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mf_newforms • Show schema
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{'Nk2': 124, 'analytic_conductor': 0.24753624626596918, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 31, 'char_degree': 8, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 15, 'char_parity': 1, 'char_values': [31, 15, [3], [14]], 'cm_discs': [], 'conrey_index': 7, 'dim': 16, 'field_disc': 4208972802978515625, 'field_disc_factorization': [[3, 8], [5, 12], [1621, 2]], 'field_poly': [1, 0, 44, 0, 410, 0, 956, 0, 979, 0, 511, 0, 140, 0, 19, 0, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 412350414879, '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, 31, 7, 1, 15, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '31.2.g.a', 'level': 31, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [31], 'level_radical': 31, 'minimal_twist': '31.2.g.a', 'prim_orbit_index': 7, 'qexp_display': 'q+(-1-\\beta _{1}+\\beta _{3}-\\beta _{4}+\\beta _{5}+\\beta _{6}+\\cdots)q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c15', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '31.2.g', 'trace_display': [-6, -12, -3, 2], 'trace_hash': 881561564071795418, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.476', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.467', 'prec': 17}, {'__RealLiteral__': 0, 'data': '713.801', 'prec': 24}, 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mf_hecke_cc • Show schema
Hide schema
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-
mf_newspaces • Show schema
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{'Nk2': 124, 'analytic_conductor': 0.24753624626596918, 'char_conductor': 31, 'char_degree': 8, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 15, 'char_parity': 1, 'char_values': [31, 15, [3], [14]], 'conrey_index': 7, 'cusp_dim': 16, 'dim': 16, 'eis_dim': 16, 'eis_new_dim': 16, 'hecke_cutter_primes': [], 'hecke_orbit_code': 412350414879, 'hecke_orbit_dims': [16], 'label': '31.2.g', 'level': 31, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [31], 'level_radical': 31, 'mf_dim': 32, 'mf_new_dim': 32, 'num_forms': 1, 'prim_orbit_index': 7, 'relative_dim': 2, 'sturm_bound': 5, 'trace_bound': 0, 'trace_display': [-6, -12, -3, 2], 'traces': [16, -6, -12, -14, -3, 11, 2, 17, -10, -2, -7, 5, -7, -6, 14, -2, -6, -3, 16, 37, 9, 9, 1, -20, -13, 9, 9, -30, -14, -22, 15, -42, -13, -32, -9, 1, -8, 8, -3, -1, -8, 69, 23, 39, 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mf_twists_cc • Show schema
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id: 3841257
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 19, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414879, 'target_is_minimal': True, 'target_label': '31.2.g.a.19.1', 'target_level': 31, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 3841258
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 19, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008848555737367, 'target_is_minimal': False, 'target_label': '279.2.y.c.19.2', 'target_level': 279, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3841259
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 81, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009398311551472, 'target_is_minimal': False, 'target_label': '496.2.bg.c.81.2', 'target_level': 496, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3841260
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 174, 'target_dim': 32, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4260641112839, 'target_is_minimal': False, 'target_label': '775.2.ck.a.174.4', 'target_level': 775, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3841261
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 174, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4260641112839, 'target_is_minimal': False, 'target_label': '775.2.ck.a.174.1', 'target_level': 775, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3841262
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 701, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2542654194439, 'target_is_minimal': False, 'target_label': '775.2.bl.a.701.2', 'target_level': 775, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 3841263
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 448, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568805270455233, 'target_is_minimal': False, 'target_label': '961.2.g.t.448.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3841264
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 388, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547001347802049, 'target_is_minimal': False, 'target_label': '961.2.d.n.388.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3841265
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 521, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 40532534118843329, 'target_is_minimal': False, 'target_label': '961.2.c.j.521.8', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 3841266
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 816, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036408624120769, 'target_is_minimal': False, 'target_label': '961.2.g.k.816.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 3841267
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 374, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547001347802049, 'target_is_minimal': False, 'target_label': '961.2.d.n.374.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 3841268
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 36028797052519361, 'target_is_minimal': False, 'target_label': '961.2.a.i.1.8', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 3841269
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 844, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81065205643084737, 'target_is_minimal': False, 'target_label': '961.2.g.s.844.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 3841270
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 547, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568805270455233, 'target_is_minimal': False, 'target_label': '961.2.g.t.547.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 3841271
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 846, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81065205643084737, 'target_is_minimal': False, 'target_label': '961.2.g.s.846.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 3841272
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 439, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 36028934491472833, 'target_is_minimal': False, 'target_label': '961.2.c.i.439.8', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 3841273
