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{'Nk2': 14560, 'analytic_conductor': 29.06554633574606, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [7, -1], [13, 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': [3640, 1, [911, 1821, 1457, 521, 561], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 1101, 'field_disc_factorization': [[3, 1], [367, 1]], 'field_poly': [12, -9, -1, 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, [-12, -9, 1, 1]], [11, [0, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444115512, 'hecke_ring_generator_nbound': 3, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '3640.2.a.p', 'level': 3640, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 13], 'level_radical': 910, 'minimal_twist': '3640.2.a.p', 'nf_label': '3.3.1101.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{3}-q^{5}+q^{7}+(4-\\beta _{1}+\\beta _{2})q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3640.2.a', 'trace_display': [0, -1, -3, 3], 'trace_hash': 1176425398751167849, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.052', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.868', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.374', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '255.771', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [3, 0, -1, 0, -3, 0, 3, 0, 10, 0, 0, 0, -3, 0, 1, 0, 1, 0, -5, 0, -1, 0, 4, 0, 3, 0, 14, 0, -9, 0, 11, 0, 0, 0, -3, 0, 1, 0, 1, 0, 1, 0, -10, 0, -10, 0, 8, 0, 3, 0, 14, 0, 6, 0, 0, 0, 16, 0, 9, 0, -30, 0, 10, 0, 3, 0, 1, 0, -10, 0, 2, 0, 6, 0, -1, 0, 0, 0, 5, 0, 7, 0, -4, 0, -1, 0, -7, 0, -1, 0, -3, 0, 15, 0, 5, 0, 4, 0, 0, 0, 10, 0, -1, 0, 1, 0, 6, 0, -10, 0, 27, 0, 20, 0, -4, 0, -10, 0, 1, 0, -33, 0, 14, 0, -3, 0, 24, 0, -34, 0, 0, 0, -5, 0, -14, 0, 39, 0, -2, 0, 6, 0, 0, 0, 9, 0, -1, 0, 6, 0, 18, 0, 34, 0, -11, 0, -19, 0, -2, 0, 4, 0, 25, 0, 0, 0, -2, 0, 3, 0, 14, 0, -9, 0, 3, 0, 53, 0, 31, 0, 8, 0, 10, 0, -1, 0, 0, 0, 14, 0, 37, 0, 51, 0, -1, 0, 35, 0, 14, 0, -32, 0, -9, 0, -1, 0, 46, 0, 0, 0, 5, 0, -38, 0, 10, 0, 11, 0, 64, 0, -1, 0, 18, 0, 10, 0, 28, 0, -23, 0, 0, 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mf_hecke_nf • Show schema
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'field_poly': [12, -9, -1, 1], 'hecke_orbit_code': 67553994444115512, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [7, -1, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-7, 1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '3640.2.a.p', 'level': 3640, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [7, -1], [13, -1]], 3, 2], [[[2, 1], [5, -1], [7, 1], [13, 1]], 5, 3], [[[2, -1], [5, 1], [7, -1], [13, 1]], 5, 1], [[[2, 1], [5, -1], [7, -1], [13, -1]], 7, 1], [[[2, 1], [5, 1], [7, -1], [13, -1]], 4, 1], [[[2, -1], [5, 1], [7, 1], [13, -1]], 4, 2], [[[2, -1], [5, -1], [7, 1], [13, -1]], 6, 2], [[[2, -1], [5, 1], [7, 1], [13, 1]], 4, 1], [[[2, 1], [5, -1], [7, 1], [13, -1]], 4, 1], [[[2, 1], [5, 1], [7, 1], [13, -1]], 4, 1], [[[2, 1], [5, -1], [7, -1], [13, 1]], 3, 2], [[[2, -1], [5, 1], [7, -1], [13, -1]], 4, 1], [[[2, -1], [5, -1], [7, -1], [13, 1]], 5, 1], [[[2, 1], [5, 1], [7, 1], [13, 1]], 6, 3], [[[2, -1], [5, -1], [7, 1], [13, 1]], 3, 2], [[[2, 1], [5, 1], [7, -1], [13, 1]], 5, 3]], 'ALdims': [6, 4, 5, 4, 5, 4, 3, 7, 4, 4, 5, 4, 3, 6, 5, 3], 'Nk2': 14560, 'analytic_conductor': 29.06554633574606, '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': [3640, 1, [911, 1821, 1457, 521, 561], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 657, 'dim': 72, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11], 'hecke_orbit_code': 33558072, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 7], 'label': '3640.2.a', 'level': 3640, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 13], 'level_radical': 910, 'mf_dim': 688, 'mf_new_dim': 72, 'num_forms': 27, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 1344, 'trace_bound': 11, 'trace_display': [0, 8, 0, 0], 'traces': [72, 0, 8, 0, 0, 0, 0, 0, 48, 0, 8, 0, 0, 0, 0, 0, -24, 0, 24, 0, 0, 0, 0, 0, 72, 0, 32, 0, 0, 0, 0, 0, -48, 0, 0, 0, 8, 0, 0, 0, -8, 0, 24, 0, 0, 0, 0, 0, 72, 0, 16, 0, 16, 0, 0, 0, -32, 0, 24, 0, 32, 0, 0, 0, 8, 0, 16, 0, 16, 0, -40, 0, -24, 0, 8, 0, 0, 0, 24, 0, -8, 0, -24, 0, 8, 0, 16, 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0, 224, 0, -160, 0, 104, 0, 96, 0, -128, 0, -224, 0, -192, 0, -736, 0, -80, 0, -96, 0, -48, 0, 64, 0, 360, 0, 0, 0, -304, 0, 416, 0, -32, 0, 312, 0, -48, 0, 224, 0, -608, 0, 200, 0, 0, 0, 8, 0, -128, 0, -152, 0, -112, 0, -400, 0, -80, 0, 32, 0, 32, 0, -760, 0, 8, 0, 176, 0, 264, 0, 496, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1131560
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 16, 'source_is_minimal': True, 'source_label': '3640.2.a.p', 'source_level': 3640, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 16, 'target_is_minimal': True, 'target_label': '3640.2.a.p', 'target_level': 3640, 'twist_class_label': '3640.2.a.p', 'twist_class_level': 3640, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1131561
