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mf_newforms • Show schema
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{'Nk2': 1672, 'analytic_conductor': 3.33774680448952, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 209, 'char_degree': 8, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 15, 'char_parity': 1, 'char_values': [418, 15, [343, 287], [6, 10]], 'cm_discs': [], 'conrey_index': 49, 'conrey_indexes': [49, 125, 159, 163, 201, 235, 273, 311], 'dim': 8, 'field_disc': 1265625, 'field_disc_factorization': [[3, 4], [5, 6]], 'field_poly': [1, -1, 0, 1, -1, 1, 0, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 15, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [256, -128, 0, 32, -16, 8, 0, -2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008092641493410, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 3, 1, 5, 0], [1, 1, 19, 3, 1, 3, 0], [1, 1, 209, 14, 1, 15, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '418.2.n.c', 'level': 418, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 11, 19], 'level_radical': 418, 'minimal_twist': '418.2.n.c', 'nf_label': '8.0.1265625.1', 'prim_orbit_index': 14, 'qexp_display': 'q+(-\\zeta_{15}-\\zeta_{15}^{6})q^{2}+(-2+2\\zeta_{15}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c15', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '418.2.n', 'trace_display': [1, 2, 1, 6], 'trace_hash': 1627736882553028514, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.967', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, -1, 0], [-2, 2, 0, -2, 2, -2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 1], [-1, -1, 2, -1, 1, 0, -2, 1], [0, 0, 0, 0, 2, 0, 0, 0], [0, 0, -1, -2, 0, 0, -2, -1], [0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [2, -1, 0, 0, -1, 2, 0, 0], [0, 0, 2, -1, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0], [-3, 3, 0, 0, 0, -3, 0, 3], [-3, 1, 0, -3, 3, -1, -2, 3], [-2, 0, 0, 0, 2, -2, 0, -2], [1, 0, -1, 1, -1, 0, 1, -1], [-6, -1, 7, -6, 6, 0, -7, 6], [0, 0, -1, 0, 0, 0, 0, -1], [0, 2, 0, 3, -2, -2, 2, -2], [-1, 0, 1, 0, 0, 0, -2, 1], [-4, 4, 4, -4, 4, 2, 0, 4], [1, -2, 3, 1, -1, 2, -1, -1], [1, 0, 0, 0, 0, 1, 0, 0], [0, -2, 0, 0, 0, 0, -2, 0], [0, 0, 0, 0, 3, 0, 0, 3], [0, 0, -3, 3, 0, 0, 3, -3], [4, 0, -4, 4, 0, 0, 4, -4], [0, 2, 0, 0, 3, 0, 0, 2], [-2, 0, 0, 0, 2, -2, 0, 1], [2, 0, 0, -2, 0, 0, 2, 0], [-3, 0, 3, 0, 0, 0, 5, 3], [-1, 0, 0, 0, 0, -1, 0, 0], [4, 2, -4, 4, -4, -4, 6, -4], [7, -1, 0, 0, -1, 7, 0, 0], [0, 0, 1, 0, 0, 1, 0, 0], [-1, 1, 0, -1, 1, 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-9], [23, 0, -33, 23, 0, 0, 33, -33], [-12, 0, 12, -12, 0, 0, -12, 12], [-8, 0, 1, -8, 0, 0, -1, 1], [18, -18, 0, 0, -2, 18, 0, -2], [-24, 0, 0, 0, 24, -24, 0, 30], [-21, 20, 0, 0, 0, -21, 0, 21], [-13, 0, 0, 0, 0, -13, 0, 13], [0, 0, 21, 6, 0, 0, 6, 21], [-37, 16, 0, -37, 37, -16, -21, 37], [25, -6, -19, 25, -25, 0, 19, -25], [30, -30, -30, 30, -30, 8, 0, -30], [5, 32, 0, 0, 32, 5, 0, 0], [-49, 0, 54, -49, 0, 0, -54, 54], [42, -22, 0, 42, -42, 22, 20, -42], [30, 0, -12, 12, 0, 0, 0, -12], [7, -7, 0, 0, -1, 7, 0, -1], [18, 0, 0, 0, -18, 18, 0, -35], [7, 12, -19, 7, -7, 0, 19, -7], [15, 0, -15, 0, 0, 0, 35, -15], [-30, 0, -10, -30, 0, 0, 10, -10], [28, 2, -30, 28, -28, 0, 30, -28], [-15, -13, 0, 0, 0, -15, 0, 15], [0, 4, 0, 0, 8, 0, 0, 4], [7, -7, -7, 7, -7, 26, 0, -7], [-22, 0, -9, -22, 22, -22, -22, 22], [13, -13, -13, 13, -13, -3, 0, -13], [-17, 38, 0, -17, 17, -38, 21, 17], [-31, 0, 31, 0, 0, 0, -29, 31], [-24, 0, -5, -24, 24, -24, -24, 24], [-15, 15, 15, -15, 15, -22, 0, 15], [3, 0, 0, 0, -3, 3, 0, 0]], 'char_orbit_index': 14, 'field_poly': [1, -1, 0, 1, -1, 1, 0, -1, 1], 'hecke_orbit_code': 9008092641493410, 'hecke_ring_character_values': [[343, [0, 0, -1, 0, 0, 0, 0, -1]], [287, [-1, 0, 0, 0, 0, -1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 8, 'label': '418.2.n.c', 'level': 418, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1672, 'analytic_conductor': 3.33774680448952, 'char_conductor': 209, 'char_degree': 8, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 15, 'char_parity': 1, 'char_values': [418, 15, [343, 287], [6, 10]], 'conrey_index': 49, 'cusp_dim': 448, 'dim': 160, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 893386752418, 'hecke_orbit_dims': [8, 8, 8, 64, 72], 'label': '418.2.n', 'level': 418, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 11, 19], 'level_radical': 418, 'mf_dim': 512, 'mf_new_dim': 160, 'num_forms': 5, 'prim_orbit_index': 14, 'relative_dim': 20, 'sturm_bound': 120, 'trace_bound': 3, 'trace_display': [2, -2, 4, 12], 'traces': [160, 2, -2, 20, 4, 3, 12, -4, 18, -16, 2, 4, 20, 14, -8, 20, 4, -18, 3, -8, -32, -9, -12, 3, 48, -12, -2, 4, 36, -20, -8, -8, -10, 28, -6, 23, 0, -22, -36, 4, 20, 28, 64, -6, -56, -40, -18, -2, 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-4, -24, -202, -244, -136, 105, -288, 136, -10, -56, 92, -204, -716, 256, 84, 58, -540, -116, 189, -28, 400, -24, -38, 12, 324, 2, 180, 78, 156, -20, -196, -488, 592, 20, -328, -528, -528, -2, -214, 86, 70, 68, 352, 278, -504, 134, -492, 69, 140, -40, -414, 424, 44, -60, -260, -708, -130, -20, 154, -12, -246, -260, -30, -172, 202, 32, 112, -78, -292, -88, 96, 448, -154, 36, -82, 112, -218, 64, -212, -60, 112, 64, -348, 32, 218, 106, -726, -168, -244, -6, -164, -348, -496, -220, -190, -49, -350, 5, 158, -184, 27, -256, -52, 96, 262, 20, -226, 184, -432, 84, -222, 264, 456, 50, 120, -176, 258, -100, -612, 338, -128, -42, 349, 138, -165, 54, 944, 88, 556, 38, 140, -532, 98, 100, -848, 62, -184, -54, 230, -340, -386, 224, -166, 90, 138, 40, -1318, -32, 146, 268, -320, -196, 374, -20, 226, -69, -360, -125, -264, -350, 194, 76, 102, -26, -242, -112, 102, 156, 512, 32, -83, 18, -74, 114, 42, -512, -378, -104, -826, 98, -2, 162, 86, -152, -216, 55, -18, 148, -466, -72, -168, 108, 26, 50, -980, -118, 4, -176, 170, -48, 1100, 40, -68, 8, 138, -156, -596, -626, -54, 32, 106, -80, 280, 24, -466, -324, -206, -16, -124, 129, 150, -148, 496, -237, -48, -92, -276, -228, -390, 52, -16, 226, 224, -38, 922, -190, -776, 16, 170, 87, -860, -24, -309, -102, -48, -164, 40, -74, 118, 2, 88, 24, 29, 240, -92, -360, -512, -56, -114, -140, -580, -70, -380, 184, -64, 28, -488, 57, -60, 2, 196, -339, 188, -40, -244, -110, -222, 12, -1424, 16, -336, -8, -184, 664, -83, 105, 188, 2, 0, -22, 230, 536, 128, -184, -108, -258, -360, -84, -904, -742, 6, -40, 848, -24, -8, 94, 132, -52, 700, -126, 8, 574, 116, -12, -153, 248, 632, -216, -156, 238, 600, 576], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 308762
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 14, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '418.2.n.c', 'source_level': 418, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '418.2.n.c', 'target_level': 418, 'twist_class_label': '418.2.n.c', 'twist_class_level': 418, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 308763
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '418.2.n.c', 'source_level': 418, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '418.2.n.c', 'target_level': 418, 'twist_class_label': '418.2.n.c', 'twist_class_level': 418, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 308764
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '418.2.n.c', 'source_level': 418, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '418.2.n.c', 'target_level': 418, 'twist_class_label': '418.2.n.c', 'twist_class_level': 418, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 308765
{'conductor': 209, 'degree': 8, 'multiplicity': 1, 'order': 15, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '418.2.n.c', 'source_level': 418, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '418.2.n.c', 'target_level': 418, 'twist_class_label': '418.2.n.c', 'twist_class_level': 418, 'twisting_char_label': '209.n', 'twisting_char_orbit': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 860675
