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mf_newforms • Show schema
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{'Nk2': 8820, 'analytic_conductor': 17.607013645692323, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 21, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [2205, 2, [1226, 442, 1081], [1, 2, 1]], 'cm_discs': [], 'conrey_index': 881, 'dim': 16, 'field_disc': 98980394085325471744, 'field_disc_factorization': [[2, 48], [593, 2]], 'field_poly': [17, -208, 1160, -3912, 8956, -14872, 18744, -18520, 14669, -9472, 5036, -2192, 790, -224, 52, -8, 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': [[2, [1, 0, 680, 0, 3176, 0, 4664, 0, 3186, 0, 1160, 0, 232, 0, 24, 0, 1]], [17, [4112, -1152, -4064, 384, 1160, 32, -72, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510867635144861, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4096, 'hecke_ring_index_factorization': [[2, 12]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 21, 3, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2205.2.b.d', 'level': 2205, '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': [3, 5, 7], 'level_radical': 105, 'minimal_twist': '2205.2.b.c', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{2}-\\beta _{10})q^{2}+(-1+\\beta _{3}-\\beta _{6}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2205.2.b', 'trace_display': [0, 0, 16, 0], 'trace_hash': 395826719134651114, 'trace_moments': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 8820, 'analytic_conductor': 17.607013645692323, 'char_conductor': 21, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [2205, 2, [1226, 442, 1081], [1, 2, 1]], 'conrey_index': 881, 'cusp_dim': 304, 'dim': 56, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 17], 'hecke_orbit_code': 68753033373, 'hecke_orbit_dims': [12, 12, 16, 16], 'label': '2205.2.b', 'level': 2205, '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': [3, 5, 7], 'level_radical': 105, 'mf_dim': 368, 'mf_new_dim': 56, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 56, 'sturm_bound': 672, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [56, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 32, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 56, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -80, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -48, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -56, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -176, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 112, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 176, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -112, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -16, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 368, 0, 0, 0, 0, 0, -160, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 32, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 192, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -8, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, -16, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 40, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 64, 0, 0, -296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -168, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 160, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, -88, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, -16, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 344, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 208, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -192, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -128, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -456, 0, 0, 752, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -512, 0, 0, 0, 0, 0, -64, 0, 0, -416, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 656, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 456, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 816, 0, 0, 0, 0, 0, 48, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 640, 0, 0, 0, 0, 0, 144, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -112, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 512, 0, 0, -400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 192, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 272, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -176, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, -376, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -656, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -400, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 112, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, 40, 0, 0, 560, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 496, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -216, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, -16, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43025130
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 881, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 13510867635144861, 'source_is_minimal': True, 'source_label': '2205.2.b.d.881.7', 'source_level': 2205, 'target_conrey_index': 881, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 13510867635144861, 'target_is_minimal': True, 'target_label': '2205.2.b.d.881.7', 'target_level': 2205, 'twist_class_label': '2205.2.b.c.881.7', 'twist_class_level': 2205, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43025131
