# Stored data for newform 700.4.a.i, downloaded from the LMFDB on 22 May 2024.
{"Nk2": 11200, "analytic_conductor": 41.30133700401843, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [5, 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": [700, 1, [351, 477, 101], [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": [[3, [-4, 1]], [11, [-68, 1]], [13, [22, 1]]], "hecke_orbit": 9, "hecke_orbit_code": 36028797086073532, "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_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "700.4.a.i", "level": 700, "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, 5, 7], "level_radical": 70, "minimal_twist": "140.4.a.c", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+4q^{3}+7q^{7}-11q^{9}+68q^{11}-22q^{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": "700.4.a", "trace_display": [0, 4, 0, 7], "trace_hash": 188339218226961888, "trace_moments": [{"__RealLiteral__": 0, "data": "0.003", "prec": 17}, {"__RealLiteral__": 0, "data": "0.964", "prec": 17}, {"__RealLiteral__": 0, "data": "0.025", "prec": 17}, {"__RealLiteral__": 0, "data": "1.909", "prec": 17}, {"__RealLiteral__": 0, "data": "0.055", "prec": 17}, {"__RealLiteral__": 0, "data": "4.786", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "traces": [0, 1, 0, 4, 0, 0, 0, 7, 0, -11, 0, 68, 0, -22, 0, 0, 0, 30, 0, 108, 0, 28, 0, -184, 0, 0, 0, -152, 0, 166, 0, -32, 0, 272, 0, 0, 0, 370, 0, -88, 0, 154, 0, -212, 0, 0, 0, 512, 0, 49, 0, 120, 0, 98, 0, 0, 0, 432, 0, -860, 0, 390, 0, -77, 0, 0, 0, -60, 0, -736, 0, 840, 0, 630, 0, 0, 0, 476, 0, 1312, 0, -311, 0, 436, 0, 0, 0, 664, 0, -598, 0, -154, 0, -128, 0, 0, 0, -914, 0, -748, 0, 318, 0, 280, 0, 0, 0, -884, 0, -1098, 0, 1480, 0, -1170, 0, 0, 0, 242, 0, 210, 0, 3293, 0, 616, 0, 0, 0, 176, 0, -848, 0, -1028, 0, 756, 0, 0, 0, 2598, 0, 2420, 0, 2048, 0, -1496, 0, 0, 0, 196, 0, -594, 0, 1464, 0, -330, 0, 0, 0, -326, 0, 392, 0, -1288, 0, -1852, 0, 0, 0, 3096, 0, -1713, 0, -1188, 0, 3018, 0, 0, 0, -3440, 0, -484, 0, -1170, 0, 1560, 0, 0, 0, 2040, 0, -1064, 0, -1968, 0, -3106, 0, 0, 0, -110, 0, -3048, 0, -240, 0, 1162, 0, 0, 0, 2024, 0, 7344, 0, -2788, 0, 3360, 0, 0, 0, -224, 0, 2520, 0, -660, 0, -1488, 0, 0, 0, 4, 0, -514, 0, 1904, 0, 2598, 0, 0, 0, 5248, 0, -1440, 0, 3442, 0, 2860, 0, 0, 