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mf_newforms • Show schema
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{'Nk2': 2856, 'analytic_conductor': 5.701318704319419, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [714, 4, [239, 409, 547], [4, 4, 1]], 'cm_discs': [], 'conrey_index': 421, 'dim': 12, 'field_disc': 11754748951549444096, 'field_disc_factorization': [[2, 24], [193, 2], [4337, 2]], 'field_poly': [256, 0, 2496, 0, 4804, 0, 2748, 0, 509, 0, 38, 0, 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': [[5, [256, 1280, 3200, 2720, 964, -184, 1480, 732, 181, 0, 8, 4, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511623549387466, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 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mf_hecke_cc • Show schema
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-0.29728191989098557, -0.36055995497532084, -0.3610282842272729, -0.15630306469046973, -0.14796532276015759, -0.21325733900787636, -0.18796553381103037, -0.3924428697226378, -0.09058054730463605, -0.44347615798492424, -0.34304434678145285, 0.07406012877989886, 0.1321522902355881, -0.3885464417407129, -0.36248245075232843, -0.2632854623531946, -0.13018385680171385], 'char_orbit_index': 13, 'conrey_index': 463, 'dual_conrey_index': 421, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 7, 'embedding_root_imag': 3.3806682419112173, 'embedding_root_real': 0.0, 'hecke_orbit': 4, 'hecke_orbit_code': 13511623549387466, 'label': '714.2.m.d.463.1', 'level': 714, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2856, 'analytic_conductor': 5.701318704319419, 'char_conductor': 17, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [714, 4, [239, 409, 547], [4, 4, 1]], 'conrey_index': 421, 'cusp_dim': 272, 'dim': 40, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 824667275978, 'hecke_orbit_dims': [4, 4, 8, 12, 12], 'label': '714.2.m', 'level': 714, '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, 7, 17], 'level_radical': 714, 'mf_dim': 304, 'mf_new_dim': 40, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 20, 'sturm_bound': 288, 'trace_bound': 5, 'trace_display': [0, 0, -8, 0], 'traces': [40, 0, 0, -40, -8, 0, 0, 0, 0, 8, -16, 0, 16, 0, 0, 40, 8, -8, 0, 8, -8, -8, 0, 0, 0, 0, 0, 0, 40, -16, 16, 0, 16, 16, 0, 0, 0, 0, 16, -8, 8, 0, 0, 16, 8, 0, 0, 0, 0, -40, -16, -16, 0, 0, -32, 0, 24, 0, 0, 0, -40, 0, 0, -40, 32, 0, -48, -8, 16, 0, -32, 8, 8, 8, 0, 0, 0, -8, 48, -8, -40, 8, 0, 8, -24, 32, 0, 8, 32, 8, 8, 0, 0, 0, -32, 0, 24, 8, -16, 0, 32, 8, 0, 0, 0, -32, -64, 0, 0, 0, 0, 0, 56, 0, -32, -40, 0, -16, 0, 16, 0, -8, -32, -16, -64, 0, 0, 0, 32, 32, 32, -16, -8, 0, 16, -16, 32, 0, -16, 0, -16, -32, -32, 0, 0, -72, 0, 0, -16, 0, 0, 0, -16, 32, 0, -16, 128, -32, 16, 8, 0, 0, 40, -8, 32, -48, 32, 0, 56, -40, 16, 0, -56, 0, -32, -16, 24, 0, 0, -8, -88, 0, 48, 0, 0, 32, -80, 0, 0, 16, 160, 0, 40, 72, 0, 0, -8, 8, -64, 40, -48, 0, -64, 16, 48, 0, 0, 16, 32, 0, 40, 0, 0, 24, 224, 0, -16, 8, 0, 32, 48, 0, 0, 0, -56, 24, -192, -24, 0, 0, 0, 0, -8, 0, 80, 0, -96, 0, -64, 0, -152, 72, 0, 40, -8, 0, 0, 0, -40, 32, -160, 0, 0, 64, -80, 40, 0, 0, -64, -32, -40, 32, 0, 0, 32, -16, -24, 48, 152, 0, 64, 8, 16, 0, -272, -16, -128, -64, -16, 0, 0, -32, 48, 32, 96, 16, 0, -8, -8, 144, 0, -8, -176, 0, 80, -8, 0, 0, 128, 0, 64, 32, -16, 0, -80, 24, 80, 0, 56, 96, -96, 