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 881, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 13510867635144861, 'source_is_minimal': True, 'source_label': '2205.2.b.d.881.7', 'source_level': 2205, 'target_conrey_index': 881, 'target_dim': 16, 'target_embedding_index': 10, 'target_hecke_orbit_code': 9007268007774365, 'target_is_minimal': True, 'target_label': '2205.2.b.c.881.10', 'target_level': 2205, 'twist_class_label': '2205.2.b.c.881.7', 'twist_class_level': 2205, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43025132
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 881, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 13510867635144861, 'source_is_minimal': True, 'source_label': '2205.2.b.d.881.7', 'source_level': 2205, 'target_conrey_index': 881, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007268007774365, 'target_is_minimal': True, 'target_label': '2205.2.b.c.881.7', 'target_level': 2205, 'twist_class_label': '2205.2.b.c.881.7', 'twist_class_level': 2205, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 43025133
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 881, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 13510867635144861, 'source_is_minimal': True, 'source_label': '2205.2.b.d.881.7', 'source_level': 2205, 'target_conrey_index': 881, 'target_dim': 16, 'target_embedding_index': 10, 'target_hecke_orbit_code': 13510867635144861, 'target_is_minimal': True, 'target_label': '2205.2.b.d.881.10', 'target_level': 2205, 'twist_class_label': '2205.2.b.c.881.7', 'twist_class_level': 2205, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2496475
{'charpoly_factorization': [[[1, 0, 680, 0, 3176, 0, 4664, 0, 3186, 0, 1160, 0, 232, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 13510867635144861, 'p': 2}
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id: 2496476
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13510867635144861, 'p': 3}
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id: 2496477
{'charpoly_factorization': [[[-1, 1], 16]], 'hecke_orbit_code': 13510867635144861, 'p': 5}
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id: 2496478
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13510867635144861, 'p': 7}
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id: 2496479
{'charpoly_factorization': [[[565504, 0, 3975168, 0, 4892928, 0, 2382336, 0, 542304, 0, 60800, 0, 3472, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 13510867635144861, 'p': 11}
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id: 2496480
{'charpoly_factorization': [[[4096, 0, 172032, 0, 1200128, 0, 840704, 0, 238720, 0, 33408, 0, 2368, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 13510867635144861, 'p': 13}
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id: 2496481
{'charpoly_factorization': [[[4112, -1152, -4064, 384, 1160, 32, -72, 0, 1], 2]], 'hecke_orbit_code': 13510867635144861, 'p': 17}
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id: 2496482
{'charpoly_factorization': [[[59043856, 0, 909648256, 0, 562242464, 0, 106144320, 0, 9523352, 0, 463392, 0, 12520, 0, 176, 0, 1], 1]], 'hecke_orbit_code': 13510867635144861, 'p': 19}
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id: 2496483
{'charpoly_factorization': [[[14776336, 0, 613363840, 0, 315949280, 0, 65186368, 0, 6858008, 0, 390496, 0, 11832, 0, 176, 0, 1], 1]], 'hecke_orbit_code': 13510867635144861, 'p': 23}
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id: 2496484
{'charpoly_factorization': [[[913490176, 0, 5644096512, 0, 9166087936, 0, 1616876288, 0, 99012704, 0, 2898112, 0, 44144, 0, 336, 0, 1], 1]], 'hecke_orbit_code': 13510867635144861, 'p': 29}
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id: 2496485
{'charpoly_factorization': [[[490533904, 0, 930796160, 0, 579238816, 0, 142151616, 0, 14128536, 0, 679136, 0, 16872, 0, 208, 0, 1], 1]], 'hecke_orbit_code': 13510867635144861, 'p': 31}
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id: 2496486
{'charpoly_factorization': [[[64, 3840, -3328, -1792, 1744, -32, -96, 0, 1], 2]], 'hecke_orbit_code': 13510867635144861, 'p': 37}
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id: 2496487
{'charpoly_factorization': [[[531968, -623616, -4352, 57344, 224, -1728, -64, 16, 1], 2]], 'hecke_orbit_code': 13510867635144861, 'p': 41}
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id: 2496488
{'charpoly_factorization': [[[332032, -416768, 163328, -13056, -5824, 1216, 0, -16, 1], 2]], 'hecke_orbit_code': 13510867635144861, 'p': 43}
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id: 2496489
{'charpoly_factorization': [[[-1268464, 550528, 114848, -50752, -2104, 1568, -40, -16, 1], 2]], 'hecke_orbit_code': 13510867635144861, 'p': 47}
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id: 2496490
{'charpoly_factorization': [[[2196833837584, 0, 22953747453056, 0, 2732593994208, 0, 115837005376, 0, 2455641240, 0, 29025888, 0, 194296, 0, 688, 0, 1], 1]], 'hecke_orbit_code': 13510867635144861, 'p': 53}
