# Stored data for newform 8025.2.a.x, downloaded from the LMFDB on 02 May 2024.
{"label": "8025.2.a.x", "space_label": "8025.2.a", "level": 8025, "weight": 2, "hecke_orbit": 24, "hecke_orbit_code": 103582791463083865, "dim": 5, "is_polredabs": true, "nf_label": "5.5.240133.1", "trace_hash": 1702064835978503038, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 2, -6, -4, 2, 1]], [7, [-8, -29, -30, -5, 4, 1]], [11, [16, -51, 43, -4, -6, 1]], [13, [2, -1, -8, -2, 3, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+q^{3}+(\\beta _{1}+\\beta _{2})q^{4}-\\beta _{1}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32100, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 64.07994762207751, "hecke_ring_index": 1, "level_radical": 1605, "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": [8025, 1, [5351, 1927, 751], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 107], "conrey_indexes": [1], "field_disc": 240133, "field_disc_factorization": [[439, 1], [547, 1]], "field_poly": [-1, 2, 6, -4, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.481", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "53.623", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "961.187", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [107, -1]], "trace_display": [-2, 5, 0, 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