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{'Nk2': 19360, 'analytic_conductor': 38.6475945782997, 'analytic_rank': 0, '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': 6, 'field_disc': 22733568, 'field_disc_factorization': [[2, 8], [3, 3], [11, 1], [13, 1], [23, 1]], 'field_poly': [-2, 8, 16, -2, -8, 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': 0, 'hecke_cutters': [[3, [-11, 10, 23, -12, -9, 2, 1]], [7, [313, -440, 71, 84, -21, -4, 1]], [13, [16, 64, 64, -16, -32, 0, 1]]], 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227303656, 'hecke_ring_generator_nbound': 7, '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.bd', '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.bc', 'nf_label': '6.6.22733568.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{3}+q^{5}+(\\beta _{3}+\\beta _{4})q^{7}+(-\\beta _{1}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4840.2.a', 'trace_display': [0, -2, 6, 4], 'trace_hash': 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mf_newspaces • Show schema
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{'ALdims': [12, 15, 17, 10, 12, 15, 13, 15], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [79, 80, 79, 81, 84, 76, 77, 80], '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: 48700700
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 130604389227303656, 'source_is_minimal': True, 'source_label': '4840.2.a.bd.1.1', 'source_level': 4840, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 130604389227303656, 'target_is_minimal': True, 'target_label': '4840.2.a.bd.1.1', 'target_level': 4840, 'twist_class_label': '4840.2.a.bc.1.1', 'twist_class_level': 4840, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48700701
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 130604389227303656, 'source_is_minimal': True, 'source_label': '4840.2.a.bd.1.1', 'source_level': 4840, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 351280770968462800, 'target_is_minimal': False, 'target_label': '9680.2.a.da.1.6', 'target_level': 9680, 'twist_class_label': '4840.2.a.bc.1.1', 'twist_class_level': 4840, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48700702
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 130604389227303656, 'source_is_minimal': True, 'source_label': '4840.2.a.bd.1.1', 'source_level': 4840, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599933160, 'target_is_minimal': True, 'target_label': '4840.2.a.bc.1.1', 'target_level': 4840, 'twist_class_label': '4840.2.a.bc.1.1', 'twist_class_level': 4840, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 48700703
{'conductor': 44, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 130604389227303656, 'source_is_minimal': True, 'source_label': '4840.2.a.bd.1.1', 'source_level': 4840, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 355784370595833296, 'target_is_minimal': False, 'target_label': '9680.2.a.db.1.6', 'target_level': 9680, 'twist_class_label': '4840.2.a.bc.1.1', '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: 3721775
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 130604389227303656, 'p': 2}
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id: 3721776
{'charpoly_factorization': [[[-11, 10, 23, -12, -9, 2, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 3}
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id: 3721777
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 130604389227303656, 'p': 5}
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id: 3721778
{'charpoly_factorization': [[[313, -440, 71, 84, -21, -4, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 7}
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id: 3721779
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 130604389227303656, 'p': 11}
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id: 3721780
{'charpoly_factorization': [[[16, 64, 64, -16, -32, 0, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 13}
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id: 3721781
{'charpoly_factorization': [[[256, -1024, 0, 192, -16, -8, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 17}
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id: 3721782
{'charpoly_factorization': [[[-176, 704, -560, 112, 28, -12, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 19}
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id: 3721783
{'charpoly_factorization': [[[-9776, 6592, 1232, -456, -60, 8, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 23}
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id: 3721784
{'charpoly_factorization': [[[-5888, 11776, -7104, 1344, -16, -16, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 29}
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id: 3721785
{'charpoly_factorization': [[[-368, 288, 976, -40, -80, 4, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 31}
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id: 3721786
{'charpoly_factorization': [[[3328, -9984, 1216, 608, -80, -8, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 37}
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id: 3721787
{'charpoly_factorization': [[[-70187, 38480, -4285, -1200, 351, -32, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 41}
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id: 3721788
{'charpoly_factorization': [[[9097, 5280, -425, -700, -101, 4, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 43}
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id: 3721789
{'charpoly_factorization': [[[277, 1750, 1231, -268, -65, 6, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 47}
