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{'Nk2': 13376, 'analytic_conductor': 26.70197443591616, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [11, 1], [19, -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': [3344, 1, [2927, 837, 2433, 705], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -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': [[3, [-4, 1, 1]], [5, [-2, 1]], [7, [-2, 3, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307262736, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3344.2.a.k', 'level': 3344, '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, 11, 19], 'level_radical': 418, 'minimal_twist': '418.2.a.e', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{3}+2q^{5}+(-2+\\beta )q^{7}+(1+\\beta )q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3344.2.a', 'trace_display': [0, -1, 4, -3], 'trace_hash': 346426205594332796, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.021', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_newspaces • Show schema
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{'ALdims': [10, 15, 12, 7, 14, 9, 9, 14], 'Nk2': 13376, 'analytic_conductor': 26.70197443591616, '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': [3344, 1, [2927, 837, 2433, 705], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 469, 'dim': 90, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33557776, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 7, 9], 'label': '3344.2.a', 'level': 3344, '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, 11, 19], 'level_radical': 418, 'mf_dim': 492, 'mf_new_dim': 90, 'num_forms': 28, 'plus_dim': 35, 'prim_orbit_index': 1, 'relative_dim': 90, 'sturm_bound': 960, 'trace_bound': 7, 'trace_display': [0, 0, 4, 0], 'traces': [90, 0, 0, 0, 4, 0, 0, 0, 90, 0, -6, 0, 4, 0, -12, 0, -4, 0, 0, 0, 16, 0, 12, 0, 86, 0, 12, 0, 20, 0, 0, 0, 0, 0, 0, 0, 20, 0, 24, 0, -4, 0, 0, 0, 36, 0, 8, 0, 90, 0, 40, 0, 4, 0, 8, 0, 0, 0, 40, 0, 20, 0, 40, 0, -24, 0, 0, 0, 16, 0, 16, 0, -20, 0, -12, 0, 0, 0, 0, 0, 74, 0, 40, 0, 24, 0, 24, 0, -36, 0, 16, 0, -48, 0, 0, 0, -4, 0, -18, 0, -12, 0, -36, 0, 32, 0, 0, 0, 20, 0, 60, 0, 28, 0, 4, 0, -28, 0, 8, 0, 90, 0, 104, 0, 24, 0, 64, 0, 32, 0, -48, 0, 0, 0, 44, 0, -4, 0, 0, 0, -32, 0, 0, 0, -40, 0, 104, 0, 20, 0, -48, 0, 52, 0, 84, 0, 20, 0, 40, 0, 8, 0, 32, 0, 0, 0, 0, 0, 102, 0, 0, 0, -44, 0, 144, 0, 32, 0, -72, 0, 68, 0, 80, 0, 0, 0, -12, 0, -16, 0, 68, 0, 12, 0, 184, 0, -44, 0, -8, 0, -16, 0, 48, 0, 104, 0, 128, 0, 0, 0, 136, 0, -128, 0, 24, 0, 32, 0, 104, 0, 24, 0, 128, 0, 94, 0, 80, 0, 20, 0, 0, 0, 20, 0, 48, 0, -80, 0, -48, 0, 12, 0, 76, 0, 20, 0, 12, 0, 16, 0, -116, 0, 0, 0, 0, 0, -60, 0, 32, 0, 20, 0, 152, 0, -40, 0, -204, 0, -92, 0, -24, 0, 104, 0, -30, 0, 36, 0, -36, 0, -36, 0, -24, 0, 0, 0, -192, 0, 134, 0, -4, 0, 4, 0, -132, 0, -24, 0, 24, 0, 16, 0, 72, 0, -72, 0, 16, 0, -32, 0, 8, 0, 28, 0, 64, 0, 20, 0, 0, 0, -56, 0, -24, 0, 108, 0, 8, 0, 0, 0, -72, 0, 100, 0, 44, 0, 12, 0, -180, 0, -32, 0, -72, 0, -72, 0, 200, 0, 116, 0, -96, 0, 28, 0, -196, 0, -48, 0, -72, 0, 90, 0, 0, 0, 40, 0, 52, 0, -212, 0, 64, 0, 100, 0, 28, 0, -96, 0, -32, 0, 0, 0, 48, 0, 32, 0, 56, 0, 20, 0, -72, 0, -16, 0, -96, 0, 52, 0, 32, 0, -108, 0, 64, 0, 116, 0, 0, 0, 44, 0, 92, 0, -80, 0, 144, 0, -112, 0, -192, 0, 68, 0, -216, 0, -140, 0, 96, 0, 32, 0, -24, 0, 44, 0, -184, 0, 0, 0, -72, 0, -30, 0, -28, 0, -88, 0, -144, 0, -84, 0, 0, 0, -144, 0, 24, 0, 108, 0, 0, 0, 36, 0, 68, 0, 8, 0, -4, 0, -80, 0, -228, 0, 0, 0, 0, 0, -188, 0, -64, 0, -40, 0, -448, 0, -120, 0, 0, 0, -112, 0, -96, 0, -24, 0, 28, 0, -16, 0, 128, 0, -64, 0, -216, 0, -8, 0, -112, 0, 68, 0, 248, 0, 24, 0, 96, 0, 0, 0, -184, 0, 12, 0, 144, 0, -192, 0, 120, 0, 186, 0, -36, 0, 8, 0, -216, 0, -136, 0, -38, 0, 116, 0, -116, 0, -56, 0, 112, 0, 164, 0, 52, 0, 64, 0, -52, 0, -44, 0, 112, 0, 0, 0, -184, 0, -104, 0, 208, 0, 12, 0, -120, 0, 64, 0, -80, 0, -36, 0, 216, 0, 80, 0, -36, 0, -168, 0, -136, 0, 0, 0, -40, 0, -76, 0, 16, 0, -32, 0, -180, 0, -68, 0, -196, 0, 4, 0, 224, 0, -88, 0, 16, 0, -44, 0, -208, 0, -68, 0, -36, 0, 96, 0, -224, 0, 34, 0, -12, 0, 56, 0, -52, 0, 120, 0, 88, 0, -76, 0, 20, 0, 44, 0, 44, 0, -304, 0, 76, 0, 0, 0, -48, 0, 68, 0, -40, 0, -156, 0, -112, 0, -140, 0, -88, 0, 0, 0, 184, 0, 64, 0, 36, 0, -36, 0, 80, 0, 