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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': 8, 'hecke_orbit_code': 31525472303055323, '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, 1, 1, 1, 1, 1, 1], [1, 1, 19, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '475.2.e.h', '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, 'minimal_twist': '475.2.e.f', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{7}-\\beta _{8})q^{2}+(-1+\\beta _{1}-\\beta _{2}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '475.2.e', 'trace_display': [2, 3, 0, -4], 'trace_hash': 555303489232269181, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.043', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.643', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '481.068', 'prec': 24}, 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mf_hecke_cc • Show schema
Hide schema
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-0.47774436308510426, -0.27913723452546585, -0.3021451840935224, -0.39613729623373617, -0.48548313872669485], 'char_orbit_index': 5, 'conrey_index': 201, 'dual_conrey_index': 26, 'dual_embedding_index': 5, 'dual_embedding_m': 5, 'embedding_index': 5, 'embedding_m': 11, 'embedding_root_imag': 2.089450180989349, 'embedding_root_real': 1.206344624452513, 'hecke_orbit': 8, 'hecke_orbit_code': 31525472303055323, 'label': '475.2.e.h.201.5', 'level': 475, 'weight': 2}
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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: 46265663
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525472303055323, 'source_is_minimal': True, 'source_label': '475.2.e.h.201.5', 'source_level': 475, 'target_conrey_index': 201, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 31525472303055323, 'target_is_minimal': True, 'target_label': '475.2.e.h.201.5', 'target_level': 475, 'twist_class_label': '475.2.e.f.26.2', 'twist_class_level': 475, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46265664
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525472303055323, 'source_is_minimal': True, 'source_label': '475.2.e.h.201.5', 'source_level': 475, 'target_conrey_index': 49, 'target_dim': 24, 'target_embedding_index': 12, 'target_hecke_orbit_code': 13511417390957019, 'target_is_minimal': False, 'target_label': '475.2.j.d.49.12', 'target_level': 475, 'twist_class_label': '475.2.e.f.26.2', 'twist_class_level': 475, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46265665
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525472303055323, 'source_is_minimal': True, 'source_label': '475.2.e.h.201.5', 'source_level': 475, 'target_conrey_index': 49, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511417390957019, 'target_is_minimal': False, 'target_label': '475.2.j.d.49.1', 'target_level': 475, 'twist_class_label': '475.2.e.f.26.2', 'twist_class_level': 475, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46265666
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525472303055323, 'source_is_minimal': True, 'source_label': '475.2.e.h.201.5', 'source_level': 475, 'target_conrey_index': 201, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273048314331, 'target_is_minimal': True, 'target_label': '475.2.e.f.201.2', 'target_level': 475, 'twist_class_label': '475.2.e.f.26.2', 'twist_class_level': 475, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46265667
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525472303055323, 'source_is_minimal': True, 'source_label': '475.2.e.h.201.5', 'source_level': 475, 'target_conrey_index': 26, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 31525472303055323, 'target_is_minimal': True, 'target_label': '475.2.e.h.26.5', 'target_level': 475, 'twist_class_label': '475.2.e.f.26.2', 'twist_class_level': 475, 'twisting_char_label': '19.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46265668
