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{'Nk2': 7524, 'analytic_conductor': 15.01986062020284, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -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': [1881, 1, [1046, 343, 496], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 246832, 'field_disc_factorization': [[2, 4], [15427, 1]], 'field_poly': [-2, 7, 6, -5, -2, 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, [4, 5, -10, -6, 2, 1]], [5, [-19, -9, 33, -3, -5, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307261273, 'hecke_ring_generator_nbound': 5, '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': '1881.2.a.k', 'level': 1881, '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, 11, 19], 'level_radical': 627, 'minimal_twist': '209.2.a.c', 'nf_label': '5.5.246832.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{2}q^{2}+(\\beta _{1}+\\beta _{2}+\\beta _{3}+\\beta _{4})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1881.2.a', 'trace_display': [-2, 0, 5, 6], 'trace_hash': 1134380696898048248, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, {'__RealLiteral__': 0, 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'embedding_root_imag': 0.0, 'embedding_root_real': -1.5190812276534267, 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307261273, 'label': '1881.2.a.k.1.2', 'level': 1881, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [7, 7, 7, 7, 13, 8, 10, 15], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [16, 29, 25, 19, 18, 19, 21, 12], 'Nk2': 7524, 'analytic_conductor': 15.01986062020284, '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': [1881, 1, [1046, 343, 496], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 233, 'dim': 74, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33556313, 'hecke_orbit_dims': [1, 1, 1, 2, 3, 3, 3, 3, 3, 4, 5, 5, 5, 7, 7, 7, 7, 7], 'label': '1881.2.a', 'level': 1881, '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, 11, 19], 'level_radical': 627, 'mf_dim': 248, 'mf_new_dim': 74, 'num_forms': 18, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 74, 'sturm_bound': 480, 'trace_bound': 5, 'trace_display': [-2, 0, -2, 0], 'traces': [74, -2, 0, 72, -2, 0, 0, 6, 0, -4, 4, 0, -8, 20, 0, 60, -16, 0, 0, -8, 0, 0, 14, 0, 48, 4, 0, 32, 0, 0, -14, 70, 0, 12, 16, 0, -14, 6, 0, 60, -28, 0, 12, 2, 0, 32, 32, 0, 30, 26, 0, -52, -12, 0, -14, 4, 0, -12, -18, 0, -52, -20, 0, -4, -44, 0, 22, 24, 0, 20, -26, 0, -8, -36, 0, 0, 4, 0, 16, 28, 0, -28, 48, 0, -24, 40, 0, 0, 14, 0, 24, -52, 0, -88, 0, 0, -2, 6, 0, 64, 32, 0, 4, 4, 0, -68, 28, 0, -40, 0, 0, 40, 50, 0, 82, -36, 0, -36, 40, 0, 74, -92, 0, -108, 30, 0, 84, 54, 0, -16, -68, 0, -4, -4, 0, -36, 22, 0, 8, 40, 0, 68, 0, 0, -76, 36, 0, -148, -52, 0, -20, 6, 0, -8, 26, 0, 2, -40, 0, 60, 96, 0, 64, 4, 0, 72, 44, 0, 74, -80, 0, 128, 44, 0, 128, 6, 0, 4, -86, 0, -126, 56, 0, -56, 46, 0, 12, 80, 0, 28, 58, 0, 28, -20, 0, -44, 16, 0, -48, 122, 0, 12, -44, 0, -72, 36, 0, -12, 10, 0, 28, -104, 0, 48, -148, 0, 104, -8, 0, -40, -152, 0, -18, 100, 0, 44, 88, 0, -98, -72, 0, 20, -92, 0, 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94, 0, -256, -84, 0, 118, 48, 0, -52, 184, 0, -92, 272, 0, -212, -408, 0, 316, 6, 0, 64, 274, 0, 232, 212, 0, 144, 18, 0, -34, -284, 0, -348, -338, 0, -208, -192, 0, -72, 124, 0, -8, -76, 0, 368, -40, 0, 8, -48, 0, 16], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47048213
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45035996307261273, 'source_is_minimal': False, 'source_label': '1881.2.a.k.1.2', 'source_level': 1881, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45035996307261273, 'target_is_minimal': False, 'target_label': '1881.2.a.k.1.2', 'target_level': 1881, 'twist_class_label': '209.2.a.c.1.4', 'twist_class_level': 209, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47048214
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45035996307261273, 'source_is_minimal': False, 'source_label': '1881.2.a.k.1.2', 'source_level': 1881, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007199288295633, 'target_is_minimal': True, 'target_label': '209.2.a.c.1.4', 'target_level': 209, 'twist_class_label': '209.2.a.c.1.4', 'twist_class_level': 209, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47048215
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45035996307261273, 'source_is_minimal': False, 'source_label': '1881.2.a.k.1.2', 'source_level': 1881, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 85568392953597200, 'target_is_minimal': False, 'target_label': '3344.2.a.t.1.4', 'target_level': 3344, 'twist_class_label': '209.2.a.c.1.4', 'twist_class_level': 209, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47048216
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45035996307261273, 'source_is_minimal': False, 'source_label': '1881.2.a.k.1.2', 'source_level': 1881, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197425153129, 'target_is_minimal': False, 'target_label': '5225.2.a.h.1.2', 'target_level': 5225, 'twist_class_label': '209.2.a.c.1.4', 'twist_class_level': 209, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 47048217