0, -2376, 0, 1744, 0, -188, 0, -12512, 0, 0, 0, -5458, 0, 2590, 0, -1826, 0, 2808, 0, 0, 0, -2392, 0, -3082, 0, -5680, 0, -616, 0, 0, 0, -2558, 0, 352, 0, 1610, 0, 1724, 0, 0, 0, 1078, 0, -4013, 0, -3656, 0, -2430, 0, 0, 0, -10336, 0, 4048, 0, -1484, 0, 1272, 0, 0, 0, -8588, 0, 1120, 0, -10488, 0, -7866, 0, 0, 0, -1014, 0, 11288, 0, -3536, 0, 3240, 0, 0, 0, -4392, 0, 3584, 0, -2620, 0, -4070, 0, 0, 0, -786, 0, -4680, 0, -2176, 0, 343, 0, 0, 0, -4964, 0, -10266, 0, 3344, 0, -4722, 0, 0, 0, 840, 0, 2632, 0, 4805, 0, 13172, 0, 0, 0, -9472, 0, -1694, 0, 686, 0, 11586, 0, 0, 0, -3652, 0, 1172, 0, 704, 0, 4720, 0, 0, 0, 2332, 0, -7874, 0, -5520, 0, -4112, 0, 0, 0, 8746, 0, 3024, 0, -11342, 0, 704, 0, 0, 0, 25160, 0, -12214, 0, 10392, 0, -6020, 0, 0, 0, 9680, 0, 9628, 0, -9218, 0, -5632, 0, 0, 0, 2730, 0, -5984, 0, -6912, 0, -994, 0, 0, 0, -19872, 0, 13544, 0, -539, 0, 5276, 0, 0, 0, -2376, 0, 9794, 0, 10472, 0, 5856, 0, 0, 0, 7686, 0, -4560, 0, -3402, 0, 7552, 0, 0, 0, -18156, 0, -420, 0, -1304, 0, -14416, 0, 0, 0, -1078, 0, 7648, 0, -8140, 0, -5152, 0, 0, 0, 1048, 0, -7408, 0, 4388, 0, 4980, 0, 0, 0, 5880, 0, -15716, 0, 12384, 0, -1272, 0, 0, 0, -6852, 0, -1786, 0, 4410, 0, -16416, 0, 0, 0, 34816, 0, 12072, 0, 12762, 0, -16340, 0, 0, 0, -960, 0, 21689, 0, 9460, 0, -3388, 0, 0, 0, -1936, 0, 3332, 0, 10310, 0, -4680, 0, 0, 0, 23204, 0, -4290, 0, 17928, 0, 9184, 0, 0, 0, 14490, 0, 4664, 0, 8160, 0, 26132, 0, 0, 0, -2177, 0, -18198, 0, 4660, 0, -7872, 0, 0, 0, -14386, 0, -12424, 0, 3052, 0, 6664, 0, 0, 0, 20556, 0, -3456, 0, -440, 0, 16286, 0, 0, 0, -12192, 0, 22616, 0, 4138, 0, 660, 0, 0, 0, -12560, 0, 4648, 0, -11264, 0, 12914, 0, 0, 0, -10138, 0, -23788, 0, 27968, 0, -4186, 0, 0, 0, 29376, 0, 11100, 0, -10280, 0, -11152, 0, 0, 0, -1078, 0, -9240, 0, 5634, 0, -22940, 0, 0, 0, 1592, 0, -58480, 0, -896, 0, 17498, 0, 0, 0, -6930, 0, 16956, 0, -31602, 0, -2640, 0, 0, 0, -30544, 0, -5952, 0, 26520, 0, 5342, 0, 0, 0, 24418, 0, -6398, 0, 16, 0, -1300, 0, 0, 0, -2056, 0, -2156, 0, -15540, 0, -5236, 0, 0, 0, 4620, 0, 10392, 0, 25350, 0, 39960, 0, 0, 0, 2226, 0, -21730, 0, -14432, 0, 5888, 0, 0, 0, -5760, 0, -2512, 0, 1960, 0, 13768, 0, 0, 0, 34696, 0, 19837, 0, -6360, 0, -36902, 0, 0, 0, -4080, 0, -1300, 0, -9504, 0, 22520, 0, 0, 0, -4796, 0, -6188, 0, 36128, 0, -752, 0, 