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mf_newforms • Show schema
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{'Nk2': 296, 'analytic_conductor': 0.5908929749574748, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 37, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [74, 3, [39], [2]], 'cm_discs': [], 'conrey_index': 47, 'conrey_indexes': [47, 63], 'dim': 6, 'field_disc': -4406832, 'field_disc_factorization': [[-1, 1], [2, 4], [3, 3], [101, 2]], 'field_poly': [1, 5, 24, 7, 6, -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': [[3, [16, 32, 64, 8, 8, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007336727248970, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 37, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '74.2.c.c', 'level': 74, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 37], 'level_radical': 74, 'minimal_twist': '74.2.c.c', 'nf_label': '6.0.4406832.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1-\\beta _{3})q^{2}+(\\beta _{2}+\\beta _{4})q^{3}+\\beta _{3}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '74.2.c', 'trace_display': [-3, 0, -1, 0], 'trace_hash': 2190310104804034349, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.037', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.705', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.757', 'prec': 17}, {'__RealLiteral__': 0, 'data': '136.685', 'prec': 24}, {'__RealLiteral__': 0, 'data': '216.579', 'prec': 24}, 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 296, 'analytic_conductor': 0.5908929749574748, 'char_conductor': 37, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [74, 3, [39], [2]], 'conrey_index': 47, 'cusp_dim': 14, 'dim': 10, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 137472507978, 'hecke_orbit_dims': [2, 2, 6], 'label': '74.2.c', 'level': 74, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 37], 'level_radical': 74, 'mf_dim': 22, 'mf_new_dim': 10, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 5, 'sturm_bound': 19, 'trace_bound': 3, 'trace_display': [-1, 0, -3, 4], 'traces': [10, -1, 0, -5, -3, 0, 4, 2, -9, -2, 0, 0, -2, 8, 4, -5, -3, -5, -12, -3, 8, -8, 16, 0, -20, 20, -24, 4, -18, -12, 32, -1, -4, 9, 16, 18, -1, 8, 16, 1, 1, 24, -8, 0, 70, -8, -40, 0, 3, -20, -64, -2, -10, 12, -12, -4, 20, -3, -12, -8, 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mf_twists_cc • Show schema
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id: 40637933
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336727248970, 'source_is_minimal': True, 'source_label': '74.2.c.c.47.1', 'source_level': 74, 'target_conrey_index': 47, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336727248970, 'target_is_minimal': True, 'target_label': '74.2.c.c.47.1', 'target_level': 74, 'twist_class_label': '74.2.c.c.47.1', 'twist_class_level': 74, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40637934
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336727248970, 'source_is_minimal': True, 'source_label': '74.2.c.c.47.1', 'source_level': 74, 'target_conrey_index': 343, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532740277273242, 'target_is_minimal': False, 'target_label': '666.2.f.j.343.3', 'target_level': 666, 'twist_class_label': '74.2.c.c.47.1', 'twist_class_level': 74, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40637935
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336727248970, 'source_is_minimal': True, 'source_label': '74.2.c.c.47.1', 'source_level': 74, 'target_conrey_index': 417, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014948298850896, 'target_is_minimal': False, 'target_label': '592.2.i.e.417.3', 'target_level': 592, 'twist_class_label': '74.2.c.c.47.1', 'twist_class_level': 74, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40637936
{'conductor': 37, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336727248970, 'source_is_minimal': True, 'source_label': '74.2.c.c.47.1', 'source_level': 74, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050394816744114, 'target_is_minimal': False, 'target_label': '2738.2.a.o.1.3', 'target_level': 2738, 'twist_class_label': '74.2.c.c.47.1', 'twist_class_level': 74, 'twisting_char_label': '37.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 40637937
{'conductor': 37, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336727248970, 'source_is_minimal': True, 'source_label': '74.2.c.c.47.1', 'source_level': 74, 'target_conrey_index': 63, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336727248970, 'target_is_minimal': True, 'target_label': '74.2.c.c.63.1', 'target_level': 74, 'twist_class_label': '74.2.c.c.47.1', 'twist_class_level': 74, 'twisting_char_label': '37.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 40637938
{'conductor': 37, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336727248970, 'source_is_minimal': True, 'source_label': '74.2.c.c.47.1', 'source_level': 74, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58546795189373618, 'target_is_minimal': False, 'target_label': '2738.2.a.n.1.3', 'target_level': 2738, 'twist_class_label': '74.2.c.c.47.1', 'twist_class_level': 74, 'twisting_char_label': '37.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 40637939