{'conductor': 19, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525472303055323, 'source_is_minimal': True, 'source_label': '475.2.e.h.201.5', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 225179981402088257, 'target_is_minimal': False, 'target_label': '9025.2.a.by.1.5', 'target_level': 9025, 'twist_class_label': '475.2.e.f.26.2', 'twist_class_level': 475, 'twisting_char_label': '19.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46265669
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525472303055323, 'source_is_minimal': True, 'source_label': '475.2.e.h.201.5', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 193654784010494785, 'target_is_minimal': False, 'target_label': '9025.2.a.br.1.2', 'target_level': 9025, 'twist_class_label': '475.2.e.f.26.2', 'twist_class_level': 475, 'twisting_char_label': '19.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46265670
{'conductor': 95, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525472303055323, 'source_is_minimal': True, 'source_label': '475.2.e.h.201.5', 'source_level': 475, 'target_conrey_index': 349, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511417390957019, 'target_is_minimal': False, 'target_label': '475.2.j.d.349.1', 'target_level': 475, 'twist_class_label': '475.2.e.f.26.2', 'twist_class_level': 475, 'twisting_char_label': '95.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46265671
{'conductor': 95, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525472303055323, 'source_is_minimal': True, 'source_label': '475.2.e.h.201.5', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 229683581029458753, 'target_is_minimal': False, 'target_label': '9025.2.a.bz.1.5', 'target_level': 9025, 'twist_class_label': '475.2.e.f.26.2', 'twist_class_level': 475, 'twisting_char_label': '95.49', 'twisting_conrey_index': 49, 'weight': 2}
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id: 46265672
{'conductor': 95, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525472303055323, 'source_is_minimal': True, 'source_label': '475.2.e.h.201.5', 'source_level': 475, 'target_conrey_index': 26, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273048314331, 'target_is_minimal': True, 'target_label': '475.2.e.f.26.2', 'target_level': 475, 'twist_class_label': '475.2.e.f.26.2', 'twist_class_level': 475, 'twisting_char_label': '95.64', 'twisting_conrey_index': 64, 'weight': 2}
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id: 46265673
{'conductor': 95, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525472303055323, 'source_is_minimal': True, 'source_label': '475.2.e.h.201.5', 'source_level': 475, 'target_conrey_index': 349, 'target_dim': 24, 'target_embedding_index': 12, 'target_hecke_orbit_code': 13511417390957019, 'target_is_minimal': False, 'target_label': '475.2.j.d.349.12', 'target_level': 475, 'twist_class_label': '475.2.e.f.26.2', 'twist_class_level': 475, 'twisting_char_label': '95.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 46265674
{'conductor': 95, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 201, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525472303055323, 'source_is_minimal': True, 'source_label': '475.2.e.h.201.5', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 198158383637865281, 'target_is_minimal': False, 'target_label': '9025.2.a.bs.1.2', 'target_level': 9025, 'twist_class_label': '475.2.e.f.26.2', '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: 941200
{'charpoly_factorization': [[[1, -3, 10, 1, 4, -1, 1], 2]], 'hecke_orbit_code': 31525472303055323, 'p': 2}
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id: 941201
{'charpoly_factorization': [[[25, 125, 715, -240, 809, -7, 500, -85, 109, -18, 17, -3, 1], 1]], 'hecke_orbit_code': 31525472303055323, 'p': 3}
