# Stored data for newform 4225.2.a.bi, downloaded from the LMFDB on 29 March 2024. {"label": "4225.2.a.bi", "space_label": "4225.2.a", "level": 4225, "weight": 2, "hecke_orbit": 35, "hecke_orbit_code": 153122387364155521, "dim": 4, "is_polredabs": true, "nf_label": "4.4.4752.1", "trace_hash": 315953089002379587, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, -4, -3, 2, 1]], [3, [1, 10, -6, -2, 1]], [7, [-11, 22, 30, 10, 1]], [11, [33, 0, -30, 0, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+\\beta _{3}q^{3}+(\\beta _{1}+\\beta _{2})q^{4}+(-\\beta _{1}+\\cdots)q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16900, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 33.736794853990965, "hecke_ring_index": 1, "level_radical": 65, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [4225, 1, [677, 3551], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 13], "conrey_indexes": [1], "field_disc": 4752, "field_disc_factorization": [[2, 4], [3, 3], [11, 1]], "field_poly": [1, 4, -3, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.092", "prec": 17}, {"__RealLiteral__": 0, "data": "3.679", "prec": 17}, {"__RealLiteral__": 0, "data": "1.149", "prec": 17}, {"__RealLiteral__": 0, "data": "36.796", "prec": 20}, {"__RealLiteral__": 0, "data": "24.890", "prec": 20}, {"__RealLiteral__": 0, "data": "545.561", "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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