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mf_newforms • Show schema
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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 4464, 'analytic_conductor': 8.911304865574891, 'char_conductor': 124, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [1116, 2, [559, 497, 685], [1, 2, 1]], 'conrey_index': 991, 'cusp_dim': 184, 'dim': 78, 'eis_dim': 16, 'eis_new_dim': 4, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 412350415964, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 6, 8, 12, 16, 16], 'label': '1116.2.g', 'level': 1116, '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, 31], 'level_radical': 186, 'mf_dim': 200, 'mf_new_dim': 82, 'num_forms': 10, 'prim_orbit_index': 4, 'relative_dim': 78, 'sturm_bound': 384, 'trace_bound': 14, 'trace_display': [2, 0, 4, 0], 'traces': [78, 2, 0, 2, 4, 0, 0, -7, 0, -7, 0, 0, 0, -7, 0, -6, 0, 0, 0, 11, 0, 0, 0, 0, 58, 0, 0, 3, 0, 0, 0, 2, 0, 0, 0, 0, 0, -3, 0, 20, 4, 0, 0, 0, 0, 0, 0, 0, -54, 47, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -26, 0, -19, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, -33, 0, 0, 0, -5, 0, -19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, -60, -49, 0, -31, 60, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 67, 36, 0, 0, 0, 0, 81, 0, 0, 78, 0, 0, -10, 48, 0, 0, -54, 0, 0, 0, 0, 80, 44, 0, 0, 0, 0, 0, -49, 0, 1, 0, 0, 0, 0, 0, 0, 4, 0, 0, 52, 0, 0, 0, 0, 20, 0, 0, -49, 0, 0, 0, -89, 0, 0, 0, 0, -26, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, -67, 0, 0, -100, 61, 0, 21, 0, 0, 0, 89, 0, -111, 0, 0, 16, -103, 0, 0, 0, 0, 0, 0, 0, 61, 0, 0, 4, -75, 0, 0, -120, 0, 0, -69, 0, -43, 0, 0, 0, 0, 0, 0, -60, 0, 0, -121, 0, 0, 0, 0, 0, -90, 0, 0, 60, 0, 0, 53, 0, -111, 0, 0, -96, 0, 0, 10, -12, 0, 0, 0, 0, 44, 0, 0, 0, -115, 0, -196, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 76, 0, 0, 191, 0, -180, 0, 0, 22, 0, 0, 0, 36, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 73, 0, 0, 0, 125, 0, 0, -84, 0, 0, 20, 0, 0, 0, 0, 0, 81, 0, -120, 56, 0, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 16, 0, 0, 0, 0, 156, 0, 0, -100, 270, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 96, 0, 82, -176, 0, 0, -185, 0, 149, 0, 0, 0, -67, 0, 75, 0, 0, 0, 157, 0, 0, 0, 0, -60, 0, 0, -7, 0, 0, 0, 199, 0, 0, 0, 0, 0, 225, 0, 223, 24, 0, 0, 0, 0, 0, 0, 0, -60, 149, 0, 0, 0, 0, 0, 43, 0, 0, 0, 0, 0, -147, 0, 175, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 16, 0, 0, 0, 175, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 193, 0, 0, 96, -246, 0, 60, -136, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, -66, -136, 0, 0, 0, 0, -34, 0, 0, 120, 0, 0, -74, -96, 0, 0, -101, 0, 0, 0, 0, -40, 48, 0, 0, 0, 0, 0, -151, 0, 57, 0, 0, 0, 0, 0, 0, -52, 0, 0, 12, 0, 0, 0, 0, 182, 0, 0, -53, 0, 0, 0, -266, 0, 0, 0, 0, -36, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -73, 0, -47, 0, 0, -96, 252, 0, 236, 0, 0, 0, 236, 0, 89, 0, 0, -116, -286, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 76, -215, 0, 0, 172, 0, 0, -268, 0, -176, 0, 0, 0, 0, 0, 0, 228, 0, 0, -277, 0, 0, 0, 0, 0, -71, 0, 0, 12, 0, 0, 187, 0, 305, 0, 0, 86, 0, 0, 155, -16, 0, 0, 0, 0, 309, 0, 0, 0, -292, 0, -141, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -185, 164, 0, 0, 387, 0, 54, 0, 0, 124, 0, 0, 0, -216, 0, 0, 0, 0, -450, 0, 0, 0, 0, 0, -274, 0, 0, 0, 0, 0, -64, 0, 0, 0, 137, 0, 0, -8, 0, 0, 52, 0, 0, 0, 0, 0, 308, 0, -186, -244, 0, 0, 0, 0, 0, 0, 0, 0, -15, 0, 0, 136, 0, 0, 0, 0, 201, 0, 0, 64, 335, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 41, 0, 216, 280, 0, 0, -472, 0, 172, 0, 0, 0, -396, 0, 234, 0, 0, 0, 303, 0, 0, 0, 0, -196, 0, 0, -49, 0, 0, 0, 240, 0, 0, 0, 0, 0, 304, 0, 109, -40, 0, 0, 0, 0, 0, 0, 0, -288, 417, 0, 0, 0, 0, 0, 181, 0, 0, 0, 0, 0, -240, 0, 180, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, -437, 0, 0, 0, 324, 0, 373, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -155, 0, 0, 38, -267, 0, 427, 220, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 260, 284, 0, 0, 0, 0, -88, 0, 0, 256, 0, 0, -209, 256, 0, 0, -124, 0, 0, 0, 0, -404, 17, 0, 0, 0, 0, 0, -392, 0, 153, 0, 0, 0, 0, 0, 0, -216, 0, 0, 19, 0, 0, 0, 0, 208, 0, 0, -128, 0, 0, 0, -404, 0, 0, 0, 0, 168, 0, 0, 0, -408, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 39, 0, -51, 0, 0, -92, 374, 0, -70, 0, 0, 0, 447, 0, -516, 0, 0, -80, -570, 0, 0, 0, 0, 0, 0, 0, 189, 0, 0, -162, -236, 0, 0, 40, 0, 0, -335, 0, -487, 0, 0, 0, 0, 0, 0, -108, 0, 0, -586, 0, 0, 0, 0, 0, -192, 0, 0, 168, 0, 0, 174, 0, -231, 0, 0, -140, 0, 0, 222], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40973001
