# Stored data for newform 6042.2.a.ba, downloaded from the LMFDB on 18 April 2024.
{"label": "6042.2.a.ba", "space_label": "6042.2.a", "level": 6042, "weight": 2, "hecke_orbit": 27, "hecke_orbit_code": 117093590345193370, "dim": 9, "is_polredabs": true, "trace_hash": 2300932408498564159, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-600, 1196, 898, -999, -401, 272, 57, -30, -2, 1]], [7, [-960, -6088, 149, 4510, -1110, -654, 256, 2, -10, 1]], [11, [8192, 22016, 8384, -6120, -2772, 620, 245, -36, -7, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}+\\beta _{6}q^{5}-q^{6}+(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": 4, "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": "0.003", "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": 642149812828621, "field_disc_factorization": [[642149812828621, 1]], "field_poly": [199, -595, 459, 182, -360, 76, 62, -25, -1, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.117", "prec": 17}, {"__RealLiteral__": 0, "data": "7.964", "prec": 17}, {"__RealLiteral__": 0, "data": "4.578", "prec": 17}, {"__RealLiteral__": 0, "data": "198.037", "prec": 24}, {"__RealLiteral__": 0, "data": "314.453", "prec": 24}, {"__RealLiteral__": 0, "data": "8566.849", "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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