{'conductor': 111, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336727248970, 'source_is_minimal': True, 'source_label': '74.2.c.c.47.1', 'source_level': 74, 'target_conrey_index': 433, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532740277273242, 'target_is_minimal': False, 'target_label': '666.2.f.j.433.3', 'target_level': 666, 'twist_class_label': '74.2.c.c.47.1', 'twist_class_level': 74, 'twisting_char_label': '111.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 40637940
{'conductor': 148, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336727248970, 'source_is_minimal': True, 'source_label': '74.2.c.c.47.1', 'source_level': 74, 'target_conrey_index': 433, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014948298850896, 'target_is_minimal': False, 'target_label': '592.2.i.e.433.3', 'target_level': 592, 'twist_class_label': '74.2.c.c.47.1', 'twist_class_level': 74, 'twisting_char_label': '148.63', 'twisting_conrey_index': 63, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 229500
{'charpoly_factorization': [[[1, 1, 1], 3]], 'hecke_orbit_code': 9007336727248970, 'p': 2}
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id: 229501
{'charpoly_factorization': [[[16, 32, 64, 8, 8, 0, 1], 1]], 'hecke_orbit_code': 9007336727248970, 'p': 3}
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id: 229502
{'charpoly_factorization': [[[441, 357, 310, 25, 18, 1, 1], 1]], 'hecke_orbit_code': 9007336727248970, 'p': 5}
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id: 229503
{'charpoly_factorization': [[[16, -32, 64, -8, 8, 0, 1], 1]], 'hecke_orbit_code': 9007336727248970, 'p': 7}
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id: 229504
{'charpoly_factorization': [[[48, -16, -4, 1], 2]], 'hecke_orbit_code': 9007336727248970, 'p': 11}
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id: 229505
{'charpoly_factorization': [[[4, 2, 1], 3]], 'hecke_orbit_code': 9007336727248970, 'p': 13}
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id: 229506
{'charpoly_factorization': [[[3969, -1827, 1030, -39, 38, -3, 1], 1]], 'hecke_orbit_code': 9007336727248970, 'p': 17}
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id: 229507
{'charpoly_factorization': [[[12544, 896, 960, 160, 72, 8, 1], 1]], 'hecke_orbit_code': 9007336727248970, 'p': 19}
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id: 229508
{'charpoly_factorization': [[[12, 4, -8, 1], 2]], 'hecke_orbit_code': 9007336727248970, 'p': 23}
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id: 229509
{'charpoly_factorization': [[[-3, -5, 3, 1], 2]], 'hecke_orbit_code': 9007336727248970, 'p': 29}
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id: 229510
{'charpoly_factorization': [[[-16, -24, -4, 1], 2]], 'hecke_orbit_code': 9007336727248970, 'p': 31}
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id: 229511
{'charpoly_factorization': [[[50653, 15059, 4958, 815, 134, 11, 1], 1]], 'hecke_orbit_code': 9007336727248970, 'p': 37}
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id: 229512
{'charpoly_factorization': [[[9, -39, 190, 85, 62, -7, 1], 1]], 'hecke_orbit_code': 9007336727248970, 'p': 41}
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id: 229513
{'charpoly_factorization': [[[148, -20, -8, 1], 2]], 'hecke_orbit_code': 9007336727248970, 'p': 43}
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id: 229514
{'charpoly_factorization': [[[48, 56, 16, 1], 2]], 'hecke_orbit_code': 9007336727248970, 'p': 47}
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id: 229515
{'charpoly_factorization': [[[46656, 30240, 14848, 2648, 344, 22, 1], 1]], 'hecke_orbit_code': 9007336727248970, 'p': 53}
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id: 229516
{'charpoly_factorization': [[[451584, 107520, 28288, 704, 176, 4, 1], 1]], 'hecke_orbit_code': 9007336727248970, 'p': 59}
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id: 229517
{'charpoly_factorization': [[[49, 133, 298, 157, 62, 9, 1], 1]], 'hecke_orbit_code': 9007336727248970, 'p': 61}
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id: 229518
{'charpoly_factorization': [[[256, -1024, 3840, -992, 192, -16, 1], 1]], 'hecke_orbit_code': 9007336727248970, 'p': 67}
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id: 229519
{'charpoly_factorization': [[[1296, -1440, 1168, -408, 104, -12, 1], 1]], 'hecke_orbit_code': 9007336727248970, 'p': 71}
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id: 229520
{'charpoly_factorization': [[[-8, -20, -2, 1], 2]], 'hecke_orbit_code': 9007336727248970, 'p': 73}
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id: 229521
{'charpoly_factorization': [[[20736, 10368, 4608, 576, 88, -4, 1], 1]], 'hecke_orbit_code': 9007336727248970, 'p': 79}
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id: 229522
{'charpoly_factorization': [[[17424, -8448, 3568, -520, 80, 4, 1], 1]], 'hecke_orbit_code': 9007336727248970, 'p': 83}
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id: 229523
{'charpoly_factorization': [[[301401, 81801, 27142, -243, 230, 9, 1], 1]], 'hecke_orbit_code': 9007336727248970, 'p': 89}
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id: 229524
