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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': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [25, -5, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014536015544489, 'hecke_ring_generator_nbound': 3, '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.e', '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.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(5-5\\zeta_{6})q^{2}+(7-7\\zeta_{6})q^{3}-17\\zeta_{6}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '169.4.c', 'trace_display': [5, 7, -14, 13], 'trace_hash': 521447424241847438, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.972', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.182', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '115.396', 'prec': 24}], 'trace_zratio': 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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: 44217811
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 22, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014536015544489, 'target_is_minimal': False, 'target_label': '169.4.c.e.22.1', 'target_level': 169, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 44217812
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 23, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673454497961, 'target_is_minimal': False, 'target_label': '169.4.e.e.23.2', 'target_level': 169, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '13.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 44217813
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 146, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014536015544489, 'target_is_minimal': False, 'target_label': '169.4.c.e.146.1', 'target_level': 169, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 44217814
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398576591017, 'target_is_minimal': False, 'target_label': '169.4.a.e.1.1', 'target_level': 169, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 44217815
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 147, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673454497961, 'target_is_minimal': False, 'target_label': '169.4.e.e.147.1', 'target_level': 169, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 44217816
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 168, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68786585769, 'target_is_minimal': False, 'target_label': '169.4.b.a.168.2', 'target_level': 169, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '13.6', 'twisting_conrey_index': 6, 'weight': 4}
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id: 44217817
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 168, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68786585769, 'target_is_minimal': False, 'target_label': '169.4.b.a.168.1', 'target_level': 169, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '13.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 44217818
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 147, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673454497961, 'target_is_minimal': False, 'target_label': '169.4.e.e.147.2', 'target_level': 169, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 44217819
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67108877, 'target_is_minimal': True, 'target_label': '13.4.a.a.1.1', 'target_level': 13, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 4}
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id: 44217820
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 146, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137506062505, 'target_is_minimal': False, 'target_label': '169.4.c.a.146.1', 'target_level': 169, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 4}
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id: 44217821
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 23, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673454497961, 'target_is_minimal': False, 'target_label': '169.4.e.e.23.1', 'target_level': 169, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 44217822
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 22, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137506062505, 'target_is_minimal': False, 'target_label': '169.4.c.a.22.1', 'target_level': 169, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 4}
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id: 44217823
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67110385, 'target_is_minimal': False, 'target_label': '1521.4.a.a.1.1', 'target_level': 1521, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '39.17', 'twisting_conrey_index': 17, 'weight': 4}
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id: 44217824
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479477, 'target_is_minimal': False, 'target_label': '117.4.a.b.1.1', 'target_level': 117, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '39.35', 'twisting_conrey_index': 35, 'weight': 4}
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id: 44217825
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597831332048, 'target_is_minimal': False, 'target_label': '208.4.a.g.1.1', 'target_level': 208, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '52.35', 'twisting_conrey_index': 35, 'weight': 4}
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id: 44217826
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949220677, 'target_is_minimal': False, 'target_label': '325.4.a.d.1.1', 'target_level': 325, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '65.9', 'twisting_conrey_index': 9, 'weight': 4}
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id: 44217827
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 274, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668413956421, 'target_is_minimal': False, 'target_label': '325.4.b.b.274.1', 'target_level': 325, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '65.22', 'twisting_conrey_index': 22, 'weight': 4}
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id: 44217828
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 274, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668413956421, 'target_is_minimal': False, 'target_label': '325.4.b.b.274.2', 'target_level': 325, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '65.48', 'twisting_conrey_index': 48, 'weight': 4}
