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mf_newforms • Show schema
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{'Nk2': 6156, 'analytic_conductor': 18.637650082244306, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 4, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': -1, 'char_values': [684, 2, [343, 533, 325], [1, 2, 2]], 'cm_discs': [], 'conrey_index': 343, 'conrey_indexes': [343], 'dim': 14, 'field_disc': -924285975415188642860806144, 'field_disc_factorization': [[-1, 1], [2, 12], [19, 7], [15888599, 2]], 'field_poly': [16384, -8192, 1024, 3584, -2688, 448, 528, -440, 132, 28, -42, 14, 1, -2, 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': [[5, [13312, -8400, -1348, 1337, 28, -66, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504011994563244, 'hecke_ring_generator_nbound': 29, 'hecke_ring_index': 4096, 'hecke_ring_index_factorization': [[2, 12]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '684.3.g.b', 'level': 684, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'minimal_twist': '76.3.b.b', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{1}q^{2}+\\beta _{2}q^{4}-\\beta _{10}q^{5}+(\\beta _{3}+\\beta _{5}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 14, 'rm_discs': [], 'sato_tate_group': '2.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '684.3.g', 'trace_display': [-2, 0, 0, 0], 'trace_hash': 1246168422585144722, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.870', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 6156, 'analytic_conductor': 18.637650082244306, 'char_conductor': 4, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': -1, 'char_values': [684, 2, [343, 533, 325], [1, 2, 2]], 'conrey_index': 343, 'cusp_dim': 232, 'dim': 90, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 412367192748, 'hecke_orbit_dims': [4, 14, 36, 36], 'label': '684.3.g', 'level': 684, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'mf_dim': 248, 'mf_new_dim': 90, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 90, 'sturm_bound': 360, 'trace_bound': 2, 'trace_display': [-2, 0, -4, 0], 'traces': [90, -2, 0, -6, -4, 0, 0, 28, 0, 8, 0, 0, 12, -24, 0, -62, 20, 0, 0, 40, 0, -72, 0, 0, 374, 86, 0, -90, -100, 0, 0, -52, 0, -76, 0, 0, 92, 0, 0, 180, 100, 0, 0, -120, 0, 164, 0, 0, -710, 14, 0, 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mf_twists_cc • Show schema
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id: 35512526
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 343, 'source_dim': 14, 'source_embedding_index': 6, 'source_hecke_orbit_code': 4504011994563244, 'source_is_minimal': False, 'source_label': '684.3.g.b.343.6', 'source_level': 684, 'target_conrey_index': 343, 'target_dim': 14, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504011994563244, 'target_is_minimal': False, 'target_label': '684.3.g.b.343.6', 'target_level': 684, 'twist_class_label': '76.3.b.b.39.9', 'twist_class_level': 76, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 35512527
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 343, 'source_dim': 14, 'source_embedding_index': 6, 'source_hecke_orbit_code': 4504011994563244, 'source_is_minimal': False, 'source_label': '684.3.g.b.343.6', 'source_level': 684, 'target_conrey_index': 39, 'target_dim': 14, 'target_embedding_index': 9, 'target_hecke_orbit_code': 4503668397178956, 'target_is_minimal': True, 'target_label': '76.3.b.b.39.9', 'target_level': 76, 'twist_class_label': '76.3.b.b.39.9', 'twist_class_level': 76, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 35512528
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 343, 'source_dim': 14, 'source_embedding_index': 6, 'source_hecke_orbit_code': 4504011994563244, 'source_is_minimal': False, 'source_label': '684.3.g.b.343.6', 'source_level': 684, 'target_conrey_index': 343, 'target_dim': 14, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504011994563244, 'target_is_minimal': False, 'target_label': '684.3.g.b.343.5', 'target_level': 684, 'twist_class_label': '76.3.b.b.39.9', 'twist_class_level': 76, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 35512529
