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{'Nk2': 19360, 'analytic_conductor': 38.6475945782997, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [11, 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': [4840, 1, [3631, 2421, 1937, 4721], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 568, 'field_disc_factorization': [[2, 3], [71, 1]], 'field_poly': [-2, -6, -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, -8, 1, 1]], [7, [4, -8, -1, 1]], [13, [-64, -40, 0, 1]]], 'hecke_orbit': 18, 'hecke_orbit_code': 76561193698857704, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': True, 'label': '4840.2.a.r', 'level': 4840, '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, 5, 11], 'level_radical': 110, 'minimal_twist': '4840.2.a.q', 'nf_label': '3.3.568.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{2}q^{3}+q^{5}-\\beta _{2}q^{7}+(3-\\beta _{1})q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4840.2.a', 'trace_display': [0, -1, 3, 1], 'trace_hash': 1466959322760282691, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_newspaces • Show schema
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{'ALdims': [12, 15, 17, 10, 12, 15, 13, 15], 'Nk2': 19360, 'analytic_conductor': 38.6475945782997, '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': [4840, 1, [3631, 2421, 1937, 4721], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 745, 'dim': 109, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 33559272, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 8, 8], 'label': '4840.2.a', 'level': 4840, '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, 5, 11], 'level_radical': 110, 'mf_dim': 840, 'mf_new_dim': 109, 'num_forms': 34, 'plus_dim': 50, 'prim_orbit_index': 1, 'relative_dim': 109, 'sturm_bound': 1584, 'trace_bound': 13, 'trace_display': [0, -4, 1, -4], 'traces': [109, 0, -4, 0, 1, 0, -4, 0, 117, 0, 0, 0, -6, 0, 0, 0, -2, 0, -12, 0, -16, 0, -4, 0, 109, 0, -16, 0, -10, 0, -24, 0, 0, 0, 4, 0, -10, 0, 16, 0, 18, 0, -8, 0, -3, 0, 20, 0, 105, 0, 16, 0, 14, 0, 0, 0, 16, 0, 12, 0, 6, 0, -20, 0, 2, 0, -4, 0, 16, 0, -16, 0, 6, 0, -4, 0, 0, 0, 16, 0, 101, 0, 16, 0, -2, 0, 40, 0, 18, 0, -16, 0, 0, 0, 4, 0, 30, 0, 0, 0, 6, 0, -4, 0, -8, 0, 24, 0, -18, 0, 8, 0, 14, 0, -16, 0, 18, 0, 16, 0, 0, 0, 56, 0, 1, 0, 12, 0, 32, 0, 4, 0, 0, 0, 0, 0, 30, 0, -4, 0, 24, 0, 0, 0, 14, 0, 4, 0, 38, 0, -40, 0, -10, 0, -8, 0, -26, 0, 24, 0, -24, 0, -52, 0, 0, 0, -28, 0, 79, 0, -4, 0, 18, 0, -4, 0, -80, 0, -28, 0, -10, 0, -8, 0, 10, 0, 0, 0, -32, 0, -40, 0, 14, 0, 24, 0, 10, 0, -16, 0, -24, 0, 24, 0, -30, 0, -28, 0, 0, 0, -12, 0, -8, 0, -8, 0, -64, 0, -72, 0, -12, 0, -12, 0, 117, 0, 72, 0, -34, 0, 0, 0, -66, 0, 0, 0, -32, 0, -72, 0, 10, 0, 248, 0, -7, 0, -136, 0, 56, 0, 280, 0, 0, 0, -48, 0, 94, 0, -64, 0, -18, 0, 12, 0, 2, 0, 188, 0, -42, 0, -56, 0, -8, 0, 0, 0, 50, 0, -40, 0, 18, 0, -24, 0, 32, 0, 56, 0, 99, 0, 284, 0, 18, 0, 12, 0, 0, 0, 48, 0, -32, 0, -24, 0, -34, 0, -48, 0, 96, 0, 24, 0, -58, 0, 28, 0, 22, 0, 0, 0, -8, 0, 220, 0, -6, 0, 72, 0, 32, 0, 20, 0, 6, 0, -32, 0, -66, 0, 40, 0, 0, 0, -56, 0, 24, 0, 24, 0, 6, 0, 40, 0, 38, 0, -16, 0, 176, 0, -72, 0, 89, 0, 0, 0, 22, 0, -420, 0, 106, 0, 64, 0, -22, 0, 0, 0, -36, 0, -308, 0, 16, 0, 140, 0, 0, 0, -120, 0, 30, 0, 40, 0, 32, 0, 24, 0, -74, 0, -432, 0, 10, 0, 32, 0, -23, 0, 0, 0, -14, 0, 236, 0, 80, 0, 56, 0, 96, 0, -36, 0, 22, 0, 76, 0, -2, 0, -384, 0, 0, 0, 64, 0, -26, 0, 48, 0, -96, 0, -16, 0, 169, 0, -44, 0, 42, 0, 40, 0, -22, 0, 0, 0, 0, 0, -32, 0, -82, 0, -56, 0, 14, 0, -428, 0, 16, 0, 32, 0, 64, 0, -104, 0, 0, 0, -12, 0, 62, 0, -96, 0, 68, 0, 0, 0, 10, 0, 76, 0, -128, 0, 68, 0, 44, 0, 0, 0, 32, 0, -4, 0, -32, 0, -28, 0, 6, 0, -460, 0, 22, 0, 8, 0, -16, 0, -24, 0, 0, 0, 8, 0, 58, 0, -32, 0, -16, 0, 16, 0, 161, 0, 144, 0, -68, 0, 32, 0, -8, 0, 0, 0, -2, 0, -8, 0, -34, 0, 136, 0, 30, 0, 16, 0, 8, 0, -72, 0, -126, 0, -408, 0, 0, 0, 136, 0, 26, 0, 76, 0, 18, 0, -60, 0, -80, 0, -4, 0, 174, 0, 0, 0, -8, 0, 0, 0, 66, 0, -92, 0, 112, 0, -48, 0, -34, 0, 16, 0, -64, 0, 144, 0, 34, 0, 72, 0, 0, 0, -132, 0, 120, 0, -128, 0, 42, 0, -40, 0, -66, 0, -484, 0, 192, 0, -88, 0, 109, 0, 0, 0, -140, 0, 48, 0, -16, 0, 44, 0, 42, 0, -128, 0, 146, 0, 44, 0, -32, 0, -100, 0, 0, 0, -8, 0, -50, 0, 4, 0, -178, 0, -52, 0, 94, 0, 32, 0, 80, 0, 48, 0, 176, 0, 0, 0, 14, 0, -16, 0, -142, 0, -80, 0, -80, 0, 192, 0, -22, 0, -728, 0, 4, 0, 60, 0, 0, 0, -52, 