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{'Nk2': 4440, 'analytic_conductor': 8.863394624362122, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [37, 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': [1110, 1, [371, 667, 631], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 54764, 'field_disc_factorization': [[2, 2], [13691, 1]], 'field_poly': [2, 3, -9, -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': [[7, [-16, 40, -13, -4, 1]], [11, [-40, 68, -23, -2, 1]], [13, [328, -44, -38, 3, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326224470, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1110.2.a.s', 'level': 1110, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 37], 'level_radical': 1110, 'minimal_twist': '1110.2.a.s', 'nf_label': '4.4.54764.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+(1+\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1110.2.a', 'trace_display': [4, 4, 4, 4], 'trace_hash': 159907238812394349, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.069', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.158', 'prec': 17}, {'__RealLiteral__': 0, 'data': '43.692', 'prec': 20}, {'__RealLiteral__': 0, 'data': '28.950', 'prec': 20}, {'__RealLiteral__': 0, 'data': '701.523', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, -3, 4, 4, 4, 6, 4, 3, 4, 4, 2, -1, 4, 4, -3, 4, 4, -3, 4, 3, 4, 2, 6, 4, 4, -4, 3, -3, 4, -11, 4, -5, 2, 4, -1, 0, 4, 14, 4, 6, -3, -22, 4, 2, 4, 3, -3, -8, 4, -5, 3, 4, 4, -3, 2, 6, 6, -1, 4, -18, 4, -5, -4, 4, 3, -4, -3, 16, 4, 4, -11, -1, 4, 6, -5, -3, 2, -5, 4, -13, -1, 3, 0, 3, 4, 7, 14, 2, 4, -26, 6, 0, -3, 4, -22, 13, 4, 8, 2, -4, 4, -29, 3, -1, -3, -3, -8, 0, 4, 6, -5, -11, 3, 4, 4, -7, 4, -5, -3, -22, 2, -51, 6, 4, 6, -16, -1, 23, 4, 0, -18, -49, 4, -3, -5, 14, -4, -8, 4, 5, 3, 6, -4, 3, -3, 11, 16, -22, 4, -55, 4, 0, -11, 2, -1, 45, 4, 33, 6, 3, -5, -32, -3, 4, 2, -8, -5, -4, 4, 8, -13, -5, -1, -4, 3, 6, 0, 4, 3, -18, 4, -24, 7, -3, 14, -23, 2, 36, 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-
mf_newspaces • Show schema
Hide schema
{'AL_dims': [[[[2, -1], [3, 1], [5, 1], [37, -1]], 2, 1], [[[2, 1], [3, 1], [5, -1], [37, -1]], 1, 1], [[[2, -1], [3, 1], [5, -1], [37, 1]], 1, 1], [[[2, -1], [3, -1], [5, 1], [37, 1]], 1, 1], [[[2, -1], [3, 1], [5, -1], [37, -1]], 2, 2], [[[2, 1], [3, 1], [5, -1], [37, 1]], 2, 1], [[[2, 1], [3, -1], [5, 1], [37, 1]], 2, 2], [[[2, -1], [3, 1], [5, 1], [37, 1]], 1, 1], [[[2, 1], [3, -1], [5, -1], [37, -1]], 3, 2], [[[2, 1], [3, -1], [5, 1], [37, -1]], 1, 1], [[[2, -1], [3, -1], [5, 1], [37, -1]], 2, 2], [[[2, -1], [3, -1], [5, -1], [37, 1]], 4, 1], [[[2, 1], [3, 1], [5, 1], [37, 1]], 3, 3]], 'ALdims': [3, 0, 2, 1, 2, 1, 0, 3, 1, 2, 1, 2, 1, 2, 4, 0], 'Nk2': 4440, 'analytic_conductor': 8.863394624362122, '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': [1110, 1, [371, 667, 631], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 221, 'dim': 25, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13], 'hecke_orbit_code': 33555542, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4], 'label': '1110.2.a', 'level': 1110, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 37], 'level_radical': 1110, 'mf_dim': 236, 'mf_new_dim': 25, 'num_forms': 19, 'plus_dim': 9, 'prim_orbit_index': 1, 'relative_dim': 25, 'sturm_bound': 456, 'trace_bound': 7, 'trace_display': [1, 1, 1, 8], 'traces': [25, 1, 1, 25, 1, 1, 8, 1, 25, 1, -4, 1, -10, -8, 1, 25, -14, 1, 20, 1, 8, -12, -8, 1, 25, -2, 1, 8, 14, 1, 0, 1, 12, 18, 8, 25, -3, -20, 14, 1, 2, 0, 4, -4, 1, 0, -32, 1, 33, 1, 2, -10, -34, 1, 12, -8, 12, -18, -4, 1, -2, 8, 8, 25, -2, -4, -12, -14, 8, 8, -24, 1, -14, 1, 1, 20, -16, -2, 32, 1, 25, 10, -28, 8, 18, -12, 14, -12, -6, 1, -16, -8, 8, 16, -12, 1, 2, -7, -4, 25, -66, 2, 40, -2, 0, -26, 28, 1, -18, 12, 1, 8, -46, 4, 8, 14, -10, -12, 48, 1, 61, 14, -22, 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48, -16, 180, 114, -68, -58, 192, 0, -152, -58, 40, 6, -48, -28, 750, 208, -186, 24, -60, -44, -88, -96, -3, -12, 632, 1], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 48170237
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224470, 'source_is_minimal': True, 'source_label': '1110.2.a.s.1.1', 'source_level': 1110, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326224470, 'target_is_minimal': True, 'target_label': '1110.2.a.s.1.1', 'target_level': 1110, 'twist_class_label': '1110.2.a.s.1.1', 'twist_class_level': 1110, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48170238
