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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': 6, 'hecke_orbit_code': 22524938837558928, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 64, 'hecke_ring_index_factorization': [[2, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 28, 6, 1, 6, 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': '1680.2.dx.f', '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, 'minimal_twist': '1680.2.dx.f', 'prim_orbit_index': 6, 'qexp_display': 'q+\\beta _{7}q^{3}-\\beta _{1}q^{5}+(-\\beta _{4}-\\beta _{8}-\\beta _{11})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1680.2.dx', 'trace_display': [0, -6, 0, 2], 'trace_hash': 259054706893574305, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 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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: 45511673
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 22524938837558928, 'source_is_minimal': True, 'source_label': '1680.2.dx.f.31.6', 'source_level': 1680, 'target_conrey_index': 31, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 22524938837558928, 'target_is_minimal': True, 'target_label': '1680.2.dx.f.31.6', 'target_level': 1680, 'twist_class_label': '1680.2.dx.f.31.6', 'twist_class_level': 1680, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45511674
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 22524938837558928, 'source_is_minimal': True, 'source_label': '1680.2.dx.f.31.6', 'source_level': 1680, 'target_conrey_index': 31, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31532138092299920, 'target_is_minimal': True, 'target_label': '1680.2.dx.h.31.4', 'target_level': 1680, 'twist_class_label': '1680.2.dx.f.31.6', 'twist_class_level': 1680, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45511675
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 22524938837558928, 'source_is_minimal': True, 'source_label': '1680.2.dx.f.31.6', 'source_level': 1680, 'target_conrey_index': 271, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31532138092299920, 'target_is_minimal': True, 'target_label': '1680.2.dx.h.271.4', 'target_level': 1680, 'twist_class_label': '1680.2.dx.f.31.6', 'twist_class_level': 1680, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45511676
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 22524938837558928, 'source_is_minimal': True, 'source_label': '1680.2.dx.f.31.6', 'source_level': 1680, 'target_conrey_index': 271, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 22524938837558928, 'target_is_minimal': True, 'target_label': '1680.2.dx.f.271.6', 'target_level': 1680, 'twist_class_label': '1680.2.dx.f.31.6', 'twist_class_level': 1680, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2126800
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 22524938837558928, 'p': 2}
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id: 2126801
{'charpoly_factorization': [[[1, 1, 1], 6]], 'hecke_orbit_code': 22524938837558928, 'p': 3}
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id: 2126802
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 3]], 'hecke_orbit_code': 22524938837558928, 'p': 5}
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id: 2126803
{'charpoly_factorization': [[[117649, -33614, 2401, 8918, -1862, -1022, 737, -146, -38, 26, 1, -2, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 7}
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id: 2126804
{'charpoly_factorization': [[[5184, -36288, 94176, -66528, 1872, 14256, -1008, -3384, 1164, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 11}
-
id: 2126805
{'charpoly_factorization': [[[19881, 0, 73122, 0, 64351, 0, 20236, 0, 2103, 0, 82, 0, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 13}
