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mf_newforms • Show schema
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{'Nk2': 4032, 'analytic_conductor': 8.048920523745062, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1008, 3, [127, 757, 785, 577], [3, 3, 2, 2]], 'cm_discs': [], 'conrey_index': 529, 'conrey_indexes': [529, 625], 'dim': 10, 'field_disc': -991381711347, 'field_disc_factorization': [[-1, 1], [3, 9], [47, 2], [151, 2]], 'field_poly': [9, -9, 36, -3, 90, -36, 40, -8, 9, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [9, -54, 378, 294, 402, 51, 79, -16, 21, -4, 1]], [11, [225, 180, 369, 60, 261, 39, 112, -2, 24, 4, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029896564147184, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 8, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1008.2.q.i', 'level': 1008, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '63.2.g.b', 'nf_label': '10.0.991381711347.1', 'prim_orbit_index': 8, 'qexp_display': 'q+\\beta _{8}q^{3}+(\\beta _{1}+\\beta _{2}+\\beta _{4})q^{5}+(1-\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1008.2.q', 'trace_display': [0, 1, 4, 4], 'trace_hash': 365681351894451401, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.086', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.359', 'prec': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 4032, 'analytic_conductor': 8.048920523745062, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1008, 3, [127, 757, 785, 577], [3, 3, 2, 2]], 'conrey_index': 529, 'cusp_dim': 360, 'dim': 92, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 1099545183216, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 6, 6, 10, 14, 22, 22], 'label': '1008.2.q', 'level': 1008, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 408, 'mf_new_dim': 100, 'num_forms': 12, 'prim_orbit_index': 8, 'relative_dim': 46, 'sturm_bound': 384, 'trace_bound': 7, 'trace_display': [0, 1, 1, 1], 'traces': [92, 0, 1, 0, 1, 0, 1, 0, -1, 0, -1, 0, -2, 0, 7, 0, -2, 0, 2, 0, -3, 0, -1, 0, -37, 0, 4, 0, -6, 0, 14, 0, 5, 0, 9, 0, -2, 0, 16, 0, -2, 0, -4, 0, 13, 0, 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mf_twists_cc • Show schema
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id: 46729083
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 529, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029896564147184, 'target_is_minimal': False, 'target_label': '1008.2.q.i.529.1', 'target_level': 1008, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46729084
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 2881, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 36029896564149200, 'target_is_minimal': False, 'target_label': '3024.2.q.i.2881.5', 'target_level': 3024, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46729085
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 25, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504080697262143, 'target_is_minimal': True, 'target_label': '63.2.h.b.25.4', 'target_level': 63, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46729086
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 961, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36030102722577392, 'target_is_minimal': False, 'target_label': '1008.2.t.i.961.4', 'target_level': 1008, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46729087
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 193, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36030102722577392, 'target_is_minimal': False, 'target_label': '1008.2.t.i.193.4', 'target_level': 1008, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46729088
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 1873, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36030102722579408, 'target_is_minimal': False, 'target_label': '3024.2.t.i.1873.1', 'target_level': 3024, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46729089
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 46, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504080697262269, 'target_is_minimal': False, 'target_label': '189.2.h.b.46.2', 'target_level': 189, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46729090
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 289, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36030102722579408, 'target_is_minimal': False, 'target_label': '3024.2.t.i.289.1', 'target_level': 3024, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46729091
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 295, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518341767791033, 'target_is_minimal': False, 'target_label': '441.2.f.f.295.2', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46729092
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 295, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014742140420537, 'target_is_minimal': False, 'target_label': '441.2.f.e.295.2', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46729093
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 79, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518410487267769, 'target_is_minimal': False, 'target_label': '441.2.g.f.79.2', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46729094
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 16, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504011977785407, 'target_is_minimal': True, 'target_label': '63.2.g.b.16.2', 'target_level': 63, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46729095
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 214, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518479206744505, 'target_is_minimal': False, 'target_label': '441.2.h.f.214.4', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 46729096