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224470, 'source_is_minimal': True, 'source_label': '1110.2.a.s.1.1', 'source_level': 1110, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 157625986991525122, 'target_is_minimal': False, 'target_label': '3330.2.a.bj.1.1', 'target_level': 3330, 'twist_class_label': '1110.2.a.s.1.1', 'twist_class_level': 1110, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48170239
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224470, 'source_is_minimal': True, 'source_label': '1110.2.a.s.1.1', 'source_level': 1110, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 261208778421052080, 'target_is_minimal': False, 'target_label': '8880.2.a.cg.1.4', 'target_level': 8880, 'twist_class_label': '1110.2.a.s.1.1', 'twist_class_level': 1110, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48170240
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224470, 'source_is_minimal': True, 'source_label': '1110.2.a.s.1.1', 'source_level': 1110, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 274719577303160238, 'target_is_minimal': False, 'target_label': '5550.2.a.cj.1.4', 'target_level': 5550, 'twist_class_label': '1110.2.a.s.1.1', 'twist_class_level': 1110, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1692575
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 81064793326224470, 'p': 2}
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id: 1692576
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 81064793326224470, 'p': 3}
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id: 1692577
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 81064793326224470, 'p': 5}
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id: 1692578
{'charpoly_factorization': [[[-16, 40, -13, -4, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 7}
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id: 1692579
{'charpoly_factorization': [[[-40, 68, -23, -2, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 11}
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id: 1692580
{'charpoly_factorization': [[[328, -44, -38, 3, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 13}
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id: 1692581
{'charpoly_factorization': [[[-764, 412, -47, -6, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 17}
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id: 1692582
{'charpoly_factorization': [[[-80, 208, -50, -3, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 19}
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id: 1692583
{'charpoly_factorization': [[[1280, -64, -76, 1, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 23}
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id: 1692584
{'charpoly_factorization': [[[1208, -204, -82, 3, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 29}
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id: 1692585
{'charpoly_factorization': [[[32, 0, -38, -3, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 31}
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id: 1692586
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 81064793326224470, 'p': 37}
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id: 1692587
{'charpoly_factorization': [[[-80, -84, 4, 11, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 41}
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id: 1692588
{'charpoly_factorization': [[[1280, -128, -76, 5, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 43}
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id: 1692589
{'charpoly_factorization': [[[1280, -96, -88, 0, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 47}
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id: 1692590
{'charpoly_factorization': [[[-2524, -244, 121, 22, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 53}
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id: 1692591
{'charpoly_factorization': [[[-256, -320, -52, 8, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 59}
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id: 1692592
{'charpoly_factorization': [[[1096, 196, -130, 5, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 61}
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id: 1692593
{'charpoly_factorization': [[[128, 32, -72, -6, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 67}
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id: 1692594
{'charpoly_factorization': [[[512, -1536, -56, 18, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 71}
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id: 1692595
{'charpoly_factorization': [[[-2336, -1132, -128, 5, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 73}
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id: 1692596
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 81064793326224470, 'p': 79}
