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mf_newforms • Show schema
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{'Nk2': 2688, 'analytic_conductor': 9.912320880964423, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 168, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 2, 'char_parity': 1, 'char_values': [168, 2, [127, 85, 113, 73], [2, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 125, 'dim': 80, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [395329100828147712, 0, 347349051281676288, 0, 82397884120202752, 0, 6978739579684864, 0, 246895591977664, 0, 4358828758336, 0, 42479046160, 0, 239880544, 0, 782932, 0, 1372, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007749077663912, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 7, 2, -1, 2, 0], [1, 1, 8, 2, 1, 2, 0], [1, 1, 21, 3, 1, 2, 0], [1, 1, 24, 8, -1, 2, 0], [1, 1, 56, 8, -1, 2, 0], [1, 1, 168, 9, 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': '168.4.i.c', 'level': 168, '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, 7], 'level_radical': 42, 'minimal_twist': '168.4.i.c', 'prim_orbit_index': 9, 'related_objects': [], 'relative_dim': 80, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '168.4.i', 'trace_display': [0, 0, 0, 64], 'traces': [80, 0, 0, 28, 0, 0, 64, 0, 104, 0, 0, 0, 0, 0, -8, -892, 0, 692, 0, 0, 0, 128, 0, 0, -976, 0, 0, 612, 0, -332, 0, 0, 0, 0, 0, 1544, 0, 0, 568, 0, 0, 780, 0, 0, 0, 208, 0, 0, -4048, 0, 0, 0, 0, 0, 0, 0, -1448, -1760, 0, 4156, 0, 0, -2152, 2764, 0, 0, 0, 0, 0, 1968, 0, -2740, 0, 0, 0, 0, 0, -3620, 4992, 0, 1568, 0, 0, 2484, 0, 0, 0, -2072, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3516, 0, 2568, 0, 0, -10760, -14720, 0, 0, 0, 0, 0, 9460, 0, 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label 168.4.i.c does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'Nk2': 2688, 'analytic_conductor': 9.912320880964423, 'char_conductor': 168, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 2, 'char_parity': 1, 'char_values': [168, 2, [127, 85, 113, 73], [2, 1, 1, 1]], 'conrey_index': 125, 'cusp_dim': 92, 'dim': 92, 'eis_dim': 8, 'eis_new_dim': 8, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 549822922920, 'hecke_orbit_dims': [4, 8, 80], 'label': '168.4.i', 'level': 168, '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, 7], 'level_radical': 42, 'mf_dim': 100, 'mf_new_dim': 100, 'num_forms': 3, 'prim_orbit_index': 9, 'relative_dim': 92, 'sturm_bound': 128, 'trace_bound': 1, 'trace_display': [0, 0, 0, -4], 'traces': [92, 0, 0, -4, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 104, -124, 0, 84, 0, 0, 0, 192, 0, 0, -1908, 0, 0, 68, 0, 500, 0, 0, 0, 0, 0, 680, 0, 0, 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0, 0, 50736, 0, 298968, 0, 0, 0, -544552, 0, 0, 123784, 0, 0, 85696, 0, 75908, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 140338
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 80, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '168.4.i.c', 'source_level': 168, 'target_char_orbit': 9, 'target_dim': 80, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '168.4.i.c', 'target_level': 168, 'twist_class_label': '168.4.i.c', 'twist_class_level': 168, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 140339
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 80, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '168.4.i.c', 'source_level': 168, 'target_char_orbit': 9, 'target_dim': 80, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '168.4.i.c', 'target_level': 168, 'twist_class_label': '168.4.i.c', 'twist_class_level': 168, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 140340
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 80, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '168.4.i.c', 'source_level': 168, 'target_char_orbit': 9, 'target_dim': 80, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '168.4.i.c', 'target_level': 168, 'twist_class_label': '168.4.i.c', 'twist_class_level': 168, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 140341
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 80, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '168.4.i.c', 'source_level': 168, 'target_char_orbit': 9, 'target_dim': 80, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '168.4.i.c', 'target_level': 168, 'twist_class_label': '168.4.i.c', 'twist_class_level': 168, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 140342
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 80, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '168.4.i.c', 'source_level': 168, 'target_char_orbit': 9, 'target_dim': 80, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '168.4.i.c', 'target_level': 168, 'twist_class_label': '168.4.i.c', 'twist_class_level': 168, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 140343
