# Stored data for newform 3525.2.a.x, downloaded from the LMFDB on 18 April 2024.
{"label": "3525.2.a.x", "space_label": "3525.2.a", "level": 3525, "weight": 2, "hecke_orbit": 24, "hecke_orbit_code": 103582791463079365, "dim": 7, "is_polredabs": true, "trace_hash": 1791570218708201671, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, 0, 15, 0, -18, -5, 3, 1]], [7, [-5, -6, 53, -17, -51, -7, 5, 1]], [11, [1137, 39, -844, 161, 126, -31, -4, 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": 14100, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 28.147266712501334, "hecke_ring_index": 1, "level_radical": 705, "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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [3525, 1, [2351, 1552, 2026], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 47], "conrey_indexes": [1], "field_disc": 2419317249, "field_disc_factorization": [[3, 1], [593, 1], [953, 1], [1427, 1]], "field_poly": [1, 0, -15, 0, 18, -5, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6.411", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "112.993", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3024.693", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 7, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, -1], [47, -1]], "trace_display": [-3, 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