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{'Nk2': 37620, 'analytic_conductor': 75.0993031010142, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [11, 1], [19, -1]], 'atkin_lehner_string': '-++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9405, 1, [1046, 1882, 5986, 496], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 9, 'field_disc': 6664578334400, 'field_disc_factorization': [[2, 6], [5, 2], [7, 1], [595051637, 1]], 'field_poly': [-27, 8, 89, -23, -84, 23, 29, -9, -3, 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': [[2, [27, 8, -89, -23, 84, 23, -29, -9, 3, 1]], [7, [-64, 320, -408, -56, 389, -169, -56, 55, -13, 1]], [13, [-64, 448, 272, -1080, -705, 268, 125, -29, -5, 1]], [17, [-5904, -4352, 4472, 4176, -213, -892, -169, 35, 13, 1]]], 'hecke_orbit': 34, 'hecke_orbit_code': 148618787736790205, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], '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': '9405.2.a.bh', 'level': 9405, '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, 11, 19], 'level_radical': 3135, 'minimal_twist': '1045.2.a.k', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}-q^{5}+(1+\\beta _{4}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 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9405, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [15, 19, 15, 11, 15, 11, 15, 19, 23, 21, 23, 25, 22, 24, 22, 20], 'Nk2': 37620, 'analytic_conductor': 75.0993031010142, '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': [9405, 1, [1046, 1882, 5986, 496], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1425, 'dim': 300, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 13, 17], 'hecke_orbit_code': 33563837, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 12, 14, 14, 15, 15, 19, 19], 'label': '9405.2.a', 'level': 9405, '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, 11, 19], 'level_radical': 3135, 'mf_dim': 1456, 'mf_new_dim': 300, 'num_forms': 48, 'plus_dim': 138, 'prim_orbit_index': 1, 'relative_dim': 300, 'sturm_bound': 2880, 'trace_bound': 11, 'trace_display': [0, 0, -4, 0], 'traces': [300, 0, 0, 300, -4, 0, 0, -24, 0, 0, 0, 0, 0, -40, 0, 308, 0, 0, 0, -4, 0, 0, -24, 0, 300, -16, 0, 0, -16, 0, 8, -88, 0, 8, 8, 0, 0, -12, 0, 0, 8, 0, -24, 8, 0, -8, -48, 0, 340, 0, 0, 72, 16, 0, 8, -80, 0, 48, 8, 0, 40, 16, 0, 412, 8, 0, -24, -16, 0, 32, 40, 0, -16, 16, 0, 0, -8, 0, -8, -12, 0, 112, -40, 0, 8, 0, 0, 0, -40, 0, 16, 48, 0, 152, 0, 0, -40, 104, 0, 300, -120, 0, -24, 72, 0, 56, 64, 0, -8, 0, 0, 192, -48, 0, 24, 8, 0, 168, 0, 0, 300, 104, 0, 120, -4, 0, -16, -120, 0, 16, 56, 0, 8, 120, 0, 104, -64, 0, 8, 32, 0, -72, 0, 0, 8, 24, 0, 96, -8, 0, 8, -12, 0, 8, 48, 0, -24, 72, 0, 0, -40, 0, 48, -96, 0, -160, -152, 0, 220, 8, 0, -112, -136, 0, 0, 16, 0, -136, 88, 0, 48, 64, 0, 152, 8, 0, 8, 48, 0, 4, -8, 0, -112, 48, 0, 444, -168, 0, 16, -24, 0, 16, 0, 0, 72, 56, 0, -48, 0, 0, 72, 240, 0, -192, 48, 0, -120, -192, 0, 16, 8, 0, 160, -104, 0, 8, -64, 0, 8, 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mf_twists_cc • Show schema
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id: 48817316
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 5, 'source_hecke_orbit_code': 148618787736790205, 'source_is_minimal': False, 'source_label': '9405.2.a.bh.1.5', 'source_level': 9405, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 5, 'target_hecke_orbit_code': 148618787736790205, 'target_is_minimal': False, 'target_label': '9405.2.a.bh.1.5', 'target_level': 9405, 'twist_class_label': '1045.2.a.k.1.5', 'twist_class_level': 1045, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48817317
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 5, 'source_hecke_orbit_code': 148618787736790205, 'source_is_minimal': False, 'source_label': '9405.2.a.bh.1.5', 'source_level': 9405, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 5, 'target_hecke_orbit_code': 45035996307260437, 'target_is_minimal': True, 'target_label': '1045.2.a.k.1.5', 'target_level': 1045, 'twist_class_label': '1045.2.a.k.1.5', 'twist_class_level': 1045, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48817318
