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mf_newforms • Show schema
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{'Nk2': 10752, 'analytic_conductor': 39.64928352385769, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 28, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 38, 'char_orbit_label': 'bl', 'char_order': 6, 'char_parity': 1, 'char_values': [672, 6, [127, 421, 449, 577], [3, 6, 6, 1]], 'cm_discs': [], 'conrey_index': 31, 'dim': 48, 'has_non_self_twist': 1, 'hecke_orbit': 2, 'hecke_orbit_code': 4506142315119264, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 28, 6, 1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '672.4.bl.b', 'level': 672, '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, 7], 'level_radical': 42, 'minimal_twist': '672.4.bl.a', 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 10752, 'analytic_conductor': 39.64928352385769, 'char_conductor': 28, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 38, 'char_orbit_label': 'bl', 'char_order': 6, 'char_parity': 1, 'char_values': [672, 6, [127, 421, 449, 577], [3, 6, 6, 1]], 'conrey_index': 31, 'cusp_dim': 736, 'dim': 96, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_orbit_code': 2542687748768, 'hecke_orbit_dims': [48, 48], 'label': '672.4.bl', 'level': 672, '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, 7], 'level_radical': 42, 'mf_dim': 800, 'mf_new_dim': 96, 'num_forms': 2, 'prim_orbit_index': 6, 'relative_dim': 48, 'sturm_bound': 512, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 1368, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -368, 0, 0, 0, -784, 0, 0, 0, 336, 0, 0, 0, -1200, 0, 0, 0, 560, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 3136, 0, 0, 0, -3888, 0, 0, 0, -2112, 0, 0, 0, 0, 0, 0, 0, -2760, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 1560, 0, 0, 0, 984, 0, 0, 0, 0, 0, 0, 0, 1944, 0, 0, 0, 3064, 0, 0, 0, 0, 0, 0, 0, -4680, 0, 0, 0, -4888, 0, 0, 0, 4256, 0, 0, 0, 3360, 0, 0, 0, 18600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21312, 0, 0, 0, -19824, 0, 0, 0, 2544, 0, 0, 0, -3696, 0, 0, 0, -14928, 0, 0, 0, 5784, 0, 0, 0, 0, 0, 0, 0, -12240, 0, 0, 0, -1080, 0, 0, 0, 864, 0, 0, 0, -2848, 0, 0, 0, -3960, 0, 0, 0, -15280, 0, 0, 0, 0, 0, 0, 0, -5328, 0, 0, 0, 25736, 0, 0, 0, 464, 0, 0, 0, -24624, 0, 0, 0, 6120, 0, 0, 0, 6384, 0, 0, 0, 0, 0, 0, 0, -8568, 0, 0, 0, 9120, 0, 0, 0, 4008, 0, 0, 0, 41760, 0, 0, 0, 21792, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24336, 0, 0, 0, -19776, 0, 0, 0, -12504, 0, 0, 0, 1760, 0, 0, 0, -23904, 0, 0, 0, 20720, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 49096, 0, 0, 0, -9136, 0, 0, 0, -11664, 0, 0, 0, -23760, 0, 0, 0, -3744, 0, 0, 0, 0, 0, 0, 0, 37944, 0, 0, 0, -6848, 0, 0, 0, 4536, 0, 0, 0, 12608, 0, 0, 0, -39120, 0, 0, 0, -14160, 0, 0, 0, 0, 0, 0, 0, 24288, 0, 0, 0, -9744, 0, 0, 0, 16824, 0, 0, 0, -94016, 0, 0, 0, 15984, 0, 0, 0, 9688, 0, 0, 0, 0, 0, 0, 0, -9576, 0, 0, 0, -61496, 0, 0, 0, -40064, 0, 0, 0, 912, 0, 0, 0, -24792, 0, 0, 0, -33296, 0, 0, 0, 0, 0, 0, 0, -55248, 0, 0, 0, 18432, 0, 0, 0, -8328, 0, 0, 0, 104464, 0, 0, 0, 61680, 0, 0, 0, -12576, 0, 0, 0, 0, 0, 0, 0, 145008, 0, 0, 0, 12024, 0, 0, 0, 31248, 0, 0, 0, 51104, 0, 0, 0, 0, 0, 0, 0, 44944, 0, 0, 0, 0, 0, 0, 0, 10152, 0, 0, 0, -112112, 0, 0, 0, 12768, 0, 0, 0, 14112, 0, 0, 0, 48024, 0, 0, 0, -80000, 0, 0, 0, 0, 0, 0, 0, -64512, 0, 0, 0, 21296, 0, 0, 0, -18432, 0, 0, 0, -20288, 0, 0, 0, 2400, 0, 0, 0, -1512, 0, 0, 0, 0, 0, 0, 0, -132912, 0, 0, 0, 67944, 0, 0, 0, -29904, 0, 0, 0, 66208, 0, 0, 0, -72144, 0, 0, 0, 40264, 0, 0, 0, 0, 0, 0, 0, 10800, 0, 0, 0, 137656, 0, 0, 0, 147216, 0, 0, 0, -1056, 0, 0, 0, 171792, 0, 0, 0, 130560, 0, 0, 0, 0, 0, 0, 0, 103536, 0, 0, 0, -75328, 0, 0, 0, 5040, 0, 0, 0, -181264, 0, 0, 0, -96768, 0, 0, 0, 49728, 0, 0, 0, 0, 0, 0, 0, -435360, 0, 0, 0, -66504, 0, 0, 0, -99936, 0, 0, 0, -112960, 0, 0, 0, 0, 0, 0, 0, -129680, 0, 0, 0, 0, 0, 0, 0, -29664, 0, 0, 0, 154920, 0, 0, 0, -89216, 0, 0, 0, 16320, 0, 0, 0, -84600, 0, 0, 0, 105552, 0, 0, 0, 0, 0, 0, 0, 266088, 0, 0, 0, 124944, 0, 0, 0, 38640, 0, 0, 0, -31648, 0, 0, 0, -41856, 0, 0, 0, -16680, 0, 0, 0, 0, 0, 0, 0, 419328, 0, 0, 0, -66384, 0, 0, 0, 155104, 0, 0, 0, 143328, 0, 0, 0, 96336, 0, 0, 