0, 0, 33154, 0, -50048, 0, -40278, 0, -7686, 0, 0, 0, 18920, 0, 5794, 0, -21832, 0, 354, 0, 0, 0, 10360, 0, 16632, 0, 57120, 0, -25232, 0, 0, 0, -28204, 0, 11232, 0, -8190, 0, -8580, 0, 0, 0, -33414, 0, 15360, 0, 6578, 0, 42840, 0, 0, 0, -12328, 0, 37626, 0, 23316, 0, -22720, 0, 0, 0, -22896, 0, 1694, 0, 38190, 0, -35064, 0, 0, 0, 12796, 0, -15674, 0, -10232, 0, 1470, 0, 0, 0, 4864, 0, -3784, 0, 3167, 0, 6440, 0, 0, 0, 23051, 0, 6896, 0, -68080, 0, 4178, 0, 0, 0, -30874, 0, 20196, 0, 4312, 0, -39952, 0, 0, 0, -16052, 0, 89216, 0, 1320, 0, 10054, 0, 0, 0, -42950, 0, -9720, 0, -20558, 0, -33228, 0, 0, 0, 1864, 0, 1232, 0, -21148, 0, 55296, 0, 0, 0, 16192, 0, -5312, 0, 2940, 0, -5936, 0, 0, 0, -15284, 0, -3498, 0, -16352, 0, 29648, 0, 0, 0, -7196, 0, 14040, 0, -34352, 0, -18480, 0, 0, 0, -3080, 0, 3618, 0, 5292, 0, -41952, 0, 0, 0, -31626, 0, -31464, 0, -16170, 0, -28336, 0, 0, 0, -10348, 0, -13860, 0, -4056, 0, 30134, 0, 0, 0, 45152, 0, 18186, 0, -28767, 0, 9724, 0, 0, 0, 29336, 0, 12960, 0, 16308, 0, 16940, 0, 0, 0, 38670, 0, -40664, 0, 12078, 0, 22184, 0, 0, 0, 14336, 0, 39008, 0, 7888, 0, -10480, 0, 0, 0, -37886, 0, -56240, 0, -10472, 0, -25800, 0, 0, 0, 10584, 0, 18194, 0, -3144, 0, -5838, 0, 0, 0, 12870, 0, 29076, 0, -22778, 0, -8704, 0, 0, 0, -28864, 0, 1372, 0, -9592, 0, -7738, 0, 0, 0, 11700, 0, -4240, 0, -19856, 0, -4158, 0, 0, 0, -41064, 0, 15338, 0, 18644, 0, 6842, 0, 0, 0, 10248, 0, -18888, 0, 16990, 0, 45016, 0, 0, 0, -62152, 0, -1130, 0, -2310, 0, 61420, 0, 0, 0, 10528, 0, -9592, 0, -94208, 0, 19220, 0, 0, 0, -6768, 0, -36223, 0, -25540, 0, -23790, 0, 0, 0, -47306, 0, -2282, 0, -37888, 0, -15648, 0, 0, 0, -23408, 0, -62322, 0, 21624, 0, 2744, 0, 0, 0, -22774, 0, 46344, 0, -92880, 0, -43356, 0, 0, 0, -9016, 0, 17914, 0, -14608, 0, 19040, 0, 0, 0, 4688, 0, -1800, 0, -12964, 0, -1936, 0, 0, 0, -11840, 0, 18880, 0, 10656, 0, 4398, 0, 0, 0, 13156, 0, 42120, 0, 32224, 0, 8364, 0, 0, 0, -31496, 0, 21672, 0, 38780, 0, -22080, 0, 0, 0, -60112, 0, 11308, 0, -9818, 0, -11991, 0, 0, 0, 68644, 0, 25564, 0, 34984, 0, 19798, 0, 0, 0, -8316, 0, -74664, 0, 40274, 0, -45368, 0, 0, 0, 25200, 0, 2816, 0, 21126, 0, 66698, 0, 0, 0, 17902, 0, -18032, 0, 100640, 0, 32504, 0, 0, 0, -48856, 0, -10378, 0, 848, 0, -28578, 0, 0, 0, 12082, 0, -24080, 0, 18900, 0, -79560, 