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mf_newforms • Show schema
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{'Nk2': 1920, 'analytic_conductor': 7.080229200688874, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 120, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 2, 'char_parity': 1, 'char_values': [120, 2, [31, 61, 41, 97], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 59, 'dim': 64, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [317032936243200000, 0, -57661282883403776, 0, 3651911524519424, 0, -91164670147584, 0, 707003826880, 0, -2379623680, 0, 3946344, 0, -3184, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504424328200312, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 8, 4, -1, 2, 0], [1, 1, 15, 4, -1, 2, 0], [1, 1, 24, 6, 1, 2, 0], [1, 1, 40, 5, -1, 2, 0], [1, 1, 120, 13, 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': '120.4.m.b', 'level': 120, '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, 5], 'level_radical': 30, 'minimal_twist': '120.4.m.b', 'prim_orbit_index': 13, 'related_objects': [], 'relative_dim': 64, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '120.4.m', 'trace_display': [0, 0, 0, 0], 'traces': [64, 0, 0, -32, 0, -72, 0, 0, -112, -72, 0, 0, 0, 0, 0, -128, 0, 0, 672, 0, 0, 0, 0, -416, 496, 0, 0, 0, 0, -248, 0, 0, 0, 240, 0, -608, 0, 0, 0, -1344, 0, 0, 0, 0, 0, 336, 0, 0, 3520, 0, -544, 0, 0, -952, 0, 0, 0, 0, 0, -2064, 0, 0, 0, 2176, 0, -176, 0, 0, 0, 672, 0, 0, 0, 0, -1600, 2304, 0, 0, 0, 0, -2304, 0, 0, -736, 0, 0, 0, 0, 0, -1432, -2752, 0, 0, 4496, 0, 640, 0, 0, 256, 2752, 0, 0, 0, 0, -992, -2224, 0, 0, 0, 0, 0, 0, 0, 11680, -7072, 0, 0, 0, 0, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1920, 'analytic_conductor': 7.080229200688874, 'char_conductor': 120, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 2, 'char_parity': 1, 'char_values': [120, 2, [31, 61, 41, 97], [1, 1, 1, 1]], 'conrey_index': 59, 'cusp_dim': 68, 'dim': 68, 'eis_dim': 8, 'eis_new_dim': 8, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 824700829816, 'hecke_orbit_dims': [4, 64], 'label': '120.4.m', 'level': 120, '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, 5], 'level_radical': 30, 'mf_dim': 76, 'mf_new_dim': 76, 'num_forms': 2, 'prim_orbit_index': 13, 'relative_dim': 68, 'sturm_bound': 96, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [68, 0, 0, -10, 0, -18, 0, 0, -4, -22, 0, 0, 0, 0, 0, -142, 0, 0, 16, 0, 0, 0, 0, -254, -4, 0, 0, 0, 0, -248, 0, 0, 0, 456, 0, -14, 0, 0, 0, -394, 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mf_twists_cc • Show schema
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id: 36574332
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 59, 'source_dim': 64, 'source_embedding_index': 16, 'source_hecke_orbit_code': 4504424328200312, 'source_is_minimal': True, 'source_label': '120.4.m.b.59.16', 'source_level': 120, 'target_conrey_index': 59, 'target_dim': 64, 'target_embedding_index': 16, 'target_hecke_orbit_code': 4504424328200312, 'target_is_minimal': True, 'target_label': '120.4.m.b.59.16', 'target_level': 120, 'twist_class_label': '120.4.m.b.59.13', 'twist_class_level': 120, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 36574333
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 59, 'source_dim': 64, 'source_embedding_index': 16, 'source_hecke_orbit_code': 4504424328200312, 'source_is_minimal': True, 'source_label': '120.4.m.b.59.16', 'source_level': 120, 'target_conrey_index': 59, 'target_dim': 64, 'target_embedding_index': 50, 'target_hecke_orbit_code': 4504424328200312, 'target_is_minimal': True, 'target_label': '120.4.m.b.59.50', 'target_level': 120, 'twist_class_label': '120.4.m.b.59.13', 'twist_class_level': 120, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 36574334
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 59, 'source_dim': 64, 'source_embedding_index': 16, 'source_hecke_orbit_code': 4504424328200312, 'source_is_minimal': True, 'source_label': '120.4.m.b.59.16', 'source_level': 120, 'target_conrey_index': 239, 'target_dim': 64, 'target_embedding_index': 30, 'target_hecke_orbit_code': 4504424328200672, 'target_is_minimal': False, 'target_label': '480.4.m.b.239.30', 'target_level': 480, 'twist_class_label': '120.4.m.b.59.13', 'twist_class_level': 120, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 36574335
