# Stored data for newform 7942.2.a.bc, downloaded from the LMFDB on 20 April 2024.
{"label": "7942.2.a.bc", "space_label": "7942.2.a", "level": 7942, "weight": 2, "hecke_orbit": 29, "hecke_orbit_code": 126100789599936262, "dim": 3, "is_polredabs": true, "nf_label": "3.3.469.1", "trace_hash": 376298761454514145, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-4, -5, 1, 1]], [5, [2, 3, -5, 1]], [13, [-14, 1, 5, 1]]], "qexp_display": "q-q^{2}-\\beta _{1}q^{3}+q^{4}+(2-\\beta _{1})q^{5}+\\beta _{1}q^{6}+\\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": "0.011", "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": 469, "field_disc_factorization": [[7, 1], [67, 1]], "field_poly": [4, -5, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.040", "prec": 17}, {"__RealLiteral__": 0, "data": "2.895", "prec": 17}, {"__RealLiteral__": 0, "data": "0.590", "prec": 17}, {"__RealLiteral__": 0, "data": "22.309", "prec": 20}, {"__RealLiteral__": 0, "data": "8.066", "prec": 17}, {"__RealLiteral__": 0, "data": "250.521", "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, -1, 5, 1], "traces": [0, 3, -3, -1, 3, 5, 1, 1, -3, 2, -5, -3, -1, -5, -1, 9, 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