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mf_newforms • Show schema
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{'Nk2': 1125, 'analytic_conductor': 4.651648338772994, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 6, 'char_parity': -1, 'char_values': [45, 6, [11, 37], [1, 6]], 'cm_discs': [], 'conrey_index': 11, 'dim': 32, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 549839700013, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 4, -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': '45.5.i.a', 'level': 45, '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': [3, 5], 'level_radical': 15, 'minimal_twist': '45.5.i.a', 'prim_orbit_index': 4, 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label 45.5.i.a does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'Nk2': 1125, 'analytic_conductor': 4.651648338772994, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 6, 'char_parity': -1, 'char_values': [45, 6, [11, 37], [1, 6]], 'conrey_index': 11, 'cusp_dim': 44, 'dim': 32, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 549839700013, 'hecke_orbit_dims': [32], 'label': '45.5.i', 'level': 45, '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': [3, 5], 'level_radical': 15, 'mf_dim': 52, 'mf_new_dim': 32, 'num_forms': 1, 'prim_orbit_index': 4, 'relative_dim': 16, 'sturm_bound': 30, 'trace_bound': 0, 'trace_display': [0, -8, 0, -26], 'traces': [32, 0, -8, 128, 0, 98, -26, 0, -220, 0, -738, -214, 10, 1998, -50, -1024, 0, -2504, 508, 0, -1620, 672, 1998, 4164, 2000, 0, 2158, -1664, -270, 2000, -1472, -6048, 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mf_twists_nf • Show schema
Hide schema
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id: 36129
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 32, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.5.i.a', 'source_level': 45, 'target_char_orbit': 9, 'target_dim': 32, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.5.i.a', 'target_level': 45, 'twist_class_label': '45.5.i.a', 'twist_class_level': 45, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 5}
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id: 36130
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 32, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.5.i.a', 'source_level': 45, 'target_char_orbit': 9, 'target_dim': 32, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.5.i.a', 'target_level': 45, 'twist_class_label': '45.5.i.a', 'twist_class_level': 45, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 5}
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id: 36131
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 32, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.5.i.a', 'source_level': 45, 'target_char_orbit': 9, 'target_dim': 32, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '135.5.i.a', 'target_level': 135, 'twist_class_label': '45.5.i.a', 'twist_class_level': 45, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 5}
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id: 36132
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 32, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.5.i.a', 'source_level': 45, 'target_char_orbit': 9, 'target_dim': 32, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '135.5.i.a', 'target_level': 135, 'twist_class_label': '45.5.i.a', 'twist_class_level': 45, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 5}
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id: 36133
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 32, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.5.i.a', 'source_level': 45, 'target_char_orbit': 3, 'target_dim': 32, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '405.5.c.b', 'target_level': 405, 'twist_class_label': '45.5.i.a', 'twist_class_level': 45, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 5}
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id: 36134
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 32, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.5.i.a', 'source_level': 45, 'target_char_orbit': 3, 'target_dim': 32, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '405.5.c.b', 'target_level': 405, 'twist_class_label': '45.5.i.a', 'twist_class_level': 45, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 5}
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hecke_orbit_code 549839700013 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': '45.5.i.a', 'level': 45, 'portrait': 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', 'weight': 5}
-
mf_hecke_traces • Show schema
Hide schema
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id: 10029042
{'hecke_orbit_code': 549839700013, 'n': 1, 'trace_an': 32}
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id: 10029043
{'hecke_orbit_code': 549839700013, 'n': 2, 'trace_an': 0}
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id: 10029044
{'hecke_orbit_code': 549839700013, 'n': 3, 'trace_an': -8}
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id: 10029045
{'hecke_orbit_code': 549839700013, 'n': 4, 'trace_an': 128}
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id: 10029046
{'hecke_orbit_code': 549839700013, 'n': 5, 'trace_an': 0}
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id: 10029047
{'hecke_orbit_code': 549839700013, 'n': 6, 'trace_an': 98}
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id: 10029048
{'hecke_orbit_code': 549839700013, 'n': 7, 'trace_an': -26}
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id: 10029049
{'hecke_orbit_code': 549839700013, 'n': 8, 'trace_an': 0}
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id: 10029050
{'hecke_orbit_code': 549839700013, 'n': 9, 'trace_an': -220}
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id: 10029051
{'hecke_orbit_code': 549839700013, 'n': 10, 'trace_an': 0}
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id: 10029052
{'hecke_orbit_code': 549839700013, 'n': 11, 'trace_an': -738}
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id: 10029053
{'hecke_orbit_code': 549839700013, 'n': 12, 'trace_an': -214}
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id: 10029054
{'hecke_orbit_code': 549839700013, 'n': 13, 'trace_an': 10}
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id: 10029055
{'hecke_orbit_code': 549839700013, 'n': 14, 'trace_an': 1998}
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id: 10029056
{'hecke_orbit_code': 549839700013, 'n': 15, 'trace_an': -50}
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id: 10029057
{'hecke_orbit_code': 549839700013, 'n': 16, 'trace_an': -1024}
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id: 10029058
{'hecke_orbit_code': 549839700013, 'n': 17, 'trace_an': 0}
-
id: 10029059
{'hecke_orbit_code': 549839700013, 'n': 18, 'trace_an': -2504}
-
id: 10029060
{'hecke_orbit_code': 549839700013, 'n': 19, 'trace_an': 508}
-
id: 10029061
{'hecke_orbit_code': 549839700013, 'n': 20, 'trace_an': 0}
-
id: 10029062
{'hecke_orbit_code': 549839700013, 'n': 21, 'trace_an': -1620}
-
id: 10029063
{'hecke_orbit_code': 549839700013, 'n': 22, 'trace_an': 672}
-
id: 10029064
{'hecke_orbit_code': 549839700013, 'n': 23, 'trace_an': 1998}
-
id: 10029065
{'hecke_orbit_code': 549839700013, 'n': 24, 'trace_an': 4164}
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id: 10029066
{'hecke_orbit_code': 549839700013, 'n': 25, 'trace_an': 2000}
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