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mf_newforms • Show schema
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{'Nk2': 196, 'analytic_conductor': 0.3912669699042739, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 49, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 7, 'char_parity': 1, 'char_values': [49, 7, [3], [6]], 'cm_discs': [], 'conrey_index': 8, 'dim': 12, 'field_disc': 205924456521, 'field_disc_factorization': [[3, 6], [7, 10]], 'field_poly': [1, -1, 0, 1, -1, 0, 1, 0, -1, 1, 0, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 21, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -5, 52, -94, 54, 6, 7, 6, 12, 4, 3, 2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538831921, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 7, 'hecke_ring_index_factorization': [[7, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 49, 5, 1, 7, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '49.2.e.b', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'minimal_twist': '49.2.e.b', 'nf_label': '12.0.205924456521.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(\\zeta_{21}^{2}+\\zeta_{21}^{4}-\\zeta_{21}^{5}-\\zeta_{21}^{9}+\\zeta_{21}^{11})q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c7', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '49.2.e', 'trace_display': [-2, 0, -7, -7], 'trace_hash': 491881263855966725, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.407', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '420.941', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '32519.628', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, 'traces': [12, -2, 0, 2, -7, -7, -7, 6, -8, 14, -8, -14, 7, -28, -7, 16, 0, 20, -14, 7, 21, 13, -2, 0, 3, -7, 21, 14, -11, 42, -14, -24, 35, -42, 21, -13, -30, 21, 0, 0, 21, -35, 17, -6, -49, -16, -21, 0, 7, -46, 7, -7, 6, 42, -28, -14, 7, -32, 14, -28, -7, 56, 14, 14, 14, -28, 48, 56, -7, 21, -39, -4, 42, 61, 7, -28, 21, 0, -16, 42, -25, 28, -7, 42, 28, 17, 7, -11, -14, -14, -21, 16, -70, -49, -7, -70, -28, -28, -18, -10, -21, -42, 14, -14, -14, 6, 5, 7, -1, -21, -14, -7, -18, 28, 28, -10, 28, 14, 21, 14, 32, -35, -7, 14, 77, 21, -39, 20, 28, 42, -42, 21, -28, 41, 14, 42, -50, -21, 14, -49, 35, 17, -14, 36, 7, -14, 28, -68, 33, 0, -8, -7, -56, 35, 28, -7, -7, 19, 42, 7, -21, 45, 19, -28, 42, -14, 49, 0, 19, -56, 49, -10, -7, -28, -21, 22, -14, -70, 6, 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mf_hecke_cc • Show schema
Hide schema
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-
mf_newspaces • Show schema
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{'Nk2': 196, 'analytic_conductor': 0.3912669699042739, 'char_conductor': 49, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 7, 'char_parity': 1, 'char_values': [49, 7, [3], [6]], 'conrey_index': 8, 'cusp_dim': 18, 'dim': 18, 'eis_dim': 12, 'eis_new_dim': 12, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461425, 'hecke_orbit_dims': [6, 12], 'label': '49.2.e', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'mf_dim': 30, 'mf_new_dim': 30, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 3, 'sturm_bound': 9, 'trace_bound': 1, 'trace_display': [-5, -3, -1, 0], 'traces': [18, -5, -3, -5, -1, -9, 0, 5, -14, 11, -6, -14, 7, -21, -3, 13, 4, 16, -22, 7, 21, 5, -12, 11, 14, 21, 12, 0, -27, 40, -24, -3, 41, -37, 21, 1, -26, 25, -7, -15, 21, -49, 29, -13, 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mf_twists_cc • Show schema
Hide schema
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id: 35008310
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 22, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538831921, 'source_is_minimal': True, 'source_label': '49.2.e.b.22.1', 'source_level': 49, 'target_conrey_index': 22, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831921, 'target_is_minimal': True, 'target_label': '49.2.e.b.22.1', 'target_level': 49, 'twist_class_label': '49.2.e.b.22.1', 'twist_class_level': 49, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35008311
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538831921, 'source_is_minimal': True, 'source_label': '49.2.e.b.22.1', 'source_level': 49, 'target_conrey_index': 316, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504974050460089, 'target_is_minimal': False, 'target_label': '441.2.u.b.316.2', 'target_level': 441, 'twist_class_label': '49.2.e.b.22.1', 'twist_class_level': 49, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35008312
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538831921, 'source_is_minimal': True, 'source_label': '49.2.e.b.22.1', 'source_level': 49, 'target_conrey_index': 561, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504974050460432, 'target_is_minimal': False, 'target_label': '784.2.u.b.561.1', 'target_level': 784, 'twist_class_label': '49.2.e.b.22.1', 'twist_class_level': 49, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35008313
