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{'Nk2': 16320, 'analytic_conductor': 32.5789640246824, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 2, 'char_parity': 1, 'char_values': [4080, 2, [511, 3061, 1361, 817, 241], [2, 2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 2449, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [1, 0, 1]], [11, [-1, 1]], [23, [16, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022422431502320, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4080.2.m.g', 'level': 4080, '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, 3, 5, 17], 'level_radical': 510, 'minimal_twist': '2040.2.m.c', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q-i q^{3}+(2 i-1)q^{5}+i q^{7}-q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4080.2.m', 'trace_display': [0, 0, -2, 0], 'trace_hash': 640733048383784928, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.001', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.010', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.079', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.509', 'prec': 20}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, -1], [0, 0], [-1, 2], [0, 0], [0, 1], [0, 0], [-1, 0], [0, 0], [1, 0], [0, 0], [0, -4], [0, 0], [2, 1], [0, 0], [0, -1], [0, 0], [-1, 0], [0, 0], [1, 0], [0, 0], [0, 4], [0, 0], [-3, -4], [0, 0], [0, 1], [0, 0], [1, 0], [0, 0], [-6, 0], [0, 0], [0, -1], [0, 0], [-2, -1], [0, 0], [0, -5], [0, 0], [-4, 0], [0, 0], [-1, 0], [0, 0], [0, 6], [0, 0], [1, -2], [0, 0], [0, -3], [0, 0], [6, 0], [0, 0], [-1, 0], [0, 0], [0, 1], [0, 0], [-1, 2], [0, 0], [0, 1], [0, 0], [6, 0], [0, 0], [-4, 0], [0, 0], [0, -1], [0, 0], [8, 4], [0, 0], [0, -2], [0, 0], [4, 0], [0, 0], [-8, 0], [0, 0], [0, -5], [0, 0], [-4, 3], [0, 0], [0, 1], [0, 0], [-14, 0], [0, 0], [1, 0], [0, 0], [0, -4], [0, 0], [2, 1], [0, 0], [0, -1], [0, 0], [6, 0], [0, 0], [4, 0], [0, 0], [0, 6], [0, 0], [1, -2], [0, 0], [0, -14], [0, 0], [-1, 0], [0, 0]], 'ap': [[0, 0], [0, -1], [-1, 2], [0, 1], [1, 0], [0, -4], [0, -1], [-1, 0], [0, 4], [1, 0], [-6, 0], [0, -5], [-1, 0], [0, 6], [0, -3], [0, 1], [6, 0], [-4, 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0]], [817, [-1, 0]], [241, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '4080.2.m.g', 'level': 4080, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 16320, 'analytic_conductor': 32.5789640246824, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 2, 'char_parity': 1, 'char_values': [4080, 2, [511, 3061, 1361, 817, 241], [2, 2, 2, 1, 2]], 'conrey_index': 2449, 'cusp_dim': 840, 'dim': 96, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 23], 'hecke_orbit_code': 824667279344, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 6, 10, 10, 10, 12, 12], 'label': '4080.2.m', 'level': 4080, '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, 3, 5, 17], 'level_radical': 510, 'mf_dim': 888, 'mf_new_dim': 96, 'num_forms': 21, 'prim_orbit_index': 2, 'relative_dim': 96, 'sturm_bound': 1728, 'trace_bound': 15, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -24, 0, 0, 0, 24, 0, 0, 0, 16, 0, 16, 0, 0, 0, 0, 0, 0, 0, -96, 0, 12, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 88, 0, 96, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -48, 0, 0, 0, -52, 0, 0, 0, 0, 0, 128, 0, 0, 0, 48, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 24, 0, 0, 0, 24, 0, 0, 0, 40, 0, -32, 0, 0, 0, -32, 0, 0, 0, -80, 0, 0, 0, 0, 0, 56, 0, 0, 0, -16, 0, 64, 0, 0, 0, -16, 0, 0, 0, 0, 0, 192, 0, 0, 0, -52, 0, 0, 0, 72, 0, 0, 0, 0, 0, 16, 0, 0, 0, 64, 0, 168, 0, 0, 0, -144, 0, 0, 0, 48, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -48, 0, 0, 0, -88, 0, 0, 0, -192, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, 0, -48, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -32, 0, 0, 0, 96, 0, -72, 0, 0, 0, -112, 0, 0, 0, 24, 0, -16, 0, 0, 0, 0, 0, 0, 0, -96, 0, 24, 0, 0, 0, 8, 0, 0, 0, 128, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 208, 0, 0, 0, -24, 0, 0, 0, -120, 0, 16, 0, 0, 0, -160, 0, 0, 0, 0, 0, -80, 0, 0, 0, 32, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -112, 0, -16, 0, 0, 0, -72, 0, 0, 0, -64, 0, 80, 0, 0, 0, -128, 0, 0, 0, -16, 0, 96, 0, 0, 0, 36, 0, 0, 0, 24, 0, 64, 0, 0, 0, 32, 0, 0, 0, -16, 0, -56, 0, 0, 0, 128, 0, 0, 0, 24, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 72, 0, 0, 0, -72, 0, 0, 0, -80, 0, 48, 0, 0, 0, 16, 0, 0, 0, -32, 0, 80, 0, 0, 0, 0, 0, 0, 0, 136, 0, 96, 0, 0, 0, 16, 0, 0, 0, 16, 0, 48, 0, 0, 0, -136, 0, 0, 0, -12, 0, -80, 0, 0, 0, 64, 0, 0, 0, 64, 0, -112, 0, 0, 0, -140, 0, 0, 0, -144, 0, -32, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, -120, 0, 32, 0, 0, 0, -16, 0, 0, 0, -16, 0, 168, 0, 0, 0, 96, 0, 0, 0, 0, 0, 208, 0, 0, 0, 48, 0, 0, 0, -144, 0, 0, 0, 0, 0, 84, 0, 0, 0, 96, 0, 96, 0, 0, 0, -112, 0, 0, 0, 0, 0, 64, 0, 0, 0, -24, 0, 0, 0, 120, 0, 0, 0, 0, 0, 64, 0, 0, 0, -80, 0, -56, 0, 0, 