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id: 3721790
{'charpoly_factorization': [[[89296, -46848, 3232, 1496, -176, -8, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 53}
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id: 3721791
{'charpoly_factorization': [[[-221168, 13248, 17728, 376, -248, -4, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 59}
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id: 3721792
{'charpoly_factorization': [[[252013, -87392, -1917, 2640, -121, -16, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 61}
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id: 3721793
{'charpoly_factorization': [[[-1315739, 2802, 38287, -212, -353, 2, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 67}
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id: 3721794
{'charpoly_factorization': [[[-10736, 35072, -11104, -2040, 120, 28, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 71}
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id: 3721795
{'charpoly_factorization': [[[212992, -106496, 5120, 3072, -192, -16, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 73}
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id: 3721796
{'charpoly_factorization': [[[19008, 17280, 3888, -288, -132, 0, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 79}
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id: 3721797
{'charpoly_factorization': [[[927952, -325440, 14592, 3952, -288, -12, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 83}
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id: 3721798
{'charpoly_factorization': [[[75673, -159890, -10721, 6212, -281, -18, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 89}
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id: 3721799
{'charpoly_factorization': [[[103248, -65664, 9216, 1080, -240, 0, 1], 1]], 'hecke_orbit_code': 130604389227303656, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 30, 'label': '4840.2.a.bd', '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: 68232463
{'hecke_orbit_code': 130604389227303656, 'n': 1, 'trace_an': 6}
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id: 68232464
{'hecke_orbit_code': 130604389227303656, 'n': 2, 'trace_an': 0}
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id: 68232465
{'hecke_orbit_code': 130604389227303656, 'n': 3, 'trace_an': -2}
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id: 68232466
{'hecke_orbit_code': 130604389227303656, 'n': 4, 'trace_an': 0}
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id: 68232467
{'hecke_orbit_code': 130604389227303656, 'n': 5, 'trace_an': 6}
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id: 68232468
{'hecke_orbit_code': 130604389227303656, 'n': 6, 'trace_an': 0}
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id: 68232469
{'hecke_orbit_code': 130604389227303656, 'n': 7, 'trace_an': 4}
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id: 68232470
{'hecke_orbit_code': 130604389227303656, 'n': 8, 'trace_an': 0}
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id: 68232471
{'hecke_orbit_code': 130604389227303656, 'n': 9, 'trace_an': 4}
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id: 68232472
{'hecke_orbit_code': 130604389227303656, 'n': 10, 'trace_an': 0}
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id: 68232473
{'hecke_orbit_code': 130604389227303656, 'n': 11, 'trace_an': 0}
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id: 68232474
{'hecke_orbit_code': 130604389227303656, 'n': 12, 'trace_an': 0}
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id: 68232475
{'hecke_orbit_code': 130604389227303656, 'n': 13, 'trace_an': 0}
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id: 68232476
{'hecke_orbit_code': 130604389227303656, 'n': 14, 'trace_an': 0}
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id: 68232477
{'hecke_orbit_code': 130604389227303656, 'n': 15, 'trace_an': -2}
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id: 68232478
{'hecke_orbit_code': 130604389227303656, 'n': 16, 'trace_an': 0}
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id: 68232479
{'hecke_orbit_code': 130604389227303656, 'n': 17, 'trace_an': 8}
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id: 68232480
{'hecke_orbit_code': 130604389227303656, 'n': 18, 'trace_an': 0}
-
id: 68232481
{'hecke_orbit_code': 130604389227303656, 'n': 19, 'trace_an': 12}
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id: 68232482
{'hecke_orbit_code': 130604389227303656, 'n': 20, 'trace_an': 0}
-
id: 68232483
{'hecke_orbit_code': 130604389227303656, 'n': 21, 'trace_an': -8}
-
id: 68232484
{'hecke_orbit_code': 130604389227303656, 'n': 22, 'trace_an': 0}
-
id: 68232485
{'hecke_orbit_code': 130604389227303656, 'n': 23, 'trace_an': -8}
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id: 68232486
{'hecke_orbit_code': 130604389227303656, 'n': 24, 'trace_an': 0}
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id: 68232487
{'hecke_orbit_code': 130604389227303656, 'n': 25, 'trace_an': 6}
-
id: 68232488
{'hecke_orbit_code': 130604389227303656, 'n': 26, 'trace_an': 0}
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id: 68232489
{'hecke_orbit_code': 130604389227303656, 'n': 27, 'trace_an': -14}
-
id: 68232490
{'hecke_orbit_code': 130604389227303656, 'n': 28, 'trace_an': 0}
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id: 68232491
{'hecke_orbit_code': 130604389227303656, 'n': 29, 'trace_an': 16}
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id: 68232492
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