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 22, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538831921, 'source_is_minimal': True, 'source_label': '49.2.e.b.22.1', 'source_level': 49, 'target_conrey_index': 263, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977785687, 'target_is_minimal': False, 'target_label': '343.2.g.b.263.1', 'target_level': 343, 'twist_class_label': '49.2.e.b.22.1', 'twist_class_level': 49, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35008314
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538831921, 'source_is_minimal': True, 'source_label': '49.2.e.b.22.1', 'source_level': 49, 'target_conrey_index': 275, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415191, 'target_is_minimal': False, 'target_label': '343.2.g.a.275.1', 'target_level': 343, 'twist_class_label': '49.2.e.b.22.1', 'twist_class_level': 49, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35008315
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 22, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538831921, 'source_is_minimal': True, 'source_label': '49.2.e.b.22.1', 'source_level': 49, 'target_conrey_index': 275, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511211232526679, 'target_is_minimal': False, 'target_label': '343.2.g.d.275.1', 'target_level': 343, 'twist_class_label': '49.2.e.b.22.1', 'twist_class_level': 49, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35008316
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538831921, 'source_is_minimal': True, 'source_label': '49.2.e.b.22.1', 'source_level': 49, 'target_conrey_index': 263, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156183, 'target_is_minimal': False, 'target_label': '343.2.g.c.263.1', 'target_level': 343, 'twist_class_label': '49.2.e.b.22.1', 'twist_class_level': 49, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35008317
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538831921, 'source_is_minimal': True, 'source_label': '49.2.e.b.22.1', 'source_level': 49, 'target_conrey_index': 148, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832215, 'target_is_minimal': False, 'target_label': '343.2.e.b.148.1', 'target_level': 343, 'twist_class_label': '49.2.e.b.22.1', 'twist_class_level': 49, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 35008318
{'conductor': 49, 'degree': 12, 'order': 42, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538831921, 'source_is_minimal': True, 'source_label': '49.2.e.b.22.1', 'source_level': 49, 'target_conrey_index': 116, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415191, 'target_is_minimal': False, 'target_label': '343.2.g.a.116.1', 'target_level': 343, 'twist_class_label': '49.2.e.b.22.1', 'twist_class_level': 49, 'twisting_char_label': '49.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 35008319
{'conductor': 49, 'degree': 6, 'order': 7, 'parity': 1, 'source_conrey_index': 22, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538831921, 'source_is_minimal': True, 'source_label': '49.2.e.b.22.1', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007199288297825, 'target_is_minimal': False, 'target_label': '2401.2.a.c.1.6', 'target_level': 2401, 'twist_class_label': '49.2.e.b.22.1', 'twist_class_level': 49, 'twisting_char_label': '49.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 35008320
{'conductor': 49, 'degree': 12, 'order': 42, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538831921, 'source_is_minimal': True, 'source_label': '49.2.e.b.22.1', 'source_level': 49, 'target_conrey_index': 30, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156183, 'target_is_minimal': False, 'target_label': '343.2.g.c.30.1', 'target_level': 343, 'twist_class_label': '49.2.e.b.22.1', 'twist_class_level': 49, 'twisting_char_label': '49.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 35008321
{'conductor': 49, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538831921, 'source_is_minimal': True, 'source_label': '49.2.e.b.22.1', 'source_level': 49, 'target_conrey_index': 197, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832215, 'target_is_minimal': False, 'target_label': '343.2.e.b.197.1', 'target_level': 343, 'twist_class_label': '49.2.e.b.22.1', 'twist_class_level': 49, 'twisting_char_label': '49.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 35008322
{'conductor': 49, 'degree': 6, 'order': 7, 'parity': 1, 'source_conrey_index': 22, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538831921, 'source_is_minimal': True, 'source_label': '49.2.e.b.22.1', 'source_level': 49, 'target_conrey_index': 29, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831921, 'target_is_minimal': True, 'target_label': '49.2.e.b.29.1', 'target_level': 49, 'twist_class_label': '49.2.e.b.22.1', 'twist_class_level': 49, 'twisting_char_label': '49.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 35008323
