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{'Nk2': 33856, 'analytic_conductor': 67.58538027081171, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [23, 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': [8464, 1, [7407, 2117, 6353], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 1600, 'field_disc_factorization': [[2, 6], [5, 2]], 'field_poly': [4, 0, -6, 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, [-5, 0, 1]], [5, [4, 0, -6, 0, 1]], [7, [4, 0, -14, 0, 1]], [13, [11, 8, 1]]], 'hecke_orbit': 39, 'hecke_orbit_code': 171136785873641744, 'hecke_ring_generator_nbound': 7, '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, 23, 2, -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': '8464.2.a.bm', 'level': 8464, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 23], 'level_radical': 46, 'minimal_twist': '4232.2.a.t', 'nf_label': '4.4.1600.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{3}q^{3}+\\beta _{1}q^{5}+(\\beta _{1}+\\beta _{2})q^{7}+2q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8464.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1510208383400873391, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [60, 66, 61, 55], 'ALdims_eis_new': [0, 0, 10, 11], 'ALdims_eis_old': [35, 36, 26, 25], 'ALdims_old': [193, 198, 203, 197], 'Nk2': 33856, 'analytic_conductor': 67.58538027081171, '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': [8464, 1, [7407, 2117, 6353], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1033, 'dim': 242, 'eis_dim': 143, 'eis_new_dim': 21, 'hecke_cutter_primes': [3, 5, 7, 13], 'hecke_orbit_code': 33562896, 'hecke_orbit_dims': [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, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 8, 8, 8, 10, 10, 12, 15, 15, 15, 15], 'label': '8464.2.a', 'level': 8464, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 23], 'level_radical': 46, 'mf_dim': 1176, 'mf_new_dim': 263, 'num_forms': 62, 'plus_dim': 115, 'prim_orbit_index': 1, 'relative_dim': 242, 'sturm_bound': 2208, 'trace_bound': 13, 'trace_display': [0, -2, 2, -4], 'traces': [242, 0, -2, 0, 2, 0, -4, 0, 224, 0, 0, 0, 2, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 204, 0, -8, 0, 2, 0, -10, 0, 8, 0, 0, 0, 10, 0, -20, 0, -6, 0, 0, 0, 10, 0, 44, 0, 176, 0, -4, 0, 10, 0, 24, 0, -8, 0, -2, 0, 18, 0, -32, 0, -12, 0, 8, 0, 0, 0, 6, 0, 2, 0, -6, 0, 8, 0, -28, 0, 162, 0, 20, 0, 12, 0, 40, 0, -6, 0, -4, 0, -22, 0, -8, 0, -6, 0, 8, 0, 18, 0, 36, 0, 24, 0, 28, 0, 10, 0, 24, 0, 10, 0, 0, 0, 34, 0, 36, 0, 136, 0, 16, 0, 12, 0, -30, 0, 0, 0, 34, 0, -16, 0, -16, 0, -22, 0, -32, 0, 24, 0, -16, 0, -20, 0, 8, 0, -14, 0, 10, 0, 2, 0, 48, 0, -22, 0, -28, 0, 0, 0, -14, 0, 24, 0, -22, 0, 92, 0, 56, 0, 18, 0, -52, 0, -24, 0, -66, 0, -22, 0, 12, 0, -10, 0, 16, 0, -8, 0, 16, 0, -14, 0, -88, 0, 2, 0, 0, 0, 0, 0, -52, 0, -28, 0, 0, 0, 0, 0, -46, 0, -8, 0, -12, 0, -16, 0, 44, 0, 4, 0, -98, 0, 162, 0, 12, 0, -30, 0, 86, 0, -6, 0, 16, 0, -48, 0, 54, 0, 26, 0, -6, 0, -6, 0, -68, 0, 48, 0, 76, 0, 0, 0, 110, 0, 2, 0, -4, 0, 10, 0, -20, 0, -12, 0, 96, 0, -62, 0, 62, 0, 24, 0, -40, 0, -28, 0, -26, 0, 26, 0, -16, 0, -66, 0, 60, 0, 52, 0, 28, 0, -62, 0, 104, 0, 48, 0, 0, 0, -16, 0, 100, 0, -12, 0, 2, 0, -64, 0, 26, 0, -14, 0, 160, 0, 66, 0, -56, 0, 32, 0, -98, 0, 22, 0, -8, 0, 80, 0, -94, 0, 42, 0, 8, 0, 18, 0, 124, 0, 32, 0, -32, 0, 0, 0, 38, 0, -22, 0, -12, 0, -6, 0, 88, 0, -56, 0, -76, 0, 64, 0, -74, 0, -20, 0, 44, 0, 20, 0, 206, 0, 18, 0, 8, 0, 12, 0, -72, 0, -80, 0, -40, 0, 24, 0, -192, 0, -6, 0, 0, 0, 32, 0, -92, 0, -22, 0, -24, 0, 82, 0, 12, 0, -6, 0, -132, 0, -54, 0, 64, 0, 16, 0, 94, 0, 0, 0, 64, 0, 82, 0, 216, 0, -10, 0, 28, 0, 8, 0, -104, 0, -62, 0, 16, 0, 0, 0, 30, 0, 82, 0, 86, 0, 4, 0, -84, 0, 74, 0, 136, 0, 48, 0, 84, 0, -14, 0, -124, 0, -44, 0, -34, 0, -8, 0, -36, 0, 24, 0, 104, 0, 64, 0, 36, 0, -14, 0, 108, 0, -52, 0, 0, 0, -114, 0, 130, 0, 24, 0, 14, 0, 124, 0, 190, 0, -8, 0, 142, 0, -112, 0, -68, 0, -60, 0, -84, 0, -86, 0, -36, 0, -72, 0, -164, 0, -64, 0, 12, 0, -30, 0, 100, 0, 8, 0, -76, 0, 0, 0, -14, 0, 36, 0, -20, 0, -32, 0, 56, 0, 74, 0, -192, 0, -44, 0, -86, 0, -30, 0, 68, 0, -70, 0, 96, 0, -62, 0, 32, 0, -58, 0, -32, 0, 60, 0, -76, 0, -54, 0, -116, 0, -16, 0, 0, 0, -70, 