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{'Nk2': 12800, 'analytic_conductor': 25.552128646809724, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, -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': [3200, 1, [1151, 901, 2177], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-1, -2, 1]], [7, [-4, -4, 1]], [11, [-17, 2, 1]], [13, [-32, 0, 1]]], 'hecke_orbit': 39, 'hecke_orbit_code': 171136785873636480, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '3200.2.a.bm', 'level': 3200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '3200.2.a.bc', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta )q^{3}+(2-2\\beta )q^{7}+2\\beta q^{9}+(-1+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3200.2.a', 'trace_display': [0, 2, 0, 4], 'trace_hash': 1679889839503871586, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.934', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [1, 1], [0, 0], [0, 0], [0, 0], [2, -2], [0, 0], [0, 2], [0, 0], [-1, -3], [0, 0], [0, 4], [0, 0], [0, 0], [0, 0], [3, -2], [0, 0], [-3, 1], [0, 0], [-2, 0], [0, 0], [2, 2], [0, 0], [0, 0], [0, 0], [1, -1], [0, 0], [8, 0], [0, 0], [2, -2], [0, 0], [-7, -4], [0, 0], [0, 0], [0, 0], [2, 4], [0, 0], [8, 4], [0, 0], [5, 4], [0, 0], [10, 0], [0, 0], [0, 0], [0, 0], [4, 4], [0, 0], [5, -8], [0, 0], [-1, 1], [0, 0], [-2, -4], [0, 0], [0, 0], [0, 0], [-1, -2], [0, 0], [-2, 4], [0, 0], [6, 0], [0, 0], [-8, 4], [0, 0], [0, 0], [0, 0], [-7, 3], [0, 0], [6, 4], [0, 0], [-4, -4], [0, 0], [-3, -2], [0, 0], [0, 0], [0, 0], [10, -4], [0, 0], [10, 2], [0, 0], [-1, -6], [0, 0], [-3, 3], [0, 0], [0, 0], [0, 0], [8, 8], [0, 0], [9, -2], [0, 0], [-16, 8], [0, 0], [-2, 0], [0, 0], [0, 0], [0, 0], [6, 8], [0, 0], [-12, -2], [0, 0]], 'ap': [[0, 0], [1, 1], [0, 0], [2, -2], [-1, -3], [0, 4], [3, -2], [-3, 1], [2, 2], [8, 0], [2, -2], [2, 4], [5, 4], [10, 0], [4, 4], [-2, -4], [-2, 4], 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-24], [41, 3], [15, -24], [-8, 16], [-33, -1], [6, 0], [-39, 2], [66, 8], [-22, 10], [18, -10], [47, 22], [58, 10], [-88, 0], [6, 52], [-34, 22], [79, -1], [-27, -4], [-68, -12], [10, -4], [21, 22], [27, 33], [-54, 10]], 'char_orbit_index': 1, 'field_poly': [-2, 0, 1], 'hecke_orbit_code': 171136785873636480, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '3200.2.a.bm', 'level': 3200, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1]], 15, 13], [[[2, -1], [5, -1]], 18, 9], [[[2, 1], [5, -1]], 22, 11], [[[2, -1], [5, 1]], 21, 15]], 'ALdims': [15, 22, 21, 18], 'Nk2': 12800, 'analytic_conductor': 25.552128646809724, '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': [3200, 1, [1151, 901, 2177], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 433, 'dim': 76, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 13], 'hecke_orbit_code': 33557632, '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, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3], 'label': '3200.2.a', 'level': 3200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 528, 'mf_new_dim': 76, 'num_forms': 48, 'plus_dim': 33, 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mf_twists_nf • Show schema
Hide schema
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id: 1063535
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 39, 'source_is_minimal': True, 'source_label': '3200.2.a.bm', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 29, 'target_is_minimal': True, 'target_label': '3200.2.a.bc', 'target_level': 3200, 'twist_class_label': '3200.2.a.bc', 'twist_class_level': 3200, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1063536
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 39, 'source_is_minimal': True, 'source_label': '3200.2.a.bm', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 30, 'target_is_minimal': True, 'target_label': '3200.2.a.bd', 'target_level': 3200, 'twist_class_label': '3200.2.a.bc', 'twist_class_level': 3200, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1063537
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 39, 'source_is_minimal': True, 'source_label': '3200.2.a.bm', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': True, 'target_label': '3200.2.a.bg', 'target_level': 3200, 'twist_class_label': '3200.2.a.bc', 'twist_class_level': 3200, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1063538
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 39, 'source_is_minimal': True, 'source_label': '3200.2.a.bm', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': True, 'target_label': '3200.2.a.bh', 'target_level': 3200, 'twist_class_label': '3200.2.a.bc', 'twist_class_level': 3200, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1063539
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 39, 'source_is_minimal': True, 'source_label': '3200.2.a.bm', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': True, 'target_label': '3200.2.a.bi', 'target_level': 3200, 'twist_class_label': '3200.2.a.bc', 'twist_class_level': 3200, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1063540
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 39, 'source_is_minimal': True, 'source_label': '3200.2.a.bm', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 36, 'target_is_minimal': True, 'target_label': '3200.2.a.bj', 'target_level': 3200, 'twist_class_label': '3200.2.a.bc', 'twist_class_level': 3200, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1063541
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 39, 'source_is_minimal': True, 'source_label': '3200.2.a.bm', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 39, 'target_is_minimal': True, 'target_label': '3200.2.a.bm', 'target_level': 3200, 'twist_class_label': '3200.2.a.bc', 'twist_class_level': 3200, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1063542
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 39, 'source_is_minimal': True, 'source_label': '3200.2.a.bm', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 40, 'target_is_minimal': True, 'target_label': '3200.2.a.bn', 'target_level': 3200, 'twist_class_label': '3200.2.a.bc', 'twist_class_level': 3200, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1063543
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 39, 'source_is_minimal': True, 'source_label': '3200.2.a.bm', 'source_level': 3200, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '3200.2.c.y', 'target_level': 3200, 'twist_class_label': '3200.2.a.bc', 'twist_class_level': 3200, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1063544
