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{'Nk2': 20900, 'analytic_conductor': 41.721835056119, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [11, 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': [5225, 1, [2927, 2851, 4676], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 15, 'field_disc': 34315226521002394126256548537, 'field_disc_factorization': [[125621, 1], [576217, 1], [474065724875212541, 1]], 'field_poly': [-5, -93, -171, 485, 793, -1160, -1055, 1239, 606, -645, -165, 168, 21, -21, -1, 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': [[2, [5, -93, 171, 485, -793, -1160, 1055, 1239, -606, -645, 165, 168, -21, -21, 1, 1]], [7, [78609, -284689, 99459, 576209, -509711, -200034, 329737, -37894, -65992, 21402, 3534, -2497, 197, 78, -17, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580969577, 'hecke_ring_generator_nbound': 3, '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': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '5225.2.a.u', 'level': 5225, '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': [5, 11, 19], 'level_radical': 1045, 'minimal_twist': '5225.2.a.u', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+\\beta _{7}q^{3}+(1+\\beta _{2})q^{4}+\\beta _{4}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 15, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5225.2.a', 'trace_display': [-1, 4, 0, 17], 'trace_hash': 1960645235140251686, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.277', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.024', 'prec': 20}, {'__RealLiteral__': 0, 'data': '12.393', 'prec': 20}, {'__RealLiteral__': 0, 'data': '421.032', 'prec': 24}, {'__RealLiteral__': 0, 'data': '616.549', 'prec': 24}, {'__RealLiteral__': 0, 'data': '24048.997', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [15, -1, 4, 13, 0, -1, 17, 3, 15, 0, -15, 9, 3, -11, 0, 13, 1, -10, 15, 0, 16, 1, 18, -27, 0, 15, 31, 34, 11, 0, -2, 10, -4, -13, 0, 8, 27, -1, 4, 0, 6, 2, 38, -13, 0, -9, 14, 32, 28, 0, -32, 16, 11, -11, 0, 2, 4, -6, 13, 0, 8, 7, 49, 9, 0, 1, 31, -26, 39, 0, -3, -18, 18, 7, 0, 13, -17, 18, 10, 0, 31, 58, 16, 112, 0, -63, 67, -3, -7, 0, -50, 98, 26, 22, 0, -37, 24, -46, -15, 0, -16, 26, 58, 34, 0, -47, 18, 103, 0, 0, -29, 51, 11, 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mf_newspaces • Show schema
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{'ALdims': [32, 37, 35, 30, 41, 31, 35, 45], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [32, 47, 43, 39, 36, 39, 37, 30], 'Nk2': 20900, 'analytic_conductor': 41.721835056119, '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': [5225, 1, [2927, 2851, 4676], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 589, 'dim': 286, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33559657, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 6, 6, 7, 7, 8, 9, 9, 15, 15, 15, 15, 15, 15, 15, 15, 16, 20, 22, 30], 'label': '5225.2.a', 'level': 5225, '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': [5, 11, 19], 'level_radical': 1045, 'mf_dim': 612, 'mf_new_dim': 286, 'num_forms': 29, 'plus_dim': 128, 'prim_orbit_index': 1, 'relative_dim': 286, 'sturm_bound': 1200, 'trace_bound': 7, 'trace_display': [2, 2, 0, 0], 'traces': [286, 2, 2, 288, 0, -4, 0, -6, 300, 0, 4, -24, 16, -4, 0, 300, 16, -22, 0, 0, 32, 0, -10, -20, 0, -20, 14, 32, 8, 0, 14, 10, 2, 20, 0, 360, 38, -6, -36, 0, -4, 64, -20, 18, 0, 48, -32, 28, 322, 0, -32, 84, 36, 16, 0, 44, 0, 4, -2, 0, 28, 28, -24, 268, 0, 8, -14, 56, 42, 0, -2, -30, 48, -44, 0, 0, -12, 84, 16, 0, 334, 36, -48, 168, 0, 24, -28, 0, 30, 0, 24, -28, -14, -72, 0, -4, 50, 42, -18, 0, -104, 16, 20, -44, 0, -20, 28, 48, -88, 0, -38, 40, 74, 8, 0, -28, 4, -100, 72, 0, 286, -52, -8, 68, 0, -92, 76, 50, -12, 0, 28, 8, -4, -20, 0, -76, -26, 16, 40, 0, -176, -92, 0, 368, 0, -236, 62, 12, -84, 0, 44, -30, 56, 40, 0, -256, 38, 112, -76, 0, -48, -190, 72, -252, 0, -56, -100, 144, 318, 0, -8, -96, -68, -340, 0, 38, -74, -84, -6, 0, 22, -80, 52, 104, 