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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': 79, 'hecke_orbit_code': 351280770968461570, '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.da', '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})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': 1894953140842979310, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.917', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '180.116', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__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, 0, 20, 28, 0, 7, -19, 72, 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'embedding_root_real': 2.083953508408741, 'hecke_orbit': 79, 'hecke_orbit_code': 351280770968461570, 'label': '8450.2.a.da.1.2', 'level': 8450, 'weight': 2}
-
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: 49150997
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 351280770968461570, 'source_is_minimal': False, 'source_label': '8450.2.a.da.1.2', 'source_level': 8450, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 2, 'target_hecke_orbit_code': 351280770968461570, 'target_is_minimal': False, 'target_label': '8450.2.a.da.1.2', 'target_level': 8450, 'twist_class_label': '1690.2.b.f.339.8', 'twist_class_level': 1690, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49150998
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 351280770968461570, 'source_is_minimal': False, 'source_label': '8450.2.a.da.1.2', 'source_level': 8450, 'target_conrey_index': 339, 'target_dim': 18, 'target_embedding_index': 17, 'target_hecke_orbit_code': 27021666517255834, 'target_is_minimal': True, 'target_label': '1690.2.b.g.339.17', 'target_level': 1690, 'twist_class_label': '1690.2.b.f.339.8', 'twist_class_level': 1690, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49150999
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 351280770968461570, 'source_is_minimal': False, 'source_label': '8450.2.a.da.1.2', 'source_level': 8450, 'target_conrey_index': 339, 'target_dim': 18, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021666517255834, 'target_is_minimal': True, 'target_label': '1690.2.b.g.339.2', 'target_level': 1690, 'twist_class_label': '1690.2.b.f.339.8', 'twist_class_level': 1690, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49151000
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 351280770968461570, 'source_is_minimal': False, 'source_label': '8450.2.a.da.1.2', 'source_level': 8450, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 8, 'target_hecke_orbit_code': 319755573576868098, 'target_is_minimal': False, 'target_label': '8450.2.a.ct.1.8', 'target_level': 8450, 'twist_class_label': '1690.2.b.f.339.8', 'twist_class_level': 1690, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49151001
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 351280770968461570, 'source_is_minimal': False, 'source_label': '8450.2.a.da.1.2', 'source_level': 8450, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 2, 'target_hecke_orbit_code': 333266372458979586, 'target_is_minimal': False, 'target_label': '8450.2.a.cw.1.2', 'target_level': 8450, 'twist_class_label': '1690.2.b.f.339.8', 'twist_class_level': 1690, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 49151002
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 351280770968461570, 'source_is_minimal': False, 'source_label': '8450.2.a.da.1.2', 'source_level': 8450, 'target_conrey_index': 1689, 'target_dim': 18, 'target_embedding_index': 5, 'target_hecke_orbit_code': 31525334864103066, 'target_is_minimal': False, 'target_label': '1690.2.c.h.1689.5', 'target_level': 1690, 'twist_class_label': '1690.2.b.f.339.8', 'twist_class_level': 1690, 'twisting_char_label': '65.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 49151003
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 351280770968461570, 'source_is_minimal': False, 'source_label': '8450.2.a.da.1.2', 'source_level': 8450, 'target_conrey_index': 339, 'target_dim': 18, 'target_embedding_index': 8, 'target_hecke_orbit_code': 22518066889885338, 'target_is_minimal': True, 'target_label': '1690.2.b.f.339.8', 'target_level': 1690, 'twist_class_label': '1690.2.b.f.339.8', 'twist_class_level': 1690, 'twisting_char_label': '65.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 49151004
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 351280770968461570, 'source_is_minimal': False, 'source_label': '8450.2.a.da.1.2', 'source_level': 8450, 'target_conrey_index': 1689, 'target_dim': 18, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021735236732570, 'target_is_minimal': False, 'target_label': '1690.2.c.g.1689.5', 'target_level': 1690, 'twist_class_label': '1690.2.b.f.339.8', 'twist_class_level': 1690, 'twisting_char_label': '65.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 49151005
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 351280770968461570, 'source_is_minimal': False, 'source_label': '8450.2.a.da.1.2', 'source_level': 8450, 'target_conrey_index': 339, 'target_dim': 18, 'target_embedding_index': 11, 'target_hecke_orbit_code': 22518066889885338, 'target_is_minimal': True, 'target_label': '1690.2.b.f.339.11', 'target_level': 1690, 'twist_class_label': '1690.2.b.f.339.8', 'twist_class_level': 1690, 'twisting_char_label': '65.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 49151006