0, -152, 0, 8, 0, -32, 0, -92, 0, -102, 0, 64, 0, -220, 0, 50, 0, 72, 0, -64, 0, 180, 0, 18, 0, 104, 0, -62, 0, 142, 0, 96, 0, -44, 0, 26, 0, -176, 0, 26, 0, 16, 0, 0, 0, 0, 0, -82, 0, 218, 0, -52, 0, -128, 0, -72, 0, 176, 0, 10, 0, 138, 0, 26, 0, -96, 0, -70, 0, -110, 0, 16, 0, -44, 0, -22, 0, 200, 0, -70, 0, 44, 0, 26, 0, 244, 0, 96, 0, 0, 0, -88, 0, 144, 0, -62, 0, -16, 0, -94, 0, 0, 0, -8, 0, 170, 0, 36, 0, -96, 0, 68, 0, -36, 0, -58, 0, -56, 0, 76, 0, -30, 0, 34, 0, -64, 0, 40, 0, 112, 0, 58, 0, -80, 0, 0, 0, 66, 0, -56, 0, -58, 0, -8, 0, 184, 0, -58, 0, -232, 0, 80, 0, -104, 0, 42, 0, 104, 0, -30, 0, 74, 0, 112, 0, 100, 0, -28, 0, -192, 0, -48, 0, 48, 0, 48, 0, -168, 0, 98, 0, 0, 0, 2, 0, -128, 0, 84, 0, 222, 0, 90, 0, -12, 0, 42, 0, -238, 0, -120, 0, 148, 0, 72, 0, 222, 0, -92, 0, 32, 0, 48, 0, 232, 0, -116, 0, 32, 0, 42, 0, -124, 0, -102, 0, 96, 0, 0, 0, -32, 0, 74, 0, -10, 0, 16, 0, -80, 0, 48, 0, 272, 0, 66, 0, 110, 0, -16, 0, -24, 0, 20, 0, -92, 0, -38, 0, -16, 0, -82, 0, 60, 0, 12, 0, -36, 0, 182, 0, 260, 0, -112, 0, 0, 0, 90, 0, 180, 0, -70, 0, 22, 0, 152, 0, 90, 0, 36, 0, 246, 0, -96, 0, -120, 0, -78, 0, -230, 0, 10, 0, -104, 0, -126, 0, -78, 0, -32, 0, 42, 0, -64, 0, 136, 0, -128, 0, -24, 0, 0, 0, 4, 0, 68, 0, -64, 0, 12, 0, 100, 0, -236, 0, -204, 0, -104, 0, 182, 0, -24, 0, 108, 0, -86, 0, 72, 0, 30, 0, 24, 0, 2, 0, -196, 0, 88, 0, -136, 0, -54, 0, -264, 0, -94, 0, 0, 0, -78, 0, -90, 0, -20, 0, 64, 0, -142, 0, 0, 0, -16, 0, -208, 0, 0, 0, 112, 0, -92, 0, 100, 0, 72, 0, 36, 0, -152, 0, 270, 0, 74, 0, 32, 0, -78, 0, -124, 0, 60, 0, 100, 0, 0, 0, 22, 0, -96, 0, 124, 0, 66, 0, -184, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1392952
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 39, 'source_is_minimal': False, 'source_label': '8464.2.a.bm', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': True, 'target_label': '4232.2.a.t', 'target_level': 4232, 'twist_class_label': '4232.2.a.t', 'twist_class_level': 4232, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1392953
{'conductor': 92, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 39, 'source_is_minimal': False, 'source_label': '8464.2.a.bm', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': True, 'target_label': '4232.2.a.t', 'target_level': 4232, 'twist_class_label': '4232.2.a.t', 'twist_class_level': 4232, 'twisting_char_label': '92.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1392954
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 39, 'source_is_minimal': False, 'source_label': '8464.2.a.bm', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '8464.2.a.bm', 'target_level': 8464, 'twist_class_label': '4232.2.a.t', 'twist_class_level': 4232, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1392955
{'conductor': 23, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 39, 'source_is_minimal': False, 'source_label': '8464.2.a.bm', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '8464.2.a.bm', 'target_level': 8464, 'twist_class_label': '4232.2.a.t', 'twist_class_level': 4232, 'twisting_char_label': '23.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4761650
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 171136785873641744, 'p': 2}
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id: 4761651
{'charpoly_factorization': [[[-5, 0, 1], 2]], 'hecke_orbit_code': 171136785873641744, 'p': 3}
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id: 4761652
{'charpoly_factorization': [[[4, 0, -6, 0, 1], 1]], 'hecke_orbit_code': 171136785873641744, 'p': 5}
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id: 4761653
{'charpoly_factorization': [[[4, 0, -14, 0, 1], 1]], 'hecke_orbit_code': 171136785873641744, 'p': 7}
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id: 4761654
{'charpoly_factorization': [[[4, 0, -14, 0, 1], 1]], 'hecke_orbit_code': 171136785873641744, 'p': 11}
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id: 4761655
{'charpoly_factorization': [[[11, 8, 1], 2]], 'hecke_orbit_code': 171136785873641744, 'p': 13}
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id: 4761656
{'charpoly_factorization': [[[4, 0, -14, 0, 1], 1]], 'hecke_orbit_code': 171136785873641744, 'p': 17}
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id: 4761657
