# Stored data for newform 9025.2.a.bo, downloaded from the LMFDB on 18 April 2024. {"label": "9025.2.a.bo", "space_label": "9025.2.a", "level": 9025, "weight": 2, "hecke_orbit": 41, "hecke_orbit_code": 180143985128383297, "dim": 4, "is_polredabs": true, "nf_label": "4.4.2225.1", "trace_hash": 1268347232793639035, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [4, 2, -5, -1, 1]], [3, [1, 11, -8, -1, 1]], [7, [19, -53, 40, -11, 1]], [11, [-1, -10, -9, 0, 1]], [29, [-116, 50, 49, -15, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(-\\beta _{1}-\\beta _{3})q^{3}+(1+\\beta _{1}+\\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": 36100, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 72.06498782420555, "hecke_ring_index": 1, "level_radical": 95, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [9025, 1, [5777, 3251], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [5, 19], "conrey_indexes": [1], "field_disc": 2225, "field_disc_factorization": [[5, 2], [89, 1]], "field_poly": [4, 2, -5, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.071", "prec": 17}, {"__RealLiteral__": 0, "data": "3.682", "prec": 17}, {"__RealLiteral__": 0, "data": "0.571", "prec": 17}, {"__RealLiteral__": 0, "data": "38.384", "prec": 20}, {"__RealLiteral__": 0, "data": "4.891", "prec": 17}, {"__RealLiteral__": 0, "data": "618.116", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", 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