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{'Nk2': 12480, 'analytic_conductor': 24.91332543063948, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [13, 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': [3120, 1, [1951, 2341, 2081, 2497, 2641], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 41, 'field_disc_factorization': [[41, 1]], 'field_poly': [-10, -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': [[7, [-10, -1, 1]], [11, [-4, -5, 1]], [17, [-4, -5, 1]], [19, [-2, 1]], [31, [-32, -6, 1]]], 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482042928, 'hecke_ring_generator_nbound': 7, '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': False, 'label': '3120.2.a.bf', 'level': 3120, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '1560.2.a.m', 'nf_label': '2.2.41.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}+\\beta q^{7}+q^{9}+(2+\\beta )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': '3120.2.a', 'trace_display': [0, 2, -2, 1], 'trace_hash': 125396512674745995, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.026', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.958', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.208', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.407', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.982', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.415', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, 'traces': [2, 0, 2, 0, -2, 0, 1, 0, 2, 0, 5, 0, -2, 0, -2, 0, 5, 0, 4, 0, 1, 0, -7, 0, 2, 0, 2, 0, 6, 0, 6, 0, 5, 0, -1, 0, -7, 0, -2, 0, 15, 0, -8, 0, -2, 0, -10, 0, 7, 0, 5, 0, 15, 0, -5, 0, 4, 0, 4, 0, -1, 0, 1, 0, 2, 0, 8, 0, -7, 0, 1, 0, 14, 0, 2, 0, 23, 0, -3, 0, 2, 0, -8, 0, -5, 0, 6, 0, -3, 0, -1, 0, 6, 0, -4, 0, 17, 0, 5, 0, 12, 0, -24, 0, -1, 0, -17, 0, -4, 0, -7, 0, 26, 0, 7, 0, -2, 0, 23, 0, 11, 0, 15, 0, -2, 0, 14, 0, -8, 0, 0, 0, 2, 0, -2, 0, 36, 0, 3, 0, -10, 0, -5, 0, -6, 0, 7, 0, 9, 0, 0, 0, 5, 0, -6, 0, -8, 0, 15, 0, 17, 0, -29, 0, -5, 0, 20, 0, 2, 0, 4, 0, -4, 0, 1, 0, 4, 0, 44, 0, -9, 0, -1, 0, 7, 0, 33, 0, 1, 0, 0, 0, -25, 0, 2, 0, 10, 0, 20, 0, 8, 0, -38, 0, -15, 0, -7, 0, 10, 0, -40, 0, 1, 0, 8, 0, -38, 0, 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mf_hecke_nf • Show schema
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-2], [-48, 9], [64, -4], [-22, -14], [72, 6], [-18, -14], [6, -9], [-28, 7], [-50, 12], [-60, 6]], 'char_orbit_index': 1, 'field_poly': [-10, -1, 1], 'hecke_orbit_code': 139611588482042928, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '3120.2.a.bf', 'level': 3120, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [13, -1]], 2, 2], [[[2, -1], [3, 1], [5, 1], [13, -1]], 2, 2], [[[2, 1], [3, 1], [5, -1], [13, -1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [13, 1]], 4, 2], [[[2, -1], [3, 1], [5, -1], [13, -1]], 3, 3], [[[2, -1], [3, -1], [5, 1], [13, 1]], 4, 3], [[[2, 1], [3, -1], [5, -1], [13, -1]], 5, 4], [[[2, 1], [3, 1], [5, 1], [13, -1]], 5, 3], [[[2, 1], [3, -1], [5, 1], [13, -1]], 2, 2], [[[2, 1], [3, 1], [5, 1], [13, 1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [13, 1]], 3, 3], [[[2, 1], [3, -1], [5, -1], [13, 1]], 1, 1], [[[2, -1], [3, -1], [5, 1], [13, -1]], 3, 1], [[[2, -1], [3, -1], [5, -1], [13, 1]], 3, 3], [[[2, 1], [3, 1], [5, -1], [13, 1]], 4, 2], [[[2, 1], [3, -1], [5, 1], [13, 1]], 4, 2]], 'ALdims': [1, 5, 4, 2, 4, 2, 1, 5, 3, 2, 4, 3, 4, 3, 3, 2], 'Nk2': 12480, 'analytic_conductor': 24.91332543063948, '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': [3120, 1, [1951, 2341, 2081, 2497, 2641], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 649, 'dim': 48, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19, 31], 'hecke_orbit_code': 33557552, '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, 2, 2, 2, 2, 2, 2, 3, 3, 3], 'label': '3120.2.a', 'level': 3120, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 696, 'mf_new_dim': 48, 'num_forms': 36, 'plus_dim': 18, 'prim_orbit_index': 1, 'relative_dim': 48, 'sturm_bound': 1344, 'trace_bound': 13, 'trace_display': [0, 0, 0, -8], 'traces': [48, 0, 0, 0, 0, 0, -8, 0, 48, 0, -16, 0, 0, 0, -4, 0, 0, 0, -8, 0, 0, 0, -16, 0, 48, 0, 0, 0, 32, 0, -8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 48, 0, -8, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 8, 0, 16, 0, 32, 0, 0, 0, 0, 0, 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-224, 0, 448, 0, -16, 0, -48, 0, 144, 0, -32, 0, -256, 0, -168, 0, 160, 0, 48, 0, -16, 0, 24, 0, -176, 0, -272, 0, 64, 0, 96, 0, -128, 0, -16, 0, 32, 0, 112, 0, 32, 0, 208, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1050245
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '3120.2.a.bf', 'source_level': 3120, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': True, 'target_label': '1560.2.a.m', 'target_level': 1560, 'twist_class_label': '1560.2.a.m', 'twist_class_level': 1560, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1050246