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 487, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273048314423, 'target_is_minimal': False, 'target_label': '567.2.e.f.487.2', 'target_level': 567, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46729097
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 487, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014673420943927, 'target_is_minimal': False, 'target_label': '567.2.e.e.487.4', 'target_level': 567, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46729098
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 172, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504011977785533, 'target_is_minimal': False, 'target_label': '189.2.g.b.172.4', 'target_level': 189, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46729099
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 4, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504011977785407, 'target_is_minimal': True, 'target_label': '63.2.g.b.4.2', 'target_level': 63, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 46729100
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 2305, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 36029896564149200, 'target_is_minimal': False, 'target_label': '3024.2.q.i.2305.5', 'target_level': 3024, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46729101
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 625, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029896564147184, 'target_is_minimal': False, 'target_label': '1008.2.q.i.625.1', 'target_level': 1008, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 46729102
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 883, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014742140421419, 'target_is_minimal': False, 'target_label': '1323.2.f.e.883.4', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '84.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46729103
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 100, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504011977785533, 'target_is_minimal': False, 'target_label': '189.2.g.b.100.4', 'target_level': 189, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '84.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46729104
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 667, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518410487268651, 'target_is_minimal': False, 'target_label': '1323.2.g.f.667.4', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '84.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 46729105
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 883, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518341767791915, 'target_is_minimal': False, 'target_label': '1323.2.f.f.883.4', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '84.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 46729106
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 802, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518479206745387, 'target_is_minimal': False, 'target_label': '1323.2.h.f.802.2', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 46729107
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126100789599932289, 'target_is_minimal': False, 'target_label': '3969.2.a.bc.1.2', 'target_level': 3969, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '252.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46729108
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 37, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504080697262269, 'target_is_minimal': False, 'target_label': '189.2.h.b.37.2', 'target_level': 189, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '252.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46729109
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 148, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518341767791033, 'target_is_minimal': False, 'target_label': '441.2.f.f.148.2', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '252.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 46729110
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 442, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518341767791915, 'target_is_minimal': False, 'target_label': '1323.2.f.f.442.4', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '252.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 46729111
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 148, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014742140420537, 'target_is_minimal': False, 'target_label': '441.2.f.e.148.2', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '252.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 46729112
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 163, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273048314423, 'target_is_minimal': False, 'target_label': '567.2.e.f.163.2', 'target_level': 567, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '252.79', 'twisting_conrey_index': 79, 'weight': 2}
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id: 46729113
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 442, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014742140421419, 'target_is_minimal': False, 'target_label': '1323.2.f.e.442.4', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '252.95', 'twisting_conrey_index': 95, 'weight': 2}
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id: 46729114
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 373, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518479206744505, 'target_is_minimal': False, 'target_label': '441.2.h.f.373.4', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '252.103', 'twisting_conrey_index': 103, 'weight': 2}
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id: 46729115
