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mf_newforms • Show schema
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{'Nk2': 720, 'analytic_conductor': 2.6550859502583277, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': 1, 'char_values': [45, 4, [11, 37], [2, 3]], 'cm_discs': [], 'conrey_index': 8, 'conrey_indexes': [8, 17], 'dim': 12, 'field_disc': 299203866038108160000, 'field_disc_factorization': [[2, 24], [3, 4], [5, 4], [137, 4]], 'field_poly': [506944, 0, 126224, 0, 3889, 0, -512, 0, -14, 0, -16, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 343664492589, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 82944, 'hecke_ring_index_factorization': [[2, 10], [3, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 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mf_hecke_nf • Show schema
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'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, -1, 12, -1, -6], [64, -64, -20, 11, -3, -4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 120, 6, -137, 66, 53, -12], [1136, 0, -268, 5, -35, 12, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1518, -348, -1259, 1704, -615, -6], [25216, 5824, -3212, 909, -1157, 676, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 24264, -6918, -12439, 21438, -2133, -5940], [129968, -20480, -14588, 5385, -4255, 252, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 359538, -38724, -220021, 292920, 24551, -88602], [4399744, -856384, -706676, 201011, -127323, 30812, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4953432, -584730, -3762665, 4045218, -305227, -776748]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [418024, 0, 83197, 0, 3248, 0, 634, 0, -56, 0, -3, 0], [-1578712, 0, -1896111, 0, -356014, 0, -4502, 0, 2538, 0, -71, 0], [78379688, 0, 22729229, 0, -2560724, 0, 158738, 0, -22972, 0, 1029, 0], [559571096, 0, 44277523, 0, 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mf_newspaces • Show schema
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{'Nk2': 720, 'analytic_conductor': 2.6550859502583277, 'char_conductor': 15, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': 1, 'char_values': [45, 4, [11, 37], [2, 3]], 'conrey_index': 8, 'cusp_dim': 28, 'dim': 12, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 343664492589, 'hecke_orbit_dims': [12], 'label': '45.4.f', 'level': 45, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 44, 'mf_new_dim': 12, 'num_forms': 1, 'prim_orbit_index': 5, 'relative_dim': 6, 'sturm_bound': 24, 'trace_bound': 0, 'trace_display': [0, 0, 0, 24], 'traces': [12, 0, 0, 0, 0, 0, 24, 0, 0, 192, 0, 0, -108, 0, 0, -648, 0, 0, 0, 0, 0, 1056, 0, 0, -144, 0, 0, -576, 0, 0, -1248, 0, 0, 0, 0, 0, 828, 0, 0, 2568, 0, 0, -96, 0, 0, 672, 0, 0, 0, 0, 0, -312, 0, 0, -1512, 0, 0, -3864, 0, 0, 96, 0, 0, 0, 0, 0, 1632, 0, 0, -1536, 0, 0, 3972, 0, 0, -480, 0, 0, 0, 0, 0, -7848, 0, 0, -1752, 0, 0, 7968, 0, 0, 4752, 0, 0, 0, 0, 0, 2772, 0, 0, 1368, 0, 0, 840, 0, 0, 6912, 0, 0, 0, 0, 0, -8256, 0, 0, -12384, 0, 0, -8448, 0, 0, -1404, 0, 0, 0, 0, 0, -5400, 0, 0, 13656, 0, 0, 11040, 0, 0, 5664, 0, 0, 0, 0, 0, 4128, 0, 0, 444, 0, 0, -12552, 0, 0, -19824, 0, 0, 0, 0, 0, 4020, 0, 0, -14880, 0, 0, 4464, 0, 0, 20352, 0, 0, 0, 0, 0, 15456, 0, 0, 3432, 0, 0, 4152, 0, 0, -7872, 