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{'Nk2': 30400, 'analytic_conductor': 60.686305536173094, 'analytic_rank': 1, '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, 'dim': 3, 'field_disc': 257, 'field_disc_factorization': [[257, 1]], 'field_poly': [3, -4, -1, 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': 0, 'hecke_cutters': [[3, [-1, -3, 2, 1]], [7, [-1, -3, 2, 1]], [11, [-15, -26, -1, 1]], [13, [3, -8, -1, 1]]], 'hecke_orbit': 36, 'hecke_orbit_code': 157625986991529392, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7600.2.a.bj', 'level': 7600, '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, 19], 'level_radical': 190, 'minimal_twist': '1900.2.a.f', 'nf_label': '3.3.257.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{3}+(-1+\\beta _{1})q^{7}+(1+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7600.2.a', 'trace_display': [0, -2, 0, -2], 'trace_hash': 1223353679468657354, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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'embedding_root_imag': 0.0, 'embedding_root_real': 0.7135379349683995, 'hecke_orbit': 36, 'hecke_orbit_code': 157625986991529392, 'label': '7600.2.a.bj.1.2', 'level': 7600, 'weight': 2}
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mf_newspaces • Show schema
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{'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], 'label': '7600.2.a', 'level': 7600, '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, 19], 'level_radical': 190, 'mf_dim': 1236, 'mf_new_dim': 171, 'num_forms': 66, 'plus_dim': 81, 'prim_orbit_index': 1, 'relative_dim': 171, 'sturm_bound': 2400, 'trace_bound': 13, 'trace_display': [0, 0, 0, -2], 'traces': [171, 0, 0, 0, 0, 0, -2, 0, 171, 0, -10, 0, 2, 0, 0, 0, -2, 0, -3, 0, 8, 0, -16, 0, 0, 0, -24, 0, 18, 0, 0, 0, 8, 0, 0, 0, 18, 0, -28, 0, -2, 0, 18, 0, 0, 0, -10, 0, 179, 0, -44, 0, 10, 0, 0, 0, 0, 0, 16, 0, 10, 0, -30, 0, 0, 0, -20, 0, -8, 0, -12, 0, -2, 0, 0, 0, -8, 0, -8, 0, 163, 0, -8, 0, 0, 0, 12, 0, -18, 0, -8, 0, 8, 0, 0, 0, -10, 0, -10, 0, 2, 0, -44, 0, 0, 0, 8, 0, -22, 0, 0, 0, 30, 0, 0, 0, 18, 0, 42, 0, 195, 0, 16, 0, 0, 0, 36, 0, 32, 0, -38, 0, 0, 0, 0, 0, 14, 0, 22, 0, 32, 0, -24, 0, 0, 0, -12, 0, -38, 0, -52, 0, 2, 0, 0, 0, -22, 0, 60, 0, -4, 0, -16, 0, 0, 0, -60, 0, 161, 0, -15, 0, 26, 0, 0, 0, -60, 0, -88, 0, -38, 0, 92, 0, 0, 0, -6, 0, 56, 0, -22, 0, -2, 0, 0, 0, 66, 0, -38, 0, -28, 0, 20, 0, 0, 0, -28, 0, 0, 0, -104, 0, 64, 0, 0, 0, 8, 0, 84, 0, -44, 0, 52, 0, 0, 0, 100, 0, -14, 0, -100, 0, -14, 0, 0, 0, -16, 0, -54, 0, 38, 0, -32, 0, 0, 0, -6, 0, -48, 0, 18, 0, 64, 0, 0, 0, -90, 0, -52, 0, 98, 0, 46, 0, 0, 0, -112, 0, 2, 0, -44, 0, 28, 0, 0, 0, 18, 0, 208, 0, -2, 0, -30, 0, 0, 0, 20, 0, 193, 0, 200, 0, -6, 0, 0, 0, 32, 0, 8, 0, 16, 0, 104, 0, 0, 0, 4, 0, 8, 0, 198, 0, 10, 0, 0, 0, 2, 0, -84, 0, -4, 0, 12, 0, 0, 0, -84, 0, -76, 0, -76, 0, 42, 0, 0, 0, -10, 0, 216, 0, -32, 0, -130, 0, 0, 0, 86, 0, 114, 0, -84, 0, -30, 0, 0, 0, 40, 0, 74, 0, 171, 0, 52, 0, 0, 0, 84, 0, -42, 0, -88, 0, 90, 0, 0, 0, 32, 0, -88, 0, -48, 0, 144, 0, 0, 0, 90, 0, -102, 0, -68, 0, 32, 0, 0, 0, 34, 0, 16, 0, -26, 0, -40, 0, 0, 0, 28, 0, -26, 0, 180, 0, 104, 0, 0, 0, 16, 0, 212, 0, 58, 0, -26, 0, 0, 0, -34, 0, 24, 0, -48, 0, -10, 0, 0, 0, 0, 0, -164, 0, 135, 0, 86, 0, 0, 0, 92, 0, 118, 0, 68, 0, -8, 0, 0, 0, -2, 0, -48, 0, -54, 0, -26, 0, 0, 0, 70, 0, 40, 0, 224, 0, 4, 0, 0, 0, -22, 0, 248, 0, -4, 0, 80, 0, 0, 0, -92, 0, 8, 0, 148, 0, -20, 0, 0, 0, -16, 0, -70, 0, -224, 0, 88, 0, 0, 0, -152, 0, -118, 0, 146, 0, -12, 0, 0, 0, -8, 0, -216, 0, 46, 0, 64, 0, 0, 0, 0, 0, 159, 0, 288, 0, 36, 0, 0, 0, 32, 