# Stored data for newform 6042.2.a.w, downloaded from the LMFDB on 20 April 2024.
{"label": "6042.2.a.w", "space_label": "6042.2.a", "level": 6042, "weight": 2, "hecke_orbit": 23, "hecke_orbit_code": 99079191835711386, "dim": 6, "is_polredabs": true, "nf_label": "6.6.326108912.1", "trace_hash": 2100019209218914903, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-152, 80, 98, -24, -20, 1, 1]], [7, [-64, -64, 72, 44, -26, -1, 1]], [11, [-1664, -400, 456, 66, -40, -2, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}+\\beta _{3}q^{5}-q^{6}+(-\\beta _{1}+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24168, "fricke_eigenval": -1, "atkin_lehner_string": "-+++", "analytic_conductor": 48.24561290125761, "hecke_ring_index": 2, "level_radical": 6042, "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": [6042, 1, [2015, 4771, 2281], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 19, 53], "conrey_indexes": [1], "field_disc": 326108912, "field_disc_factorization": [[2, 4], [20381807, 1]], "field_poly": [4, -32, 12, 25, -11, -3, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.076", "prec": 17}, {"__RealLiteral__": 0, "data": "5.426", "prec": 17}, {"__RealLiteral__": 0, "data": "1.415", "prec": 17}, {"__RealLiteral__": 0, "data": "84.931", "prec": 20}, {"__RealLiteral__": 0, "data": "32.172", "prec": 20}, {"__RealLiteral__": 0, "data": "2086.849", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [19, 1], [53, 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