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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': 564, 'field_disc_factorization': [[2, 2], [3, 1], [47, 1]], 'field_poly': [3, -5, -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, [-4, -4, 4, 1]], [11, [-76, -12, 6, 1]], [13, [12, -8, -2, 1]], [17, [72, -44, -2, 1]]], 'hecke_orbit': 44, 'hecke_orbit_code': 193654784010490320, '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.br', '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': '1140.2.a.g', 'nf_label': '3.3.564.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{5}+(-1+\\beta _{2})q^{7}+q^{9}+(-2+\\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, -4], 'trace_hash': 1217045672410071819, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.878', 'prec': 17}, 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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: 48975082
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 193654784010490320, 'source_is_minimal': False, 'source_label': '4560.2.a.br.1.3', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 193654784010490320, 'target_is_minimal': False, 'target_label': '4560.2.a.br.1.3', 'target_level': 4560, 'twist_class_label': '1140.2.a.g.1.1', 'twist_class_level': 1140, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48975083
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 193654784010490320, 'source_is_minimal': False, 'source_label': '4560.2.a.br.1.3', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797778548, 'target_is_minimal': True, 'target_label': '1140.2.a.g.1.1', 'target_level': 1140, 'twist_class_label': '1140.2.a.g.1.1', 'twist_class_level': 1140, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48975084
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 193654784010490320, 'source_is_minimal': False, 'source_label': '4560.2.a.br.1.3', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562003804, 'target_is_minimal': False, 'target_label': '3420.2.a.m.1.1', 'target_level': 3420, 'twist_class_label': '1140.2.a.g.1.1', 'twist_class_level': 1140, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48975085
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 193654784010490320, 'source_is_minimal': False, 'source_label': '4560.2.a.br.1.3', 'source_level': 4560, 'target_conrey_index': 3649, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 72057937668871748, 'target_is_minimal': False, 'target_label': '5700.2.f.q.3649.6', 'target_level': 5700, 'twist_class_label': '1140.2.a.g.1.1', 'twist_class_level': 1140, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48975086
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 193654784010490320, 'source_is_minimal': False, 'source_label': '4560.2.a.br.1.3', 'source_level': 4560, 'target_conrey_index': 3649, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057937668871748, 'target_is_minimal': False, 'target_label': '5700.2.f.q.3649.1', 'target_level': 5700, 'twist_class_label': '1140.2.a.g.1.1', 'twist_class_level': 1140, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48975087
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 193654784010490320, 'source_is_minimal': False, 'source_label': '4560.2.a.br.1.3', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 99079191835711044, 'target_is_minimal': False, 'target_label': '5700.2.a.w.1.3', 'target_level': 5700, 'twist_class_label': '1140.2.a.g.1.1', 'twist_class_level': 1140, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3634900
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 193654784010490320, 'p': 2}
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id: 3634901
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 193654784010490320, 'p': 3}
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id: 3634902
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 193654784010490320, 'p': 5}
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id: 3634903
{'charpoly_factorization': [[[-4, -4, 4, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 7}
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id: 3634904
{'charpoly_factorization': [[[-76, -12, 6, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 11}
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id: 3634905
{'charpoly_factorization': [[[12, -8, -2, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 13}
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id: 3634906
{'charpoly_factorization': [[[72, -44, -2, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 17}
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id: 3634907
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 193654784010490320, 'p': 19}
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id: 3634908
{'charpoly_factorization': [[[-344, -60, 6, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 23}
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id: 3634909
{'charpoly_factorization': [[[-36, -24, 0, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 29}
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id: 3634910
{'charpoly_factorization': [[[208, -72, 0, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 31}
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id: 3634911
{'charpoly_factorization': [[[4, -72, 6, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 37}
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id: 3634912
{'charpoly_factorization': [[[-4, 24, -12, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 41}
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id: 3634913
{'charpoly_factorization': [[[468, -60, -8, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 43}
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id: 3634914
{'charpoly_factorization': [[[72, -60, 6, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 47}
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id: 3634915
{'charpoly_factorization': [[[1488, -168, -8, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 53}
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id: 3634916
{'charpoly_factorization': [[[864, -144, -4, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 59}
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id: 3634917
{'charpoly_factorization': [[[8, 44, -14, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 61}
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id: 3634918
{'charpoly_factorization': [[[768, -128, -8, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 67}
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id: 3634919
{'charpoly_factorization': [[[-1312, -64, 16, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 71}
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id: 3634920
{'charpoly_factorization': [[[-328, -52, 10, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 73}
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id: 3634921
{'charpoly_factorization': [[[384, 0, -16, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 79}
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id: 3634922
{'charpoly_factorization': [[[-24, -20, 2, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 83}
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id: 3634923
{'charpoly_factorization': [[[-36, -24, 0, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 89}
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id: 3634924
{'charpoly_factorization': [[[12, 24, 10, 1], 1]], 'hecke_orbit_code': 193654784010490320, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 44, 'label': '4560.2.a.br', '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: 274932000
{'hecke_orbit_code': 193654784010490320, 'n': 1, 'trace_an': 3}
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id: 274932001
{'hecke_orbit_code': 193654784010490320, 'n': 2, 'trace_an': 0}
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id: 274932002
{'hecke_orbit_code': 193654784010490320, 'n': 3, 'trace_an': -3}
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id: 274932003
{'hecke_orbit_code': 193654784010490320, 'n': 4, 'trace_an': 0}
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id: 274932004
{'hecke_orbit_code': 193654784010490320, 'n': 5, 'trace_an': 3}
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id: 274932005
{'hecke_orbit_code': 193654784010490320, 'n': 6, 'trace_an': 0}
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id: 274932006
{'hecke_orbit_code': 193654784010490320, 'n': 7, 'trace_an': -4}
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id: 274932007
{'hecke_orbit_code': 193654784010490320, 'n': 8, 'trace_an': 0}
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id: 274932008
{'hecke_orbit_code': 193654784010490320, 'n': 9, 'trace_an': 3}
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id: 274932009
{'hecke_orbit_code': 193654784010490320, 'n': 10, 'trace_an': 0}
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id: 274932010
{'hecke_orbit_code': 193654784010490320, 'n': 11, 'trace_an': -6}
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id: 274932011
{'hecke_orbit_code': 193654784010490320, 'n': 12, 'trace_an': 0}
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id: 274932012
{'hecke_orbit_code': 193654784010490320, 'n': 13, 'trace_an': 2}
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id: 274932013
{'hecke_orbit_code': 193654784010490320, 'n': 14, 'trace_an': 0}
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id: 274932014
{'hecke_orbit_code': 193654784010490320, 'n': 15, 'trace_an': -3}
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id: 274932015
{'hecke_orbit_code': 193654784010490320, 'n': 16, 'trace_an': 0}
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id: 274932016
{'hecke_orbit_code': 193654784010490320, 'n': 17, 'trace_an': 2}
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id: 274932017
{'hecke_orbit_code': 193654784010490320, 'n': 18, 'trace_an': 0}
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id: 274932018
{'hecke_orbit_code': 193654784010490320, 'n': 19, 'trace_an': 3}
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id: 274932999
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