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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': 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': 29, 'hecke_orbit_code': 126100789599933160, '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': True, '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.bc', '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': 491587996953361319, 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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: 48671609
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 126100789599933160, 'source_is_minimal': True, 'source_label': '4840.2.a.bc.1.2', 'source_level': 4840, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126100789599933160, 'target_is_minimal': True, 'target_label': '4840.2.a.bc.1.2', 'target_level': 4840, 'twist_class_label': '4840.2.a.bc.1.2', 'twist_class_level': 4840, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48671610
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 126100789599933160, 'source_is_minimal': True, 'source_label': '4840.2.a.bc.1.2', 'source_level': 4840, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 355784370595833296, 'target_is_minimal': False, 'target_label': '9680.2.a.db.1.5', 'target_level': 9680, 'twist_class_label': '4840.2.a.bc.1.2', 'twist_class_level': 4840, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48671611
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 126100789599933160, 'source_is_minimal': True, 'source_label': '4840.2.a.bc.1.2', 'source_level': 4840, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 130604389227303656, 'target_is_minimal': True, 'target_label': '4840.2.a.bd.1.2', 'target_level': 4840, 'twist_class_label': '4840.2.a.bc.1.2', 'twist_class_level': 4840, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 48671612
{'conductor': 44, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 126100789599933160, 'source_is_minimal': True, 'source_label': '4840.2.a.bc.1.2', 'source_level': 4840, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 351280770968462800, 'target_is_minimal': False, 'target_label': '9680.2.a.da.1.5', 'target_level': 9680, 'twist_class_label': '4840.2.a.bc.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: 3721725
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 126100789599933160, 'p': 2}
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id: 3721726
{'charpoly_factorization': [[[-11, 10, 23, -12, -9, 2, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 3}
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id: 3721727
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 126100789599933160, 'p': 5}
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id: 3721728
{'charpoly_factorization': [[[313, 440, 71, -84, -21, 4, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 7}
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id: 3721729
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 126100789599933160, 'p': 11}
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id: 3721730
{'charpoly_factorization': [[[16, -64, 64, 16, -32, 0, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 13}
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id: 3721731
{'charpoly_factorization': [[[256, 1024, 0, -192, -16, 8, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 17}
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id: 3721732
{'charpoly_factorization': [[[-176, -704, -560, -112, 28, 12, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 19}
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id: 3721733
{'charpoly_factorization': [[[-9776, 6592, 1232, -456, -60, 8, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 23}
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id: 3721734
{'charpoly_factorization': [[[-5888, -11776, -7104, -1344, -16, 16, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 29}
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id: 3721735
{'charpoly_factorization': [[[-368, 288, 976, -40, -80, 4, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 31}
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id: 3721736
{'charpoly_factorization': [[[3328, -9984, 1216, 608, -80, -8, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 37}
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id: 3721737
{'charpoly_factorization': [[[-70187, -38480, -4285, 1200, 351, 32, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 41}
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id: 3721738
{'charpoly_factorization': [[[9097, -5280, -425, 700, -101, -4, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 43}
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id: 3721739
{'charpoly_factorization': [[[277, 1750, 1231, -268, -65, 6, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 47}
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id: 3721740
{'charpoly_factorization': [[[89296, -46848, 3232, 1496, -176, -8, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 53}
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id: 3721741
