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{'Nk2': 33792, 'analytic_conductor': 124.61203393212418, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [11, -1]], 'atkin_lehner_string': '++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2112, 1, [2047, 133, 1409, 1729], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-14, 1]], [7, [32, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595968186432, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2112.4.a.l', 'level': 2112, '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, 11], 'level_radical': 66, 'minimal_twist': '33.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{3}+14q^{5}-2^{5}q^{7}+9q^{9}+11q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2112.4.a', 'trace_display': [0, -3, 14, -32], 'trace_hash': 1029324507700907364, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.996', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_newspaces • Show schema
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{'ALdims': [16, 14, 15, 17, 14, 16, 15, 13], 'Nk2': 33792, 'analytic_conductor': 124.61203393212418, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2112, 1, [2047, 133, 1409, 1729], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1128, 'dim': 120, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 67110976, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5], 'label': '2112.4.a', 'level': 2112, '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, 11], 'level_radical': 66, 'mf_dim': 1176, 'mf_new_dim': 120, 'num_forms': 58, 'plus_dim': 64, 'prim_orbit_index': 1, 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mf_twists_cc • Show schema
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id: 47358430
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595968186432, 'source_is_minimal': False, 'source_label': '2112.4.a.l.1.1', 'source_level': 2112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595968186432, 'target_is_minimal': False, 'target_label': '2112.4.a.l.1.1', 'target_level': 2112, 'twist_class_label': '33.4.a.a.1.1', 'twist_class_level': 33, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 47358431
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595968186432, 'source_is_minimal': False, 'source_label': '2112.4.a.l.1.1', 'source_level': 2112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391124002880, 'target_is_minimal': False, 'target_label': '2112.4.a.y.1.1', 'target_level': 2112, 'twist_class_label': '33.4.a.a.1.1', 'twist_class_level': 33, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 47358432
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595968186432, 'source_is_minimal': False, 'source_label': '2112.4.a.l.1.1', 'source_level': 2112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67109392, 'target_is_minimal': False, 'target_label': '528.4.a.a.1.1', 'target_level': 528, 'twist_class_label': '33.4.a.a.1.1', 'twist_class_level': 33, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 47358433
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595968186432, 'source_is_minimal': False, 'source_label': '2112.4.a.l.1.1', 'source_level': 2112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67108897, 'target_is_minimal': True, 'target_label': '33.4.a.a.1.1', 'target_level': 33, 'twist_class_label': '33.4.a.a.1.1', 'twist_class_level': 33, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 47358434
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595968186432, 'source_is_minimal': False, 'source_label': '2112.4.a.l.1.1', 'source_level': 2112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479459, 'target_is_minimal': False, 'target_label': '99.4.a.b.1.1', 'target_level': 99, 'twist_class_label': '33.4.a.a.1.1', 'twist_class_level': 33, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 47358435
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595968186432, 'source_is_minimal': False, 'source_label': '2112.4.a.l.1.1', 'source_level': 2112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392987149872, 'target_is_minimal': False, 'target_label': '1584.4.a.t.1.1', 'target_level': 1584, 'twist_class_label': '33.4.a.a.1.1', 'twist_class_level': 33, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 47358436
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595968186432, 'source_is_minimal': False, 'source_label': '2112.4.a.l.1.1', 'source_level': 2112, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137506063161, 'target_is_minimal': False, 'target_label': '825.4.c.a.199.2', 'target_level': 825, 'twist_class_label': '33.4.a.a.1.1', 'twist_class_level': 33, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 47358437
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595968186432, 'source_is_minimal': False, 'source_label': '2112.4.a.l.1.1', 'source_level': 2112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797086073657, 'target_is_minimal': False, 'target_label': '825.4.a.i.1.1', 'target_level': 825, 'twist_class_label': '33.4.a.a.1.1', 'twist_class_level': 33, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 47358438
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595968186432, 'source_is_minimal': False, 'source_label': '2112.4.a.l.1.1', 'source_level': 2112, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137506063161, 'target_is_minimal': False, 'target_label': '825.4.c.a.199.1', 'target_level': 825, 'twist_class_label': '33.4.a.a.1.1', 'twist_class_level': 33, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 4}
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id: 47358439
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595968186432, 'source_is_minimal': False, 'source_label': '2112.4.a.l.1.1', 'source_level': 2112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67110481, 'target_is_minimal': False, 'target_label': '1617.4.a.a.1.1', 'target_level': 1617, 'twist_class_label': '33.4.a.a.1.1', 'twist_class_level': 33, 'twisting_char_label': '56.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 47358440
