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{'Nk2': 6552, 'analytic_conductor': 13.079495851085728, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, 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': [1638, 1, [911, 703, 379], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 33, 'field_disc_factorization': [[3, 1], [11, 1]], 'field_poly': [-8, -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': [[5, [-8, -1, 1]], [11, [-8, 1, 1]], [17, [-6, -3, 1]], [19, [12, -9, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463077478, 'hecke_ring_generator_nbound': 5, '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': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1638.2.a.x', 'level': 1638, '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, 7, 13], 'level_radical': 546, 'minimal_twist': '1638.2.a.v', 'nf_label': '2.2.33.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+\\beta q^{5}-q^{7}+q^{8}+\\beta q^{10}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1638.2.a', 'trace_display': [2, 0, 1, -2], 'trace_hash': 1583792879844739297, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.055', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.074', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.457', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.861', 'prec': 20}, {'__RealLiteral__': 0, 'data': '5.157', 'prec': 17}, {'__RealLiteral__': 0, 'data': '82.924', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [2, 2, 0, 2, 1, 0, -2, 2, 0, 1, -1, 0, -2, -2, 0, 2, 3, 0, 9, 1, 0, -1, 13, 0, 7, -2, 0, -2, 7, 0, 2, 2, 0, 3, -1, 0, -3, 9, 0, 1, 6, 0, 5, -1, 0, 13, 14, 0, 2, 7, 0, -2, 6, 0, -17, -2, 0, 7, 4, 0, -7, 2, 0, 2, -1, 0, -4, 3, 0, -1, 2, 0, -11, -3, 0, 9, 1, 0, -2, 1, 0, 6, -12, 0, -15, 5, 0, -1, -18, 0, 2, 13, 0, 14, 21, 0, -8, 2, 0, 7, -4, 0, 5, -2, 0, 6, 4, 0, -13, -17, 0, -2, 40, 0, 23, 7, 0, 4, -3, 0, -5, -7, 0, 2, 15, 0, -16, 2, 0, -1, -5, 0, -9, -4, 0, 3, -15, 0, -10, -1, 0, 2, 1, 0, -13, -11, 0, -3, -6, 0, 21, 9, 0, 1, 34, 0, -35, -2, 0, 1, -13, 0, -2, 6, 0, -12, 9, 0, 2, -15, 0, 5, -20, 0, -7, -1, 0, -18, 6, 0, -24, 2, 0, 13, 15, 0, 15, 14, 0, 21, -7, 0, 4, -8, 0, 2, 12, 0, -5, 7, 0, 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-0.34656682067921274, -0.36049347690359795, -0.3533615639306952, -0.26590396723574405, -0.2925999225479197, -0.22463720372120835, -0.38040562101901615, -0.38154193214713006, -0.3162554232654843, -0.20730367363034288, -0.3395604954923393, -0.053509984849156554, -0.2357037226355773, -0.2705326593648351, -0.3837163534782493, -0.3557155267748717, -0.3416720007610962, -0.2858543508606062, -0.16666343237493814, -0.35697534902693695, -0.30423773343000776, -0.18121882968201672, -0.15061409767462433, -0.16373096517271968, -0.38550380368384785, -0.05851124369354787, -0.2064123732819837, -0.189108125412228, -0.2461086155231668, -0.32416696140446905, -0.1453917934474947, -0.1475807460654371, -0.1464886133965968, -0.42823027334277863, -0.2062722669643423, -0.22691995143606605, -0.20297293066198435, -0.1528903711401034, -0.3139641779143146], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': -2.3722813232690143, 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463077478, 'label': '1638.2.a.x.1.1', 'level': 1638, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [2, 1, 1, 2, 3, 2, 2, 3, 2, 1, 1, 2, 1, 3, 3, 1], 'Nk2': 6552, 'analytic_conductor': 13.079495851085728, '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': [1638, 1, [911, 703, 379], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 321, 'dim': 30, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17, 19], 'hecke_orbit_code': 33556070, '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], 'label': '1638.2.a', 'level': 1638, '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, 7, 13], 'level_radical': 546, 'mf_dim': 352, 'mf_new_dim': 30, 'num_forms': 25, 'plus_dim': 12, 'prim_orbit_index': 1, 'relative_dim': 30, 'sturm_bound': 672, 'trace_bound': 11, 'trace_display': [-2, 0, -8, 0], 'traces': [30, -2, 0, 30, -8, 0, 0, -2, 0, 0, -8, 0, 0, 0, 0, 30, 4, 0, 20, -8, 0, 4, 4, 0, 50, 0, 0, 0, 12, 0, 8, -2, 0, 12, 4, 0, 12, 4, 0, 0, 12, 0, 8, -8, 0, 8, 24, 0, 30, 2, 0, 0, -4, 0, 8, 0, 0, -12, -20, 0, -56, 32, 0, 30, -4, 0, 0, 4, 0, -4, -16, 0, -52, 0, 0, 20, 0, 0, -44, -8, 0, 4, 12, 0, -48, -16, 0, 4, 4, 0, 2, 4, 0, 0, 8, 0, 4, -2, 0, 50, 8, 0, -8, 0, 0, -12, 64, 0, -52, 80, 0, 0, 32, 0, 32, 12, 0, 12, 16, 0, -22, -8, 0, 8, 48, 0, -28, -2, 0, 4, 4, 0, -20, 52, 0, 12, 4, 0, -12, 4, 0, -40, 8, 0, -48, -28, 0, 12, -68, 0, -16, 4, 0, 8, 48, 0, -32, -16, 0, 0, -32, 0, 32, 12, 0, 12, 8, 0, 30, 16, 0, 8, -32, 0, 0, -8, 0, -4, 0, 0, 0, -6, 0, 8, -8, 0, 16, 24, 0, 40, 0, 0, 4, -20, 0, 30, 28, 0, -16, 2, 0, -8, -24, 0, -16, 24, 0, 0, -72, 0, -64, -4, 0, 16, 64, 0, 4, 12, 0, 8, 0, 0, 0, 0, 0, 20, 44, 0, 32, -40, 0, -12, -120, 0, 144, -20, 0, 16, -56, 0, -60, 6, 0, -56, -8, 0, -4, 32, 0, 0, -28, 0, 16, 40, 0, 30, -36, 0, -16, -4, 0, 44, -80, 0, 16, -12, 0, 0, -80, 0, -96, 4, 0, -44, -56, 0, -36, -20, 0, -4, -20, 0, 20, -16, 0, 0, 4, 0, 26, -112, 0, -52, -24, 0, 24, 0, 0, -72, 8, 0, -24, -32, 0, 20, -32, 0, 20, 0, 0, 8, -184, 0, -68, 16, 0, -44, 12, 0, -16, -8, 0, -8, -72, 0, -32, 48, 0, 4, 36, 0, 8, 12, 0, 24, 24, 0, -72, -2, 0, -48, 16, 0, 0, -16, 0, -64, 8, 0, -112, 32, 0, 4, -108, 0, 16, 4, 0, 64, -8, 0, -42, -48, 0, 2, -80, 0, 104, 4, 0, -80, 0, 0, -36, 0, 0, 0, 32, 0, -16, 8, 0, -40, 8, 0, 40, -68, 0, 4, -20, 0, -16, -2, 0, -24, 240, 0, -16, -40, 0, 50, 12, 0, -24, 8, 0, -32, 76, 0, 52, -104, 0, -8, -44, 0, -56, 0, 0, 48, -76, 0, -12, 64, 0, -12, 12, 0, -20, 64, 0, -64, 176, 0, 76, -8, 0, -52, 32, 0, -24, 80, 0, 0, 8, 0, -112, 40, 0, 0, -4, 0, 72, 32, 0, 84, 0, 0, 76, -40, 0, 32, -64, 0, 72, 12, 0, 20, 148, 0, 56, 56, 0, 12, -80, 0, 44, 16, 0, 16, -24, 0, 0, -20, 0, -22, 80, 0, -64, -8, 0, 0, -64, 0, 72, -28, 0, 8, 24, 0, 144, 48, 0, 4, 128, 0, -96, -36, 0, -28, -16, 0, -36, -2, 0, 148, -64, 0, -80, -16, 0, 4, 204, 0, 4, 4, 0, -72, 136, 0, 114, -64, 0, -20, -48, 0, 64, 52, 0, 32, -8, 0, -188, 104, 0, 12, 32, 0, 0, 4, 0, 28, 24, 0, -40, -60, 0, -12, 204, 0, -16, 4, 0, -36, 4, 0, 80, -44, 0, -40, -32, 0, -64, 8, 0, -24, 236, 0, -164, -70, 0, -48, 4, 0, 152, -28, 0, -24, 36, 0, -56, -8, 0, 12, 52, 0, -8, -68, 0, -32, -188, 0, -20, -16, 0, -16, 88, 0, -104, 4, 0, -88, 16, 0, -84, -44, 0, 8, -12, 0, 52, 48, 0, -112, 56, 0, -26, -92, 0, -32, -8, 0, 72, -16, 0, 40, -224, 0, 0, -8, 0, 0, 88, 0, 28, -32, 0, 24, 96, 0, 216, 0, 0, 32, -20, 0, 8, 12, 0, -40, -80, 0, 24, 44, 0, 12, 40, 0, 40, 8, 0, -192, -32, 0, -64, -52, 0, 30, 16, 0, -20, 16, 0, -96, -96, 0, -48, 0, 0, 8, 40, 0, 244, -32, 0, -48, 40, 0, 128, -72, 0, 0, 116, 0, -16, -8, 0, 44, -76, 0, -84, 144, 0, -4, 176, 0, 16, 0, 0, -64, -136, 0, -64, 22, 0, 0, 36, 0, -8, -6, 0, -56, -96, 0, 56, -16, 0, 8, 124, 0, 80, -8, 0, -8, 96, 0, 56, -36, 0, 16, -64, 0, 180, 24, 0, 40, -144, 0, 44, -144, 0, 40, -132, 0, 64, 0, 0, 16, 20, 0, -28, 64, 0, 4, -88, 0, 216, -20, 0, 108, 80, 0, -88, 80, 0, 30, -144, 0, -44, 