# Stored data for newform 91.8.a.c, downloaded from the LMFDB on 24 April 2024.
{"label": "91.8.a.c", "space_label": "91.8.a", "level": 91, "weight": 8, "hecke_orbit": 3, "hecke_orbit_code": 9007199388958811, "dim": 10, "is_polredabs": true, "trace_hash": 991646101825399116, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [3385168384, 6785706432, 992532576, -272954592, -24903776, 3157452, 222070, -13416, -813, 18, 1]]], "qexp_display": "q+(-2+\\beta _{1})q^{2}+(-8-\\beta _{1}+\\beta _{3})q^{3}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5824, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 28.42703731905508, "hecke_ring_index": 576, "level_radical": 91, "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": 0, "analytic_rank_proved": true, "char_values": [91, 1, [66, 15], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [7, 13], "conrey_indexes": [1], "field_disc": 15872006768623814658531349397088877785347881728, "field_disc_factorization": [[2, 8], [3, 2], [31, 1], [222222316989020702544401733270173580103997, 1]], "field_poly": [-4516262912, 541859072, 1840757376, 11067840, -40367312, -241884, 310102, 1224, -957, -2, 1], "hecke_ring_index_factorization": [[2, 6], [3, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.324", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "249.523", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10590.795", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, "sato_tate_group": "7.2.3.c1", 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