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 39, 'source_is_minimal': True, 'source_label': '3200.2.a.bm', 'source_level': 3200, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '3200.2.c.z', 'target_level': 3200, 'twist_class_label': '3200.2.a.bc', 'twist_class_level': 3200, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1063545
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 39, 'source_is_minimal': True, 'source_label': '3200.2.a.bm', 'source_level': 3200, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '3200.2.c.ba', 'target_level': 3200, 'twist_class_label': '3200.2.a.bc', 'twist_class_level': 3200, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1063546
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 39, 'source_is_minimal': True, 'source_label': '3200.2.a.bm', 'source_level': 3200, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '3200.2.c.bb', 'target_level': 3200, 'twist_class_label': '3200.2.a.bc', 'twist_class_level': 3200, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3056700
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 171136785873636480, 'p': 2}
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id: 3056701
{'charpoly_factorization': [[[-1, -2, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 3}
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id: 3056702
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 171136785873636480, 'p': 5}
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id: 3056703
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 7}
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id: 3056704
{'charpoly_factorization': [[[-17, 2, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 11}
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id: 3056705
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 13}
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id: 3056706
{'charpoly_factorization': [[[1, -6, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 17}
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id: 3056707
{'charpoly_factorization': [[[7, 6, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 19}
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id: 3056708
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 23}
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id: 3056709
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 171136785873636480, 'p': 29}
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id: 3056710
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 31}
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id: 3056711
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 37}
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id: 3056712
{'charpoly_factorization': [[[-7, -10, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 41}
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id: 3056713
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 171136785873636480, 'p': 43}
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id: 3056714
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 47}
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id: 3056715
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 53}
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id: 3056716
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 59}
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id: 3056717
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 171136785873636480, 'p': 61}
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id: 3056718
{'charpoly_factorization': [[[31, 14, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 67}
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id: 3056719
{'charpoly_factorization': [[[-16, 8, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 71}
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id: 3056720
{'charpoly_factorization': [[[1, 6, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 73}
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id: 3056721
{'charpoly_factorization': [[[92, -20, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 79}
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id: 3056722
{'charpoly_factorization': [[[-9, 6, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 83}
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id: 3056723
{'charpoly_factorization': [[[73, -18, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 89}
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id: 3056724
{'charpoly_factorization': [[[-92, -12, 1], 1]], 'hecke_orbit_code': 171136785873636480, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 39, 'label': '3200.2.a.bm', 'level': 3200, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 272255000
{'hecke_orbit_code': 171136785873636480, 'n': 1, 'trace_an': 2}
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id: 272255001
{'hecke_orbit_code': 171136785873636480, 'n': 2, 'trace_an': 0}
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id: 272255002
{'hecke_orbit_code': 171136785873636480, 'n': 3, 'trace_an': 2}
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id: 272255003
{'hecke_orbit_code': 171136785873636480, 'n': 4, 'trace_an': 0}
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id: 272255004
{'hecke_orbit_code': 171136785873636480, 'n': 5, 'trace_an': 0}
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id: 272255005
{'hecke_orbit_code': 171136785873636480, 'n': 6, 'trace_an': 0}
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id: 272255006
{'hecke_orbit_code': 171136785873636480, 'n': 7, 'trace_an': 4}
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id: 272255007
{'hecke_orbit_code': 171136785873636480, 'n': 8, 'trace_an': 0}
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id: 272255008
{'hecke_orbit_code': 171136785873636480, 'n': 9, 'trace_an': 0}
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id: 272255009
{'hecke_orbit_code': 171136785873636480, 'n': 10, 'trace_an': 0}
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id: 272255010
{'hecke_orbit_code': 171136785873636480, 'n': 11, 'trace_an': -2}
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id: 272255011
{'hecke_orbit_code': 171136785873636480, 'n': 12, 'trace_an': 0}
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id: 272255012
{'hecke_orbit_code': 171136785873636480, 'n': 13, 'trace_an': 0}
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id: 272255013
{'hecke_orbit_code': 171136785873636480, 'n': 14, 'trace_an': 0}
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id: 272255014
{'hecke_orbit_code': 171136785873636480, 'n': 15, 'trace_an': 0}
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id: 272255015
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