# Stored data for newform 3525.2.a.u, downloaded from the LMFDB on 25 April 2024.
{"label": "3525.2.a.u", "space_label": "3525.2.a", "level": 3525, "weight": 2, "hecke_orbit": 21, "hecke_orbit_code": 90071992580967877, "dim": 4, "is_polredabs": true, "nf_label": "4.4.14656.1", "trace_hash": 1751371586239402762, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, -6, -4, 2, 1]], [7, [5, 16, -14, 0, 1]], [11, [-12, 8, 12, -8, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}+q^{3}+(2-\\beta _{1}+\\beta _{2}+\\cdots)q^{4}+\\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": "0.011", "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": 14656, "field_disc_factorization": [[2, 6], [229, 1]], "field_poly": [2, 4, -4, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.048", "prec": 17}, {"__RealLiteral__": 0, "data": "3.879", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "40.691", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "653.944", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [47, 1]], "trace_display": [-2, 4, 0, 0], "traces": [0, 4, -2, 4, 4, 0, -2, 0, -6, 4, 0, 8, 4, 6, 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