# Stored data for newform 3525.2.a.bi, downloaded from the LMFDB on 24 April 2024.
{"label": "3525.2.a.bi", "space_label": "3525.2.a", "level": 3525, "weight": 2, "hecke_orbit": 35, "hecke_orbit_code": 153122387364154821, "dim": 13, "is_polredabs": true, "trace_hash": 1750357900986647441, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-2, 12, 293, -107, -923, 309, 852, -288, -316, 106, 51, -17, -3, 1]], [7, [-24064, 56192, 1792, -72464, 22104, 33677, -12580, -7272, 2388, 842, -172, -48, 4, 1]], [11, [-2451456, -6953472, -505856, 4668608, -98752, -1014460, 104072, 94552, -15976, -3548, 892, 17, -16, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+q^{3}+(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": 8, "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": 29, "inner_twist_count": 1, "level_primes": [3, 5, 47], "conrey_indexes": [1], "field_disc": 554216731101493391605760, "field_disc_factorization": [[2, 14], [5, 1], [6765340955828776753, 1]], "field_poly": [-2, 12, 293, -107, -923, 309, 852, -288, -316, 106, 51, -17, -3, 1], "hecke_ring_index_factorization": [[2, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.150", "prec": 17}, {"__RealLiteral__": 0, "data": "10.712", "prec": 20}, {"__RealLiteral__": 0, "data": "0.083", "prec": 17}, {"__RealLiteral__": 0, "data": "360.639", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": 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