# Stored data for newform 3525.2.a.bb, downloaded from the LMFDB on 29 March 2024. {"label": "3525.2.a.bb", "space_label": "3525.2.a", "level": 3525, "weight": 2, "hecke_orbit": 28, "hecke_orbit_code": 121597189972561349, "dim": 7, "is_polredabs": true, "trace_hash": 677901116542054650, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [3, -12, -9, 20, 6, -9, -1, 1]], [7, [23, 206, -31, -201, 45, 29, -11, 1]], [11, [5, 21, -216, -365, -152, -3, 8, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-q^{3}+(1+\\beta _{1}+\\beta _{2}-\\beta _{3}+\\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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [3525, 1, [2351, 1552, 2026], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [3, 5, 47], "conrey_indexes": [1], "field_disc": 1639130769, "field_disc_factorization": [[3, 3], [17, 1], [3571091, 1]], "field_poly": [3, -12, -9, 20, 6, -9, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.091", "prec": 17}, {"__RealLiteral__": 0, "data": "6.453", "prec": 17}, {"__RealLiteral__": 0, "data": "2.024", "prec": 17}, {"__RealLiteral__": 0, "data": "133.101", "prec": 24}, {"__RealLiteral__": 0, "data": "97.575", "prec": 20}, {"__RealLiteral__": 0, "data": "4823.249", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 7, "sato_tate_group": 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