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 628, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 72057800229913537, 'target_is_minimal': False, 'target_label': '961.2.d.q.628.4', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 3841274
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 235, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49540008251491265, 'target_is_minimal': False, 'target_label': '961.2.g.l.235.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 3841275
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 531, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 67554200602543041, 'target_is_minimal': False, 'target_label': '961.2.d.p.531.4', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 3841276
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 338, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532808996750273, 'target_is_minimal': False, 'target_label': '961.2.g.j.338.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 3841277
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 338, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036408624120769, 'target_is_minimal': False, 'target_label': '961.2.g.k.338.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 3841278
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 531, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 72057800229913537, 'target_is_minimal': False, 'target_label': '961.2.d.q.531.4', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 3841279
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 18, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414879, 'target_is_minimal': True, 'target_label': '31.2.g.a.18.1', 'target_level': 31, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 3841280
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 628, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 67554200602543041, 'target_is_minimal': False, 'target_label': '961.2.d.p.628.4', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 3841281
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 439, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 40532534118843329, 'target_is_minimal': False, 'target_label': '961.2.c.j.439.8', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 3841282
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 846, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043607878861761, 'target_is_minimal': False, 'target_label': '961.2.g.m.846.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 3841283
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 547, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547207506232257, 'target_is_minimal': False, 'target_label': '961.2.g.n.547.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 3841284
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 844, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043607878861761, 'target_is_minimal': False, 'target_label': '961.2.g.m.844.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 3841285
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 40532396679889857, 'target_is_minimal': False, 'target_label': '961.2.a.j.1.8', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 3841286
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 374, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050600975172545, 'target_is_minimal': False, 'target_label': '961.2.d.o.374.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 3841287
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 816, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532808996750273, 'target_is_minimal': False, 'target_label': '961.2.g.j.816.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 3841288
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 521, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 36028934491472833, 'target_is_minimal': False, 'target_label': '961.2.c.i.521.8', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 3841289
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 388, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050600975172545, 'target_is_minimal': False, 'target_label': '961.2.d.o.388.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 3841290
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 448, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547207506232257, 'target_is_minimal': False, 'target_label': '961.2.g.n.448.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 3841291
{'conductor': 31, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 732, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49540008251491265, 'target_is_minimal': False, 'target_label': '961.2.g.l.732.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '31.30', 'twisting_conrey_index': 30, 'weight': 2}
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id: 3841292
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 139611588482048457, 'target_is_minimal': False, 'target_label': '8649.2.a.bf.1.1', 'target_level': 8649, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '93.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 3841293
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 235, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008848555737367, 'target_is_minimal': False, 'target_label': '279.2.y.c.235.2', 'target_level': 279, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '93.80', 'twisting_conrey_index': 80, 'weight': 2}
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id: 3841294
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 135107988854677961, 'target_is_minimal': False, 'target_label': '8649.2.a.be.1.1', 'target_level': 8649, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '93.86', 'twisting_conrey_index': 86, 'weight': 2}
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id: 3841295
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 49, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009398311551472, 'target_is_minimal': False, 'target_label': '496.2.bg.c.49.2', 'target_level': 496, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '124.111', 'twisting_conrey_index': 111, 'weight': 2}
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id: 3841296
{'conductor': 155, 'degree': 16, 'order': 60, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 49, 'target_dim': 32, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4260641112839, 'target_is_minimal': False, 'target_label': '775.2.ck.a.49.4', 'target_level': 775, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '155.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 3841297
