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mf_newforms • Show schema
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{'Nk2': 30400, 'analytic_conductor': 60.686305536173094, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [19, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7600, 1, [4751, 5701, 5777, 401], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 1600, 'field_disc_factorization': [[2, 6], [5, 2]], 'field_poly': [4, 0, -6, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, 0, -6, 0, 1]], [7, [-8, 0, 1]], [11, [4, -6, 1]], [13, [484, 0, -46, 0, 1]]], 'hecke_orbit': 57, 'hecke_orbit_code': 252201579166309808, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7600.2.a.ce', 'level': 7600, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'minimal_twist': '380.2.c.a', 'nf_label': '4.4.1600.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{3}+(-\\beta _{1}-\\beta _{3})q^{7}+\\beta _{2}q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7600.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1355135682383697677, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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-0.24829593351900542, -0.2725776586717939], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.288245611270737, 'hecke_orbit': 57, 'hecke_orbit_code': 252201579166309808, 'label': '7600.2.a.ce.1.4', 'level': 7600, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [19, -1]], 22, 10], [[[2, -1], [5, -1], [19, -1]], 23, 7], [[[2, 1], [5, -1], [19, -1]], 19, 8], [[[2, 1], [5, -1], [19, 1]], 25, 6], [[[2, 1], [5, 1], [19, 1]], 19, 7], [[[2, -1], [5, -1], [19, 1]], 23, 8], [[[2, -1], [5, 1], [19, 1]], 20, 10], [[[2, -1], [5, 1], [19, -1]], 20, 10]], 'ALdims': [19, 22, 25, 19, 20, 20, 23, 23], 'Nk2': 30400, 'analytic_conductor': 60.686305536173094, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7600, 1, [4751, 5701, 5777, 401], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1165, 'dim': 171, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 13], 'hecke_orbit_code': 33562032, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6], 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mf_twists_cc • Show schema
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id: 49081276
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 252201579166309808, 'source_is_minimal': False, 'source_label': '7600.2.a.ce.1.4', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 252201579166309808, 'target_is_minimal': False, 'target_label': '7600.2.a.ce.1.4', 'target_level': 7600, 'twist_class_label': '380.2.c.a.229.1', 'twist_class_level': 380, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49081277
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 252201579166309808, 'source_is_minimal': False, 'source_label': '7600.2.a.ce.1.4', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679890796, 'target_is_minimal': False, 'target_label': '1900.2.a.j.1.1', 'target_level': 1900, 'twist_class_label': '380.2.c.a.229.1', 'twist_class_level': 380, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49081278
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 252201579166309808, 'source_is_minimal': False, 'source_label': '7600.2.a.ce.1.4', 'source_level': 7600, 'target_conrey_index': 609, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328838640, 'target_is_minimal': False, 'target_label': '1520.2.d.f.609.1', 'target_level': 1520, 'twist_class_label': '380.2.c.a.229.1', 'twist_class_level': 380, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49081279
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 252201579166309808, 'source_is_minimal': False, 'source_label': '7600.2.a.ce.1.4', 'source_level': 7600, 'target_conrey_index': 609, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518204328838640, 'target_is_minimal': False, 'target_label': '1520.2.d.f.609.4', 'target_level': 1520, 'twist_class_label': '380.2.c.a.229.1', 'twist_class_level': 380, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49081280
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 252201579166309808, 'source_is_minimal': False, 'source_label': '7600.2.a.ce.1.4', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 252201579166309808, 'target_is_minimal': False, 'target_label': '7600.2.a.ce.1.1', 'target_level': 7600, 'twist_class_label': '380.2.c.a.229.1', 'twist_class_level': 380, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49081281
