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mf_newforms • Show schema
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{'Nk2': 6720, 'analytic_conductor': 13.414867539575104, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 28, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 102, 'char_orbit_label': 'dx', 'char_order': 6, 'char_parity': 1, 'char_values': [1680, 6, [1471, 421, 1121, 337, 241], [3, 6, 6, 6, 1]], 'cm_discs': [], 'conrey_index': 31, 'dim': 12, 'field_disc': 439275992223744, 'field_disc_factorization': [[2, 12], [3, 8], [13, 2], [311, 2]], 'field_poly': [13, -104, 376, -810, 1183, -1270, 1045, -658, 328, -120, 35, -6, 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': [[11, [5184, 36288, 94176, 66528, 1872, -14256, -1008, 3384, 1164, 0, -36, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31532138092299920, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 64, 'hecke_ring_index_factorization': [[2, 6]], 'hecke_ring_index_proved': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 6720, 'analytic_conductor': 13.414867539575104, 'char_conductor': 28, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 102, 'char_orbit_label': 'dx', 'char_order': 6, 'char_parity': 1, 'char_values': [1680, 6, [1471, 421, 1121, 337, 241], [3, 6, 6, 6, 1]], 'conrey_index': 31, 'cusp_dim': 720, 'dim': 64, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [11], 'hecke_orbit_code': 6940700706448, 'hecke_orbit_dims': [4, 4, 4, 4, 12, 12, 12, 12], 'label': '1680.2.dx', 'level': 1680, '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': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 816, 'mf_new_dim': 64, 'num_forms': 8, 'prim_orbit_index': 6, 'relative_dim': 32, 'sturm_bound': 768, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 48, 0, 0, 0, 16, 0, 0, 0, 144, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -48, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -144, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 8, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 112, 0, 0, 0, -48, 0, 0, 0, -64, 0, 0, 0, -24, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 48, 0, 0, 0, -16, 0, 0, 0, 24, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -216, 0, 0, 0, -8, 0, 0, 0, 80, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, -48, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 48, 0, 0, 0, 96, 0, 0, 0, -96, 0, 0, 0, 264, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 144, 0, 0, 0, 8, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -48, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -144, 0, 0, 0, -96, 0, 0, 0, -336, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 48, 0, 0, 0, -96, 0, 0, 0, -288, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -8, 0, 0, 0, -40, 0, 0, 0, -192, 0, 0, 0, -144, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -120, 0, 0, 0, -192, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, 336, 0, 0, 0, 24, 0, 0, 0, -208, 0, 0, 0, 432, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, -48, 0, 0, 0, -112, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, -360, 0, 0, 0, 72, 0, 0, 0, 96, 0, 0, 0, 144, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 72, 0, 0, 0, 112, 0, 0, 0, -80, 0, 0, 0, -144, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, -48, 0, 0, 0, 288, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 424, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 24, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 104, 0, 0, 0, 144, 0, 0, 0, 48, 0, 0, 0, 144, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -72, 0, 0, 0, 224, 0, 0, 0, -312, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -408, 0, 0, 0, -336, 0, 0, 0, 8, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, -96, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, -48, 0, 0, 0, 288, 0, 0, 0, -144, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -56, 0, 0, 0, -16, 0, 0, 0, 504, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 480, 0, 0, 0, 432, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, -8, 0, 0, 0, 336, 0, 0, 0, -16, 0, 0, 0, -72, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46444223
