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mf_newforms • Show schema
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{'Nk2': 1900, 'analytic_conductor': 3.7928940960108184, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [475, 3, [77, 401], [3, 1]], 'cm_discs': [], 'conrey_index': 26, 'conrey_indexes': [26, 201], 'dim': 12, 'field_disc': 1242788136784646400, 'field_disc_factorization': [[2, 8], [3, 6], [5, 2], [13, 2], [29, 2], [37, 4]], 'field_poly': [1, 33, 1107, -552, 1009, -147, 484, -93, 109, -18, 17, -3, 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, 3, 10, -1, 4, 1, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518273048314331, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 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{'__RealLiteral__': 0, 'data': '1353.812', 'prec': 27}, {'__RealLiteral__': 0, 'data': '42764.821', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [12, -2, -3, -2, 0, 1, 4, 12, -7, 0, -2, 14, -5, 6, 0, 6, 3, 14, -6, 0, -3, -9, 6, -11, 0, 38, 36, 4, -3, 0, -6, 6, 18, 1, 0, -13, -12, -18, 16, 0, -11, 11, -13, -21, 0, -24, 6, 19, 8, 0, 17, 1, -18, -18, 0, 8, -20, 10, -4, 0, -25, 21, -43, -44, 0, -34, -6, -2, 26, 0, -18, -13, -1, 6, 0, 24, -22, -72, -3, 0, -2, -31, -46, 74, 0, -9, 22, 22, -12, 0, 11, -28, 13, 16, 0, -26, -3, 22, 20, 0, 30, -110, 96, 15, 0, -32, 18, -44, 50, 0, 34, 6, 62, 23, 0, 11, -16, 46, -3, 0, 54, 10, 6, 15, 0, -38, -25, 66, -28, 0, -13, 44, -44, 52, 0, 3, -8, -31, -23, 0, -50, 6, -21, -38, 0, 41, 8, -10, -20, 0, -64, -12, -30, -43, 0, -66, -61, -75, -114, 0, 2, 16, 4, 90, 0, -7, -43, -51, -19, 0, 107, 30, -46, -51, 0, 23, -31, -140, 92, 0, -15, 90, 116, -34, 0, 79, 24, 32, 84, 0, -6, -7, 0, -7, 0, 52, -50, 192, -36, 0, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1900, 'analytic_conductor': 3.7928940960108184, 'char_conductor': 19, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [475, 3, [77, 401], [3, 1]], 'conrey_index': 26, 'cusp_dim': 88, 'dim': 56, 'eis_dim': 24, 'eis_new_dim': 12, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461851, 'hecke_orbit_dims': [2, 2, 2, 6, 8, 12, 12, 12], 'label': '475.2.e', 'level': 475, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 19], 'level_radical': 95, 'mf_dim': 112, 'mf_new_dim': 68, 'num_forms': 8, 'prim_orbit_index': 3, 'relative_dim': 28, 'sturm_bound': 100, 'trace_bound': 2, 'trace_display': [2, 2, 0, 12], 'traces': [56, 2, 2, -20, 0, -6, 12, -12, -22, 0, -12, -12, -6, 0, 0, -8, 6, -8, -16, 0, -18, -6, 6, -26, 0, 12, -16, 0, -6, 0, 4, 24, 24, 10, 0, 6, -8, 6, 40, 0, -22, -38, -4, -22, 0, -16, 0, 16, 40, 0, -10, 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-48, 280, 128, 0, -260, -104, 64, -250, 0, -42, -102, -248, -362, 0, -312, 158, 82, -56, 0, -52, 32, 138, -62, 0, -500, 40, -6, 212, 0, 570, -132, 232, 268, 0, -2, 150, 208, 76, 0, -1064, -10, 30, -184, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45180873
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518273048314331, 'source_is_minimal': True, 'source_label': '475.2.e.f.201.5', 'source_level': 475, 'target_conrey_index': 201, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518273048314331, 'target_is_minimal': True, 'target_label': '475.2.e.f.201.5', 'target_level': 475, 'twist_class_label': '475.2.e.f.26.5', 'twist_class_level': 475, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45180874
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518273048314331, 'source_is_minimal': True, 'source_label': '475.2.e.f.201.5', 'source_level': 475, 'target_conrey_index': 49, 'target_dim': 24, 'target_embedding_index': 10, 'target_hecke_orbit_code': 13511417390957019, 'target_is_minimal': False, 'target_label': '475.2.j.d.49.10', 'target_level': 475, 'twist_class_label': '475.2.e.f.26.5', 'twist_class_level': 475, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45180875
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518273048314331, 'source_is_minimal': True, 'source_label': '475.2.e.f.201.5', 'source_level': 475, 'target_conrey_index': 49, 'target_dim': 24, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511417390957019, 'target_is_minimal': False, 'target_label': '475.2.j.d.49.3', 'target_level': 475, 'twist_class_label': '475.2.e.f.26.5', 'twist_class_level': 475, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45180876
