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{'Nk2': 15456, 'analytic_conductor': 56.99584506554543, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, -1], [23, 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': [966, 1, [323, 829, 925], [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': [[5, [9, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599694480326, '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': True, 'label': '966.4.a.b', 'level': 966, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'minimal_twist': '966.4.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{2}-3q^{3}+4q^{4}-9q^{5}-6q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '966.4.a', 'trace_display': [2, -3, -9, 7], 'trace_hash': 136112200888972879, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.976', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.909', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, 1], [7, 1], [23, 1]], 5, 1], [[[2, -1], [3, -1], [7, -1], [23, -1]], 6, 1], [[[2, 1], [3, 1], [7, -1], [23, -1]], 4, 1], [[[2, 1], [3, 1], [7, -1], [23, 1]], 5, 1], [[[2, -1], [3, -1], [7, -1], [23, 1]], 2, 1], [[[2, -1], [3, 1], [7, -1], [23, -1]], 4, 1], [[[2, 1], [3, -1], [7, -1], [23, -1]], 3, 1], [[[2, -1], [3, -1], [7, 1], [23, -1]], 3, 1], [[[2, 1], [3, -1], [7, 1], [23, -1]], 5, 1], [[[2, 1], [3, -1], [7, -1], [23, 1]], 6, 2], [[[2, -1], [3, 1], [7, -1], [23, 1]], 4, 2], [[[2, 1], [3, -1], [7, 1], [23, 1]], 4, 1], [[[2, -1], [3, 1], [7, 1], [23, -1]], 5, 1], [[[2, -1], [3, -1], [7, 1], [23, 1]], 5, 1], [[[2, 1], [3, 1], [7, 1], [23, -1]], 4, 1], [[[2, -1], [3, 1], [7, 1], [23, 1]], 3, 1]], 'ALdims': [5, 4, 5, 4, 4, 5, 6, 3, 3, 5, 4, 4, 5, 3, 2, 6], 'Nk2': 15456, 'analytic_conductor': 56.99584506554543, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 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4, 'weight_parity': 1}
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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': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '966.4.a.b', 'source_level': 966, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '966.4.a.b', 'target_level': 966, 'twist_class_label': '966.4.a.b', 'twist_class_level': 966, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 1546150
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 2}
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id: 1546151
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 3}
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id: 1546152
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 5}
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id: 1546153
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 7}
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id: 1546154
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 11}
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id: 1546155
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 13}
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id: 1546156
{'charpoly_factorization': [[[-96, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 17}
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id: 1546157
{'charpoly_factorization': [[[40, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 19}
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id: 1546158
{'charpoly_factorization': [[[23, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 23}
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id: 1546159
{'charpoly_factorization': [[[231, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 29}
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id: 1546160
{'charpoly_factorization': [[[94, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 31}
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id: 1546161
{'charpoly_factorization': [[[-47, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 37}
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id: 1546162
{'charpoly_factorization': [[[27, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 41}
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id: 1546163
{'charpoly_factorization': [[[-479, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 43}
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id: 1546164
{'charpoly_factorization': [[[-423, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 47}
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id: 1546165
{'charpoly_factorization': [[[-516, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 53}
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id: 1546166
{'charpoly_factorization': [[[-882, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 59}
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id: 1546167
{'charpoly_factorization': [[[-842, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 61}
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id: 1546168
{'charpoly_factorization': [[[844, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 67}
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id: 1546169
{'charpoly_factorization': [[[-654, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 71}
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id: 1546170
{'charpoly_factorization': [[[496, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 73}
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id: 1546171
{'charpoly_factorization': [[[-260, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 79}
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id: 1546172
{'charpoly_factorization': [[[156, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 83}
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id: 1546173
{'charpoly_factorization': [[[414, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 89}
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id: 1546174
{'charpoly_factorization': [[[-1343, 1], 1]], 'hecke_orbit_code': 4503599694480326, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '966.4.a.b', 'level': 966, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 73033000
{'hecke_orbit_code': 4503599694480326, 'n': 1, 'trace_an': 1}
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id: 73033001
{'hecke_orbit_code': 4503599694480326, 'n': 2, 'trace_an': 2}
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id: 73033002
{'hecke_orbit_code': 4503599694480326, 'n': 3, 'trace_an': -3}
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id: 73033003
{'hecke_orbit_code': 4503599694480326, 'n': 4, 'trace_an': 4}
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id: 73033004
{'hecke_orbit_code': 4503599694480326, 'n': 5, 'trace_an': -9}
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id: 73033005
{'hecke_orbit_code': 4503599694480326, 'n': 6, 'trace_an': -6}
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id: 73033006
{'hecke_orbit_code': 4503599694480326, 'n': 7, 'trace_an': 7}
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id: 73033007
{'hecke_orbit_code': 4503599694480326, 'n': 8, 'trace_an': 8}
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id: 73033008
{'hecke_orbit_code': 4503599694480326, 'n': 9, 'trace_an': 9}
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id: 73033009
{'hecke_orbit_code': 4503599694480326, 'n': 10, 'trace_an': -18}
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id: 73033010
{'hecke_orbit_code': 4503599694480326, 'n': 11, 'trace_an': -12}
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id: 73033011
{'hecke_orbit_code': 4503599694480326, 'n': 12, 'trace_an': -12}
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