# Stored data for newform 4025.2.a.r, downloaded from the LMFDB on 19 April 2024. {"label": "4025.2.a.r", "space_label": "4025.2.a", "level": 4025, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561193698856889, "dim": 5, "is_polredabs": true, "nf_label": "5.5.122821.1", "trace_hash": 962668615055403874, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, -4, 10, -2, -3, 1]], [3, [-1, -13, 7, 8, -6, 1]], [11, [-452, -612, -185, 14, 11, 1]]], "qexp_display": "q+(1-\\beta _{1})q^{2}+(1+\\beta _{3})q^{3}+(\\beta _{3}+\\beta _{4})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16100, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 32.13978681356535, "hecke_ring_index": 1, "level_radical": 805, "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": "0.007", "prec": 17}, "analytic_rank_proved": true, "char_values": [4025, 1, [2577, 1151, 3501], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 7, 23], "conrey_indexes": [1], "field_disc": 122821, "field_disc_factorization": [[263, 1], [467, 1]], "field_poly": [-1, 3, 4, -4, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.030", "prec": 17}, {"__RealLiteral__": 0, "data": "4.813", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "68.609", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1558.276", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", 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