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mf_newforms • Show schema
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{'Nk2': 816, 'analytic_conductor': 3.0090974102927714, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 51, 'char_degree': 8, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 16, 'char_parity': 1, 'char_values': [51, 16, [35, 37], [8, 5]], 'cm_discs': [], 'conrey_index': 5, 'dim': 128, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 549822922803, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 17, 5, -1, 16, 0], [1, 1, 51, 9, 1, 16, 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': '51.4.i.a', 'level': 51, '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': True, 'level_primes': [3, 17], 'level_radical': 51, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 816, 'analytic_conductor': 3.0090974102927714, 'char_conductor': 51, 'char_degree': 8, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 16, 'char_parity': 1, 'char_values': [51, 16, [35, 37], [8, 5]], 'conrey_index': 5, 'cusp_dim': 128, 'dim': 128, 'eis_dim': 32, 'eis_new_dim': 32, 'hecke_cutter_primes': [], 'hecke_orbit_code': 549822922803, 'hecke_orbit_dims': [128], 'label': '51.4.i', 'level': 51, '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': True, 'level_primes': [3, 17], 'level_radical': 51, 'mf_dim': 160, 'mf_new_dim': 160, 'num_forms': 1, 'prim_orbit_index': 9, 'relative_dim': 16, 'sturm_bound': 24, 'trace_bound': 0, 'trace_display': [0, -8, 0, -16], 'traces': [128, 0, -8, -16, 0, -8, -16, 0, -8, -16, 0, 88, -16, 0, -344, 0, 0, -464, -16, 0, 88, -16, 0, 952, 1232, 0, -8, -160, 0, -8, -880, 0, 0, -3712, 0, 56, -688, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 6804465
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 128, 'source_embedding_index': 11, 'source_hecke_orbit_code': 549822922803, 'source_is_minimal': True, 'source_label': '51.4.i.a.5.11', 'source_level': 51, 'target_conrey_index': 5, 'target_dim': 128, 'target_embedding_index': 11, 'target_hecke_orbit_code': 549822922803, 'target_is_minimal': True, 'target_label': '51.4.i.a.5.11', 'target_level': 51, 'twist_class_label': '51.4.i.a.5.6', 'twist_class_level': 51, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 6804466
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 128, 'source_embedding_index': 11, 'source_hecke_orbit_code': 549822922803, 'source_is_minimal': True, 'source_label': '51.4.i.a.5.11', 'source_level': 51, 'target_conrey_index': 5, 'target_dim': 128, 'target_embedding_index': 6, 'target_hecke_orbit_code': 549822922803, 'target_is_minimal': True, 'target_label': '51.4.i.a.5.6', 'target_level': 51, 'twist_class_label': '51.4.i.a.5.6', 'twist_class_level': 51, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 6804467
{'conductor': 17, 'degree': 8, 'order': 16, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 128, 'source_embedding_index': 11, 'source_hecke_orbit_code': 549822922803, 'source_is_minimal': True, 'source_label': '51.4.i.a.5.11', 'source_level': 51, 'target_conrey_index': 41, 'target_dim': 128, 'target_embedding_index': 6, 'target_hecke_orbit_code': 549822922803, 'target_is_minimal': True, 'target_label': '51.4.i.a.41.6', 'target_level': 51, 'twist_class_label': '51.4.i.a.5.6', 'twist_class_level': 51, 'twisting_char_label': '17.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 6804468
{'conductor': 51, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 128, 'source_embedding_index': 11, 'source_hecke_orbit_code': 549822922803, 'source_is_minimal': True, 'source_label': '51.4.i.a.5.11', 'source_level': 51, 'target_conrey_index': 41, 'target_dim': 128, 'target_embedding_index': 11, 'target_hecke_orbit_code': 549822922803, 'target_is_minimal': True, 'target_label': '51.4.i.a.41.11', 'target_level': 51, 'twist_class_label': '51.4.i.a.5.6', 'twist_class_level': 51, 'twisting_char_label': '51.41', 'twisting_conrey_index': 41, 'weight': 4}
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hecke_orbit_code 549822922803 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 1, 'label': '51.4.i.a', 'level': 51, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 9986988
{'hecke_orbit_code': 549822922803, 'n': 1, 'trace_an': 128}
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id: 9986989
{'hecke_orbit_code': 549822922803, 'n': 2, 'trace_an': 0}
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id: 9986990
{'hecke_orbit_code': 549822922803, 'n': 3, 'trace_an': -8}
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id: 9986991
{'hecke_orbit_code': 549822922803, 'n': 4, 'trace_an': -16}
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id: 9986992
{'hecke_orbit_code': 549822922803, 'n': 5, 'trace_an': 0}
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id: 9986993
{'hecke_orbit_code': 549822922803, 'n': 6, 'trace_an': -8}
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id: 9986994
{'hecke_orbit_code': 549822922803, 'n': 7, 'trace_an': -16}