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id: 1692597
{'charpoly_factorization': [[[5344, 704, -234, 1, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 83}
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id: 1692598
{'charpoly_factorization': [[[-3208, -1956, -234, 5, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 89}
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id: 1692599
{'charpoly_factorization': [[[9344, 340, -236, -7, 1], 1]], 'hecke_orbit_code': 81064793326224470, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '1110.2.a.s', 'level': 1110, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 243675000
{'hecke_orbit_code': 81064793326224470, 'n': 1, 'trace_an': 4}
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id: 243675001
{'hecke_orbit_code': 81064793326224470, 'n': 2, 'trace_an': 4}
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id: 243675002
{'hecke_orbit_code': 81064793326224470, 'n': 3, 'trace_an': 4}
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id: 243675003
{'hecke_orbit_code': 81064793326224470, 'n': 4, 'trace_an': 4}
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id: 243675004
{'hecke_orbit_code': 81064793326224470, 'n': 5, 'trace_an': 4}
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id: 243675005
{'hecke_orbit_code': 81064793326224470, 'n': 6, 'trace_an': 4}
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id: 243675006
{'hecke_orbit_code': 81064793326224470, 'n': 7, 'trace_an': 4}
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id: 243675007
{'hecke_orbit_code': 81064793326224470, 'n': 8, 'trace_an': 4}
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id: 243675008
{'hecke_orbit_code': 81064793326224470, 'n': 9, 'trace_an': 4}
-
id: 243675009
{'hecke_orbit_code': 81064793326224470, 'n': 10, 'trace_an': 4}
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id: 243675010
{'hecke_orbit_code': 81064793326224470, 'n': 11, 'trace_an': 2}
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id: 243675011
{'hecke_orbit_code': 81064793326224470, 'n': 12, 'trace_an': 4}
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id: 243675012
{'hecke_orbit_code': 81064793326224470, 'n': 13, 'trace_an': -3}
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id: 243675013
{'hecke_orbit_code': 81064793326224470, 'n': 14, 'trace_an': 4}
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id: 243675014
{'hecke_orbit_code': 81064793326224470, 'n': 15, 'trace_an': 4}
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id: 243675015
{'hecke_orbit_code': 81064793326224470, 'n': 16, 'trace_an': 4}
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id: 243675016
{'hecke_orbit_code': 81064793326224470, 'n': 17, 'trace_an': 6}
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id: 243675017
{'hecke_orbit_code': 81064793326224470, 'n': 18, 'trace_an': 4}
-
id: 243675018
{'hecke_orbit_code': 81064793326224470, 'n': 19, 'trace_an': 3}
-
id: 243675019
{'hecke_orbit_code': 81064793326224470, 'n': 20, 'trace_an': 4}
-
id: 243675020
{'hecke_orbit_code': 81064793326224470, 'n': 21, 'trace_an': 4}
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id: 243675021
{'hecke_orbit_code': 81064793326224470, 'n': 22, 'trace_an': 2}
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id: 243675022
{'hecke_orbit_code': 81064793326224470, 'n': 23, 'trace_an': -1}
-
id: 243675023
{'hecke_orbit_code': 81064793326224470, 'n': 24, 'trace_an': 4}
-
id: 243675024
{'hecke_orbit_code': 81064793326224470, 'n': 25, 'trace_an': 4}
-
id: 243675025
{'hecke_orbit_code': 81064793326224470, 'n': 26, 'trace_an': -3}
-
id: 243675026
{'hecke_orbit_code': 81064793326224470, 'n': 27, 'trace_an': 4}
-
id: 243675027
{'hecke_orbit_code': 81064793326224470, 'n': 28, 'trace_an': 4}
-
id: 243675028
{'hecke_orbit_code': 81064793326224470, 'n': 29, 'trace_an': -3}
-
id: 243675029
{'hecke_orbit_code': 81064793326224470, 'n': 30, 'trace_an': 4}
-
id: 243675030
{'hecke_orbit_code': 81064793326224470, 'n': 31, 'trace_an': 3}
-
id: 243675031
{'hecke_orbit_code': 81064793326224470, 'n': 32, 'trace_an': 4}
-
id: 243675032
{'hecke_orbit_code': 81064793326224470, 'n': 33, 'trace_an': 2}
-
id: 243675033
{'hecke_orbit_code': 81064793326224470, 'n': 34, 'trace_an': 6}
-
id: 243675034
{'hecke_orbit_code': 81064793326224470, 'n': 35, 'trace_an': 4}
-
id: 243675035
{'hecke_orbit_code': 81064793326224470, 'n': 36, 'trace_an': 4}
-
id: 243675036
{'hecke_orbit_code': 81064793326224470, 'n': 37, 'trace_an': -4}
-
id: 243675037
{'hecke_orbit_code': 81064793326224470, 'n': 38, 'trace_an': 3}
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