# Stored data for newform 91.8.a.b, downloaded from the LMFDB on 19 April 2024.
{"label": "91.8.a.b", "space_label": "91.8.a", "level": 91, "weight": 8, "hecke_orbit": 2, "hecke_orbit_code": 4503599761588315, "dim": 9, "is_polredabs": true, "trace_hash": 884912679215101300, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [316890112, 92525632, -60001504, -11208672, 935392, 169652, -3814, -760, 5, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}+(-3+\\beta _{2})q^{3}+(43+\\cdots)q^{4}+\\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": 128, "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": 807034598702483063767426094856403672576, "field_disc_factorization": [[2, 9], [13, 1], [593, 1], [484287881878777, 1], [422202251791368211, 1]], "field_poly": [176334338, 176026849, -22500802, -13204236, 56746, 176422, 1562, -764, -4, 1], "hecke_ring_index_factorization": [[2, 7]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.988", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "195.980", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7842.004", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 9, "sato_tate_group": "7.2.3.c1", "atkin_lehner_eigenvals": [[7, 1], [13, -1]], "trace_display": [-5, -26, -181, 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