0, -120, 4, 8, -104, 0, 26, 44, 28, -44, 0, 364, -16, 44, 96, 0, 30, -100, 44, -32, 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222, -176, -8, 0, 132, 232, -140, 48, 0, -560, 116, -128, 396, 0, 142, -190, 56, 328, 0, 232, 12, -304, 544, 0, -68, 200, -32, 480, 0, 260, -196, 12, -140, 0, -600, 92, 8, -564, 0, 232, -132, -104, -504, 0, 124, 68, 36, 412, 0, 40, 244, -56, 144, 0, 116, -188, -20, -76, 0, -592, 200, -60, -72, 0, 32, -416, 32, 0, 0, 144, 356, -4, -194, 0, -236, 40, 152, 236, 0, 40, -150, 0, -296, 0, -178, 32, -268, -556, 0, 360, 0, -188, 208, 0, 684, 240, -256, -132, 0, -352, 228, -6, -64, 0, 154, -328, 304, 92, 0, 480, -110, 80, 98, 0, 140, -44, -58, -388, 0, 168, 128, 88, 412, 0, 152, 164, 46, -208, 0, -424, 80, 160, -202, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48324440
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 15, 'source_embedding_index': 11, 'source_hecke_orbit_code': 90071992580969577, 'source_is_minimal': True, 'source_label': '5225.2.a.u.1.11', 'source_level': 5225, 'target_conrey_index': 1, 'target_dim': 15, 'target_embedding_index': 11, 'target_hecke_orbit_code': 90071992580969577, 'target_is_minimal': True, 'target_label': '5225.2.a.u.1.11', 'target_level': 5225, 'twist_class_label': '5225.2.a.u.1.11', 'twist_class_level': 5225, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48324441
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 15, 'source_embedding_index': 11, 'source_hecke_orbit_code': 90071992580969577, 'source_is_minimal': True, 'source_label': '5225.2.a.u.1.11', 'source_level': 5225, 'target_conrey_index': 1, 'target_dim': 15, 'target_embedding_index': 5, 'target_hecke_orbit_code': 94575592208340073, 'target_is_minimal': True, 'target_label': '5225.2.a.v.1.5', 'target_level': 5225, 'twist_class_label': '5225.2.a.u.1.11', 'twist_class_level': 5225, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3835075
{'charpoly_factorization': [[[5, -93, 171, 485, -793, -1160, 1055, 1239, -606, -645, 165, 168, -21, -21, 1, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 2}
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id: 3835076
{'charpoly_factorization': [[[3, 68, 549, 1890, 2056, -2448, -4704, 1777, 2921, -771, -768, 185, 91, -22, -4, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 3}
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id: 3835077
{'charpoly_factorization': [[[0, 1], 15]], 'hecke_orbit_code': 90071992580969577, 'p': 5}
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id: 3835078
{'charpoly_factorization': [[[78609, -284689, 99459, 576209, -509711, -200034, 329737, -37894, -65992, 21402, 3534, -2497, 197, 78, -17, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 7}
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id: 3835079
{'charpoly_factorization': [[[1, 1], 15]], 'hecke_orbit_code': 90071992580969577, 'p': 11}
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id: 3835080
{'charpoly_factorization': [[[-6684389, 19672470, -11012245, -12638888, 11234550, 1708292, -3228169, 235750, 380316, -65165, -18612, 4254, 393, -110, -3, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 13}
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id: 3835081
{'charpoly_factorization': [[[13089, 92590, -706925, 502909, 1023300, -868481, -406491, 361090, 65177, -58606, -4521, 4039, 134, -113, -1, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 17}
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id: 3835082
{'charpoly_factorization': [[[-1, 1], 15]], 'hecke_orbit_code': 90071992580969577, 'p': 19}
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id: 3835083
{'charpoly_factorization': [[[-132200, 793992, 356822, -4660291, -2072369, 4344836, 914578, -1519214, 76068, 159456, -23839, -5452, 1261, 18, -18, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 23}
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id: 3835084