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31532138092299920, 'source_is_minimal': True, 'source_label': '1680.2.dx.h.271.3', 'source_level': 1680, 'target_conrey_index': 271, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31532138092299920, 'target_is_minimal': True, 'target_label': '1680.2.dx.h.271.3', 'target_level': 1680, 'twist_class_label': '1680.2.dx.f.31.1', 'twist_class_level': 1680, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46444224
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31532138092299920, 'source_is_minimal': True, 'source_label': '1680.2.dx.h.271.3', 'source_level': 1680, 'target_conrey_index': 271, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22524938837558928, 'target_is_minimal': True, 'target_label': '1680.2.dx.f.271.1', 'target_level': 1680, 'twist_class_label': '1680.2.dx.f.31.1', 'twist_class_level': 1680, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46444225
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31532138092299920, 'source_is_minimal': True, 'source_label': '1680.2.dx.h.271.3', 'source_level': 1680, 'target_conrey_index': 31, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22524938837558928, 'target_is_minimal': True, 'target_label': '1680.2.dx.f.31.1', 'target_level': 1680, 'twist_class_label': '1680.2.dx.f.31.1', 'twist_class_level': 1680, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46444226
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31532138092299920, 'source_is_minimal': True, 'source_label': '1680.2.dx.h.271.3', 'source_level': 1680, 'target_conrey_index': 31, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31532138092299920, 'target_is_minimal': True, 'target_label': '1680.2.dx.h.31.3', 'target_level': 1680, 'twist_class_label': '1680.2.dx.f.31.1', 'twist_class_level': 1680, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2126850
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 31532138092299920, 'p': 2}
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id: 2126851
{'charpoly_factorization': [[[1, -1, 1], 6]], 'hecke_orbit_code': 31532138092299920, 'p': 3}
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id: 2126852
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 3]], 'hecke_orbit_code': 31532138092299920, 'p': 5}
-
id: 2126853
{'charpoly_factorization': [[[117649, 33614, 2401, -8918, -1862, 1022, 737, 146, -38, -26, 1, 2, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 7}
-
id: 2126854
{'charpoly_factorization': [[[5184, 36288, 94176, 66528, 1872, -14256, -1008, 3384, 1164, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 11}
-
id: 2126855
{'charpoly_factorization': [[[19881, 0, 73122, 0, 64351, 0, 20236, 0, 2103, 0, 82, 0, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 13}
-
id: 2126856
{'charpoly_factorization': [[[576, 2880, 4128, -3360, -7472, 5040, 9616, -7800, 1908, 0, -44, 0, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 17}
-
id: 2126857
{'charpoly_factorization': [[[12439729, 12055286, 12694973, 1530258, 1211002, -33458, 92677, -6578, 3898, -462, 125, -10, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 19}
-
id: 2126858
{'charpoly_factorization': [[[97344, 486720, 772512, -193440, -134384, 30480, 17296, -3960, -828, 240, 28, -12, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 23}
-
id: 2126859
{'charpoly_factorization': [[[-34632, 1560, 6028, 260, -144, -4, 1], 2]], 'hecke_orbit_code': 31532138092299920, 'p': 29}
-
id: 2126860