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 59, 'source_dim': 64, 'source_embedding_index': 16, 'source_hecke_orbit_code': 4504424328200312, 'source_is_minimal': True, 'source_label': '120.4.m.b.59.16', 'source_level': 120, 'target_conrey_index': 59, 'target_dim': 64, 'target_embedding_index': 49, 'target_hecke_orbit_code': 4504424328200312, 'target_is_minimal': True, 'target_label': '120.4.m.b.59.49', 'target_level': 120, 'twist_class_label': '120.4.m.b.59.13', 'twist_class_level': 120, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 36574336
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 59, 'source_dim': 64, 'source_embedding_index': 16, 'source_hecke_orbit_code': 4504424328200312, 'source_is_minimal': True, 'source_label': '120.4.m.b.59.16', 'source_level': 120, 'target_conrey_index': 59, 'target_dim': 64, 'target_embedding_index': 14, 'target_hecke_orbit_code': 4504424328200312, 'target_is_minimal': True, 'target_label': '120.4.m.b.59.14', 'target_level': 120, 'twist_class_label': '120.4.m.b.59.13', 'twist_class_level': 120, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 36574337
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 59, 'source_dim': 64, 'source_embedding_index': 16, 'source_hecke_orbit_code': 4504424328200312, 'source_is_minimal': True, 'source_label': '120.4.m.b.59.16', 'source_level': 120, 'target_conrey_index': 239, 'target_dim': 64, 'target_embedding_index': 29, 'target_hecke_orbit_code': 4504424328200672, 'target_is_minimal': False, 'target_label': '480.4.m.b.239.29', 'target_level': 480, 'twist_class_label': '120.4.m.b.59.13', 'twist_class_level': 120, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 36574338
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 59, 'source_dim': 64, 'source_embedding_index': 16, 'source_hecke_orbit_code': 4504424328200312, 'source_is_minimal': True, 'source_label': '120.4.m.b.59.16', 'source_level': 120, 'target_conrey_index': 239, 'target_dim': 64, 'target_embedding_index': 33, 'target_hecke_orbit_code': 4504424328200672, 'target_is_minimal': False, 'target_label': '480.4.m.b.239.33', 'target_level': 480, 'twist_class_label': '120.4.m.b.59.13', 'twist_class_level': 120, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 36574339
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 59, 'source_dim': 64, 'source_embedding_index': 16, 'source_hecke_orbit_code': 4504424328200312, 'source_is_minimal': True, 'source_label': '120.4.m.b.59.16', 'source_level': 120, 'target_conrey_index': 59, 'target_dim': 64, 'target_embedding_index': 15, 'target_hecke_orbit_code': 4504424328200312, 'target_is_minimal': True, 'target_label': '120.4.m.b.59.15', 'target_level': 120, 'twist_class_label': '120.4.m.b.59.13', 'twist_class_level': 120, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 36574340
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 59, 'source_dim': 64, 'source_embedding_index': 16, 'source_hecke_orbit_code': 4504424328200312, 'source_is_minimal': True, 'source_label': '120.4.m.b.59.16', 'source_level': 120, 'target_conrey_index': 239, 'target_dim': 64, 'target_embedding_index': 36, 'target_hecke_orbit_code': 4504424328200672, 'target_is_minimal': False, 'target_label': '480.4.m.b.239.36', 'target_level': 480, 'twist_class_label': '120.4.m.b.59.13', 'twist_class_level': 120, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 36574341
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 59, 'source_dim': 64, 'source_embedding_index': 16, 'source_hecke_orbit_code': 4504424328200312, 'source_is_minimal': True, 'source_label': '120.4.m.b.59.16', 'source_level': 120, 'target_conrey_index': 239, 'target_dim': 64, 'target_embedding_index': 34, 'target_hecke_orbit_code': 4504424328200672, 'target_is_minimal': False, 'target_label': '480.4.m.b.239.34', 'target_level': 480, 'twist_class_label': '120.4.m.b.59.13', 'twist_class_level': 120, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 36574342
