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mf_newforms • Show schema
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{'Nk2': 1560, 'analytic_conductor': 3.114165678829935, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [390, 3, [131, 157, 301], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 61, 'dim': 4, 'field_disc': 2601, 'field_disc_factorization': [[3, 2], [17, 2]], 'field_poly': [16, 4, 5, -1, 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': [[7, [4, -6, 11, 3, 1]], [11, [289, 0, 17, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022147553591686, 'hecke_ring_generator_nbound': 7, '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, 13, 3, 1, 3, 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': '390.2.i.g', 'level': 390, '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': True, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '390.2.i.g', 'nf_label': '4.0.2601.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\beta _{2})q^{2}+(-1+\\beta _{2})q^{3}-\\beta _{2}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '390.2.i', 'trace_display': [-2, -2, 4, -3], 'trace_hash': 857232142540877804, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.813', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.336', 'prec': 17}, {'__RealLiteral__': 0, 'data': '53.157', 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1560, 'analytic_conductor': 3.114165678829935, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [390, 3, [131, 157, 301], [3, 3, 2]], 'conrey_index': 61, 'cusp_dim': 152, 'dim': 16, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 549789368710, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4], 'label': '390.2.i', 'level': 390, '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': True, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 184, 'mf_new_dim': 16, 'num_forms': 7, 'prim_orbit_index': 3, 'relative_dim': 8, 'sturm_bound': 168, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [16, 0, 0, -8, 0, 0, 0, 0, -8, -4, 12, 0, -8, 8, 0, -8, 0, 0, 4, 0, 0, -16, 16, 0, 16, 0, 0, 0, -8, -4, 8, 0, 0, 16, 4, -8, 8, 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-8, 144, -80, -16, -64, -8, 96, 20, 8], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45846987
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553591686, 'source_is_minimal': True, 'source_label': '390.2.i.g.211.1', 'source_level': 390, 'target_conrey_index': 211, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022147553591686, 'target_is_minimal': True, 'target_label': '390.2.i.g.211.1', 'target_level': 390, 'twist_class_label': '390.2.i.g.61.1', 'twist_class_level': 390, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45846988
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553591686, 'source_is_minimal': True, 'source_label': '390.2.i.g.211.1', 'source_level': 390, 'target_conrey_index': 991, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050944572556434, 'target_is_minimal': False, 'target_label': '1170.2.i.o.991.1', 'target_level': 1170, 'twist_class_label': '390.2.i.g.61.1', 'twist_class_level': 390, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45846989
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553591686, 'source_is_minimal': True, 'source_label': '390.2.i.g.211.1', 'source_level': 390, 'target_conrey_index': 1849, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58548513176291230, 'target_is_minimal': False, 'target_label': '1950.2.z.n.1849.3', 'target_level': 1950, 'twist_class_label': '390.2.i.g.61.1', 'twist_class_level': 390, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45846990
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553591686, 'source_is_minimal': True, 'source_label': '390.2.i.g.211.1', 'source_level': 390, 'target_conrey_index': 1849, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58548513176291230, 'target_is_minimal': False, 'target_label': '1950.2.z.n.1849.2', 'target_level': 1950, 'twist_class_label': '390.2.i.g.61.1', 'twist_class_level': 390, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45846991
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553591686, 'source_is_minimal': True, 'source_label': '390.2.i.g.211.1', 'source_level': 390, 'target_conrey_index': 601, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 153122937119967134, 'target_is_minimal': False, 'target_label': '1950.2.i.bi.601.2', 'target_level': 1950, 'twist_class_label': '390.2.i.g.61.1', 'twist_class_level': 390, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45846992
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553591686, 'source_is_minimal': True, 'source_label': '390.2.i.g.211.1', 'source_level': 390, 'target_conrey_index': 1351, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561262418334670, 'target_is_minimal': False, 'target_label': '5070.2.b.r.1351.2', 'target_level': 5070, 'twist_class_label': '390.2.i.g.61.1', 'twist_class_level': 390, 'twisting_char_label': '13.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45846993