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 351280770968461570, 'source_is_minimal': False, 'source_label': '8450.2.a.da.1.2', 'source_level': 8450, 'target_conrey_index': 1689, 'target_dim': 18, 'target_embedding_index': 14, 'target_hecke_orbit_code': 27021735236732570, 'target_is_minimal': False, 'target_label': '1690.2.c.g.1689.14', 'target_level': 1690, 'twist_class_label': '1690.2.b.f.339.8', 'twist_class_level': 1690, 'twisting_char_label': '65.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 49151007
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 351280770968461570, 'source_is_minimal': False, 'source_label': '8450.2.a.da.1.2', 'source_level': 8450, 'target_conrey_index': 1689, 'target_dim': 18, 'target_embedding_index': 14, 'target_hecke_orbit_code': 31525334864103066, 'target_is_minimal': False, 'target_label': '1690.2.c.h.1689.14', 'target_level': 1690, 'twist_class_label': '1690.2.b.f.339.8', 'twist_class_level': 1690, 'twisting_char_label': '65.57', 'twisting_conrey_index': 57, 'weight': 2}
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id: 49151008
{'conductor': 65, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 351280770968461570, 'source_is_minimal': False, 'source_label': '8450.2.a.da.1.2', 'source_level': 8450, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 8, 'target_hecke_orbit_code': 337769972086350082, 'target_is_minimal': False, 'target_label': '8450.2.a.cx.1.8', 'target_level': 8450, 'twist_class_label': '1690.2.b.f.339.8', '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: 4758950
{'charpoly_factorization': [[[-1, 1], 9]], 'hecke_orbit_code': 351280770968461570, 'p': 2}
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id: 4758951
{'charpoly_factorization': [[[1, -14, -21, 111, -49, -70, 40, 7, -7, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 3}
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id: 4758952
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 351280770968461570, 'p': 5}
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id: 4758953
{'charpoly_factorization': [[[-104, -80, 380, -24, -310, 108, 55, -26, -1, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 7}
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id: 4758954
{'charpoly_factorization': [[[-1688, 3900, 2084, -3185, -938, 672, 126, -45, -4, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 11}
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id: 4758955
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 351280770968461570, 'p': 13}
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id: 4758956
{'charpoly_factorization': [[[28664, -72684, 26144, 17737, -7138, -994, 552, -11, -12, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 17}
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id: 4758957
{'charpoly_factorization': [[[1912, 14284, 6776, -12737, -3398, 1756, 302, -71, -6, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 19}
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id: 4758958
{'charpoly_factorization': [[[568, -34464, 55420, 23584, -14790, -640, 863, -52, -11, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 23}
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id: 4758959
{'charpoly_factorization': [[[-369496, -472888, 156576, 89036, -26926, -2612, 1175, -22, -15, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 29}
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id: 4758960
{'charpoly_factorization': [[[3017216, -831872, -1037568, -64200, 58096, 6852, -1052, -152, 6, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 31}
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id: 4758961
{'charpoly_factorization': [[[229312, 336320, -301680, -41880, 35440, 3340, -1224, -120, 10, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 37}
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id: 4758962
{'charpoly_factorization': [[[138557, 235542, -268367, 37027, 26523, -8168, 106, 213, -27, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 41}
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id: 4758963
{'charpoly_factorization': [[[2743369, -5655690, 4449149, -1716273, 330193, -21986, -2648, 597, -41, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 43}
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id: 4758964
{'charpoly_factorization': [[[1112, 5224, -21312, -35332, -9582, 3758, 911, -174, -5, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 47}
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id: 4758965
{'charpoly_factorization': [[[884416, 3595456, -5005552, 1804888, -191904, -17020, 4440, -136, -18, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 53}
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id: 4758966
{'charpoly_factorization': [[[1232008, 16837384, -14322546, 4090607, -379172, -26062, 6406, -183, -20, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 59}
