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mf_newforms • Show schema
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{'Nk2': 1764, 'analytic_conductor': 7.858807170836051, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [49, 3, [3], [2]], 'cm_discs': [], 'conrey_index': 18, 'dim': 8, 'field_disc': 54095201243136, 'field_disc_factorization': [[2, 12], [3, 4], [113, 4]], 'field_poly': [714364, 89904, -85298, -9104, 4283, 320, -102, -4, 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, [484, 110, 47, -5, 1]], [3, [562448656, 0, 14134736, 0, 331500, 0, 596, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525334931210289, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 49, 'hecke_ring_index_factorization': [[7, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0], [1, 1, 7, 3, 1, 3, 0], [1, 1, 7, 4, -1, 6, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '49.6.c.h', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'minimal_twist': '49.6.a.g', 'nf_label': '8.0.54095201243136.19', 'prim_orbit_index': 3, 'qexp_display': 'q+(3-2\\beta _{1}-\\beta _{3}-\\beta _{6})q^{2}+(-2\\beta _{2}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '5.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '49.6.c', 'trace_display': [10, 0, 0, 0], 'trace_hash': 492653934360784967, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.027', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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{'Nk2': 1764, 'analytic_conductor': 7.858807170836051, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [49, 3, [3], [2]], 'conrey_index': 18, 'cusp_dim': 38, 'dim': 30, 'eis_dim': 16, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 137539616817, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 4, 8], 'label': '49.6.c', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'mf_dim': 54, 'mf_new_dim': 38, 'num_forms': 8, 'prim_orbit_index': 3, 'relative_dim': 15, 'sturm_bound': 28, 'trace_bound': 3, 'trace_display': [3, -8, -38, 0], 'traces': [30, 3, -8, -201, -38, 164, 0, -90, -1381, -778, 916, -196, 1848, 0, -2408, -4805, -2346, 1945, -360, 3416, 0, -4388, 1284, 1392, -39, 1148, -5744, 0, 16748, 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mf_twists_cc • Show schema
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id: 46245133
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 30, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31525334931210289, 'source_is_minimal': False, 'source_label': '49.6.c.h.30.4', 'source_level': 49, 'target_conrey_index': 30, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31525334931210289, 'target_is_minimal': False, 'target_label': '49.6.c.h.30.4', 'target_level': 49, 'twist_class_label': '49.6.a.g.1.1', 'twist_class_level': 49, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 6}
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id: 46245134
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 30, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31525334931210289, 'source_is_minimal': False, 'source_label': '49.6.c.h.30.4', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597864886321, 'target_is_minimal': True, 'target_label': '49.6.a.g.1.1', 'target_level': 49, 'twist_class_label': '49.6.a.g.1.1', 'twist_class_level': 49, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 6}
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id: 46245135
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 30, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31525334931210289, 'source_is_minimal': False, 'source_label': '49.6.c.h.30.4', 'source_level': 49, 'target_conrey_index': 18, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31525334931210289, 'target_is_minimal': False, 'target_label': '49.6.c.h.18.3', 'target_level': 49, 'twist_class_label': '49.6.a.g.1.1', 'twist_class_level': 49, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 6}
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id: 46245136
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 30, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31525334931210289, 'source_is_minimal': False, 'source_label': '49.6.c.h.30.4', 'source_level': 49, 'target_conrey_index': 18, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31525334931210289, 'target_is_minimal': False, 'target_label': '49.6.c.h.18.4', 'target_level': 49, 'twist_class_label': '49.6.a.g.1.1', 'twist_class_level': 49, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 6}