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '3120.2.a.bf', 'source_level': 3120, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '3120.2.a.bf', 'target_level': 3120, 'twist_class_label': '1560.2.a.m', 'twist_class_level': 1560, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1050247
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '3120.2.a.bf', 'source_level': 3120, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '4680.2.a.bb', 'target_level': 4680, 'twist_class_label': '1560.2.a.m', 'twist_class_level': 1560, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1050248
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '3120.2.a.bf', 'source_level': 3120, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '7800.2.a.be', 'target_level': 7800, 'twist_class_label': '1560.2.a.m', 'twist_class_level': 1560, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1050249
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '3120.2.a.bf', 'source_level': 3120, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 72, 'target_is_minimal': False, 'target_label': '9360.2.a.ct', 'target_level': 9360, 'twist_class_label': '1560.2.a.m', 'twist_class_level': 1560, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3013750
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 139611588482042928, 'p': 2}
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id: 3013751
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 139611588482042928, 'p': 3}
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id: 3013752
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 139611588482042928, 'p': 5}
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id: 3013753
{'charpoly_factorization': [[[-10, -1, 1], 1]], 'hecke_orbit_code': 139611588482042928, 'p': 7}
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id: 3013754
{'charpoly_factorization': [[[-4, -5, 1], 1]], 'hecke_orbit_code': 139611588482042928, 'p': 11}
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id: 3013755
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 139611588482042928, 'p': 13}
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id: 3013756
{'charpoly_factorization': [[[-4, -5, 1], 1]], 'hecke_orbit_code': 139611588482042928, 'p': 17}
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id: 3013757
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 139611588482042928, 'p': 19}
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id: 3013758
{'charpoly_factorization': [[[2, 7, 1], 1]], 'hecke_orbit_code': 139611588482042928, 'p': 23}
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id: 3013759
{'charpoly_factorization': [[[-32, -6, 1], 1]], 'hecke_orbit_code': 139611588482042928, 'p': 29}
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id: 3013760
{'charpoly_factorization': [[[-32, -6, 1], 1]], 'hecke_orbit_code': 139611588482042928, 'p': 31}
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id: 3013761
{'charpoly_factorization': [[[2, 7, 1], 1]], 'hecke_orbit_code': 139611588482042928, 'p': 37}
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id: 3013762
{'charpoly_factorization': [[[46, -15, 1], 1]], 'hecke_orbit_code': 139611588482042928, 'p': 41}
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id: 3013763
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 139611588482042928, 'p': 43}
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id: 3013764
{'charpoly_factorization': [[[-16, 10, 1], 1]], 'hecke_orbit_code': 139611588482042928, 'p': 47}
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id: 3013765
{'charpoly_factorization': [[[46, -15, 1], 1]], 'hecke_orbit_code': 139611588482042928, 'p': 53}
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id: 3013766
{'charpoly_factorization': [[[-160, -4, 1], 1]], 'hecke_orbit_code': 139611588482042928, 'p': 59}
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id: 3013767
{'charpoly_factorization': [[[-10, 1, 1], 1]], 'hecke_orbit_code': 139611588482042928, 'p': 61}
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id: 3013768
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 139611588482042928, 'p': 67}
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id: 3013769
{'charpoly_factorization': [[[-256, -1, 1], 1]], 'hecke_orbit_code': 139611588482042928, 'p': 71}
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id: 3013770
{'charpoly_factorization': [[[8, -14, 1], 1]], 'hecke_orbit_code': 139611588482042928, 'p': 73}
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id: 3013771
{'charpoly_factorization': [[[-8, 3, 1], 1]], 'hecke_orbit_code': 139611588482042928, 'p': 79}
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id: 3013772
