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{'Nk2': 39200, 'analytic_conductor': 144.5546795140645, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [7, 1]], 'atkin_lehner_string': '-++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2450, 1, [1177, 101], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [-50, 0, 1]], [11, [14, 1]], [19, [-2, 0, 1]], [23, [140, 1]]], 'hecke_orbit': 50, 'hecke_orbit_code': 220676381808265618, 'hecke_ring_generator_nbound': 13, '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, 7, 2, -1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2450.4.a.bx', 'level': 2450, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '98.4.a.g', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{2}+5\\beta q^{3}+4q^{4}+10\\beta q^{6}+8q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2450.4.a', 'trace_display': [4, 0, 0, 0], 'trace_hash': 1609963721587411932, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.817', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '13.308', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '123.308', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.506', 'prec': 17}, 'traces': [2, 4, 0, 8, 0, 0, 0, 16, 46, 0, -28, 0, 0, 0, 0, 32, 0, 92, 0, 0, 0, -56, -280, 0, 0, 0, 0, 0, -572, 0, 0, 64, 0, 0, 0, 184, 76, 0, -720, 0, 0, 0, 68, -112, 0, -560, 0, 0, 0, 0, -20, 0, 148, 0, 0, 0, -20, -1144, 0, 0, 0, 0, 0, 128, 0, 0, -1368, 0, 0, 0, 1176, 368, 0, 152, 0, 0, 0, -1440, 2440, 0, -1642, 0, 0, 0, 0, 136, 0, -224, 0, 0, 0, -1120, -1320, 0, 0, 0, 0, 0, -644, 0, 0, -40, 0, 0, 0, 296, 3368, 0, -1636, 0, 0, 0, 1080, -40, 0, -2288, 0, 0, 0, 0, -2270, 0, -1780, 0, 0, 0, -3440, 256, 0, 0, 0, 0, 0, -2736, 0, 0, -1656, 0, 0, 0, -7400, 2352, 0, 736, 0, 0, 0, 304, 4100, 0, -944, 0, 0, 0, 0, -2880, 0, 4880, 0, 0, 0, -3284, -6572, 0, 0, 0, 0, 0, 790, 0, 0, 272, 0, 0, 0, -448, 6140, 0, 1080, 0, 0, 0, 200, -2240, 0, -2640, 0, 0, 0, 0, 2056, 0, -9184, 0, 0, 0, -1588, 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [7, -1]], 22, 15], [[[2, -1], [5, -1], [7, -1]], 24, 10], [[[2, 1], [5, -1], [7, -1]], 27, 12], [[[2, 1], [5, 1], [7, 1]], 25, 7], [[[2, 1], [5, -1], [7, 1]], 24, 5], [[[2, -1], [5, -1], [7, 1]], 28, 4], [[[2, -1], [5, 1], [7, -1]], 26, 18], [[[2, -1], [5, 1], [7, 1]], 19, 10]], 'ALdims': [25, 22, 24, 27, 19, 26, 28, 24], 'Nk2': 39200, 'analytic_conductor': 144.5546795140645, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2450, 1, [1177, 101], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1212, 'dim': 195, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11, 19, 23], 'hecke_orbit_code': 67111314, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 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mf_twists_cc • Show schema
Hide schema
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id: 49040540
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 220676381808265618, 'source_is_minimal': False, 'source_label': '2450.4.a.bx.1.1', 'source_level': 2450, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 220676381808265618, 'target_is_minimal': False, 'target_label': '2450.4.a.bx.1.1', 'target_level': 2450, 'twist_class_label': '98.4.a.g.1.1', 'twist_class_level': 98, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 49040541
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 220676381808265618, 'source_is_minimal': False, 'source_label': '2450.4.a.bx.1.1', 'source_level': 2450, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597831331938, 'target_is_minimal': True, 'target_label': '98.4.a.g.1.2', 'target_level': 98, 'twist_class_label': '98.4.a.g.1.1', 'twist_class_level': 98, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 49040542
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 220676381808265618, 'source_is_minimal': False, 'source_label': '2450.4.a.bx.1.1', 'source_level': 2450, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 220676381808265618, 'target_is_minimal': False, 'target_label': '2450.4.a.bx.1.2', 'target_level': 2450, 'twist_class_label': '98.4.a.g.1.1', 'twist_class_level': 98, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 4}
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id: 49040543
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 220676381808265618, 'source_is_minimal': False, 'source_label': '2450.4.a.bx.1.1', 'source_level': 2450, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 144115188142965618, 'target_is_minimal': False, 'target_label': '882.4.a.bg.1.1', 'target_level': 882, 'twist_class_label': '98.4.a.g.1.1', 'twist_class_level': 98, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 49040544