{'charpoly_factorization': [[[-7, 27, -13, 1], 2]], 'hecke_orbit_code': 9007336727248970, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 3, 'label': '74.2.c.c', 'level': 74, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 115696000
{'hecke_orbit_code': 9007336727248970, 'n': 1, 'trace_an': 6}
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id: 115696001
{'hecke_orbit_code': 9007336727248970, 'n': 2, 'trace_an': -3}
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id: 115696002
{'hecke_orbit_code': 9007336727248970, 'n': 3, 'trace_an': 0}
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id: 115696003
{'hecke_orbit_code': 9007336727248970, 'n': 4, 'trace_an': -3}
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id: 115696004
{'hecke_orbit_code': 9007336727248970, 'n': 5, 'trace_an': -1}
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id: 115696005
{'hecke_orbit_code': 9007336727248970, 'n': 6, 'trace_an': 0}
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id: 115696006
{'hecke_orbit_code': 9007336727248970, 'n': 7, 'trace_an': 0}
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id: 115696007
{'hecke_orbit_code': 9007336727248970, 'n': 8, 'trace_an': 6}
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id: 115696008
{'hecke_orbit_code': 9007336727248970, 'n': 9, 'trace_an': -7}
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id: 115696009
{'hecke_orbit_code': 9007336727248970, 'n': 10, 'trace_an': 2}
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id: 115696010
{'hecke_orbit_code': 9007336727248970, 'n': 11, 'trace_an': 8}
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id: 115696011
{'hecke_orbit_code': 9007336727248970, 'n': 12, 'trace_an': 0}
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id: 115696012
{'hecke_orbit_code': 9007336727248970, 'n': 13, 'trace_an': -6}
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id: 115696013
{'hecke_orbit_code': 9007336727248970, 'n': 14, 'trace_an': 0}
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id: 115696014
{'hecke_orbit_code': 9007336727248970, 'n': 15, 'trace_an': -4}
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id: 115696015
{'hecke_orbit_code': 9007336727248970, 'n': 16, 'trace_an': -3}
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id: 115696016
{'hecke_orbit_code': 9007336727248970, 'n': 17, 'trace_an': 3}
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id: 115696017
{'hecke_orbit_code': 9007336727248970, 'n': 18, 'trace_an': -7}
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id: 115696018
{'hecke_orbit_code': 9007336727248970, 'n': 19, 'trace_an': -8}
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id: 115696019
{'hecke_orbit_code': 9007336727248970, 'n': 20, 'trace_an': -1}
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id: 115696020
{'hecke_orbit_code': 9007336727248970, 'n': 21, 'trace_an': 16}
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id: 115696021
{'hecke_orbit_code': 9007336727248970, 'n': 22, 'trace_an': -4}
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id: 115696022
{'hecke_orbit_code': 9007336727248970, 'n': 23, 'trace_an': 16}
-
id: 115696023
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id: 115696984
{'hecke_orbit_code': 9007336727248970, 'n': 985, 'trace_an': -18}
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id: 115696985
{'hecke_orbit_code': 9007336727248970, 'n': 986, 'trace_an': 29}
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id: 115696986
{'hecke_orbit_code': 9007336727248970, 'n': 987, 'trace_an': -104}
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id: 115696987
{'hecke_orbit_code': 9007336727248970, 'n': 988, 'trace_an': 32}
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id: 115696988
{'hecke_orbit_code': 9007336727248970, 'n': 989, 'trace_an': 96}
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id: 115696989
{'hecke_orbit_code': 9007336727248970, 'n': 990, 'trace_an': -32}
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id: 115696990
{'hecke_orbit_code': 9007336727248970, 'n': 991, 'trace_an': -8}
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id: 115696991
{'hecke_orbit_code': 9007336727248970, 'n': 992, 'trace_an': -4}
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id: 115696992
{'hecke_orbit_code': 9007336727248970, 'n': 993, 'trace_an': -208}
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id: 115696993
{'hecke_orbit_code': 9007336727248970, 'n': 994, 'trace_an': 16}
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id: 115696994
{'hecke_orbit_code': 9007336727248970, 'n': 995, 'trace_an': 144}
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id: 115696995
{'hecke_orbit_code': 9007336727248970, 'n': 996, 'trace_an': -8}
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id: 115696996
{'hecke_orbit_code': 9007336727248970, 'n': 997, 'trace_an': -14}
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id: 115696997
{'hecke_orbit_code': 9007336727248970, 'n': 998, 'trace_an': 96}
-
id: 115696998
{'hecke_orbit_code': 9007336727248970, 'n': 999, 'trace_an': 52}
-
id: 115696999
{'hecke_orbit_code': 9007336727248970, 'n': 1000, 'trace_an': -42}