0, 0, 0, 0, 0, 14064, 0, 0, 28320, 0, 0, -11988, 0, 0, -32952, 0, 0, 0, 0, 0, -13752, 0, 0, -3324, 0, 0, -28728, 0, 0, 10752, 0, 0, 0, 0, 0, 8064, 0, 0, 18144, 0, 0, 18360, 0, 0, -28752, 0, 0, 0, 0, 0, 36312, 0, 0, 3984, 0, 0, -16896, 0, 0, -18600, 0, 0, 0, 0, 0, -27600, 0, 0, -45624, 0, 0, -18624, 0, 0, 31176, 0, 0, 0, 0, 0, -7200, 0, 0, 21456, 0, 0, 79872, 0, 0, 39888, 0, 0, 0, 0, 0, 31332, 0, 0, 6336, 0, 0, 9744, 0, 0, -12672, 0, 0, 0, 0, 0, -60552, 0, 0, -29352, 0, 0, -5736, 0, 0, -14976, 0, 0, 0, 0, 0, -38064, 0, 0, -11328, 0, 0, -8412, 0, 0, 40704, 0, 0, 0, 0, 0, 8064, 0, 0, 12228, 0, 0, -41064, 0, 0, 49776, 0, 0, 0, 0, 0, -3060, 0, 0, -66336, 0, 0, -624, 0, 0, 55728, 0, 0, 0, 0, 0, -27360, 0, 0, 30864, 0, 0, 71136, 0, 0, -24252, 0, 0, 0, 0, 0, -37176, 0, 0, 2088, 0, 0, -59964, 0, 0, -66528, 0, 0, 0, 0, 0, 43392, 0, 0, 5856, 0, 0, 38472, 0, 0, 40128, 0, 0, 0, 0, 0, -14028, 0, 0, 76416, 0, 0, 40992, 0, 0, 13056, 0, 0, 0, 0, 0, 48480, 0, 0, -29664, 0, 0, 4800, 0, 0, -52680, 0, 0, 0, 0, 0, 5952, 0, 0, -104928, 0, 0, -53004, 0, 0, -128160, 0, 0, 0, 0, 0, 69408, 0, 0, 49788, 0, 0, 12288, 0, 0, 45168, 0, 0, 0, 0, 0, 64260, 0, 0, 73728, 0, 0, -67560, 0, 0, -60768, 0, 0, 0, 0, 0, 44544, 0, 0, 19440, 0, 0, -44064, 0, 0, 6024, 0, 0, 0, 0, 0, -82200, 0, 0, 37656, 0, 0, -36936, 0, 0, -29568, 0, 0, 0, 0, 0, -50688, 0, 0, 54924, 0, 0, -51360, 0, 0, -42288, 0, 0, 0, 0, 0, 83232, 0, 0, -22056, 0, 0, 54144, 0, 0, -35808, 0, 0, 0, 0, 0, 6720, 0, 0, 528, 0, 0, 57192, 0, 0, 62208, 0, 0, 0, 0, 0, 46800, 0, 0, -44832, 0, 0, 30912, 0, 0, 245856, 0, 0, 0, 0, 0, -44856, 0, 0, 61104, 0, 0, -40416, 0, 0, 37104, 0, 0, 0, 0, 0, 5844, 0, 0, -150168, 0, 0, -18384, 0, 0, -161232, 0, 0, 0, 0, 0, -38712, 0, 0, -125424, 0, 0, 72672, 0, 0, -129504, 0, 0, 0, 0, 0, -132264, 0, 0, 113856, 0, 0, 87132, 0, 0, 65088, 0, 0, 0, 0, 0, 43104, 0, 0, -19692, 0, 0, -74040, 0, 0, 106560, 0, 0, 0, 0, 0, -3372, 0, 0, -22728, 0, 0, 42336, 0, 0, 186240, 0, 0, 0, 0, 0, -112224, 0, 0, 9240, 0, 0, -32448, 0, 0, -135840, 0, 0, 0, 0, 0, -82176, 0, 0, 28032, 0, 0, -70068, 0, 0, -3432, 0, 0, 0, 0, 0, -126144, 0, 0, -50160, 0, 0, 212064, 0, 0, 44976, 0, 0, 0, 0, 0, 78168, 0, 0, 24576, 0, 0, 98160, 0, 0, 269472, 0, 0, 0, 0, 0, 159624, 0, 0, -155616, 0, 0, -112800, 0, 0, 62880, 0, 0, 0, 0, 0, -41256, 0, 0, 122856, 0, 0, 61812, 0, 0, -143520, 0, 0, 0, 0, 0, -29376, 0, 0, 83436, 0, 0, -61056, 0, 0, -149088, 0, 0, 0, 0, 0, -17028, 0, 0, -152640, 0, 0, -28800, 0, 0, -243936, 0, 0, 0, 0, 0, -140712, 0, 0, 1536, 0, 0, -5784, 0, 0, 15552, 0, 0, 0, 0, 0, 146832, 0, 0, 180288, 0, 0, 122976, 0, 0, 128640, 0, 0, 0, 0, 0, 165096, 0, 0, -59328, 0, 0, -192696, 0, 0, -81600, 0, 0, 0, 0, 0, 134400, 0, 0, 76968, 0, 0, 80760, 0, 0, 28992, 0, 0, 0, 0, 0, 98136, 0, 0, -58560, 0, 0, -307008, 0, 0, -57252, 0, 0, 0, 0, 0, 31752, 0, 0, -146592, 0, 0, -227484, 0, 0, -24576, 0, 0, 0, 0, 0, -247392, 0, 0, -126096, 0, 0, 64704, 0, 0, 44736, 0, 0, 0, 0, 0, 203244, 0, 0, 488928, 0, 0, 220464, 0, 0, -259200, 0, 0, 0, 0, 0, 51840, 0, 0, 157464, 0, 0, -117288, 0, 0, -43152, 0, 0, 0, 0, 0, 101760, 0, 0, 23232, 0, 0, -32544, 0, 0, 317712, 0, 0, 0, 0, 0, -4296, 0, 0, 203124, 0, 0, 171960, 0, 0, -11280, 0, 0, 0, 0, 0, -171684, 0, 0, -22368, 0, 0, -189888, 0, 0, -180864, 0, 0, 0, 0, 0, -58752, 0, 0, -248544, 0, 0, 192864, 0, 0, -125940, 0, 0, 0, 0, 0, -26904, 0, 0, -109608, 0, 0, 69888, 0, 0, -542304, 0, 0, 0, 0, 0, 384960, 0, 0, -151728, 0, 0, -225120, 0, 0, 411888, 0, 0, 0, 0, 0, -46980, 0, 0, -173856], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 36009