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 220676381808265618, 'source_is_minimal': False, 'source_label': '2450.4.a.bx.1.1', 'source_level': 2450, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391124001552, 'target_is_minimal': False, 'target_label': '784.4.a.y.1.1', 'target_level': 784, 'twist_class_label': '98.4.a.g.1.1', 'twist_class_level': 98, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 49040545
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 220676381808265618, 'source_is_minimal': False, 'source_label': '2450.4.a.bx.1.1', 'source_level': 2450, 'target_conrey_index': 79, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525334897655906, 'target_is_minimal': False, 'target_label': '98.4.c.h.79.1', 'target_level': 98, 'twist_class_label': '98.4.a.g.1.1', 'twist_class_level': 98, 'twisting_char_label': '35.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 49040546
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 220676381808265618, 'source_is_minimal': False, 'source_label': '2450.4.a.bx.1.1', 'source_level': 2450, 'target_conrey_index': 67, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525334897655906, 'target_is_minimal': False, 'target_label': '98.4.c.h.67.1', 'target_level': 98, 'twist_class_label': '98.4.a.g.1.1', 'twist_class_level': 98, 'twisting_char_label': '35.9', 'twisting_conrey_index': 9, 'weight': 4}
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id: 49040547
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 220676381808265618, 'source_is_minimal': False, 'source_label': '2450.4.a.bx.1.1', 'source_level': 2450, 'target_conrey_index': 67, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525334897655906, 'target_is_minimal': False, 'target_label': '98.4.c.h.67.2', 'target_level': 98, 'twist_class_label': '98.4.a.g.1.1', 'twist_class_level': 98, 'twisting_char_label': '35.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 49040548
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 220676381808265618, 'source_is_minimal': False, 'source_label': '2450.4.a.bx.1.1', 'source_level': 2450, 'target_conrey_index': 79, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525334897655906, 'target_is_minimal': False, 'target_label': '98.4.c.h.79.2', 'target_level': 98, 'twist_class_label': '98.4.a.g.1.1', 'twist_class_level': 98, 'twisting_char_label': '35.24', 'twisting_conrey_index': 24, 'weight': 4}
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id: 49040549
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 220676381808265618, 'source_is_minimal': False, 'source_label': '2450.4.a.bx.1.1', 'source_level': 2450, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597831331938, 'target_is_minimal': True, 'target_label': '98.4.a.g.1.1', 'target_level': 98, 'twist_class_label': '98.4.a.g.1.1', 'twist_class_level': 98, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 4}
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id: 49040550
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 220676381808265618, 'source_is_minimal': False, 'source_label': '2450.4.a.bx.1.1', 'source_level': 2450, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 117094002695603058, 'target_is_minimal': False, 'target_label': '882.4.g.ba.361.2', 'target_level': 882, 'twist_class_label': '98.4.a.g.1.1', 'twist_class_level': 98, 'twisting_char_label': '105.44', 'twisting_conrey_index': 44, 'weight': 4}
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id: 49040551
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 220676381808265618, 'source_is_minimal': False, 'source_label': '2450.4.a.bx.1.1', 'source_level': 2450, 'target_conrey_index': 667, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 117094002695603058, 'target_is_minimal': False, 'target_label': '882.4.g.ba.667.1', 'target_level': 882, 'twist_class_label': '98.4.a.g.1.1', 'twist_class_level': 98, 'twisting_char_label': '105.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 49040552
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 220676381808265618, 'source_is_minimal': False, 'source_label': '2450.4.a.bx.1.1', 'source_level': 2450, 'target_conrey_index': 667, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 117094002695603058, 'target_is_minimal': False, 'target_label': '882.4.g.ba.667.2', 'target_level': 882, 'twist_class_label': '98.4.a.g.1.1', 'twist_class_level': 98, 'twisting_char_label': '105.74', 'twisting_conrey_index': 74, 'weight': 4}