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 343, 'source_dim': 14, 'source_embedding_index': 6, 'source_hecke_orbit_code': 4504011994563244, 'source_is_minimal': False, 'source_label': '684.3.g.b.343.6', 'source_level': 684, 'target_conrey_index': 39, 'target_dim': 14, 'target_embedding_index': 10, 'target_hecke_orbit_code': 4503668397178956, 'target_is_minimal': True, 'target_label': '76.3.b.b.39.10', 'target_level': 76, 'twist_class_label': '76.3.b.b.39.9', 'twist_class_level': 76, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 35512530
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 343, 'source_dim': 14, 'source_embedding_index': 6, 'source_hecke_orbit_code': 4504011994563244, 'source_is_minimal': False, 'source_label': '684.3.g.b.343.6', 'source_level': 684, 'target_conrey_index': 191, 'target_dim': 14, 'target_embedding_index': 12, 'target_hecke_orbit_code': 13511005090874560, 'target_is_minimal': False, 'target_label': '1216.3.d.d.191.12', 'target_level': 1216, 'twist_class_label': '76.3.b.b.39.9', 'twist_class_level': 76, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 35512531
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 343, 'source_dim': 14, 'source_embedding_index': 6, 'source_hecke_orbit_code': 4504011994563244, 'source_is_minimal': False, 'source_label': '684.3.g.b.343.6', 'source_level': 684, 'target_conrey_index': 191, 'target_dim': 14, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511005090874560, 'target_is_minimal': False, 'target_label': '1216.3.d.d.191.3', 'target_level': 1216, 'twist_class_label': '76.3.b.b.39.9', 'twist_class_level': 76, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 1206050
{'charpoly_factorization': [[[16384, 8192, 1024, -3584, -2688, -448, 528, 440, 132, -28, -42, -14, 1, 2, 1], 1]], 'hecke_orbit_code': 4504011994563244, 'p': 2}
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id: 1206051
{'charpoly_factorization': [[[0, 1], 14]], 'hecke_orbit_code': 4504011994563244, 'p': 3}
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id: 1206052
{'charpoly_factorization': [[[13312, -8400, -1348, 1337, 28, -66, 0, 1], 2]], 'hecke_orbit_code': 4504011994563244, 'p': 5}
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id: 1206053
{'charpoly_factorization': [[[46106276299, 0, 23021007551, 0, 3578469343, 0, 212956211, 0, 5808593, 0, 75725, 0, 453, 0, 1], 1]], 'hecke_orbit_code': 4504011994563244, 'p': 7}
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id: 1206054
{'charpoly_factorization': [[[94488337600, 0, 207279189936, 0, 72889781124, 0, 2781706433, 0, 41107428, 0, 280822, 0, 880, 0, 1], 1]], 'hecke_orbit_code': 4504011994563244, 'p': 11}
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id: 1206055
{'charpoly_factorization': [[[-1265920, 2184704, -907488, 7824, 9959, -293, -27, 1], 2]], 'hecke_orbit_code': 4504011994563244, 'p': 13}
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id: 1206056
{'charpoly_factorization': [[[69101055, -18411921, -417581, 355811, -9955, -1107, 17, 1], 2]], 'hecke_orbit_code': 4504011994563244, 'p': 17}
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id: 1206057
{'charpoly_factorization': [[[19, 0, 1], 7]], 'hecke_orbit_code': 4504011994563244, 'p': 19}
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id: 1206058
{'charpoly_factorization': [[[683970816311296, 0, 864035000025088, 0, 39218066795008, 0, 551803020800, 0, 2798046987, 0, 5204683, 0, 3881, 0, 1], 1]], 'hecke_orbit_code': 4504011994563244, 'p': 23}
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id: 1206059
{'charpoly_factorization': [[[112127472, -91750704, 10060400, 839992, -75791, -2901, 27, 1], 2]], 'hecke_orbit_code': 4504011994563244, 'p': 29}
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id: 1206060
{'charpoly_factorization': [[[112006799137177600, 0, 7005784227446784, 0, 136835964338176, 0, 1042205249536, 0, 3570928640, 0, 5704128, 0, 4048, 0, 1], 1]], 'hecke_orbit_code': 4504011994563244, 'p': 31}
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id: 1206061
{'charpoly_factorization': [[[914894720, 490075456, -48142944, -85712, 100072, -1508, -50, 1], 2]], 'hecke_orbit_code': 4504011994563244, 'p': 37}
