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{'Nk2': 7424, 'analytic_conductor': 14.820234615149639, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [29, -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': [1856, 1, [639, 581, 321], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 230224, 'field_disc_factorization': [[2, 4], [14389, 1]], 'field_poly': [-2, 3, 6, -4, -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': [[3, [26, 3, -22, -4, 4, 1]], [5, [-2, 5, 28, -14, -2, 1]], [17, [-64, -128, 192, -32, -6, 1]]], 'hecke_orbit': 27, 'hecke_orbit_code': 117093590345189184, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1856.2.a.ba', 'level': 1856, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 29], 'level_radical': 58, 'minimal_twist': '928.2.a.g', 'nf_label': '5.5.230224.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{3}-\\beta _{4}q^{5}+(1+\\beta _{1}+\\beta _{3}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1856.2.a', 'trace_display': [0, -4, 2, 4], 'trace_hash': 550982100489256814, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.088', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.527', 'prec': 17}, {'__RealLiteral__': 0, 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-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [29, -1]], 11, 10], [[[2, 1], [29, -1]], 17, 9], [[[2, -1], [29, 1]], 17, 5], [[[2, 1], [29, 1]], 11, 5]], 'ALdims': [11, 17, 17, 11], 'Nk2': 7424, 'analytic_conductor': 14.820234615149639, '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': [1856, 1, [639, 581, 321], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 229, 'dim': 56, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 17], 'hecke_orbit_code': 33556288, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5, 6], 'label': '1856.2.a', 'level': 1856, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 29], 'level_radical': 58, 'mf_dim': 252, 'mf_new_dim': 56, 'num_forms': 29, 'plus_dim': 22, 'prim_orbit_index': 1, 'relative_dim': 56, 'sturm_bound': 480, 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mf_twists_cc • Show schema
Hide schema
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id: 48599671
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 117093590345189184, 'source_is_minimal': False, 'source_label': '1856.2.a.ba.1.5', 'source_level': 1856, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 117093590345189184, 'target_is_minimal': False, 'target_label': '1856.2.a.ba.1.5', 'target_level': 1856, 'twist_class_label': '928.2.a.g.1.5', 'twist_class_level': 928, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48599672
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 117093590345189184, 'source_is_minimal': False, 'source_label': '1856.2.a.ba.1.5', 'source_level': 1856, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597189972559680, 'target_is_minimal': False, 'target_label': '1856.2.a.bb.1.1', 'target_level': 1856, 'twist_class_label': '928.2.a.g.1.5', 'twist_class_level': 928, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48599673
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 117093590345189184, 'source_is_minimal': False, 'source_label': '1856.2.a.ba.1.5', 'source_level': 1856, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021597797778336, 'target_is_minimal': True, 'target_label': '928.2.a.g.1.5', 'target_level': 928, 'twist_class_label': '928.2.a.g.1.5', 'twist_class_level': 928, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48599674
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 117093590345189184, 'source_is_minimal': False, 'source_label': '1856.2.a.ba.1.5', 'source_level': 1856, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425148832, 'target_is_minimal': True, 'target_label': '928.2.a.h.1.1', 'target_level': 928, 'twist_class_label': '928.2.a.g.1.5', 'twist_class_level': 928, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48599675
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 117093590345189184, 'source_is_minimal': False, 'source_label': '1856.2.a.ba.1.5', 'source_level': 1856, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 148618787736789152, 'target_is_minimal': False, 'target_label': '8352.2.a.bh.1.3', 'target_level': 8352, 'twist_class_label': '928.2.a.g.1.5', 'twist_class_level': 928, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48599676
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 117093590345189184, 'source_is_minimal': False, 'source_label': '1856.2.a.ba.1.5', 'source_level': 1856, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 144115188109418656, 'target_is_minimal': False, 'target_label': '8352.2.a.bg.1.3', 'target_level': 8352, 'twist_class_label': '928.2.a.g.1.5', 'twist_class_level': 928, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2257450
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 117093590345189184, 'p': 2}
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id: 2257451
{'charpoly_factorization': [[[26, 3, -22, -4, 4, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 3}
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id: 2257452
{'charpoly_factorization': [[[-2, 5, 28, -14, -2, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 5}
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id: 2257453
{'charpoly_factorization': [[[-64, 48, 48, -16, -4, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 7}
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id: 2257454
{'charpoly_factorization': [[[778, -101, -186, -12, 8, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 11}
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id: 2257455
{'charpoly_factorization': [[[298, -451, 212, -22, -6, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 13}
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id: 2257456
