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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, [4, 1]], [13, [0, 1]], [17, [2, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580968912, '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.u', '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.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}+2q^{7}+q^{9}-4q^{11}-q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/4560/u'], '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': 1580390741232120847, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.990', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.953', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.863', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, 'traces': [1, 0, 1, 0, -1, 0, 2, 0, 1, 0, -4, 0, 0, 0, -1, 0, -2, 0, -1, 0, 2, 0, 2, 0, 1, 0, 1, 0, -6, 0, 0, 0, -4, 0, -2, 0, -8, 0, 0, 0, -2, 0, 6, 0, -1, 0, 2, 0, -3, 0, -2, 0, -4, 0, 4, 0, -1, 0, -4, 0, -10, 0, 2, 0, 0, 0, 12, 0, 2, 0, -8, 0, -2, 0, 1, 0, -8, 0, 8, 0, 1, 0, -14, 0, 2, 0, -6, 0, -2, 0, 0, 0, 0, 0, 1, 0, -4, 0, -4, 0, 2, 0, 0, 0, -2, 0, -8, 0, -10, 0, -8, 0, 4, 0, -2, 0, 0, 0, -4, 0, 5, 0, -2, 0, -1, 0, 8, 0, 6, 0, 0, 0, -2, 0, -1, 0, -18, 0, -8, 0, 2, 0, 0, 0, 6, 0, -3, 0, -10, 0, 8, 0, -2, 0, 0, 0, 6, 0, -4, 0, 4, 0, -2, 0, 4, 0, 12, 0, -13, 0, -1, 0, 12, 0, 2, 0, -4, 0, -4, 0, 6, 0, -10, 0, 8, 0, 8, 0, 2, 0, -4, 0, -4, 0, 0, 0, 10, 0, -8, 0, 12, 0, -12, 0, 2, 0, 2, 0, 4, 0, -28, 0, -8, 0, -6, 0, 0, 0, -2, 0, 0, 0, 24, 0, 1, 0, -8, 0, 10, 0, -8, 0, 18, 0, -2, 0, 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-
mf_newspaces • Show schema
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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: 48321259
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580968912, 'source_is_minimal': False, 'source_label': '4560.2.a.u.1.1', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580968912, 'target_is_minimal': False, 'target_label': '4560.2.a.u.1.1', 'target_level': 4560, 'twist_class_label': '1140.2.a.a.1.1', 'twist_class_level': 1140, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48321260
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580968912, 'source_is_minimal': False, 'source_label': '4560.2.a.u.1.1', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33555572, 'target_is_minimal': True, 'target_label': '1140.2.a.a.1.1', 'target_level': 1140, 'twist_class_label': '1140.2.a.a.1.1', 'twist_class_level': 1140, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48321261
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580968912, 'source_is_minimal': False, 'source_label': '4560.2.a.u.1.1', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660928348, 'target_is_minimal': False, 'target_label': '3420.2.a.b.1.1', 'target_level': 3420, 'twist_class_label': '1140.2.a.a.1.1', 'twist_class_level': 1140, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48321262
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580968912, 'source_is_minimal': False, 'source_label': '4560.2.a.u.1.1', 'source_level': 4560, 'target_conrey_index': 3649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539939532019268, 'target_is_minimal': False, 'target_label': '5700.2.f.l.3649.1', 'target_level': 5700, 'twist_class_label': '1140.2.a.a.1.1', 'twist_class_level': 1140, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48321263
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580968912, 'source_is_minimal': False, 'source_label': '4560.2.a.u.1.1', 'source_level': 4560, 'target_conrey_index': 3649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539939532019268, 'target_is_minimal': False, 'target_label': '5700.2.f.l.3649.2', 'target_level': 5700, 'twist_class_label': '1140.2.a.a.1.1', 'twist_class_level': 1140, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48321264
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580968912, 'source_is_minimal': False, 'source_label': '4560.2.a.u.1.1', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698858564, 'target_is_minimal': False, 'target_label': '5700.2.a.r.1.1', 'target_level': 5700, 'twist_class_label': '1140.2.a.a.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: 3634375
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 2}
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id: 3634376
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 3}
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id: 3634377
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 5}
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id: 3634378
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 7}
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id: 3634379
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 11}
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id: 3634380
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 13}
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id: 3634381
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 17}
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id: 3634382
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 19}
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id: 3634383
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 23}
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id: 3634384
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 29}
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id: 3634385
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 31}
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id: 3634386
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 37}
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id: 3634387
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 41}
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id: 3634388
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 43}
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id: 3634389
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 47}
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id: 3634390
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 53}
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id: 3634391
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 59}
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id: 3634392
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 61}
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id: 3634393
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 67}
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id: 3634394
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 71}
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id: 3634395
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 73}
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id: 3634396
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 79}
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id: 3634397
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 83}
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id: 3634398
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 89}
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id: 3634399
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 90071992580968912, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '4560.2.a.u', 'level': 4560, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 249375000
{'hecke_orbit_code': 90071992580968912, 'n': 1, 'trace_an': 1}
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id: 249375001
{'hecke_orbit_code': 90071992580968912, 'n': 2, 'trace_an': 0}
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id: 249375002
{'hecke_orbit_code': 90071992580968912, 'n': 3, 'trace_an': 1}
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id: 249375003
{'hecke_orbit_code': 90071992580968912, 'n': 4, 'trace_an': 0}
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id: 249375004
{'hecke_orbit_code': 90071992580968912, 'n': 5, 'trace_an': -1}
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id: 249375005
{'hecke_orbit_code': 90071992580968912, 'n': 6, 'trace_an': 0}
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id: 249375006
{'hecke_orbit_code': 90071992580968912, 'n': 7, 'trace_an': 2}
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id: 249375007
{'hecke_orbit_code': 90071992580968912, 'n': 8, 'trace_an': 0}
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id: 249375008
{'hecke_orbit_code': 90071992580968912, 'n': 9, 'trace_an': 1}
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id: 249375009
{'hecke_orbit_code': 90071992580968912, 'n': 10, 'trace_an': 0}
-
id: 249375010
{'hecke_orbit_code': 90071992580968912, 'n': 11, 'trace_an': -4}
-
id: 249375011
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