# Stored data for newform 3549.2.a.w, downloaded from the LMFDB on 28 March 2024. {"label": "3549.2.a.w", "space_label": "3549.2.a", "level": 3549, "weight": 2, "hecke_orbit": 23, "hecke_orbit_code": 99079191835708893, "dim": 4, "is_polredabs": true, "nf_label": "4.4.17428.1", "trace_hash": 2171397777014988239, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [6, -5, -7, 1, 1]], [5, [24, 20, -10, -3, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+q^{3}+(2+\\beta _{2})q^{4}+(1+\\beta _{2}+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 14196, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 28.33890767735241, "hecke_ring_index": 2, "level_radical": 273, "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": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [3549, 1, [1184, 1522, 3382], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7, 13], "conrey_indexes": [1], "field_disc": 17428, "field_disc_factorization": [[2, 2], [4357, 1]], "field_poly": [6, 4, -6, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.044", "prec": 17}, {"__RealLiteral__": 0, "data": "3.760", "prec": 17}, {"__RealLiteral__": 0, "data": "1.205", "prec": 17}, {"__RealLiteral__": 0, "data": "38.934", "prec": 20}, {"__RealLiteral__": 0, "data": "23.265", "prec": 20}, {"__RealLiteral__": 0, "data": "611.124", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, 1], [13, 1]], 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