{'charpoly_factorization': [[[-221168, 13248, 17728, 376, -248, -4, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 59}
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id: 3721742
{'charpoly_factorization': [[[252013, 87392, -1917, -2640, -121, 16, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 61}
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id: 3721743
{'charpoly_factorization': [[[-1315739, 2802, 38287, -212, -353, 2, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 67}
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id: 3721744
{'charpoly_factorization': [[[-10736, 35072, -11104, -2040, 120, 28, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 71}
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id: 3721745
{'charpoly_factorization': [[[212992, 106496, 5120, -3072, -192, 16, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 73}
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id: 3721746
{'charpoly_factorization': [[[19008, -17280, 3888, 288, -132, 0, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 79}
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id: 3721747
{'charpoly_factorization': [[[927952, 325440, 14592, -3952, -288, 12, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 83}
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id: 3721748
{'charpoly_factorization': [[[75673, -159890, -10721, 6212, -281, -18, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 89}
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id: 3721749
{'charpoly_factorization': [[[103248, -65664, 9216, 1080, -240, 0, 1], 1]], 'hecke_orbit_code': 126100789599933160, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 29, 'label': '4840.2.a.bc', 'level': 4840, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 67917703
{'hecke_orbit_code': 126100789599933160, 'n': 1, 'trace_an': 6}
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id: 67917704
{'hecke_orbit_code': 126100789599933160, 'n': 2, 'trace_an': 0}
-
id: 67917705
{'hecke_orbit_code': 126100789599933160, 'n': 3, 'trace_an': -2}
-
id: 67917706
{'hecke_orbit_code': 126100789599933160, 'n': 4, 'trace_an': 0}
-
id: 67917707
{'hecke_orbit_code': 126100789599933160, 'n': 5, 'trace_an': 6}
-
id: 67917708
{'hecke_orbit_code': 126100789599933160, 'n': 6, 'trace_an': 0}
-
id: 67917709
{'hecke_orbit_code': 126100789599933160, 'n': 7, 'trace_an': -4}
-
id: 67917710
{'hecke_orbit_code': 126100789599933160, 'n': 8, 'trace_an': 0}
-
id: 67917711
{'hecke_orbit_code': 126100789599933160, 'n': 9, 'trace_an': 4}
-
id: 67917712
{'hecke_orbit_code': 126100789599933160, 'n': 10, 'trace_an': 0}
-
id: 67917713
{'hecke_orbit_code': 126100789599933160, 'n': 11, 'trace_an': 0}
-
id: 67917714
{'hecke_orbit_code': 126100789599933160, 'n': 12, 'trace_an': 0}
-
id: 67917715
{'hecke_orbit_code': 126100789599933160, 'n': 13, 'trace_an': 0}
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id: 67917716
{'hecke_orbit_code': 126100789599933160, 'n': 14, 'trace_an': 0}
-
id: 67917717
{'hecke_orbit_code': 126100789599933160, 'n': 15, 'trace_an': -2}
-
id: 67917718
{'hecke_orbit_code': 126100789599933160, 'n': 16, 'trace_an': 0}
-
id: 67917719
{'hecke_orbit_code': 126100789599933160, 'n': 17, 'trace_an': -8}
-
id: 67917720
{'hecke_orbit_code': 126100789599933160, 'n': 18, 'trace_an': 0}
-
id: 67917721
{'hecke_orbit_code': 126100789599933160, 'n': 19, 'trace_an': -12}
-
id: 67917722
{'hecke_orbit_code': 126100789599933160, 'n': 20, 'trace_an': 0}
-
id: 67917723
{'hecke_orbit_code': 126100789599933160, 'n': 21, 'trace_an': 8}
-
id: 67917724
{'hecke_orbit_code': 126100789599933160, 'n': 22, 'trace_an': 0}
-
id: 67917725
{'hecke_orbit_code': 126100789599933160, 'n': 23, 'trace_an': -8}
-
id: 67917726
{'hecke_orbit_code': 126100789599933160, 'n': 24, 'trace_an': 0}
-
id: 67917727
{'hecke_orbit_code': 126100789599933160, 'n': 25, 'trace_an': 6}
-
id: 67917728
{'hecke_orbit_code': 126100789599933160, 'n': 26, 'trace_an': 0}
-
id: 67917729
{'hecke_orbit_code': 126100789599933160, 'n': 27, 'trace_an': -14}
-
id: 67917730
{'hecke_orbit_code': 126100789599933160, 'n': 28, 'trace_an': 0}
-
id: 67917731
{'hecke_orbit_code': 126100789599933160, 'n': 29, 'trace_an': -16}
-
id: 67917732
{'hecke_orbit_code': 126100789599933160, 'n': 30, 'trace_an': 0}
-
id: 67917733
{'hecke_orbit_code': 126100789599933160, 'n': 31, 'trace_an': -4}
-
id: 67917734
{'hecke_orbit_code': 126100789599933160, 'n': 32, 'trace_an': 0}
-
id: 67917735
{'hecke_orbit_code': 126100789599933160, 'n': 33, 'trace_an': 0}
-
id: 67917736
{'hecke_orbit_code': 126100789599933160, 'n': 34, 'trace_an': 0}
-
id: 67917737
{'hecke_orbit_code': 126100789599933160, 'n': 35, 'trace_an': -4}
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id: 67917738
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id: 67917957
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id: 67917958
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id: 67917959
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id: 67917960
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