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{'Nk2': 18720, 'analytic_conductor': 37.36998814595922, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 2, 'char_parity': 1, 'char_values': [4680, 2, [3511, 2341, 2081, 937, 1081], [2, 2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 2809, 'conrey_indexes': [2809], 'dim': 10, 'field_disc': -65174749855744, 'field_disc_factorization': [[-1, 1], [2, 14], [59, 2], [1069, 2]], 'field_poly': [4, 0, 61, 0, 97, 0, 56, 0, 13, 0, 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': [[7, [4096, 0, 6656, 0, 2832, 0, 492, 0, 37, 0, 1]], [11, [184, 8, -66, -10, 5, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525953339396680, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4680.2.l.h', 'level': 4680, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '1560.2.l.f', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{2}q^{5}-\\beta _{9}q^{7}+(-1+\\beta _{4})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4680.2.l', 'trace_display': [0, 0, -2, 0], 'trace_hash': 725155969216107124, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.979', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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'4680.2.l.h.2809.1', 'level': 4680, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 18720, 'analytic_conductor': 37.36998814595922, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 2, 'char_parity': 1, 'char_values': [4680, 2, [3511, 2341, 2081, 937, 1081], [2, 2, 2, 1, 2]], 'conrey_index': 2809, 'cusp_dim': 976, 'dim': 90, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 755947803208, 'hecke_orbit_dims': [2, 2, 2, 6, 6, 8, 8, 10, 10, 18, 18], 'label': '4680.2.l', 'level': 4680, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 1040, 'mf_new_dim': 90, 'num_forms': 11, 'prim_orbit_index': 2, 'relative_dim': 90, 'sturm_bound': 2016, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [90, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -20, 0, 0, 0, -12, 0, 8, 0, 0, 0, -2, 0, 0, 0, 0, 0, 12, 0, 0, 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0, 0, -480, 0, 0, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, -104, 0, 0, 0, 224, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46359787
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525953339396680, 'source_is_minimal': False, 'source_label': '4680.2.l.h.2809.1', 'source_level': 4680, 'target_conrey_index': 2809, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525953339396680, 'target_is_minimal': False, 'target_label': '4680.2.l.h.2809.1', 'target_level': 4680, 'twist_class_label': '1560.2.l.f.1249.5', 'twist_class_level': 1560, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46359788
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525953339396680, 'source_is_minimal': False, 'source_label': '4680.2.l.h.2809.1', 'source_level': 4680, 'target_conrey_index': 1249, 'target_dim': 10, 'target_embedding_index': 10, 'target_hecke_orbit_code': 22518754084652568, 'target_is_minimal': True, 'target_label': '1560.2.l.f.1249.10', 'target_level': 1560, 'twist_class_label': '1560.2.l.f.1249.5', 'twist_class_level': 1560, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46359789
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525953339396680, 'source_is_minimal': False, 'source_label': '4680.2.l.h.2809.1', 'source_level': 4680, 'target_conrey_index': 2809, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525953339396680, 'target_is_minimal': False, 'target_label': '4680.2.l.h.2809.2', 'target_level': 4680, 'twist_class_label': '1560.2.l.f.1249.5', 'twist_class_level': 1560, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46359790