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id: 9986995
{'hecke_orbit_code': 549822922803, 'n': 8, 'trace_an': 0}
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id: 9986996
{'hecke_orbit_code': 549822922803, 'n': 9, 'trace_an': -8}
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id: 9986997
{'hecke_orbit_code': 549822922803, 'n': 10, 'trace_an': -16}
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id: 9986998
{'hecke_orbit_code': 549822922803, 'n': 11, 'trace_an': 0}
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id: 9986999
{'hecke_orbit_code': 549822922803, 'n': 12, 'trace_an': 88}
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id: 9987000
{'hecke_orbit_code': 549822922803, 'n': 13, 'trace_an': -16}
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id: 9987001
{'hecke_orbit_code': 549822922803, 'n': 14, 'trace_an': 0}
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id: 9987002
{'hecke_orbit_code': 549822922803, 'n': 15, 'trace_an': -344}
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id: 9987003
{'hecke_orbit_code': 549822922803, 'n': 16, 'trace_an': 0}
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id: 9987004
{'hecke_orbit_code': 549822922803, 'n': 17, 'trace_an': 0}
-
id: 9987005
{'hecke_orbit_code': 549822922803, 'n': 18, 'trace_an': -464}
-
id: 9987006
{'hecke_orbit_code': 549822922803, 'n': 19, 'trace_an': -16}
-
id: 9987007
{'hecke_orbit_code': 549822922803, 'n': 20, 'trace_an': 0}
-
id: 9987008
{'hecke_orbit_code': 549822922803, 'n': 21, 'trace_an': 88}
-
id: 9987009
{'hecke_orbit_code': 549822922803, 'n': 22, 'trace_an': -16}
-
id: 9987010
{'hecke_orbit_code': 549822922803, 'n': 23, 'trace_an': 0}
-
id: 9987011
{'hecke_orbit_code': 549822922803, 'n': 24, 'trace_an': 952}
-
id: 9987012
{'hecke_orbit_code': 549822922803, 'n': 25, 'trace_an': 1232}
-
id: 9987013
{'hecke_orbit_code': 549822922803, 'n': 26, 'trace_an': 0}
-
id: 9987014
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{'hecke_orbit_code': 549822922803, 'n': 841, 'trace_an': -12688}
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id: 9987223
{'hecke_orbit_code': 549822922803, 'n': 853, 'trace_an': -34192}
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id: 9987224
{'hecke_orbit_code': 549822922803, 'n': 857, 'trace_an': 0}
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id: 9987225
{'hecke_orbit_code': 549822922803, 'n': 859, 'trace_an': -162304}
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id: 9987226
{'hecke_orbit_code': 549822922803, 'n': 863, 'trace_an': 0}
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id: 9987227
{'hecke_orbit_code': 549822922803, 'n': 877, 'trace_an': -217360}
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id: 9987228
{'hecke_orbit_code': 549822922803, 'n': 881, 'trace_an': 0}
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id: 9987229
{'hecke_orbit_code': 549822922803, 'n': 883, 'trace_an': 0}
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id: 9987230
{'hecke_orbit_code': 549822922803, 'n': 887, 'trace_an': 0}
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id: 9987231
{'hecke_orbit_code': 549822922803, 'n': 907, 'trace_an': 854144}
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id: 9987232
{'hecke_orbit_code': 549822922803, 'n': 911, 'trace_an': 0}
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id: 9987233
{'hecke_orbit_code': 549822922803, 'n': 919, 'trace_an': -103904}
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id: 9987234
{'hecke_orbit_code': 549822922803, 'n': 929, 'trace_an': 0}
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id: 9987235
{'hecke_orbit_code': 549822922803, 'n': 937, 'trace_an': -38992}
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id: 9987236
{'hecke_orbit_code': 549822922803, 'n': 941, 'trace_an': 0}
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id: 9987237
{'hecke_orbit_code': 549822922803, 'n': 947, 'trace_an': 0}
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id: 9987238
{'hecke_orbit_code': 549822922803, 'n': 953, 'trace_an': 0}
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id: 9987239
{'hecke_orbit_code': 549822922803, 'n': 961, 'trace_an': -1048432}
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id: 9987240
{'hecke_orbit_code': 549822922803, 'n': 967, 'trace_an': -717040}
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id: 9987241
{'hecke_orbit_code': 549822922803, 'n': 971, 'trace_an': 0}
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id: 9987242
{'hecke_orbit_code': 549822922803, 'n': 977, 'trace_an': 0}
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id: 9987243
{'hecke_orbit_code': 549822922803, 'n': 983, 'trace_an': 0}
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id: 9987244
{'hecke_orbit_code': 549822922803, 'n': 991, 'trace_an': 279920}
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id: 9987245
{'hecke_orbit_code': 549822922803, 'n': 997, 'trace_an': 681008}