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id: 44217829
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67109501, 'target_is_minimal': False, 'target_label': '637.4.a.a.1.1', 'target_level': 637, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '91.48', 'twisting_conrey_index': 48, 'weight': 4}
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id: 44217830
{'conductor': 104, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67109696, 'target_is_minimal': False, 'target_label': '832.4.a.a.1.1', 'target_level': 832, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '104.35', 'twisting_conrey_index': 35, 'weight': 4}
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id: 44217831
{'conductor': 104, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193732408128, 'target_is_minimal': False, 'target_label': '832.4.a.r.1.1', 'target_level': 832, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '104.61', 'twisting_conrey_index': 61, 'weight': 4}
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id: 44217832
{'conductor': 143, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67110437, 'target_is_minimal': False, 'target_label': '1573.4.a.a.1.1', 'target_level': 1573, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '143.87', 'twisting_conrey_index': 87, 'weight': 4}
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id: 44217833
{'conductor': 156, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 22, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014536015544489, 'source_is_minimal': False, 'source_label': '169.4.c.e.22.1', 'source_level': 169, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996340815696, 'target_is_minimal': False, 'target_label': '1872.4.a.k.1.1', 'target_level': 1872, 'twist_class_label': '13.4.a.a.1.1', 'twist_class_level': 13, 'twisting_char_label': '156.35', 'twisting_conrey_index': 35, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 436400
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 18014536015544489, 'p': 2}
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id: 436401
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 18014536015544489, 'p': 3}
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id: 436402
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 18014536015544489, 'p': 5}
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id: 436403
{'charpoly_factorization': [[[169, -13, 1], 1]], 'hecke_orbit_code': 18014536015544489, 'p': 7}
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id: 436404
{'charpoly_factorization': [[[676, -26, 1], 1]], 'hecke_orbit_code': 18014536015544489, 'p': 11}
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id: 436405
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014536015544489, 'p': 13}
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id: 436406
{'charpoly_factorization': [[[5929, 77, 1], 1]], 'hecke_orbit_code': 18014536015544489, 'p': 17}
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id: 436407
{'charpoly_factorization': [[[15876, -126, 1], 1]], 'hecke_orbit_code': 18014536015544489, 'p': 19}
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id: 436408
{'charpoly_factorization': [[[9216, -96, 1], 1]], 'hecke_orbit_code': 18014536015544489, 'p': 23}
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id: 436409
{'charpoly_factorization': [[[6724, -82, 1], 1]], 'hecke_orbit_code': 18014536015544489, 'p': 29}
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id: 436410
{'charpoly_factorization': [[[-196, 1], 2]], 'hecke_orbit_code': 18014536015544489, 'p': 31}
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id: 436411
{'charpoly_factorization': [[[17161, -131, 1], 1]], 'hecke_orbit_code': 18014536015544489, 'p': 37}
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id: 436412
{'charpoly_factorization': [[[112896, 336, 1], 1]], 'hecke_orbit_code': 18014536015544489, 'p': 41}
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id: 436413
{'charpoly_factorization': [[[40401, -201, 1], 1]], 'hecke_orbit_code': 18014536015544489, 'p': 43}
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id: 436414
{'charpoly_factorization': [[[105, 1], 2]], 'hecke_orbit_code': 18014536015544489, 'p': 47}
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id: 436415
{'charpoly_factorization': [[[432, 1], 2]], 'hecke_orbit_code': 18014536015544489, 'p': 53}
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id: 436416
{'charpoly_factorization': [[[86436, -294, 1], 1]], 'hecke_orbit_code': 18014536015544489, 'p': 59}
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id: 436417
{'charpoly_factorization': [[[3136, -56, 1], 1]], 'hecke_orbit_code': 18014536015544489, 'p': 61}
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id: 436418
{'charpoly_factorization': [[[228484, 478, 1], 1]], 'hecke_orbit_code': 18014536015544489, 'p': 67}
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id: 436419
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 18014536015544489, 'p': 71}
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id: 436420
{'charpoly_factorization': [[[-98, 1], 2]], 'hecke_orbit_code': 18014536015544489, 'p': 73}
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id: 436421
{'charpoly_factorization': [[[-1304, 1], 2]], 'hecke_orbit_code': 18014536015544489, 'p': 79}
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id: 436422
{'charpoly_factorization': [[[308, 1], 2]], 'hecke_orbit_code': 18014536015544489, 'p': 83}
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id: 436423
{'charpoly_factorization': [[[1416100, -1190, 1], 1]], 'hecke_orbit_code': 18014536015544489, 'p': 89}
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id: 436424
{'charpoly_factorization': [[[4900, 70, 1], 1]], 'hecke_orbit_code': 18014536015544489, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 5, 'label': '169.4.c.e', '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: 157488000
{'hecke_orbit_code': 18014536015544489, 'n': 1, 'trace_an': 2}
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id: 157488001
{'hecke_orbit_code': 18014536015544489, 'n': 2, 'trace_an': 5}
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