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mf_newforms • Show schema
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{'Nk2': 1404, 'analytic_conductor': 4.250692124020632, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 52, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': -1, 'char_values': [156, 2, [79, 53, 145], [1, 2, 1]], 'cm_discs': [], 'conrey_index': 103, 'dim': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [11808768, 0, 60341248, 0, 11384576, 0, 715392, 0, 19120, 0, 228, 0, 1]], [7, [2389782528, 0, -833523712, 0, 88136960, 0, -3286144, 0, 53872, 0, -392, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474182979740, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 13, 2, 1, 2, 0], [1, 1, 52, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '156.3.e.c', 'level': 156, 'level_is_powerful': False, 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mf_hecke_cc • Show schema
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'level': 156, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 1404, 'analytic_conductor': 4.250692124020632, 'char_conductor': 52, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': -1, 'char_values': [156, 2, [79, 53, 145], [1, 2, 1]], 'conrey_index': 103, 'cusp_dim': 52, 'dim': 28, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 274928238748, 'hecke_orbit_dims': [2, 2, 24], 'label': '156.3.e', 'level': 156, '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, 13], 'level_radical': 78, 'mf_dim': 60, 'mf_new_dim': 28, 'num_forms': 3, 'prim_orbit_index': 2, 'relative_dim': 28, 'sturm_bound': 84, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [28, 0, 0, 0, 0, 0, 0, 0, -84, 4, 0, 12, -4, -16, 0, 68, -40, 0, 0, 0, 0, 100, 0, 0, -260, -16, 0, 0, 40, 36, 0, 0, 0, 0, 0, 0, 0, 240, 0, -204, 0, 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0, -4640, 832, 0, 0, -10304, 0, 0, 0, 0, -13544, -10840, 0, -56], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 40846543
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 103, 'source_dim': 24, 'source_embedding_index': 13, 'source_hecke_orbit_code': 9007474182979740, 'source_is_minimal': True, 'source_label': '156.3.e.c.103.13', 'source_level': 156, 'target_conrey_index': 103, 'target_dim': 24, 'target_embedding_index': 13, 'target_hecke_orbit_code': 9007474182979740, 'target_is_minimal': True, 'target_label': '156.3.e.c.103.13', 'target_level': 156, 'twist_class_label': '156.3.e.c.103.11', 'twist_class_level': 156, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 40846544
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 103, 'source_dim': 24, 'source_embedding_index': 13, 'source_hecke_orbit_code': 9007474182979740, 'source_is_minimal': True, 'source_label': '156.3.e.c.103.13', 'source_level': 156, 'target_conrey_index': 415, 'target_dim': 24, 'target_embedding_index': 12, 'target_hecke_orbit_code': 54043470456685012, 'target_is_minimal': False, 'target_label': '468.3.e.m.415.12', 'target_level': 468, 'twist_class_label': '156.3.e.c.103.11', 'twist_class_level': 156, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 40846545
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 103, 'source_dim': 24, 'source_embedding_index': 13, 'source_hecke_orbit_code': 9007474182979740, 'source_is_minimal': True, 'source_label': '156.3.e.c.103.13', 'source_level': 156, 'target_conrey_index': 103, 'target_dim': 24, 'target_embedding_index': 11, 'target_hecke_orbit_code': 9007474182979740, 'target_is_minimal': True, 'target_label': '156.3.e.c.103.11', 'target_level': 156, 'twist_class_label': '156.3.e.c.103.11', 'twist_class_level': 156, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 40846546
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 103, 'source_dim': 24, 'source_embedding_index': 13, 'source_hecke_orbit_code': 9007474182979740, 'source_is_minimal': True, 'source_label': '156.3.e.c.103.13', 'source_level': 156, 'target_conrey_index': 415, 'target_dim': 24, 'target_embedding_index': 14, 'target_hecke_orbit_code': 54043470456685012, 'target_is_minimal': False, 'target_label': '468.3.e.m.415.14', 'target_level': 468, 'twist_class_label': '156.3.e.c.103.11', 'twist_class_level': 156, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 40846547
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 103, 'source_dim': 24, 'source_embedding_index': 13, 'source_hecke_orbit_code': 9007474182979740, 'source_is_minimal': True, 'source_label': '156.3.e.c.103.13', 'source_level': 156, 'target_conrey_index': 103, 'target_dim': 24, 'target_embedding_index': 12, 'target_hecke_orbit_code': 9007474182979740, 'target_is_minimal': True, 'target_label': '156.3.e.c.103.12', 'target_level': 156, 'twist_class_label': '156.3.e.c.103.11', 'twist_class_level': 156, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 3}
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id: 40846548
{'conductor': 39, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 103, 'source_dim': 24, 'source_embedding_index': 13, 'source_hecke_orbit_code': 9007474182979740, 'source_is_minimal': True, 'source_label': '156.3.e.c.103.13', 'source_level': 156, 'target_conrey_index': 415, 'target_dim': 24, 'target_embedding_index': 13, 'target_hecke_orbit_code': 54043470456685012, 'target_is_minimal': False, 'target_label': '468.3.e.m.415.13', 'target_level': 468, 'twist_class_label': '156.3.e.c.103.11', 'twist_class_level': 156, 'twisting_char_label': '39.38', 'twisting_conrey_index': 38, 'weight': 3}
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id: 40846549
{'conductor': 52, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 103, 'source_dim': 24, 'source_embedding_index': 13, 'source_hecke_orbit_code': 9007474182979740, 'source_is_minimal': True, 'source_label': '156.3.e.c.103.13', 'source_level': 156, 'target_conrey_index': 103, 'target_dim': 24, 'target_embedding_index': 14, 'target_hecke_orbit_code': 9007474182979740, 'target_is_minimal': True, 'target_label': '156.3.e.c.103.14', 'target_level': 156, 'twist_class_label': '156.3.e.c.103.11', 'twist_class_level': 156, 'twisting_char_label': '52.51', 'twisting_conrey_index': 51, 'weight': 3}
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id: 40846550
{'conductor': 156, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 103, 'source_dim': 24, 'source_embedding_index': 13, 'source_hecke_orbit_code': 9007474182979740, 'source_is_minimal': True, 'source_label': '156.3.e.c.103.13', 'source_level': 156, 'target_conrey_index': 415, 'target_dim': 24, 'target_embedding_index': 11, 'target_hecke_orbit_code': 54043470456685012, 'target_is_minimal': False, 'target_label': '468.3.e.m.415.11', 'target_level': 468, 'twist_class_label': '156.3.e.c.103.11', 'twist_class_level': 156, 'twisting_char_label': '156.155', 'twisting_conrey_index': 155, 'weight': 3}
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hecke_orbit_code 9007474182979740 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 3, 'label': '156.3.e.c', 'level': 156, 'portrait': 'data:image/png;base64,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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 30541759
{'hecke_orbit_code': 9007474182979740, 'n': 1, 'trace_an': 24}
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id: 30541760
{'hecke_orbit_code': 9007474182979740, 'n': 2, 'trace_an': 0}
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id: 30541761
{'hecke_orbit_code': 9007474182979740, 'n': 3, 'trace_an': 0}
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id: 30541762
{'hecke_orbit_code': 9007474182979740, 'n': 4, 'trace_an': 8}
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id: 30541763
{'hecke_orbit_code': 9007474182979740, 'n': 5, 'trace_an': 0}
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id: 30541764
{'hecke_orbit_code': 9007474182979740, 'n': 6, 'trace_an': 0}
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