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{'Nk2': 29792, 'analytic_conductor': 59.47257942544963, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 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': [7448, 1, [1863, 3725, 3041, 3137], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 98211824, 'field_disc_factorization': [[2, 4], [6138239, 1]], 'field_poly': [1, -9, 8, 15, -6, -3, 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, [7, 19, 2, -19, -6, 3, 1]], [5, [53, 123, 59, -24, -17, 1, 1]], [11, [575, -539, 4, 121, -28, -3, 1]], [13, [-3920, 1544, 639, -194, -40, 6, 1]], [17, [148, -322, 91, 138, -55, -2, 1]]], 'hecke_orbit': 39, 'hecke_orbit_code': 171136785873640728, 'hecke_ring_generator_nbound': 5, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '7448.2.a.bm', 'level': 7448, '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, 7, 19], 'level_radical': 266, 'minimal_twist': '7448.2.a.bm', 'nf_label': '6.6.98211824.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{3}+\\beta _{3}q^{5}+(1-\\beta _{1}+\\beta _{2}+\\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': '7448.2.a', 'trace_display': [0, -3, -1, 0], 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mf_newspaces • Show schema
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{'ALdims': [23, 23, 23, 23, 26, 20, 19, 28], 'Nk2': 29792, 'analytic_conductor': 59.47257942544963, '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': [7448, 1, [1863, 3725, 3041, 3137], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1089, 'dim': 185, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11, 13, 17], 'hecke_orbit_code': 33561880, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 4, 4, 5, 6, 6, 7, 7, 8, 8, 11, 11, 14, 14, 14, 14], 'label': '7448.2.a', 'level': 7448, '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, 7, 19], 'level_radical': 266, 'mf_dim': 1152, 'mf_new_dim': 185, 'num_forms': 50, 'plus_dim': 85, 'prim_orbit_index': 1, 'relative_dim': 185, 'sturm_bound': 2240, 'trace_bound': 17, 'trace_display': [0, 0, -4, 0], 'traces': [185, 0, 0, 0, -4, 0, 0, 0, 183, 0, -6, 0, 2, 0, -16, 0, -6, 0, 3, 0, 0, 0, 6, 0, 201, 0, -24, 0, 14, 0, 4, 0, 4, 0, 0, 0, -14, 0, 26, 0, -2, 0, -14, 0, -16, 0, -30, 0, 0, 0, 4, 0, 10, 0, -6, 0, 2, 0, -8, 0, -24, 0, 0, 0, 16, 0, -20, 0, 20, 0, 8, 0, 14, 0, -20, 0, 0, 0, -20, 0, 169, 0, 40, 0, 42, 0, 10, 0, 14, 0, 0, 0, 4, 0, 0, 0, 22, 0, 62, 0, -2, 0, -44, 0, 0, 0, -16, 0, -22, 0, -12, 0, 50, 0, -20, 0, -10, 0, 0, 0, 191, 0, 8, 0, -30, 0, -32, 0, 8, 0, 66, 0, 0, 0, 60, 0, -22, 0, -2, 0, 12, 0, 32, 0, -12, 0, 0, 0, 80, 0, 28, 0, 76, 0, 64, 0, -14, 0, -6, 0, 0, 0, -60, 0, -20, 0, 60, 0, 153, 0, 15, 0, -6, 0, 0, 0, -2, 0, 32, 0, 34, 0, 48, 0, 80, 0, -30, 0, 0, 0, 12, 0, 58, 0, 60, 0, -130, 0, -20, 0, -10, 0, 0, 0, -96, 0, -36, 0, -10, 0, 32, 0, 8, 0, 34, 0, 0, 0, -52, 0, -112, 0, 12, 0, 195, 0, 60, 0, 28, 0, 0, 0, 24, 0, -26, 0, 24, 0, 20, 0, 6, 0, -72, 0, 0, 0, 0, 0, 272, 0, 46, 0, -28, 0, 112, 0, 6, 0, 0, 0, 194, 0, 10, 0, 64, 0, 12, 0, 22, 0, 6, 0, 0, 0, 4, 0, -116, 0, 40, 0, 190, 0, 6, 0, -8, 0, 0, 0, 247, 0, -136, 0, 106, 0, 120, 0, 40, 0, -8, 0, 0, 0, 176, 0, -30, 0, -68, 0, 220, 0, -8, 0, 68, 0, 0, 0, -50, 0, 260, 0, -14, 0, -12, 0, -18, 0, -10, 0, 0, 0, 92, 0, 2, 0, 12, 0, 14, 0, 24, 0, 88, 0, 0, 0, 84, 0, -30, 0, -108, 0, 94, 0, -12, 0, -60, 0, 0, 0, 24, 0, 185, 0, -116, 0, -118, 0, -8, 0, 110, 0, 0, 0, -22, 0, 148, 0, -6, 0, -48, 0, -32, 0, 40, 0, 0, 0, -34, 0, 136, 0, 10, 0, 96, 0, 144, 0, -168, 0, 0, 0, -46, 0, -68, 0, 100, 0, -68, 0, -66, 0, -84, 0, 