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{'Nk2': 33800, 'analytic_conductor': 67.47358970798193, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, -1], [13, 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': [8450, 1, [677, 3551], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 9, 'field_disc': 598650818752, 'field_disc_factorization': [[2, 6], [7, 6], [43, 3]], 'field_poly': [-1, 8, 26, -33, -69, 53, 17, -14, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [1, -14, -21, 111, -49, -70, 40, 7, -7, 1]], [7, [104, -80, -380, -24, 310, 108, -55, -26, 1, 1]], [11, [1688, 3900, -2084, -3185, 938, 672, -126, -45, 4, 1]], [17, [28664, -72684, 26144, 17737, -7138, -994, 552, -11, -12, 1]], [31, [-3017216, -831872, 1037568, -64200, -58096, 6852, 1052, -152, -6, 1]]], 'hecke_orbit': 75, 'hecke_orbit_code': 333266372458979586, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8450.2.a.cw', 'level': 8450, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'minimal_twist': '1690.2.b.f', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+(1+\\beta _{4})q^{3}+q^{4}+(-1-\\beta _{4}+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8450.2.a', 'trace_display': [-9, 7, 0, -1], 'trace_hash': 1902672949994805082, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.167', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.917', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.061', 'prec': 17}, {'__RealLiteral__': 0, 'data': '180.116', 'prec': 24}, {'__RealLiteral__': 0, 'data': '166.485', 'prec': 24}, {'__RealLiteral__': 0, 'data': '6112.375', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [9, -9, 7, 9, 0, -7, -1, -9, 8, 0, -4, 7, 0, 1, 0, 9, 12, -8, -6, 0, -8, 4, 11, -7, 0, 0, 34, -1, 15, 0, 6, -9, 14, -12, 0, 8, 10, 6, 0, 0, -27, 8, 41, -4, 0, -11, -5, 7, -10, 0, 12, 0, 18, -34, 0, 1, 12, -15, -20, 0, -19, -6, -39, 9, 0, -14, 1, 12, -14, 0, 10, -8, 12, -10, 0, -6, 30, 0, -14, 0, 53, 27, -1, -8, 0, -41, 33, 4, -43, 0, 0, 11, 28, 5, 0, -7, -6, 10, -16, 0, -7, -12, 69, 0, 0, -18, 0, 34, -9, 0, 62, -1, 22, -12, 0, 15, 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-
mf_newspaces • Show schema
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{'ALdims': [24, 33, 34, 31, 35, 24, 27, 37], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [20, 21, 21, 21, 21, 21, 21, 21], 'ALdims_old': [129, 134, 132, 123, 128, 133, 129, 128], 'Nk2': 33800, 'analytic_conductor': 67.47358970798193, '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': [8450, 1, [677, 3551], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1281, 'dim': 245, 'eis_dim': 167, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 17, 31], 'hecke_orbit_code': 33562882, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], 'label': '8450.2.a', 'level': 8450, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 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mf_twists_cc • Show schema
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id: 49144508
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 4, 'source_hecke_orbit_code': 333266372458979586, 'source_is_minimal': False, 'source_label': '8450.2.a.cw.1.4', 'source_level': 8450, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 4, 'target_hecke_orbit_code': 333266372458979586, 'target_is_minimal': False, 'target_label': '8450.2.a.cw.1.4', 'target_level': 8450, 'twist_class_label': '1690.2.b.f.339.6', 'twist_class_level': 1690, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49144509
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 4, 'source_hecke_orbit_code': 333266372458979586, 'source_is_minimal': False, 'source_label': '8450.2.a.cw.1.4', 'source_level': 8450, 'target_conrey_index': 339, 'target_dim': 18, 'target_embedding_index': 6, 'target_hecke_orbit_code': 22518066889885338, 'target_is_minimal': True, 'target_label': '1690.2.b.f.339.6', 'target_level': 1690, 'twist_class_label': '1690.2.b.f.339.6', 'twist_class_level': 1690, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49144510