0, -96, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, -48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 96, 0, 0, 0, -80, 0, 0, 0, -160, 0, 176, 0, 0, 0, 48, 0, 0, 0, -216, 0, 0, 0, 0, 0, 72, 0, 0, 0, -16, 0, -112, 0, 0, 0, -48, 0, 0, 0, 0, 0, -48, 0, 0, 0, -112, 0, 0, 0, -128, 0, 128, 0, 0, 0, -4, 0, 0, 0, -48, 0, 96, 0, 0, 0, -64, 0, 0, 0, -32, 0, 320, 0, 0, 0, 16, 0, 0, 0, 16, 0, 16, 0, 0, 0, -144, 0, 0, 0, 64, 0, 24, 0, 0, 0, -240, 0, 0, 0, 48, 0, -176, 0, 0, 0, 64, 0, 0, 0, 128, 0, -88, 0, 0, 0, -4, 0, 0, 0, -192, 0, 224, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, 0, 0, -112, 0, 0, 0, -8, 0, -64, 0, 0, 0, 112, 0, 0, 0, 256, 0, 40, 0, 0, 0, 32, 0, 0, 0, 64, 0, -16, 0, 0, 0, 0, 0, 0, 0, -160, 0, 72, 0, 0, 0, -200, 0, 0, 0, -448, 0, -48, 0, 0, 0, -128, 0, 0, 0, 64, 0, 320, 0, 0, 0, -128, 0, 0, 0, 64, 0, 16, 0, 0, 0, -304, 0, 0, 0, 80, 0, 456, 0, 0, 0, 104, 0, 0, 0, 0, 0, 96, 0, 0, 0, 8, 0, 0, 0, 64, 0, 24, 0, 0, 0, -244, 0, 0, 0, 0, 0, 192, 0, 0, 0, -304, 0, 0, 0, -160, 0, -192, 0, 0, 0, 64, 0, 0, 0, 216, 0, 192, 0, 0, 0, 40, 0, 0, 0, 272, 0, 112, 0, 0, 0, -112, 0, 0, 0, 136, 0, -16, 0, 0, 0, -80, 0, 0, 0, -128, 0, 0, 0, 0, 0, -160, 0, 0, 0, -224, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 416, 0, 0, 0, -160, 0, 0, 0, -144, 0, 32, 0, 0, 0, -64, 0, 0, 0, 176, 0, -40, 0, 0, 0, 0, 0, 0, 0, -48, 0, 160, 0, 0, 0, 16, 0, 0, 0, -96, 0, -72, 0, 0, 0, -152, 0, 0, 0, -128, 0, 304, 0, 0, 0, -144, 0, 0, 0, 0, 0, 448, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 384, 0, 104, 0, 0, 0, 192, 0, 0, 0, 48, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1188064
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '4080.2.m.g', 'source_level': 4080, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '2040.2.m.c', 'target_level': 2040, 'twist_class_label': '2040.2.m.c', 'twist_class_level': 2040, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1188065
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '4080.2.m.g', 'source_level': 4080, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '2040.2.m.c', 'target_level': 2040, 'twist_class_label': '2040.2.m.c', 'twist_class_level': 2040, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1188066
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '4080.2.m.g', 'source_level': 4080, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '4080.2.m.g', 'target_level': 4080, 'twist_class_label': '2040.2.m.c', 'twist_class_level': 2040, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1188067
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '4080.2.m.g', 'source_level': 4080, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '4080.2.m.g', 'target_level': 4080, 'twist_class_label': '2040.2.m.c', 'twist_class_level': 2040, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3399825
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27022422431502320, 'p': 2}
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id: 3399826
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 27022422431502320, 'p': 3}
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id: 3399827
{'charpoly_factorization': [[[5, 2, 1], 1]], 'hecke_orbit_code': 27022422431502320, 'p': 5}
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id: 3399828
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 27022422431502320, 'p': 7}
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id: 3399829
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 27022422431502320, 'p': 11}
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id: 3399830
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 27022422431502320, 'p': 13}
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id: 3399831
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 27022422431502320, 'p': 17}
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id: 3399832
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 27022422431502320, 'p': 19}
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id: 3399833
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 27022422431502320, 'p': 23}
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id: 3399834
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 27022422431502320, 'p': 29}
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id: 3399835
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 27022422431502320, 'p': 31}
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id: 3399836
{'charpoly_factorization': [[[25, 0, 1], 1]], 'hecke_orbit_code': 27022422431502320, 'p': 37}
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id: 3399837
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 27022422431502320, 'p': 41}
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id: 3399838
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 27022422431502320, 'p': 43}
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id: 3399839
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 27022422431502320, 'p': 47}