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 16, 'source_is_minimal': True, 'source_label': '3640.2.a.p', 'source_level': 3640, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '7280.2.a.bn', 'target_level': 7280, 'twist_class_label': '3640.2.a.p', 'twist_class_level': 3640, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3285450
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 67553994444115512, 'p': 2}
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id: 3285451
{'charpoly_factorization': [[[-12, -9, 1, 1], 1]], 'hecke_orbit_code': 67553994444115512, 'p': 3}
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id: 3285452
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 67553994444115512, 'p': 5}
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id: 3285453
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 67553994444115512, 'p': 7}
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id: 3285454
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 67553994444115512, 'p': 11}
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id: 3285455
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 67553994444115512, 'p': 13}
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id: 3285456
{'charpoly_factorization': [[[18, -15, -1, 1], 1]], 'hecke_orbit_code': 67553994444115512, 'p': 17}
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id: 3285457
{'charpoly_factorization': [[[-8, -7, 5, 1], 1]], 'hecke_orbit_code': 67553994444115512, 'p': 19}
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id: 3285458
{'charpoly_factorization': [[[48, -36, -4, 1], 1]], 'hecke_orbit_code': 67553994444115512, 'p': 23}
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id: 3285459
{'charpoly_factorization': [[[-202, -15, 9, 1], 1]], 'hecke_orbit_code': 67553994444115512, 'p': 29}
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id: 3285460
{'charpoly_factorization': [[[-24, 31, -11, 1], 1]], 'hecke_orbit_code': 67553994444115512, 'p': 31}
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id: 3285461
{'charpoly_factorization': [[[186, -59, -1, 1], 1]], 'hecke_orbit_code': 67553994444115512, 'p': 37}
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id: 3285462
{'charpoly_factorization': [[[18, -15, -1, 1], 1]], 'hecke_orbit_code': 67553994444115512, 'p': 41}
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id: 3285463
{'charpoly_factorization': [[[-16, -4, 10, 1], 1]], 'hecke_orbit_code': 67553994444115512, 'p': 43}
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id: 3285464
{'charpoly_factorization': [[[96, -20, -8, 1], 1]], 'hecke_orbit_code': 67553994444115512, 'p': 47}
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id: 3285465
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 67553994444115512, 'p': 53}
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id: 3285466
{'charpoly_factorization': [[[-16, -57, -9, 1], 1]], 'hecke_orbit_code': 67553994444115512, 'p': 59}
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id: 3285467
{'charpoly_factorization': [[[10, 1], 3]], 'hecke_orbit_code': 67553994444115512, 'p': 61}
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id: 3285468
{'charpoly_factorization': [[[-332, -115, -1, 1], 1]], 'hecke_orbit_code': 67553994444115512, 'p': 67}
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id: 3285469
{'charpoly_factorization': [[[96, -36, -2, 1], 1]], 'hecke_orbit_code': 67553994444115512, 'p': 71}
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id: 3285470
{'charpoly_factorization': [[[-128, -144, -6, 1], 1]], 'hecke_orbit_code': 67553994444115512, 'p': 73}
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id: 3285471
{'charpoly_factorization': [[[8, -7, -5, 1], 1]], 'hecke_orbit_code': 67553994444115512, 'p': 79}
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id: 3285472
{'charpoly_factorization': [[[-48, -36, 4, 1], 1]], 'hecke_orbit_code': 67553994444115512, 'p': 83}
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id: 3285473
{'charpoly_factorization': [[[386, -151, 1, 1], 1]], 'hecke_orbit_code': 67553994444115512, 'p': 89}
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id: 3285474
{'charpoly_factorization': [[[-1016, -232, -4, 1], 1]], 'hecke_orbit_code': 67553994444115512, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '3640.2.a.p', 'level': 3640, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 234602000
{'hecke_orbit_code': 67553994444115512, 'n': 1, 'trace_an': 3}
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id: 234602001
{'hecke_orbit_code': 67553994444115512, 'n': 2, 'trace_an': 0}
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id: 234602002
{'hecke_orbit_code': 67553994444115512, 'n': 3, 'trace_an': -1}
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id: 234602003
{'hecke_orbit_code': 67553994444115512, 'n': 4, 'trace_an': 0}
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id: 234602004
{'hecke_orbit_code': 67553994444115512, 'n': 5, 'trace_an': -3}
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id: 234602005
{'hecke_orbit_code': 67553994444115512, 'n': 6, 'trace_an': 0}
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id: 234602006
{'hecke_orbit_code': 67553994444115512, 'n': 7, 'trace_an': 3}
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id: 234602007
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