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 4, 'source_hecke_orbit_code': 333266372458979586, 'source_is_minimal': False, 'source_label': '8450.2.a.cw.1.4', 'source_level': 8450, 'target_conrey_index': 339, 'target_dim': 18, 'target_embedding_index': 13, 'target_hecke_orbit_code': 22518066889885338, 'target_is_minimal': True, 'target_label': '1690.2.b.f.339.13', 'target_level': 1690, 'twist_class_label': '1690.2.b.f.339.6', 'twist_class_level': 1690, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49144511
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 4, 'source_hecke_orbit_code': 333266372458979586, 'source_is_minimal': False, 'source_label': '8450.2.a.cw.1.4', 'source_level': 8450, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 6, 'target_hecke_orbit_code': 337769972086350082, 'target_is_minimal': False, 'target_label': '8450.2.a.cx.1.6', 'target_level': 8450, 'twist_class_label': '1690.2.b.f.339.6', 'twist_class_level': 1690, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49144512
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 4, 'source_hecke_orbit_code': 333266372458979586, 'source_is_minimal': False, 'source_label': '8450.2.a.cw.1.4', 'source_level': 8450, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 4, 'target_hecke_orbit_code': 351280770968461570, 'target_is_minimal': False, 'target_label': '8450.2.a.da.1.4', 'target_level': 8450, 'twist_class_label': '1690.2.b.f.339.6', 'twist_class_level': 1690, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 49144513
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 4, 'source_hecke_orbit_code': 333266372458979586, 'source_is_minimal': False, 'source_label': '8450.2.a.cw.1.4', 'source_level': 8450, 'target_conrey_index': 1689, 'target_dim': 18, 'target_embedding_index': 10, 'target_hecke_orbit_code': 27021735236732570, 'target_is_minimal': False, 'target_label': '1690.2.c.g.1689.10', 'target_level': 1690, 'twist_class_label': '1690.2.b.f.339.6', 'twist_class_level': 1690, 'twisting_char_label': '65.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 49144514
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 4, 'source_hecke_orbit_code': 333266372458979586, 'source_is_minimal': False, 'source_label': '8450.2.a.cw.1.4', 'source_level': 8450, 'target_conrey_index': 339, 'target_dim': 18, 'target_embedding_index': 15, 'target_hecke_orbit_code': 27021666517255834, 'target_is_minimal': True, 'target_label': '1690.2.b.g.339.15', 'target_level': 1690, 'twist_class_label': '1690.2.b.f.339.6', 'twist_class_level': 1690, 'twisting_char_label': '65.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 49144515
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 4, 'source_hecke_orbit_code': 333266372458979586, 'source_is_minimal': False, 'source_label': '8450.2.a.cw.1.4', 'source_level': 8450, 'target_conrey_index': 1689, 'target_dim': 18, 'target_embedding_index': 10, 'target_hecke_orbit_code': 31525334864103066, 'target_is_minimal': False, 'target_label': '1690.2.c.h.1689.10', 'target_level': 1690, 'twist_class_label': '1690.2.b.f.339.6', 'twist_class_level': 1690, 'twisting_char_label': '65.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 49144516
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 4, 'source_hecke_orbit_code': 333266372458979586, 'source_is_minimal': False, 'source_label': '8450.2.a.cw.1.4', 'source_level': 8450, 'target_conrey_index': 339, 'target_dim': 18, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021666517255834, 'target_is_minimal': True, 'target_label': '1690.2.b.g.339.4', 'target_level': 1690, 'twist_class_label': '1690.2.b.f.339.6', 'twist_class_level': 1690, 'twisting_char_label': '65.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 49144517
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 4, 'source_hecke_orbit_code': 333266372458979586, 'source_is_minimal': False, 'source_label': '8450.2.a.cw.1.4', 'source_level': 8450, 'target_conrey_index': 1689, 'target_dim': 18, 'target_embedding_index': 9, 'target_hecke_orbit_code': 31525334864103066, 'target_is_minimal': False, 'target_label': '1690.2.c.h.1689.9', 'target_level': 1690, 'twist_class_label': '1690.2.b.f.339.6', 'twist_class_level': 1690, 'twisting_char_label': '65.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 49144518
