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mf_newforms • Show schema
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{'Nk2': 1134, 'analytic_conductor': 3.4332513309397408, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 6, 'char_parity': -1, 'char_values': [126, 6, [29, 73], [1, 4]], 'cm_discs': [], 'conrey_index': 11, 'dim': 32, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 1168281436286, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 10, -1, 6, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '126.3.r.a', 'level': 126, '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': '126.3.i.a', 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mf_hecke_cc • Show schema
Hide schema
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'level': 126, 'weight': 3}
-
mf_newspaces • Show schema
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{'Nk2': 1134, 'analytic_conductor': 3.4332513309397408, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 6, 'char_parity': -1, 'char_values': [126, 6, [29, 73], [1, 4]], 'conrey_index': 11, 'cusp_dim': 88, 'dim': 32, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 1168281436286, 'hecke_orbit_dims': [32], 'label': '126.3.r', 'level': 126, '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': 104, 'mf_new_dim': 32, 'num_forms': 1, 'prim_orbit_index': 10, 'relative_dim': 16, 'sturm_bound': 72, 'trace_bound': 0, 'trace_display': [0, 0, 0, 2], 'traces': [32, 0, 0, -64, 0, 8, 2, 0, -20, 0, -36, 0, 10, 36, 10, 128, -54, 0, 28, 0, 28, 0, -126, -16, 80, -72, -126, -4, 36, 76, 16, 0, -40, 0, -90, 40, 22, 0, 46, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 14770195
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 23, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 1168281436286, 'source_is_minimal': True, 'source_label': '126.3.r.a.23.9', 'source_level': 126, 'target_conrey_index': 23, 'target_dim': 32, 'target_embedding_index': 9, 'target_hecke_orbit_code': 1168281436286, 'target_is_minimal': True, 'target_label': '126.3.r.a.23.9', 'target_level': 126, 'twist_class_label': '126.3.i.a.65.6', 'twist_class_level': 126, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 14770196
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 1168281436286, 'source_is_minimal': True, 'source_label': '126.3.r.a.23.9', 'source_level': 126, 'target_conrey_index': 233, 'target_dim': 32, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1168281436538, 'target_is_minimal': False, 'target_label': '378.3.r.a.233.2', 'target_level': 378, 'twist_class_label': '126.3.i.a.65.6', 'twist_class_level': 126, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 14770197
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 23, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 1168281436286, 'source_is_minimal': True, 'source_label': '126.3.r.a.23.9', 'source_level': 126, 'target_conrey_index': 95, 'target_dim': 32, 'target_embedding_index': 6, 'target_hecke_orbit_code': 549806145662, 'target_is_minimal': True, 'target_label': '126.3.i.a.95.6', 'target_level': 126, 'twist_class_label': '126.3.i.a.65.6', 'twist_class_level': 126, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 14770198
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 1168281436286, 'source_is_minimal': True, 'source_label': '126.3.r.a.23.9', 'source_level': 126, 'target_conrey_index': 65, 'target_dim': 32, 'target_embedding_index': 6, 'target_hecke_orbit_code': 549806145662, 'target_is_minimal': True, 'target_label': '126.3.i.a.65.6', 'target_level': 126, 'twist_class_label': '126.3.i.a.65.6', 'twist_class_level': 126, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 14770199
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 23, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 1168281436286, 'source_is_minimal': True, 'source_label': '126.3.r.a.23.9', 'source_level': 126, 'target_conrey_index': 359, 'target_dim': 32, 'target_embedding_index': 15, 'target_hecke_orbit_code': 549806145914, 'target_is_minimal': False, 'target_label': '378.3.i.a.359.15', 'target_level': 378, 'twist_class_label': '126.3.i.a.65.6', 'twist_class_level': 126, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 14770200
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 1168281436286, 'source_is_minimal': True, 'source_label': '126.3.r.a.23.9', 'source_level': 126, 'target_conrey_index': 179, 'target_dim': 32, 'target_embedding_index': 10, 'target_hecke_orbit_code': 549806145914, 'target_is_minimal': False, 'target_label': '378.3.i.a.179.10', 'target_level': 378, 'twist_class_label': '126.3.i.a.65.6', 'twist_class_level': 126, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 14770201
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 1168281436286, 'source_is_minimal': True, 'source_label': '126.3.r.a.23.9', 'source_level': 126, 'target_conrey_index': 11, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1168281436286, 'target_is_minimal': True, 'target_label': '126.3.r.a.11.1', 'target_level': 126, 'twist_class_label': '126.3.i.a.65.6', 'twist_class_level': 126, 'twisting_char_label': '63.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 14770202
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 23, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 1168281436286, 'source_is_minimal': True, 'source_label': '126.3.r.a.23.9', 'source_level': 126, 'target_conrey_index': 305, 'target_dim': 32, 'target_embedding_index': 10, 'target_hecke_orbit_code': 1168281436538, 'target_is_minimal': False, 'target_label': '378.3.r.a.305.10', 'target_level': 378, 'twist_class_label': '126.3.i.a.65.6', 'twist_class_level': 126, 'twisting_char_label': '63.25', 'twisting_conrey_index': 25, 'weight': 3}
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hecke_orbit_code 1168281436286 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 18, 'hecke_orbit': 1, 'label': '126.3.r.a', 'level': 126, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 12440826
{'hecke_orbit_code': 1168281436286, 'n': 1, 'trace_an': 32}
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id: 12440827
{'hecke_orbit_code': 1168281436286, 'n': 2, 'trace_an': 0}
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id: 12440828
{'hecke_orbit_code': 1168281436286, 'n': 3, 'trace_an': 0}
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id: 12440829
{'hecke_orbit_code': 1168281436286, 'n': 4, 'trace_an': -64}
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id: 12440830
{'hecke_orbit_code': 1168281436286, 'n': 5, 'trace_an': 0}
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id: 12440831
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