100, 0, 176, 0, 8, 0, -20, 0, -40, 0, 100, 0, 0, 0, -4, 0, 0, 0, 0, 0, -120, 0, -64, 0, -92, 0, 0, 0, -128, 0, -32, 0, 132, 0, 192, 0, -8, 0, 0, 0, -192, 0, 180, 0, -80, 0, -8, 0, 204, 0, 36, 0, -102, 0, -64, 0, -60, 0, -116, 0, 0, 0, -168, 0, 0, 0, -328, 0, -88, 0, 120, 0, 64, 0, -112, 0, -200, 0, 56, 0, -60, 0, -60, 0, -228, 0, 88, 0, -280, 0, -120, 0, 12, 0, 48, 0, -140, 0, -100, 0, -208, 0, -60, 0, 0, 0, 32, 0, -144, 0, -96, 0, -80, 0, -144, 0, -24, 0, -344, 0, -44, 0, 64, 0, -268, 0, -60, 0, -288, 0, -144, 0, -100, 0, -128, 0, -160, 0, 0, 0, 32, 0, 232, 0, -140, 0, 52, 0, -72, 0, 64, 0, 4, 0, 64, 0, -172, 0, -72, 0, -168, 0, -128, 0, 70, 0, -160, 0, -284, 0, 0, 0, 16, 0, 12, 0, 132, 0, 0, 0, 108, 0, 20, 0, 56, 0, 4, 0, -24, 0, -64, 0, 0, 0, 72, 0, -172, 0, -400, 0, -172, 0, 24, 0, 84, 0, 40, 0, -200, 0, 136, 0, -16, 0, -54, 0, 16, 0, -228, 0, -8, 0, -144, 0, 248, 0, -216, 0, -96, 0, 124, 0, 68, 0, -164, 0, 0, 0, 200, 0, -216, 0, -40, 0, 32, 0, -64, 0, 156, 0, -564, 0, -156, 0, 0, 0, -128, 0, 56, 0, 108, 0, -92, 0, 196, 0, 80, 0, 16, 0, -300, 0, -8, 0, 60, 0, 60, 0, 76, 0, 40, 0, -24, 0, 250, 0, -264, 0, -8, 0, -32, 0, -24, 0, 176, 0, 48, 0, 464, 0, -132, 0, 80, 0, 228, 0, -88, 0, 120, 0, 32, 0, -32, 0, -228, 0, 32, 0, -176, 0, -188, 0, -36, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47058901
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262736, 'source_is_minimal': False, 'source_label': '3344.2.a.k.1.1', 'source_level': 3344, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307262736, 'target_is_minimal': False, 'target_label': '3344.2.a.k.1.1', 'target_level': 3344, 'twist_class_label': '418.2.a.e.1.2', 'twist_class_level': 418, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47058902
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262736, 'source_is_minimal': False, 'source_label': '3344.2.a.k.1.1', 'source_level': 3344, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543036834, 'target_is_minimal': True, 'target_label': '418.2.a.e.1.2', 'target_level': 418, 'twist_class_label': '418.2.a.e.1.2', 'twist_class_level': 418, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47058903
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262736, 'source_is_minimal': False, 'source_label': '3344.2.a.k.1.1', 'source_level': 3344, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090450098, 'target_is_minimal': False, 'target_label': '3762.2.a.y.1.1', 'target_level': 3762, 'twist_class_label': '418.2.a.e.1.2', 'twist_class_level': 418, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47058904
{'conductor': 44, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262736, 'source_is_minimal': False, 'source_label': '3344.2.a.k.1.1', 'source_level': 3344, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 157625986991526390, 'target_is_minimal': False, 'target_label': '4598.2.a.bj.1.2', 'target_level': 4598, 'twist_class_label': '418.2.a.e.1.2', 'twist_class_level': 418, 'twisting_char_label': '44.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 47058905
{'conductor': 76, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262736, 'source_is_minimal': False, 'source_label': '3344.2.a.k.1.1', 'source_level': 3344, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463083782, 'target_is_minimal': False, 'target_label': '7942.2.a.x.1.1', 'target_level': 7942, 'twist_class_label': '418.2.a.e.1.2', 'twist_class_level': 418, 'twisting_char_label': '76.75', 'twisting_conrey_index': 75, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3133275
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45035996307262736, 'p': 2}
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id: 3133276
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 45035996307262736, 'p': 3}
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id: 3133277
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 45035996307262736, 'p': 5}
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id: 3133278
{'charpoly_factorization': [[[-2, 3, 1], 1]], 'hecke_orbit_code': 45035996307262736, 'p': 7}
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id: 3133279
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 45035996307262736, 'p': 11}
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id: 3133280