0, -4, 0, -96, 0, 102, 0, -72, 0, 160, 0, 112, 0, -186, 0, -8, 0, -56, 0, 0, 0, 160, 0, 56, 0, 40, 0, -264, 0, -10, 0, 12, 0, 237, 0, -56, 0, 34, 0, 32, 0, 0, 0, 132, 0, -128, 0, -84, 0, -34, 0, 16, 0, 184, 0, 40, 0, -32, 0, 0, 0, 38, 0, 0, 0, 26, 0, -312, 0, -42, 0, 40, 0, -6, 0, 180, 0, 38, 0, -24, 0, -16, 0, 16, 0, 0, 0, 16, 0, 18, 0, 144, 0, 128, 0, 40, 0, 12, 0, 32, 0, 158, 0, -80, 0, 266, 0, 0, 0, 64, 0, -8, 0, 74, 0, 68, 0, 0, 0, 24, 0, 80, 0, 288, 0, -130, 0, 68, 0, 0, 0, -120, 0, 46, 0, 128, 0, 174, 0, 28, 0, -72, 0, -24, 0, 75, 0, -56, 0, 7, 0, 0, 0, -152, 0, -80, 0, 10, 0, 92, 0, -90, 0, -20, 0, 280, 0, 92, 0, -30, 0, 256, 0, 0, 0, 120, 0, -10, 0, 4, 0, -94, 0, 8, 0, -62, 0, -4, 0, 96, 0, 196, 0, 32, 0, 0, 0, -128, 0, -36, 0, -96, 0, -88, 0, 52, 0, 24, 0, -58, 0, -140, 0, 126, 0, -208, 0, 0, 0, -32, 0, 184, 0, -8, 0, 64, 0, 256, 0, -10, 0, -4, 0, 42, 0, -84, 0, 16, 0, 0, 0, 206, 0, -400, 0, 110, 0, 64, 0, 24, 0, 92, 0, 100, 0, -24, 0, 62, 0, -56, 0, 0, 0, 216, 0, 93, 0, 72, 0, -82, 0, 52, 0, -492, 0, 296, 0, -16, 0, 16, 0, -534, 0, 0, 0, -106, 0, 4, 0, 2, 0, 208, 0, -64, 0, 40, 0, -676, 0, -104, 0, 26, 0, -32, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48101035
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857704, 'source_is_minimal': True, 'source_label': '4840.2.a.r.1.2', 'source_level': 4840, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561193698857704, 'target_is_minimal': True, 'target_label': '4840.2.a.r.1.2', 'target_level': 4840, 'twist_class_label': '4840.2.a.q.1.2', 'twist_class_level': 4840, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48101036
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857704, 'source_is_minimal': True, 'source_label': '4840.2.a.r.1.2', 'source_level': 4840, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 261208778421052880, 'target_is_minimal': False, 'target_label': '9680.2.a.cg.1.2', 'target_level': 9680, 'twist_class_label': '4840.2.a.q.1.2', 'twist_class_level': 4840, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48101037
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857704, 'source_is_minimal': True, 'source_label': '4840.2.a.r.1.2', 'source_level': 4840, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594071487208, 'target_is_minimal': True, 'target_label': '4840.2.a.q.1.2', 'target_level': 4840, 'twist_class_label': '4840.2.a.q.1.2', 'twist_class_level': 4840, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 48101038
{'conductor': 44, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857704, 'source_is_minimal': True, 'source_label': '4840.2.a.r.1.2', 'source_level': 4840, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 265712378048423376, 'target_is_minimal': False, 'target_label': '9680.2.a.ch.1.2', 'target_level': 9680, 'twist_class_label': '4840.2.a.q.1.2', 'twist_class_level': 4840, 'twisting_char_label': '44.43', 'twisting_conrey_index': 43, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3721450
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 76561193698857704, 'p': 2}
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id: 3721451
{'charpoly_factorization': [[[-4, -8, 1, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 3}
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id: 3721452
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 76561193698857704, 'p': 5}
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id: 3721453
{'charpoly_factorization': [[[4, -8, -1, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 7}
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id: 3721454
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 76561193698857704, 'p': 11}
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id: 3721455
{'charpoly_factorization': [[[-64, -40, 0, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 13}
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id: 3721456
{'charpoly_factorization': [[[-8, 8, 7, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 17}
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id: 3721457
{'charpoly_factorization': [[[16, -40, 3, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 19}
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id: 3721458
{'charpoly_factorization': [[[-64, -20, 4, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 23}
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id: 3721459
