# Stored data for newform 3525.2.a.be, downloaded from the LMFDB on 23 April 2024.
{"label": "3525.2.a.be", "space_label": "3525.2.a", "level": 3525, "weight": 2, "hecke_orbit": 31, "hecke_orbit_code": 135107988854672837, "dim": 8, "is_polredabs": true, "trace_hash": 2222931663430260428, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [2, 13, 8, -47, 8, 24, -7, -3, 1]], [7, [-171, 723, 613, -550, -170, 144, -4, -8, 1]], [11, [-4420, -2423, 3505, 2140, -341, -334, -27, 8, 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": 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": "0.006", "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": 207371660233, "field_disc_factorization": [[19, 1], [431, 1], [25323197, 1]], "field_poly": [2, 13, 8, -47, 8, 24, -7, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.013", "prec": 17}, {"__RealLiteral__": 0, "data": "7.339", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "155.818", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5252.406", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [47, -1]], 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