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{'Nk2': 33516, 'analytic_conductor': 66.90665185363083, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, -1], [19, 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': [8379, 1, [6518, 7696, 2206], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-3, 0, 1]], [5, [0, 1]], [11, [-12, 0, 1]], [13, [-12, 0, 1]], [17, [-4, 1]]], 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227307195, 'hecke_ring_generator_nbound': 2, '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': '8379.2.a.bd', 'level': 8379, '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': [3, 7, 19], 'level_radical': 399, 'minimal_twist': '2793.2.a.q', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{2}+q^{4}-\\beta q^{8}-2\\beta q^{11}+2\\beta q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8379.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1358032315228210923, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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-
mf_newspaces • Show schema
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{'ALdims': [28, 36, 36, 24, 46, 42, 45, 51], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [7, 8, 8, 8, 8, 8, 8, 8], 'ALdims_old': [101, 108, 104, 108, 98, 86, 87, 89], 'Nk2': 33516, 'analytic_conductor': 66.90665185363083, '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': [8379, 1, [6518, 7696, 2206], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1089, 'dim': 308, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 11, 13, 17], 'hecke_orbit_code': 33562811, 'hecke_orbit_dims': [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, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 10, 10, 12, 12, 20, 20], 'label': '8379.2.a', 'level': 8379, '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': [3, 7, 19], 'level_radical': 399, 'mf_dim': 1152, 'mf_new_dim': 308, 'num_forms': 76, 'plus_dim': 139, 'prim_orbit_index': 1, 'relative_dim': 308, 'sturm_bound': 2240, 'trace_bound': 17, 'trace_display': [-1, 0, 3, 0], 'traces': [308, -1, 0, 307, 3, 0, 0, -9, 0, -2, -3, 0, 6, 0, 0, 289, 13, 0, -2, -4, 0, 4, -8, 0, 335, -2, 0, 0, 12, 0, -4, 11, 0, 18, 0, 0, -8, 3, 0, 30, 16, 0, -11, -30, 0, -8, 7, 0, 0, 1, 0, 42, 26, 0, -33, 0, 0, 62, -22, 0, -5, -36, 0, 293, 60, 0, 24, -24, 0, 0, -2, 0, -3, 26, 0, -5, 0, 0, -24, -50, 0, 74, 12, 0, 33, 48, 0, 96, 38, 0, 0, -8, 0, 36, -9, 0, 46, 0, 0, 379, 12, 0, 6, -38, 0, 78, 26, 0, -46, -24, 0, 0, 68, 0, 72, 86, 0, -52, 0, 0, 291, 22, 0, 12, -9, 0, 6, 91, 0, 44, 7, 0, 0, 4, 0, -50, -47, 0, -43, 0, 0, 24, -40, 0, 50, -2, 0, -150, 109, 0, -2, 15, 0, 0, -76, 0, -52, 32, 0, 130, 0, 0, 68, 106, 0, 76, 6, 0, 288, 104, 0, 30, 4, 0, 0, 8, 0, -34, -66, 0, -44, 0, 0, -12, 38, 0, 25, 66, 0, 18, -87, 0, 2, -22, 0, 0, 156, 0, -11, 17, 0, -66, 0, 0, 58, 168, 0, 54, 5, 0, 70, 86, 0, 20, 23, 0, 0, 74, 0, -102, 184, 0, 62, 0, 0, 18, 4, 0, -103, 20, 0, 70, 49, 0, 15, 128, 0, 0, -37, 0, -4, 247, 0, 84, 0, 0, 2, -100, 0, 24, 83, 0, 58, -296, 0, 269, 50, 0, 0, 244, 0, -24, 53, 0, 132, 0, 0, 76, -38, 0, 4, 102, 0, -90, 50, 0, 73, -164, 0, 0, -12, 0, -27, -312, 0, 60, 0, 0, 437, 104, 0, -68, -38, 0, -102, 266, 0, -282, -108, 0, 0, -168, 0, 13, -15, 0, -8, 0, 0, -16, -41, 0, 52, 114, 0, -60, 8, 0, -254, -178, 0, 0, 27, 0, 10, 84, 0, 194, 0, 0, -64, -12, 0, -40, -100, 0, 22, -259, 0, 66, 20, 0, 0, 196, 0, 90, 163, 0, -15, 0, 0, 292, 76, 0, 74, -14, 0, -132, 93, 0, 308, 218, 0, 0, 207, 0, -12, -8, 0, 108, 0, 0, 82, -260, 0, 28, -96, 0, 98, -4, 0, 8, -252, 0, 0, -42, 0, 70, -127, 0, 16, 0, 0, -14, -264, 0, 73, -64, 0, 191, 10, 0, 0, 162, 0, 0, -22, 0, -22, 204, 0, -52, 0, 0, -194, -190, 0, -36, 8, 0, 106, 60, 0, 198, 162, 0, 0, 72, 0, -272, -188, 0, 132, 0, 0, -90, 4, 0, -78, 64, 0, 196, 173, 0, 152, 24, 0, 0, -246, 0, -18, 222, 0, -184, 0, 0, 51, -54, 0, 164, -23, 0, -153, 42, 0, 286, -105, 0, 0, -216, 0, -32, 45, 0, -31, 0, 0, -364, -44, 0, -80, 186, 0, -211, 4, 0, -14, 2, 0, 0, -168, 0, 26, -42, 0, 36, 0, 0, -61, 18, 0, -88, -32, 0, 56, 116, 0, -348, 46, 0, 0, 139, 0, -166, -110, 0, 49, 0, 0, 156, 18, 0, -238, -126, 0, -344, 28, 0, 300, 64, 0, 0, 244, 0, -134, 84, 0, -90, 0, 0, -117, 100, 0, 186, 96, 0, -16, -64, 0, -452, 36, 0, 0, -194, 0, -146, 101, 0, 4, 0, 0, -30, 150, 0, 134, 16, 0, -280, 98, 0, -52, 172, 0, 0, -478, 0, 63, -595, 0, -28, 0, 0, -28, 6, 0, 242, -1, 0, 4, -104, 0, -226, -40, 0, 0, -212, 0, -168, 56, 0, 76, 0, 0, -40, 120, 0, -100, 3, 0, -360, -208, 0, 155, 