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{'Nk2': 26208, 'analytic_conductor': 96.64512858940313, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, 1], [13, 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': [1638, 1, [911, 703, 379], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 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, [-3, 1]], [11, [-23, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996340815462, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1638.4.a.k', 'level': 1638, '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': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '1638.4.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{2}+4q^{4}+3q^{5}-7q^{7}+8q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1638.4.a', 'trace_display': [2, 0, 3, -7], 'trace_hash': 1504023345492016114, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.043', '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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mf_newspaces • Show schema
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{'ALdims': [4, 5, 5, 4, 6, 7, 7, 6, 4, 5, 5, 4, 8, 6, 6, 8], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [64, 53, 55, 58, 54, 57, 56, 55, 56, 57, 57, 60, 52, 58, 57, 53], 'Nk2': 26208, 'analytic_conductor': 96.64512858940313, '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': [1638, 1, [911, 703, 379], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 992, 'dim': 90, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 67110502, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5], 'label': '1638.4.a', 'level': 1638, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 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mf_twists_nf • Show schema
Hide schema
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id: 780396
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '1638.4.a.k', 'source_level': 1638, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '1638.4.a.c', 'target_level': 1638, 'twist_class_label': '1638.4.a.c', 'twist_class_level': 1638, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 780397
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '1638.4.a.k', 'source_level': 1638, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '1638.4.a.k', 'target_level': 1638, 'twist_class_label': '1638.4.a.c', 'twist_class_level': 1638, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2097175
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 2}
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id: 2097176
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 3}
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id: 2097177
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 5}
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id: 2097178
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 7}
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id: 2097179
{'charpoly_factorization': [[[-23, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 11}
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id: 2097180
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 13}
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id: 2097181
{'charpoly_factorization': [[[133, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 17}
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id: 2097182
{'charpoly_factorization': [[[-103, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 19}
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id: 2097183
{'charpoly_factorization': [[[113, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 23}
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id: 2097184
{'charpoly_factorization': [[[-141, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 29}
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id: 2097185
{'charpoly_factorization': [[[90, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 31}
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id: 2097186
{'charpoly_factorization': [[[233, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 37}
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id: 2097187
{'charpoly_factorization': [[[-230, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 41}
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id: 2097188
{'charpoly_factorization': [[[337, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 43}
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id: 2097189
{'charpoly_factorization': [[[96, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 47}
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id: 2097190
{'charpoly_factorization': [[[-134, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 53}
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id: 2097191
{'charpoly_factorization': [[[838, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 59}
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id: 2097192
{'charpoly_factorization': [[[-295, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 61}
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id: 2097193
{'charpoly_factorization': [[[-468, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 67}
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id: 2097194
{'charpoly_factorization': [[[54, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 71}
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id: 2097195
{'charpoly_factorization': [[[553, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 73}
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id: 2097196
{'charpoly_factorization': [[[694, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 79}
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id: 2097197
{'charpoly_factorization': [[[-1010, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 83}
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id: 2097198
{'charpoly_factorization': [[[390, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 89}
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id: 2097199
{'charpoly_factorization': [[[102, 1], 1]], 'hecke_orbit_code': 45035996340815462, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '1638.4.a.k', 'level': 1638, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 55222813
{'hecke_orbit_code': 45035996340815462, 'n': 1, 'trace_an': 1}
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id: 55222814
{'hecke_orbit_code': 45035996340815462, 'n': 2, 'trace_an': 2}
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id: 55222815
{'hecke_orbit_code': 45035996340815462, 'n': 3, 'trace_an': 0}
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id: 55222816
{'hecke_orbit_code': 45035996340815462, 'n': 4, 'trace_an': 4}
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id: 55222817
{'hecke_orbit_code': 45035996340815462, 'n': 5, 'trace_an': 3}
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id: 55222818
{'hecke_orbit_code': 45035996340815462, 'n': 6, 'trace_an': 0}
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id: 55222819
{'hecke_orbit_code': 45035996340815462, 'n': 7, 'trace_an': -7}
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id: 55222820
{'hecke_orbit_code': 45035996340815462, 'n': 8, 'trace_an': 8}
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id: 55222821
{'hecke_orbit_code': 45035996340815462, 'n': 9, 'trace_an': 0}
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id: 55222822
{'hecke_orbit_code': 45035996340815462, 'n': 10, 'trace_an': 6}
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id: 55222823
{'hecke_orbit_code': 45035996340815462, 'n': 11, 'trace_an': 23}
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id: 55222824
{'hecke_orbit_code': 45035996340815462, 'n': 12, 'trace_an': 0}
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id: 55222825
{'hecke_orbit_code': 45035996340815462, 'n': 13, 'trace_an': -13}
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id: 55222826
{'hecke_orbit_code': 45035996340815462, 'n': 14, 'trace_an': -14}
-
id: 55222827
{'hecke_orbit_code': 45035996340815462, 'n': 15, 'trace_an': 0}
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id: 55222828
{'hecke_orbit_code': 45035996340815462, 'n': 16, 'trace_an': 16}
-
id: 55222829
{'hecke_orbit_code': 45035996340815462, 'n': 17, 'trace_an': -133}
-
id: 55222830
{'hecke_orbit_code': 45035996340815462, 'n': 18, 'trace_an': 0}
-
id: 55222831
{'hecke_orbit_code': 45035996340815462, 'n': 19, 'trace_an': 103}
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id: 55222832
{'hecke_orbit_code': 45035996340815462, 'n': 20, 'trace_an': 12}
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id: 55222833
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