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 991, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156956, 'source_is_minimal': True, 'source_label': '1116.2.g.c.991.1', 'source_level': 1116, 'target_conrey_index': 991, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156956, 'target_is_minimal': True, 'target_label': '1116.2.g.c.991.1', 'target_level': 1116, 'twist_class_label': '1116.2.g.c.991.1', 'twist_class_level': 1116, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40973002
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 991, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156956, 'source_is_minimal': True, 'source_label': '1116.2.g.c.991.1', 'source_level': 1116, 'target_conrey_index': 991, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007611605156956, 'target_is_minimal': True, 'target_label': '1116.2.g.c.991.4', 'target_level': 1116, 'twist_class_label': '1116.2.g.c.991.1', 'twist_class_level': 1116, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40973003
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 991, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156956, 'source_is_minimal': True, 'source_label': '1116.2.g.c.991.1', 'source_level': 1116, 'target_conrey_index': 991, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007611605156956, 'target_is_minimal': True, 'target_label': '1116.2.g.c.991.3', 'target_level': 1116, 'twist_class_label': '1116.2.g.c.991.1', 'twist_class_level': 1116, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40973004
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 991, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156956, 'source_is_minimal': True, 'source_label': '1116.2.g.c.991.1', 'source_level': 1116, 'target_conrey_index': 991, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007611605156956, 'target_is_minimal': True, 'target_label': '1116.2.g.c.991.2', 'target_level': 1116, 'twist_class_label': '1116.2.g.c.991.1', 'twist_class_level': 1116, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 40973005
{'conductor': 31, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 991, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156956, 'source_is_minimal': True, 'source_label': '1116.2.g.c.991.1', 'source_level': 1116, 'target_conrey_index': 991, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007611605156956, 'target_is_minimal': True, 'target_label': '1116.2.g.c.991.2', 'target_level': 1116, 'twist_class_label': '1116.2.g.c.991.1', 'twist_class_level': 1116, 'twisting_char_label': '31.30', 'twisting_conrey_index': 30, 'weight': 2}
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id: 40973006
{'conductor': 93, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 991, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156956, 'source_is_minimal': True, 'source_label': '1116.2.g.c.991.1', 'source_level': 1116, 'target_conrey_index': 991, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007611605156956, 'target_is_minimal': True, 'target_label': '1116.2.g.c.991.3', 'target_level': 1116, 'twist_class_label': '1116.2.g.c.991.1', 'twist_class_level': 1116, 'twisting_char_label': '93.92', 'twisting_conrey_index': 92, 'weight': 2}
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id: 40973007
{'conductor': 124, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 991, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156956, 'source_is_minimal': True, 'source_label': '1116.2.g.c.991.1', 'source_level': 1116, 'target_conrey_index': 991, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007611605156956, 'target_is_minimal': True, 'target_label': '1116.2.g.c.991.4', 'target_level': 1116, 'twist_class_label': '1116.2.g.c.991.1', 'twist_class_level': 1116, 'twisting_char_label': '124.123', 'twisting_conrey_index': 123, 'weight': 2}
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id: 40973008
{'conductor': 372, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 991, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156956, 'source_is_minimal': True, 'source_label': '1116.2.g.c.991.1', 'source_level': 1116, 'target_conrey_index': 991, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156956, 'target_is_minimal': True, 'target_label': '1116.2.g.c.991.1', 'target_level': 1116, 'twist_class_label': '1116.2.g.c.991.1', 'twist_class_level': 1116, 'twisting_char_label': '372.371', 'twisting_conrey_index': 371, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1697100
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 9007611605156956, 'p': 2}