-
id: 941202
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 31525472303055323, 'p': 5}
-
id: 941203
{'charpoly_factorization': [[[-67, -38, 123, -20, -21, 2, 1], 2]], 'hecke_orbit_code': 31525472303055323, 'p': 7}
-
id: 941204
{'charpoly_factorization': [[[247, -871, 522, 9, -46, 1, 1], 2]], 'hecke_orbit_code': 31525472303055323, 'p': 11}
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id: 941205
{'charpoly_factorization': [[[100489, 223485, 575641, -86714, 148087, -14703, 24090, -3229, 1743, -98, 61, -5, 1], 1]], 'hecke_orbit_code': 31525472303055323, 'p': 13}
-
id: 941206
{'charpoly_factorization': [[[1, -107, 11529, 8454, 12047, 893, 4406, 899, 655, 34, 33, 3, 1], 1]], 'hecke_orbit_code': 31525472303055323, 'p': 17}
-
id: 941207
{'charpoly_factorization': [[[47045881, 14856594, 1954815, 370386, 101802, 16302, 79, 858, 282, 54, 15, 6, 1], 1]], 'hecke_orbit_code': 31525472303055323, 'p': 19}
-
id: 941208
{'charpoly_factorization': [[[1151329, 2302658, 4232985, 1448550, 885458, 137266, 116633, 16678, 4870, 314, 93, 6, 1], 1]], 'hecke_orbit_code': 31525472303055323, 'p': 23}
-
id: 941209
{'charpoly_factorization': [[[163353961, 34419233, 47384589, -10935534, 8218031, -924611, 331046, -11057, 8815, -130, 117, 3, 1], 1]], 'hecke_orbit_code': 31525472303055323, 'p': 29}
-
id: 941210
{'charpoly_factorization': [[[-631, 1863, 764, -189, -64, 3, 1], 2]], 'hecke_orbit_code': 31525472303055323, 'p': 31}
-
id: 941211
{'charpoly_factorization': [[[-64, -1056, 288, 168, -32, -6, 1], 2]], 'hecke_orbit_code': 31525472303055323, 'p': 37}
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id: 941212
{'charpoly_factorization': [[[1739761, 1354613, 2479249, 286342, 1741339, 635125, 245262, 37483, 7475, 794, 145, 11, 1], 1]], 'hecke_orbit_code': 31525472303055323, 'p': 41}
-
id: 941213
{'charpoly_factorization': [[[829921, -1518637, 1924371, -1314032, 686083, -243355, 74262, -17515, 4163, -768, 131, -13, 1], 1]], 'hecke_orbit_code': 31525472303055323, 'p': 43}
-
id: 941214
{'charpoly_factorization': [[[537266041, 183809470, 121690023, 41259582, 19972138, 5575722, 1419407, 211818, 27642, 1862, 167, 6, 1], 1]], 'hecke_orbit_code': 31525472303055323, 'p': 47}
-
id: 941215
{'charpoly_factorization': [[[116868943321, -28736151938, 9051617913, -1270240062, 273530066, -32694250, 5385041, -470650, 56866, -3902, 393, -18, 1], 1]], 'hecke_orbit_code': 31525472303055323, 'p': 53}
-
id: 941216
{'charpoly_factorization': [[[134397649, -389385684, 978244661, -426814164, 159075790, -20063984, 3327161, -60248, 44534, -300, 253, 4, 1], 1]], 'hecke_orbit_code': 31525472303055323, 'p': 59}
-
id: 941217
{'charpoly_factorization': [[[305935081, 525132293, 662278559, 353918480, 140095873, 27524283, 4663478, 495207, 63649, 5680, 527, 25, 1], 1]], 'hecke_orbit_code': 31525472303055323, 'p': 61}
-
id: 941218
{'charpoly_factorization': [[[145926400, 158489600, 216492160, -30201600, 21263744, -1498912, 1052864, -91072, 27688, -504, 200, -6, 1], 1]], 'hecke_orbit_code': 31525472303055323, 'p': 67}
-
id: 941219
{'charpoly_factorization': [[[135885649, -349919826, 806367199, -323536874, 166936790, 35890178, 9976043, 797342, 88934, 4330, 463, 18, 1], 1]], 'hecke_orbit_code': 31525472303055323, 'p': 71}
-
id: 941220
{'charpoly_factorization': [[[4699788025, 462403475, 567747015, -30131360, 47699269, -989995, 1144758, -17239, 20093, -144, 167, -1, 1], 1]], 'hecke_orbit_code': 31525472303055323, 'p': 73}
-
id: 941221
{'charpoly_factorization': [[[106504975201, 60624593515, 26926848793, 5367195402, 944078261, 83184961, 10171432, 565115, 85285, 2256, 331, 3, 1], 1]], 'hecke_orbit_code': 31525472303055323, 'p': 79}
-
id: 941222
{'charpoly_factorization': [[[378053, -120965, -5864, 3729, -74, -23, 1], 2]], 'hecke_orbit_code': 31525472303055323, 'p': 83}
-
id: 941223
