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mf_newforms • Show schema
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{'Nk2': 2200, 'analytic_conductor': 4.391772111170421, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 5, 'char_parity': 1, 'char_values': [550, 5, [177, 101], [5, 4]], 'cm_discs': [], 'conrey_index': 201, 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, -3, 4, -2, 1]], [7, [25, -25, 15, -5, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022078834115110, 'hecke_ring_generator_nbound': 2, '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, 11, 3, 1, 5, 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': '550.2.h.g', 'level': 550, '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, 5, 11], 'level_radical': 110, 'minimal_twist': '550.2.h.c', 'nf_label': '4.0.125.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\zeta_{10}+\\zeta_{10}^{2}-\\zeta_{10}^{3})q^{2}+(\\zeta_{10}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '550.2.h', 'trace_display': [1, 2, 0, 5], 'trace_hash': 2024392050629245195, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.861', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '42.146', 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2200, 'analytic_conductor': 4.391772111170421, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 5, 'char_parity': 1, 'char_values': [550, 5, [177, 101], [5, 4]], 'conrey_index': 201, 'cusp_dim': 312, 'dim': 76, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 481069892134, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8], 'label': '550.2.h', 'level': 550, '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, 5, 11], 'level_radical': 110, 'mf_dim': 408, 'mf_new_dim': 76, 'num_forms': 14, 'prim_orbit_index': 3, 'relative_dim': 19, 'sturm_bound': 180, 'trace_bound': 7, 'trace_display': [-1, 0, 0, -2], 'traces': [76, -1, 0, -19, 0, 5, -2, -1, -31, 0, 15, -10, 12, -10, 0, -19, -10, -8, 23, 0, -28, 1, -12, 5, 0, 14, 21, -2, 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mf_twists_cc • Show schema
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id: 45834509
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 201, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022078834115110, 'source_is_minimal': True, 'source_label': '550.2.h.g.201.1', 'source_level': 550, 'target_conrey_index': 201, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022078834115110, 'target_is_minimal': True, 'target_label': '550.2.h.g.201.1', 'target_level': 550, 'twist_class_label': '550.2.h.c.201.1', 'twist_class_level': 550, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45834510
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 201, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022078834115110, 'source_is_minimal': True, 'source_label': '550.2.h.g.201.1', 'source_level': 550, 'target_conrey_index': 399, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18016185249432102, 'target_is_minimal': False, 'target_label': '550.2.ba.e.399.2', 'target_level': 550, 'twist_class_label': '550.2.h.c.201.1', 'twist_class_level': 550, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45834511
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 201, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022078834115110, 'source_is_minimal': True, 'source_label': '550.2.h.g.201.1', 'source_level': 550, 'target_conrey_index': 399, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18016185249432102, 'target_is_minimal': False, 'target_label': '550.2.ba.e.399.1', 'target_level': 550, 'twist_class_label': '550.2.h.c.201.1', 'twist_class_level': 550, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45834512
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 201, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022078834115110, 'source_is_minimal': True, 'source_label': '550.2.h.g.201.1', 'source_level': 550, 'target_conrey_index': 201, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007680324633126, 'target_is_minimal': True, 'target_label': '550.2.h.c.201.1', 'target_level': 550, 'twist_class_label': '550.2.h.c.201.1', 'twist_class_level': 550, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45834513
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 201, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022078834115110, 'source_is_minimal': True, 'source_label': '550.2.h.g.201.1', 'source_level': 550, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 310748374322124706, 'target_is_minimal': False, 'target_label': '6050.2.a.cr.1.2', 'target_level': 6050, 'twist_class_label': '550.2.h.c.201.1', 'twist_class_level': 550, 'twisting_char_label': '11.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45834514
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 201, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022078834115110, 'source_is_minimal': True, 'source_label': '550.2.h.g.201.1', 'source_level': 550, 'target_conrey_index': 301, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022078834115110, 'target_is_minimal': True, 'target_label': '550.2.h.g.301.1', 'target_level': 550, 'twist_class_label': '550.2.h.c.201.1', 'twist_class_level': 550, 'twisting_char_label': '11.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45834515
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 201, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022078834115110, 'source_is_minimal': True, 'source_label': '550.2.h.g.201.1', 'source_level': 550, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 234187180656826274, 'target_is_minimal': False, 'target_label': '6050.2.a.ca.1.2', 'target_level': 6050, 'twist_class_label': '550.2.h.c.201.1', 'twist_class_level': 550, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 45834516