8, 8, 0, 0, -48, 72, 16, -32, 8, 0, 32, -96, 40, 0, 16, 48, -8, 64, 48, 0, 0, 0, 0, 32, -8, -120, 0, 16, 24, 32, 0, 0, -32, -80, -88, 128, 0, 0, 32, -16, -8, -112, 32, 0, -32, 32, 80, 0, -8, -312, -136, 128, -8, 0, 0, -16, 0, 8, -112, 0, 0, 0, -128, 0, 0, 224, -8, -72, 32, 80, 0, 0, 0, 0, 104, -32, -24, 0, -96, -64, -8, 0, -48, 320, 16, 40, 96, 0, 0, 8, 96, 224, -32, 8, 0, -64, -8, 144, 0, 80, 0, 48, 0, -48, 0, 0, -160, 32, 0, 144, -80, 0, 32, -176, -80, 0, 64, -64, -32, 128, 0, 0, 0, -64, 0, -96, -48, -176, 0, 40, 88, 32, 0, 16, -96, 16, 0, -72, 0, 0, -56, -32, 32, 96, 0, 0, 304, 8, 32, 0, 8, -96, 40, 0, -120, 0, 0, 16, -32, 32, 16, 0, 0, -176, 0, 0, 0, -288, -16, 128, -72, 8, 0, 0, 0, -128, 8, 112, -8, 0, 32, -104, 64, 0, 16, 0, 32, -88, 64, 0, 0, -128, 0, 208, 128, 64, 0, 112, 16, 0, 0, 24, 48, 64, -32, 128, 0, 0, -32, 8, 0, 144, -32, 0, -128, -128, 16, 0, 32, 32, 8, 176, -24, 0, 0, -128, 56, 16, -16, 128, 0, -112, 16, 208, 0, 104, -32, -40, 40, -64, 0, 0, 24, -16, 16, -96, 0, 0, 0, 72, 32, 0, 16, 368, -192, 0, 32, 0, 0, -88, 32, 96, 16, -160, 0, -192, 0, -64, 0, 0, 16, -144, 72, -32, 0, 0, 0, 96, -192, -80, 0, 0, 0, 64, 16, 0, 0, -32, 0, 232, -96, 0, 0, -104, -8, -160, 0, -8, 0, -128, 16, 224, 0, -192, -32, 88, -104, 64, 0, 0, -16, -96, 16, -152, -88, 0, -128, -88, 16, 0, 32, 80, 64, 64, -16, 0, 0, 32, -8, -136, -64, 32, 0, -32, -24, 64, 0, -192, -128, -32, -40, -72, 0, 0, 8, -8, -32, 256, -32, 0, 288, 32, 48, 0, 8, -48, -32, 24, 256, 0, 0, 8, -72, 0, -56, -24, 0, -32, 40, 128, 0, -64, -16, -160, 0, -80, 0, 0, 80, 48, 56, 0, -8, 0, 0, -120, 32, 0, 32, -64, -8, -80, 16, 0, 0, -96, -24, 32, -128, 48, 0, 256, -16, -48, 0, -144, -176, -160, 8, -32, 0, 0, 88, -168, 64, 224, 0, 0, 256, -32, -48, 0, 64, -16, 0, 64, -8, 0, 0, 32, 48, 160, -32, 240, 0, 0, 80, -32, 0, 0, 0, -136, -224, 256, 0, 0, 96, 48, -16, 96, 64, 0, -160, 8, -160, 0, 0, 128, 64, -24, -40, 0, 0, -80, -72, 24, -224, 304, 0, -272, 0, -16, 0, -112, 64, 0, 8, 32, 0, 0, -8, -16, -296, 112, 64, 0, 48, 96, -40, 0, -24, 96, 48, -48, -48, 0, 0, -40, -8, 144, 64, -120, 0, 0, -16, -320, 0, 8, -48, 88, -48, 16, 0, 0, 8, -80, 0, -96, -192, 0, -16, 16, 64, 0, -32, -16, -112, -160, 0, 0, 0, 80, -40, 40, 0, -32, 0, 192, -168, 416, 0, -232, 32, -32, -24, 8, 0, 0, -224, 0, -64, 128, 0, 0, -336, 0, 16, 0, 16, 224, -8, -24, 96, 0, 0, -80, -96, 96, -32, -344, 0, 64, -48, 128, 0, 0, 0, -96, -64, 16, 0, 0, -160, 96, 0, 80, -88, 0, 56, -32, 288, 0, -24, 336, -80, 184, 192, 0, 0, 32, 24, -448, 80, -128, 0, -192, 16, 160, 0, -88, 240, 160, 0, -80, 0, 0, 0, 200, -64, -16, 8, 0, 144, 320, 0, 0, -32, -48, -80, -152, -8, 0, 0, 0, 16, 112, 96, 192, 0, -208, 0, -160, 0, 96, 64, 224, 112, -32, 0, 0, -32, 64, 152, -336, -40, 0, -72, -240, 160, 0, 0, -128, -32, -144, -40, 0, 0, 48, 8, 0, 208, 192, 0, 400, 136, 32, 0, -288, 64, -80, 0, -64, 0, 0, 40, 104, -80, 16, -32], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43486742
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 463, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511623549387466, 'source_is_minimal': True, 'source_label': '714.2.m.d.463.1', 'source_level': 714, 'target_conrey_index': 463, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511623549387466, 'target_is_minimal': True, 'target_label': '714.2.m.d.463.1', 'target_level': 714, 'twist_class_label': '714.2.m.d.421.1', 'twist_class_level': 714, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43486743