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id: 2496491
{'charpoly_factorization': [[[1170496, -1199616, 13440, 104064, 2512, -2368, -112, 16, 1], 2]], 'hecke_orbit_code': 13510867635144861, 'p': 59}
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id: 2496492
{'charpoly_factorization': [[[750356507028496, 0, 118433292802432, 0, 7501980964256, 0, 245756511296, 0, 4490241432, 0, 46518816, 0, 269928, 0, 816, 0, 1], 1]], 'hecke_orbit_code': 13510867635144861, 'p': 61}
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id: 2496493
{'charpoly_factorization': [[[-1984, 41728, -96640, 20480, 11504, -224, -208, 0, 1], 2]], 'hecke_orbit_code': 13510867635144861, 'p': 67}
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id: 2496494
{'charpoly_factorization': [[[3204787396864, 0, 2691925780480, 0, 493230094592, 0, 36316332544, 0, 1267122784, 0, 22266240, 0, 192656, 0, 736, 0, 1], 1]], 'hecke_orbit_code': 13510867635144861, 'p': 71}
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id: 2496495
{'charpoly_factorization': [[[238643974144, 0, 505296478208, 0, 232206397440, 0, 33817529344, 0, 1303403648, 0, 21654912, 0, 176576, 0, 688, 0, 1], 1]], 'hecke_orbit_code': 13510867635144861, 'p': 73}
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id: 2496496
{'charpoly_factorization': [[[-40040432, 23123072, -702816, -630208, 35736, 5600, -344, -16, 1], 2]], 'hecke_orbit_code': 13510867635144861, 'p': 79}
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id: 2496497
{'charpoly_factorization': [[[1595408, 2109696, -755552, -86016, 32264, 832, -360, 0, 1], 2]], 'hecke_orbit_code': 13510867635144861, 'p': 83}
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id: 2496498
{'charpoly_factorization': [[[442432, -784896, 201728, 72960, -32016, 2624, 192, -32, 1], 2]], 'hecke_orbit_code': 13510867635144861, 'p': 89}
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id: 2496499
{'charpoly_factorization': [[[2089347054309376, 0, 395738243014656, 0, 23767195684864, 0, 672273433600, 0, 10256528512, 0, 88295552, 0, 423488, 0, 1040, 0, 1], 1]], 'hecke_orbit_code': 13510867635144861, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 4, 'label': '2205.2.b.d', 'level': 2205, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 35856559
{'hecke_orbit_code': 13510867635144861, 'n': 1, 'trace_an': 16}
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id: 35856560
{'hecke_orbit_code': 13510867635144861, 'n': 2, 'trace_an': 0}
-
id: 35856561
{'hecke_orbit_code': 13510867635144861, 'n': 3, 'trace_an': 0}
-
id: 35856562
{'hecke_orbit_code': 13510867635144861, 'n': 4, 'trace_an': -16}
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id: 35856563
{'hecke_orbit_code': 13510867635144861, 'n': 5, 'trace_an': 16}
-
id: 35856564
{'hecke_orbit_code': 13510867635144861, 'n': 6, 'trace_an': 0}
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id: 35856565
{'hecke_orbit_code': 13510867635144861, 'n': 7, 'trace_an': 0}
-
id: 35856566
{'hecke_orbit_code': 13510867635144861, 'n': 8, 'trace_an': 0}
-
id: 35856567
{'hecke_orbit_code': 13510867635144861, 'n': 9, 'trace_an': 0}
-
id: 35856568
{'hecke_orbit_code': 13510867635144861, 'n': 10, 'trace_an': 0}
-
id: 35856569
{'hecke_orbit_code': 13510867635144861, 'n': 11, 'trace_an': 0}
-
id: 35856570
{'hecke_orbit_code': 13510867635144861, 'n': 12, 'trace_an': 0}
-
id: 35856571
{'hecke_orbit_code': 13510867635144861, 'n': 13, 'trace_an': 0}
-
id: 35856572
{'hecke_orbit_code': 13510867635144861, 'n': 14, 'trace_an': 0}
-
id: 35856573
{'hecke_orbit_code': 13510867635144861, 'n': 15, 'trace_an': 0}
-
id: 35856574
{'hecke_orbit_code': 13510867635144861, 'n': 16, 'trace_an': 0}
-
id: 35856575
{'hecke_orbit_code': 13510867635144861, 'n': 17, 'trace_an': 0}
-
id: 35856576
{'hecke_orbit_code': 13510867635144861, 'n': 18, 'trace_an': 0}
-
id: 35856577
{'hecke_orbit_code': 13510867635144861, 'n': 19, 'trace_an': 0}
-
id: 35856578
{'hecke_orbit_code': 13510867635144861, 'n': 20, 'trace_an': -16}
-
id: 35856579
{'hecke_orbit_code': 13510867635144861, 'n': 21, 'trace_an': 0}
-
id: 35856580
{'hecke_orbit_code': 13510867635144861, 'n': 22, 'trace_an': -16}
-
id: 35856581
{'hecke_orbit_code': 13510867635144861, 'n': 23, 'trace_an': 0}
-
id: 35856582
{'hecke_orbit_code': 13510867635144861, 'n': 24, 'trace_an': 0}
-
id: 35856583
{'hecke_orbit_code': 13510867635144861, 'n': 25, 'trace_an': 16}
-
id: 35856584
{'hecke_orbit_code': 13510867635144861, 'n': 26, 'trace_an': 32}
-
id: 35856585
{'hecke_orbit_code': 13510867635144861, 'n': 27, 'trace_an': 0}
-
id: 35856586
{'hecke_orbit_code': 13510867635144861, 'n': 28, 'trace_an': 0}
-
id: 35856587
{'hecke_orbit_code': 13510867635144861, 'n': 29, 'trace_an': 0}
-
id: 35856588
{'hecke_orbit_code': 13510867635144861, 'n': 30, 'trace_an': 0}
-
id: 35856589
{'hecke_orbit_code': 13510867635144861, 'n': 31, 'trace_an': 0}
-
id: 35856590
{'hecke_orbit_code': 13510867635144861, 'n': 32, 'trace_an': 0}
-
id: 35856591
{'hecke_orbit_code': 13510867635144861, 'n': 33, 'trace_an': 0}
-
id: 35856592
{'hecke_orbit_code': 13510867635144861, 'n': 34, 'trace_an': 0}
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