{'charpoly_factorization': [[[-64, -16, 5, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 29}
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id: 3721460
{'charpoly_factorization': [[[16, 72, 17, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 31}
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id: 3721461
{'charpoly_factorization': [[[-20, -24, -1, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 37}
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id: 3721462
{'charpoly_factorization': [[[32, -32, -2, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 41}
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id: 3721463
{'charpoly_factorization': [[[-16, 60, 16, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 43}
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id: 3721464
{'charpoly_factorization': [[[-8, -28, 6, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 47}
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id: 3721465
{'charpoly_factorization': [[[-20, -24, -1, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 53}
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id: 3721466
{'charpoly_factorization': [[[128, -96, 4, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 59}
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id: 3721467
{'charpoly_factorization': [[[-976, -88, 11, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 61}
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id: 3721468
{'charpoly_factorization': [[[-976, -36, 16, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 67}
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id: 3721469
{'charpoly_factorization': [[[-512, -128, -1, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 71}
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id: 3721470
{'charpoly_factorization': [[[-176, 136, -22, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 73}
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id: 3721471
{'charpoly_factorization': [[[12, 1], 3]], 'hecke_orbit_code': 76561193698857704, 'p': 79}
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id: 3721472
{'charpoly_factorization': [[[880, -228, 0, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 83}
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id: 3721473
{'charpoly_factorization': [[[604, -184, 3, 1], 1]], 'hecke_orbit_code': 76561193698857704, 'p': 89}
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id: 3721474
{'charpoly_factorization': [[[-6, 1], 3]], 'hecke_orbit_code': 76561193698857704, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 18, 'label': '4840.2.a.r', 'level': 4840, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 62322715
{'hecke_orbit_code': 76561193698857704, 'n': 1, 'trace_an': 3}
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id: 62322716
{'hecke_orbit_code': 76561193698857704, 'n': 2, 'trace_an': 0}
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id: 62322717
{'hecke_orbit_code': 76561193698857704, 'n': 3, 'trace_an': -1}
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id: 62322718
{'hecke_orbit_code': 76561193698857704, 'n': 4, 'trace_an': 0}
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id: 62322719
{'hecke_orbit_code': 76561193698857704, 'n': 5, 'trace_an': 3}
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id: 62322720
{'hecke_orbit_code': 76561193698857704, 'n': 6, 'trace_an': 0}
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id: 62322721
{'hecke_orbit_code': 76561193698857704, 'n': 7, 'trace_an': 1}
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id: 62322722
{'hecke_orbit_code': 76561193698857704, 'n': 8, 'trace_an': 0}
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id: 62322723
{'hecke_orbit_code': 76561193698857704, 'n': 9, 'trace_an': 8}
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id: 62322724
{'hecke_orbit_code': 76561193698857704, 'n': 10, 'trace_an': 0}
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id: 62322725
{'hecke_orbit_code': 76561193698857704, 'n': 11, 'trace_an': 0}
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id: 62322726
{'hecke_orbit_code': 76561193698857704, 'n': 12, 'trace_an': 0}
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id: 62322727
{'hecke_orbit_code': 76561193698857704, 'n': 13, 'trace_an': 0}
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