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 59, 'source_dim': 64, 'source_embedding_index': 16, 'source_hecke_orbit_code': 4504424328200312, 'source_is_minimal': True, 'source_label': '120.4.m.b.59.16', 'source_level': 120, 'target_conrey_index': 59, 'target_dim': 64, 'target_embedding_index': 52, 'target_hecke_orbit_code': 4504424328200312, 'target_is_minimal': True, 'target_label': '120.4.m.b.59.52', 'target_level': 120, 'twist_class_label': '120.4.m.b.59.13', 'twist_class_level': 120, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 36574343
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 59, 'source_dim': 64, 'source_embedding_index': 16, 'source_hecke_orbit_code': 4504424328200312, 'source_is_minimal': True, 'source_label': '120.4.m.b.59.16', 'source_level': 120, 'target_conrey_index': 59, 'target_dim': 64, 'target_embedding_index': 51, 'target_hecke_orbit_code': 4504424328200312, 'target_is_minimal': True, 'target_label': '120.4.m.b.59.51', 'target_level': 120, 'twist_class_label': '120.4.m.b.59.13', 'twist_class_level': 120, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 36574344
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 59, 'source_dim': 64, 'source_embedding_index': 16, 'source_hecke_orbit_code': 4504424328200312, 'source_is_minimal': True, 'source_label': '120.4.m.b.59.16', 'source_level': 120, 'target_conrey_index': 239, 'target_dim': 64, 'target_embedding_index': 35, 'target_hecke_orbit_code': 4504424328200672, 'target_is_minimal': False, 'target_label': '480.4.m.b.239.35', 'target_level': 480, 'twist_class_label': '120.4.m.b.59.13', 'twist_class_level': 120, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 36574345
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 59, 'source_dim': 64, 'source_embedding_index': 16, 'source_hecke_orbit_code': 4504424328200312, 'source_is_minimal': True, 'source_label': '120.4.m.b.59.16', 'source_level': 120, 'target_conrey_index': 239, 'target_dim': 64, 'target_embedding_index': 31, 'target_hecke_orbit_code': 4504424328200672, 'target_is_minimal': False, 'target_label': '480.4.m.b.239.31', 'target_level': 480, 'twist_class_label': '120.4.m.b.59.13', 'twist_class_level': 120, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 36574346
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 59, 'source_dim': 64, 'source_embedding_index': 16, 'source_hecke_orbit_code': 4504424328200312, 'source_is_minimal': True, 'source_label': '120.4.m.b.59.16', 'source_level': 120, 'target_conrey_index': 239, 'target_dim': 64, 'target_embedding_index': 32, 'target_hecke_orbit_code': 4504424328200672, 'target_is_minimal': False, 'target_label': '480.4.m.b.239.32', 'target_level': 480, 'twist_class_label': '120.4.m.b.59.13', 'twist_class_level': 120, 'twisting_char_label': '120.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 36574347
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 59, 'source_dim': 64, 'source_embedding_index': 16, 'source_hecke_orbit_code': 4504424328200312, 'source_is_minimal': True, 'source_label': '120.4.m.b.59.16', 'source_level': 120, 'target_conrey_index': 59, 'target_dim': 64, 'target_embedding_index': 13, 'target_hecke_orbit_code': 4504424328200312, 'target_is_minimal': True, 'target_label': '120.4.m.b.59.13', 'target_level': 120, 'twist_class_label': '120.4.m.b.59.13', 'twist_class_level': 120, 'twisting_char_label': '120.59', 'twisting_conrey_index': 59, 'weight': 4}
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hecke_orbit_code 4504424328200312 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 13, 'hecke_orbit': 2, 'label': '120.4.m.b', 'level': 120, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 24058219
{'hecke_orbit_code': 4504424328200312, 'n': 1, 'trace_an': 64}
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id: 24058220
{'hecke_orbit_code': 4504424328200312, 'n': 2, 'trace_an': 0}
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id: 24058221
{'hecke_orbit_code': 4504424328200312, 'n': 3, 'trace_an': 0}
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id: 24058222
{'hecke_orbit_code': 4504424328200312, 'n': 4, 'trace_an': -32}
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id: 24058223
{'hecke_orbit_code': 4504424328200312, 'n': 5, 'trace_an': 0}
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id: 24058224
{'hecke_orbit_code': 4504424328200312, 'n': 6, 'trace_an': -72}
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