# Stored data for newform 3525.2.a.w, downloaded from the LMFDB on 24 April 2024.
{"label": "3525.2.a.w", "space_label": "3525.2.a", "level": 3525, "weight": 2, "hecke_orbit": 23, "hecke_orbit_code": 99079191835708869, "dim": 6, "is_polredabs": true, "nf_label": "6.6.414764096.1", "trace_hash": 891386359723407973, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-11, 42, 29, -20, -11, 2, 1]], [7, [-128, 440, 133, -84, -22, 4, 1]], [11, [-64, -128, 68, 48, -16, -4, 1]]], "qexp_display": "q-\\beta _{1}q^{2}-q^{3}+(2+\\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": 2, "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": "0.015", "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": 414764096, "field_disc_factorization": [[2, 6], [17, 1], [47, 1], [8111, 1]], "field_poly": [-11, -42, 29, 20, -11, -2, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.133", "prec": 17}, {"__RealLiteral__": 0, "data": "5.345", "prec": 17}, {"__RealLiteral__": 0, "data": "1.538", "prec": 17}, {"__RealLiteral__": 0, "data": "79.340", "prec": 20}, {"__RealLiteral__": 0, "data": "57.417", "prec": 20}, {"__RealLiteral__": 0, "data": "2075.761", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [47, -1]], 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