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 5, 'source_hecke_orbit_code': 148618787736790205, 'source_is_minimal': False, 'source_label': '9405.2.a.bh.1.5', 'source_level': 9405, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 5, 'target_hecke_orbit_code': 67553994444117097, 'target_is_minimal': False, 'target_label': '5225.2.a.p.1.5', 'target_level': 5225, 'twist_class_label': '1045.2.a.k.1.5', 'twist_class_level': 1045, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5019375
{'charpoly_factorization': [[[27, 8, -89, -23, 84, 23, -29, -9, 3, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 2}
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id: 5019376
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 148618787736790205, 'p': 3}
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id: 5019377
{'charpoly_factorization': [[[1, 1], 9]], 'hecke_orbit_code': 148618787736790205, 'p': 5}
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id: 5019378
{'charpoly_factorization': [[[-64, 320, -408, -56, 389, -169, -56, 55, -13, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 7}
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id: 5019379
{'charpoly_factorization': [[[1, 1], 9]], 'hecke_orbit_code': 148618787736790205, 'p': 11}
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id: 5019380
{'charpoly_factorization': [[[-64, 448, 272, -1080, -705, 268, 125, -29, -5, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 13}
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id: 5019381
{'charpoly_factorization': [[[-5904, -4352, 4472, 4176, -213, -892, -169, 35, 13, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 17}
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id: 5019382
{'charpoly_factorization': [[[-1, 1], 9]], 'hecke_orbit_code': 148618787736790205, 'p': 19}
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id: 5019383
{'charpoly_factorization': [[[192, -9920, -69144, -16776, 11989, 1816, -559, -72, 8, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 23}
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id: 5019384
{'charpoly_factorization': [[[1680, 5600, -15280, -9736, 2071, 1714, 1, -81, -3, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 29}
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id: 5019385
{'charpoly_factorization': [[[64, -11008, 12536, 22704, 4411, -3102, -1163, -85, 9, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 31}
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id: 5019386
{'charpoly_factorization': [[[-32192, 133888, -94808, -113328, 31775, 7089, -1038, -162, 7, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 37}
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id: 5019387
{'charpoly_factorization': [[[-1696176, -1293104, 244720, 398888, 95155, 759, -2081, -164, 9, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 41}
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id: 5019388
{'charpoly_factorization': [[[29632, 50944, -89960, 5288, 29199, -12075, 1370, 85, -23, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 43}
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id: 5019389
{'charpoly_factorization': [[[576, -7040, 6600, 6936, -2751, -2846, -407, 80, 20, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 47}
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id: 5019390
{'charpoly_factorization': [[[-768192, 128, 431576, -73080, -46727, 9650, 869, -195, -5, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 53}
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id: 5019391
{'charpoly_factorization': [[[3341760, 5815040, 3789800, 1089376, 94965, -16780, -3651, -91, 19, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 59}
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id: 5019392
{'charpoly_factorization': [[[-23824, -281632, 75608, 163272, -86361, 10728, 923, -211, -1, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 61}
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id: 5019393
{'charpoly_factorization': [[[46441456, 7369408, -4955536, -663664, 173517, 20054, -2282, -241, 10, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 67}
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id: 5019394
{'charpoly_factorization': [[[34636224, 10083584, -3178680, -1054752, 61485, 29262, -315, -298, 0, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 71}