-
id: 2126806
{'charpoly_factorization': [[[576, 2880, 4128, -3360, -7472, 5040, 9616, -7800, 1908, 0, -44, 0, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 17}
-
id: 2126807
{'charpoly_factorization': [[[12439729, -12055286, 12694973, -1530258, 1211002, 33458, 92677, 6578, 3898, 462, 125, 10, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 19}
-
id: 2126808
{'charpoly_factorization': [[[97344, -486720, 772512, 193440, -134384, -30480, 17296, 3960, -828, -240, 28, 12, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 23}
-
id: 2126809
{'charpoly_factorization': [[[-34632, 1560, 6028, 260, -144, -4, 1], 2]], 'hecke_orbit_code': 22524938837558928, 'p': 29}
-
id: 2126810
{'charpoly_factorization': [[[9345249, -22212162, 45558837, -18592614, 7604778, -1108554, 311037, -23562, 10858, -230, 117, -2, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 31}
-
id: 2126811
{'charpoly_factorization': [[[75498721, 83814094, 91802789, 15698850, 8603050, 1377374, 610333, 66938, 13426, 918, 173, 10, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 37}
-
id: 2126812
{'charpoly_factorization': [[[33454656, 0, 44082816, 0, 14977552, 0, 1048384, 0, 26712, 0, 280, 0, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 41}
-
id: 2126813
{'charpoly_factorization': [[[9, 0, 978, 0, 26911, 0, 32044, 0, 4503, 0, 130, 0, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 43}
-
id: 2126814
{'charpoly_factorization': [[[504631296, 439934976, 557134848, -138405888, 61318656, -4824576, 1429056, -71424, 24672, -576, 180, 0, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 47}
-
id: 2126815
{'charpoly_factorization': [[[1358954496, -905969664, 622854144, -81788928, 33488896, -3604480, 1294336, -102400, 23296, -1792, 304, -16, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 53}
-
id: 2126816
{'charpoly_factorization': [[[50808384, 47729088, 36197280, 12734496, 4322736, 892944, 235584, 37800, 8004, 648, 96, 0, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 59}
-
id: 2126817
{'charpoly_factorization': [[[34044678144, -15375015936, 1077550080, 558630912, -58097408, -26141952, 6753664, -500352, -13392, 3072, 64, -24, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 61}
-
id: 2126818
{'charpoly_factorization': [[[1837579689, -2445219414, 1292030001, -276026238, 6444234, 6180138, -411759, -122886, 14322, 882, -135, -6, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 67}
-
id: 2126819
{'charpoly_factorization': [[[5184, 0, 42624, 0, 92176, 0, 48640, 0, 8184, 0, 280, 0, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 71}
-
id: 2126820
{'charpoly_factorization': [[[9801, 112266, 517257, 1014930, 1037986, 561450, 131089, -7998, -7014, 330, 289, -30, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 73}
-
id: 2126821
{'charpoly_factorization': [[[302655609, 757500174, 813332313, 453925350, 141126282, 22873374, 1178649, -153990, -10662, 3906, 681, 42, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 79}
-
id: 2126822
{'charpoly_factorization': [[[216, -2232, 4660, -2084, 384, -32, 1], 2]], 'hecke_orbit_code': 22524938837558928, 'p': 83}
-
id: 2126823
{'charpoly_factorization': [[[6891656256, -12809036736, 9219843360, -2386650528, 181558512, 23944464, -3450816, -254376, 54228, 0, -264, 0, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 89}
-
id: 2126824
{'charpoly_factorization': [[[134624415744, 0, 22273026048, 0, 887218432, 0, 15538816, 0, 136800, 0, 592, 0, 1], 1]], 'hecke_orbit_code': 22524938837558928, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 102, 'hecke_orbit': 6, 'label': '1680.2.dx.f', 'level': 1680, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 45015559
{'hecke_orbit_code': 22524938837558928, 'n': 1, 'trace_an': 12}
-
