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{'Nk2': 33800, 'analytic_conductor': 67.47358970798193, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, -1], [13, -1]], 'atkin_lehner_string': '+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8450, 1, [677, 3551], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 17424, 'field_disc_factorization': [[2, 4], [3, 2], [11, 2]], 'field_poly': [4, 0, -7, 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, -7, 0, 1]], [7, [-8, 1, 1]], [11, [64, 0, -28, 0, 1]], [17, [256, 0, -43, 0, 1]], [31, [-12, 0, 1]]], 'hecke_orbit': 62, 'hecke_orbit_code': 274719577303163138, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 65, 4, 1, 2, 0]], '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': '8450.2.a.cj', 'level': 8450, '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, 13], 'level_radical': 130, 'minimal_twist': '130.2.c.a', 'nf_label': '4.4.17424.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+\\beta _{1}q^{3}+q^{4}-\\beta _{1}q^{6}+\\beta _{2}q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8450.2.a', 'trace_display': [-4, 0, 0, -2], 'trace_hash': 1302954988842732815, 'trace_moments': [{'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [24, 33, 34, 31, 35, 24, 27, 37], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [20, 21, 21, 21, 21, 21, 21, 21], 'ALdims_old': [129, 134, 132, 123, 128, 133, 129, 128], 'Nk2': 33800, 'analytic_conductor': 67.47358970798193, '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': [8450, 1, [677, 3551], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1281, 'dim': 245, 'eis_dim': 167, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 17, 31], 'hecke_orbit_code': 33562882, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 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, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], 'label': '8450.2.a', 'level': 8450, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 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-460, -464, 0, 0, 0, -88, 64, 0, -38, -56, 112, -56, 0, -32, 46, -20, -692, 0, -236, -8, -232, 190, 0, -42, 52, 28, -232, 0, -230, -52, 0, -84, 0, -320, -376, 2, -134, 0, -18, -132, -96, 124, 0, 0, -18, 44, -80, 0, -130, 16, -16, 36, 0, 104, -48, 120, 0, 0, -176, -32, -24, -230, 0, -16, -32, 8, -324, 0, 309, 0, 164, -112, 0, -320, 16, -75, 66, 0, -384, 34, 116, -4, 0, -16, -66, 80, 18, 0, -150, 48, -80, 74, 0, -216, -52, 0, -392, 0, 120, 0, -36, 104, 0, -70, 88, 38, -204, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1392286
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8450.2.a.cj', 'source_level': 8450, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '130.2.c.a', 'target_level': 130, 'twist_class_label': '130.2.c.a', 'twist_class_level': 130, 'twisting_char_label': '65.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1392287
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8450.2.a.cj', 'source_level': 8450, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '130.2.c.b', 'target_level': 130, 'twist_class_label': '130.2.c.a', 'twist_class_level': 130, 'twisting_char_label': '65.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1392288
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8450.2.a.cj', 'source_level': 8450, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '650.2.d.e', 'target_level': 650, 'twist_class_label': '130.2.c.a', 'twist_class_level': 130, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1392289
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8450.2.a.cj', 'source_level': 8450, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '650.2.d.e', 'target_level': 650, 'twist_class_label': '130.2.c.a', 'twist_class_level': 130, 'twisting_char_label': '65.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1392290
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8450.2.a.cj', 'source_level': 8450, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1040.2.f.c', 'target_level': 1040, 'twist_class_label': '130.2.c.a', 'twist_class_level': 130, 'twisting_char_label': '260.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1392291
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8450.2.a.cj', 'source_level': 8450, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1040.2.f.d', 'target_level': 1040, 'twist_class_label': '130.2.c.a', 'twist_class_level': 130, 'twisting_char_label': '260.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1392292