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id: 49040553
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 220676381808265618, 'source_is_minimal': False, 'source_label': '2450.4.a.bx.1.1', 'source_level': 2450, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 117094002695603058, 'target_is_minimal': False, 'target_label': '882.4.g.ba.361.1', 'target_level': 882, 'twist_class_label': '98.4.a.g.1.1', 'twist_class_level': 98, 'twisting_char_label': '105.89', 'twisting_conrey_index': 89, 'weight': 4}
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id: 49040554
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 220676381808265618, 'source_is_minimal': False, 'source_label': '2450.4.a.bx.1.1', 'source_level': 2450, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 144115188142965618, 'target_is_minimal': False, 'target_label': '882.4.a.bg.1.2', 'target_level': 882, 'twist_class_label': '98.4.a.g.1.1', 'twist_class_level': 98, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 4}
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id: 49040555
{'conductor': 140, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 220676381808265618, 'source_is_minimal': False, 'source_label': '2450.4.a.bx.1.1', 'source_level': 2450, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 108086391124001552, 'target_is_minimal': False, 'target_label': '784.4.a.y.1.2', 'target_level': 784, 'twist_class_label': '98.4.a.g.1.1', 'twist_class_level': 98, 'twisting_char_label': '140.139', 'twisting_conrey_index': 139, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2665075
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 220676381808265618, 'p': 2}
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id: 2665076
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 220676381808265618, 'p': 3}
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id: 2665077
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 220676381808265618, 'p': 5}
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id: 2665078
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 220676381808265618, 'p': 7}
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id: 2665079
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 220676381808265618, 'p': 11}
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id: 2665080
{'charpoly_factorization': [[[-2592, 0, 1], 1]], 'hecke_orbit_code': 220676381808265618, 'p': 13}
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id: 2665081
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 220676381808265618, 'p': 17}
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id: 2665082
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 220676381808265618, 'p': 19}
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id: 2665083
{'charpoly_factorization': [[[140, 1], 2]], 'hecke_orbit_code': 220676381808265618, 'p': 23}
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id: 2665084
{'charpoly_factorization': [[[286, 1], 2]], 'hecke_orbit_code': 220676381808265618, 'p': 29}
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id: 2665085
{'charpoly_factorization': [[[-8712, 0, 1], 1]], 'hecke_orbit_code': 220676381808265618, 'p': 31}
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id: 2665086
{'charpoly_factorization': [[[-38, 1], 2]], 'hecke_orbit_code': 220676381808265618, 'p': 37}
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id: 2665087
{'charpoly_factorization': [[[-15842, 0, 1], 1]], 'hecke_orbit_code': 220676381808265618, 'p': 41}
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id: 2665088
{'charpoly_factorization': [[[-34, 1], 2]], 'hecke_orbit_code': 220676381808265618, 'p': 43}
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id: 2665089
{'charpoly_factorization': [[[-273800, 0, 1], 1]], 'hecke_orbit_code': 220676381808265618, 'p': 47}
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id: 2665090
{'charpoly_factorization': [[[-74, 1], 2]], 'hecke_orbit_code': 220676381808265618, 'p': 53}
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id: 2665091
{'charpoly_factorization': [[[-188498, 0, 1], 1]], 'hecke_orbit_code': 220676381808265618, 'p': 59}
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id: 2665092
{'charpoly_factorization': [[[-200, 0, 1], 1]], 'hecke_orbit_code': 220676381808265618, 'p': 61}
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id: 2665093
{'charpoly_factorization': [[[684, 1], 2]], 'hecke_orbit_code': 220676381808265618, 'p': 67}