0, -8, 0, 10, 0, 120, 0, 0, 0, 28, 0, -94, 0, 26, 0, -56, 0, 0, 0, -94, 0, 40, 0, -8, 0, -136, 0, 0, 0, 70, 0, 14, 0, -260, 0, 72, 0, 0, 0, -66, 0, -160, 0, -168, 0, -120, 0, 0, 0, 110, 0, -8, 0, -152, 0, -10, 0, 0, 0, -152, 0, 88, 0, -202, 0, -76, 0, 0, 0, -48, 0, -292, 0, -48, 0, -46, 0, 0, 0, 18, 0, 116, 0, -56, 0, 56, 0, 0, 0, 12, 0, 28, 0, -18, 0, -92, 0, 0, 0, -86, 0, -156, 0, -98, 0, -38, 0, 0, 0, 38, 0, -168, 0, -56, 0, 50, 0, 0, 0, 106, 0, 16, 0, -166, 0, -92, 0, 0, 0, -184, 0, -216, 0, 322, 0, -106, 0, 0, 0, 58, 0, -152, 0, -220, 0, -92, 0, 0, 0, -28, 0, 8, 0, -70, 0, 96, 0, 0, 0, -92, 0, 28, 0, 58, 0, -14, 0, 0, 0, 100, 0, 162, 0, 120, 0, -72, 0, 0, 0, -8, 0, -174, 0, -200, 0, 304, 0, 0, 0, -102, 0, 63, 0, 202, 0, -158, 0, 0, 0, 16, 0, -146, 0, -32, 0, -144, 0, 0, 0, -320, 0, 24, 0, 104, 0, -48, 0, 0, 0, -78, 0, 384, 0, 70, 0, -136, 0, 0, 0, -108, 0, -170, 0, -96, 0, -86, 0, 0, 0, 24, 0, -30, 0, 80, 0, 84, 0, 0, 0, -20, 0, -224, 0, -84, 0, -108, 0, 0, 0, -126, 0, -38, 0, 46, 0, 66, 0, 0, 0, 32, 0, 54, 0, -36, 0, -8, 0, 0, 0, 16, 0, 216, 0, 74, 0, -234, 0, 0, 0, -260, 0, 74, 0, -276, 0, 110, 0, 0, 0, -120, 0, 132, 0, 233, 0, 144, 0, 0, 0, -68, 0, -88, 0, 240, 0, 90, 0, 0, 0, 30, 0, -34, 0, -288, 0, -52, 0, 0, 0, 276, 0, 64, 0, -20, 0, -26, 0, 0, 0, 50, 0, 580, 0, -126, 0, -110, 0, 0, 0, 180, 0, -144, 0, 342, 0, -8, 0, 0, 0, 140, 0, -128, 0, -220, 0, -364, 0, 0, 0, -140, 0, -286, 0, 380, 0, -128, 0, 0, 0, -72, 0, 44, 0, 16, 0, -96, 0, 0, 0, -68, 0, -86, 0, -21, 0, -88, 0, 0, 0, 6, 0, 456, 0, -262, 0, 264, 0, 0, 0, 48, 0, -124, 0, 604, 0, -42, 0, 0, 0, -168, 0, 226, 0, 139, 0, 160, 0, 0, 0, -92, 0, 12, 0, -20, 0, -80, 0, 0, 0, 166, 0, -192, 0, -326, 0, 112, 0, 0, 0, 140, 0, 32, 0, -556, 0, 12, 0, 0, 0, -46, 0, 64, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48855503
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 157625986991529392, 'source_is_minimal': False, 'source_label': '7600.2.a.bj.1.2', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 157625986991529392, 'target_is_minimal': False, 'target_label': '7600.2.a.bj.1.2', 'target_level': 7600, 'twist_class_label': '1900.2.a.f.1.2', 'twist_class_level': 1900, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48855504
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 157625986991529392, 'source_is_minimal': False, 'source_label': '7600.2.a.bj.1.2', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197425149804, 'target_is_minimal': True, 'target_label': '1900.2.a.h.1.2', 'target_level': 1900, 'twist_class_label': '1900.2.a.f.1.2', 'twist_class_level': 1900, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48855505
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 157625986991529392, 'source_is_minimal': False, 'source_label': '7600.2.a.bj.1.2', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 225179981402086832, 'target_is_minimal': False, 'target_label': '7600.2.a.by.1.2', 'target_level': 7600, 'twist_class_label': '1900.2.a.f.1.2', 'twist_class_level': 1900, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48855506
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 157625986991529392, 'source_is_minimal': False, 'source_label': '7600.2.a.bj.1.2', 'source_level': 7600, 'target_conrey_index': 1749, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021735236732780, 'target_is_minimal': False, 'target_label': '1900.2.c.g.1749.4', 'target_level': 1900, 'twist_class_label': '1900.2.a.f.1.2', 'twist_class_level': 1900, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48855507