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 4, 'source_hecke_orbit_code': 333266372458979586, 'source_is_minimal': False, 'source_label': '8450.2.a.cw.1.4', 'source_level': 8450, 'target_conrey_index': 1689, 'target_dim': 18, 'target_embedding_index': 9, 'target_hecke_orbit_code': 27021735236732570, 'target_is_minimal': False, 'target_label': '1690.2.c.g.1689.9', 'target_level': 1690, 'twist_class_label': '1690.2.b.f.339.6', 'twist_class_level': 1690, 'twisting_char_label': '65.57', 'twisting_conrey_index': 57, 'weight': 2}
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id: 49144519
{'conductor': 65, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 4, 'source_hecke_orbit_code': 333266372458979586, 'source_is_minimal': False, 'source_label': '8450.2.a.cw.1.4', 'source_level': 8450, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 6, 'target_hecke_orbit_code': 319755573576868098, 'target_is_minimal': False, 'target_label': '8450.2.a.ct.1.6', 'target_level': 8450, 'twist_class_label': '1690.2.b.f.339.6', 'twist_class_level': 1690, 'twisting_char_label': '65.64', 'twisting_conrey_index': 64, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4758850
{'charpoly_factorization': [[[1, 1], 9]], 'hecke_orbit_code': 333266372458979586, 'p': 2}
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id: 4758851
{'charpoly_factorization': [[[1, -14, -21, 111, -49, -70, 40, 7, -7, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 3}
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id: 4758852
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 333266372458979586, 'p': 5}
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id: 4758853
{'charpoly_factorization': [[[104, -80, -380, -24, 310, 108, -55, -26, 1, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 7}
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id: 4758854
{'charpoly_factorization': [[[1688, 3900, -2084, -3185, 938, 672, -126, -45, 4, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 11}
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id: 4758855
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 333266372458979586, 'p': 13}
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id: 4758856
{'charpoly_factorization': [[[28664, -72684, 26144, 17737, -7138, -994, 552, -11, -12, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 17}
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id: 4758857
{'charpoly_factorization': [[[-1912, 14284, -6776, -12737, 3398, 1756, -302, -71, 6, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 19}
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id: 4758858
{'charpoly_factorization': [[[568, -34464, 55420, 23584, -14790, -640, 863, -52, -11, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 23}
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id: 4758859
{'charpoly_factorization': [[[-369496, -472888, 156576, 89036, -26926, -2612, 1175, -22, -15, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 29}
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id: 4758860
{'charpoly_factorization': [[[-3017216, -831872, 1037568, -64200, -58096, 6852, 1052, -152, -6, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 31}
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id: 4758861
{'charpoly_factorization': [[[-229312, 336320, 301680, -41880, -35440, 3340, 1224, -120, -10, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 37}
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id: 4758862
{'charpoly_factorization': [[[-138557, 235542, 268367, 37027, -26523, -8168, -106, 213, 27, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 41}
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id: 4758863
{'charpoly_factorization': [[[2743369, -5655690, 4449149, -1716273, 330193, -21986, -2648, 597, -41, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 43}
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id: 4758864
{'charpoly_factorization': [[[-1112, 5224, 21312, -35332, 9582, 3758, -911, -174, 5, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 47}
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id: 4758865
{'charpoly_factorization': [[[884416, 3595456, -5005552, 1804888, -191904, -17020, 4440, -136, -18, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 53}
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id: 4758866
{'charpoly_factorization': [[[-1232008, 16837384, 14322546, 4090607, 379172, -26062, -6406, -183, 20, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 59}