0, 0, 0, -35192, 0, 7810, 0, -26620, 0, -3388, 0, 0, 0, 38512, 0, 60436, 0, 20108, 0, -36872, 0, 0, 0, -8190, 0, -77824, 0, -4928, 0, -6480, 0, 0, 0, -6534, 0, 66400, 0, 10920, 0, 20164, 0, 0, 0, 16456, 0, -83622, 0, 49076, 0, -27648, 0, 0, 0, 5774, 0, -3976, 0, 17230, 0, 39880, 0, 0, 0, 39900, 0, 14280, 0, -79488, 0, -6996, 0, 0, 0, 54176, 0, -4552, 0, 24154, 0, -7448, 0, 0, 0, -73216, 0, 21104, 0, 133416, 0, 6784, 0, 0, 0, -13776, 0, -6160, 0, 6534, 0, 39360, 0, 0, 0, 39176, 0, 90720, 0, -21742, 0, 41888, 0, 0, 0, 158240, 0, -16104, 0, -76494, 0, 84992, 0, 0, 0, 22344, 0, 86247, 0, 30744, 0, -17878, 0, 0, 0, -9330, 0, -770, 0, 16574, 0, -13608, 0, 0, 0, 68040, 0, 30208, 0, 19448, 0, -21336, 0, 0, 0, 11968, 0, -85528, 0, -72624, 0, -71760, 0, 0, 0, -1680, 0, 12610, 0, 13080, 0, 3586, 0, 0, 0, 24156, 0, -57664, 0, 8134, 0, -37088, 0, 0, 0, 65076, 0, -98066, 0, -14896, 0, -37658, 0, 0, 0, 30592, 0, -44080, 0, -69904, 0, -32560, 0, 0, 0, -62120, 0, 14168, 0, -20092, 0, 20602, 0, 0, 0, -16384, 0, -89108, 0, 4192, 0, 51408, 0, 0, 0, 20372, 0, 25740, 0, 21232, 0, 17552, 0, 0, 0, -19516, 0, 19920, 0, -230, 0, 87148, 0, 0, 0, 43712, 0, 20786, 0, 23520, 0, 80130, 0, 0, 0, -62864, 0, 16724, 0, 141696, 0, -34056, 0, 0, 0, 176664, 0, -5088, 0, 5720, 0, -17940, 0, 0, 0, 56980, 0, -1568, 0, 18843, 0, 81396, 0, 0, 0, -7144, 0, 164560, 0, 72452, 0, 17640, 0, 0, 0, 16268, 0, -33588, 0, 11040, 0, -111112, 0, 0, 0, -4620, 0, 39734, 0, 139264, 0, -42786, 0, 0, 0, -33198, 0, -28536, 0, -10416, 0, 51048, 0, 0, 0, -58576, 0, -65360, 0, 88508, 0, -72446, 0, 0, 0, 47088, 0, -98364, 0, -3840, 0, -59136, 0, 0, 0, 86756, 0, 28, 0, -78440, 0, 130720, 0, 0, 0, 21386, 0, -13552, 0, -45822, 0, -3598, 0, 0, 0, -28584, 0, -20774, 0, 5324, 0, 40074, 0, 0, 0, 13328, 0, 22748, 0, -25042, 0, 41240, 0, 0, 0, 30044, 0, 12870, 0, 18186, 0, -154560, 0, 0, 0, -88382, 0, -40392, 0, 92816, 0, -3136, 0, 0, 0, -59280, 0, -27420, 0, -3872, 0, 71712, 0, 0, 0, -30650, 0, 36736, 0, 99552, 0, -87408, 0, 0, 0, -90588, 0, -96802, 0, 57960, 0, -10080, 0, 0, 0, 18656, 0, -115920, 0, -45205, 0, -22440, 0, 0, 0, 24094, 0, 104528, 0, -64584, 0, 22362, 0, 0, 0, -78706, 0, 50140, 0, 20020, 0, 22616, 0, 0, 0, -72792, 0, -14442, 0, -142760, 0, 18640, 0, 0, 0, 9540, 0, 21648, 0, -85142, 0, 17596, 0, 0, 0, -22168, 