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mf_newforms • Show schema
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{'Nk2': 2704, 'analytic_conductor': 9.971322790970163, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [169, 3, [2], [2]], 'cm_discs': [], 'conrey_index': 22, 'conrey_indexes': [22, 146], 'dim': 4, 'field_disc': 2601, 'field_disc_factorization': [[3, 2], [17, 2]], 'field_poly': [16, 4, 5, -1, 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': [[2, [16, 4, 5, -1, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532534152396969, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 3, 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': '169.4.c.j', 'level': 169, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [13], 'level_radical': 13, 'minimal_twist': '13.4.a.b', 'nf_label': '4.0.2601.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{1}q^{2}+(3\\beta _{1}-4\\beta _{2})q^{3}+(4+\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '169.4.c', 'trace_display': [1, -5, 6, -9], 'trace_hash': 2079222664845026404, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.892', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.341', 'prec': 17}, {'__RealLiteral__': 0, 'data': '56.575', 'prec': 20}, {'__RealLiteral__': 0, 'data': '19.259', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2704, 'analytic_conductor': 9.971322790970163, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [169, 3, [2], [2]], 'conrey_index': 22, 'cusp_dim': 78, 'dim': 66, 'eis_dim': 28, 'eis_new_dim': 20, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 137506062505, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 18, 18], 'label': '169.4.c', 'level': 169, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [13], 'level_radical': 13, 'mf_dim': 106, 'mf_new_dim': 86, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 33, 'sturm_bound': 60, 'trace_bound': 3, 'trace_display': [-1, 7, -4, 35], 'traces': [66, -1, 7, -107, -4, -30, 35, 30, -204, 99, -15, -336, 0, -132, 124, -331, 59, 614, -111, 311, -206, -434, 267, -216, 58, 0, -770, 240, 169, -28, 428, -151, 361, 182, 236, 675, -417, -1192, 0, 418, 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mf_twists_cc • Show schema
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id: 46922433
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 146, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532534152396969, 'target_is_minimal': False, 'target_label': '169.4.c.j.146.2', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 46922434
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 168, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518066923438249, 'target_is_minimal': False, 'target_label': '169.4.b.f.168.4', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '13.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 46922435
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597831332009, 'target_is_minimal': False, 'target_label': '169.4.a.g.1.1', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 46922436
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 22, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021735270285481, 'target_is_minimal': False, 'target_label': '169.4.c.g.22.1', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 46922437
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 23, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518273081868457, 'target_is_minimal': False, 'target_label': '169.4.e.f.23.4', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 46922438
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 147, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273081868457, 'target_is_minimal': False, 'target_label': '169.4.e.f.147.1', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '13.6', 'twisting_conrey_index': 6, 'weight': 4}
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id: 46922439
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 147, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518273081868457, 'target_is_minimal': False, 'target_label': '169.4.e.f.147.4', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '13.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 46922440
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 23, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273081868457, 'target_is_minimal': False, 'target_label': '169.4.e.f.23.1', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 46922441
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 22, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532534152396969, 'target_is_minimal': False, 'target_label': '169.4.c.j.22.2', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 4}
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id: 46922442
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599694479373, 'target_is_minimal': True, 'target_label': '13.4.a.b.1.2', 'target_level': 13, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 4}
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id: 46922443
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 168, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518066923438249, 'target_is_minimal': False, 'target_label': '169.4.b.f.168.1', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 46922444
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 146, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021735270285481, 'target_is_minimal': False, 'target_label': '169.4.c.g.146.1', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 4}
