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{'Nk2': 18240, 'analytic_conductor': 36.41178332170386, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -1], [19, 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': [4560, 1, [1711, 1141, 3041, 2737, 1921], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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': [[7, [2, 1]], [11, [0, 1]], [13, [2, 1]], [17, [-4, 1]]], 'hecke_orbit': 26, 'hecke_orbit_code': 112589990717821392, 'hecke_ring_generator_nbound': 1, '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': False, 'label': '4560.2.a.z', 'level': 4560, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '2280.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}-2q^{7}+q^{9}-2q^{13}+q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/4560/z'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4560.2.a', 'trace_display': [0, 1, 1, -2], 'trace_hash': 1682025928733381214, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.043', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.195', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.728', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, 'traces': [1, 0, 1, 0, 1, 0, -2, 0, 1, 0, 0, 0, -2, 0, 1, 0, 4, 0, -1, 0, -2, 0, -4, 0, 1, 0, 1, 0, -6, 0, -10, 0, 0, 0, -2, 0, -10, 0, -2, 0, 0, 0, -4, 0, 1, 0, -4, 0, -3, 0, 4, 0, 10, 0, 0, 0, -1, 0, 6, 0, 10, 0, -2, 0, -2, 0, 4, 0, -4, 0, -8, 0, -2, 0, 1, 0, 0, 0, 6, 0, 1, 0, -6, 0, 4, 0, -6, 0, 4, 0, 4, 0, -10, 0, -1, 0, 2, 0, 0, 0, -6, 0, 0, 0, -2, 0, -8, 0, -8, 0, -10, 0, 6, 0, -4, 0, -2, 0, -8, 0, -11, 0, 0, 0, 1, 0, -8, 0, -4, 0, -16, 0, 2, 0, 1, 0, 16, 0, -20, 0, -4, 0, 0, 0, -6, 0, -3, 0, -6, 0, 10, 0, 4, 0, -10, 0, 8, 0, 10, 0, 8, 0, -16, 0, 0, 0, -8, 0, -9, 0, -1, 0, 2, 0, -2, 0, 6, 0, -6, 0, 8, 0, 10, 0, -10, 0, 0, 0, -2, 0, 0, 0, 14, 0, -2, 0, 26, 0, -4, 0, 4, 0, 12, 0, 0, 0, -4, 0, 0, 0, 8, 0, -8, 0, -4, 0, 20, 0, -2, 0, -8, 0, -4, 0, 1, 0, -4, 0, -26, 0, 0, 0, -28, 0, 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'hecke_orbit_code': 112589990717821392, 'label': '4560.2.a.z.1.1', 'level': 4560, 'weight': 2}
-
mf_newspaces • Show schema
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'char_values': [4560, 1, [1711, 1141, 3041, 2737, 1921], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 72, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33558992, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3], 'label': '4560.2.a', 'level': 4560, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 984, 'mf_new_dim': 72, 'num_forms': 48, 'plus_dim': 28, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 1920, 'trace_bound': 13, 'trace_display': [0, 0, 0, -8], 'traces': [72, 0, 0, 0, 0, 0, -8, 0, 72, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 72, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 8, 0, 0, 0, 48, 0, 72, 0, 0, 0, 32, 0, -16, 0, 0, 0, 16, 0, 0, 0, -8, 0, 0, 0, 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0, 16, 0, 64, 0, 32, 0, -160, 0, -80, 0, -64, 0, 352, 0, 736, 0, -48, 0, -160, 0, -160, 0, 32, 0, 80, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48569335
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 112589990717821392, 'source_is_minimal': False, 'source_label': '4560.2.a.z.1.1', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717821392, 'target_is_minimal': False, 'target_label': '4560.2.a.z.1.1', 'target_level': 4560, 'twist_class_label': '2280.2.a.c.1.1', 'twist_class_level': 2280, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48569336
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 112589990717821392, 'source_is_minimal': False, 'source_label': '4560.2.a.z.1.1', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288297704, 'target_is_minimal': True, 'target_label': '2280.2.a.c.1.1', 'target_level': 2280, 'twist_class_label': '2280.2.a.c.1.1', 'twist_class_level': 2280, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48569337
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 112589990717821392, 'source_is_minimal': False, 'source_label': '4560.2.a.z.1.1', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307266232, 'target_is_minimal': False, 'target_label': '6840.2.a.k.1.1', 'target_level': 6840, 'twist_class_label': '2280.2.a.c.1.1', 'twist_class_level': 2280, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3634525
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 2}
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id: 3634526
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 3}
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id: 3634527
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 5}
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id: 3634528
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 7}
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id: 3634529
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 11}
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id: 3634530
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 13}
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id: 3634531
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 17}
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id: 3634532
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 19}
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id: 3634533
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 23}
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id: 3634534
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 29}
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id: 3634535
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 31}
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id: 3634536
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 37}
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id: 3634537
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 41}
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id: 3634538
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 43}
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id: 3634539
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 47}
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id: 3634540
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 53}
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id: 3634541
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 59}
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id: 3634542
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 61}
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id: 3634543
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 67}
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id: 3634544
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 71}
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id: 3634545
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 73}
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id: 3634546
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 79}
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id: 3634547
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 83}
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id: 3634548
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 89}
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id: 3634549
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 112589990717821392, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 26, 'label': '4560.2.a.z', 'level': 4560, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 258939000
{'hecke_orbit_code': 112589990717821392, 'n': 1, 'trace_an': 1}
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id: 258939001
{'hecke_orbit_code': 112589990717821392, 'n': 2, 'trace_an': 0}
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id: 258939002
{'hecke_orbit_code': 112589990717821392, 'n': 3, 'trace_an': 1}
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id: 258939003
{'hecke_orbit_code': 112589990717821392, 'n': 4, 'trace_an': 0}
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id: 258939004
{'hecke_orbit_code': 112589990717821392, 'n': 5, 'trace_an': 1}
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id: 258939005
{'hecke_orbit_code': 112589990717821392, 'n': 6, 'trace_an': 0}
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id: 258939006
{'hecke_orbit_code': 112589990717821392, 'n': 7, 'trace_an': -2}
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id: 258939007
{'hecke_orbit_code': 112589990717821392, 'n': 8, 'trace_an': 0}
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id: 258939008
{'hecke_orbit_code': 112589990717821392, 'n': 9, 'trace_an': 1}
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id: 258939009
{'hecke_orbit_code': 112589990717821392, 'n': 10, 'trace_an': 0}
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id: 258939010
{'hecke_orbit_code': 112589990717821392, 'n': 11, 'trace_an': 0}
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id: 258939011
{'hecke_orbit_code': 112589990717821392, 'n': 12, 'trace_an': 0}
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id: 258939012
{'hecke_orbit_code': 112589990717821392, 'n': 13, 'trace_an': -2}
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id: 258939013
{'hecke_orbit_code': 112589990717821392, 'n': 14, 'trace_an': 0}
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