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id: 4758867
{'charpoly_factorization': [[[-17534728, -13699624, -2119308, 658380, 180536, -4518, -3683, -124, 19, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 61}
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id: 4758868
{'charpoly_factorization': [[[116700191, 41559162, -4507027, -2240269, 45349, 42342, -16, -341, -1, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 67}
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id: 4758869
{'charpoly_factorization': [[[-5913536, -4375168, 1849744, 867880, -356624, 18988, 3784, -312, -10, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 71}
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id: 4758870
{'charpoly_factorization': [[[-6936152, 9698824, -5309674, 1358189, -121366, -14798, 3934, -195, -12, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 73}
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id: 4758871
{'charpoly_factorization': [[[487936, 1305600, 1158016, 393152, 14688, -19744, -3872, -164, 14, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 79}
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id: 4758872
{'charpoly_factorization': [[[6817999, -993782, -4033201, -771709, 209675, 43834, -1268, -407, 1, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 83}
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id: 4758873
{'charpoly_factorization': [[[-263242657, -61211482, 18947243, 5666699, -60679, -111028, -6530, 377, 43, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 89}
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id: 4758874
{'charpoly_factorization': [[[-10724792, 9856032, -939202, -882783, 71810, 23738, -1214, -259, 6, 1], 1]], 'hecke_orbit_code': 333266372458979586, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 75, 'label': '8450.2.a.cw', 'level': 8450, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72413611
{'hecke_orbit_code': 333266372458979586, 'n': 1, 'trace_an': 9}
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id: 72413612
{'hecke_orbit_code': 333266372458979586, 'n': 2, 'trace_an': -9}
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id: 72413613
{'hecke_orbit_code': 333266372458979586, 'n': 3, 'trace_an': 7}
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id: 72413614
{'hecke_orbit_code': 333266372458979586, 'n': 4, 'trace_an': 9}
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id: 72413615
{'hecke_orbit_code': 333266372458979586, 'n': 5, 'trace_an': 0}
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id: 72413616
{'hecke_orbit_code': 333266372458979586, 'n': 6, 'trace_an': -7}
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id: 72413617
{'hecke_orbit_code': 333266372458979586, 'n': 7, 'trace_an': -1}
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id: 72413618
{'hecke_orbit_code': 333266372458979586, 'n': 8, 'trace_an': -9}
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id: 72413619
{'hecke_orbit_code': 333266372458979586, 'n': 9, 'trace_an': 8}
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id: 72413620
{'hecke_orbit_code': 333266372458979586, 'n': 10, 'trace_an': 0}
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id: 72413621
{'hecke_orbit_code': 333266372458979586, 'n': 11, 'trace_an': -4}
-
id: 72413622
{'hecke_orbit_code': 333266372458979586, 'n': 12, 'trace_an': 7}
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id: 72413623
{'hecke_orbit_code': 333266372458979586, 'n': 13, 'trace_an': 0}
-
id: 72413624
{'hecke_orbit_code': 333266372458979586, 'n': 14, 'trace_an': 1}
-
id: 72413625
{'hecke_orbit_code': 333266372458979586, 'n': 15, 'trace_an': 0}
-
id: 72413626
{'hecke_orbit_code': 333266372458979586, 'n': 16, 'trace_an': 9}
-
id: 72413627
{'hecke_orbit_code': 333266372458979586, 'n': 17, 'trace_an': 12}
-
id: 72413628
{'hecke_orbit_code': 333266372458979586, 'n': 18, 'trace_an': -8}
-
id: 72413629
{'hecke_orbit_code': 333266372458979586, 'n': 19, 'trace_an': -6}
-
id: 72413630
{'hecke_orbit_code': 333266372458979586, 'n': 20, 'trace_an': 0}
-
id: 72413631
{'hecke_orbit_code': 333266372458979586, 'n': 21, 'trace_an': -8}
-
id: 72413632
{'hecke_orbit_code': 333266372458979586, 'n': 22, 'trace_an': 4}
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