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.f.a', 'source_level': 45, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.4.f.a', 'target_level': 45, 'twist_class_label': '45.4.f.a', 'twist_class_level': 45, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 36010
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.f.a', 'source_level': 45, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.4.f.a', 'target_level': 45, 'twist_class_label': '45.4.f.a', 'twist_class_level': 45, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 36011
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.f.a', 'source_level': 45, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.4.f.a', 'target_level': 45, 'twist_class_label': '45.4.f.a', 'twist_class_level': 45, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 36012
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.f.a', 'source_level': 45, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.4.f.a', 'target_level': 45, 'twist_class_label': '45.4.f.a', 'twist_class_level': 45, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 36013
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.f.a', 'source_level': 45, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '225.4.f.c', 'target_level': 225, 'twist_class_label': '45.4.f.a', 'twist_class_level': 45, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 36014
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.f.a', 'source_level': 45, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '225.4.f.c', 'target_level': 225, 'twist_class_label': '45.4.f.a', 'twist_class_level': 45, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 36015
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.f.a', 'source_level': 45, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '225.4.f.c', 'target_level': 225, 'twist_class_label': '45.4.f.a', 'twist_class_level': 45, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 36016
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.f.a', 'source_level': 45, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '225.4.f.c', 'target_level': 225, 'twist_class_label': '45.4.f.a', 'twist_class_level': 45, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 36017
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.f.a', 'source_level': 45, 'target_char_orbit': 23, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '720.4.w.d', 'target_level': 720, 'twist_class_label': '45.4.f.a', 'twist_class_level': 45, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 36018
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.f.a', 'source_level': 45, 'target_char_orbit': 23, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '720.4.w.d', 'target_level': 720, 'twist_class_label': '45.4.f.a', 'twist_class_level': 45, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 36019
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.f.a', 'source_level': 45, 'target_char_orbit': 23, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '720.4.w.d', 'target_level': 720, 'twist_class_label': '45.4.f.a', 'twist_class_level': 45, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 36020