0, 0, 168, 0, -120, 0, -64, 0, -238, 0, 58, 0, -28, 0, 0, 0, 140, 0, -28, 0, 6, 0, 68, 0, -4, 0, 76, 0, 0, 0, -58, 0, 52, 0, -52, 0, -22, 0, -20, 0, 108, 0, 0, 0, 82, 0, -112, 0, -68, 0, 138, 0, -64, 0, 6, 0, 0, 0, -76, 0, 46, 0, 23, 0, 54, 0, 24, 0, -128, 0, 0, 0, -116, 0, -180, 0, 20, 0, -112, 0, -116, 0, -174, 0, 0, 0, -138, 0, 216, 0, 30, 0, 152, 0, -48, 0, 134, 0, 0, 0, 26, 0, -116, 0, -102, 0, 292, 0, -54, 0, -72, 0, 0, 0, -188, 0, 127, 0, -56, 0, 180, 0, -88, 0, 24, 0, 0, 0, 152, 0, -500, 0, -112, 0, -92, 0, 40, 0, 4, 0, 0, 0, -640, 0, -20, 0, -132, 0, -60, 0, 0, 0, -72, 0, 0, 0, 90, 0, 48, 0, 96, 0, -390, 0, -18, 0, -84, 0, 0, 0, 48, 0, -92, 0, -130, 0, -4, 0, -56, 0, 2, 0, 0, 0, -184, 0, -56, 0, 26, 0, -516, 0, -34, 0, -124, 0, 0, 0, 128, 0, -84, 0, 208, 0, -108, 0, -100, 0, 92, 0, 0, 0, 289, 0, -32, 0, 88, 0, -58, 0, 110, 0, -188, 0, 0, 0, -452, 0, -30, 0, 10, 0, 140, 0, -4, 0, -132, 0, 0, 0, 132, 0, 278, 0, -172, 0, 0, 0, -94, 0, 238, 0, 0, 0, 88, 0, 124, 0, -30, 0, -10, 0, 0, 0, -114, 0, 0, 0, -34, 0, -236, 0, 34, 0, 120, 0, 74, 0, 6, 0, 0, 0, -54, 0, 176, 0, -132, 0, -98, 0, -18, 0, -84, 0, 0, 0, -10, 0, 32, 0, 20, 0, 152, 0, -56, 0, 4, 0, 0, 0, 112, 0, 46, 0, -64, 0, 393, 0, 82, 0, 70, 0, 0, 0, -32, 0, -114, 0, -12, 0, 116, 0, 38, 0, 212, 0, 0, 0, 120, 0, -8, 0, 12, 0, -124, 0, 24, 0, -38, 0, 0, 0, 326, 0, 10, 0, 82, 0, 84, 0, -18, 0, -236, 0, 0, 0, -38, 0, 100, 0, 166, 0, -136, 0, -92, 0, -12, 0, 0, 0, 16, 0, -268, 0, -78, 0, 26, 0, 146, 0, -38, 0, 0, 0, 84, 0, -54, 0, 44, 0, 204, 0, -120, 0, -30, 0, 0, 0, 68, 0, 24, 0, 256, 0, 52, 0, 154, 0, 40, 0, 0, 0, 84, 0, 220, 0, 56, 0, 441, 0, 40, 0, 216, 0, 0, 0, 484, 0, 152, 0, 110, 0, 28, 0, 166, 0, 134, 0, 0, 0, -232, 0, -112, 0, 108, 0, 296, 0, -110, 0, 330, 0, 0, 0, -74, 0, 62, 0, -156, 0, -202, 0, -44, 0, -80, 0, 0, 0, 122, 0, 26, 0, -196, 0, 338, 0, 52, 0, 120, 0, 0, 0, -240, 0, -44, 0, -86, 0, 48, 0, -32, 0, 324, 0, 0, 0, -6, 0, -48, 0, 96, 0, 10, 0, 172, 0, -196, 0, 0, 0, 376, 0, -242, 0, 86, 0, -296, 0, 30, 0, 200, 0, 0, 0, -240, 0, -232, 0, -106, 0, -182, 0, 6, 0, -36, 0, 0, 0, 313, 0, 144, 0, 60, 0, -300, 0, 6, 0, 84, 0, 0, 0, -58, 0, 182, 0, 128, 0, -650, 0, 28, 0, 168, 0, 0, 0, -564, 0, -184, 0, 98, 0, -318, 0, 48, 0, 124, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48909790
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 171136785873640728, 'source_is_minimal': True, 'source_label': '7448.2.a.bm.1.2', 'source_level': 7448, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 171136785873640728, 'target_is_minimal': True, 'target_label': '7448.2.a.bm.1.2', 'target_level': 7448, 'twist_class_label': '7448.2.a.bm.1.2', 'twist_class_level': 7448, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48909791
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 171136785873640728, 'source_is_minimal': True, 'source_label': '7448.2.a.bm.1.2', 'source_level': 7448, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 175640385501011224, 'target_is_minimal': True, 'target_label': '7448.2.a.bn.1.5', 'target_level': 7448, 'twist_class_label': '7448.2.a.bm.1.2', 'twist_class_level': 7448, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4477425
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 171136785873640728, 'p': 2}
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id: 4477426
{'charpoly_factorization': [[[7, 19, 2, -19, -6, 3, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 3}
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id: 4477427
{'charpoly_factorization': [[[53, 123, 59, -24, -17, 1, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 5}