{'conductor': 195, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8450.2.a.cj', 'source_level': 8450, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1170.2.f.a', 'target_level': 1170, 'twist_class_label': '130.2.c.a', 'twist_class_level': 130, 'twisting_char_label': '195.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 1392293
{'conductor': 195, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8450.2.a.cj', 'source_level': 8450, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1170.2.f.b', 'target_level': 1170, 'twist_class_label': '130.2.c.a', 'twist_class_level': 130, 'twisting_char_label': '195.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1392294
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8450.2.a.cj', 'source_level': 8450, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1690.2.b.d', 'target_level': 1690, 'twist_class_label': '130.2.c.a', 'twist_class_level': 130, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1392295
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8450.2.a.cj', 'source_level': 8450, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1690.2.b.d', 'target_level': 1690, 'twist_class_label': '130.2.c.a', 'twist_class_level': 130, 'twisting_char_label': '65.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1392296
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8450.2.a.cj', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 62, 'target_is_minimal': False, 'target_label': '8450.2.a.cj', 'target_level': 8450, 'twist_class_label': '130.2.c.a', 'twist_class_level': 130, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1392297
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8450.2.a.cj', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 62, 'target_is_minimal': False, 'target_label': '8450.2.a.cj', 'target_level': 8450, 'twist_class_label': '130.2.c.a', 'twist_class_level': 130, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1392298
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8450.2.a.cj', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 66, 'target_is_minimal': False, 'target_label': '8450.2.a.cn', 'target_level': 8450, 'twist_class_label': '130.2.c.a', 'twist_class_level': 130, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1392299
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8450.2.a.cj', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 66, 'target_is_minimal': False, 'target_label': '8450.2.a.cn', 'target_level': 8450, 'twist_class_label': '130.2.c.a', 'twist_class_level': 130, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4758500
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 274719577303163138, 'p': 2}
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id: 4758501
{'charpoly_factorization': [[[4, 0, -7, 0, 1], 1]], 'hecke_orbit_code': 274719577303163138, 'p': 3}
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id: 4758502
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 274719577303163138, 'p': 5}
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id: 4758503
{'charpoly_factorization': [[[-8, 1, 1], 2]], 'hecke_orbit_code': 274719577303163138, 'p': 7}
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id: 4758504
{'charpoly_factorization': [[[64, 0, -28, 0, 1], 1]], 'hecke_orbit_code': 274719577303163138, 'p': 11}
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id: 4758505
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 274719577303163138, 'p': 13}
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id: 4758506
{'charpoly_factorization': [[[256, 0, -43, 0, 1], 1]], 'hecke_orbit_code': 274719577303163138, 'p': 17}
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id: 4758507
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 274719577303163138, 'p': 19}
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id: 4758508
{'charpoly_factorization': [[[-44, 0, 1], 2]], 'hecke_orbit_code': 274719577303163138, 'p': 23}
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id: 4758509
{'charpoly_factorization': [[[-24, -6, 1], 2]], 'hecke_orbit_code': 274719577303163138, 'p': 29}
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id: 4758510
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 274719577303163138, 'p': 31}
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id: 4758511
{'charpoly_factorization': [[[-74, 1, 1], 2]], 'hecke_orbit_code': 274719577303163138, 'p': 37}
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id: 4758512