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.f.a', 'source_level': 45, 'target_char_orbit': 23, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '720.4.w.d', 'target_level': 720, 'twist_class_label': '45.4.f.a', 'twist_class_level': 45, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 150550
{'charpoly_factorization': [[[4096, 0, 0, 0, 149073, 0, 0, 0, 978, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343664492589, 'p': 2}
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id: 150551
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 343664492589, 'p': 3}
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id: 150552
{'charpoly_factorization': [[[3814697265625, 0, 17578125000, 0, 117421875, 0, 3389200, 0, 7515, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 343664492589, 'p': 5}
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id: 150553
{'charpoly_factorization': [[[700928, -369408, 97344, 2560, 72, -12, 1], 2]], 'hecke_orbit_code': 343664492589, 'p': 7}
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id: 150554
{'charpoly_factorization': [[[2390999552, 0, 5840832, 0, 4344, 0, 1], 2]], 'hecke_orbit_code': 343664492589, 'p': 11}
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id: 150555
{'charpoly_factorization': [[[40033352, -17341224, 3755844, -113600, 1458, 54, 1], 2]], 'hecke_orbit_code': 343664492589, 'p': 13}
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id: 150556
{'charpoly_factorization': [[[815576274079077892096, 0, 0, 0, 4537848559116288, 0, 0, 0, 138301968, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343664492589, 'p': 17}
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id: 150557
{'charpoly_factorization': [[[604661760000, 0, 226022400, 0, 26640, 0, 1], 2]], 'hecke_orbit_code': 343664492589, 'p': 19}
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id: 150558
{'charpoly_factorization': [[[447271711305017847709696, 0, 0, 0, 54082669119602688, 0, 0, 0, 946426368, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343664492589, 'p': 23}
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id: 150559
{'charpoly_factorization': [[[-3276052522632, 0, 815112972, 0, -58854, 0, 1], 2]], 'hecke_orbit_code': 343664492589, 'p': 29}
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id: 150560
{'charpoly_factorization': [[[333184, 19728, 312, 1], 4]], 'hecke_orbit_code': 343664492589, 'p': 31}
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id: 150561
{'charpoly_factorization': [[[431026413512, 30656156424, 1090188324, 14597920, 85698, -414, 1], 2]], 'hecke_orbit_code': 343664492589, 'p': 37}
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id: 150562
{'charpoly_factorization': [[[1313254395137288, 0, 39690796812, 0, 367686, 0, 1], 2]], 'hecke_orbit_code': 343664492589, 'p': 41}
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id: 150563
{'charpoly_factorization': [[[12363096915968, -421035245568, 7169347584, -9036800, 1152, 48, 1], 2]], 'hecke_orbit_code': 343664492589, 'p': 43}
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id: 150564