{'charpoly_factorization': [[[4, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 171136785873641744, 'p': 19}
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id: 4761658
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 171136785873641744, 'p': 23}
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id: 4761659
{'charpoly_factorization': [[[-41, 4, 1], 2]], 'hecke_orbit_code': 171136785873641744, 'p': 29}
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id: 4761660
{'charpoly_factorization': [[[-79, 2, 1], 2]], 'hecke_orbit_code': 171136785873641744, 'p': 31}
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id: 4761661
{'charpoly_factorization': [[[4, 0, -94, 0, 1], 1]], 'hecke_orbit_code': 171136785873641744, 'p': 37}
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id: 4761662
{'charpoly_factorization': [[[-29, 8, 1], 2]], 'hecke_orbit_code': 171136785873641744, 'p': 41}
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id: 4761663
{'charpoly_factorization': [[[-72, 0, 1], 2]], 'hecke_orbit_code': 171136785873641744, 'p': 43}
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id: 4761664
{'charpoly_factorization': [[[5, -10, 1], 2]], 'hecke_orbit_code': 171136785873641744, 'p': 47}
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id: 4761665
{'charpoly_factorization': [[[6724, 0, -196, 0, 1], 1]], 'hecke_orbit_code': 171136785873641744, 'p': 53}
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id: 4761666
{'charpoly_factorization': [[[4, 14, 1], 2]], 'hecke_orbit_code': 171136785873641744, 'p': 59}
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id: 4761667
{'charpoly_factorization': [[[-90, 0, 1], 2]], 'hecke_orbit_code': 171136785873641744, 'p': 61}
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id: 4761668
{'charpoly_factorization': [[[1444, 0, -174, 0, 1], 1]], 'hecke_orbit_code': 171136785873641744, 'p': 67}
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id: 4761669
{'charpoly_factorization': [[[31, 12, 1], 2]], 'hecke_orbit_code': 171136785873641744, 'p': 71}
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id: 4761670
{'charpoly_factorization': [[[31, 12, 1], 2]], 'hecke_orbit_code': 171136785873641744, 'p': 73}
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id: 4761671
{'charpoly_factorization': [[[100, 0, -180, 0, 1], 1]], 'hecke_orbit_code': 171136785873641744, 'p': 79}
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id: 4761672
{'charpoly_factorization': [[[3844, 0, -126, 0, 1], 1]], 'hecke_orbit_code': 171136785873641744, 'p': 83}
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id: 4761673
{'charpoly_factorization': [[[1600, 0, -120, 0, 1], 1]], 'hecke_orbit_code': 171136785873641744, 'p': 89}
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id: 4761674
{'charpoly_factorization': [[[12100, 0, -230, 0, 1], 1]], 'hecke_orbit_code': 171136785873641744, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 39, 'label': '8464.2.a.bm', 'level': 8464, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70339807
{'hecke_orbit_code': 171136785873641744, 'n': 1, 'trace_an': 4}
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id: 70339808
{'hecke_orbit_code': 171136785873641744, 'n': 2, 'trace_an': 0}
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id: 70339809
{'hecke_orbit_code': 171136785873641744, 'n': 3, 'trace_an': 0}
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id: 70339810
{'hecke_orbit_code': 171136785873641744, 'n': 4, 'trace_an': 0}
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id: 70339811
{'hecke_orbit_code': 171136785873641744, 'n': 5, 'trace_an': 0}
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id: 70339812
{'hecke_orbit_code': 171136785873641744, 'n': 6, 'trace_an': 0}
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id: 70339813
{'hecke_orbit_code': 171136785873641744, 'n': 7, 'trace_an': 0}
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id: 70339814
{'hecke_orbit_code': 171136785873641744, 'n': 8, 'trace_an': 0}
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id: 70339815
{'hecke_orbit_code': 171136785873641744, 'n': 9, 'trace_an': 8}
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id: 70339816