id: 45015560
{'hecke_orbit_code': 22524938837558928, 'n': 2, 'trace_an': 0}
-
id: 45015561
{'hecke_orbit_code': 22524938837558928, 'n': 3, 'trace_an': -6}
-
id: 45015562
{'hecke_orbit_code': 22524938837558928, 'n': 4, 'trace_an': 0}
-
id: 45015563
{'hecke_orbit_code': 22524938837558928, 'n': 5, 'trace_an': 0}
-
id: 45015564
{'hecke_orbit_code': 22524938837558928, 'n': 6, 'trace_an': 0}
-
id: 45015565
{'hecke_orbit_code': 22524938837558928, 'n': 7, 'trace_an': 2}
-
id: 45015566
{'hecke_orbit_code': 22524938837558928, 'n': 8, 'trace_an': 0}
-
id: 45015567
{'hecke_orbit_code': 22524938837558928, 'n': 9, 'trace_an': -6}
-
id: 45015568
{'hecke_orbit_code': 22524938837558928, 'n': 10, 'trace_an': 0}
-
id: 45015569
{'hecke_orbit_code': 22524938837558928, 'n': 11, 'trace_an': 0}
-
id: 45015570
{'hecke_orbit_code': 22524938837558928, 'n': 12, 'trace_an': 0}
-
id: 45015571
{'hecke_orbit_code': 22524938837558928, 'n': 13, 'trace_an': 0}
-
id: 45015572
{'hecke_orbit_code': 22524938837558928, 'n': 14, 'trace_an': 0}
-
id: 45015573
{'hecke_orbit_code': 22524938837558928, 'n': 15, 'trace_an': 0}
-
id: 45015574
{'hecke_orbit_code': 22524938837558928, 'n': 16, 'trace_an': 0}
-
id: 45015575
{'hecke_orbit_code': 22524938837558928, 'n': 17, 'trace_an': 0}
-
id: 45015576
{'hecke_orbit_code': 22524938837558928, 'n': 18, 'trace_an': 0}
-
id: 45015577
{'hecke_orbit_code': 22524938837558928, 'n': 19, 'trace_an': -10}
-
id: 45015578
{'hecke_orbit_code': 22524938837558928, 'n': 20, 'trace_an': 0}
-
id: 45015579
{'hecke_orbit_code': 22524938837558928, 'n': 21, 'trace_an': -4}
-
id: 45015580
{'hecke_orbit_code': 22524938837558928, 'n': 22, 'trace_an': 0}
-
id: 45015581
{'hecke_orbit_code': 22524938837558928, 'n': 23, 'trace_an': -12}
-
id: 45015582
{'hecke_orbit_code': 22524938837558928, 'n': 24, 'trace_an': 0}
-
id: 45015583
{'hecke_orbit_code': 22524938837558928, 'n': 25, 'trace_an': 6}
-
id: 45015584
{'hecke_orbit_code': 22524938837558928, 'n': 26, 'trace_an': 0}
-
id: 45015585
{'hecke_orbit_code': 22524938837558928, 'n': 27, 'trace_an': 12}
-
id: 45015586
{'hecke_orbit_code': 22524938837558928, 'n': 28, 'trace_an': 0}
-
id: 45015587
{'hecke_orbit_code': 22524938837558928, 'n': 29, 'trace_an': 8}
-
id: 45015588
{'hecke_orbit_code': 22524938837558928, 'n': 30, 'trace_an': 0}
-
id: 45015589
{'hecke_orbit_code': 22524938837558928, 'n': 31, 'trace_an': 2}
-
id: 45015590
{'hecke_orbit_code': 22524938837558928, 'n': 32, 'trace_an': 0}
-
id: 45015591
{'hecke_orbit_code': 22524938837558928, 'n': 33, 'trace_an': 0}
-
id: 45015592
{'hecke_orbit_code': 22524938837558928, 'n': 34, 'trace_an': 0}
-
id: 45015593
{'hecke_orbit_code': 22524938837558928, 'n': 35, 'trace_an': 4}
-
id: 45015594
{'hecke_orbit_code': 22524938837558928, 'n': 36, 'trace_an': 0}
-
id: 45015595
{'hecke_orbit_code': 22524938837558928, 'n': 37, 'trace_an': -10}
-
id: 45015596
{'hecke_orbit_code': 22524938837558928, 'n': 38, 'trace_an': 0}
-
id: 45015597
{'hecke_orbit_code': 22524938837558928, 'n': 39, 'trace_an': -6}
-
id: 45015598
{'hecke_orbit_code': 22524938837558928, 'n': 40, 'trace_an': 0}
-
id: 45015599
{'hecke_orbit_code': 22524938837558928, 'n': 41, 'trace_an': 0}
-
id: 45015600
{'hecke_orbit_code': 22524938837558928, 'n': 42, 'trace_an': 0}
-
id: 45015601
{'hecke_orbit_code': 22524938837558928, 'n': 43, 'trace_an': 0}
-
id: 45015602
{'hecke_orbit_code': 22524938837558928, 'n': 44, 'trace_an': 0}
-
id: 45015603
{'hecke_orbit_code': 22524938837558928, 'n': 45, 'trace_an': 0}
-
id: 45015604
{'hecke_orbit_code': 22524938837558928, 'n': 46, 'trace_an': 0}
-
id: 45015605
{'hecke_orbit_code': 22524938837558928, 'n': 47, 'trace_an': 0}
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id: 45015606
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