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518273048314331, 'source_is_minimal': True, 'source_label': '475.2.e.f.201.5', 'source_level': 475, 'target_conrey_index': 201, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525472303055323, 'target_is_minimal': True, 'target_label': '475.2.e.h.201.2', 'target_level': 475, 'twist_class_label': '475.2.e.f.26.5', 'twist_class_level': 475, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45180877
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518273048314331, 'source_is_minimal': True, 'source_label': '475.2.e.f.201.5', 'source_level': 475, 'target_conrey_index': 26, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518273048314331, 'target_is_minimal': True, 'target_label': '475.2.e.f.26.5', 'target_level': 475, 'twist_class_label': '475.2.e.f.26.5', 'twist_class_level': 475, 'twisting_char_label': '19.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45180878
{'conductor': 19, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518273048314331, 'source_is_minimal': True, 'source_label': '475.2.e.f.201.5', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 198158383637865281, 'target_is_minimal': False, 'target_label': '9025.2.a.bs.1.5', 'target_level': 9025, 'twist_class_label': '475.2.e.f.26.5', 'twist_class_level': 475, 'twisting_char_label': '19.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 45180879
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518273048314331, 'source_is_minimal': True, 'source_label': '475.2.e.f.201.5', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 229683581029458753, 'target_is_minimal': False, 'target_label': '9025.2.a.bz.1.2', 'target_level': 9025, 'twist_class_label': '475.2.e.f.26.5', 'twist_class_level': 475, 'twisting_char_label': '19.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45180880
{'conductor': 95, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518273048314331, 'source_is_minimal': True, 'source_label': '475.2.e.f.201.5', 'source_level': 475, 'target_conrey_index': 349, 'target_dim': 24, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511417390957019, 'target_is_minimal': False, 'target_label': '475.2.j.d.349.3', 'target_level': 475, 'twist_class_label': '475.2.e.f.26.5', 'twist_class_level': 475, 'twisting_char_label': '95.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45180881
{'conductor': 95, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518273048314331, 'source_is_minimal': True, 'source_label': '475.2.e.f.201.5', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 193654784010494785, 'target_is_minimal': False, 'target_label': '9025.2.a.br.1.5', 'target_level': 9025, 'twist_class_label': '475.2.e.f.26.5', 'twist_class_level': 475, 'twisting_char_label': '95.49', 'twisting_conrey_index': 49, 'weight': 2}
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id: 45180882
{'conductor': 95, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518273048314331, 'source_is_minimal': True, 'source_label': '475.2.e.f.201.5', 'source_level': 475, 'target_conrey_index': 26, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525472303055323, 'target_is_minimal': True, 'target_label': '475.2.e.h.26.2', 'target_level': 475, 'twist_class_label': '475.2.e.f.26.5', 'twist_class_level': 475, 'twisting_char_label': '95.64', 'twisting_conrey_index': 64, 'weight': 2}
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id: 45180883
{'conductor': 95, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518273048314331, 'source_is_minimal': True, 'source_label': '475.2.e.f.201.5', 'source_level': 475, 'target_conrey_index': 349, 'target_dim': 24, 'target_embedding_index': 10, 'target_hecke_orbit_code': 13511417390957019, 'target_is_minimal': False, 'target_label': '475.2.j.d.349.10', 'target_level': 475, 'twist_class_label': '475.2.e.f.26.5', 'twist_class_level': 475, 'twisting_char_label': '95.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 45180884