176, 0, 0, -11, 0, -192, 0, 0, 108, 0, 0, 530, 74, 0, -178, 70, 0, -47, -128, 0, -50, 106, 0, 0, -216, 0, 174, 118, 0, 73, 0, 0, 30, 25, 0, 74, -70, 0, 224, 107, 0, -291, 326, 0, 0, 250, 0, 22, 12, 0, 112, 0, 0, 304, -156, 0, 140, 99, 0, 128, 558, 0, 645, -192, 0, 0, 740, 0, 140, -324, 0, 141, 0, 0, -396, 276, 0, -1, -54, 0, 40, 85, 0, 78, -246, 0, 0, -32, 0, -40, -12, 0, -158, 0, 0, 44, -136, 0, -314, -16, 0, 72, 220, 0, -508, -95, 0, 0, -1, 0, -86, 506, 0, 11, 0, 0, 200, 121, 0, 76, -20, 0, -16, -20, 0, 19, -168, 0, 0, 128, 0, -27, 234, 0, -86, 0, 0, -52, 400, 0, -40, 74, 0, 159, -612, 0, 90, 185, 0, 0, 174, 0, -104, -144, 0, -69, 0, 0, 134, -260, 0, -184, -146, 0, -58, -20, 0, -126, -444, 0, 0, 372, 0, 48, 230, 0, -168, 0, 0, 352, -318, 0, -30, -50, 0, -125, 181, 0, 202, 181, 0, 0, 388, 0, -146, 159, 0, -92, 0, 0, 120, -140, 0, -19, 14, 0, -72, -311, 0, -83, 196, 0, 0, 232, 0, 182, 272, 0, 30, 0, 0, 126, 22, 0, -56, -18, 0, 364, -254, 0, 444, -179, 0, 0, -566, 0, 226, -28, 0, 156, 0, 0, 132, 200, 0, 65, -206, 0, 224, -302, 0, 494, -110, 0, 0, -224, 0, -12, 138, 0, 44, 0, 0, 144, -336, 0, 40, -39, 0, 127, 552, 0, -112, 46, 0, 0, -252, 0, 92, -45, 0, -34, 0, 0, -22, -40, 0, 36, -172, 0, 218, 454, 0, -152, -128, 0, 0, -54, 0, -12, -218, 0, -132, 0, 0, -16, -92, 0, 58, -20, 0, 278, 108, 0, 118, 76, 0, 0, 260, 0, 132, 53, 0, -111, 0, 0, -298, 28, 0, -16, 184, 0, 180, 252, 0, 152, 93, 0, 0, 338, 0, 135, -490, 0, -276, 0, 0, 324, 408, 0, 450, 24, 0, 64, 215, 0, 124, 12, 0, 0, -456, 0, 286, -358, 0, -44, 0, 0, 136, 24, 0, -222, 128, 0, -50, -590, 0, -82, -232, 0, 0, 527, 0, 165, -136, 0, 96], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48712276
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 130604389227307195, 'source_is_minimal': False, 'source_label': '8379.2.a.bd.1.2', 'source_level': 8379, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 130604389227307195, 'target_is_minimal': False, 'target_label': '8379.2.a.bd.1.2', 'target_level': 8379, 'twist_class_label': '2793.2.a.q.1.1', 'twist_class_level': 2793, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48712277
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 130604389227307195, 'source_is_minimal': False, 'source_label': '8379.2.a.bd.1.2', 'source_level': 8379, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698855657, 'target_is_minimal': True, 'target_label': '2793.2.a.r.1.1', 'target_level': 2793, 'twist_class_label': '2793.2.a.q.1.1', 'twist_class_level': 2793, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48712278
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 130604389227307195, 'source_is_minimal': False, 'source_label': '8379.2.a.bd.1.2', 'source_level': 8379, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126100789599936699, 'target_is_minimal': False, 'target_label': '8379.2.a.bc.1.2', 'target_level': 8379, 'twist_class_label': '2793.2.a.q.1.1', 'twist_class_level': 2793, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48712279
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 130604389227307195, 'source_is_minimal': False, 'source_label': '8379.2.a.bd.1.2', 'source_level': 8379, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071485161, 'target_is_minimal': True, 'target_label': '2793.2.a.q.1.1', 'target_level': 2793, 'twist_class_label': '2793.2.a.q.1.1', 'twist_class_level': 2793, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4735875
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 130604389227307195, 'p': 2}
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id: 4735876
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 130604389227307195, 'p': 3}
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id: 4735877
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 130604389227307195, 'p': 5}
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id: 4735878
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 130604389227307195, 'p': 7}
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id: 4735879
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 130604389227307195, 'p': 11}
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id: 4735880
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 130604389227307195, 'p': 13}
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id: 4735881
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 130604389227307195, 'p': 17}
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id: 4735882