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553591686, 'source_is_minimal': True, 'source_label': '390.2.i.g.211.1', 'source_level': 390, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 153122387364156366, 'target_is_minimal': False, 'target_label': '5070.2.a.bi.1.2', 'target_level': 5070, 'twist_class_label': '390.2.i.g.61.1', 'twist_class_level': 390, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45846994
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553591686, 'source_is_minimal': True, 'source_label': '390.2.i.g.211.1', 'source_level': 390, 'target_conrey_index': 61, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022147553591686, 'target_is_minimal': True, 'target_label': '390.2.i.g.61.1', 'target_level': 390, 'twist_class_label': '390.2.i.g.61.1', 'twist_class_level': 390, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 45846995
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553591686, 'source_is_minimal': True, 'source_label': '390.2.i.g.211.1', 'source_level': 390, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597189972562894, 'target_is_minimal': False, 'target_label': '5070.2.a.bb.1.1', 'target_level': 5070, 'twist_class_label': '390.2.i.g.61.1', 'twist_class_level': 390, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 45846996
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553591686, 'source_is_minimal': True, 'source_label': '390.2.i.g.211.1', 'source_level': 390, 'target_conrey_index': 1351, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 76561262418334670, 'target_is_minimal': False, 'target_label': '5070.2.b.r.1351.3', 'target_level': 5070, 'twist_class_label': '390.2.i.g.61.1', 'twist_class_level': 390, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45846997
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553591686, 'source_is_minimal': True, 'source_label': '390.2.i.g.211.1', 'source_level': 390, 'target_conrey_index': 451, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050944572556434, 'target_is_minimal': False, 'target_label': '1170.2.i.o.451.1', 'target_level': 1170, 'twist_class_label': '390.2.i.g.61.1', 'twist_class_level': 390, 'twisting_char_label': '39.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 45846998
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553591686, 'source_is_minimal': True, 'source_label': '390.2.i.g.211.1', 'source_level': 390, 'target_conrey_index': 451, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 153122937119967134, 'target_is_minimal': False, 'target_label': '1950.2.i.bi.451.2', 'target_level': 1950, 'twist_class_label': '390.2.i.g.61.1', 'twist_class_level': 390, 'twisting_char_label': '65.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 45846999
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553591686, 'source_is_minimal': True, 'source_label': '390.2.i.g.211.1', 'source_level': 390, 'target_conrey_index': 1699, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58548513176291230, 'target_is_minimal': False, 'target_label': '1950.2.z.n.1699.2', 'target_level': 1950, 'twist_class_label': '390.2.i.g.61.1', 'twist_class_level': 390, 'twisting_char_label': '65.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 45847000
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553591686, 'source_is_minimal': True, 'source_label': '390.2.i.g.211.1', 'source_level': 390, 'target_conrey_index': 1699, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58548513176291230, 'target_is_minimal': False, 'target_label': '1950.2.z.n.1699.3', 'target_level': 1950, 'twist_class_label': '390.2.i.g.61.1', 'twist_class_level': 390, 'twisting_char_label': '65.48', 'twisting_conrey_index': 48, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 815575
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 27022147553591686, 'p': 2}
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id: 815576
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 27022147553591686, 'p': 3}
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id: 815577
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 27022147553591686, 'p': 5}
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id: 815578
{'charpoly_factorization': [[[4, -6, 11, 3, 1], 1]], 'hecke_orbit_code': 27022147553591686, 'p': 7}
-
id: 815579
{'charpoly_factorization': [[[289, 0, 17, 0, 1], 1]], 'hecke_orbit_code': 27022147553591686, 'p': 11}
-
id: 815580
{'charpoly_factorization': [[[169, 13, -12, 1, 1], 1]], 'hecke_orbit_code': 27022147553591686, 'p': 13}
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id: 815581
{'charpoly_factorization': [[[256, -32, 20, 2, 1], 1]], 'hecke_orbit_code': 27022147553591686, 'p': 17}
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id: 815582
{'charpoly_factorization': [[[4, 6, 11, -3, 1], 1]], 'hecke_orbit_code': 27022147553591686, 'p': 19}