{'conductor': 55, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 201, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022078834115110, 'source_is_minimal': True, 'source_label': '550.2.h.g.201.1', 'source_level': 550, 'target_conrey_index': 301, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007680324633126, 'target_is_minimal': True, 'target_label': '550.2.h.c.301.1', 'target_level': 550, 'twist_class_label': '550.2.h.c.201.1', 'twist_class_level': 550, 'twisting_char_label': '55.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45834517
{'conductor': 55, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 201, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022078834115110, 'source_is_minimal': True, 'source_label': '550.2.h.g.201.1', 'source_level': 550, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 297237575440013218, 'target_is_minimal': False, 'target_label': '6050.2.a.co.1.1', 'target_level': 6050, 'twist_class_label': '550.2.h.c.201.1', 'twist_class_level': 550, 'twisting_char_label': '55.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 45834518
{'conductor': 55, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 201, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022078834115110, 'source_is_minimal': True, 'source_label': '550.2.h.g.201.1', 'source_level': 550, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 220676381774714786, 'target_is_minimal': False, 'target_label': '6050.2.a.bx.1.1', 'target_level': 6050, 'twist_class_label': '550.2.h.c.201.1', 'twist_class_level': 550, 'twisting_char_label': '55.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 45834519
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 201, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022078834115110, 'source_is_minimal': True, 'source_label': '550.2.h.g.201.1', 'source_level': 550, 'target_conrey_index': 499, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18016185249432102, 'target_is_minimal': False, 'target_label': '550.2.ba.e.499.1', 'target_level': 550, 'twist_class_label': '550.2.h.c.201.1', 'twist_class_level': 550, 'twisting_char_label': '55.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 45834520
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 201, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022078834115110, 'source_is_minimal': True, 'source_label': '550.2.h.g.201.1', 'source_level': 550, 'target_conrey_index': 499, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18016185249432102, 'target_is_minimal': False, 'target_label': '550.2.ba.e.499.2', 'target_level': 550, 'twist_class_label': '550.2.h.c.201.1', 'twist_class_level': 550, 'twisting_char_label': '55.48', 'twisting_conrey_index': 48, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1036250
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 2}
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id: 1036251
{'charpoly_factorization': [[[1, -3, 4, -2, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 3}
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id: 1036252
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022078834115110, 'p': 5}
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id: 1036253
{'charpoly_factorization': [[[25, -25, 15, -5, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 7}
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id: 1036254
{'charpoly_factorization': [[[121, -44, 6, -4, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 11}
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id: 1036255
{'charpoly_factorization': [[[1, -7, 19, -3, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 13}
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id: 1036256
{'charpoly_factorization': [[[1, 4, 6, -1, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 17}
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id: 1036257
{'charpoly_factorization': [[[1, 4, 6, -1, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 19}
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id: 1036258
{'charpoly_factorization': [[[-11, 1, 1], 2]], 'hecke_orbit_code': 27022078834115110, 'p': 23}
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id: 1036259
{'charpoly_factorization': [[[25, 25, 85, -15, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 29}
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id: 1036260
{'charpoly_factorization': [[[3481, -177, 79, -13, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 31}
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id: 1036261
{'charpoly_factorization': [[[361, -247, 64, 2, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 37}
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id: 1036262
{'charpoly_factorization': [[[1296, 432, 144, 18, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 41}
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id: 1036263
{'charpoly_factorization': [[[5, 10, 1], 2]], 'hecke_orbit_code': 27022078834115110, 'p': 43}
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id: 1036264
{'charpoly_factorization': [[[1, -3, 19, -7, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 47}
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id: 1036265
{'charpoly_factorization': [[[25, 25, 10, 0, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 53}
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id: 1036266
{'charpoly_factorization': [[[841, -493, 109, 3, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 59}
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id: 1036267
{'charpoly_factorization': [[[25, 25, 15, 5, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 61}
