# Stored data for newform 3525.2.a.r, downloaded from the LMFDB on 16 April 2024.
{"label": "3525.2.a.r", "space_label": "3525.2.a", "level": 3525, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561193698856389, "dim": 2, "is_polredabs": true, "nf_label": "2.2.17.1", "trace_hash": 695872180714133536, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-4, -1, 1]], [7, [-2, -3, 1]], [11, [2, 1]]], "qexp_display": "q+\\beta q^{2}+q^{3}+(2+\\beta )q^{4}+\\beta q^{6}+(2+\\cdots)q^{7}+\\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": "0.008", "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": 17, "field_disc_factorization": [[17, 1]], "field_poly": [-4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.062", "prec": 17}, {"__RealLiteral__": 0, "data": "1.942", "prec": 17}, {"__RealLiteral__": 0, "data": "0.045", "prec": 17}, {"__RealLiteral__": 0, "data": "9.520", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "64.570", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [47, 1]], "trace_display": [1, 2, 0, 3], "traces": [0, 2, 1, 2, 5, 0, 1, 3, 9, 2, 0, -4, 5, 2, -7, 0, 3, 5, 1, -3, 0, 3, -2, 10, 9, 0, 1, 2, -1, 11, 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