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id: 46922445
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949220469, 'target_is_minimal': False, 'target_label': '117.4.a.d.1.1', 'target_level': 117, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '39.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 46922446
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561193732408817, 'target_is_minimal': False, 'target_label': '1521.4.a.r.1.2', 'target_level': 1521, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '39.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 46922447
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197458702544, 'target_is_minimal': False, 'target_label': '208.4.a.h.1.2', 'target_level': 208, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '52.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 46922448
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 274, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014467296067909, 'target_is_minimal': False, 'target_label': '325.4.b.e.274.1', 'target_level': 325, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '65.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 46922449
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998203961669, 'target_is_minimal': False, 'target_label': '325.4.a.f.1.1', 'target_level': 325, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '65.49', 'twisting_conrey_index': 49, 'weight': 4}
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id: 46922450
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 274, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014467296067909, 'target_is_minimal': False, 'target_label': '325.4.b.e.274.4', 'target_level': 325, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '65.62', 'twisting_conrey_index': 62, 'weight': 4}
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id: 46922451
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599694479997, 'target_is_minimal': False, 'target_label': '637.4.a.b.1.2', 'target_level': 637, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '91.62', 'twisting_conrey_index': 62, 'weight': 4}
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id: 46922452
{'conductor': 104, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990751372096, 'target_is_minimal': False, 'target_label': '832.4.a.z.1.1', 'target_level': 832, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '104.75', 'twisting_conrey_index': 75, 'weight': 4}
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id: 46922453
{'conductor': 104, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064793359778624, 'target_is_minimal': False, 'target_label': '832.4.a.s.1.2', 'target_level': 832, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '104.101', 'twisting_conrey_index': 101, 'weight': 4}
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id: 46922454
{'conductor': 143, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694480933, 'target_is_minimal': False, 'target_label': '1573.4.a.b.1.1', 'target_level': 1573, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '143.10', 'twisting_conrey_index': 10, 'weight': 4}
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id: 46922455
{'conductor': 156, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 146, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532534152396969, 'source_is_minimal': False, 'source_label': '169.4.c.j.146.2', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597190006114128, 'target_is_minimal': False, 'target_label': '1872.4.a.bb.1.1', 'target_level': 1872, 'twist_class_label': '13.4.a.b.1.2', 'twist_class_level': 13, 'twisting_char_label': '156.23', 'twisting_conrey_index': 23, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 436525
{'charpoly_factorization': [[[16, 4, 5, -1, 1], 1]], 'hecke_orbit_code': 40532534152396969, 'p': 2}
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id: 436526
{'charpoly_factorization': [[[1024, -160, 57, 5, 1], 1]], 'hecke_orbit_code': 40532534152396969, 'p': 3}
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id: 436527
{'charpoly_factorization': [[[-2, -3, 1], 2]], 'hecke_orbit_code': 40532534152396969, 'p': 5}
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id: 436528
{'charpoly_factorization': [[[244036, -4446, 575, 9, 1], 1]], 'hecke_orbit_code': 40532534152396969, 'p': 7}
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id: 436529
{'charpoly_factorization': [[[976144, -79040, 5412, -80, 1], 1]], 'hecke_orbit_code': 40532534152396969, 'p': 11}
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id: 436530
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 40532534152396969, 'p': 13}
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id: 436531
{'charpoly_factorization': [[[1295044, -21622, 1499, 19, 1], 1]], 'hecke_orbit_code': 40532534152396969, 'p': 17}
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id: 436532
{'charpoly_factorization': [[[6697744, -217392, 9644, 84, 1], 1]], 'hecke_orbit_code': 40532534152396969, 'p': 19}
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id: 436533
{'charpoly_factorization': [[[80856064, 1762432, 29424, 196, 1], 1]], 'hecke_orbit_code': 40532534152396969, 'p': 23}
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id: 436534