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 252201579166309808, 'source_is_minimal': False, 'source_label': '7600.2.a.ce.1.4', 'source_level': 7600, 'target_conrey_index': 229, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472508284, 'target_is_minimal': True, 'target_label': '380.2.c.a.229.1', 'target_level': 380, 'twist_class_label': '380.2.c.a.229.1', 'twist_class_level': 380, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49081282
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 252201579166309808, 'source_is_minimal': False, 'source_label': '7600.2.a.ce.1.4', 'source_level': 7600, 'target_conrey_index': 229, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 137472508284, 'target_is_minimal': True, 'target_label': '380.2.c.a.229.4', 'target_level': 380, 'twist_class_label': '380.2.c.a.229.1', 'twist_class_level': 380, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 49081283
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 252201579166309808, 'source_is_minimal': False, 'source_label': '7600.2.a.ce.1.4', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532396679890796, 'target_is_minimal': False, 'target_label': '1900.2.a.j.1.4', 'target_level': 1900, 'twist_class_label': '380.2.c.a.229.1', 'twist_class_level': 380, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 49081284
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 252201579166309808, 'source_is_minimal': False, 'source_label': '7600.2.a.ce.1.4', 'source_level': 7600, 'target_conrey_index': 1369, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 343630941532, 'target_is_minimal': False, 'target_label': '3420.2.f.a.1369.3', 'target_level': 3420, 'twist_class_label': '380.2.c.a.229.1', 'twist_class_level': 380, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 49081285
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 252201579166309808, 'source_is_minimal': False, 'source_label': '7600.2.a.ce.1.4', 'source_level': 7600, 'target_conrey_index': 1369, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 343630941532, 'target_is_minimal': False, 'target_label': '3420.2.f.a.1369.4', 'target_level': 3420, 'twist_class_label': '380.2.c.a.229.1', 'twist_class_level': 380, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4521300
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 252201579166309808, 'p': 2}
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id: 4521301
{'charpoly_factorization': [[[4, 0, -6, 0, 1], 1]], 'hecke_orbit_code': 252201579166309808, 'p': 3}
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id: 4521302
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 252201579166309808, 'p': 5}
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id: 4521303
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 252201579166309808, 'p': 7}
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id: 4521304
{'charpoly_factorization': [[[4, -6, 1], 2]], 'hecke_orbit_code': 252201579166309808, 'p': 11}
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id: 4521305
{'charpoly_factorization': [[[484, 0, -46, 0, 1], 1]], 'hecke_orbit_code': 252201579166309808, 'p': 13}
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id: 4521306
{'charpoly_factorization': [[[64, 0, -56, 0, 1], 1]], 'hecke_orbit_code': 252201579166309808, 'p': 17}
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id: 4521307
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 252201579166309808, 'p': 19}
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id: 4521308
{'charpoly_factorization': [[[64, 0, -56, 0, 1], 1]], 'hecke_orbit_code': 252201579166309808, 'p': 23}
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id: 4521309
{'charpoly_factorization': [[[-20, 0, 1], 2]], 'hecke_orbit_code': 252201579166309808, 'p': 29}
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id: 4521310
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 252201579166309808, 'p': 31}
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id: 4521311
{'charpoly_factorization': [[[324, 0, -54, 0, 1], 1]], 'hecke_orbit_code': 252201579166309808, 'p': 37}
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id: 4521312
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 252201579166309808, 'p': 41}
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id: 4521313
{'charpoly_factorization': [[[-72, 0, 1], 2]], 'hecke_orbit_code': 252201579166309808, 'p': 43}
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id: 4521314
{'charpoly_factorization': [[[-72, 0, 1], 2]], 'hecke_orbit_code': 252201579166309808, 'p': 47}
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id: 4521315
{'charpoly_factorization': [[[324, 0, -54, 0, 1], 1]], 'hecke_orbit_code': 252201579166309808, 'p': 53}