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 130604389227307195, 'p': 19}
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id: 4735883
{'charpoly_factorization': [[[4, -8, 1], 1]], 'hecke_orbit_code': 130604389227307195, 'p': 23}
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id: 4735884
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 130604389227307195, 'p': 29}
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id: 4735885
{'charpoly_factorization': [[[-32, 8, 1], 1]], 'hecke_orbit_code': 130604389227307195, 'p': 31}
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id: 4735886
{'charpoly_factorization': [[[-44, 4, 1], 1]], 'hecke_orbit_code': 130604389227307195, 'p': 37}
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id: 4735887
{'charpoly_factorization': [[[-32, 8, 1], 1]], 'hecke_orbit_code': 130604389227307195, 'p': 41}
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id: 4735888
{'charpoly_factorization': [[[-32, 8, 1], 1]], 'hecke_orbit_code': 130604389227307195, 'p': 43}
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id: 4735889
{'charpoly_factorization': [[[-44, 4, 1], 1]], 'hecke_orbit_code': 130604389227307195, 'p': 47}
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id: 4735890
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 130604389227307195, 'p': 53}
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id: 4735891
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 130604389227307195, 'p': 59}
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id: 4735892
{'charpoly_factorization': [[[16, 16, 1], 1]], 'hecke_orbit_code': 130604389227307195, 'p': 61}
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id: 4735893
{'charpoly_factorization': [[[-92, -8, 1], 1]], 'hecke_orbit_code': 130604389227307195, 'p': 67}
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id: 4735894
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 130604389227307195, 'p': 71}
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id: 4735895
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 130604389227307195, 'p': 73}
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id: 4735896
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 130604389227307195, 'p': 79}
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id: 4735897
{'charpoly_factorization': [[[-44, 4, 1], 1]], 'hecke_orbit_code': 130604389227307195, 'p': 83}
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id: 4735898
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 130604389227307195, 'p': 89}
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id: 4735899
{'charpoly_factorization': [[[244, 32, 1], 1]], 'hecke_orbit_code': 130604389227307195, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 30, 'label': '8379.2.a.bd', 'level': 8379, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68367397
{'hecke_orbit_code': 130604389227307195, 'n': 1, 'trace_an': 2}
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id: 68367398
{'hecke_orbit_code': 130604389227307195, 'n': 2, 'trace_an': 0}
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id: 68367399
{'hecke_orbit_code': 130604389227307195, 'n': 3, 'trace_an': 0}
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id: 68367400
{'hecke_orbit_code': 130604389227307195, 'n': 4, 'trace_an': 2}
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id: 68367401
{'hecke_orbit_code': 130604389227307195, 'n': 5, 'trace_an': 0}
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id: 68367402
{'hecke_orbit_code': 130604389227307195, 'n': 6, 'trace_an': 0}
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id: 68367403
{'hecke_orbit_code': 130604389227307195, 'n': 7, 'trace_an': 0}
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id: 68367404
{'hecke_orbit_code': 130604389227307195, 'n': 8, 'trace_an': 0}
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id: 68367405
{'hecke_orbit_code': 130604389227307195, 'n': 9, 'trace_an': 0}
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id: 68367406
{'hecke_orbit_code': 130604389227307195, 'n': 10, 'trace_an': 0}
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id: 68367407
{'hecke_orbit_code': 130604389227307195, 'n': 11, 'trace_an': 0}
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id: 68367408
{'hecke_orbit_code': 130604389227307195, 'n': 12, 'trace_an': 0}
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id: 68367654
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