{'charpoly_factorization': [[[1496451856, 1702096, 40620, -44, 1], 1]], 'hecke_orbit_code': 40532534152396969, 'p': 29}
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id: 436535
{'charpoly_factorization': [[[-3064, -86, 1], 2]], 'hecke_orbit_code': 40532534152396969, 'p': 31}
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id: 436536
{'charpoly_factorization': [[[116942596, -2260126, 32867, -209, 1], 1]], 'hecke_orbit_code': 40532534152396969, 'p': 37}
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id: 436537
{'charpoly_factorization': [[[124724224, 2568640, 41732, 230, 1], 1]], 'hecke_orbit_code': 40532534152396969, 'p': 41}
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id: 436538
{'charpoly_factorization': [[[4397811856, -19032692, 148685, 287, 1], 1]], 'hecke_orbit_code': 40532534152396969, 'p': 43}
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id: 436539
{'charpoly_factorization': [[[-14918, 435, 1], 2]], 'hecke_orbit_code': 40532534152396969, 'p': 47}
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id: 436540
{'charpoly_factorization': [[[-344, 118, 1], 2]], 'hecke_orbit_code': 40532534152396969, 'p': 53}
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id: 436541
{'charpoly_factorization': [[[991746064, -11589056, 166916, 368, 1], 1]], 'hecke_orbit_code': 40532534152396969, 'p': 59}
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id: 436542
{'charpoly_factorization': [[[15981005056, -133748128, 992948, -1058, 1], 1]], 'hecke_orbit_code': 40532534152396969, 'p': 61}
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id: 436543
{'charpoly_factorization': [[[51799939216, 15476528, 232220, -68, 1], 1]], 'hecke_orbit_code': 40532534152396969, 'p': 67}
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id: 436544
{'charpoly_factorization': [[[49503580036, -29146714, 239655, 131, 1], 1]], 'hecke_orbit_code': 40532534152396969, 'p': 71}
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id: 436545
{'charpoly_factorization': [[[-235316, 456, 1], 2]], 'hecke_orbit_code': 40532534152396969, 'p': 73}
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id: 436546
{'charpoly_factorization': [[[247216, 1008, 1], 2]], 'hecke_orbit_code': 40532534152396969, 'p': 79}
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id: 436547
{'charpoly_factorization': [[[817664, 1958, 1], 2]], 'hecke_orbit_code': 40532534152396969, 'p': 83}
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id: 436548
{'charpoly_factorization': [[[260316284944, -367352640, 1028612, 720, 1], 1]], 'hecke_orbit_code': 40532534152396969, 'p': 89}
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id: 436549
{'charpoly_factorization': [[[776999938576, -818009728, 1742660, 928, 1], 1]], 'hecke_orbit_code': 40532534152396969, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 10, 'label': '169.4.c.j', 'level': 169, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 208587000
{'hecke_orbit_code': 40532534152396969, 'n': 1, 'trace_an': 4}
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id: 208587001
{'hecke_orbit_code': 40532534152396969, 'n': 2, 'trace_an': 1}
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id: 208587002
{'hecke_orbit_code': 40532534152396969, 'n': 3, 'trace_an': -5}
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id: 208587003
{'hecke_orbit_code': 40532534152396969, 'n': 4, 'trace_an': 7}
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id: 208587004
{'hecke_orbit_code': 40532534152396969, 'n': 5, 'trace_an': 6}
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id: 208587005
{'hecke_orbit_code': 40532534152396969, 'n': 6, 'trace_an': -23}
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id: 208587006
{'hecke_orbit_code': 40532534152396969, 'n': 7, 'trace_an': -9}
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id: 208587007
{'hecke_orbit_code': 40532534152396969, 'n': 8, 'trace_an': 6}
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id: 208587008
{'hecke_orbit_code': 40532534152396969, 'n': 9, 'trace_an': -35}
-
id: 208587009
{'hecke_orbit_code': 40532534152396969, 'n': 10, 'trace_an': -7}
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id: 208587010
{'hecke_orbit_code': 40532534152396969, 'n': 11, 'trace_an': 80}
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id: 208587011
{'hecke_orbit_code': 40532534152396969, 'n': 12, 'trace_an': -86}
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id: 208587012
{'hecke_orbit_code': 40532534152396969, 'n': 13, 'trace_an': 0}
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id: 208587013
{'hecke_orbit_code': 40532534152396969, 'n': 14, 'trace_an': 178}
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id: 208587014
{'hecke_orbit_code': 40532534152396969, 'n': 15, 'trace_an': -33}
-
id: 208587015
{'hecke_orbit_code': 40532534152396969, 'n': 16, 'trace_an': 39}
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id: 208587016
{'hecke_orbit_code': 40532534152396969, 'n': 17, 'trace_an': -19}
-
id: 208587017
{'hecke_orbit_code': 40532534152396969, 'n': 18, 'trace_an': 220}
-
id: 208587018
{'hecke_orbit_code': 40532534152396969, 'n': 19, 'trace_an': -84}
-
id: 208587019
{'hecke_orbit_code': 40532534152396969, 'n': 20, 'trace_an': 19}
-
id: 208587020
{'hecke_orbit_code': 40532534152396969, 'n': 21, 'trace_an': 606}
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id: 208587021
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