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525953339396680, 'source_is_minimal': False, 'source_label': '4680.2.l.h.2809.1', 'source_level': 4680, 'target_conrey_index': 1249, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 72058349985729584, 'target_is_minimal': False, 'target_label': '3120.2.l.q.1249.5', 'target_level': 3120, 'twist_class_label': '1560.2.l.f.1249.5', 'twist_class_level': 1560, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46359791
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525953339396680, 'source_is_minimal': False, 'source_label': '4680.2.l.h.2809.1', 'source_level': 4680, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 234187180656828024, 'target_is_minimal': False, 'target_label': '7800.2.a.ca.1.1', 'target_level': 7800, 'twist_class_label': '1560.2.l.f.1249.5', 'twist_class_level': 1560, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46359792
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525953339396680, 'source_is_minimal': False, 'source_label': '4680.2.l.h.2809.1', 'source_level': 4680, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 229683581029457528, 'target_is_minimal': False, 'target_label': '7800.2.a.bz.1.5', 'target_level': 7800, 'twist_class_label': '1560.2.l.f.1249.5', 'twist_class_level': 1560, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46359793
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525953339396680, 'source_is_minimal': False, 'source_label': '4680.2.l.h.2809.1', 'source_level': 4680, 'target_conrey_index': 1249, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518754084652568, 'target_is_minimal': True, 'target_label': '1560.2.l.f.1249.5', 'target_level': 1560, 'twist_class_label': '1560.2.l.f.1249.5', 'twist_class_level': 1560, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46359794
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525953339396680, 'source_is_minimal': False, 'source_label': '4680.2.l.h.2809.1', 'source_level': 4680, 'target_conrey_index': 1249, 'target_dim': 10, 'target_embedding_index': 10, 'target_hecke_orbit_code': 72058349985729584, 'target_is_minimal': False, 'target_label': '3120.2.l.q.1249.10', 'target_level': 3120, 'twist_class_label': '1560.2.l.f.1249.5', 'twist_class_level': 1560, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3675000
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 31525953339396680, 'p': 2}
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id: 3675001
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 31525953339396680, 'p': 3}
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id: 3675002
{'charpoly_factorization': [[[3125, 1250, -125, -100, 100, 116, 20, -4, -1, 2, 1], 1]], 'hecke_orbit_code': 31525953339396680, 'p': 5}
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id: 3675003
{'charpoly_factorization': [[[4096, 0, 6656, 0, 2832, 0, 492, 0, 37, 0, 1], 1]], 'hecke_orbit_code': 31525953339396680, 'p': 7}
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id: 3675004
{'charpoly_factorization': [[[184, 8, -66, -10, 5, 1], 2]], 'hecke_orbit_code': 31525953339396680, 'p': 11}
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id: 3675005
{'charpoly_factorization': [[[1, 0, 1], 5]], 'hecke_orbit_code': 31525953339396680, 'p': 13}
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id: 3675006
{'charpoly_factorization': [[[256, 0, 832, 0, 896, 0, 388, 0, 61, 0, 1], 1]], 'hecke_orbit_code': 31525953339396680, 'p': 17}
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id: 3675007
