# Stored data for newform 6042.2.a.z, downloaded from the LMFDB on 25 April 2024.
{"label": "6042.2.a.z", "space_label": "6042.2.a", "level": 6042, "weight": 2, "hecke_orbit": 26, "hecke_orbit_code": 112589990717822874, "dim": 9, "is_polredabs": true, "trace_hash": 2109113036951622333, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [8, 40, -66, -250, 157, 186, -22, -27, 1, 1]], [7, [256, 384, -592, -1184, -274, 265, 71, -25, -4, 1]], [11, [-64, -272, 384, 1402, -232, -447, 107, 31, -12, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+\\beta _{6}q^{5}+q^{6}-\\beta _{3}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": "0.002", "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": 565736490986896, "field_disc_factorization": [[2, 4], [19, 1], [60317, 1], [30853247, 1]], "field_poly": [-14, -8, 119, 29, -180, 25, 51, -11, -4, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.194", "prec": 17}, {"__RealLiteral__": 0, "data": "7.489", "prec": 17}, {"__RealLiteral__": 0, "data": "3.745", "prec": 17}, {"__RealLiteral__": 0, "data": "175.410", "prec": 24}, {"__RealLiteral__": 0, "data": "169.396", "prec": 24}, {"__RealLiteral__": 0, "data": "8665.074", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 9, "sato_tate_group": "1.2.3.c1", 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