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id: 4477428
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 171136785873640728, 'p': 7}
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id: 4477429
{'charpoly_factorization': [[[575, -539, 4, 121, -28, -3, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 11}
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id: 4477430
{'charpoly_factorization': [[[-3920, 1544, 639, -194, -40, 6, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 13}
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id: 4477431
{'charpoly_factorization': [[[148, -322, 91, 138, -55, -2, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 17}
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id: 4477432
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 171136785873640728, 'p': 19}
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id: 4477433
{'charpoly_factorization': [[[-6860, -1178, 1369, 140, -78, -2, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 23}
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id: 4477434
{'charpoly_factorization': [[[9521, -8729, 2112, 147, -90, 1, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 29}
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id: 4477435
{'charpoly_factorization': [[[3148, 6410, -773, -596, -3, 14, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 31}
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id: 4477436
{'charpoly_factorization': [[[-7, 3, 93, -66, -27, 7, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 37}
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id: 4477437
{'charpoly_factorization': [[[-43133, -52561, -1954, 1921, -6, -21, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 41}
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id: 4477438
{'charpoly_factorization': [[[-1472, -224, 544, 52, -51, -1, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 43}
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id: 4477439
{'charpoly_factorization': [[[-4855, -10983, -3633, 20, 159, 23, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 47}
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id: 4477440
{'charpoly_factorization': [[[4549, 3249, -1382, -1021, -36, 15, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 53}
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id: 4477441
{'charpoly_factorization': [[[-79, 871, 1469, 856, 221, 25, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 59}
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id: 4477442
{'charpoly_factorization': [[[-5867, 2083, 2247, -1036, 11, 21, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 61}
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id: 4477443
{'charpoly_factorization': [[[4396, -20032, 11549, 496, -253, -2, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 67}
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id: 4477444
{'charpoly_factorization': [[[1813, -2249, -459, 398, 1, -13, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 71}
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id: 4477445
{'charpoly_factorization': [[[-71932, 53374, 15735, -326, -245, -2, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 73}
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id: 4477446
{'charpoly_factorization': [[[-35696, 163568, 14268, -3908, -245, 17, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 79}
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id: 4477447