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id: 46245137
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 30, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31525334931210289, 'source_is_minimal': False, 'source_label': '49.6.c.h.30.4', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597864886321, 'target_is_minimal': True, 'target_label': '49.6.a.g.1.2', 'target_level': 49, 'twist_class_label': '49.6.a.g.1.1', 'twist_class_level': 49, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 6}
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id: 46245138
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 30, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31525334931210289, 'source_is_minimal': False, 'source_label': '49.6.c.h.30.4', 'source_level': 49, 'target_conrey_index': 30, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31525334931210289, 'target_is_minimal': False, 'target_label': '49.6.c.h.30.3', 'target_level': 49, 'twist_class_label': '49.6.a.g.1.1', 'twist_class_level': 49, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 6}
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id: 46245139
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 30, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31525334931210289, 'source_is_minimal': False, 'source_label': '49.6.c.h.30.4', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 112589990784926137, 'target_is_minimal': False, 'target_label': '441.6.a.z.1.3', 'target_level': 441, 'twist_class_label': '49.6.a.g.1.1', 'twist_class_level': 49, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 6}
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id: 46245140
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 30, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31525334931210289, 'source_is_minimal': False, 'source_label': '49.6.c.h.30.4', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 112589990784926137, 'target_is_minimal': False, 'target_label': '441.6.a.z.1.4', 'target_level': 441, 'twist_class_label': '49.6.a.g.1.1', 'twist_class_level': 49, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 6}
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id: 46245141
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 30, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31525334931210289, 'source_is_minimal': False, 'source_label': '49.6.c.h.30.4', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 139611588549149456, 'target_is_minimal': False, 'target_label': '784.6.a.bf.1.1', 'target_level': 784, 'twist_class_label': '49.6.a.g.1.1', 'twist_class_level': 49, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 6}
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id: 46245142
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 30, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31525334931210289, 'source_is_minimal': False, 'source_label': '49.6.c.h.30.4', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 139611588549149456, 'target_is_minimal': False, 'target_label': '784.6.a.bf.1.4', 'target_level': 784, 'twist_class_label': '49.6.a.g.1.1', 'twist_class_level': 49, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 6}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 163925
{'charpoly_factorization': [[[484, 110, 47, -5, 1], 2]], 'hecke_orbit_code': 31525334931210289, 'p': 2}
-
id: 163926
{'charpoly_factorization': [[[562448656, 0, 14134736, 0, 331500, 0, 596, 0, 1], 1]], 'hecke_orbit_code': 31525334931210289, 'p': 3}
-
id: 163927
{'charpoly_factorization': [[[136166867931136, 0, 89058235392, 0, 46578368, 0, 7632, 0, 1], 1]], 'hecke_orbit_code': 31525334931210289, 'p': 5}
-
id: 163928
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 31525334931210289, 'p': 7}
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id: 163929
{'charpoly_factorization': [[[54791573776, -228458176, 718500, -976, 1], 2]], 'hecke_orbit_code': 31525334931210289, 'p': 11}
-
id: 163930
{'charpoly_factorization': [[[76158337024, 0, -1260672, 0, 1], 2]], 'hecke_orbit_code': 31525334931210289, 'p': 13}
-
id: 163931
{'charpoly_factorization': [[[2890687353326515213724176, 0, 4443763954878495632, 0, 5131058263500, 0, 2613668, 0, 1], 1]], 'hecke_orbit_code': 31525334931210289, 'p': 17}