{'charpoly_factorization': [[[128, -96, -160, -28, 6, 1], 2]], 'hecke_orbit_code': 31525953339396680, 'p': 19}
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id: 3675008
{'charpoly_factorization': [[[1024, 0, 6144, 0, 4880, 0, 860, 0, 53, 0, 1], 1]], 'hecke_orbit_code': 31525953339396680, 'p': 23}
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id: 3675009
{'charpoly_factorization': [[[-64, 112, 24, -24, -2, 1], 2]], 'hecke_orbit_code': 31525953339396680, 'p': 29}
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id: 3675010
{'charpoly_factorization': [[[-1024, 1664, 64, -88, 0, 1], 2]], 'hecke_orbit_code': 31525953339396680, 'p': 31}
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id: 3675011
{'charpoly_factorization': [[[135424, 0, 2071296, 0, 394720, 0, 16256, 0, 225, 0, 1], 1]], 'hecke_orbit_code': 31525953339396680, 'p': 37}
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id: 3675012
{'charpoly_factorization': [[[29816, 9048, -226, -186, -1, 1], 2]], 'hecke_orbit_code': 31525953339396680, 'p': 41}
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id: 3675013
{'charpoly_factorization': [[[409010176, 0, 53592064, 0, 2475008, 0, 48016, 0, 376, 0, 1], 1]], 'hecke_orbit_code': 31525953339396680, 'p': 43}
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id: 3675014
{'charpoly_factorization': [[[40960000, 0, 12774400, 0, 814736, 0, 21012, 0, 240, 0, 1], 1]], 'hecke_orbit_code': 31525953339396680, 'p': 47}
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id: 3675015
{'charpoly_factorization': [[[891136, 0, 31340800, 0, 2092640, 0, 44832, 0, 369, 0, 1], 1]], 'hecke_orbit_code': 31525953339396680, 'p': 53}
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id: 3675016
{'charpoly_factorization': [[[-45088, -11592, 3704, -106, -20, 1], 2]], 'hecke_orbit_code': 31525953339396680, 'p': 59}
-
id: 3675017
{'charpoly_factorization': [[[-62912, -29152, -4196, -104, 19, 1], 2]], 'hecke_orbit_code': 31525953339396680, 'p': 61}
-
id: 3675018
{'charpoly_factorization': [[[16777216, 0, 18350080, 0, 1970176, 0, 44800, 0, 368, 0, 1], 1]], 'hecke_orbit_code': 31525953339396680, 'p': 67}
-
id: 3675019
{'charpoly_factorization': [[[-3104, -11000, -3422, -210, 13, 1], 2]], 'hecke_orbit_code': 31525953339396680, 'p': 71}
-
id: 3675020
{'charpoly_factorization': [[[190219264, 0, 44982784, 0, 2098240, 0, 39440, 0, 328, 0, 1], 1]], 'hecke_orbit_code': 31525953339396680, 'p': 73}
-
id: 3675021
{'charpoly_factorization': [[[2752, 6656, -300, -192, 7, 1], 2]], 'hecke_orbit_code': 31525953339396680, 'p': 79}
-
id: 3675022
{'charpoly_factorization': [[[1048576, 0, 6828032, 0, 954000, 0, 29460, 0, 304, 0, 1], 1]], 'hecke_orbit_code': 31525953339396680, 'p': 83}
-
id: 3675023
{'charpoly_factorization': [[[-200, -200, 206, -10, -9, 1], 2]], 'hecke_orbit_code': 31525953339396680, 'p': 89}
-
id: 3675024
{'charpoly_factorization': [[[2408704, 0, 4429376, 0, 986048, 0, 28692, 0, 293, 0, 1], 1]], 'hecke_orbit_code': 31525953339396680, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 8, 'label': '4680.2.l.h', 'level': 4680, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 194331000
{'hecke_orbit_code': 31525953339396680, 'n': 1, 'trace_an': 10}
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id: 194331001
{'hecke_orbit_code': 31525953339396680, 'n': 2, 'trace_an': 0}
-
id: 194331002
{'hecke_orbit_code': 31525953339396680, 'n': 3, 'trace_an': 0}
-
id: 194331003
{'hecke_orbit_code': 31525953339396680, 'n': 4, 'trace_an': 0}
-
id: 194331004
{'hecke_orbit_code': 31525953339396680, 'n': 5, 'trace_an': -2}
-
id: 194331005
{'hecke_orbit_code': 31525953339396680, 'n': 6, 'trace_an': 0}