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id: 815583
{'charpoly_factorization': [[[1296, 108, 45, -3, 1], 1]], 'hecke_orbit_code': 27022147553591686, 'p': 23}
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id: 815584
{'charpoly_factorization': [[[256, 144, 65, 9, 1], 1]], 'hecke_orbit_code': 27022147553591686, 'p': 29}
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id: 815585
{'charpoly_factorization': [[[-38, 1, 1], 2]], 'hecke_orbit_code': 27022147553591686, 'p': 31}
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id: 815586
{'charpoly_factorization': [[[289, 0, 17, 0, 1], 1]], 'hecke_orbit_code': 27022147553591686, 'p': 37}
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id: 815587
{'charpoly_factorization': [[[2704, -416, 116, 8, 1], 1]], 'hecke_orbit_code': 27022147553591686, 'p': 41}
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id: 815588
{'charpoly_factorization': [[[4, 10, 23, 5, 1], 1]], 'hecke_orbit_code': 27022147553591686, 'p': 43}
-
id: 815589
{'charpoly_factorization': [[[-7, 1], 4]], 'hecke_orbit_code': 27022147553591686, 'p': 47}
-
id: 815590
{'charpoly_factorization': [[[38, -13, 1], 2]], 'hecke_orbit_code': 27022147553591686, 'p': 53}
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id: 815591
{'charpoly_factorization': [[[4624, 1156, 221, 17, 1], 1]], 'hecke_orbit_code': 27022147553591686, 'p': 59}
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id: 815592
{'charpoly_factorization': [[[36, 6, 1], 2]], 'hecke_orbit_code': 27022147553591686, 'p': 61}
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id: 815593
{'charpoly_factorization': [[[1024, -384, 176, 12, 1], 1]], 'hecke_orbit_code': 27022147553591686, 'p': 67}
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id: 815594
{'charpoly_factorization': [[[4096, -1152, 260, -18, 1], 1]], 'hecke_orbit_code': 27022147553591686, 'p': 71}
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id: 815595
{'charpoly_factorization': [[[-144, 6, 1], 2]], 'hecke_orbit_code': 27022147553591686, 'p': 73}
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id: 815596
{'charpoly_factorization': [[[86, -19, 1], 2]], 'hecke_orbit_code': 27022147553591686, 'p': 79}
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id: 815597
{'charpoly_factorization': [[[-8, 6, 1], 2]], 'hecke_orbit_code': 27022147553591686, 'p': 83}
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id: 815598
{'charpoly_factorization': [[[1156, 578, 323, -17, 1], 1]], 'hecke_orbit_code': 27022147553591686, 'p': 89}
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id: 815599
{'charpoly_factorization': [[[64, 48, 44, -6, 1], 1]], 'hecke_orbit_code': 27022147553591686, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 7, 'label': '390.2.i.g', 'level': 390, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 47491069
{'hecke_orbit_code': 27022147553591686, 'n': 1, 'trace_an': 4}
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id: 47491070
{'hecke_orbit_code': 27022147553591686, 'n': 2, 'trace_an': -2}
-
id: 47491071
{'hecke_orbit_code': 27022147553591686, 'n': 3, 'trace_an': -2}
-
id: 47491072
{'hecke_orbit_code': 27022147553591686, 'n': 4, 'trace_an': -2}
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id: 47491073
{'hecke_orbit_code': 27022147553591686, 'n': 5, 'trace_an': 4}
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id: 47491074
{'hecke_orbit_code': 27022147553591686, 'n': 6, 'trace_an': -2}
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id: 47491075
{'hecke_orbit_code': 27022147553591686, 'n': 7, 'trace_an': -3}
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id: 47491076
{'hecke_orbit_code': 27022147553591686, 'n': 8, 'trace_an': 4}
-
id: 47491077
{'hecke_orbit_code': 27022147553591686, 'n': 9, 'trace_an': -2}
-
id: 47491078
{'hecke_orbit_code': 27022147553591686, 'n': 10, 'trace_an': -2}
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id: 47491079
{'hecke_orbit_code': 27022147553591686, 'n': 11, 'trace_an': 0}
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id: 47491080
{'hecke_orbit_code': 27022147553591686, 'n': 12, 'trace_an': 4}
-
id: 47491081
{'hecke_orbit_code': 27022147553591686, 'n': 13, 'trace_an': -1}
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id: 47491082
{'hecke_orbit_code': 27022147553591686, 'n': 14, 'trace_an': 6}
-
id: 47491083
{'hecke_orbit_code': 27022147553591686, 'n': 15, 'trace_an': -2}
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id: 47491084
{'hecke_orbit_code': 27022147553591686, 'n': 16, 'trace_an': -2}
-
id: 47491085
{'hecke_orbit_code': 27022147553591686, 'n': 17, 'trace_an': -2}
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id: 47491086
{'hecke_orbit_code': 27022147553591686, 'n': 18, 'trace_an': 4}
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id: 47491087
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