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id: 5019395
{'charpoly_factorization': [[[-160279408, 12833472, 15843768, -1360336, -414907, 35552, 3940, -333, -12, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 73}
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id: 5019396
{'charpoly_factorization': [[[-71054080, -39344640, -1182240, 2455984, 374461, -14687, -5522, -146, 21, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 79}
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id: 5019397
{'charpoly_factorization': [[[-909504, 4450048, 1792184, -401264, -215881, -12714, 4421, 777, 47, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 83}
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id: 5019398
{'charpoly_factorization': [[[-37547280, 10574080, 5201320, -1459976, -144465, 39954, 1200, -369, -2, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 89}
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id: 5019399
{'charpoly_factorization': [[[-165140288, -43592640, 12219896, 4455848, 107509, -81062, -7970, 45, 32, 1], 1]], 'hecke_orbit_code': 148618787736790205, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 34, 'label': '9405.2.a.bh', 'level': 9405, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 69430357
{'hecke_orbit_code': 148618787736790205, 'n': 1, 'trace_an': 9}
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id: 69430358
{'hecke_orbit_code': 148618787736790205, 'n': 2, 'trace_an': -3}
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id: 69430359
{'hecke_orbit_code': 148618787736790205, 'n': 3, 'trace_an': 0}
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id: 69430360
{'hecke_orbit_code': 148618787736790205, 'n': 4, 'trace_an': 9}
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id: 69430361
{'hecke_orbit_code': 148618787736790205, 'n': 5, 'trace_an': -9}
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id: 69430362
{'hecke_orbit_code': 148618787736790205, 'n': 6, 'trace_an': 0}
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id: 69430363
{'hecke_orbit_code': 148618787736790205, 'n': 7, 'trace_an': 13}
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id: 69430364
{'hecke_orbit_code': 148618787736790205, 'n': 8, 'trace_an': -9}
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id: 69430365
{'hecke_orbit_code': 148618787736790205, 'n': 9, 'trace_an': 0}
-
id: 69430366
{'hecke_orbit_code': 148618787736790205, 'n': 10, 'trace_an': 3}
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id: 69430367
{'hecke_orbit_code': 148618787736790205, 'n': 11, 'trace_an': -9}
-
id: 69430368
{'hecke_orbit_code': 148618787736790205, 'n': 12, 'trace_an': 0}
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id: 69430369
{'hecke_orbit_code': 148618787736790205, 'n': 13, 'trace_an': 5}
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id: 69430370
{'hecke_orbit_code': 148618787736790205, 'n': 14, 'trace_an': 2}
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id: 69430371
{'hecke_orbit_code': 148618787736790205, 'n': 15, 'trace_an': 0}
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id: 69430372
{'hecke_orbit_code': 148618787736790205, 'n': 16, 'trace_an': 1}
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id: 69430373
{'hecke_orbit_code': 148618787736790205, 'n': 17, 'trace_an': -13}
-
id: 69430374
{'hecke_orbit_code': 148618787736790205, 'n': 18, 'trace_an': 0}
-
id: 69430375
{'hecke_orbit_code': 148618787736790205, 'n': 19, 'trace_an': 9}
-
id: 69430376
{'hecke_orbit_code': 148618787736790205, 'n': 20, 'trace_an': -9}
-
id: 69430377
{'hecke_orbit_code': 148618787736790205, 'n': 21, 'trace_an': 0}
-
id: 69430378
{'hecke_orbit_code': 148618787736790205, 'n': 22, 'trace_an': 3}
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id: 69430379
{'hecke_orbit_code': 148618787736790205, 'n': 23, 'trace_an': -8}
-
id: 69430380
{'hecke_orbit_code': 148618787736790205, 'n': 24, 'trace_an': 0}
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id: 69430381
{'hecke_orbit_code': 148618787736790205, 'n': 25, 'trace_an': 9}
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id: 69430382
{'hecke_orbit_code': 148618787736790205, 'n': 26, 'trace_an': -8}
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