{'charpoly_factorization': [[[122226452881, -7908155580, 10282187123, -894930972, 723106926, -51342876, 12378927, 22380, 92510, 684, 451, 12, 1], 1]], 'hecke_orbit_code': 31525472303055323, 'p': 89}
-
id: 941224
{'charpoly_factorization': [[[25482056161, -3286642659, 3583004411, 299226492, 347222589, 7029399, 6229806, 248487, 82877, 1644, 331, -3, 1], 1]], 'hecke_orbit_code': 31525472303055323, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 8, 'label': '475.2.e.h', 'level': 475, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 193381000
{'hecke_orbit_code': 31525472303055323, 'n': 1, 'trace_an': 12}
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id: 193381001
{'hecke_orbit_code': 31525472303055323, 'n': 2, 'trace_an': 2}
-
id: 193381002
{'hecke_orbit_code': 31525472303055323, 'n': 3, 'trace_an': 3}
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id: 193381003
{'hecke_orbit_code': 31525472303055323, 'n': 4, 'trace_an': -2}
-
id: 193381004
{'hecke_orbit_code': 31525472303055323, 'n': 5, 'trace_an': 0}
-
id: 193381005
{'hecke_orbit_code': 31525472303055323, 'n': 6, 'trace_an': 1}
-
id: 193381006
{'hecke_orbit_code': 31525472303055323, 'n': 7, 'trace_an': -4}
-
id: 193381007
{'hecke_orbit_code': 31525472303055323, 'n': 8, 'trace_an': -12}
-
id: 193381008
{'hecke_orbit_code': 31525472303055323, 'n': 9, 'trace_an': -7}
-
id: 193381009
{'hecke_orbit_code': 31525472303055323, 'n': 10, 'trace_an': 0}
-
id: 193381010
{'hecke_orbit_code': 31525472303055323, 'n': 11, 'trace_an': -2}
-
id: 193381011
{'hecke_orbit_code': 31525472303055323, 'n': 12, 'trace_an': -14}
-
id: 193381012
{'hecke_orbit_code': 31525472303055323, 'n': 13, 'trace_an': 5}
-
id: 193381013
{'hecke_orbit_code': 31525472303055323, 'n': 14, 'trace_an': 6}
-
id: 193381014
{'hecke_orbit_code': 31525472303055323, 'n': 15, 'trace_an': 0}
-
id: 193381015
{'hecke_orbit_code': 31525472303055323, 'n': 16, 'trace_an': 6}
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id: 193381016
{'hecke_orbit_code': 31525472303055323, 'n': 17, 'trace_an': -3}
-
id: 193381017
{'hecke_orbit_code': 31525472303055323, 'n': 18, 'trace_an': -14}
-
id: 193381018
{'hecke_orbit_code': 31525472303055323, 'n': 19, 'trace_an': -6}
-
id: 193381019
{'hecke_orbit_code': 31525472303055323, 'n': 20, 'trace_an': 0}
-
id: 193381020
{'hecke_orbit_code': 31525472303055323, 'n': 21, 'trace_an': -3}
-
id: 193381021
{'hecke_orbit_code': 31525472303055323, 'n': 22, 'trace_an': 9}
-
id: 193381022
{'hecke_orbit_code': 31525472303055323, 'n': 23, 'trace_an': -6}
-
id: 193381023
{'hecke_orbit_code': 31525472303055323, 'n': 24, 'trace_an': -11}
-
id: 193381024
{'hecke_orbit_code': 31525472303055323, 'n': 25, 'trace_an': 0}
-
id: 193381025
{'hecke_orbit_code': 31525472303055323, 'n': 26, 'trace_an': 38}
-
id: 193381026
{'hecke_orbit_code': 31525472303055323, 'n': 27, 'trace_an': -36}
-
id: 193381027
{'hecke_orbit_code': 31525472303055323, 'n': 28, 'trace_an': -4}
-
id: 193381028
{'hecke_orbit_code': 31525472303055323, 'n': 29, 'trace_an': -3}
-
id: 193381029
{'hecke_orbit_code': 31525472303055323, 'n': 30, 'trace_an': 0}
-
id: 193381030
{'hecke_orbit_code': 31525472303055323, 'n': 31, 'trace_an': -6}
-
id: 193381031
{'hecke_orbit_code': 31525472303055323, 'n': 32, 'trace_an': -6}
-
id: 193381032
{'hecke_orbit_code': 31525472303055323, 'n': 33, 'trace_an': -18}
-
id: 193381033
{'hecke_orbit_code': 31525472303055323, 'n': 34, 'trace_an': 1}
-
id: 193381034
{'hecke_orbit_code': 31525472303055323, 'n': 35, 'trace_an': 0}
-
id: 193381035
{'hecke_orbit_code': 31525472303055323, 'n': 36, 'trace_an': -13}
-
id: 193381036
{'hecke_orbit_code': 31525472303055323, 'n': 37, 'trace_an': 12}
-
id: 193381037
{'hecke_orbit_code': 31525472303055323, 'n': 38, 'trace_an': 18}
-
id: 193381038
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