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 463, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511623549387466, 'source_is_minimal': True, 'source_label': '714.2.m.d.463.1', 'source_level': 714, 'target_conrey_index': 1891, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27022628589930590, 'target_is_minimal': False, 'target_label': '2142.2.p.g.1891.6', 'target_level': 2142, 'twist_class_label': '714.2.m.d.421.1', 'twist_class_level': 714, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43486744
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 463, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511623549387466, 'source_is_minimal': True, 'source_label': '714.2.m.d.463.1', 'source_level': 714, 'target_conrey_index': 421, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511623549387466, 'target_is_minimal': True, 'target_label': '714.2.m.d.421.1', 'target_level': 714, 'twist_class_label': '714.2.m.d.421.1', 'twist_class_level': 714, 'twisting_char_label': '17.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 43486745
{'conductor': 51, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 463, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511623549387466, 'source_is_minimal': True, 'source_label': '714.2.m.d.463.1', 'source_level': 714, 'target_conrey_index': 1135, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27022628589930590, 'target_is_minimal': False, 'target_label': '2142.2.p.g.1135.6', 'target_level': 2142, 'twist_class_label': '714.2.m.d.421.1', 'twist_class_level': 714, 'twisting_char_label': '51.47', 'twisting_conrey_index': 47, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1237875
{'charpoly_factorization': [[[1, 0, 1], 6]], 'hecke_orbit_code': 13511623549387466, 'p': 2}
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id: 1237876
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 3]], 'hecke_orbit_code': 13511623549387466, 'p': 3}
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id: 1237877
{'charpoly_factorization': [[[256, 1280, 3200, 2720, 964, -184, 1480, 732, 181, 0, 8, 4, 1], 1]], 'hecke_orbit_code': 13511623549387466, 'p': 5}
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id: 1237878
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 3]], 'hecke_orbit_code': 13511623549387466, 'p': 7}
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id: 1237879
{'charpoly_factorization': [[[1024, 3072, 4608, 2112, 324, 104, 1032, 188, 21, 20, 32, 8, 1], 1]], 'hecke_orbit_code': 13511623549387466, 'p': 11}
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id: 1237880
{'charpoly_factorization': [[[-2176, -1728, 344, 248, -41, -6, 1], 2]], 'hecke_orbit_code': 13511623549387466, 'p': 13}
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id: 1237881
{'charpoly_factorization': [[[24137569, 17038284, 4677176, 412692, -134385, -65280, -17616, -3840, -465, 84, 56, 12, 1], 1]], 'hecke_orbit_code': 13511623549387466, 'p': 17}
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id: 1237882
{'charpoly_factorization': [[[2680754176, 0, 458266112, 0, 31988240, 0, 1164096, 0, 23224, 0, 240, 0, 1], 1]], 'hecke_orbit_code': 13511623549387466, 'p': 19}
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id: 1237883