0, -16632, 0, -57544, 0, -48334, 0, 0, 0, 34166, 0, 189440, 0, 25078, 0, 12208, 0, 0, 0, -123564, 0, 26656, 0, 8400, 0, 114406, 0, 0, 0, -1316, 0, -29424, 0, 82224, 0, -32648, 0, 0, 0, -13824, 0, 64740, 0, -87584, 0, 1210, 0, 0, 0, -96930, 0, 65144, 0, -57156, 0, 78024, 0, 0, 0, 60636, 0, -52282, 0, 33528, 0, -125936, 0, 0, 0, 90464, 0, -38206, 0, 127322, 0, 16552, 0, 0, 0, -53240, 0, 9120, 0, -86004, 0, 18130, 0, 0, 0, -241408, 0, -26520, 0, -50240, 0, -50128, 0, 0, 0, -12782, 0, 27520, 0, -137368, 0, -45056, 0, 0, 0, 210528, 0, 51656, 0, 19656, 0, -98712, 0, 0, 0, 92616, 0, -34563, 0, -40552, 0, -32940, 0, 0, 0, -95152, 0, -116484, 0, 104542, 0, 57224, 0, 0, 0, 27628, 0, -16744, 0, 49920, 0, -37394, 0, 0, 0, 107874, 0, 33640, 0, -80784, 0, -21574, 0, 0, 0, 44400, 0, -66206, 0, -12480, 0, -41120, 0, 0, 0, -39760, 0, 30668, 0, -95594, 0, 205224, 0, 0, 0, 160980, 0, -80224, 0, -4312, 0, 77046, 0, 0, 0, -127680, 0, 34344, 0, -35100, 0, 22536, 0, 0, 0, 78848, 0, -91760, 0, 85652, 0, 138650, 0, 0, 0, 13068, 0, -17906, 0, 6368, 0, -9960, 0, 0, 0, -233920, 0, -62106, 0, -29216, 0, 2464, 0, 0, 0, 30240, 0, 69992, 0, 36260, 0, -32208, 0, 0, 0, 11270, 0, -32912, 0, -95760, 0, -84366, 0, 0, 0, 67824, 0, -47676, 0, 12068, 0, -126408, 0, 0, 0, -75036, 0, 7260, 0, -79560, 0, 30134, 0, 0, 0, -78246, 0, 128864, 0, -122176, 0, 63348, 0, 0, 0, 16368, 0, 7546, 0, -78284, 0, 106080, 0, 0, 0, -151778, 0, 21368, 0, -108544, 0, -28091, 0, 0, 0, 96044, 0, 99734, 0, 97672, 0, -95472, 0, 0, 0, -25592, 0, 133944, 0, 7172, 0, -44, 0, 0, 0, 110032, 0, -5200, 0, -17010, 0, 64978, 0, 0, 0, 98790, 0, 139440, 0, 5654, 0, 28224, 0, 0, 0, -8624, 0, -49714, 0, -118584, 0, -62160, 0, 0, 0, 1920, 0, -72352, 0, -63390, 0, -54268, 0, 0, 0, -121224, 0, 179930, 0, 18480, 0, 28336, 0, 0, 0, -28578, 0, 152524, 0, -133824, 0, 101400, 0, 0, 0, -10388, 0, 159840, 0, 127920, 0, -89938, 0, 0, 0, 104580, 0, 40744, 0, 8904, 0, -211208, 0, 0, 0, -86920, 0, -31246, 0, -117108, 0, -199424, 0, 0, 0, -161162, 0, 23552, 0, 55590, 0, 84944, 0, 0, 0, -126360, 0, -60116, 0, 15840, 0, 123174, 0, 0, 0, -10048, 0, 5280, 0, -8206, 0, 7840, 0, 0, 0, -7480, 0, -37862, 0, -68112, 0, 15092, 0, 0, 0, -73416, 0, 24204, 0, 138784, 0, -318200, 0, 0, 0, 2128, 0, -207264, 0, -55062, 0, -25440, 0, 0, 0, 86020, 0, -147608, 