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id: 1206062
{'charpoly_factorization': [[[-18882293760, 1089553152, 442902400, -1190928, -433472, -1776, 112, 1], 2]], 'hecke_orbit_code': 4504011994563244, 'p': 41}
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id: 1206063
{'charpoly_factorization': [[[584014118930917556224, 0, 9894601275600773376, 0, 51208545244013840, 0, 109716719259377, 0, 112918336940, 0, 57363094, 0, 13244, 0, 1], 1]], 'hecke_orbit_code': 4504011994563244, 'p': 43}
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id: 1206064
{'charpoly_factorization': [[[6486650127800008704, 0, 2593987636485123072, 0, 16602143603532784, 0, 38825334689281, 0, 44446706748, 0, 26838726, 0, 8204, 0, 1], 1]], 'hecke_orbit_code': 4504011994563244, 'p': 47}
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id: 1206065
{'charpoly_factorization': [[[-18228603200, 4696986240, -390622104, 10269704, 111981, -6645, 7, 1], 2]], 'hecke_orbit_code': 4504011994563244, 'p': 53}
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id: 1206066
{'charpoly_factorization': [[[505713449060797220934400, 0, 2547847697361471432704, 0, 4608193003005303072, 0, 3925759870481904, 0, 1663620366787, 0, 336602299, 0, 30513, 0, 1], 1]], 'hecke_orbit_code': 4504011994563244, 'p': 59}
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id: 1206067
{'charpoly_factorization': [[[522558358600, -16277769076, -1000269562, 29414873, 485080, -14158, -14, 1], 2]], 'hecke_orbit_code': 4504011994563244, 'p': 61}
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id: 1206068
{'charpoly_factorization': [[[29581563315101780094976, 0, 2501462523583208678400, 0, 5120555266235997504, 0, 3973974955017136, 0, 1503100062371, 0, 293178683, 0, 27889, 0, 1], 1]], 'hecke_orbit_code': 4504011994563244, 'p': 67}
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id: 1206069
{'charpoly_factorization': [[[498650857247309160038400, 0, 5732159751520555954176, 0, 15805923995875204096, 0, 11221518796559104, 0, 3467793570368, 0, 526066128, 0, 37812, 0, 1], 1]], 'hecke_orbit_code': 4504011994563244, 'p': 71}
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id: 1206070
{'charpoly_factorization': [[[-77971926925, -6681670753, 6909415, 11130931, 95497, -5907, -35, 1], 2]], 'hecke_orbit_code': 4504011994563244, 'p': 73}
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id: 1206071
{'charpoly_factorization': [[[184133506816245760000, 0, 2245915602448926244864, 0, 7079503618001244160, 0, 6799300948930560, 0, 2745532366528, 0, 498656432, 0, 38740, 0, 1], 1]], 'hecke_orbit_code': 4504011994563244, 'p': 79}
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id: 1206072
{'charpoly_factorization': [[[3439927501279049155608576, 0, 85763697787019364139008, 0, 174063065654252044288, 0, 81697848347602944, 0, 15885346272448, 0, 1466300592, 0, 62788, 0, 1], 1]], 'hecke_orbit_code': 4504011994563244, 'p': 83}
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id: 1206073
{'charpoly_factorization': [[[88310345728, 32804608000, 2083382784, 23700672, -1100800, -23640, 0, 1], 2]], 'hecke_orbit_code': 4504011994563244, 'p': 89}
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id: 1206074
{'charpoly_factorization': [[[4410892984320, -293552295936, -20455196416, 115812736, 4374632, -27396, -154, 1], 2]], 'hecke_orbit_code': 4504011994563244, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 2, 'label': '684.3.g.b', 'level': 684, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 88489000
{'hecke_orbit_code': 4504011994563244, 'n': 1, 'trace_an': 14}
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id: 88489001
{'hecke_orbit_code': 4504011994563244, 'n': 2, 'trace_an': -2}
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id: 88489002
{'hecke_orbit_code': 4504011994563244, 'n': 3, 'trace_an': 0}
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id: 88489003
{'hecke_orbit_code': 4504011994563244, 'n': 4, 'trace_an': 2}
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id: 88489004
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