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 157625986991529392, 'source_is_minimal': False, 'source_label': '7600.2.a.bj.1.2', 'source_level': 7600, 'target_conrey_index': 1749, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021735236732780, 'target_is_minimal': False, 'target_label': '1900.2.c.g.1749.3', 'target_level': 1900, 'twist_class_label': '1900.2.a.f.1.2', 'twist_class_level': 1900, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48855508
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 157625986991529392, 'source_is_minimal': False, 'source_label': '7600.2.a.bj.1.2', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170408812, 'target_is_minimal': True, 'target_label': '1900.2.a.f.1.2', 'target_level': 1900, 'twist_class_label': '1900.2.a.f.1.2', 'twist_class_level': 1900, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4519100
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 157625986991529392, 'p': 2}
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id: 4519101
{'charpoly_factorization': [[[-1, -3, 2, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 3}
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id: 4519102
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 157625986991529392, 'p': 5}
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id: 4519103
{'charpoly_factorization': [[[-1, -3, 2, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 7}
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id: 4519104
{'charpoly_factorization': [[[-15, -26, -1, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 11}
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id: 4519105
{'charpoly_factorization': [[[3, -8, -1, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 13}
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id: 4519106
{'charpoly_factorization': [[[1, -3, -2, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 17}
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id: 4519107
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 157625986991529392, 'p': 19}
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id: 4519108
{'charpoly_factorization': [[[-9, -3, 8, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 23}
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id: 4519109
{'charpoly_factorization': [[[-25, -10, 7, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 29}
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id: 4519110
{'charpoly_factorization': [[[-241, -6, 11, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 31}
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id: 4519111
{'charpoly_factorization': [[[-405, -72, 5, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 37}
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id: 4519112
{'charpoly_factorization': [[[-25, 36, -13, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 41}
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id: 4519113
{'charpoly_factorization': [[[-27, 23, 11, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 43}
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id: 4519114
{'charpoly_factorization': [[[-63, 68, 19, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 47}
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id: 4519115
{'charpoly_factorization': [[[27, 23, -11, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 53}
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id: 4519116
{'charpoly_factorization': [[[856, -176, -6, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 59}
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id: 4519117
{'charpoly_factorization': [[[-25, -30, -7, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 61}
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id: 4519118