0, -26880, 0, 103868, 0, 0, 0, -16656, 0, 158321, 0, -16320, 0, 118002, 0, 0, 0, -5200, 0, -7098, 0, 7254, 0, 26136, 0, 0, 0, -30840, 0, 90080, 0, 168176, 0, 79016, 0, 0, 0, -61750, 0, -78432, 0, -66272, 0, -12060, 0, 0, 0, -24752, 0, -66396, 0, -171804, 0, 144512, 0, 0, 0, 144300, 0, 2068, 0, 22680, 0, -20160, 0, 0, 0, -105476, 0, -131258, 0, 132616, 0, -146322, 0, 0, 0, 137632, 0, -20776, 0, 171994, 0, -161112, 0, 0, 0, 992, 0, -30744, 0, 217792, 0, -36542, 0, 0, 0, -67818, 0, 355644, 0, 75680, 0, 25088, 0, 0, 0, 23176, 0, -171618, 0, 74536, 0, 60038, 0, 0, 0, -18340, 0, 1416, 0, -189584, 0, -58512, 0, 0, 0, 10648, 0, 77940, 0, -28490, 0, -85430, 0, 0, 0, 66528, 0, -64212, 0, -19202, 0, 228480, 0, 0, 0, 48076, 0, -51626, 0, -78576, 0, 25740, 0, 0, 0, 26386, 0, -5502, 0, -112816, 0, 72600, 0, 0, 0, -30888, 0, -51520, 0, 32764, 0, -32760, 0, 0, 0, -46970, 0, -34320, 0, -23178, 0, 6784, 0, 0, 0, -15232, 0, -54258, 0, -133656, 0, -106458, 0, 0, 0, 61440, 0, -18624, 0, 2401, 0, 90896, 0, 0, 0, 72376, 0, 171360, 0, 156084, 0, 19008, 0, 0, 0, -45426, 0, -132440, 0, 33902, 0, 225256, 0, 0, 0, 150504, 0, -34748, 0, -44880, 0, 93264, 0, 0, 0, -90926, 0, 62480, 0, -129382, 0, -71862, 0, 0, 0, -167232, 0, -41984, 0, -91584, 0, -101184, 0, 0, 0, 23408, 0, -154060, 0, 162656, 0, 152760, 0, 0, 0, -226044, 0, -140256, 0, -33054, 0, -195418, 0, 0, 0, -161974, 0, -22200, 0, 51184, 0, 43296, 0, 0, 0, -62696, 0, -111024, 0, 50176, 0, 28138, 0, 0, 0, 272, 0, 5880, 0, 60060, 0, 80280, 0, 0, 0, 202032, 0, 68332, 0, 9952, 0, 18424, 0, 0, 0, -15136, 0, -34952, 0, 80394, 0, 12668, 0, 0, 0, 33635, 0, -17710, 0, 53484, 0, -17820, 0, 0, 0, 182320, 0, 108948, 0, 92204, 0, 183552, 0, 0, 0, -18964, 0, -35634, 0, -13240, 0, -272320, 0, 0, 0, 225802, 0, 16712, 0, 2420, 0, 176664, 0, 0, 0, 43920, 0, -66304, 0, -123496, 0, -13952, 0, 0, 0, 80784, 0, -95028, 0, -99268, 0, -11858, 0, 0, 0, 67056, 0, -159808, 0, -131312, 0, -176850, 0, 0, 0, 4802, 0, 215280, 0, 44143, 0, 280584, 0, 0, 0, 356864, 0, 81106, 0, 81102, 0, 5280, 0, 0, 0, -85178, 0, 138928, 0, 117318, 0, -82680, 0, 0, 0, 310800, 0, -97920, 0, -171800, 0, 91398, 0, 0, 0, 26730, 0, -25564, 0, 261360, 0, -82232, 0, 0, 0, 57192, 0, -132912, 0, 234056, 0, 8204, 0, 0, 0, -110946, 0, -183044, 0, 7456, 0, -72648, 0, 0, 0, 4928, 