{'charpoly_factorization': [[[1, -1, 0, 1, -1, 1, 0, -1, 1], 1]], 'hecke_orbit_code': 9008092641493410, 'p': 2}
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id: 860676
{'charpoly_factorization': [[[256, -128, 0, 32, -16, 8, 0, -2, 1], 1]], 'hecke_orbit_code': 9008092641493410, 'p': 3}
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id: 860677
{'charpoly_factorization': [[[1, 4, 10, 26, 39, -14, -5, -1, 1], 1]], 'hecke_orbit_code': 9008092641493410, 'p': 5}
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id: 860678
{'charpoly_factorization': [[[1, -7, 19, -3, 1], 2]], 'hecke_orbit_code': 9008092641493410, 'p': 7}
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id: 860679
{'charpoly_factorization': [[[121, -11, -9, -1, 1], 2]], 'hecke_orbit_code': 9008092641493410, 'p': 11}
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id: 860680
{'charpoly_factorization': [[[6561, 6561, 3645, 1944, 729, 54, 0, 6, 1], 1]], 'hecke_orbit_code': 9008092641493410, 'p': 13}
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id: 860681
{'charpoly_factorization': [[[2825761, 620289, 58835, 3526, -1041, -554, -30, 4, 1], 1]], 'hecke_orbit_code': 9008092641493410, 'p': 17}
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id: 860682
{'charpoly_factorization': [[[130321, 27436, -1083, -1672, -295, -88, -3, 4, 1], 1]], 'hecke_orbit_code': 9008092641493410, 'p': 19}
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id: 860683
{'charpoly_factorization': [[[1, -1, 1], 4]], 'hecke_orbit_code': 9008092641493410, 'p': 23}
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id: 860684
{'charpoly_factorization': [[[625, 625, 250, 125, 75, 25, 10, 5, 1], 1]], 'hecke_orbit_code': 9008092641493410, 'p': 29}
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id: 860685
{'charpoly_factorization': [[[961, -31, 76, 14, 1], 2]], 'hecke_orbit_code': 9008092641493410, 'p': 31}
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id: 860686
{'charpoly_factorization': [[[361, -38, 24, -7, 1], 2]], 'hecke_orbit_code': 9008092641493410, 'p': 37}
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id: 860687
{'charpoly_factorization': [[[38950081, 10353819, 1248200, 162661, 20319, 1261, 120, 19, 1], 1]], 'hecke_orbit_code': 9008092641493410, 'p': 41}
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id: 860688
{'charpoly_factorization': [[[841, 232, 93, -8, 1], 2]], 'hecke_orbit_code': 9008092641493410, 'p': 43}
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id: 860689
{'charpoly_factorization': [[[1, -1, 0, 1, -1, 1, 0, -1, 1], 1]], 'hecke_orbit_code': 9008092641493410, 'p': 47}
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id: 860690
{'charpoly_factorization': [[[33362176, -6145664, 577600, -55936, -816, 1744, -80, -4, 1], 1]], 'hecke_orbit_code': 9008092641493410, 'p': 53}
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id: 860691
{'charpoly_factorization': [[[2825761, 1171657, 252150, 53177, 8579, 413, 30, 13, 1], 1]], 'hecke_orbit_code': 9008092641493410, 'p': 59}
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id: 860692
{'charpoly_factorization': [[[96059601, 17465382, 1764180, 197802, 5589, -3132, -135, 3, 1], 1]], 'hecke_orbit_code': 9008092641493410, 'p': 61}
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id: 860693
{'charpoly_factorization': [[[1681, -369, 122, 9, 1], 2]], 'hecke_orbit_code': 9008092641493410, 'p': 67}
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id: 860694
{'charpoly_factorization': [[[12117361, 3902201, 609175, 97114, 13179, 734, 70, 16, 1], 1]], 'hecke_orbit_code': 9008092641493410, 'p': 71}
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id: 860695
{'charpoly_factorization': [[[33362176, 6145664, 577600, 55936, -816, -1744, -80, 4, 1], 1]], 'hecke_orbit_code': 9008092641493410, 'p': 73}