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id: 4521316
{'charpoly_factorization': [[[16, -12, 1], 2]], 'hecke_orbit_code': 252201579166309808, 'p': 59}
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id: 4521317
{'charpoly_factorization': [[[-20, 10, 1], 2]], 'hecke_orbit_code': 252201579166309808, 'p': 61}
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id: 4521318
{'charpoly_factorization': [[[324, 0, -126, 0, 1], 1]], 'hecke_orbit_code': 252201579166309808, 'p': 67}
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id: 4521319
{'charpoly_factorization': [[[16, -12, 1], 2]], 'hecke_orbit_code': 252201579166309808, 'p': 71}
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id: 4521320
{'charpoly_factorization': [[[5184, 0, -216, 0, 1], 1]], 'hecke_orbit_code': 252201579166309808, 'p': 73}
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id: 4521321
{'charpoly_factorization': [[[-176, 4, 1], 2]], 'hecke_orbit_code': 252201579166309808, 'p': 79}
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id: 4521322
{'charpoly_factorization': [[[5184, 0, -216, 0, 1], 1]], 'hecke_orbit_code': 252201579166309808, 'p': 83}
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id: 4521323
{'charpoly_factorization': [[[-44, 12, 1], 2]], 'hecke_orbit_code': 252201579166309808, 'p': 89}
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id: 4521324
{'charpoly_factorization': [[[3844, 0, -214, 0, 1], 1]], 'hecke_orbit_code': 252201579166309808, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 57, 'label': '7600.2.a.ce', 'level': 7600, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 278850000
{'hecke_orbit_code': 252201579166309808, 'n': 1, 'trace_an': 4}
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id: 278850001
{'hecke_orbit_code': 252201579166309808, 'n': 2, 'trace_an': 0}
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id: 278850002
{'hecke_orbit_code': 252201579166309808, 'n': 3, 'trace_an': 0}
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id: 278850003
{'hecke_orbit_code': 252201579166309808, 'n': 4, 'trace_an': 0}
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id: 278850004
{'hecke_orbit_code': 252201579166309808, 'n': 5, 'trace_an': 0}
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id: 278850005
{'hecke_orbit_code': 252201579166309808, 'n': 6, 'trace_an': 0}
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id: 278850006
{'hecke_orbit_code': 252201579166309808, 'n': 7, 'trace_an': 0}
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id: 278850007
{'hecke_orbit_code': 252201579166309808, 'n': 8, 'trace_an': 0}
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id: 278850008
{'hecke_orbit_code': 252201579166309808, 'n': 9, 'trace_an': 0}
-
id: 278850009
{'hecke_orbit_code': 252201579166309808, 'n': 10, 'trace_an': 0}
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id: 278850010
{'hecke_orbit_code': 252201579166309808, 'n': 11, 'trace_an': 12}
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id: 278850011
{'hecke_orbit_code': 252201579166309808, 'n': 12, 'trace_an': 0}
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id: 278850012
{'hecke_orbit_code': 252201579166309808, 'n': 13, 'trace_an': 0}
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id: 278850013
{'hecke_orbit_code': 252201579166309808, 'n': 14, 'trace_an': 0}
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id: 278850014
{'hecke_orbit_code': 252201579166309808, 'n': 15, 'trace_an': 0}
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id: 278850015
{'hecke_orbit_code': 252201579166309808, 'n': 16, 'trace_an': 0}
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id: 278850016
{'hecke_orbit_code': 252201579166309808, 'n': 17, 'trace_an': 0}
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id: 278850017
{'hecke_orbit_code': 252201579166309808, 'n': 18, 'trace_an': 0}
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id: 278850018
{'hecke_orbit_code': 252201579166309808, 'n': 19, 'trace_an': 4}
-
id: 278850019
{'hecke_orbit_code': 252201579166309808, 'n': 20, 'trace_an': 0}
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id: 278850020
{'hecke_orbit_code': 252201579166309808, 'n': 21, 'trace_an': -8}
-
id: 278850021
{'hecke_orbit_code': 252201579166309808, 'n': 22, 'trace_an': 0}
-
id: 278850022
{'hecke_orbit_code': 252201579166309808, 'n': 23, 'trace_an': 0}
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id: 278850023
{'hecke_orbit_code': 252201579166309808, 'n': 24, 'trace_an': 0}
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