{'charpoly_factorization': [[[9345249, 22212162, 45558837, 18592614, 7604778, 1108554, 311037, 23562, 10858, 230, 117, 2, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 31}
-
id: 2126861
{'charpoly_factorization': [[[75498721, 83814094, 91802789, 15698850, 8603050, 1377374, 610333, 66938, 13426, 918, 173, 10, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 37}
-
id: 2126862
{'charpoly_factorization': [[[33454656, 0, 44082816, 0, 14977552, 0, 1048384, 0, 26712, 0, 280, 0, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 41}
-
id: 2126863
{'charpoly_factorization': [[[9, 0, 978, 0, 26911, 0, 32044, 0, 4503, 0, 130, 0, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 43}
-
id: 2126864
{'charpoly_factorization': [[[504631296, -439934976, 557134848, 138405888, 61318656, 4824576, 1429056, 71424, 24672, 576, 180, 0, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 47}
-
id: 2126865
{'charpoly_factorization': [[[1358954496, -905969664, 622854144, -81788928, 33488896, -3604480, 1294336, -102400, 23296, -1792, 304, -16, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 53}
-
id: 2126866
{'charpoly_factorization': [[[50808384, -47729088, 36197280, -12734496, 4322736, -892944, 235584, -37800, 8004, -648, 96, 0, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 59}
-
id: 2126867
{'charpoly_factorization': [[[34044678144, -15375015936, 1077550080, 558630912, -58097408, -26141952, 6753664, -500352, -13392, 3072, 64, -24, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 61}
-
id: 2126868
{'charpoly_factorization': [[[1837579689, 2445219414, 1292030001, 276026238, 6444234, -6180138, -411759, 122886, 14322, -882, -135, 6, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 67}
-
id: 2126869
{'charpoly_factorization': [[[5184, 0, 42624, 0, 92176, 0, 48640, 0, 8184, 0, 280, 0, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 71}
-
id: 2126870
{'charpoly_factorization': [[[9801, 112266, 517257, 1014930, 1037986, 561450, 131089, -7998, -7014, 330, 289, -30, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 73}
-
id: 2126871
{'charpoly_factorization': [[[302655609, -757500174, 813332313, -453925350, 141126282, -22873374, 1178649, 153990, -10662, -3906, 681, -42, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 79}
-
id: 2126872
{'charpoly_factorization': [[[216, 2232, 4660, 2084, 384, 32, 1], 2]], 'hecke_orbit_code': 31532138092299920, 'p': 83}
-
id: 2126873
{'charpoly_factorization': [[[6891656256, -12809036736, 9219843360, -2386650528, 181558512, 23944464, -3450816, -254376, 54228, 0, -264, 0, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 89}
-
id: 2126874
{'charpoly_factorization': [[[134624415744, 0, 22273026048, 0, 887218432, 0, 15538816, 0, 136800, 0, 592, 0, 1], 1]], 'hecke_orbit_code': 31532138092299920, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 102, 'hecke_orbit': 8, 'label': '1680.2.dx.h', 'level': 1680, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 50285467
{'hecke_orbit_code': 31532138092299920, 'n': 1, 'trace_an': 12}
-
id: 50285468
{'hecke_orbit_code': 31532138092299920, 'n': 2, 'trace_an': 0}
-
id: 50285469
{'hecke_orbit_code': 31532138092299920, 'n': 3, 'trace_an': 6}
-
id: 50285470
{'hecke_orbit_code': 31532138092299920, 'n': 4, 'trace_an': 0}
-
id: 50285471
{'hecke_orbit_code': 31532138092299920, 'n': 5, 'trace_an': 0}
-
id: 50285472
{'hecke_orbit_code': 31532138092299920, 'n': 6, 'trace_an': 0}
-
id: 50285473
{'hecke_orbit_code': 31532138092299920, 'n': 7, 'trace_an': -2}
-
id: 50285474
{'hecke_orbit_code': 31532138092299920, 'n': 8, 'trace_an': 0}
-
id: 50285475
{'hecke_orbit_code': 31532138092299920, 'n': 9, 'trace_an': -6}
-
id: 50285476
{'hecke_orbit_code': 31532138092299920, 'n': 10, 'trace_an': 0}
-
id: 50285477
{'hecke_orbit_code': 31532138092299920, 'n': 11, 'trace_an': 0}
-
id: 50285478
{'hecke_orbit_code': 31532138092299920, 'n': 12, 'trace_an': 0}
-
id: 50285479
{'hecke_orbit_code': 31532138092299920, 'n': 13, 'trace_an': 0}