{'charpoly_factorization': [[[-1033217016, 14996269792, -10268905366, -6679724863, 3998253579, 399824757, -382518708, 3082534, 15716672, -794566, -315847, 22712, 3029, -254, -11, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 29}
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id: 3835085
{'charpoly_factorization': [[[1751332969, 2440907527, -3482312473, 70666663, 944138793, -209505361, -72297934, 24061823, 2035764, -1077812, -15939, 23272, -156, -244, 2, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 31}
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id: 3835086
{'charpoly_factorization': [[[11533069, 109082138, 244076286, 45405167, -182077858, -1022907, 44824367, -8135229, -2709187, 854308, 5841, -23763, 1984, 149, -27, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 37}
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id: 3835087
{'charpoly_factorization': [[[-2328385177, 9598542912, -12161712387, 2966360598, 3447093427, -1259202615, -381666721, 102297288, 14639808, -3267321, -251490, 49565, 2000, -359, -6, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 41}
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id: 3835088
{'charpoly_factorization': [[[38811601, -121422039, -24880452, 256473708, -37844890, -107259193, 29360407, 12210019, -5241201, 50717, 221500, -30372, -805, 476, -38, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 43}
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id: 3835089
{'charpoly_factorization': [[[558835437, 4397528701, 2923155918, -5951084751, 114063264, 1524384439, -354660768, -61310383, 24301164, -66604, -524877, 24730, 4572, -293, -14, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 47}
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id: 3835090
{'charpoly_factorization': [[[-665077574267, -653236709984, 84089477656, 205857042008, 19984232604, -15332254517, -1816925784, 516080827, 55104177, -9304479, -757507, 93362, 4773, -486, -11, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 53}
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id: 3835091
{'charpoly_factorization': [[[-51376062089, 161795129735, -138477399504, 1969872698, 30058462455, -1568966984, -1919190152, 114250054, 54810078, -3587642, -773247, 54517, 5181, -385, -13, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 59}
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id: 3835092
{'charpoly_factorization': [[[-4019482787, 11428072791, -3953849430, -7406135597, 5192034440, -98198847, -562467676, 64613511, 22666130, -2950338, -404653, 52450, 3120, -395, -8, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 61}
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id: 3835093
{'charpoly_factorization': [[[-1253487348767, 282394900700, 404142605617, -121523439951, -32105025274, 13269988513, 476329868, -553589178, 25524896, 9853150, -919965, -63370, 9877, -51, -31, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 67}
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id: 3835094
{'charpoly_factorization': [[[-8569180307, -10007069409, 10964529557, 8987847501, -1687344766, -1311014419, 109184746, 79702266, -3741964, -2440111, 72150, 39359, -735, -317, 3, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 71}
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id: 3835095
{'charpoly_factorization': [[[-40852177291, -88562982382, -18240146282, 41400331047, 13136240890, -4419686294, -1570232587, 153512813, 59972417, -3278405, -997829, 49259, 7165, -373, -18, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 73}
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id: 3835096
{'charpoly_factorization': [[[-6539792293, -7651847748, 11705325970, 11082339923, -2890203794, -3180660474, -145763133, 202513651, 16974601, -5462391, -419215, 71079, 3667, -441, -10, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 79}
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id: 3835097
{'charpoly_factorization': [[[7176867851, -77925937495, 7694099022, 44929143912, 1743745264, -8139776519, -1323300844, 316976025, 59424794, -6009662, -1006141, 69882, 7146, -451, -16, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 83}
