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{'Nk2': 34496, 'analytic_conductor': 68.8629867031522, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, 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': [8624, 1, [5391, 6469, 7745, 3137], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [-2, 0, 1]], [5, [-18, 0, 1]], [13, [0, 1]], [17, [-32, 0, 1]]], 'hecke_orbit': 45, 'hecke_orbit_code': 198158383637864880, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8624.2.a.bs', 'level': 8624, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 11], 'level_radical': 154, 'minimal_twist': '1078.2.a.u', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{3}-3\\beta q^{5}-q^{9}+q^{11}-6q^{15}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8624.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1391582332357324947, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.929', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.069', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.024', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.534', 'prec': 17}, {'__RealLiteral__': 0, 'data': '146.795', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.514', 'prec': 17}, 'traces': [2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -12, 0, 26, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -32, 0, -10, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -32, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 32, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 48, 0, -36, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -20, 0, -8, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 20, 0, -12, 0, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, 4, 0, -24, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -32, 0, -12, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, -96, 0, 12, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, 28, 0, -36, 0, 0, 0, 24, 0, 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mf_hecke_nf • Show schema
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'label': '8624.2.a.bs', 'level': 8624, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [7, -1], [11, 1]], 30, 11], [[[2, -1], [7, -1], [11, -1]], 27, 16], [[[2, 1], [7, 1], [11, 1]], 20, 7], [[[2, 1], [7, -1], [11, -1]], 21, 12], [[[2, -1], [7, -1], [11, 1]], 27, 14], [[[2, -1], [7, 1], [11, 1]], 24, 7], [[[2, 1], [7, 1], [11, -1]], 32, 6], [[[2, -1], [7, 1], [11, -1]], 24, 12]], 'ALdims': [20, 32, 30, 21, 24, 24, 27, 27], 'Nk2': 34496, 'analytic_conductor': 68.8629867031522, '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': [8624, 1, [5391, 6469, 7745, 3137], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1297, 'dim': 205, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13, 17], 'hecke_orbit_code': 33563056, '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, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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mf_twists_nf • Show schema
Hide schema
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id: 1398684
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8624.2.a.bs', 'source_level': 8624, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '1078.2.a.u', 'target_level': 1078, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1398685
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8624.2.a.bs', 'source_level': 8624, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '1078.2.a.u', 'target_level': 1078, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1398686
{'conductor': 28, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8624.2.a.bs', 'source_level': 8624, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1078.2.e.p', 'target_level': 1078, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1398687
{'conductor': 28, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8624.2.a.bs', 'source_level': 8624, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1078.2.e.p', 'target_level': 1078, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1398688
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8624.2.a.bs', 'source_level': 8624, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '8624.2.a.bs', 'target_level': 8624, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1398689
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8624.2.a.bs', 'source_level': 8624, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '8624.2.a.bs', 'target_level': 8624, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1398690
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8624.2.a.bs', 'source_level': 8624, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 68, 'target_is_minimal': False, 'target_label': '9702.2.a.cp', 'target_level': 9702, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1398691
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8624.2.a.bs', 'source_level': 8624, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 68, 'target_is_minimal': False, 'target_label': '9702.2.a.cp', 'target_level': 9702, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4791475
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 198158383637864880, 'p': 2}
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id: 4791476
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 198158383637864880, 'p': 3}
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id: 4791477
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 198158383637864880, 'p': 5}
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id: 4791478
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 198158383637864880, 'p': 7}
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id: 4791479
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 198158383637864880, 'p': 11}
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id: 4791480
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 198158383637864880, 'p': 13}
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id: 4791481
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 198158383637864880, 'p': 17}
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id: 4791482
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 198158383637864880, 'p': 19}
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id: 4791483
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 198158383637864880, 'p': 23}
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id: 4791484
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 198158383637864880, 'p': 29}
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id: 4791485
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 198158383637864880, 'p': 31}
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id: 4791486
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 198158383637864880, 'p': 37}
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id: 4791487
{'charpoly_factorization': [[[-128, 0, 1], 1]], 'hecke_orbit_code': 198158383637864880, 'p': 41}
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id: 4791488
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 198158383637864880, 'p': 43}
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id: 4791489
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 198158383637864880, 'p': 47}
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id: 4791490
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 198158383637864880, 'p': 53}
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id: 4791491
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 198158383637864880, 'p': 59}
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id: 4791492
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 198158383637864880, 'p': 61}
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id: 4791493
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 198158383637864880, 'p': 67}
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id: 4791494
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 198158383637864880, 'p': 71}
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id: 4791495
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 198158383637864880, 'p': 73}
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id: 4791496
{'charpoly_factorization': [[[16, 1], 2]], 'hecke_orbit_code': 198158383637864880, 'p': 79}
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id: 4791497
{'charpoly_factorization': [[[-288, 0, 1], 1]], 'hecke_orbit_code': 198158383637864880, 'p': 83}
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id: 4791498
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 198158383637864880, 'p': 89}
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id: 4791499
{'charpoly_factorization': [[[-98, 0, 1], 1]], 'hecke_orbit_code': 198158383637864880, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 45, 'label': '8624.2.a.bs', 'level': 8624, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 275601000
{'hecke_orbit_code': 198158383637864880, 'n': 1, 'trace_an': 2}
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id: 275601001
{'hecke_orbit_code': 198158383637864880, 'n': 2, 'trace_an': 0}
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id: 275601002
{'hecke_orbit_code': 198158383637864880, 'n': 3, 'trace_an': 0}
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id: 275601003
{'hecke_orbit_code': 198158383637864880, 'n': 4, 'trace_an': 0}
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id: 275601004
{'hecke_orbit_code': 198158383637864880, 'n': 5, 'trace_an': 0}
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id: 275601005
{'hecke_orbit_code': 198158383637864880, 'n': 6, 'trace_an': 0}
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id: 275601006
{'hecke_orbit_code': 198158383637864880, 'n': 7, 'trace_an': 0}
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id: 275601007
{'hecke_orbit_code': 198158383637864880, 'n': 8, 'trace_an': 0}
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id: 275601008
{'hecke_orbit_code': 198158383637864880, 'n': 9, 'trace_an': -2}
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id: 275601009
{'hecke_orbit_code': 198158383637864880, 'n': 10, 'trace_an': 0}
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id: 275601010
{'hecke_orbit_code': 198158383637864880, 'n': 11, 'trace_an': 2}
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id: 275601011
{'hecke_orbit_code': 198158383637864880, 'n': 12, 'trace_an': 0}
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id: 275601012
{'hecke_orbit_code': 198158383637864880, 'n': 13, 'trace_an': 0}
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id: 275601013
{'hecke_orbit_code': 198158383637864880, 'n': 14, 'trace_an': 0}
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id: 275601014
{'hecke_orbit_code': 198158383637864880, 'n': 15, 'trace_an': -12}
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