{'charpoly_factorization': [[[119078333987776736650168631296, 0, 0, 0, 103354367855716466688, 0, 0, 0, 22535002368, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343664492589, 'p': 47}
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id: 150565
{'charpoly_factorization': [[[9553408190127671975137509376, 0, 0, 0, 48541234921077547008, 0, 0, 0, 14798523408, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343664492589, 'p': 53}
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id: 150566
{'charpoly_factorization': [[[-1998258773488128, 0, 52376651712, 0, -421176, 0, 1], 2]], 'hecke_orbit_code': 343664492589, 'p': 59}
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id: 150567
{'charpoly_factorization': [[[-70019072, -341088, -24, 1], 4]], 'hecke_orbit_code': 343664492589, 'p': 61}
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id: 150568
{'charpoly_factorization': [[[25774917628854272, -153730046214144, 458448159744, 325457920, 332928, -816, 1], 2]], 'hecke_orbit_code': 343664492589, 'p': 67}
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id: 150569
{'charpoly_factorization': [[[826210599600128, 0, 88146496512, 0, 602976, 0, 1], 2]], 'hecke_orbit_code': 343664492589, 'p': 71}
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id: 150570
{'charpoly_factorization': [[[3552805641982472, 34127756459256, 163913239044, -888350720, 1972098, -1986, 1], 2]], 'hecke_orbit_code': 343664492589, 'p': 73}
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id: 150571
{'charpoly_factorization': [[[23809566408966144, 0, 446739648768, 0, 1996512, 0, 1], 2]], 'hecke_orbit_code': 343664492589, 'p': 79}
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id: 150572
{'charpoly_factorization': [[[404913058349372020655736460857573376, 0, 0, 0, 3021932996774807407362048, 0, 0, 0, 4125230408448, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343664492589, 'p': 83}
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id: 150573
{'charpoly_factorization': [[[-17269984128833928, 0, 928594032012, 0, -2356326, 0, 1], 2]], 'hecke_orbit_code': 343664492589, 'p': 89}
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id: 150574
{'charpoly_factorization': [[[1300409140717475912, -2088546858965544, 1677175223364, 182245120, 960498, -1386, 1], 2]], 'hecke_orbit_code': 343664492589, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 1, 'label': '45.4.f.a', 'level': 45, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 32563000
{'hecke_orbit_code': 343664492589, 'n': 1, 'trace_an': 12}
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id: 32563001
{'hecke_orbit_code': 343664492589, 'n': 2, 'trace_an': 0}
-
id: 32563002
{'hecke_orbit_code': 343664492589, 'n': 3, 'trace_an': 0}
-
id: 32563003
{'hecke_orbit_code': 343664492589, 'n': 4, 'trace_an': 0}
-
id: 32563004
{'hecke_orbit_code': 343664492589, 'n': 5, 'trace_an': 0}
-
id: 32563005
{'hecke_orbit_code': 343664492589, 'n': 6, 'trace_an': 0}
-
id: 32563006
{'hecke_orbit_code': 343664492589, 'n': 7, 'trace_an': 24}
-
id: 32563007
{'hecke_orbit_code': 343664492589, 'n': 8, 'trace_an': 0}
-
id: 32563008
{'hecke_orbit_code': 343664492589, 'n': 9, 'trace_an': 0}
-
id: 32563009
{'hecke_orbit_code': 343664492589, 'n': 10, 'trace_an': 192}
-
id: 32563010
{'hecke_orbit_code': 343664492589, 'n': 11, 'trace_an': 0}
-
id: 32563011
{'hecke_orbit_code': 343664492589, 'n': 12, 'trace_an': 0}
