# Stored data for newform 9025.2.a.r, downloaded from the LMFDB on 18 April 2024.
{"label": "9025.2.a.r", "space_label": "9025.2.a", "level": 9025, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561193698861889, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1993131179966894183, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-5, 0, 1]], [3, [-2, 1]], [7, [-4, -2, 1]], [11, [4, -6, 1]], [29, [-29, 3, 1]]], "qexp_display": "q+(1-2\\beta )q^{2}+2q^{3}+3q^{4}+(2-4\\beta )q^{6}+\\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": 10, "field_poly_is_real_cyclotomic": true, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [9025, 1, [5777, 3251], [1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [5, 19], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.019", "prec": 17}, {"__RealLiteral__": 0, "data": "1.913", "prec": 17}, {"__RealLiteral__": 0, "data": "0.075", "prec": 17}, {"__RealLiteral__": 0, "data": "9.053", "prec": 17}, {"__RealLiteral__": 0, "data": "0.026", "prec": 17}, {"__RealLiteral__": 0, "data": "59.330", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [19, -1]], "trace_display": [0, 4, 0, 2], "traces": [0, 2, 0, 4, 6, 0, 0, 2, 0, 2, 0, 6, 12, 3, 10, 0, -2, 1, 0, 0, 0, 4, -10, 0, 0, 0, 15, 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