28, 0, 24, 32, 0, -8, 64, 0, -16, -96, 0, 312, 2, 0, -116, -40, 0, -48, -20, 0, -8, -68, 0, -12, -24, 0, -120, -32, 0, 64, -52, 0, -16, -164, 0, -36, 24, 0, 36, 8, 0, 24, -8, 0, 0, 4, 0, 80, -72, 0, 132, -168, 0, -62, -64, 0, -64, -8, 0, 32, -4, 0, -140, -8, 0, -96, 24, 0, 16, -212, 0, 92, 64, 0, -152, -8, 0, 168, -44, 0, 4, -112, 0, -16, 12, 0, 168, 72, 0, -20, -64, 0, 8, 44, 0, -24, 0, 0, 24, 96, 0, 16, 0, 0, 0, -8, 0, 240, 0, 0, -44, -320, 0, -104, 32, 0, 20, -32, 0, 88, 44, 0, 8, -56, 0, -24, 4, 0, 32, 84, 0, -60, -40, 0, 8, -32, 0, 20, 104, 0, -12, -20, 0, 20, -120, 0, 60, 272, 0, 116, 32, 0, 144, 168, 0, 112, -20, 0, 56, 32, 0, 32, 44, 0, 16, 92, 0, -80, -56, 0, 72, -48, 0, 210, 16, 0, -60, 16, 0, 240, 6, 0, 8, -4, 0, 52, 112, 0, -56, 172, 0, 176, -8, 0, 16, 72, 0, 24, 88, 0, -4, 168, 0, 212, 32, 0, -16, -80, 0, -56, -20, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48478585
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463077478, 'source_is_minimal': True, 'source_label': '1638.2.a.x.1.1', 'source_level': 1638, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463077478, 'target_is_minimal': True, 'target_label': '1638.2.a.x.1.1', 'target_level': 1638, 'twist_class_label': '1638.2.a.v.1.2', 'twist_class_level': 1638, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48478586
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463077478, 'source_is_minimal': True, 'source_label': '1638.2.a.x.1.1', 'source_level': 1638, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592208336486, 'target_is_minimal': True, 'target_label': '1638.2.a.v.1.2', 'target_level': 1638, 'twist_class_label': '1638.2.a.v.1.2', 'twist_class_level': 1638, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2093700
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 103582791463077478, 'p': 2}
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id: 2093701
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 103582791463077478, 'p': 3}
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id: 2093702
{'charpoly_factorization': [[[-8, -1, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 5}
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id: 2093703
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 103582791463077478, 'p': 7}
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id: 2093704
{'charpoly_factorization': [[[-8, 1, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 11}
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id: 2093705
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 103582791463077478, 'p': 13}
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id: 2093706
{'charpoly_factorization': [[[-6, -3, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 17}
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id: 2093707
{'charpoly_factorization': [[[12, -9, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 19}
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id: 2093708
{'charpoly_factorization': [[[34, -13, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 23}
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id: 2093709
{'charpoly_factorization': [[[4, -7, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 29}
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id: 2093710
{'charpoly_factorization': [[[-32, -2, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 31}
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id: 2093711
{'charpoly_factorization': [[[-6, 3, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 37}