{'conductor': 95, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518273048314331, 'source_is_minimal': True, 'source_label': '475.2.e.f.201.5', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 225179981402088257, 'target_is_minimal': False, 'target_label': '9025.2.a.by.1.2', 'target_level': 9025, 'twist_class_label': '475.2.e.f.26.5', 'twist_class_level': 475, 'twisting_char_label': '95.84', 'twisting_conrey_index': 84, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 941150
{'charpoly_factorization': [[[1, 3, 10, -1, 4, 1, 1], 2]], 'hecke_orbit_code': 22518273048314331, 'p': 2}
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id: 941151
{'charpoly_factorization': [[[25, -125, 715, 240, 809, 7, 500, 85, 109, 18, 17, 3, 1], 1]], 'hecke_orbit_code': 22518273048314331, 'p': 3}
-
id: 941152
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 22518273048314331, 'p': 5}
-
id: 941153
{'charpoly_factorization': [[[-67, 38, 123, 20, -21, -2, 1], 2]], 'hecke_orbit_code': 22518273048314331, 'p': 7}
-
id: 941154
{'charpoly_factorization': [[[247, -871, 522, 9, -46, 1, 1], 2]], 'hecke_orbit_code': 22518273048314331, 'p': 11}
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id: 941155
{'charpoly_factorization': [[[100489, -223485, 575641, 86714, 148087, 14703, 24090, 3229, 1743, 98, 61, 5, 1], 1]], 'hecke_orbit_code': 22518273048314331, 'p': 13}
-
id: 941156
{'charpoly_factorization': [[[1, 107, 11529, -8454, 12047, -893, 4406, -899, 655, -34, 33, -3, 1], 1]], 'hecke_orbit_code': 22518273048314331, 'p': 17}
-
id: 941157
{'charpoly_factorization': [[[47045881, 14856594, 1954815, 370386, 101802, 16302, 79, 858, 282, 54, 15, 6, 1], 1]], 'hecke_orbit_code': 22518273048314331, 'p': 19}
-
id: 941158
{'charpoly_factorization': [[[1151329, -2302658, 4232985, -1448550, 885458, -137266, 116633, -16678, 4870, -314, 93, -6, 1], 1]], 'hecke_orbit_code': 22518273048314331, 'p': 23}
-
id: 941159
{'charpoly_factorization': [[[163353961, 34419233, 47384589, -10935534, 8218031, -924611, 331046, -11057, 8815, -130, 117, 3, 1], 1]], 'hecke_orbit_code': 22518273048314331, 'p': 29}
-
id: 941160
{'charpoly_factorization': [[[-631, 1863, 764, -189, -64, 3, 1], 2]], 'hecke_orbit_code': 22518273048314331, 'p': 31}
-
id: 941161
{'charpoly_factorization': [[[-64, 1056, 288, -168, -32, 6, 1], 2]], 'hecke_orbit_code': 22518273048314331, 'p': 37}
-
id: 941162
{'charpoly_factorization': [[[1739761, 1354613, 2479249, 286342, 1741339, 635125, 245262, 37483, 7475, 794, 145, 11, 1], 1]], 'hecke_orbit_code': 22518273048314331, 'p': 41}
-
id: 941163
{'charpoly_factorization': [[[829921, 1518637, 1924371, 1314032, 686083, 243355, 74262, 17515, 4163, 768, 131, 13, 1], 1]], 'hecke_orbit_code': 22518273048314331, 'p': 43}
-
id: 941164
{'charpoly_factorization': [[[537266041, -183809470, 121690023, -41259582, 19972138, -5575722, 1419407, -211818, 27642, -1862, 167, -6, 1], 1]], 'hecke_orbit_code': 22518273048314331, 'p': 47}
-
id: 941165
{'charpoly_factorization': [[[116868943321, 28736151938, 9051617913, 1270240062, 273530066, 32694250, 5385041, 470650, 56866, 3902, 393, 18, 1], 1]], 'hecke_orbit_code': 22518273048314331, 'p': 53}
-
id: 941166
{'charpoly_factorization': [[[134397649, -389385684, 978244661, -426814164, 159075790, -20063984, 3327161, -60248, 44534, -300, 253, 4, 1], 1]], 'hecke_orbit_code': 22518273048314331, 'p': 59}
-
id: 941167
{'charpoly_factorization': [[[305935081, 525132293, 662278559, 353918480, 140095873, 27524283, 4663478, 495207, 63649, 5680, 527, 25, 1], 1]], 'hecke_orbit_code': 22518273048314331, 'p': 61}
-
id: 941168
{'charpoly_factorization': [[[145926400, -158489600, 216492160, 30201600, 21263744, 1498912, 1052864, 91072, 27688, 504, 200, 6, 1], 1]], 'hecke_orbit_code': 22518273048314331, 'p': 67}
-
id: 941169
{'charpoly_factorization': [[[135885649, -349919826, 806367199, -323536874, 166936790, 35890178, 9976043, 797342, 88934, 4330, 463, 18, 1], 1]], 'hecke_orbit_code': 22518273048314331, 'p': 71}
-
id: 941170
{'charpoly_factorization': [[[4699788025, -462403475, 567747015, 30131360, 47699269, 989995, 1144758, 17239, 20093, 144, 167, 1, 1], 1]], 'hecke_orbit_code': 22518273048314331, 'p': 73}
-
id: 941171
{'charpoly_factorization': [[[106504975201, 60624593515, 26926848793, 5367195402, 944078261, 83184961, 10171432, 565115, 85285, 2256, 331, 3, 1], 1]], 'hecke_orbit_code': 22518273048314331, 'p': 79}
-
id: 941172
{'charpoly_factorization': [[[378053, 120965, -5864, -3729, -74, 23, 1], 2]], 'hecke_orbit_code': 22518273048314331, 'p': 83}
-