{'charpoly_factorization': [[[4734976, -6823936, 4917248, -1515776, 243472, -36672, 42624, -11232, 1480, -16, 32, -8, 1], 1]], 'hecke_orbit_code': 13511623549387466, 'p': 23}
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id: 1237884
{'charpoly_factorization': [[[154157056, -160514048, 83566592, -18129920, 2322496, -673536, 508416, -87200, 7508, -72, 72, -12, 1], 1]], 'hecke_orbit_code': 13511623549387466, 'p': 29}
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id: 1237885
{'charpoly_factorization': [[[65536, -229376, 401408, 205824, 162880, -227072, 120320, -25120, 2516, -8, 72, -12, 1], 1]], 'hecke_orbit_code': 13511623549387466, 'p': 31}
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id: 1237886
{'charpoly_factorization': [[[14776336, 28599360, 27676800, 14741120, 4509336, 566480, 3200, 320, 5529, 80, 0, 0, 1], 1]], 'hecke_orbit_code': 13511623549387466, 'p': 37}
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id: 1237887
{'charpoly_factorization': [[[75759616, -15597568, 1605632, 3418112, 3287104, -14208, 10368, 16512, 8404, 536, 8, -4, 1], 1]], 'hecke_orbit_code': 13511623549387466, 'p': 41}
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id: 1237888
{'charpoly_factorization': [[[6879707136, 0, 1313832960, 0, 94576896, 0, 3223008, 0, 53089, 0, 386, 0, 1], 1]], 'hecke_orbit_code': 13511623549387466, 'p': 43}
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id: 1237889
{'charpoly_factorization': [[[-8704, 2816, 2096, -128, -118, -4, 1], 2]], 'hecke_orbit_code': 13511623549387466, 'p': 47}
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id: 1237890
{'charpoly_factorization': [[[52877922304, 0, 11543424512, 0, 666052112, 0, 14321496, 0, 137601, 0, 606, 0, 1], 1]], 'hecke_orbit_code': 13511623549387466, 'p': 53}
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id: 1237891
{'charpoly_factorization': [[[98024095744, 0, 17045659648, 0, 941486336, 0, 18057728, 0, 156896, 0, 640, 0, 1], 1]], 'hecke_orbit_code': 13511623549387466, 'p': 59}
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id: 1237892
{'charpoly_factorization': [[[115949824, -1426200064, 8771236352, -4021746304, 943050640, -130330560, 11893632, -850368, 80920, -9232, 800, -40, 1], 1]], 'hecke_orbit_code': 13511623549387466, 'p': 61}
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id: 1237893
{'charpoly_factorization': [[[-2944, -8128, -6808, -2104, -191, 6, 1], 2]], 'hecke_orbit_code': 13511623549387466, 'p': 67}
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id: 1237894
{'charpoly_factorization': [[[3421782016, -1845665792, 497764352, -23483136, 10403344, -4556672, 1025024, -79904, 6088, -1312, 288, -24, 1], 1]], 'hecke_orbit_code': 13511623549387466, 'p': 71}
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id: 1237895
{'charpoly_factorization': [[[7974976, 14007040, 12300800, 5542112, 1390036, 151304, 47432, 22452, 6037, 308, 0, 0, 1], 1]], 'hecke_orbit_code': 13511623549387466, 'p': 73}
-
id: 1237896
{'charpoly_factorization': [[[81622204416, -46954708992, 13505789952, 2193235968, 184111360, -10022912, 4768256, 855840, 74753, 792, 32, 8, 1], 1]], 'hecke_orbit_code': 13511623549387466, 'p': 79}
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id: 1237897
{'charpoly_factorization': [[[349630959616, 0, 31236700672, 0, 1096971536, 0, 19029080, 0, 167345, 0, 682, 0, 1], 1]], 'hecke_orbit_code': 13511623549387466, 'p': 83}