{'charpoly_factorization': [[[-2, 3, 1], 1]], 'hecke_orbit_code': 45035996307262736, 'p': 13}
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id: 3133281
{'charpoly_factorization': [[[-2, -3, 1], 1]], 'hecke_orbit_code': 45035996307262736, 'p': 17}
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id: 3133282
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 45035996307262736, 'p': 19}
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id: 3133283
{'charpoly_factorization': [[[8, 7, 1], 1]], 'hecke_orbit_code': 45035996307262736, 'p': 23}
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id: 3133284
{'charpoly_factorization': [[[-38, -1, 1], 1]], 'hecke_orbit_code': 45035996307262736, 'p': 29}
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id: 3133285
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 45035996307262736, 'p': 31}
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id: 3133286
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 45035996307262736, 'p': 37}
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id: 3133287
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 45035996307262736, 'p': 41}
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id: 3133288
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45035996307262736, 'p': 43}
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id: 3133289
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 45035996307262736, 'p': 47}
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id: 3133290
{'charpoly_factorization': [[[-100, -5, 1], 1]], 'hecke_orbit_code': 45035996307262736, 'p': 53}
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id: 3133291
{'charpoly_factorization': [[[-36, -3, 1], 1]], 'hecke_orbit_code': 45035996307262736, 'p': 59}
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id: 3133292
{'charpoly_factorization': [[[-64, 4, 1], 1]], 'hecke_orbit_code': 45035996307262736, 'p': 61}
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id: 3133293
{'charpoly_factorization': [[[-36, -3, 1], 1]], 'hecke_orbit_code': 45035996307262736, 'p': 67}
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id: 3133294
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 45035996307262736, 'p': 71}
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id: 3133295
{'charpoly_factorization': [[[-26, 7, 1], 1]], 'hecke_orbit_code': 45035996307262736, 'p': 73}
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id: 3133296
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 45035996307262736, 'p': 79}
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id: 3133297
{'charpoly_factorization': [[[-32, 12, 1], 1]], 'hecke_orbit_code': 45035996307262736, 'p': 83}
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id: 3133298
{'charpoly_factorization': [[[8, 10, 1], 1]], 'hecke_orbit_code': 45035996307262736, 'p': 89}
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id: 3133299
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 45035996307262736, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '3344.2.a.k', 'level': 3344, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 54369091
{'hecke_orbit_code': 45035996307262736, 'n': 1, 'trace_an': 2}
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id: 54369092
{'hecke_orbit_code': 45035996307262736, 'n': 2, 'trace_an': 0}
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id: 54369093
{'hecke_orbit_code': 45035996307262736, 'n': 3, 'trace_an': -1}
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id: 54369094
{'hecke_orbit_code': 45035996307262736, 'n': 4, 'trace_an': 0}
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id: 54369095
{'hecke_orbit_code': 45035996307262736, 'n': 5, 'trace_an': 4}
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id: 54369096
{'hecke_orbit_code': 45035996307262736, 'n': 6, 'trace_an': 0}
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id: 54369097
{'hecke_orbit_code': 45035996307262736, 'n': 7, 'trace_an': -3}
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id: 54369098
{'hecke_orbit_code': 45035996307262736, 'n': 8, 'trace_an': 0}
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id: 54369099
{'hecke_orbit_code': 45035996307262736, 'n': 9, 'trace_an': 3}
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