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{'Nk2': 18240, 'analytic_conductor': 36.41178332170386, 'analytic_rank': 0, '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': 3, 'field_disc': 1016, 'field_disc_factorization': [[2, 3], [127, 1]], 'field_poly': [2, -6, -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': [[7, [-16, -14, 0, 1]], [11, [-96, -26, 4, 1]], [13, [36, -2, -6, 1]], [17, [16, -24, -2, 1]]], 'hecke_orbit': 43, 'hecke_orbit_code': 189151184383119824, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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.bq', '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.t', 'nf_label': '3.3.1016.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-q^{5}-\\beta _{2}q^{7}+q^{9}+(-1+\\beta _{1}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4560.2.a', 'trace_display': [0, -3, -3, 0], 'trace_hash': 1441293184317083255, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.068', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.025', 'prec': 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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [19, -1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [19, -1]], 4, 3], [[[2, -1], [3, 1], [5, 1], [19, 1]], 5, 5], [[[2, 1], [3, 1], [5, -1], [19, -1]], 3, 3], [[[2, 1], [3, -1], [5, -1], [19, 1]], 3, 3], [[[2, 1], [3, 1], [5, -1], [19, 1]], 6, 3], [[[2, -1], [3, 1], [5, -1], [19, 1]], 3, 2], [[[2, 1], [3, 1], [5, 1], [19, 1]], 4, 3], [[[2, -1], [3, 1], [5, -1], [19, -1]], 6, 4], [[[2, 1], [3, 1], [5, 1], [19, -1]], 5, 2], [[[2, 1], [3, -1], [5, -1], [19, -1]], 6, 3], [[[2, 1], [3, -1], [5, 1], [19, -1]], 4, 2], [[[2, -1], [3, -1], [5, 1], [19, -1]], 5, 4], [[[2, 1], [3, -1], [5, 1], [19, 1]], 5, 2], [[[2, -1], [3, -1], [5, -1], [19, 1]], 6, 4], [[[2, -1], [3, -1], [5, 1], [19, 1]], 4, 3]], 'ALdims': [4, 5, 6, 3, 5, 4, 3, 6, 5, 4, 3, 6, 4, 5, 6, 3], 'Nk2': 18240, 'analytic_conductor': 36.41178332170386, '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': [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: 48962495
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 189151184383119824, 'source_is_minimal': False, 'source_label': '4560.2.a.bq.1.2', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 189151184383119824, 'target_is_minimal': False, 'target_label': '4560.2.a.bq.1.2', 'target_level': 4560, 'twist_class_label': '2280.2.a.t.1.2', 'twist_class_level': 2280, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48962496
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 189151184383119824, 'source_is_minimal': False, 'source_label': '4560.2.a.bq.1.2', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568392953596136, 'target_is_minimal': True, 'target_label': '2280.2.a.t.1.2', 'target_level': 2280, 'twist_class_label': '2280.2.a.t.1.2', 'twist_class_level': 2280, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48962497
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 189151184383119824, 'source_is_minimal': False, 'source_label': '4560.2.a.bq.1.2', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 175640385501010616, 'target_is_minimal': False, 'target_label': '6840.2.a.bn.1.2', 'target_level': 6840, 'twist_class_label': '2280.2.a.t.1.2', 'twist_class_level': 2280, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3634450
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 189151184383119824, 'p': 2}
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id: 3634451
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 189151184383119824, 'p': 3}
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id: 3634452
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 189151184383119824, 'p': 5}
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id: 3634453
{'charpoly_factorization': [[[-16, -14, 0, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 7}
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id: 3634454
{'charpoly_factorization': [[[-96, -26, 4, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 11}
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id: 3634455
{'charpoly_factorization': [[[36, -2, -6, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 13}
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id: 3634456
{'charpoly_factorization': [[[16, -24, -2, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 17}
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id: 3634457
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 189151184383119824, 'p': 19}
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id: 3634458
{'charpoly_factorization': [[[-32, -20, 4, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 23}
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id: 3634459
{'charpoly_factorization': [[[156, -46, -2, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 29}
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id: 3634460
{'charpoly_factorization': [[[-48, -4, 8, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 31}
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id: 3634461
{'charpoly_factorization': [[[36, -2, -6, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 37}
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id: 3634462
{'charpoly_factorization': [[[36, -30, 2, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 41}
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id: 3634463
{'charpoly_factorization': [[[-8, 34, 12, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 43}
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id: 3634464
{'charpoly_factorization': [[[32, -20, -4, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 47}
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id: 3634465
{'charpoly_factorization': [[[16, -24, -2, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 53}
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id: 3634466
{'charpoly_factorization': [[[-288, -8, 12, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 59}
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id: 3634467
{'charpoly_factorization': [[[576, -32, -14, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 61}
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id: 3634468
{'charpoly_factorization': [[[-128, -96, 4, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 67}
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id: 3634469
{'charpoly_factorization': [[[-768, -104, 8, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 71}
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id: 3634470
{'charpoly_factorization': [[[-10, 1], 3]], 'hecke_orbit_code': 189151184383119824, 'p': 73}
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id: 3634471
{'charpoly_factorization': [[[128, -96, -4, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 79}
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id: 3634472
{'charpoly_factorization': [[[-3456, -284, 12, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 83}
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id: 3634473
{'charpoly_factorization': [[[-508, -126, 2, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 89}
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id: 3634474
{'charpoly_factorization': [[[-844, 286, -30, 1], 1]], 'hecke_orbit_code': 189151184383119824, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 43, 'label': '4560.2.a.bq', '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: 274474000
{'hecke_orbit_code': 189151184383119824, 'n': 1, 'trace_an': 3}
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id: 274474001
{'hecke_orbit_code': 189151184383119824, 'n': 2, 'trace_an': 0}
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id: 274474002
{'hecke_orbit_code': 189151184383119824, 'n': 3, 'trace_an': -3}
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id: 274474003
{'hecke_orbit_code': 189151184383119824, 'n': 4, 'trace_an': 0}
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id: 274474004
{'hecke_orbit_code': 189151184383119824, 'n': 5, 'trace_an': -3}
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id: 274474005
{'hecke_orbit_code': 189151184383119824, 'n': 6, 'trace_an': 0}
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