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 117093590345191297, 'target_is_minimal': False, 'target_label': '3969.2.a.ba.1.4', 'target_level': 3969, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '252.115', 'twisting_conrey_index': 115, 'weight': 2}
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id: 46729116
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 226, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518479206745387, 'target_is_minimal': False, 'target_label': '1323.2.h.f.226.2', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '252.131', 'twisting_conrey_index': 131, 'weight': 2}
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id: 46729117
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 67, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518410487267769, 'target_is_minimal': False, 'target_label': '441.2.g.f.67.2', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '252.139', 'twisting_conrey_index': 139, 'weight': 2}
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id: 46729118
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 112589990717820801, 'target_is_minimal': False, 'target_label': '3969.2.a.z.1.4', 'target_level': 3969, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '252.151', 'twisting_conrey_index': 151, 'weight': 2}
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id: 46729119
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 361, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518410487268651, 'target_is_minimal': False, 'target_label': '1323.2.g.f.361.4', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '252.167', 'twisting_conrey_index': 167, 'weight': 2}
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id: 46729120
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 163, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014673420943927, 'target_is_minimal': False, 'target_label': '567.2.e.e.163.4', 'target_level': 567, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '252.191', 'twisting_conrey_index': 191, 'weight': 2}
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id: 46729121
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 121597189972561793, 'target_is_minimal': False, 'target_label': '3969.2.a.bb.1.2', 'target_level': 3969, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '252.227', 'twisting_conrey_index': 227, 'weight': 2}
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id: 46729122
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 529, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029896564147184, 'source_is_minimal': False, 'source_label': '1008.2.q.i.529.1', 'source_level': 1008, 'target_conrey_index': 58, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504080697262143, 'target_is_minimal': True, 'target_label': '63.2.h.b.58.4', 'target_level': 63, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '252.247', 'twisting_conrey_index': 247, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1590500
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 36029896564147184, 'p': 2}
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id: 1590501
{'charpoly_factorization': [[[243, -81, -135, 27, 27, -9, 9, 3, -5, -1, 1], 1]], 'hecke_orbit_code': 36029896564147184, 'p': 3}
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id: 1590502
{'charpoly_factorization': [[[9, -54, 378, 294, 402, 51, 79, -16, 21, -4, 1], 1]], 'hecke_orbit_code': 36029896564147184, 'p': 5}
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id: 1590503
{'charpoly_factorization': [[[16807, -9604, 4116, -2303, 1022, -309, 146, -47, 12, -4, 1], 1]], 'hecke_orbit_code': 36029896564147184, 'p': 7}
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id: 1590504
{'charpoly_factorization': [[[225, 180, 369, 60, 261, 39, 112, -2, 24, 4, 1], 1]], 'hecke_orbit_code': 36029896564147184, 'p': 11}
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id: 1590505
{'charpoly_factorization': [[[25, -115, 594, 169, 428, 204, 296, 130, 51, 8, 1], 1]], 'hecke_orbit_code': 36029896564147184, 'p': 13}
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id: 1590506
{'charpoly_factorization': [[[81, 162, 864, -1890, 2898, -2259, 1287, -420, 99, -12, 1], 1]], 'hecke_orbit_code': 36029896564147184, 'p': 17}
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id: 1590507
{'charpoly_factorization': [[[185761, -111629, 86907, -23428, 13166, -2835, 1376, -133, 42, 1, 1], 1]], 'hecke_orbit_code': 36029896564147184, 'p': 19}
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id: 1590508
{'charpoly_factorization': [[[2595321, -1739880, 1084239, -258066, 75474, -4878, 3042, -87, 72, 3, 1], 1]], 'hecke_orbit_code': 36029896564147184, 'p': 23}
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id: 1590509
{'charpoly_factorization': [[[81, 1215, 19710, -22635, 24462, -5199, 1690, -190, 69, -7, 1], 1]], 'hecke_orbit_code': 36029896564147184, 'p': 29}
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id: 1590510
{'charpoly_factorization': [[[285, 93, -64, -21, 3, 1], 2]], 'hecke_orbit_code': 36029896564147184, 'p': 31}
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id: 1590511
{'charpoly_factorization': [[[82944, 110592, 228096, -52224, 115264, 27168, 8832, 560, 96, 0, 1], 1]], 'hecke_orbit_code': 36029896564147184, 'p': 37}
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id: 1590512
{'charpoly_factorization': [[[2025, -7695, 31536, 4761, 9900, -579, 2020, 118, 69, -5, 1], 1]], 'hecke_orbit_code': 36029896564147184, 'p': 41}
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id: 1590513
{'charpoly_factorization': [[[687241, -1214485, 1541055, -921888, 408318, -84651, 14496, -837, 138, -7, 1], 1]], 'hecke_orbit_code': 36029896564147184, 'p': 43}