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id: 2665094
{'charpoly_factorization': [[[-588, 1], 2]], 'hecke_orbit_code': 220676381808265618, 'p': 71}
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id: 2665095
{'charpoly_factorization': [[[-72962, 0, 1], 1]], 'hecke_orbit_code': 220676381808265618, 'p': 73}
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id: 2665096
{'charpoly_factorization': [[[-1220, 1], 2]], 'hecke_orbit_code': 220676381808265618, 'p': 79}
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id: 2665097
{'charpoly_factorization': [[[-178802, 0, 1], 1]], 'hecke_orbit_code': 220676381808265618, 'p': 83}
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id: 2665098
{'charpoly_factorization': [[[-381938, 0, 1], 1]], 'hecke_orbit_code': 220676381808265618, 'p': 89}
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id: 2665099
{'charpoly_factorization': [[[-2200802, 0, 1], 1]], 'hecke_orbit_code': 220676381808265618, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 50, 'label': '2450.4.a.bx', 'level': 2450, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 277404000
{'hecke_orbit_code': 220676381808265618, 'n': 1, 'trace_an': 2}
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id: 277404001
{'hecke_orbit_code': 220676381808265618, 'n': 2, 'trace_an': 4}
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id: 277404002
{'hecke_orbit_code': 220676381808265618, 'n': 3, 'trace_an': 0}
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id: 277404003
{'hecke_orbit_code': 220676381808265618, 'n': 4, 'trace_an': 8}
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id: 277404004
{'hecke_orbit_code': 220676381808265618, 'n': 5, 'trace_an': 0}
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id: 277404005
{'hecke_orbit_code': 220676381808265618, 'n': 6, 'trace_an': 0}
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id: 277404006
{'hecke_orbit_code': 220676381808265618, 'n': 7, 'trace_an': 0}
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id: 277404007
{'hecke_orbit_code': 220676381808265618, 'n': 8, 'trace_an': 16}
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id: 277404008
{'hecke_orbit_code': 220676381808265618, 'n': 9, 'trace_an': 46}
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id: 277404009
{'hecke_orbit_code': 220676381808265618, 'n': 10, 'trace_an': 0}
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id: 277404010
{'hecke_orbit_code': 220676381808265618, 'n': 11, 'trace_an': -28}
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id: 277404011
{'hecke_orbit_code': 220676381808265618, 'n': 12, 'trace_an': 0}
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id: 277404012
{'hecke_orbit_code': 220676381808265618, 'n': 13, 'trace_an': 0}
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id: 277404013
{'hecke_orbit_code': 220676381808265618, 'n': 14, 'trace_an': 0}
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id: 277404014
{'hecke_orbit_code': 220676381808265618, 'n': 15, 'trace_an': 0}
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id: 277404015
{'hecke_orbit_code': 220676381808265618, 'n': 16, 'trace_an': 32}
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id: 277404016
{'hecke_orbit_code': 220676381808265618, 'n': 17, 'trace_an': 0}
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id: 277404017
{'hecke_orbit_code': 220676381808265618, 'n': 18, 'trace_an': 92}
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id: 277404018
{'hecke_orbit_code': 220676381808265618, 'n': 19, 'trace_an': 0}
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id: 277404019
{'hecke_orbit_code': 220676381808265618, 'n': 20, 'trace_an': 0}
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id: 277404020
{'hecke_orbit_code': 220676381808265618, 'n': 21, 'trace_an': 0}
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id: 277404021
{'hecke_orbit_code': 220676381808265618, 'n': 22, 'trace_an': -56}
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id: 277404022
{'hecke_orbit_code': 220676381808265618, 'n': 23, 'trace_an': -280}
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id: 277404023
{'hecke_orbit_code': 220676381808265618, 'n': 24, 'trace_an': 0}
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id: 277404024
{'hecke_orbit_code': 220676381808265618, 'n': 25, 'trace_an': 0}
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id: 277404025
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