id: 941173
{'charpoly_factorization': [[[122226452881, -7908155580, 10282187123, -894930972, 723106926, -51342876, 12378927, 22380, 92510, 684, 451, 12, 1], 1]], 'hecke_orbit_code': 22518273048314331, 'p': 89}
-
id: 941174
{'charpoly_factorization': [[[25482056161, 3286642659, 3583004411, -299226492, 347222589, -7029399, 6229806, -248487, 82877, -1644, 331, 3, 1], 1]], 'hecke_orbit_code': 22518273048314331, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 6, 'label': '475.2.e.f', 'level': 475, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 171790000
{'hecke_orbit_code': 22518273048314331, 'n': 1, 'trace_an': 12}
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id: 171790001
{'hecke_orbit_code': 22518273048314331, 'n': 2, 'trace_an': -2}
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id: 171790002
{'hecke_orbit_code': 22518273048314331, 'n': 3, 'trace_an': -3}
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id: 171790003
{'hecke_orbit_code': 22518273048314331, 'n': 4, 'trace_an': -2}
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id: 171790004
{'hecke_orbit_code': 22518273048314331, 'n': 5, 'trace_an': 0}
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id: 171790005
{'hecke_orbit_code': 22518273048314331, 'n': 6, 'trace_an': 1}
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id: 171790006
{'hecke_orbit_code': 22518273048314331, 'n': 7, 'trace_an': 4}
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id: 171790007
{'hecke_orbit_code': 22518273048314331, 'n': 8, 'trace_an': 12}
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id: 171790008
{'hecke_orbit_code': 22518273048314331, 'n': 9, 'trace_an': -7}
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id: 171790009
{'hecke_orbit_code': 22518273048314331, 'n': 10, 'trace_an': 0}
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id: 171790010
{'hecke_orbit_code': 22518273048314331, 'n': 11, 'trace_an': -2}
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id: 171790011
{'hecke_orbit_code': 22518273048314331, 'n': 12, 'trace_an': 14}
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id: 171790012
{'hecke_orbit_code': 22518273048314331, 'n': 13, 'trace_an': -5}
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id: 171790013
{'hecke_orbit_code': 22518273048314331, 'n': 14, 'trace_an': 6}
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id: 171790014
{'hecke_orbit_code': 22518273048314331, 'n': 15, 'trace_an': 0}
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id: 171790015
{'hecke_orbit_code': 22518273048314331, 'n': 16, 'trace_an': 6}
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id: 171790016
{'hecke_orbit_code': 22518273048314331, 'n': 17, 'trace_an': 3}
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id: 171790017
{'hecke_orbit_code': 22518273048314331, 'n': 18, 'trace_an': 14}
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id: 171790018
{'hecke_orbit_code': 22518273048314331, 'n': 19, 'trace_an': -6}
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id: 171790019
{'hecke_orbit_code': 22518273048314331, 'n': 20, 'trace_an': 0}
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id: 171790020
{'hecke_orbit_code': 22518273048314331, 'n': 21, 'trace_an': -3}
-
id: 171790021
{'hecke_orbit_code': 22518273048314331, 'n': 22, 'trace_an': -9}
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id: 171790022
{'hecke_orbit_code': 22518273048314331, 'n': 23, 'trace_an': 6}
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id: 171790023
{'hecke_orbit_code': 22518273048314331, 'n': 24, 'trace_an': -11}
-
id: 171790024
{'hecke_orbit_code': 22518273048314331, 'n': 25, 'trace_an': 0}
-
id: 171790025
{'hecke_orbit_code': 22518273048314331, 'n': 26, 'trace_an': 38}
-
id: 171790026
{'hecke_orbit_code': 22518273048314331, 'n': 27, 'trace_an': 36}
-
id: 171790027
{'hecke_orbit_code': 22518273048314331, 'n': 28, 'trace_an': 4}
-
id: 171790028
{'hecke_orbit_code': 22518273048314331, 'n': 29, 'trace_an': -3}
-
id: 171790029
{'hecke_orbit_code': 22518273048314331, 'n': 30, 'trace_an': 0}
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id: 171790030
{'hecke_orbit_code': 22518273048314331, 'n': 31, 'trace_an': -6}
-
id: 171790031
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