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{'Nk2': 5896, 'analytic_conductor': 11.769949257936728, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [11, -1], [67, -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': [1474, 1, [805, 1409], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-1, -1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660926402, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1474.2.a.b', 'level': 1474, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 11, 67], 'level_radical': 1474, 'minimal_twist': '1474.2.a.b', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+\\beta q^{3}+q^{4}+(-2+2\\beta )q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1474.2.a', 'trace_display': [2, 1, -2, 2], 'trace_hash': 1998761430605402395, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.885', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, 0], [0, 1], [1, 0], [-2, 2], [0, 1], [0, 2], [1, 0], [-2, 1], [-2, 2], [1, 0], [0, 1], [4, -3], [0, 2], [2, 0], [1, 0], [4, -2], [-2, 1], [-3, 3], [-2, 2], [2, 2], [1, 0], [2, 0], [0, 1], [3, -4], [4, -3], [1, -4], [0, 2], [-6, -2], [2, 0], [-5, 1], [1, 0], [0, 1], [4, -2], [4, 0], [-2, 1], [6, -3], [-3, 3], [-3, 1], [-2, 2], [7, -5], [2, 2], [8, -2], [1, 0], [6, -4], [2, 0], [12, -2], [0, 1], [-3, 4], [3, -4], [-2, 2], [4, -3], [2, 2], [1, -4], [-2, 2], [0, 2], [3, 0], [-6, -2], [2, -2], [2, 0], [7, -11], [-5, 1], [2, -2], [1, 0], [-14, 8], [0, 1], [1, 0], [4, -2], [0, 2], [4, 0], [8, -6], [-2, 1], [2, -4], [6, -3], [-4, -1], [-3, 3], [0, 2], [-3, 1], [-8, 0], [-2, 2], [2, -6], [7, -5], [-4, 0], [2, 2], [-12, 8], [8, -2], [-2, -8], [1, 0], [-13, 1], [6, -4], [-6, 2], [2, 0], [1, -4], [12, -2], [12, -6], [0, 1], [0, 8], [-3, 4], [-2, 1], [3, -4]], 'ap': [[1, 0], [0, 1], [-2, 2], [0, 2], [1, 0], [4, -3], [4, -2], [-3, 3], [2, 0], [-6, -2], [-5, 1], [6, -3], [7, -5], 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[-56, 46], [-8, -46], [32, -9], [-4, -38], [-2, 40], [-48, -30], [36, 32], [-61, 63], [-50, 50], [-16, 48], [-62, 6], [48, 8], [-58, 47], [-77, -5], [32, 8], [-94, 14], [20, -23], [-73, -1], [-22, 18], [8, 18], [-13, 1], [-30, 0], [-28, 36], [-46, 36], [-20, -24], [14, 2], [8, -40], [76, -28]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 4503599660926402, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1474.2.a.b', 'level': 1474, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [7, 7, 6, 7, 9, 5, 5, 9], 'Nk2': 5896, 'analytic_conductor': 11.769949257936728, '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': [1474, 1, [805, 1409], [1, 1]], 'conrey_index': 1, 'cusp_dim': 201, 'dim': 55, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 33555906, 'hecke_orbit_dims': [1, 2, 5, 5, 6, 7, 7, 7, 7, 8], 'label': '1474.2.a', 'level': 1474, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 11, 67], 'level_radical': 1474, 'mf_dim': 208, 'mf_new_dim': 55, 'num_forms': 10, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 55, 'sturm_bound': 408, 'trace_bound': 3, 'trace_display': [1, -4, -2, -8], 'traces': [55, 1, -4, 55, -2, -4, -8, 1, 47, 6, -1, -4, -2, 0, 16, 55, 14, 13, -16, -2, 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mf_twists_nf • Show schema
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{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1474.2.a.b', 'source_level': 1474, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1474.2.a.b', 'target_level': 1474, 'twist_class_label': '1474.2.a.b', 'twist_class_level': 1474, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1977475
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 4503599660926402, 'p': 2}
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id: 1977476
{'charpoly_factorization': [[[-1, -1, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 3}
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id: 1977477
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 5}
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id: 1977478
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 7}
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id: 1977479
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 4503599660926402, 'p': 11}
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id: 1977480
{'charpoly_factorization': [[[-5, -5, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 13}
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id: 1977481
{'charpoly_factorization': [[[4, -6, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 17}
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id: 1977482
{'charpoly_factorization': [[[-9, 3, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 19}
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id: 1977483
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 4503599660926402, 'p': 23}
-
id: 1977484
{'charpoly_factorization': [[[44, 14, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 29}
-
id: 1977485
{'charpoly_factorization': [[[19, 9, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 31}
-
id: 1977486
{'charpoly_factorization': [[[9, -9, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 37}
-
id: 1977487
{'charpoly_factorization': [[[-11, -9, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 41}
-
id: 1977488
{'charpoly_factorization': [[[44, -14, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 43}
-
id: 1977489
{'charpoly_factorization': [[[116, -22, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 47}
-
id: 1977490
{'charpoly_factorization': [[[4, -6, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 53}
-
id: 1977491
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 59}
-
id: 1977492
{'charpoly_factorization': [[[-149, -3, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 61}
-
id: 1977493
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 4503599660926402, 'p': 67}
-
id: 1977494
{'charpoly_factorization': [[[-20, -10, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 71}
-
id: 1977495
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 73}
-
id: 1977496
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 4503599660926402, 'p': 79}
-
id: 1977497
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 4503599660926402, 'p': 83}
-
id: 1977498
{'charpoly_factorization': [[[155, 25, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 89}
-
id: 1977499
{'charpoly_factorization': [[[-64, -8, 1], 1]], 'hecke_orbit_code': 4503599660926402, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '1474.2.a.b', 'level': 1474, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 16398546
{'hecke_orbit_code': 4503599660926402, 'n': 1, 'trace_an': 2}
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id: 16398547
{'hecke_orbit_code': 4503599660926402, 'n': 2, 'trace_an': 2}
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id: 16398548
{'hecke_orbit_code': 4503599660926402, 'n': 3, 'trace_an': 1}
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id: 16398549
{'hecke_orbit_code': 4503599660926402, 'n': 4, 'trace_an': 2}
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