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 80, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '168.4.i.c', 'source_level': 168, 'target_char_orbit': 9, 'target_dim': 80, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '168.4.i.c', 'target_level': 168, 'twist_class_label': '168.4.i.c', 'twist_class_level': 168, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 140344
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 80, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '168.4.i.c', 'source_level': 168, 'target_char_orbit': 9, 'target_dim': 80, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '168.4.i.c', 'target_level': 168, 'twist_class_label': '168.4.i.c', 'twist_class_level': 168, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 140345
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 80, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '168.4.i.c', 'source_level': 168, 'target_char_orbit': 9, 'target_dim': 80, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '168.4.i.c', 'target_level': 168, 'twist_class_label': '168.4.i.c', 'twist_class_level': 168, 'twisting_char_label': '168.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 140346
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 80, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '168.4.i.c', 'source_level': 168, 'target_char_orbit': 9, 'target_dim': 80, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '672.4.i.c', 'target_level': 672, 'twist_class_label': '168.4.i.c', 'twist_class_level': 168, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 140347
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 80, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '168.4.i.c', 'source_level': 168, 'target_char_orbit': 9, 'target_dim': 80, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '672.4.i.c', 'target_level': 672, 'twist_class_label': '168.4.i.c', 'twist_class_level': 168, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 140348
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 80, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '168.4.i.c', 'source_level': 168, 'target_char_orbit': 9, 'target_dim': 80, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '672.4.i.c', 'target_level': 672, 'twist_class_label': '168.4.i.c', 'twist_class_level': 168, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 140349
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 80, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '168.4.i.c', 'source_level': 168, 'target_char_orbit': 9, 'target_dim': 80, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '672.4.i.c', 'target_level': 672, 'twist_class_label': '168.4.i.c', 'twist_class_level': 168, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 140350
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 80, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '168.4.i.c', 'source_level': 168, 'target_char_orbit': 9, 'target_dim': 80, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '672.4.i.c', 'target_level': 672, 'twist_class_label': '168.4.i.c', 'twist_class_level': 168, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 140351
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 80, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '168.4.i.c', 'source_level': 168, 'target_char_orbit': 9, 'target_dim': 80, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '672.4.i.c', 'target_level': 672, 'twist_class_label': '168.4.i.c', 'twist_class_level': 168, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 140352
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 80, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '168.4.i.c', 'source_level': 168, 'target_char_orbit': 9, 'target_dim': 80, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '672.4.i.c', 'target_level': 672, 'twist_class_label': '168.4.i.c', 'twist_class_level': 168, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 140353
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 80, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '168.4.i.c', 'source_level': 168, 'target_char_orbit': 9, 'target_dim': 80, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '672.4.i.c', 'target_level': 672, 'twist_class_label': '168.4.i.c', 'twist_class_level': 168, 'twisting_char_label': '168.e', 'twisting_char_orbit': 5, 'weight': 4}
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hecke_orbit_code 9007749077663912 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 3, 'label': '168.4.i.c', 'level': 168, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 31230103
{'hecke_orbit_code': 9007749077663912, 'n': 1, 'trace_an': 80}
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id: 31230104
{'hecke_orbit_code': 9007749077663912, 'n': 2, 'trace_an': 0}
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id: 31230105
{'hecke_orbit_code': 9007749077663912, 'n': 3, 'trace_an': 0}
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id: 31230106
{'hecke_orbit_code': 9007749077663912, 'n': 4, 'trace_an': 28}
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