-
id: 32563012
{'hecke_orbit_code': 343664492589, 'n': 13, 'trace_an': -108}
-
id: 32563013
{'hecke_orbit_code': 343664492589, 'n': 14, 'trace_an': 0}
-
id: 32563014
{'hecke_orbit_code': 343664492589, 'n': 15, 'trace_an': 0}
-
id: 32563015
{'hecke_orbit_code': 343664492589, 'n': 16, 'trace_an': -648}
-
id: 32563016
{'hecke_orbit_code': 343664492589, 'n': 17, 'trace_an': 0}
-
id: 32563017
{'hecke_orbit_code': 343664492589, 'n': 18, 'trace_an': 0}
-
id: 32563018
{'hecke_orbit_code': 343664492589, 'n': 19, 'trace_an': 0}
-
id: 32563019
{'hecke_orbit_code': 343664492589, 'n': 20, 'trace_an': 0}
-
id: 32563020
{'hecke_orbit_code': 343664492589, 'n': 21, 'trace_an': 0}
-
id: 32563021
{'hecke_orbit_code': 343664492589, 'n': 22, 'trace_an': 1056}
-
id: 32563022
{'hecke_orbit_code': 343664492589, 'n': 23, 'trace_an': 0}
-
id: 32563023
{'hecke_orbit_code': 343664492589, 'n': 24, 'trace_an': 0}
-
id: 32563024
{'hecke_orbit_code': 343664492589, 'n': 25, 'trace_an': -144}
-
id: 32563025
{'hecke_orbit_code': 343664492589, 'n': 26, 'trace_an': 0}
-
id: 32563026
{'hecke_orbit_code': 343664492589, 'n': 27, 'trace_an': 0}
-
id: 32563027
{'hecke_orbit_code': 343664492589, 'n': 28, 'trace_an': -576}
-
id: 32563028
{'hecke_orbit_code': 343664492589, 'n': 29, 'trace_an': 0}
-
id: 32563029
{'hecke_orbit_code': 343664492589, 'n': 30, 'trace_an': 0}
-
id: 32563030
{'hecke_orbit_code': 343664492589, 'n': 31, 'trace_an': -1248}
-
id: 32563031
{'hecke_orbit_code': 343664492589, 'n': 32, 'trace_an': 0}
-
id: 32563032
{'hecke_orbit_code': 343664492589, 'n': 33, 'trace_an': 0}
-
id: 32563033
{'hecke_orbit_code': 343664492589, 'n': 34, 'trace_an': 0}
-
id: 32563034
{'hecke_orbit_code': 343664492589, 'n': 35, 'trace_an': 0}
-
id: 32563035
{'hecke_orbit_code': 343664492589, 'n': 36, 'trace_an': 0}
-
id: 32563036
{'hecke_orbit_code': 343664492589, 'n': 37, 'trace_an': 828}
-
id: 32563037
{'hecke_orbit_code': 343664492589, 'n': 38, 'trace_an': 0}
-
id: 32563038
{'hecke_orbit_code': 343664492589, 'n': 39, 'trace_an': 0}
-
id: 32563039
{'hecke_orbit_code': 343664492589, 'n': 40, 'trace_an': 2568}
-
id: 32563040
{'hecke_orbit_code': 343664492589, 'n': 41, 'trace_an': 0}
-
id: 32563041
{'hecke_orbit_code': 343664492589, 'n': 42, 'trace_an': 0}
-
id: 32563042
{'hecke_orbit_code': 343664492589, 'n': 43, 'trace_an': -96}
-
id: 32563043
{'hecke_orbit_code': 343664492589, 'n': 44, 'trace_an': 0}
-
id: 32563044
{'hecke_orbit_code': 343664492589, 'n': 45, 'trace_an': 0}
-
id: 32563045
{'hecke_orbit_code': 343664492589, 'n': 46, 'trace_an': 672}
-
id: 32563046
{'hecke_orbit_code': 343664492589, 'n': 47, 'trace_an': 0}
-
id: 32563047
{'hecke_orbit_code': 343664492589, 'n': 48, 'trace_an': 0}
-
id: 32563048
{'hecke_orbit_code': 343664492589, 'n': 49, 'trace_an': 0}
-
id: 32563049
{'hecke_orbit_code': 343664492589, 'n': 50, 'trace_an': 0}
-
id: 32563050
{'hecke_orbit_code': 343664492589, 'n': 51, 'trace_an': 0}
-
id: 32563051
{'hecke_orbit_code': 343664492589, 'n': 52, 'trace_an': -312}
-
id: 32563052
{'hecke_orbit_code': 343664492589, 'n': 53, 'trace_an': 0}
-
id: 32563053
{'hecke_orbit_code': 343664492589, 'n': 54, 'trace_an': 0}
-
id: 32563054
{'hecke_orbit_code': 343664492589, 'n': 55, 'trace_an': -1512}
-
id: 32563055
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