, 60320, 0, 30428, 0, 89946, 0, -208722, 0, -249304, 0, -54780, 0, 301896, 0, 187700, 0, 120186, 0, 37104, 0, 12914, 0, -17172, 0, -170124, 0, 74184, 0, 80670, 0, -255840, 0, -91512, 0, 143364, 0, 271128, 0, 87836, 0, -151236, 0, 50688, 0, 105104, 0, 44166, 0, -140648, 0, 318420, 0, 86928, 0, -253734, 0, 66580, 0, -64062, 0, -181572, 0, 305316, 0, -27060, 0, -152642, 0, 137836, 0, 8472, 0, -149004, 0, 127780, 0, -35316, 0, -168962, 0, -363452, 0, -116904, 0, 18196, 0, 41976, 0, -147522, 0, -350976, 0, -167552, 0, -42066, 0, 135008, 0, 92132, 0, 90072, 0, 301398, 0, -44844, 0, -193920, 0, 123332, 0, 266728, 0, -34200, 0, 143370, 0, 181882, 0, -64092, 0, 4462, 0, -130624, 0, 120384, 0, -63812, 0, -131008, 0, 5346, 0, 56364, 0, -84016, 0, 87312, 0, 456540, 0, -68102, 0, -149928, 0, 229278, 0, 248292, 0, -33120, 0, 212782, 0, -114202, 0, -128304, 0, 199908, 0, 27160, 0, -71448, 0, -140308, 0, 201680, 0, 127476, 0, 164318, 0, 124996, 0, 146556, 0, 1540, 0, 229432, 0, 197820, 0, -18932, 0, -61122, 0, 4158, 0, 39816, 0, -88308, 0, -15990, 0, 220820, 0, 254120, 0, -33396, 0, -354338, 0, -71196, 0, 145188, 0, -37576, 0, -344358, 0, -175440, 0, -208108, 0, 25856, 0, 18420, 0, 156752, 0, 75988, 0, 53010, 0, 167640, 0, 359096, 0, -21072, 0, 214648, 0, -195536, 0, -2736, 0, -256504, 0, 89296, 0, 16200, 0, 25410, 0, -74408, 0, -198756, 0, -179298, 0, -444240, 0, -28878, 0, 168232, 0, 249688, 0, -30294, 0, 22882, 0, 132104, 0, -29304, 0, 37200, 0, -67318, 0, -28428, 0, 170644, 0, 38344, 0, 40104, 0, -112744, 0, 151616, 0, -106434, 0, 16056, 0, 31460, 0, -155100, 0, -66952, 0, -14388, 0, -48276, 0, -173754, 0, 132520, 0, 105072, 0, 90088, 0, 30184, 0, -61236, 0, 5544, 0, 348686, 0, -95238, 0, -33052, 0, 347184, 0, 49614, 0, 242802, 0, 675344, 0, -168816, 0, -248856, 0, 236148, 0, -21186, 0, 24574, 0, -10720, 0, -306384, 0, -150448, 0, -100904, 0, 4218, 0, -146036, 0, 3376, 0, 16308, 0, -309132, 0, 62436, 0, -155892, 0, -54352, 0, -126152, 0, -255732, 0, 321960, 0, 616128, 0, -16056, 0, 60350, 0, -212604, 0, 53436, 0, 87340, 0, 154786, 0, 282132, 0, -78860, 0, -92960, 0, -18954, 0, 408978, 0, -33740, 0, -135324, 0, -102440, 0, -23512, 0, 34188, 0, 188900, 0, 92180, 0, 378, 0, 80192, 0, 664496, 0, -18198, 0, 91152, 0, 3232, 0, 148128, 0, 209042, 0, 43010, 0, 76068, 0, -202896, 0, 68784, 0, 260760, 0, -36982, 0, 40396, 0, -263592, 0, 113844, 0, -77924, 0, -38484, 0, 13596, 0, 14756, 0, 106320, 0, -156264, 0, 577466, 0, 3702, 0, -562604, 0, 166272, 0, 16200, 0, 392732, 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], [1, 0], [0, 0], [-3, 0], [0, 0], [3, 1], [0, 0], [-8, -2], [0, 0], [9, 0], [0, 0], [-11, 0], [0, 0], [-11, -1], [0, 0], [-9, -3], [0, 0], [-11, -3], [0, 0], [-31, 3], [0, 0], [24, 6], [0, 0], [105, 5], [0, 0], [21, 6], [0, 0], [-27, 0], [0, 0], [107, 7], [0, 0], [164, 4], [0, 0], [33, 0], [0, 0], [-298, -14], [0, 0], [100, -2], [0, 0], [33, 3], [0, 0], [57, 29], [0, 0], [-303, -17], [0, 0], [27, 9], [0, 0], [191, -21], [0, 0], [269, 32], [0, 0], [33, 9], [0, 0], [1, -29], [0, 0], [-33, -11], [0, 0], [93, -9], [0, 0], [-542, -2], [0, 0], [177, 55], [0, 0], [-72, -18], [0, 0], [-170, -14], [0, 0], [228, -8], [0, 0], [-315, -15], [0, 0], [17, -27], [0, 0], [-56, -70], [0, 0], [-63, -18], [0, 0], [88, 22], [0, 0], [-410, 20], [0, 0], [81, 0], [0, 0], [-506, -82], [0, 0], [-444, -20], [0, 0], [-321, -21], [0, 0], [518, -12], [0, 0], [362, 30], [0, 0], [-492, -12], [0, 0], [318, -22], [0, 0], [654, 16], [0, 0], [-99, 0], [0, 0]]}