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id: 4758967
{'charpoly_factorization': [[[-17534728, -13699624, -2119308, 658380, 180536, -4518, -3683, -124, 19, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 61}
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id: 4758968
{'charpoly_factorization': [[[-116700191, 41559162, 4507027, -2240269, -45349, 42342, 16, -341, 1, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 67}
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id: 4758969
{'charpoly_factorization': [[[5913536, -4375168, -1849744, 867880, 356624, 18988, -3784, -312, 10, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 71}
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id: 4758970
{'charpoly_factorization': [[[6936152, 9698824, 5309674, 1358189, 121366, -14798, -3934, -195, 12, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 73}
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id: 4758971
{'charpoly_factorization': [[[487936, 1305600, 1158016, 393152, 14688, -19744, -3872, -164, 14, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 79}
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id: 4758972
{'charpoly_factorization': [[[-6817999, -993782, 4033201, -771709, -209675, 43834, 1268, -407, -1, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 83}
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id: 4758973
{'charpoly_factorization': [[[263242657, -61211482, -18947243, 5666699, 60679, -111028, 6530, 377, -43, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 89}
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id: 4758974
{'charpoly_factorization': [[[10724792, 9856032, 939202, -882783, -71810, 23738, 1214, -259, -6, 1], 1]], 'hecke_orbit_code': 351280770968461570, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 79, 'label': '8450.2.a.da', '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: 72455665
{'hecke_orbit_code': 351280770968461570, 'n': 1, 'trace_an': 9}
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id: 72455666
{'hecke_orbit_code': 351280770968461570, 'n': 2, 'trace_an': 9}
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id: 72455667
{'hecke_orbit_code': 351280770968461570, 'n': 3, 'trace_an': 7}
-
id: 72455668
{'hecke_orbit_code': 351280770968461570, 'n': 4, 'trace_an': 9}
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id: 72455669
{'hecke_orbit_code': 351280770968461570, 'n': 5, 'trace_an': 0}
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id: 72455670
{'hecke_orbit_code': 351280770968461570, 'n': 6, 'trace_an': 7}
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id: 72455671
{'hecke_orbit_code': 351280770968461570, 'n': 7, 'trace_an': 1}
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id: 72455672
{'hecke_orbit_code': 351280770968461570, 'n': 8, 'trace_an': 9}
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id: 72455673
{'hecke_orbit_code': 351280770968461570, 'n': 9, 'trace_an': 8}
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id: 72455674
{'hecke_orbit_code': 351280770968461570, 'n': 10, 'trace_an': 0}
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id: 72455675
{'hecke_orbit_code': 351280770968461570, 'n': 11, 'trace_an': 4}
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id: 72455676
{'hecke_orbit_code': 351280770968461570, 'n': 12, 'trace_an': 7}
-
id: 72455677
{'hecke_orbit_code': 351280770968461570, 'n': 13, 'trace_an': 0}
-
id: 72455678
{'hecke_orbit_code': 351280770968461570, 'n': 14, 'trace_an': 1}
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id: 72455679
{'hecke_orbit_code': 351280770968461570, 'n': 15, 'trace_an': 0}
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id: 72455680
{'hecke_orbit_code': 351280770968461570, 'n': 16, 'trace_an': 9}
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id: 72455681
{'hecke_orbit_code': 351280770968461570, 'n': 17, 'trace_an': 12}
-
id: 72455682
{'hecke_orbit_code': 351280770968461570, 'n': 18, 'trace_an': 8}
-
id: 72455683
{'hecke_orbit_code': 351280770968461570, 'n': 19, 'trace_an': 6}
-
id: 72455684
{'hecke_orbit_code': 351280770968461570, 'n': 20, 'trace_an': 0}
-
id: 72455685
{'hecke_orbit_code': 351280770968461570, 'n': 21, 'trace_an': 8}
-
id: 72455686
{'hecke_orbit_code': 351280770968461570, 'n': 22, 'trace_an': 4}
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id: 72455687
{'hecke_orbit_code': 351280770968461570, 'n': 23, 'trace_an': 11}
-
id: 72455688
{'hecke_orbit_code': 351280770968461570, 'n': 24, 'trace_an': 7}
-
id: 72455689
{'hecke_orbit_code': 351280770968461570, 'n': 25, 'trace_an': 0}
-
id: 72455690
{'hecke_orbit_code': 351280770968461570, 'n': 26, 'trace_an': 0}
-
id: 72455691
{'hecke_orbit_code': 351280770968461570, 'n': 27, 'trace_an': 34}
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id: 72455692
{'hecke_orbit_code': 351280770968461570, 'n': 28, 'trace_an': 1}
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id: 72455693
{'hecke_orbit_code': 351280770968461570, 'n': 29, 'trace_an': 15}
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