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id: 1036268
{'charpoly_factorization': [[[-59, 3, 1], 2]], 'hecke_orbit_code': 27022078834115110, 'p': 67}
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id: 1036269
{'charpoly_factorization': [[[21025, 4350, 460, 25, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 71}
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id: 1036270
{'charpoly_factorization': [[[14641, 484, 166, 19, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 73}
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id: 1036271
{'charpoly_factorization': [[[5041, -1207, 249, -23, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 79}
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id: 1036272
{'charpoly_factorization': [[[6561, 729, 81, 9, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 83}
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id: 1036273
{'charpoly_factorization': [[[-121, 4, 1], 2]], 'hecke_orbit_code': 27022078834115110, 'p': 89}
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id: 1036274
{'charpoly_factorization': [[[20736, 1728, 144, 12, 1], 1]], 'hecke_orbit_code': 27022078834115110, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 7, 'label': '550.2.h.g', 'level': 550, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 47461915
{'hecke_orbit_code': 27022078834115110, 'n': 1, 'trace_an': 4}
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id: 47461916
{'hecke_orbit_code': 27022078834115110, 'n': 2, 'trace_an': 1}
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id: 47461917
{'hecke_orbit_code': 27022078834115110, 'n': 3, 'trace_an': 2}
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id: 47461918
{'hecke_orbit_code': 27022078834115110, 'n': 4, 'trace_an': -1}
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id: 47461919
{'hecke_orbit_code': 27022078834115110, 'n': 5, 'trace_an': 0}
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id: 47461920
{'hecke_orbit_code': 27022078834115110, 'n': 6, 'trace_an': 3}
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id: 47461921
{'hecke_orbit_code': 27022078834115110, 'n': 7, 'trace_an': 5}
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id: 47461922
{'hecke_orbit_code': 27022078834115110, 'n': 8, 'trace_an': 1}
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id: 47461923
{'hecke_orbit_code': 27022078834115110, 'n': 9, 'trace_an': -1}
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id: 47461924
{'hecke_orbit_code': 27022078834115110, 'n': 10, 'trace_an': 0}
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id: 47461925
{'hecke_orbit_code': 27022078834115110, 'n': 11, 'trace_an': 4}
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id: 47461926
{'hecke_orbit_code': 27022078834115110, 'n': 12, 'trace_an': 2}
-
id: 47461927
{'hecke_orbit_code': 27022078834115110, 'n': 13, 'trace_an': 3}
-
id: 47461928
{'hecke_orbit_code': 27022078834115110, 'n': 14, 'trace_an': -5}
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id: 47461929
{'hecke_orbit_code': 27022078834115110, 'n': 15, 'trace_an': 0}
-
id: 47461930
{'hecke_orbit_code': 27022078834115110, 'n': 16, 'trace_an': -1}
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id: 47461931
{'hecke_orbit_code': 27022078834115110, 'n': 17, 'trace_an': 1}
-
id: 47461932
{'hecke_orbit_code': 27022078834115110, 'n': 18, 'trace_an': -4}
-
id: 47461933
{'hecke_orbit_code': 27022078834115110, 'n': 19, 'trace_an': 1}
-
id: 47461934
{'hecke_orbit_code': 27022078834115110, 'n': 20, 'trace_an': 0}
-
id: 47461935
{'hecke_orbit_code': 27022078834115110, 'n': 21, 'trace_an': 10}
-
id: 47461936
{'hecke_orbit_code': 27022078834115110, 'n': 22, 'trace_an': 1}
-
id: 47461937
{'hecke_orbit_code': 27022078834115110, 'n': 23, 'trace_an': -2}
-
id: 47461938
{'hecke_orbit_code': 27022078834115110, 'n': 24, 'trace_an': 3}
-
id: 47461939
{'hecke_orbit_code': 27022078834115110, 'n': 25, 'trace_an': 0}
-
id: 47461940
{'hecke_orbit_code': 27022078834115110, 'n': 26, 'trace_an': 7}
-
id: 47461941
{'hecke_orbit_code': 27022078834115110, 'n': 27, 'trace_an': 11}
-
id: 47461942
{'hecke_orbit_code': 27022078834115110, 'n': 28, 'trace_an': -5}
-
id: 47461943
{'hecke_orbit_code': 27022078834115110, 'n': 29, 'trace_an': 15}
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id: 47461944
{'hecke_orbit_code': 27022078834115110, 'n': 30, 'trace_an': 0}
-
id: 47461945
{'hecke_orbit_code': 27022078834115110, 'n': 31, 'trace_an': 13}
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id: 47461946
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id: 47462145
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id: 47462146
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id: 47462150
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id: 47462152
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id: 47462154
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id: 47462155
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id: 47462156
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id: 47462158
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id: 47462160
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id: 47462161
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id: 47462162
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id: 47462163
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id: 47462166
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id: 47462169
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id: 47462170
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id: 47462171
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id: 47462172
{'hecke_orbit_code': 27022078834115110, 'n': 997, 'trace_an': -47}