{'conductor': 33, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45035996307261273, 'source_is_minimal': False, 'source_label': '1881.2.a.k.1.2', 'source_level': 1881, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189373179, 'target_is_minimal': False, 'target_label': '2299.2.a.n.1.2', 'target_level': 2299, 'twist_class_label': '209.2.a.c.1.4', 'twist_class_level': 209, 'twisting_char_label': '33.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 47048218
{'conductor': 57, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45035996307261273, 'source_is_minimal': False, 'source_label': '1881.2.a.k.1.2', 'source_level': 1881, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197425151875, 'target_is_minimal': False, 'target_label': '3971.2.a.h.1.2', 'target_level': 3971, 'twist_class_label': '209.2.a.c.1.4', 'twist_class_level': 209, 'twisting_char_label': '57.56', 'twisting_conrey_index': 56, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2275350
{'charpoly_factorization': [[[4, 5, -10, -6, 2, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 2}
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id: 2275351
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 45035996307261273, 'p': 3}
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id: 2275352
{'charpoly_factorization': [[[-19, -9, 33, -3, -5, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 5}
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id: 2275353
{'charpoly_factorization': [[[64, -119, 62, -1, -6, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 7}
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id: 2275354
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 45035996307261273, 'p': 11}
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id: 2275355
{'charpoly_factorization': [[[2, 37, 26, -9, -4, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 13}
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id: 2275356
{'charpoly_factorization': [[[64, 304, 64, -32, -4, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 17}
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id: 2275357
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 45035996307261273, 'p': 19}
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id: 2275358
{'charpoly_factorization': [[[784, -224, -388, -76, 3, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 23}
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id: 2275359
{'charpoly_factorization': [[[-490, -1827, -656, -37, 10, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 29}
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id: 2275360
{'charpoly_factorization': [[[-757, -31, 193, -3, -11, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 31}
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id: 2275361
{'charpoly_factorization': [[[-3088, 1520, 104, -80, -1, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 37}
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id: 2275362
{'charpoly_factorization': [[[4112, 7253, -252, -189, 2, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 41}
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id: 2275363
{'charpoly_factorization': [[[11266, -9843, 1640, 23, -20, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 43}
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id: 2275364
{'charpoly_factorization': [[[-13184, -2192, 1088, 28, -20, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 47}
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id: 2275365
{'charpoly_factorization': [[[-30304, 1808, 1392, -88, -14, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 53}
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id: 2275366
{'charpoly_factorization': [[[2000, -496, -908, -164, 3, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 59}
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id: 2275367
{'charpoly_factorization': [[[-736, -1264, -464, -24, 10, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 61}
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id: 2275368
{'charpoly_factorization': [[[17689, 10633, 827, -195, -9, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 67}
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id: 2275369
{'charpoly_factorization': [[[-19081, -14485, -2929, -17, 23, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 71}
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id: 2275370
{'charpoly_factorization': [[[155392, 27728, -1168, -340, 0, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 73}
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id: 2275371
{'charpoly_factorization': [[[-36800, 24176, -6128, 748, -44, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 79}
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id: 2275372
{'charpoly_factorization': [[[3908, -4103, 1242, -69, -14, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 83}
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id: 2275373
{'charpoly_factorization': [[[-320, 1952, -1168, 268, -27, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 89}
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id: 2275374
{'charpoly_factorization': [[[-37456, 304, 2116, -124, -15, 1], 1]], 'hecke_orbit_code': 45035996307261273, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '1881.2.a.k', 'level': 1881, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 54204487
{'hecke_orbit_code': 45035996307261273, 'n': 1, 'trace_an': 5}
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id: 54204488
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