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id: 860696
{'charpoly_factorization': [[[1679616, -839808, 233280, -62208, 11664, -432, 0, -12, 1], 1]], 'hecke_orbit_code': 9008092641493410, 'p': 79}
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id: 860697
{'charpoly_factorization': [[[841, -87, 109, 17, 1], 2]], 'hecke_orbit_code': 9008092641493410, 'p': 83}
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id: 860698
{'charpoly_factorization': [[[361, 304, 237, 16, 1], 2]], 'hecke_orbit_code': 9008092641493410, 'p': 89}
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id: 860699
{'charpoly_factorization': [[[100000000, 20000000, 0, 200000, 90000, 8000, 500, 30, 1], 1]], 'hecke_orbit_code': 9008092641493410, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 14, 'hecke_orbit': 3, 'label': '418.2.n.c', 'level': 418, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 122421000
{'hecke_orbit_code': 9008092641493410, 'n': 1, 'trace_an': 8}
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id: 122421001
{'hecke_orbit_code': 9008092641493410, 'n': 2, 'trace_an': 1}
-
id: 122421002
{'hecke_orbit_code': 9008092641493410, 'n': 3, 'trace_an': 2}
-
id: 122421003
{'hecke_orbit_code': 9008092641493410, 'n': 4, 'trace_an': 1}
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id: 122421004
{'hecke_orbit_code': 9008092641493410, 'n': 5, 'trace_an': 1}
-
id: 122421005
{'hecke_orbit_code': 9008092641493410, 'n': 6, 'trace_an': 2}
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id: 122421006
{'hecke_orbit_code': 9008092641493410, 'n': 7, 'trace_an': 6}
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id: 122421007
{'hecke_orbit_code': 9008092641493410, 'n': 8, 'trace_an': -2}
-
id: 122421008
{'hecke_orbit_code': 9008092641493410, 'n': 9, 'trace_an': 1}
-
id: 122421009
{'hecke_orbit_code': 9008092641493410, 'n': 10, 'trace_an': 6}
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id: 122421010
{'hecke_orbit_code': 9008092641493410, 'n': 11, 'trace_an': 2}
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id: 122421011
{'hecke_orbit_code': 9008092641493410, 'n': 12, 'trace_an': 16}
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id: 122421012
{'hecke_orbit_code': 9008092641493410, 'n': 13, 'trace_an': -6}
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id: 122421013
{'hecke_orbit_code': 9008092641493410, 'n': 14, 'trace_an': -3}
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id: 122421014
{'hecke_orbit_code': 9008092641493410, 'n': 15, 'trace_an': -8}
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id: 122421015
{'hecke_orbit_code': 9008092641493410, 'n': 16, 'trace_an': 1}
-
id: 122421016
{'hecke_orbit_code': 9008092641493410, 'n': 17, 'trace_an': -4}
-
id: 122421017
{'hecke_orbit_code': 9008092641493410, 'n': 18, 'trace_an': -2}
-
id: 122421018
{'hecke_orbit_code': 9008092641493410, 'n': 19, 'trace_an': -4}
-
id: 122421019
{'hecke_orbit_code': 9008092641493410, 'n': 20, 'trace_an': -2}
-
id: 122421020
{'hecke_orbit_code': 9008092641493410, 'n': 21, 'trace_an': -16}
-
id: 122421021
{'hecke_orbit_code': 9008092641493410, 'n': 22, 'trace_an': -1}
-
id: 122421022
{'hecke_orbit_code': 9008092641493410, 'n': 23, 'trace_an': 4}
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id: 122421023
{'hecke_orbit_code': 9008092641493410, 'n': 24, 'trace_an': 2}
-
id: 122421024
{'hecke_orbit_code': 9008092641493410, 'n': 25, 'trace_an': 6}
-
id: 122421025
{'hecke_orbit_code': 9008092641493410, 'n': 26, 'trace_an': -18}
-
id: 122421026
{'hecke_orbit_code': 9008092641493410, 'n': 27, 'trace_an': 8}
-
id: 122421027
{'hecke_orbit_code': 9008092641493410, 'n': 28, 'trace_an': 7}
-
id: 122421028
{'hecke_orbit_code': 9008092641493410, 'n': 29, 'trace_an': -5}
-
id: 122421029
{'hecke_orbit_code': 9008092641493410, 'n': 30, 'trace_an': 16}
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