-
id: 194331006
{'hecke_orbit_code': 31525953339396680, 'n': 7, 'trace_an': 0}
-
id: 194331007
{'hecke_orbit_code': 31525953339396680, 'n': 8, 'trace_an': 0}
-
id: 194331008
{'hecke_orbit_code': 31525953339396680, 'n': 9, 'trace_an': 0}
-
id: 194331009
{'hecke_orbit_code': 31525953339396680, 'n': 10, 'trace_an': 0}
-
id: 194331010
{'hecke_orbit_code': 31525953339396680, 'n': 11, 'trace_an': -10}
-
id: 194331011
{'hecke_orbit_code': 31525953339396680, 'n': 12, 'trace_an': 0}
-
id: 194331012
{'hecke_orbit_code': 31525953339396680, 'n': 13, 'trace_an': 0}
-
id: 194331013
{'hecke_orbit_code': 31525953339396680, 'n': 14, 'trace_an': 0}
-
id: 194331014
{'hecke_orbit_code': 31525953339396680, 'n': 15, 'trace_an': 0}
-
id: 194331015
{'hecke_orbit_code': 31525953339396680, 'n': 16, 'trace_an': 0}
-
id: 194331016
{'hecke_orbit_code': 31525953339396680, 'n': 17, 'trace_an': 0}
-
id: 194331017
{'hecke_orbit_code': 31525953339396680, 'n': 18, 'trace_an': 0}
-
id: 194331018
{'hecke_orbit_code': 31525953339396680, 'n': 19, 'trace_an': -12}
-
id: 194331019
{'hecke_orbit_code': 31525953339396680, 'n': 20, 'trace_an': 0}
-
id: 194331020
{'hecke_orbit_code': 31525953339396680, 'n': 21, 'trace_an': 0}
-
id: 194331021
{'hecke_orbit_code': 31525953339396680, 'n': 22, 'trace_an': 0}
-
id: 194331022
{'hecke_orbit_code': 31525953339396680, 'n': 23, 'trace_an': 0}
-
id: 194331023
{'hecke_orbit_code': 31525953339396680, 'n': 24, 'trace_an': 0}
-
id: 194331024
{'hecke_orbit_code': 31525953339396680, 'n': 25, 'trace_an': 6}
-
id: 194331025
{'hecke_orbit_code': 31525953339396680, 'n': 26, 'trace_an': 0}
-
id: 194331026
{'hecke_orbit_code': 31525953339396680, 'n': 27, 'trace_an': 0}
-
id: 194331027
{'hecke_orbit_code': 31525953339396680, 'n': 28, 'trace_an': 0}
-
id: 194331028
{'hecke_orbit_code': 31525953339396680, 'n': 29, 'trace_an': 4}
-
id: 194331029
{'hecke_orbit_code': 31525953339396680, 'n': 30, 'trace_an': 0}
-
id: 194331030
{'hecke_orbit_code': 31525953339396680, 'n': 31, 'trace_an': 0}
-
id: 194331031
{'hecke_orbit_code': 31525953339396680, 'n': 32, 'trace_an': 0}
-
id: 194331032
{'hecke_orbit_code': 31525953339396680, 'n': 33, 'trace_an': 0}
-
id: 194331033
{'hecke_orbit_code': 31525953339396680, 'n': 34, 'trace_an': 0}
-
id: 194331034
{'hecke_orbit_code': 31525953339396680, 'n': 35, 'trace_an': -16}
-
id: 194331035
{'hecke_orbit_code': 31525953339396680, 'n': 36, 'trace_an': 0}
-
id: 194331036
{'hecke_orbit_code': 31525953339396680, 'n': 37, 'trace_an': 0}
-
id: 194331037
{'hecke_orbit_code': 31525953339396680, 'n': 38, 'trace_an': 0}
-
id: 194331038
{'hecke_orbit_code': 31525953339396680, 'n': 39, 'trace_an': 0}
-
id: 194331039
{'hecke_orbit_code': 31525953339396680, 'n': 40, 'trace_an': 0}
-
id: 194331040
{'hecke_orbit_code': 31525953339396680, 'n': 41, 'trace_an': 2}
-
id: 194331041
{'hecke_orbit_code': 31525953339396680, 'n': 42, 'trace_an': 0}
-
id: 194331042
{'hecke_orbit_code': 31525953339396680, 'n': 43, 'trace_an': 0}
-
id: 194331043
{'hecke_orbit_code': 31525953339396680, 'n': 44, 'trace_an': 0}
-
id: 194331044
{'hecke_orbit_code': 31525953339396680, 'n': 45, 'trace_an': 0}
-
id: 194331045
{'hecke_orbit_code': 31525953339396680, 'n': 46, 'trace_an': 0}
-
id: 194331046
{'hecke_orbit_code': 31525953339396680, 'n': 47, 'trace_an': 0}
-
id: 194331047
{'hecke_orbit_code': 31525953339396680, 'n': 48, 'trace_an': 0}
-
id: 194331048
{'hecke_orbit_code': 31525953339396680, 'n': 49, 'trace_an': -4}
-
id: 194331049
{'hecke_orbit_code': 31525953339396680, 'n': 50, 'trace_an': 0}
-
id: 194331050
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