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id: 1590514
{'charpoly_factorization': [[[6615, -4032, -93, 213, -27, 1], 2]], 'hecke_orbit_code': 36029896564147184, 'p': 47}
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id: 1590515
{'charpoly_factorization': [[[178929, 178929, 267759, 25380, 110088, 45693, 14238, 2415, 306, 21, 1], 1]], 'hecke_orbit_code': 36029896564147184, 'p': 53}
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id: 1590516
{'charpoly_factorization': [[[5625, -108, -1113, 306, -30, 1], 2]], 'hecke_orbit_code': 36029896564147184, 'p': 59}
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id: 1590517
{'charpoly_factorization': [[[1, -14, 7, 34, -14, 1], 2]], 'hecke_orbit_code': 36029896564147184, 'p': 61}
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id: 1590518
{'charpoly_factorization': [[[7121, 6784, -340, -203, 2, 1], 2]], 'hecke_orbit_code': 36029896564147184, 'p': 67}
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id: 1590519
{'charpoly_factorization': [[[81, 1053, 567, -168, -3, 1], 2]], 'hecke_orbit_code': 36029896564147184, 'p': 71}
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id: 1590520
{'charpoly_factorization': [[[772641, 1052163, 1048686, 533637, 211336, 34167, 5394, -784, 231, -15, 1], 1]], 'hecke_orbit_code': 36029896564147184, 'p': 73}
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id: 1590521
{'charpoly_factorization': [[[-193, -22, 224, -95, 4, 1], 2]], 'hecke_orbit_code': 36029896564147184, 'p': 79}
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id: 1590522
{'charpoly_factorization': [[[218123361, -40275063, 38540043, 11237130, 3795093, 455571, 56277, 2538, 267, 9, 1], 1]], 'hecke_orbit_code': 36029896564147184, 'p': 83}
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id: 1590523
{'charpoly_factorization': [[[7080921, -4502412, 3980484, -540030, 648528, -190791, 45157, -5740, 549, -28, 1], 1]], 'hecke_orbit_code': 36029896564147184, 'p': 89}
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id: 1590524
{'charpoly_factorization': [[[2307745521, 121346514, 94916553, 9179814, 3183925, 252807, 40326, 1958, 288, 12, 1], 1]], 'hecke_orbit_code': 36029896564147184, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 9, 'label': '1008.2.q.i', 'level': 1008, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 202486000
{'hecke_orbit_code': 36029896564147184, 'n': 1, 'trace_an': 10}
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id: 202486001
{'hecke_orbit_code': 36029896564147184, 'n': 2, 'trace_an': 0}
-
id: 202486002
{'hecke_orbit_code': 36029896564147184, 'n': 3, 'trace_an': 1}
-
id: 202486003
{'hecke_orbit_code': 36029896564147184, 'n': 4, 'trace_an': 0}
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id: 202486004
{'hecke_orbit_code': 36029896564147184, 'n': 5, 'trace_an': 4}
-
id: 202486005
{'hecke_orbit_code': 36029896564147184, 'n': 6, 'trace_an': 0}
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id: 202486006
{'hecke_orbit_code': 36029896564147184, 'n': 7, 'trace_an': 4}
-
id: 202486007
{'hecke_orbit_code': 36029896564147184, 'n': 8, 'trace_an': 0}
-
id: 202486008
{'hecke_orbit_code': 36029896564147184, 'n': 9, 'trace_an': 11}
-
id: 202486009
{'hecke_orbit_code': 36029896564147184, 'n': 10, 'trace_an': 0}
-
id: 202486010
{'hecke_orbit_code': 36029896564147184, 'n': 11, 'trace_an': -4}
-
id: 202486011
{'hecke_orbit_code': 36029896564147184, 'n': 12, 'trace_an': 0}
-
id: 202486012
{'hecke_orbit_code': 36029896564147184, 'n': 13, 'trace_an': -8}
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id: 202486013
{'hecke_orbit_code': 36029896564147184, 'n': 14, 'trace_an': 0}
-
id: 202486014
{'hecke_orbit_code': 36029896564147184, 'n': 15, 'trace_an': 19}
-
id: 202486015
{'hecke_orbit_code': 36029896564147184, 'n': 16, 'trace_an': 0}
-
id: 202486016
{'hecke_orbit_code': 36029896564147184, 'n': 17, 'trace_an': 12}
-
id: 202486017
{'hecke_orbit_code': 36029896564147184, 'n': 18, 'trace_an': 0}
-
id: 202486018
{'hecke_orbit_code': 36029896564147184, 'n': 19, 'trace_an': -1}
-
id: 202486019
{'hecke_orbit_code': 36029896564147184, 'n': 20, 'trace_an': 0}
-
id: 202486020
{'hecke_orbit_code': 36029896564147184, 'n': 21, 'trace_an': 13}
-
id: 202486021
{'hecke_orbit_code': 36029896564147184, 'n': 22, 'trace_an': 0}
-
id: 202486022
{'hecke_orbit_code': 36029896564147184, 'n': 23, 'trace_an': -3}
-
id: 202486023
{'hecke_orbit_code': 36029896564147184, 'n': 24, 'trace_an': 0}
-
id: 202486024
{'hecke_orbit_code': 36029896564147184, 'n': 25, 'trace_an': -1}
-
id: 202486025
{'hecke_orbit_code': 36029896564147184, 'n': 26, 'trace_an': 0}
-
id: 202486026
{'hecke_orbit_code': 36029896564147184, 'n': 27, 'trace_an': 7}
-
id: 202486027
{'hecke_orbit_code': 36029896564147184, 'n': 28, 'trace_an': 0}
-
id: 202486028
{'hecke_orbit_code': 36029896564147184, 'n': 29, 'trace_an': 7}
-
id: 202486029
{'hecke_orbit_code': 36029896564147184, 'n': 30, 'trace_an': 0}
-
id: 202486030
{'hecke_orbit_code': 36029896564147184, 'n': 31, 'trace_an': -6}
-
id: 202486031
{'hecke_orbit_code': 36029896564147184, 'n': 32, 'trace_an': 0}
-
id: 202486032
{'hecke_orbit_code': 36029896564147184, 'n': 33, 'trace_an': 14}
-
id: 202486033
{'hecke_orbit_code': 36029896564147184, 'n': 34, 'trace_an': 0}
-
id: 202486034
{'hecke_orbit_code': 36029896564147184, 'n': 35, 'trace_an': -5}
-
id: 202486035
{'hecke_orbit_code': 36029896564147184, 'n': 36, 'trace_an': 0}
-
id: 202486036
{'hecke_orbit_code': 36029896564147184, 'n': 37, 'trace_an': 0}
-
id: 202486037
{'hecke_orbit_code': 36029896564147184, 'n': 38, 'trace_an': 0}
-
id: 202486038
{'hecke_orbit_code': 36029896564147184, 'n': 39, 'trace_an': -2}
-
id: 202486039
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