# Stored data for newform 8752.2.a.s, downloaded from the LMFDB on 25 April 2024.
{"label": "8752.2.a.s", "space_label": "8752.2.a", "level": 8752, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326232112, "dim": 18, "is_polredabs": true, "trace_hash": 623084283526896073, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-32, 266, 221, -4092, -529, 17035, -4923, -27279, 17477, 13361, -12985, -1561, 3908, -485, -499, 141, 16, -10, 1]], [5, [-15872, -42046, 88161, 316340, 22692, -657632, -551465, 308466, 649756, 238435, -138777, -157710, -53562, -1378, 4872, 1771, 304, 27, 1]], [7, [-58576, -62202, 1038609, -1335870, -1344002, 3024596, -191995, -2110064, 916701, 455177, -382155, 23119, 41987, -9436, -1324, 591, -17, -11, 1]], [11, [-82432, -843423, 3523832, 5528150, -23371203, 7534045, 18625653, -6865320, -6381183, 1787123, 1134032, -191844, -104309, 9574, 4921, -224, -113, 2, 1]]], "qexp_display": "q+(1-\\beta _{9})q^{3}+(-2-\\beta _{3})q^{5}+(-\\beta _{1}+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 35008, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 69.8850718490246, "hecke_ring_index": 1, "level_radical": 1094, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.007", "prec": 17}, "analytic_rank_proved": true, "char_values": [8752, 1, [5471, 6565, 2737], [1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 547], "conrey_indexes": [1], "field_disc": 4823953520258511866105904755849, "field_disc_factorization": [[7, 1], [73, 1], [16097, 1], [43781, 1], [146768003, 1], [91268351929, 1]], "field_poly": [328, -654, -1851, 3834, 4048, -9021, -4274, 11068, 2068, -7703, -137, 3104, -282, -708, 116, 84, -18, -4, 1], 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