# Stored data for newform 3525.2.a.ba, downloaded from the LMFDB on 28 March 2024. {"label": "3525.2.a.ba", "space_label": "3525.2.a", "level": 3525, "weight": 2, "hecke_orbit": 27, "hecke_orbit_code": 117093590345190853, "dim": 7, "is_polredabs": true, "trace_hash": 334806929225292079, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [5, -6, -15, 16, 10, -9, -1, 1]], [7, [489, 978, 411, -181, -133, -7, 7, 1]], [11, [5, -41, -52, 133, 4, -23, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2}+\\beta _{3})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": "0.003", "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": 6454334961, "field_disc_factorization": [[3, 3], [163, 1], [499, 1], [2939, 1]], "field_poly": [5, -6, -15, 16, 10, -9, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6.576", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "124.160", "prec": 24}, {"__RealLiteral__": 0, "data": "63.210", "prec": 20}, {"__RealLiteral__": 0, "data": "3608.776", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 7, 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