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mf_newforms • Show schema
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{'Nk2': 2107, 'analytic_conductor': 9.892325595653594, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 43, 'char_degree': 12, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 42, 'char_parity': -1, 'char_values': [43, 42, [3], [1]], 'cm_discs': [], 'conrey_index': 3, 'conrey_indexes': [3, 5, 12, 18, 19, 20, 26, 28, 29, 30, 33, 34], 'dim': 252, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 481153777707, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 43, 8, -1, 42, 0]], 'is_cm': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '43.7.h.a', 'level': 43, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [43], 'level_radical': 43, 'minimal_twist': '43.7.h.a', 'prim_orbit_index': 8, 'related_objects': [], 'relative_dim': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2107, 'analytic_conductor': 9.892325595653594, 'char_conductor': 43, 'char_degree': 12, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 42, 'char_parity': -1, 'char_values': [43, 42, [3], [1]], 'conrey_index': 3, 'cusp_dim': 252, 'dim': 252, 'eis_dim': 24, 'eis_new_dim': 24, 'hecke_cutter_primes': [], 'hecke_orbit_code': 481153777707, 'hecke_orbit_dims': [252], 'label': '43.7.h', 'level': 43, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [43], 'level_radical': 43, 'mf_dim': 276, 'mf_new_dim': 276, 'num_forms': 1, 'prim_orbit_index': 8, 'relative_dim': 21, 'sturm_bound': 25, 'trace_bound': 0, 'trace_display': [-14, -11, -11, 126], 'traces': [252, -14, -11, 1180, -11, -118, 126, -2254, -8178, 967, 4090, -484, 1527, 7812, -8923, -13760, -3655, 5596, 38605, 26085, 24873, -25214, 27991, -20480, -24146, -34923, -14, -77634, -112735, 375072, 290647, -344064, -152174, 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mf_twists_cc • Show schema
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id: 6156957
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 3, 'source_dim': 252, 'source_embedding_index': 7, 'source_hecke_orbit_code': 481153777707, 'source_is_minimal': True, 'source_label': '43.7.h.a.3.7', 'source_level': 43, 'target_conrey_index': 3, 'target_dim': 252, 'target_embedding_index': 7, 'target_hecke_orbit_code': 481153777707, 'target_is_minimal': True, 'target_label': '43.7.h.a.3.7', 'target_level': 43, 'twist_class_label': '43.7.h.a.3.7', 'twist_class_level': 43, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 7}
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id: 6156958
{'conductor': 43, 'degree': 12, 'order': 42, 'parity': -1, 'source_conrey_index': 3, 'source_dim': 252, 'source_embedding_index': 7, 'source_hecke_orbit_code': 481153777707, 'source_is_minimal': True, 'source_label': '43.7.h.a.3.7', 'source_level': 43, 'target_conrey_index': 29, 'target_dim': 252, 'target_embedding_index': 7, 'target_hecke_orbit_code': 481153777707, 'target_is_minimal': True, 'target_label': '43.7.h.a.29.7', 'target_level': 43, 'twist_class_label': '43.7.h.a.3.7', 'twist_class_level': 43, 'twisting_char_label': '43.29', 'twisting_conrey_index': 29, 'weight': 7}
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hecke_orbit_code 481153777707 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 8, 'hecke_orbit': 1, 'label': '43.7.h.a', 'level': 43, 'portrait': 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', 'weight': 7}
-
mf_hecke_traces • Show schema
Hide schema
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id: 37286000
{'hecke_orbit_code': 481153777707, 'n': 1, 'trace_an': 252}
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id: 37286001
{'hecke_orbit_code': 481153777707, 'n': 2, 'trace_an': -14}
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id: 37286002
{'hecke_orbit_code': 481153777707, 'n': 3, 'trace_an': -11}
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id: 37286003
{'hecke_orbit_code': 481153777707, 'n': 4, 'trace_an': 1180}
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id: 37286004
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