{'charpoly_factorization': [[[-599, -128, 3, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 67}
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id: 4519119
{'charpoly_factorization': [[[-123, -73, -5, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 71}
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id: 4519120
{'charpoly_factorization': [[[27, -18, -9, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 73}
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id: 4519121
{'charpoly_factorization': [[[607, 1, -18, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 79}
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id: 4519122
{'charpoly_factorization': [[[-749, -248, 3, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 83}
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id: 4519123
{'charpoly_factorization': [[[-857, -183, 0, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 89}
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id: 4519124
{'charpoly_factorization': [[[-81, -72, 3, 1], 1]], 'hecke_orbit_code': 157625986991529392, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 36, 'label': '7600.2.a.bj', '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: 69800071
{'hecke_orbit_code': 157625986991529392, 'n': 1, 'trace_an': 3}
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id: 69800072
{'hecke_orbit_code': 157625986991529392, 'n': 2, 'trace_an': 0}
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id: 69800073
{'hecke_orbit_code': 157625986991529392, 'n': 3, 'trace_an': -2}
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id: 69800074
{'hecke_orbit_code': 157625986991529392, 'n': 4, 'trace_an': 0}
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id: 69800075
{'hecke_orbit_code': 157625986991529392, 'n': 5, 'trace_an': 0}
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id: 69800076
{'hecke_orbit_code': 157625986991529392, 'n': 6, 'trace_an': 0}
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id: 69800077
{'hecke_orbit_code': 157625986991529392, 'n': 7, 'trace_an': -2}
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id: 69800078
{'hecke_orbit_code': 157625986991529392, 'n': 8, 'trace_an': 0}
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id: 69800079
{'hecke_orbit_code': 157625986991529392, 'n': 9, 'trace_an': 1}
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id: 69800080
{'hecke_orbit_code': 157625986991529392, 'n': 10, 'trace_an': 0}
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id: 69800081
{'hecke_orbit_code': 157625986991529392, 'n': 11, 'trace_an': 1}
-
id: 69800082
{'hecke_orbit_code': 157625986991529392, 'n': 12, 'trace_an': 0}
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id: 69800083
{'hecke_orbit_code': 157625986991529392, 'n': 13, 'trace_an': 1}
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id: 69800084
{'hecke_orbit_code': 157625986991529392, 'n': 14, 'trace_an': 0}
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id: 69800085
{'hecke_orbit_code': 157625986991529392, 'n': 15, 'trace_an': 0}
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id: 69800086
{'hecke_orbit_code': 157625986991529392, 'n': 16, 'trace_an': 0}
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id: 69800087
{'hecke_orbit_code': 157625986991529392, 'n': 17, 'trace_an': 2}
-
id: 69800088
{'hecke_orbit_code': 157625986991529392, 'n': 18, 'trace_an': 0}
-
id: 69800089
{'hecke_orbit_code': 157625986991529392, 'n': 19, 'trace_an': 3}
-
id: 69800090
{'hecke_orbit_code': 157625986991529392, 'n': 20, 'trace_an': 0}
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