0, -9780, 0, 238112, 0, 194480, 0, 0, 0, -49518, 0, 221184, 0, 33040, 0, 170812, 0, 0, 0, 77744, 0, 56578, 0, -44528, 0, -218334, 0, 0, 0, -21248, 0, -100380, 0, 233100, 0, 11760, 0, 0, 0, 40532, 0, 16324, 0, 180920, 0, 179318, 0, 0, 0, -161568, 0, 57376, 0, -61136, 0, -55118, 0, 0, 0, -48336, 0, -174054, 0, 92964, 0, -65408, 0, 0, 0, -38640, 0, 118592, 0, 149166, 0, 61336, 0, 0, 0, -9240, 0, 18694, 0, -28784, 0, 28638, 0, 0, 0, 56160, 0, 19136, 0, -12784, 0, 94468, 0, 0, 0, 216288, 0, -73920, 0, -55560, 0, -440320, 0, 0, 0, 155142, 0, 61222, 0, -42560, 0, -605912, 0, 0, 0, 14472, 0, 246078, 0, 206520, 0, 21168, 0, 0, 0, -104134, 0, 115368, 0, 186066, 0, 60852, 0, 0, 0, -79394, 0, -139273, 0, -126504, 0, -151724, 0, 0, 0, 86526, 0, -144036, 0, 4928, 0, -64680, 0, 0, 0, -371144, 0, -113344, 0, -64152, 0, -293826, 0, 0, 0, 255970, 0, 92880, 0, -41392, 0, 108444, 0, 0, 0, -55440, 0, 176120, 0, -194740, 0, 11154, 0, 0, 0, 270054, 0, 120536, 0, 6934, 0, -85498, 0, 0, 0, 199680, 0, 158112, 0, -124168, 0, -51390, 0, 0, 0, 72744, 0, -161552, 0, 12720, 0, -115068, 0, 0, 0, -175848, 0, 134368, 0, -42140, 0, 190944, 0, 0, 0, 33854, 0, 32736, 0, 117344, 0, 237032, 0, 0, 0, -35640, 0, 178054, 0, 129360, 0, 65232, 0, 0, 0, -76862, 0, 67760, 0, -32384, 0, 485440, 0, 0, 0, -94560, 0, 52788, 0, 154680, 0, 67396, 0, 0, 0, -162656, 0, -96156, 0, 90540, 0, 166896, 0, 0, 0, -64526, 0, 88736, 0, -88, 0, 3350, 0, 0, 0, -37942, 0, -209576, 0, -39424, 0, 9652, 0, 0, 0, 156032, 0, -212214, 0, 12772, 0, 31552, 0, 0, 0, 11308, 0, 28820, 0, -386240, 0, -35208, 0, 0, 0, 46480, 0, 19110, 0, -151544, 0, 97020, 0, 0, 0, -115070, 0, 9672, 0], "weight": 4, "weight_parity": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [0], [4], [0], [0], [0], [7], [0], [-11], [0], [68], [0], [-22], [0], [0], [0], [30], [0], [108], [0], [28], [0], [-184], [0], [0], [0], [-152], [0], [166], [0], [-32], [0], [272], [0], [0], [0], [370], [0], [-88], [0], [154], [0], [-212], [0], [0], [0], [512], [0], [49], [0], [120], [0], [98], [0], [0], [0], [432], [0], [-860], [0], [390], [0], [-77], [0], [0], [0], [-60], [0], [-736], [0], [840], [0], [630], [0], [0], [0], [476], [0], [1312], [0], [-311], [0], [436], [0], [0], [0], [664], [0], [-598], [0], [-154], [0], [-128], [0], [0], [0], [-914], [0], [-748], [0]]}