-
id: 50285480
{'hecke_orbit_code': 31532138092299920, 'n': 14, 'trace_an': 0}
-
id: 50285481
{'hecke_orbit_code': 31532138092299920, 'n': 15, 'trace_an': 0}
-
id: 50285482
{'hecke_orbit_code': 31532138092299920, 'n': 16, 'trace_an': 0}
-
id: 50285483
{'hecke_orbit_code': 31532138092299920, 'n': 17, 'trace_an': 0}
-
id: 50285484
{'hecke_orbit_code': 31532138092299920, 'n': 18, 'trace_an': 0}
-
id: 50285485
{'hecke_orbit_code': 31532138092299920, 'n': 19, 'trace_an': 10}
-
id: 50285486
{'hecke_orbit_code': 31532138092299920, 'n': 20, 'trace_an': 0}
-
id: 50285487
{'hecke_orbit_code': 31532138092299920, 'n': 21, 'trace_an': -4}
-
id: 50285488
{'hecke_orbit_code': 31532138092299920, 'n': 22, 'trace_an': 0}
-
id: 50285489
{'hecke_orbit_code': 31532138092299920, 'n': 23, 'trace_an': 12}
-
id: 50285490
{'hecke_orbit_code': 31532138092299920, 'n': 24, 'trace_an': 0}
-
id: 50285491
{'hecke_orbit_code': 31532138092299920, 'n': 25, 'trace_an': 6}
-
id: 50285492
{'hecke_orbit_code': 31532138092299920, 'n': 26, 'trace_an': 0}
-
id: 50285493
{'hecke_orbit_code': 31532138092299920, 'n': 27, 'trace_an': -12}
-
id: 50285494
{'hecke_orbit_code': 31532138092299920, 'n': 28, 'trace_an': 0}
-
id: 50285495
{'hecke_orbit_code': 31532138092299920, 'n': 29, 'trace_an': 8}
-
id: 50285496
{'hecke_orbit_code': 31532138092299920, 'n': 30, 'trace_an': 0}
-
id: 50285497
{'hecke_orbit_code': 31532138092299920, 'n': 31, 'trace_an': -2}
-
id: 50285498
{'hecke_orbit_code': 31532138092299920, 'n': 32, 'trace_an': 0}
-
id: 50285499
{'hecke_orbit_code': 31532138092299920, 'n': 33, 'trace_an': 0}
-
id: 50285500
{'hecke_orbit_code': 31532138092299920, 'n': 34, 'trace_an': 0}
-
id: 50285501
{'hecke_orbit_code': 31532138092299920, 'n': 35, 'trace_an': -4}
-
id: 50285502
{'hecke_orbit_code': 31532138092299920, 'n': 36, 'trace_an': 0}
-
id: 50285503
{'hecke_orbit_code': 31532138092299920, 'n': 37, 'trace_an': -10}
-
id: 50285504
{'hecke_orbit_code': 31532138092299920, 'n': 38, 'trace_an': 0}
-
id: 50285505
{'hecke_orbit_code': 31532138092299920, 'n': 39, 'trace_an': 6}
-
id: 50285506
{'hecke_orbit_code': 31532138092299920, 'n': 40, 'trace_an': 0}
-
id: 50285507
{'hecke_orbit_code': 31532138092299920, 'n': 41, 'trace_an': 0}
-
id: 50285508
{'hecke_orbit_code': 31532138092299920, 'n': 42, 'trace_an': 0}
-
id: 50285509
{'hecke_orbit_code': 31532138092299920, 'n': 43, 'trace_an': 0}
-
id: 50285510
{'hecke_orbit_code': 31532138092299920, 'n': 44, 'trace_an': 0}
-
id: 50285511
{'hecke_orbit_code': 31532138092299920, 'n': 45, 'trace_an': 0}
-
id: 50285512
{'hecke_orbit_code': 31532138092299920, 'n': 46, 'trace_an': 0}
-
id: 50285513
{'hecke_orbit_code': 31532138092299920, 'n': 47, 'trace_an': 0}
-
id: 50285514
{'hecke_orbit_code': 31532138092299920, 'n': 48, 'trace_an': 0}
-
id: 50285515
{'hecke_orbit_code': 31532138092299920, 'n': 49, 'trace_an': 2}
-
id: 50285516
{'hecke_orbit_code': 31532138092299920, 'n': 50, 'trace_an': 0}
-
id: 50285517
{'hecke_orbit_code': 31532138092299920, 'n': 51, 'trace_an': 0}
-
id: 50285518
{'hecke_orbit_code': 31532138092299920, 'n': 52, 'trace_an': 0}
-
id: 50285519
{'hecke_orbit_code': 31532138092299920, 'n': 53, 'trace_an': 16}
-
id: 50285520
{'hecke_orbit_code': 31532138092299920, 'n': 54, 'trace_an': 0}
-
id: 50285521
{'hecke_orbit_code': 31532138092299920, 'n': 55, 'trace_an': 0}
-
id: 50285522
{'hecke_orbit_code': 31532138092299920, 'n': 56, 'trace_an': 0}
-
id: 50285523
{'hecke_orbit_code': 31532138092299920, 'n': 57, 'trace_an': 20}
-
id: 50285524
{'hecke_orbit_code': 31532138092299920, 'n': 58, 'trace_an': 0}
-
id: 50285525
{'hecke_orbit_code': 31532138092299920, 'n': 59, 'trace_an': 0}
-
id: 50285526
{'hecke_orbit_code': 31532138092299920, 'n': 60, 'trace_an': 0}
-
id: 50285527
{'hecke_orbit_code': 31532138092299920, 'n': 61, 'trace_an': 24}
-
id: 50285528
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