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mf_newforms • Show schema
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{'Nk2': 1323, 'analytic_conductor': 6.211460257735977, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 18, 'char_parity': -1, 'char_values': [27, 18, [2], [1]], 'cm_discs': [], 'conrey_index': 2, 'dim': 102, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 343714824219, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 27, 6, -1, 18, 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': '27.7.f.a', 'level': 27, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '27.7.f.a', 'prim_orbit_index': 6, 'related_objects': [], 'relative_dim': 17, 'rm_discs': [], 'sato_tate_group': '6.2.3.c18', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '27.7.f', 'trace_display': [-6, -6, 210, -6], 'traces': [102, -6, -6, -6, 210, -342, -6, -9, 1242, -3, -492, 3549, -6, -12183, -7974, -198, -9, 40995, -3, -19767, -2406, -10806, 14466, 35352, -15990, 0, 64548, -12, -45690, -186003, 18354, -140544, -78804, -82278, 268263, 412632, -3, 28428, 126402, -34593, 234948, -466074, 148764, -1222785, -646578, -3, 517098, 1608681, -311262, 1710663, 825291, -213057, 0, -1089018, -12, -3167925, -1657317, 663789, -230802, -168786, -51414, 1777536, 1460250, 983037, 2264754, 1054197, -845052, -3979053, -3558150, -835251, -427689, -419292, -257043, 2458185, 3429390, 2759802, 5459610, 5939316, 662682, 0, -3002958, -12, -4926426, -10132716, -2530881, -6700758, -3444642, -2860230, 5907321, 5189148, -451443, 712473, -2952102, 7395807, -2179119, 809838, 272208, 1179270, 1743822, -2400003, 9651954, 10824381, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 1323, 'analytic_conductor': 6.211460257735977, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 18, 'char_parity': -1, 'char_values': [27, 18, [2], [1]], 'conrey_index': 2, 'cusp_dim': 102, 'dim': 102, 'eis_dim': 12, 'eis_new_dim': 12, 'hecke_cutter_primes': [], 'hecke_orbit_code': 343714824219, 'hecke_orbit_dims': [102], 'label': '27.7.f', 'level': 27, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 114, 'mf_new_dim': 114, 'num_forms': 1, 'prim_orbit_index': 6, 'relative_dim': 17, 'sturm_bound': 21, 'trace_bound': 0, 'trace_display': [-6, -6, 210, -6], 'traces': [102, -6, -6, -6, 210, -342, -6, -9, 1242, -3, -492, 3549, -6, -12183, -7974, -198, -9, 40995, -3, -19767, -2406, -10806, 14466, 35352, -15990, 0, 64548, -12, -45690, 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mf_twists_cc • Show schema
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id: 3699549
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 102, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343714824219, 'source_is_minimal': True, 'source_label': '27.7.f.a.5.1', 'source_level': 27, 'target_conrey_index': 5, 'target_dim': 102, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343714824219, 'target_is_minimal': True, 'target_label': '27.7.f.a.5.1', 'target_level': 27, 'twist_class_label': '27.7.f.a.5.1', 'twist_class_level': 27, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 7}
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id: 3699550
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 102, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343714824219, 'source_is_minimal': True, 'source_label': '27.7.f.a.5.1', 'source_level': 27, 'target_conrey_index': 44, 'target_dim': 102, 'target_embedding_index': 17, 'target_hecke_orbit_code': 343714824273, 'target_is_minimal': False, 'target_label': '81.7.f.a.44.17', 'target_level': 81, 'twist_class_label': '27.7.f.a.5.1', 'twist_class_level': 27, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 7}
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id: 3699551
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 102, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343714824219, 'source_is_minimal': True, 'source_label': '27.7.f.a.5.1', 'source_level': 27, 'target_conrey_index': 11, 'target_dim': 102, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343714824219, 'target_is_minimal': True, 'target_label': '27.7.f.a.11.1', 'target_level': 27, 'twist_class_label': '27.7.f.a.5.1', 'twist_class_level': 27, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 7}
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id: 3699552
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 102, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343714824219, 'source_is_minimal': True, 'source_label': '27.7.f.a.5.1', 'source_level': 27, 'target_conrey_index': 35, 'target_dim': 102, 'target_embedding_index': 17, 'target_hecke_orbit_code': 343714824273, 'target_is_minimal': False, 'target_label': '81.7.f.a.35.17', 'target_level': 81, 'twist_class_label': '27.7.f.a.5.1', 'twist_class_level': 27, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 7}
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hecke_orbit_code 343714824219 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 1, 'label': '27.7.f.a', 'level': 27, 'portrait': 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', 'weight': 7}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 8513292
{'hecke_orbit_code': 343714824219, 'n': 1, 'trace_an': 102}
-
id: 8513293
{'hecke_orbit_code': 343714824219, 'n': 2, 'trace_an': -6}
-
id: 8513294
{'hecke_orbit_code': 343714824219, 'n': 3, 'trace_an': -6}
-
id: 8513295
{'hecke_orbit_code': 343714824219, 'n': 4, 'trace_an': -6}
-
id: 8513296
{'hecke_orbit_code': 343714824219, 'n': 5, 'trace_an': 210}
-
id: 8513297
{'hecke_orbit_code': 343714824219, 'n': 6, 'trace_an': -342}
-
id: 8513298
{'hecke_orbit_code': 343714824219, 'n': 7, 'trace_an': -6}
-
id: 8513299
{'hecke_orbit_code': 343714824219, 'n': 8, 'trace_an': -9}
-
id: 8513300
{'hecke_orbit_code': 343714824219, 'n': 9, 'trace_an': 1242}
-
id: 8513301
{'hecke_orbit_code': 343714824219, 'n': 10, 'trace_an': -3}
-
id: 8513302
{'hecke_orbit_code': 343714824219, 'n': 11, 'trace_an': -492}
-
id: 8513303
{'hecke_orbit_code': 343714824219, 'n': 12, 'trace_an': 3549}
-
id: 8513304
{'hecke_orbit_code': 343714824219, 'n': 13, 'trace_an': -6}
-
id: 8513305
{'hecke_orbit_code': 343714824219, 'n': 14, 'trace_an': -12183}
-
id: 8513306
{'hecke_orbit_code': 343714824219, 'n': 15, 'trace_an': -7974}
-
id: 8513307
{'hecke_orbit_code': 343714824219, 'n': 16, 'trace_an': -198}
-
id: 8513308
{'hecke_orbit_code': 343714824219, 'n': 17, 'trace_an': -9}
-
id: 8513309
{'hecke_orbit_code': 343714824219, 'n': 18, 'trace_an': 40995}
-
id: 8513310
{'hecke_orbit_code': 343714824219, 'n': 19, 'trace_an': -3}
-
id: 8513311
{'hecke_orbit_code': 343714824219, 'n': 20, 'trace_an': -19767}
-
id: 8513312
{'hecke_orbit_code': 343714824219, 'n': 21, 'trace_an': -2406}
-
id: 8513313
{'hecke_orbit_code': 343714824219, 'n': 22, 'trace_an': -10806}
-
id: 8513314
{'hecke_orbit_code': 343714824219, 'n': 23, 'trace_an': 14466}
-
id: 8513315
{'hecke_orbit_code': 343714824219, 'n': 24, 'trace_an': 35352}
-
id: 8513316
{'hecke_orbit_code': 343714824219, 'n': 25, 'trace_an': -15990}
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id: 8513317
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