-
id: 1237898
{'charpoly_factorization': [[[-2176, 26528, -274, -1620, -9, 22, 1], 2]], 'hecke_orbit_code': 13511623549387466, 'p': 89}
-
id: 1237899
{'charpoly_factorization': [[[792535104, -854019072, 460136448, -68421408, 1019284, 1273464, 989448, -46660, 1061, 2460, 512, 32, 1], 1]], 'hecke_orbit_code': 13511623549387466, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 13, 'hecke_orbit': 4, 'label': '714.2.m.d', 'level': 714, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 37239955
{'hecke_orbit_code': 13511623549387466, 'n': 1, 'trace_an': 12}
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id: 37239956
{'hecke_orbit_code': 13511623549387466, 'n': 2, 'trace_an': 0}
-
id: 37239957
{'hecke_orbit_code': 13511623549387466, 'n': 3, 'trace_an': 0}
-
id: 37239958
{'hecke_orbit_code': 13511623549387466, 'n': 4, 'trace_an': -12}
-
id: 37239959
{'hecke_orbit_code': 13511623549387466, 'n': 5, 'trace_an': -4}
-
id: 37239960
{'hecke_orbit_code': 13511623549387466, 'n': 6, 'trace_an': 0}
-
id: 37239961
{'hecke_orbit_code': 13511623549387466, 'n': 7, 'trace_an': 0}
-
id: 37239962
{'hecke_orbit_code': 13511623549387466, 'n': 8, 'trace_an': 0}
-
id: 37239963
{'hecke_orbit_code': 13511623549387466, 'n': 9, 'trace_an': 0}
-
id: 37239964
{'hecke_orbit_code': 13511623549387466, 'n': 10, 'trace_an': 4}
-
id: 37239965
{'hecke_orbit_code': 13511623549387466, 'n': 11, 'trace_an': -8}
-
id: 37239966
{'hecke_orbit_code': 13511623549387466, 'n': 12, 'trace_an': 0}
-
id: 37239967
{'hecke_orbit_code': 13511623549387466, 'n': 13, 'trace_an': 12}
-
id: 37239968
{'hecke_orbit_code': 13511623549387466, 'n': 14, 'trace_an': 0}
-
id: 37239969
{'hecke_orbit_code': 13511623549387466, 'n': 15, 'trace_an': 0}
-
id: 37239970
{'hecke_orbit_code': 13511623549387466, 'n': 16, 'trace_an': 12}
-
id: 37239971
{'hecke_orbit_code': 13511623549387466, 'n': 17, 'trace_an': -12}
-
id: 37239972
{'hecke_orbit_code': 13511623549387466, 'n': 18, 'trace_an': -12}
-
id: 37239973
{'hecke_orbit_code': 13511623549387466, 'n': 19, 'trace_an': 0}
-
id: 37239974
{'hecke_orbit_code': 13511623549387466, 'n': 20, 'trace_an': 4}
-
id: 37239975
{'hecke_orbit_code': 13511623549387466, 'n': 21, 'trace_an': -12}
-
id: 37239976
{'hecke_orbit_code': 13511623549387466, 'n': 22, 'trace_an': -8}
-
id: 37239977
{'hecke_orbit_code': 13511623549387466, 'n': 23, 'trace_an': 8}
-
id: 37239978
{'hecke_orbit_code': 13511623549387466, 'n': 24, 'trace_an': 0}
-
id: 37239979
{'hecke_orbit_code': 13511623549387466, 'n': 25, 'trace_an': 0}
-
id: 37239980
{'hecke_orbit_code': 13511623549387466, 'n': 26, 'trace_an': 0}
-
id: 37239981
{'hecke_orbit_code': 13511623549387466, 'n': 27, 'trace_an': 0}
-
id: 37239982
{'hecke_orbit_code': 13511623549387466, 'n': 28, 'trace_an': 0}
-
id: 37239983
{'hecke_orbit_code': 13511623549387466, 'n': 29, 'trace_an': 12}
-
id: 37239984
{'hecke_orbit_code': 13511623549387466, 'n': 30, 'trace_an': -4}
-
id: 37239985
{'hecke_orbit_code': 13511623549387466, 'n': 31, 'trace_an': 12}
-
id: 37239986
{'hecke_orbit_code': 13511623549387466, 'n': 32, 'trace_an': 0}
-
id: 37239987
{'hecke_orbit_code': 13511623549387466, 'n': 33, 'trace_an': -4}
-
id: 37239988
{'hecke_orbit_code': 13511623549387466, 'n': 34, 'trace_an': 4}
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id: 37239989
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