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 576, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2542654194439, 'target_is_minimal': False, 'target_label': '775.2.bl.a.576.2', 'target_level': 775, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '155.49', 'twisting_conrey_index': 49, 'weight': 2}
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id: 3841298
{'conductor': 155, 'degree': 16, 'order': 60, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414879, 'source_is_minimal': True, 'source_label': '31.2.g.a.19.1', 'source_level': 31, 'target_conrey_index': 49, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4260641112839, 'target_is_minimal': False, 'target_label': '775.2.ck.a.49.1', 'target_level': 775, 'twist_class_label': '31.2.g.a.18.1', 'twist_class_level': 31, 'twisting_char_label': '155.142', 'twisting_conrey_index': 142, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 114325
{'charpoly_factorization': [[[81, 324, 459, -216, 576, 1062, 1656, 1797, 1957, 1468, 1011, 523, 246, 91, 29, 6, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 2}
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id: 114326
{'charpoly_factorization': [[[961, 7068, 21989, 38859, 45837, 41628, 33043, 24459, 17306, 11361, 6433, 2967, 1092, 321, 74, 12, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 3}
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id: 114327
{'charpoly_factorization': [[[77841, 170748, 358641, 264222, 286866, 136584, 145524, 52026, 36937, 9366, 5944, 1239, 576, 72, 31, 3, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 5}
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id: 114328
{'charpoly_factorization': [[[68121, -251343, 433404, -389529, 153882, 21447, -60867, 34596, -4334, -4566, 3353, -167, -93, 34, -6, -2, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 7}
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id: 114329
{'charpoly_factorization': [[[77841, 449469, 1167237, 1808190, 1863765, 1357641, 739071, 306225, 86209, 8330, -4106, -2072, -390, -40, 13, 7, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 11}
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id: 114330
{'charpoly_factorization': [[[77841, -881361, 3151062, -1391850, 493245, -231579, -47919, -9690, 20059, 4050, -451, 73, -195, -50, 18, 7, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 13}
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id: 114331
{'charpoly_factorization': [[[74805201, 135131976, 70913151, -9214533, -20522988, -3532239, 3381567, 1540602, 275371, 5912, -19503, -6979, -63, 2, 41, 6, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 17}
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id: 114332
{'charpoly_factorization': [[[361201, -933353, 121928, 911720, 107895, -568187, 71044, 72260, 52534, -79075, 45106, -17674, 4955, -1005, 157, -16, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 19}
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id: 114333
{'charpoly_factorization': [[[77841, -27621, 221130, -482760, 561960, 1177317, 991968, -599310, 258445, -91020, 37718, -7723, 1680, -310, 60, -1, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 23}
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id: 114334
{'charpoly_factorization': [[[77841, -883872, 3623319, 4318758, 5548428, 3992868, 3122946, 1365609, 707773, 2848, 13939, 12869, 5748, 1141, 181, 14, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 29}
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id: 114335
{'charpoly_factorization': [[[852891037441, -412689211665, 140225581598, -46808661885, 12733507548, -2960927490, 661505311, -133678200, 24371915, -4312200, 688351, -99390, 13788, -1635, 158, -15, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 31}
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id: 114336
{'charpoly_factorization': [[[344807761, 1215563878, 4527747446, -158428158, 1409594951, 346528319, 277619329, 46820571, 20869117, 3571101, 1088869, 128479, 20471, 1242, 176, 8, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 37}
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id: 114337
{'charpoly_factorization': [[[81, 1377, 12474, 41256, 80847, 110817, -255102, -583269, 1009576, 138939, -14332, -14527, -543, 74, 24, 8, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 41}
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id: 114338
{'charpoly_factorization': [[[7612081, 52975559, 228201527, 814057510, 784151645, -1703962259, 1040373291, -335926675, 63545739, -6434660, 134904, 60188, -6430, -430, 203, -23, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 43}
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id: 114339
{'charpoly_factorization': [[[3306365001, -4369845996, 3685168494, -2392720506, 3315570876, -162124668, 239117571, -22382208, 7964842, -794482, 189676, -31622, 6981, -769, 124, -14, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 47}
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id: 114340
{'charpoly_factorization': [[[366207732801, -91711239201, -445529079, 7656192738, -2622043143, -251413146, 981605547, -558518247, 155526156, -24121152, 2038662, -71766, -1278, 603, -69, -6, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 53}
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id: 114341
{'charpoly_factorization': [[[167728401, -930024261, 2517526899, -3585893571, 2755747881, -1116660393, 278477391, -46766253, -4867133, 1999413, 740606, 19328, -10344, 191, 39, -4, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 59}
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id: 114342
{'charpoly_factorization': [[[38161, 31425, -7053, -11295, -1591, 855, 288, 30, 1], 2]], 'hecke_orbit_code': 412350414879, 'p': 61}
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id: 114343
{'charpoly_factorization': [[[7485883441, 12302334469, 24095669462, -825845775, 6283805060, 619634861, 968412901, -3609120, 44237164, -1954980, 1582339, -90377, 25715, -1215, 278, -13, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 67}
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id: 114344
{'charpoly_factorization': [[[214944921, 751317606, 1213526934, 1300605741, 1084306581, 704589408, 336930426, 115250643, 28094137, 4726947, 489746, 9032, -5559, -571, 54, 14, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 71}
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id: 114345