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id: 3835098
{'charpoly_factorization': [[[-464591789865437, -69341864117927, 53143792271542, 7059883176310, -2148855419730, -278100463157, 40364168295, 5250642151, -401375954, -53080882, 2186064, 295479, -6159, -854, 7, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 89}
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id: 3835099
{'charpoly_factorization': [[[799389137752, -4173198493024, -5613529975426, -61791254153, 523952462758, 10419751137, -19495803517, -82138220, 360663146, -4736986, -3392131, 91721, 14872, -535, -24, 1], 1]], 'hecke_orbit_code': 90071992580969577, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '5225.2.a.u', 'level': 5225, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64378459
{'hecke_orbit_code': 90071992580969577, 'n': 1, 'trace_an': 15}
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id: 64378460
{'hecke_orbit_code': 90071992580969577, 'n': 2, 'trace_an': -1}
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id: 64378461
{'hecke_orbit_code': 90071992580969577, 'n': 3, 'trace_an': 4}
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id: 64378462
{'hecke_orbit_code': 90071992580969577, 'n': 4, 'trace_an': 13}
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id: 64378463
{'hecke_orbit_code': 90071992580969577, 'n': 5, 'trace_an': 0}
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id: 64378464
{'hecke_orbit_code': 90071992580969577, 'n': 6, 'trace_an': -1}
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id: 64378465
{'hecke_orbit_code': 90071992580969577, 'n': 7, 'trace_an': 17}
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id: 64378466
{'hecke_orbit_code': 90071992580969577, 'n': 8, 'trace_an': 3}
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id: 64378467
{'hecke_orbit_code': 90071992580969577, 'n': 9, 'trace_an': 15}
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id: 64378468
{'hecke_orbit_code': 90071992580969577, 'n': 10, 'trace_an': 0}
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id: 64378469
{'hecke_orbit_code': 90071992580969577, 'n': 11, 'trace_an': -15}
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id: 64378470
{'hecke_orbit_code': 90071992580969577, 'n': 12, 'trace_an': 9}
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id: 64378471
{'hecke_orbit_code': 90071992580969577, 'n': 13, 'trace_an': 3}
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id: 64378472
{'hecke_orbit_code': 90071992580969577, 'n': 14, 'trace_an': -11}
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id: 64378473
{'hecke_orbit_code': 90071992580969577, 'n': 15, 'trace_an': 0}
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id: 64378474
{'hecke_orbit_code': 90071992580969577, 'n': 16, 'trace_an': 13}
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id: 64378475
{'hecke_orbit_code': 90071992580969577, 'n': 17, 'trace_an': 1}
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id: 64378476
{'hecke_orbit_code': 90071992580969577, 'n': 18, 'trace_an': -10}
-
id: 64378477
{'hecke_orbit_code': 90071992580969577, 'n': 19, 'trace_an': 15}
-
id: 64378478
{'hecke_orbit_code': 90071992580969577, 'n': 20, 'trace_an': 0}
-
id: 64378479
{'hecke_orbit_code': 90071992580969577, 'n': 21, 'trace_an': 16}
-
id: 64378480
{'hecke_orbit_code': 90071992580969577, 'n': 22, 'trace_an': 1}
-
id: 64378481
{'hecke_orbit_code': 90071992580969577, 'n': 23, 'trace_an': 18}
-
id: 64378482
{'hecke_orbit_code': 90071992580969577, 'n': 24, 'trace_an': -27}
-
id: 64378483
{'hecke_orbit_code': 90071992580969577, 'n': 25, 'trace_an': 0}
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id: 64378484
{'hecke_orbit_code': 90071992580969577, 'n': 26, 'trace_an': 15}
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id: 64378485
{'hecke_orbit_code': 90071992580969577, 'n': 27, 'trace_an': 31}
-
id: 64378486
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