{'conductor': 88, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595968186432, 'source_is_minimal': False, 'source_label': '2112.4.a.l.1.1', 'source_level': 2112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197458702699, 'target_is_minimal': False, 'target_label': '363.4.a.h.1.1', 'target_level': 363, 'twist_class_label': '33.4.a.a.1.1', 'twist_class_level': 33, 'twisting_char_label': '88.21', 'twisting_conrey_index': 21, 'weight': 4}
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id: 47358441
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595968186432, 'source_is_minimal': False, 'source_label': '2112.4.a.l.1.1', 'source_level': 2112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694481835, 'target_is_minimal': False, 'target_label': '2475.4.a.b.1.1', 'target_level': 2475, 'twist_class_label': '33.4.a.a.1.1', 'twist_class_level': 33, 'twisting_char_label': '120.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 47358442
{'conductor': 264, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595968186432, 'source_is_minimal': False, 'source_label': '2112.4.a.l.1.1', 'source_level': 2112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67109953, 'target_is_minimal': False, 'target_label': '1089.4.a.a.1.1', 'target_level': 1089, 'twist_class_label': '33.4.a.a.1.1', 'twist_class_level': 33, 'twisting_char_label': '264.197', 'twisting_conrey_index': 197, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2051225
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 2}
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id: 2051226
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 3}
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id: 2051227
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 5}
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id: 2051228
{'charpoly_factorization': [[[32, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 7}
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id: 2051229
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 11}
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id: 2051230
{'charpoly_factorization': [[[-38, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 13}
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id: 2051231
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 17}
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id: 2051232
{'charpoly_factorization': [[[72, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 19}
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id: 2051233
{'charpoly_factorization': [[[-68, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 23}
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id: 2051234
{'charpoly_factorization': [[[-54, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 29}
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id: 2051235
{'charpoly_factorization': [[[152, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 31}
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id: 2051236
{'charpoly_factorization': [[[174, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 37}
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id: 2051237
{'charpoly_factorization': [[[-94, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 41}
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id: 2051238
{'charpoly_factorization': [[[-528, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 43}
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id: 2051239
{'charpoly_factorization': [[[340, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 47}
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id: 2051240
{'charpoly_factorization': [[[-438, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 53}
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id: 2051241
{'charpoly_factorization': [[[20, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 59}
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id: 2051242
{'charpoly_factorization': [[[570, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 61}
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id: 2051243
{'charpoly_factorization': [[[-460, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 67}
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id: 2051244
{'charpoly_factorization': [[[1092, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 71}
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id: 2051245
{'charpoly_factorization': [[[-562, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 73}
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id: 2051246
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 79}
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id: 2051247
{'charpoly_factorization': [[[372, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 83}
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id: 2051248
{'charpoly_factorization': [[[966, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 89}
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id: 2051249
{'charpoly_factorization': [[[526, 1], 1]], 'hecke_orbit_code': 49539595968186432, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '2112.4.a.l', 'level': 2112, 'portrait': 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'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 56688253
{'hecke_orbit_code': 49539595968186432, 'n': 1, 'trace_an': 1}
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id: 56688254
{'hecke_orbit_code': 49539595968186432, 'n': 2, 'trace_an': 0}
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id: 56688255
{'hecke_orbit_code': 49539595968186432, 'n': 3, 'trace_an': -3}
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