# Stored data for newform 7942.2.a.bi, downloaded from the LMFDB on 24 April 2024. {"label": "7942.2.a.bi", "space_label": "7942.2.a", "level": 7942, "weight": 2, "hecke_orbit": 35, "hecke_orbit_code": 153122387364159238, "dim": 3, "is_polredabs": true, "nf_label": "3.3.621.1", "trace_hash": 749496828580658558, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [3, -6, 0, 1]], [5, [-18, -9, 3, 1]], [13, [29, -18, 0, 1]]], "qexp_display": "q+q^{2}-\\beta _{1}q^{3}+q^{4}+(-1-\\beta _{1}-\\beta _{2})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 31768, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 63.41718928530088, "hecke_ring_index": 1, "level_radical": 418, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [7942, 1, [5777, 6139], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 11, 19], "conrey_indexes": [1], "field_disc": 621, "field_disc_factorization": [[3, 3], [23, 1]], "field_poly": [-3, -6, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.021", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "24.139", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "284.191", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [11, 1], [19, -1]], "trace_display": [3, 0, -3, 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