0, -58560, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -220184, 0, 0, 0, -222784, 0, 0, 0, 69984, 0, 0, 0, -209688, 0, 0, 0, -168400, 0, 0, 0, 0, 0, 0, 0, -184272, 0, 0, 0, 46768, 0, 0, 0, -44952, 0, 0, 0, -130048, 0, 0, 0, -70176, 0, 0, 0, 9504, 0, 0, 0, 0, 0, 0, 0, 387216, 0, 0, 0, 54648, 0, 0, 0, 158000, 0, 0, 0, 197376, 0, 0, 0, 216864, 0, 0, 0, -74720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -229456, 0, 0, 0, 222976, 0, 0, 0, -12192, 0, 0, 0, 56088, 0, 0, 0, -4512, 0, 0, 0, 0, 0, 0, 0, -496152, 0, 0, 0, -231792, 0, 0, 0, -24840, 0, 0, 0, 87440, 0, 0, 0, 220992, 0, 0, 0, 21816, 0, 0, 0, 0, 0, 0, 0, -229872, 0, 0, 0, 137232, 0, 0, 0, -305440, 0, 0, 0, 64800, 0, 0, 0, -60264, 0, 0, 0, 35792, 0, 0, 0, 0, 0, 0, 0, 80784, 0, 0, 0, 328048, 0, 0, 0, 242688, 0, 0, 0, -17760, 0, 0, 0, 33408, 0, 0, 0, 175104, 0, 0, 0, 0, 0, 0, 0, 339480, 0, 0, 0, -406256, 0, 0, 0, 34056, 0, 0, 0, -64560, 0, 0, 0, 129456, 0, 0, 0, -19488, 0, 0, 0, 0, 0, 0, 0, -298416, 0, 0, 0, -30672, 0, 0, 0, -219752, 0, 0, 0, -206336, 0, 0, 0, -132624, 0, 0, 0, 33760, 0, 0, 0, 0, 0, 0, 0, -92880, 0, 0, 0, 365400, 0, 0, 0, -316960, 0, 0, 0, -17712, 0, 0, 0, -490608, 0, 0, 0, 102640, 0, 0, 0, 0, 0, 0, 0, 236760, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 39246638
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 31, 'source_dim': 48, 'source_embedding_index': 17, 'source_hecke_orbit_code': 4506142315119264, 'source_is_minimal': True, 'source_label': '672.4.bl.b.31.17', 'source_level': 672, 'target_conrey_index': 31, 'target_dim': 48, 'target_embedding_index': 17, 'target_hecke_orbit_code': 4506142315119264, 'target_is_minimal': True, 'target_label': '672.4.bl.b.31.17', 'target_level': 672, 'twist_class_label': '672.4.bl.a.31.17', 'twist_class_level': 672, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 39246639
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 31, 'source_dim': 48, 'source_embedding_index': 17, 'source_hecke_orbit_code': 4506142315119264, 'source_is_minimal': True, 'source_label': '672.4.bl.b.31.17', 'source_level': 672, 'target_conrey_index': 31, 'target_dim': 48, 'target_embedding_index': 17, 'target_hecke_orbit_code': 2542687748768, 'target_is_minimal': True, 'target_label': '672.4.bl.a.31.17', 'target_level': 672, 'twist_class_label': '672.4.bl.a.31.17', 'twist_class_level': 672, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 39246640
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 31, 'source_dim': 48, 'source_embedding_index': 17, 'source_hecke_orbit_code': 4506142315119264, 'source_is_minimal': True, 'source_label': '672.4.bl.b.31.17', 'source_level': 672, 'target_conrey_index': 607, 'target_dim': 48, 'target_embedding_index': 17, 'target_hecke_orbit_code': 2542687748768, 'target_is_minimal': True, 'target_label': '672.4.bl.a.607.17', 'target_level': 672, 'twist_class_label': '672.4.bl.a.31.17', 'twist_class_level': 672, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 39246641
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 31, 'source_dim': 48, 'source_embedding_index': 17, 'source_hecke_orbit_code': 4506142315119264, 'source_is_minimal': True, 'source_label': '672.4.bl.b.31.17', 'source_level': 672, 'target_conrey_index': 607, 'target_dim': 48, 'target_embedding_index': 17, 'target_hecke_orbit_code': 4506142315119264, 'target_is_minimal': True, 'target_label': '672.4.bl.b.607.17', 'target_level': 672, 'twist_class_label': '672.4.bl.a.31.17', 'twist_class_level': 672, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 4}
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hecke_orbit_code 4506142315119264 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 38, 'hecke_orbit': 2, 'label': '672.4.bl.b', 'level': 672, 'portrait': 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'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 25424071
{'hecke_orbit_code': 4506142315119264, 'n': 1, 'trace_an': 48}
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id: 25424072
{'hecke_orbit_code': 4506142315119264, 'n': 2, 'trace_an': 0}
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id: 25424073
{'hecke_orbit_code': 4506142315119264, 'n': 3, 'trace_an': 72}
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id: 25424074
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