{'conductor': 49, 'degree': 12, 'order': 21, 'parity': 1, 'source_conrey_index': 22, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538831921, 'source_is_minimal': True, 'source_label': '49.2.e.b.22.1', 'source_level': 49, 'target_conrey_index': 30, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977785687, 'target_is_minimal': False, 'target_label': '343.2.g.b.30.1', 'target_level': 343, 'twist_class_label': '49.2.e.b.22.1', 'twist_class_level': 49, 'twisting_char_label': '49.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 35008324
{'conductor': 49, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538831921, 'source_is_minimal': True, 'source_label': '49.2.e.b.22.1', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13510798915668321, 'target_is_minimal': False, 'target_label': '2401.2.a.d.1.6', 'target_level': 2401, 'twist_class_label': '49.2.e.b.22.1', 'twist_class_level': 49, 'twisting_char_label': '49.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 35008325
{'conductor': 49, 'degree': 12, 'order': 21, 'parity': 1, 'source_conrey_index': 22, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538831921, 'source_is_minimal': True, 'source_label': '49.2.e.b.22.1', 'source_level': 49, 'target_conrey_index': 116, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511211232526679, 'target_is_minimal': False, 'target_label': '343.2.g.d.116.1', 'target_level': 343, 'twist_class_label': '49.2.e.b.22.1', 'twist_class_level': 49, 'twisting_char_label': '49.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 35008326
{'conductor': 147, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538831921, 'source_is_minimal': True, 'source_label': '49.2.e.b.22.1', 'source_level': 49, 'target_conrey_index': 127, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504974050460089, 'target_is_minimal': False, 'target_label': '441.2.u.b.127.2', 'target_level': 441, 'twist_class_label': '49.2.e.b.22.1', 'twist_class_level': 49, 'twisting_char_label': '147.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 35008327
{'conductor': 196, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538831921, 'source_is_minimal': True, 'source_label': '49.2.e.b.22.1', 'source_level': 49, 'target_conrey_index': 225, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504974050460432, 'target_is_minimal': False, 'target_label': '784.2.u.b.225.1', 'target_level': 784, 'twist_class_label': '49.2.e.b.22.1', 'twist_class_level': 49, 'twisting_char_label': '196.127', 'twisting_conrey_index': 127, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 163475
{'charpoly_factorization': [[[1, -5, 52, -94, 54, 6, 7, 6, 12, 4, 3, 2, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 2}
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id: 163476
{'charpoly_factorization': [[[49, -98, 147, 147, 0, 49, 112, -112, 42, -7, 7, 0, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 3}
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id: 163477
{'charpoly_factorization': [[[49, 196, 1029, 1911, 1715, 1029, 749, 371, 126, 56, 28, 7, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 5}
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id: 163478
{'charpoly_factorization': [[[117649, 117649, 50421, 12005, 4802, 4116, 2107, 588, 98, 35, 21, 7, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 7}
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id: 163479
{'charpoly_factorization': [[[1849, 13115, 58903, 70564, 99816, 43102, 12005, 3918, 1049, 144, 27, 8, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 11}
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id: 163480
{'charpoly_factorization': [[[49, -98, 294, -637, 882, -735, 406, -210, 147, -77, 28, -7, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 13}
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id: 163481
{'charpoly_factorization': [[[3087049, -1365189, 79821, -200116, 120050, 103488, 30933, 4256, 1519, 140, 35, 0, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 17}
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id: 163482
{'charpoly_factorization': [[[2107, 1568, -49, -210, -21, 7, 1], 2]], 'hecke_orbit_code': 4503874538831921, 'p': 19}
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id: 163483
{'charpoly_factorization': [[[1, -5, 3, -10, 243, -246, 343, -99, 54, 46, 10, 2, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 23}
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id: 163484
{'charpoly_factorization': [[[1681, 51332, 451338, -759692, 822968, -214503, 62377, 1788, 2957, 508, 75, 11, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 29}
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id: 163485
{'charpoly_factorization': [[[-8183, 7791, 1813, -574, -98, 7, 1], 2]], 'hecke_orbit_code': 4503874538831921, 'p': 31}
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id: 163486
{'charpoly_factorization': [[[295118041, 76154507, 96270828, 49677870, 12650748, 2715782, 784105, 204574, 38736, 5212, 493, 30, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 37}