{'hecke_orbit_code': 171136785873641744, 'n': 10, 'trace_an': 0}
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id: 70339817
{'hecke_orbit_code': 171136785873641744, 'n': 11, 'trace_an': 0}
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id: 70339818
{'hecke_orbit_code': 171136785873641744, 'n': 12, 'trace_an': 0}
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id: 70339819
{'hecke_orbit_code': 171136785873641744, 'n': 13, 'trace_an': -16}
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id: 70339820
{'hecke_orbit_code': 171136785873641744, 'n': 14, 'trace_an': 0}
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id: 70339821
{'hecke_orbit_code': 171136785873641744, 'n': 15, 'trace_an': 0}
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id: 70339822
{'hecke_orbit_code': 171136785873641744, 'n': 16, 'trace_an': 0}
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id: 70339823
{'hecke_orbit_code': 171136785873641744, 'n': 17, 'trace_an': 0}
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id: 70339824
{'hecke_orbit_code': 171136785873641744, 'n': 18, 'trace_an': 0}
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id: 70339825
{'hecke_orbit_code': 171136785873641744, 'n': 19, 'trace_an': 0}
-
id: 70339826
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id: 70340021
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id: 70340022
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id: 70340023
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id: 70340024
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id: 70340025
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id: 70340026
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id: 70340027
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id: 70340028
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id: 70340029
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id: 70340030
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id: 70340031
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id: 70340032
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id: 70340033
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id: 70340034
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id: 70340035
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id: 70340036
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id: 70340037
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id: 70340038
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id: 70340039
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id: 70340040
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id: 70340041
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id: 70340042
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id: 70340043
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id: 70340044
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id: 70340045
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id: 70340046
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id: 70340047
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id: 70340048
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id: 70340049
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id: 70340050
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id: 70340051
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id: 70340052
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id: 70340053
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id: 70340054
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id: 70340055
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id: 70340056
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id: 70340057
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id: 70340058
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id: 70340059
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id: 70340060
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id: 70340061
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id: 70340062
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id: 70340063
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id: 70340064
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