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id: 3399840
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 27022422431502320, 'p': 53}
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id: 3399841
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 27022422431502320, 'p': 59}
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id: 3399842
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 27022422431502320, 'p': 61}
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id: 3399843
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 27022422431502320, 'p': 67}
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id: 3399844
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 27022422431502320, 'p': 71}
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id: 3399845
{'charpoly_factorization': [[[25, 0, 1], 1]], 'hecke_orbit_code': 27022422431502320, 'p': 73}
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id: 3399846
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 27022422431502320, 'p': 79}
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id: 3399847
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 27022422431502320, 'p': 83}
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id: 3399848
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 27022422431502320, 'p': 89}
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id: 3399849
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 27022422431502320, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 13, 'hecke_orbit': 7, 'label': '4080.2.m.g', 'level': 4080, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 47609233
{'hecke_orbit_code': 27022422431502320, 'n': 1, 'trace_an': 2}
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id: 47609234
{'hecke_orbit_code': 27022422431502320, 'n': 2, 'trace_an': 0}
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id: 47609235
{'hecke_orbit_code': 27022422431502320, 'n': 3, 'trace_an': 0}
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id: 47609236
{'hecke_orbit_code': 27022422431502320, 'n': 4, 'trace_an': 0}
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id: 47609237
{'hecke_orbit_code': 27022422431502320, 'n': 5, 'trace_an': -2}
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id: 47609238
{'hecke_orbit_code': 27022422431502320, 'n': 6, 'trace_an': 0}
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id: 47609239
{'hecke_orbit_code': 27022422431502320, 'n': 7, 'trace_an': 0}
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id: 47609240
{'hecke_orbit_code': 27022422431502320, 'n': 8, 'trace_an': 0}
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id: 47609241
{'hecke_orbit_code': 27022422431502320, 'n': 9, 'trace_an': -2}
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id: 47609242
{'hecke_orbit_code': 27022422431502320, 'n': 10, 'trace_an': 0}
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id: 47609243
{'hecke_orbit_code': 27022422431502320, 'n': 11, 'trace_an': 2}
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id: 47609244
{'hecke_orbit_code': 27022422431502320, 'n': 12, 'trace_an': 0}
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id: 47609245
{'hecke_orbit_code': 27022422431502320, 'n': 13, 'trace_an': 0}
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id: 47609246
{'hecke_orbit_code': 27022422431502320, 'n': 14, 'trace_an': 0}
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id: 47609247
{'hecke_orbit_code': 27022422431502320, 'n': 15, 'trace_an': 4}
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id: 47609248
{'hecke_orbit_code': 27022422431502320, 'n': 16, 'trace_an': 0}
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id: 47609249
{'hecke_orbit_code': 27022422431502320, 'n': 17, 'trace_an': 0}
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id: 47609250
{'hecke_orbit_code': 27022422431502320, 'n': 18, 'trace_an': 0}
-
id: 47609251
{'hecke_orbit_code': 27022422431502320, 'n': 19, 'trace_an': -2}
-
id: 47609252
{'hecke_orbit_code': 27022422431502320, 'n': 20, 'trace_an': 0}
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id: 47609253
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id: 47609459
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id: 47609460
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id: 47609461
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id: 47609462
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id: 47609463
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id: 47609471
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id: 47609472
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id: 47609478
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id: 47609484
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id: 47609486
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id: 47609489
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id: 47609490
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