# Stored data for newform 9025.2.a.bp, downloaded from the LMFDB on 20 April 2024.
{"label": "9025.2.a.bp", "space_label": "9025.2.a", "level": 9025, "weight": 2, "hecke_orbit": 42, "hecke_orbit_code": 184647584755753793, "dim": 4, "is_polredabs": true, "nf_label": "4.4.7537.1", "trace_hash": 189264371238882445, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [6, 1, -6, -1, 1]], [3, [2, 5, -2, -3, 1]], [7, [-8, 15, -1, -4, 1]], [11, [3, -19, -25, 2, 1]], [29, [-141, -194, -63, -1, 1]]], "qexp_display": "q-\\beta _{2}q^{2}+(1-\\beta _{1})q^{3}+(1-\\beta _{2}+\\beta _{3})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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [9025, 1, [5777, 3251], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 19], "conrey_indexes": [1], "field_disc": 7537, "field_disc_factorization": [[7537, 1]], "field_poly": [3, 4, -5, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.137", "prec": 17}, {"__RealLiteral__": 0, "data": "3.783", "prec": 17}, {"__RealLiteral__": 0, "data": "1.394", "prec": 17}, {"__RealLiteral__": 0, "data": "39.796", "prec": 20}, {"__RealLiteral__": 0, "data": "18.396", "prec": 20}, {"__RealLiteral__": 0, "data": "643.649", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [19, -1]], "trace_display": [1, 3, 0, 4], "traces": 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