{'charpoly_factorization': [[[-64, -128, 192, -32, -6, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 17}
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id: 2257457
{'charpoly_factorization': [[[-128, -384, -256, -32, 6, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 19}
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id: 2257458
{'charpoly_factorization': [[[128, -416, 240, -24, -8, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 23}
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id: 2257459
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 117093590345189184, 'p': 29}
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id: 2257460
{'charpoly_factorization': [[[-4358, 2743, 526, -96, -8, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 31}
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id: 2257461
{'charpoly_factorization': [[[-4096, 0, 512, -16, -14, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 37}
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id: 2257462
{'charpoly_factorization': [[[-32, 336, 112, -64, -6, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 41}
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id: 2257463
{'charpoly_factorization': [[[778, -101, -186, -12, 8, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 43}
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id: 2257464
{'charpoly_factorization': [[[1454, 399, -898, 264, -28, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 47}
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id: 2257465
{'charpoly_factorization': [[[34, -67, -12, 42, -14, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 53}
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id: 2257466
{'charpoly_factorization': [[[-128, -608, -272, 24, 16, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 59}
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id: 2257467
{'charpoly_factorization': [[[-4288, -2624, 1696, -48, -18, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 61}
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id: 2257468
{'charpoly_factorization': [[[8192, 3584, -128, -128, 0, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 67}
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id: 2257469
{'charpoly_factorization': [[[-12032, 8816, 112, -224, 4, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 71}
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id: 2257470
{'charpoly_factorization': [[[48128, 14592, -320, -256, -2, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 73}
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id: 2257471
{'charpoly_factorization': [[[-4982, 3119, -310, -104, 12, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 79}
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id: 2257472
{'charpoly_factorization': [[[6016, -5024, 16, 280, 32, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 83}
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id: 2257473
{'charpoly_factorization': [[[-18976, -6640, 784, 208, -30, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 89}
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id: 2257474
{'charpoly_factorization': [[[9952, -7920, 2096, -176, -6, 1], 1]], 'hecke_orbit_code': 117093590345189184, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 27, 'label': '1856.2.a.ba', 'level': 1856, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 260181000
{'hecke_orbit_code': 117093590345189184, 'n': 1, 'trace_an': 5}
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id: 260181001
{'hecke_orbit_code': 117093590345189184, 'n': 2, 'trace_an': 0}
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id: 260181002
{'hecke_orbit_code': 117093590345189184, 'n': 3, 'trace_an': -4}
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id: 260181003
{'hecke_orbit_code': 117093590345189184, 'n': 4, 'trace_an': 0}
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id: 260181004
{'hecke_orbit_code': 117093590345189184, 'n': 5, 'trace_an': 2}
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id: 260181005
{'hecke_orbit_code': 117093590345189184, 'n': 6, 'trace_an': 0}
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id: 260181006
{'hecke_orbit_code': 117093590345189184, 'n': 7, 'trace_an': 4}
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id: 260181007
{'hecke_orbit_code': 117093590345189184, 'n': 8, 'trace_an': 0}
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id: 260181008
{'hecke_orbit_code': 117093590345189184, 'n': 9, 'trace_an': 9}
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id: 260181009
{'hecke_orbit_code': 117093590345189184, 'n': 10, 'trace_an': 0}
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id: 260181010
{'hecke_orbit_code': 117093590345189184, 'n': 11, 'trace_an': -8}
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id: 260181011
{'hecke_orbit_code': 117093590345189184, 'n': 12, 'trace_an': 0}
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id: 260181012
{'hecke_orbit_code': 117093590345189184, 'n': 13, 'trace_an': 6}
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id: 260181013
{'hecke_orbit_code': 117093590345189184, 'n': 14, 'trace_an': 0}
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id: 260181014
{'hecke_orbit_code': 117093590345189184, 'n': 15, 'trace_an': 6}
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id: 260181015
{'hecke_orbit_code': 117093590345189184, 'n': 16, 'trace_an': 0}
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id: 260181016
{'hecke_orbit_code': 117093590345189184, 'n': 17, 'trace_an': 6}
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id: 260181017
{'hecke_orbit_code': 117093590345189184, 'n': 18, 'trace_an': 0}
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