-
id: 163932
{'charpoly_factorization': [[[3242404574557456, 0, 77435128011472, 0, 1849249309548, 0, 1359892, 0, 1], 1]], 'hecke_orbit_code': 31525334931210289, 'p': 19}
-
id: 163933
{'charpoly_factorization': [[[25707632896, 572078848, 12890960, -3568, 1], 2]], 'hecke_orbit_code': 31525334931210289, 'p': 23}
-
id: 163934
{'charpoly_factorization': [[[-16661788, 1676, 1], 4]], 'hecke_orbit_code': 31525334931210289, 'p': 29}
-
id: 163935
{'charpoly_factorization': [[[377406626442964785950536830976, 0, 52292656175659475530752, 0, 6631224468889280, 0, 85120848, 0, 1], 1]], 'hecke_orbit_code': 31525334931210289, 'p': 31}
-
id: 163936
{'charpoly_factorization': [[[27395970301456, -24097870064, 15962700, -4604, 1], 2]], 'hecke_orbit_code': 31525334931210289, 'p': 37}
-
id: 163937
{'charpoly_factorization': [[[14370455329863556, 0, -251093444, 0, 1], 2]], 'hecke_orbit_code': 31525334931210289, 'p': 41}
-
id: 163938
{'charpoly_factorization': [[[-998756, -10224, 1], 4]], 'hecke_orbit_code': 31525334931210289, 'p': 43}
-
id: 163939
{'charpoly_factorization': [[[292874383740727226037763242397696, 0, 5975728128741840769291264, 0, 104813535091880640, 0, 349180624, 0, 1], 1]], 'hecke_orbit_code': 31525334931210289, 'p': 47}
-
id: 163940
{'charpoly_factorization': [[[223007115481909264, -24301279586320, 2175895308, -51460, 1], 2]], 'hecke_orbit_code': 31525334931210289, 'p': 53}
-
id: 163941
{'charpoly_factorization': [[[12542083319401054659164615431061776, 0, 139961646870315703925563344, 0, 1449891227923962860, 0, 1249753044, 0, 1], 1]], 'hecke_orbit_code': 31525334931210289, 'p': 59}
-
id: 163942
{'charpoly_factorization': [[[1410919541890977408739225716697010176, 0, 2713277024741833262221988864, 0, 4029961808345633472, 0, 2284246736, 0, 1], 1]], 'hecke_orbit_code': 31525334931210289, 'p': 61}
-
id: 163943
{'charpoly_factorization': [[[14360746439920232704, 43382854855296, 3920614256, -11448, 1], 2]], 'hecke_orbit_code': 31525334931210289, 'p': 67}
-
id: 163944
{'charpoly_factorization': [[[953601968, 76912, 1], 4]], 'hecke_orbit_code': 31525334931210289, 'p': 71}
-
id: 163945
{'charpoly_factorization': [[[438856577071634433159669328273936, 0, 128243347888737595635885456, 0, 37454520616069104332, 0, 6121721124, 0, 1], 1]], 'hecke_orbit_code': 31525334931210289, 'p': 73}
-
id: 163946
{'charpoly_factorization': [[[149515235584, -17533255168, 2055691664, -45344, 1], 2]], 'hecke_orbit_code': 31525334931210289, 'p': 79}
-
id: 163947
{'charpoly_factorization': [[[17246872858022500, 0, -9034370100, 0, 1], 2]], 'hecke_orbit_code': 31525334931210289, 'p': 83}
-
id: 163948
{'charpoly_factorization': [[[185865600006357832319704893421865164816, 0, 103857266373472491473559235088, 0, 44399711098841573388, 0, 7617937028, 0, 1], 1]], 'hecke_orbit_code': 31525334931210289, 'p': 89}
-
id: 163949
{'charpoly_factorization': [[[114671792612888644, 0, -11859566628, 0, 1], 2]], 'hecke_orbit_code': 31525334931210289, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 8, 'label': '49.6.c.h', 'level': 49, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 49822873
{'hecke_orbit_code': 31525334931210289, 'n': 1, 'trace_an': 8}
-
id: 49822874
{'hecke_orbit_code': 31525334931210289, 'n': 2, 'trace_an': 10}
-
id: 49822875
{'hecke_orbit_code': 31525334931210289, 'n': 3, 'trace_an': 0}
-
id: 49822876
{'hecke_orbit_code': 31525334931210289, 'n': 4, 'trace_an': -10}
-
id: 49822877
{'hecke_orbit_code': 31525334931210289, 'n': 5, 'trace_an': 0}
-
id: 49822878
{'hecke_orbit_code': 31525334931210289, 'n': 6, 'trace_an': 0}
-
id: 49822879
{'hecke_orbit_code': 31525334931210289, 'n': 7, 'trace_an': 0}
-
id: 49822880
{'hecke_orbit_code': 31525334931210289, 'n': 8, 'trace_an': -540}
-
id: 49822881
{'hecke_orbit_code': 31525334931210289, 'n': 9, 'trace_an': -220}
-
id: 49822882
{'hecke_orbit_code': 31525334931210289, 'n': 10, 'trace_an': 0}
-
id: 49822883
{'hecke_orbit_code': 31525334931210289, 'n': 11, 'trace_an': 1952}
-
id: 49822884
{'hecke_orbit_code': 31525334931210289, 'n': 12, 'trace_an': 0}
-
id: 49822885
{'hecke_orbit_code': 31525334931210289, 'n': 13, 'trace_an': 0}
-
id: 49822886
{'hecke_orbit_code': 31525334931210289, 'n': 14, 'trace_an': 0}
-
id: 49822887
{'hecke_orbit_code': 31525334931210289, 'n': 15, 'trace_an': -8192}
-
id: 49822888