{'charpoly_factorization': [[[1024, 0, -112, 0, 1], 1]], 'hecke_orbit_code': 274719577303163138, 'p': 41}
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id: 4758513
{'charpoly_factorization': [[[36, 0, -87, 0, 1], 1]], 'hecke_orbit_code': 274719577303163138, 'p': 43}
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id: 4758514
{'charpoly_factorization': [[[48, 15, 1], 2]], 'hecke_orbit_code': 274719577303163138, 'p': 47}
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id: 4758515
{'charpoly_factorization': [[[64, 0, -28, 0, 1], 1]], 'hecke_orbit_code': 274719577303163138, 'p': 53}
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id: 4758516
{'charpoly_factorization': [[[-44, 0, 1], 2]], 'hecke_orbit_code': 274719577303163138, 'p': 59}
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id: 4758517
{'charpoly_factorization': [[[-32, 2, 1], 2]], 'hecke_orbit_code': 274719577303163138, 'p': 61}
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id: 4758518
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 274719577303163138, 'p': 67}
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id: 4758519
{'charpoly_factorization': [[[2500, 0, -175, 0, 1], 1]], 'hecke_orbit_code': 274719577303163138, 'p': 71}
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id: 4758520
{'charpoly_factorization': [[[10, 1], 4]], 'hecke_orbit_code': 274719577303163138, 'p': 73}
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id: 4758521
{'charpoly_factorization': [[[-32, -2, 1], 2]], 'hecke_orbit_code': 274719577303163138, 'p': 79}
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id: 4758522
{'charpoly_factorization': [[[-24, -6, 1], 2]], 'hecke_orbit_code': 274719577303163138, 'p': 83}
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id: 4758523
{'charpoly_factorization': [[[256, 0, -76, 0, 1], 1]], 'hecke_orbit_code': 274719577303163138, 'p': 89}
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id: 4758524
{'charpoly_factorization': [[[-32, 2, 1], 2]], 'hecke_orbit_code': 274719577303163138, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 62, 'label': '8450.2.a.cj', 'level': 8450, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72141163
{'hecke_orbit_code': 274719577303163138, 'n': 1, 'trace_an': 4}
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id: 72141164
{'hecke_orbit_code': 274719577303163138, 'n': 2, 'trace_an': -4}
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id: 72141165
{'hecke_orbit_code': 274719577303163138, 'n': 3, 'trace_an': 0}
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id: 72141166
{'hecke_orbit_code': 274719577303163138, 'n': 4, 'trace_an': 4}
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id: 72141167
{'hecke_orbit_code': 274719577303163138, 'n': 5, 'trace_an': 0}
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id: 72141168
{'hecke_orbit_code': 274719577303163138, 'n': 6, 'trace_an': 0}
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id: 72141169
{'hecke_orbit_code': 274719577303163138, 'n': 7, 'trace_an': -2}
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id: 72141170
{'hecke_orbit_code': 274719577303163138, 'n': 8, 'trace_an': -4}
-
id: 72141171
{'hecke_orbit_code': 274719577303163138, 'n': 9, 'trace_an': 2}
-
id: 72141172
{'hecke_orbit_code': 274719577303163138, 'n': 10, 'trace_an': 0}
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id: 72141173
{'hecke_orbit_code': 274719577303163138, 'n': 11, 'trace_an': 0}
-
id: 72141174
{'hecke_orbit_code': 274719577303163138, 'n': 12, 'trace_an': 0}
-
id: 72141175
{'hecke_orbit_code': 274719577303163138, 'n': 13, 'trace_an': 0}
-
id: 72141176
{'hecke_orbit_code': 274719577303163138, 'n': 14, 'trace_an': 2}
-
id: 72141177
{'hecke_orbit_code': 274719577303163138, 'n': 15, 'trace_an': 0}
-
id: 72141178
{'hecke_orbit_code': 274719577303163138, 'n': 16, 'trace_an': 4}
-
id: 72141179
{'hecke_orbit_code': 274719577303163138, 'n': 17, 'trace_an': 0}
-
id: 72141180
{'hecke_orbit_code': 274719577303163138, 'n': 18, 'trace_an': -2}
-
id: 72141181
{'hecke_orbit_code': 274719577303163138, 'n': 19, 'trace_an': 0}
-
id: 72141182
{'hecke_orbit_code': 274719577303163138, 'n': 20, 'trace_an': 0}
-
id: 72141183
{'hecke_orbit_code': 274719577303163138, 'n': 21, 'trace_an': 0}
-
id: 72141184
{'hecke_orbit_code': 274719577303163138, 'n': 22, 'trace_an': 0}
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id: 72141185
{'hecke_orbit_code': 274719577303163138, 'n': 23, 'trace_an': 0}
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