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 139611588482042928, 'p': 83}
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id: 3013773
{'charpoly_factorization': [[[-90, 3, 1], 1]], 'hecke_orbit_code': 139611588482042928, 'p': 89}
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id: 3013774
{'charpoly_factorization': [[[-20, -17, 1], 1]], 'hecke_orbit_code': 139611588482042928, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 32, 'label': '3120.2.a.bf', 'level': 3120, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 266504000
{'hecke_orbit_code': 139611588482042928, 'n': 1, 'trace_an': 2}
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id: 266504001
{'hecke_orbit_code': 139611588482042928, 'n': 2, 'trace_an': 0}
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id: 266504002
{'hecke_orbit_code': 139611588482042928, 'n': 3, 'trace_an': 2}
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id: 266504003
{'hecke_orbit_code': 139611588482042928, 'n': 4, 'trace_an': 0}
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id: 266504004
{'hecke_orbit_code': 139611588482042928, 'n': 5, 'trace_an': -2}
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id: 266504005
{'hecke_orbit_code': 139611588482042928, 'n': 6, 'trace_an': 0}
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id: 266504006
{'hecke_orbit_code': 139611588482042928, 'n': 7, 'trace_an': 1}
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id: 266504007
{'hecke_orbit_code': 139611588482042928, 'n': 8, 'trace_an': 0}
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id: 266504008
{'hecke_orbit_code': 139611588482042928, 'n': 9, 'trace_an': 2}
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id: 266504009
{'hecke_orbit_code': 139611588482042928, 'n': 10, 'trace_an': 0}
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id: 266504010
{'hecke_orbit_code': 139611588482042928, 'n': 11, 'trace_an': 5}
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id: 266504011
{'hecke_orbit_code': 139611588482042928, 'n': 12, 'trace_an': 0}
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id: 266504012
{'hecke_orbit_code': 139611588482042928, 'n': 13, 'trace_an': -2}
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id: 266504013
{'hecke_orbit_code': 139611588482042928, 'n': 14, 'trace_an': 0}
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id: 266504014
{'hecke_orbit_code': 139611588482042928, 'n': 15, 'trace_an': -2}
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id: 266504015
{'hecke_orbit_code': 139611588482042928, 'n': 16, 'trace_an': 0}
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id: 266504016
{'hecke_orbit_code': 139611588482042928, 'n': 17, 'trace_an': 5}
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id: 266504017
{'hecke_orbit_code': 139611588482042928, 'n': 18, 'trace_an': 0}
-
id: 266504018
{'hecke_orbit_code': 139611588482042928, 'n': 19, 'trace_an': 4}
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id: 266504019
{'hecke_orbit_code': 139611588482042928, 'n': 20, 'trace_an': 0}
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id: 266504020
{'hecke_orbit_code': 139611588482042928, 'n': 21, 'trace_an': 1}
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id: 266504021
{'hecke_orbit_code': 139611588482042928, 'n': 22, 'trace_an': 0}
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id: 266504022
{'hecke_orbit_code': 139611588482042928, 'n': 23, 'trace_an': -7}
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id: 266504023
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id: 266504990
{'hecke_orbit_code': 139611588482042928, 'n': 991, 'trace_an': 15}
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id: 266504991
{'hecke_orbit_code': 139611588482042928, 'n': 992, 'trace_an': 0}
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id: 266504992
{'hecke_orbit_code': 139611588482042928, 'n': 993, 'trace_an': -10}
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id: 266504993
{'hecke_orbit_code': 139611588482042928, 'n': 994, 'trace_an': 0}
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id: 266504994
{'hecke_orbit_code': 139611588482042928, 'n': 995, 'trace_an': -20}
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id: 266504995
{'hecke_orbit_code': 139611588482042928, 'n': 996, 'trace_an': 0}
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id: 266504996
{'hecke_orbit_code': 139611588482042928, 'n': 997, 'trace_an': -90}
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id: 266504997
{'hecke_orbit_code': 139611588482042928, 'n': 998, 'trace_an': 0}
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id: 266504998
{'hecke_orbit_code': 139611588482042928, 'n': 999, 'trace_an': -7}
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id: 266504999
{'hecke_orbit_code': 139611588482042928, 'n': 1000, 'trace_an': 0}