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id: 2093712
{'charpoly_factorization': [[[-24, -6, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 41}
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id: 2093713
{'charpoly_factorization': [[[-68, -5, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 43}
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id: 2093714
{'charpoly_factorization': [[[16, -14, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 47}
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id: 2093715
{'charpoly_factorization': [[[-24, -6, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 53}
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id: 2093716
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 103582791463077478, 'p': 59}
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id: 2093717
{'charpoly_factorization': [[[-62, 7, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 61}
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id: 2093718
{'charpoly_factorization': [[[-128, 4, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 67}
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id: 2093719
{'charpoly_factorization': [[[-32, -2, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 71}
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id: 2093720
{'charpoly_factorization': [[[22, 11, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 73}
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id: 2093721
{'charpoly_factorization': [[[-32, 2, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 79}
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id: 2093722
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 103582791463077478, 'p': 83}
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id: 2093723
{'charpoly_factorization': [[[48, 18, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 89}
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id: 2093724
{'charpoly_factorization': [[[-116, 8, 1], 1]], 'hecke_orbit_code': 103582791463077478, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '1638.2.a.x', 'level': 1638, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 65824033
{'hecke_orbit_code': 103582791463077478, 'n': 1, 'trace_an': 2}
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id: 65824034
{'hecke_orbit_code': 103582791463077478, 'n': 2, 'trace_an': 2}
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id: 65824035
{'hecke_orbit_code': 103582791463077478, 'n': 3, 'trace_an': 0}
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id: 65824036
{'hecke_orbit_code': 103582791463077478, 'n': 4, 'trace_an': 2}
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id: 65824037
{'hecke_orbit_code': 103582791463077478, 'n': 5, 'trace_an': 1}
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id: 65824038
{'hecke_orbit_code': 103582791463077478, 'n': 6, 'trace_an': 0}
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id: 65824039
{'hecke_orbit_code': 103582791463077478, 'n': 7, 'trace_an': -2}
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id: 65824040
{'hecke_orbit_code': 103582791463077478, 'n': 8, 'trace_an': 2}
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id: 65824041
{'hecke_orbit_code': 103582791463077478, 'n': 9, 'trace_an': 0}
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id: 65824042
{'hecke_orbit_code': 103582791463077478, 'n': 10, 'trace_an': 1}
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