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id: 1697101
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007611605156956, 'p': 3}
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id: 1697102
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007611605156956, 'p': 5}
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id: 1697103
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007611605156956, 'p': 7}
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id: 1697104
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007611605156956, 'p': 11}
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id: 1697105
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007611605156956, 'p': 13}
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id: 1697106
{'charpoly_factorization': [[[62, 0, 1], 2]], 'hecke_orbit_code': 9007611605156956, 'p': 17}
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id: 1697107
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007611605156956, 'p': 19}
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id: 1697108
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007611605156956, 'p': 23}
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id: 1697109
{'charpoly_factorization': [[[62, 0, 1], 2]], 'hecke_orbit_code': 9007611605156956, 'p': 29}
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id: 1697110
{'charpoly_factorization': [[[-31, 0, 1], 2]], 'hecke_orbit_code': 9007611605156956, 'p': 31}
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id: 1697111
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007611605156956, 'p': 37}
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id: 1697112
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007611605156956, 'p': 41}
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id: 1697113
{'charpoly_factorization': [[[-124, 0, 1], 2]], 'hecke_orbit_code': 9007611605156956, 'p': 43}
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id: 1697114
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 9007611605156956, 'p': 47}
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id: 1697115
{'charpoly_factorization': [[[62, 0, 1], 2]], 'hecke_orbit_code': 9007611605156956, 'p': 53}
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id: 1697116
{'charpoly_factorization': [[[50, 0, 1], 2]], 'hecke_orbit_code': 9007611605156956, 'p': 59}
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id: 1697117
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007611605156956, 'p': 61}
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id: 1697118
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007611605156956, 'p': 67}
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id: 1697119
{'charpoly_factorization': [[[98, 0, 1], 2]], 'hecke_orbit_code': 9007611605156956, 'p': 71}
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id: 1697120
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007611605156956, 'p': 73}
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id: 1697121
{'charpoly_factorization': [[[-124, 0, 1], 2]], 'hecke_orbit_code': 9007611605156956, 'p': 79}
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id: 1697122
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007611605156956, 'p': 83}
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id: 1697123
{'charpoly_factorization': [[[62, 0, 1], 2]], 'hecke_orbit_code': 9007611605156956, 'p': 89}
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id: 1697124
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 9007611605156956, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 3, 'label': '1116.2.g.c', 'level': 1116, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 30874063
{'hecke_orbit_code': 9007611605156956, 'n': 1, 'trace_an': 4}
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id: 30874064
{'hecke_orbit_code': 9007611605156956, 'n': 2, 'trace_an': 0}
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id: 30874065
{'hecke_orbit_code': 9007611605156956, 'n': 3, 'trace_an': 0}
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id: 30874066
{'hecke_orbit_code': 9007611605156956, 'n': 4, 'trace_an': -8}
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id: 30874067
{'hecke_orbit_code': 9007611605156956, 'n': 5, 'trace_an': 0}
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id: 30874068
{'hecke_orbit_code': 9007611605156956, 'n': 6, 'trace_an': 0}
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id: 30874069
{'hecke_orbit_code': 9007611605156956, 'n': 7, 'trace_an': 0}
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