{'hecke_orbit_code': 31525334931210289, 'n': 16, 'trace_an': 1566}
-
id: 49822889
{'hecke_orbit_code': 31525334931210289, 'n': 17, 'trace_an': 0}
-
id: 49822890
{'hecke_orbit_code': 31525334931210289, 'n': 18, 'trace_an': 5974}
-
id: 49822891
{'hecke_orbit_code': 31525334931210289, 'n': 19, 'trace_an': 0}
-
id: 49822892
{'hecke_orbit_code': 31525334931210289, 'n': 20, 'trace_an': 0}
-
id: 49822893
{'hecke_orbit_code': 31525334931210289, 'n': 21, 'trace_an': 0}
-
id: 49822894
{'hecke_orbit_code': 31525334931210289, 'n': 22, 'trace_an': 7048}
-
id: 49822895
{'hecke_orbit_code': 31525334931210289, 'n': 23, 'trace_an': 7136}
-
id: 49822896
{'hecke_orbit_code': 31525334931210289, 'n': 24, 'trace_an': 0}
-
id: 49822897
{'hecke_orbit_code': 31525334931210289, 'n': 25, 'trace_an': -2764}
-
id: 49822898
{'hecke_orbit_code': 31525334931210289, 'n': 26, 'trace_an': 0}
-
id: 49822899
{'hecke_orbit_code': 31525334931210289, 'n': 27, 'trace_an': 0}
-
id: 49822900
{'hecke_orbit_code': 31525334931210289, 'n': 28, 'trace_an': 0}
-
id: 49822901
{'hecke_orbit_code': 31525334931210289, 'n': 29, 'trace_an': -6704}
-
id: 49822902
{'hecke_orbit_code': 31525334931210289, 'n': 30, 'trace_an': -25608}
-
id: 49822903
{'hecke_orbit_code': 31525334931210289, 'n': 31, 'trace_an': 0}
-
id: 49822904
{'hecke_orbit_code': 31525334931210289, 'n': 32, 'trace_an': -27810}
-
id: 49822905
{'hecke_orbit_code': 31525334931210289, 'n': 33, 'trace_an': 0}
-
id: 49822906
{'hecke_orbit_code': 31525334931210289, 'n': 34, 'trace_an': 0}
-
id: 49822907
{'hecke_orbit_code': 31525334931210289, 'n': 35, 'trace_an': 0}
-
id: 49822908
{'hecke_orbit_code': 31525334931210289, 'n': 36, 'trace_an': 55340}
-
id: 49822909
{'hecke_orbit_code': 31525334931210289, 'n': 37, 'trace_an': 9208}
-
id: 49822910
{'hecke_orbit_code': 31525334931210289, 'n': 38, 'trace_an': 0}
-
id: 49822911
{'hecke_orbit_code': 31525334931210289, 'n': 39, 'trace_an': -2464}
-
id: 49822912
{'hecke_orbit_code': 31525334931210289, 'n': 40, 'trace_an': 0}
-
id: 49822913
{'hecke_orbit_code': 31525334931210289, 'n': 41, 'trace_an': 0}
-
id: 49822914
{'hecke_orbit_code': 31525334931210289, 'n': 42, 'trace_an': 0}
-
id: 49822915
{'hecke_orbit_code': 31525334931210289, 'n': 43, 'trace_an': 40896}
-
id: 49822916
{'hecke_orbit_code': 31525334931210289, 'n': 44, 'trace_an': -1900}
-
id: 49822917
{'hecke_orbit_code': 31525334931210289, 'n': 45, 'trace_an': 0}
-
id: 49822918
{'hecke_orbit_code': 31525334931210289, 'n': 46, 'trace_an': -56712}
-
id: 49822919
{'hecke_orbit_code': 31525334931210289, 'n': 47, 'trace_an': 0}
-
id: 49822920
{'hecke_orbit_code': 31525334931210289, 'n': 48, 'trace_an': 0}
-
id: 49822921
{'hecke_orbit_code': 31525334931210289, 'n': 49, 'trace_an': 0}
-
id: 49822922
{'hecke_orbit_code': 31525334931210289, 'n': 50, 'trace_an': -86140}
-
id: 49822923
{'hecke_orbit_code': 31525334931210289, 'n': 51, 'trace_an': 67408}
-
id: 49822924
{'hecke_orbit_code': 31525334931210289, 'n': 52, 'trace_an': 0}
-
id: 49822925
{'hecke_orbit_code': 31525334931210289, 'n': 53, 'trace_an': 102920}
-
id: 49822926
{'hecke_orbit_code': 31525334931210289, 'n': 54, 'trace_an': 0}
-
id: 49822927
{'hecke_orbit_code': 31525334931210289, 'n': 55, 'trace_an': 0}
-
id: 49822928
{'hecke_orbit_code': 31525334931210289, 'n': 56, 'trace_an': 0}
-
id: 49822929
{'hecke_orbit_code': 31525334931210289, 'n': 57, 'trace_an': -31152}
-
id: 49822930
{'hecke_orbit_code': 31525334931210289, 'n': 58, 'trace_an': -96972}
-
id: 49822931
{'hecke_orbit_code': 31525334931210289, 'n': 59, 'trace_an': 0}
-
id: 49822932
{'hecke_orbit_code': 31525334931210289, 'n': 60, 'trace_an': 87080}
-
id: 49822933
{'hecke_orbit_code': 31525334931210289, 'n': 61, 'trace_an': 0}
-
id: 49822934
{'hecke_orbit_code': 31525334931210289, 'n': 62, 'trace_an': 0}
-
id: 49822935
{'hecke_orbit_code': 31525334931210289, 'n': 63, 'trace_an': 0}
-
id: 49822936
{'hecke_orbit_code': 31525334931210289, 'n': 64, 'trace_an': -80636}
-
id: 49822937
{'hecke_orbit_code': 31525334931210289, 'n': 65, 'trace_an': 63168}
-
id: 49822938
{'hecke_orbit_code': 31525334931210289, 'n': 66, 'trace_an': 0}
-
id: 49822939
{'hecke_orbit_code': 31525334931210289, 'n': 67, 'trace_an': 22896}
-
id: 49822940
{'hecke_orbit_code': 31525334931210289, 'n': 68, 'trace_an': 0}
-
id: 49822941
{'hecke_orbit_code': 31525334931210289, 'n': 69, 'trace_an': 0}
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