{'charpoly_factorization': [[[-32732, -1600, 4927, -180, -133, 4, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 83}
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id: 4477448
{'charpoly_factorization': [[[-360640, -90656, 35672, 840, -379, -1, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 89}
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id: 4477449
{'charpoly_factorization': [[[74851, -33099, -547, 1312, -69, -13, 1], 1]], 'hecke_orbit_code': 171136785873640728, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 39, 'label': '7448.2.a.bm', 'level': 7448, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 272547000
{'hecke_orbit_code': 171136785873640728, 'n': 1, 'trace_an': 6}
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id: 272547001
{'hecke_orbit_code': 171136785873640728, 'n': 2, 'trace_an': 0}
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id: 272547002
{'hecke_orbit_code': 171136785873640728, 'n': 3, 'trace_an': -3}
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id: 272547003
{'hecke_orbit_code': 171136785873640728, 'n': 4, 'trace_an': 0}
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id: 272547004
{'hecke_orbit_code': 171136785873640728, 'n': 5, 'trace_an': -1}
-
id: 272547005
{'hecke_orbit_code': 171136785873640728, 'n': 6, 'trace_an': 0}
-
id: 272547006
{'hecke_orbit_code': 171136785873640728, 'n': 7, 'trace_an': 0}
-
id: 272547007
{'hecke_orbit_code': 171136785873640728, 'n': 8, 'trace_an': 0}
-
id: 272547008
{'hecke_orbit_code': 171136785873640728, 'n': 9, 'trace_an': 3}
-
id: 272547009
{'hecke_orbit_code': 171136785873640728, 'n': 10, 'trace_an': 0}
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id: 272547010
{'hecke_orbit_code': 171136785873640728, 'n': 11, 'trace_an': 3}
-
id: 272547011
{'hecke_orbit_code': 171136785873640728, 'n': 12, 'trace_an': 0}
-
id: 272547012
{'hecke_orbit_code': 171136785873640728, 'n': 13, 'trace_an': -6}
-
id: 272547013
{'hecke_orbit_code': 171136785873640728, 'n': 14, 'trace_an': 0}
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id: 272547014
{'hecke_orbit_code': 171136785873640728, 'n': 15, 'trace_an': -8}
-
id: 272547015
{'hecke_orbit_code': 171136785873640728, 'n': 16, 'trace_an': 0}
-
id: 272547016
{'hecke_orbit_code': 171136785873640728, 'n': 17, 'trace_an': 2}
-
id: 272547017
{'hecke_orbit_code': 171136785873640728, 'n': 18, 'trace_an': 0}
-
id: 272547018
{'hecke_orbit_code': 171136785873640728, 'n': 19, 'trace_an': 6}
-
id: 272547019
{'hecke_orbit_code': 171136785873640728, 'n': 20, 'trace_an': 0}
-
id: 272547020
{'hecke_orbit_code': 171136785873640728, 'n': 21, 'trace_an': 0}
-
id: 272547021
{'hecke_orbit_code': 171136785873640728, 'n': 22, 'trace_an': 0}
-
id: 272547022
{'hecke_orbit_code': 171136785873640728, 'n': 23, 'trace_an': 2}
-
id: 272547023
{'hecke_orbit_code': 171136785873640728, 'n': 24, 'trace_an': 0}
-
id: 272547024
{'hecke_orbit_code': 171136785873640728, 'n': 25, 'trace_an': 5}
-
id: 272547025
{'hecke_orbit_code': 171136785873640728, 'n': 26, 'trace_an': 0}
-
id: 272547026
{'hecke_orbit_code': 171136785873640728, 'n': 27, 'trace_an': -6}
-
id: 272547027
{'hecke_orbit_code': 171136785873640728, 'n': 28, 'trace_an': 0}
-
id: 272547028
{'hecke_orbit_code': 171136785873640728, 'n': 29, 'trace_an': -1}
-
id: 272547029
{'hecke_orbit_code': 171136785873640728, 'n': 30, 'trace_an': 0}
-
id: 272547030
{'hecke_orbit_code': 171136785873640728, 'n': 31, 'trace_an': -14}
-
id: 272547031
{'hecke_orbit_code': 171136785873640728, 'n': 32, 'trace_an': 0}
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