{'charpoly_factorization': [[[17441907675201, 5777484622731, -414865512693, 83971435995, -18297810810, -27314967861, 4796602581, -565298085, 153857104, -6608985, -329281, -287393, 29370, 1990, -132, -2, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 73}
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id: 114346
{'charpoly_factorization': [[[84609661119201, 30606997844844, 2724585336027, -501837917850, 184597920495, 91619946846, -1496728314, -1419091350, 116774239, -12085930, 727764, 222098, -3480, -760, 68, -18, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 79}
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id: 114347
{'charpoly_factorization': [[[1446653267361, 29811832434, 13126123170054, -8323756330311, 1152938790711, 153588916962, 37835249526, -14048403843, 147595087, 70689353, 5596636, -14762, -37239, -4444, 19, 16, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 83}
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id: 114348
{'charpoly_factorization': [[[117957215601, 14623714971, 36524826639, 4144588911, 5138578341, 954917388, 364745286, 148772748, 75648667, 21636982, 4432966, 472472, 22521, -1181, 109, -1, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 89}
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id: 114349
{'charpoly_factorization': [[[7131992195241, -8735669543583, 4668327599346, -577151681967, 314343923886, 27069810066, 14261276064, 923423649, 128632882, -6270766, 4350864, 145946, 27081, 1913, 281, -3, 1], 1]], 'hecke_orbit_code': 412350414879, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 1, 'label': '31.2.g.a', 'level': 31, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 8736462
{'hecke_orbit_code': 412350414879, 'n': 1, 'trace_an': 16}
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id: 8736463
{'hecke_orbit_code': 412350414879, 'n': 2, 'trace_an': -6}
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id: 8736464
{'hecke_orbit_code': 412350414879, 'n': 3, 'trace_an': -12}
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id: 8736465
{'hecke_orbit_code': 412350414879, 'n': 4, 'trace_an': -14}
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id: 8736466
{'hecke_orbit_code': 412350414879, 'n': 5, 'trace_an': -3}
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id: 8736467
{'hecke_orbit_code': 412350414879, 'n': 6, 'trace_an': 11}
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id: 8736468
{'hecke_orbit_code': 412350414879, 'n': 7, 'trace_an': 2}
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id: 8736469
{'hecke_orbit_code': 412350414879, 'n': 8, 'trace_an': 17}
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id: 8736470
{'hecke_orbit_code': 412350414879, 'n': 9, 'trace_an': -10}
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id: 8736471
{'hecke_orbit_code': 412350414879, 'n': 10, 'trace_an': -2}
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id: 8736472
{'hecke_orbit_code': 412350414879, 'n': 11, 'trace_an': -7}
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id: 8736473
{'hecke_orbit_code': 412350414879, 'n': 12, 'trace_an': 5}
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id: 8736474
{'hecke_orbit_code': 412350414879, 'n': 13, 'trace_an': -7}
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id: 8736475
{'hecke_orbit_code': 412350414879, 'n': 14, 'trace_an': -6}
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id: 8736476
{'hecke_orbit_code': 412350414879, 'n': 15, 'trace_an': 14}
-
id: 8736477
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id: 8736689
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id: 8736690
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id: 8736691
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id: 8736692
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id: 8736693
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id: 8736694
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id: 8736695
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id: 8736696
{'hecke_orbit_code': 412350414879, 'n': 841, 'trace_an': -50}
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id: 8736697
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id: 8736698
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id: 8736699
{'hecke_orbit_code': 412350414879, 'n': 859, 'trace_an': 88}
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id: 8736700
{'hecke_orbit_code': 412350414879, 'n': 863, 'trace_an': 43}
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id: 8736701
{'hecke_orbit_code': 412350414879, 'n': 877, 'trace_an': 202}
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id: 8736702
{'hecke_orbit_code': 412350414879, 'n': 881, 'trace_an': -9}
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id: 8736703
{'hecke_orbit_code': 412350414879, 'n': 883, 'trace_an': -247}
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id: 8736704
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id: 8736705
{'hecke_orbit_code': 412350414879, 'n': 907, 'trace_an': 69}
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id: 8736706
{'hecke_orbit_code': 412350414879, 'n': 911, 'trace_an': 200}
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id: 8736707
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id: 8736708
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id: 8736709
{'hecke_orbit_code': 412350414879, 'n': 937, 'trace_an': 134}
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id: 8736710
{'hecke_orbit_code': 412350414879, 'n': 941, 'trace_an': 75}
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id: 8736711
{'hecke_orbit_code': 412350414879, 'n': 947, 'trace_an': -17}
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id: 8736712
{'hecke_orbit_code': 412350414879, 'n': 953, 'trace_an': 32}
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id: 8736713
{'hecke_orbit_code': 412350414879, 'n': 961, 'trace_an': -91}
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id: 8736714
{'hecke_orbit_code': 412350414879, 'n': 967, 'trace_an': -77}
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id: 8736715
{'hecke_orbit_code': 412350414879, 'n': 971, 'trace_an': -252}
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id: 8736716
{'hecke_orbit_code': 412350414879, 'n': 977, 'trace_an': 133}
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id: 8736717
{'hecke_orbit_code': 412350414879, 'n': 983, 'trace_an': -105}
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id: 8736718
{'hecke_orbit_code': 412350414879, 'n': 991, 'trace_an': 4}
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id: 8736719
{'hecke_orbit_code': 412350414879, 'n': 997, 'trace_an': -29}