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id: 163487
{'charpoly_factorization': [[[10413529, 9171134, 7110831, -1782228, 923748, -315364, 99043, -41552, 15120, -1568, 196, -21, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 41}
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id: 163488
{'charpoly_factorization': [[[200307409, 20988899, 232868670, -86491919, 29767569, -2984424, 854119, -50250, -7683, 977, 82, -17, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 43}
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id: 163489
{'charpoly_factorization': [[[3021810841, -1423364103, -222607392, 87256309, 99204665, 25115538, 4568823, 527212, 63721, 5425, 350, 21, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 47}
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id: 163490
{'charpoly_factorization': [[[2985984, 1492992, 4478976, 4105728, 2426112, 756864, 157248, 21600, 2736, 144, -36, -6, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 53}
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id: 163491
{'charpoly_factorization': [[[54125449, -29096935, 15223761, -4564742, 1498371, -194040, -2975, 5061, 126, -364, 112, -14, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 59}
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id: 163492
{'charpoly_factorization': [[[261242569, -204672069, 50009106, -8810641, 8613955, -1702358, 354039, -95480, 14147, -455, 140, 7, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 61}
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id: 163493
{'charpoly_factorization': [[[-293, 1486, -1886, 71, 142, -24, 1], 2]], 'hecke_orbit_code': 4503874538831921, 'p': 67}
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id: 163494
{'charpoly_factorization': [[[312925003609, 180407210691, 48568012464, 8445075811, 1207844693, 163533123, 21143409, 2443507, 236029, 17644, 1013, 39, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 71}
-
id: 163495
{'charpoly_factorization': [[[460917961, -251122893, 178502492, -93821770, 35843500, -11074882, 2884791, -603960, 95984, -10990, 861, -42, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 73}
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id: 163496
{'charpoly_factorization': [[[-21629, 1933, 3480, -447, -97, 8, 1], 2]], 'hecke_orbit_code': 4503874538831921, 'p': 79}
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id: 163497
{'charpoly_factorization': [[[118178641, 39189955, 266644770, -89724537, 34397951, 249312, 327677, 214004, 13755, -2821, -14, 7, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 83}
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id: 163498
{'charpoly_factorization': [[[89755965649, 30272374685, 9958060770, 2513769531, 482009423, 61622694, 5052698, 146125, -12642, -1589, 70, 14, 1], 1]], 'hecke_orbit_code': 4503874538831921, 'p': 89}
-
id: 163499
{'charpoly_factorization': [[[18571, 9898, -1911, -966, -28, 14, 1], 2]], 'hecke_orbit_code': 4503874538831921, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '49.2.e.b', 'level': 49, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 21958357
{'hecke_orbit_code': 4503874538831921, 'n': 1, 'trace_an': 12}
-
id: 21958358
{'hecke_orbit_code': 4503874538831921, 'n': 2, 'trace_an': -2}
-
id: 21958359
{'hecke_orbit_code': 4503874538831921, 'n': 3, 'trace_an': 0}
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id: 21958360
{'hecke_orbit_code': 4503874538831921, 'n': 4, 'trace_an': 2}
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id: 21958361
{'hecke_orbit_code': 4503874538831921, 'n': 5, 'trace_an': -7}
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id: 21958362
{'hecke_orbit_code': 4503874538831921, 'n': 6, 'trace_an': -7}
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id: 21958363
{'hecke_orbit_code': 4503874538831921, 'n': 7, 'trace_an': -7}
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id: 21958364
{'hecke_orbit_code': 4503874538831921, 'n': 8, 'trace_an': 6}
-
id: 21958365
{'hecke_orbit_code': 4503874538831921, 'n': 9, 'trace_an': -8}
-
id: 21958366
{'hecke_orbit_code': 4503874538831921, 'n': 10, 'trace_an': 14}
-
id: 21958367
{'hecke_orbit_code': 4503874538831921, 'n': 11, 'trace_an': -8}
-
id: 21958368
{'hecke_orbit_code': 4503874538831921, 'n': 12, 'trace_an': -14}
-
id: 21958369
{'hecke_orbit_code': 4503874538831921, 'n': 13, 'trace_an': 7}
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id: 21958370
{'hecke_orbit_code': 4503874538831921, 'n': 14, 'trace_an': -28}
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id: 21958371
{'hecke_orbit_code': 4503874538831921, 'n': 15, 'trace_an': -7}
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id: 21958372
{'hecke_orbit_code': 4503874538831921, 'n': 16, 'trace_an': 16}
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id: 21958373
{'hecke_orbit_code': 4503874538831921, 'n': 17, 'trace_an': 0}
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id: 21958374
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