# Stored data for newform 7942.2.a.bs, downloaded from the LMFDB on 25 April 2024. {"label": "7942.2.a.bs", "space_label": "7942.2.a", "level": 7942, "weight": 2, "hecke_orbit": 45, "hecke_orbit_code": 198158383637864198, "dim": 12, "is_polredabs": true, "trace_hash": 1388883284128484053, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [81, 648, -621, -1596, 972, 1236, -581, -408, 162, 59, -21, -3, 1]], [5, [-57, -1080, -4995, -9042, -5604, 1968, 3449, 663, -465, -183, 3, 9, 1]], [13, [-46567, 174321, 17967, -190063, 45258, 49008, -17028, -4080, 1857, 100, -75, 0, 1]]], "qexp_display": "q-q^{2}+\\beta _{1}q^{3}+q^{4}+(-1+\\beta _{9})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": "0.011", "prec": 17}, "analytic_rank_proved": true, "char_values": [7942, 1, [5777, 6139], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 11, 19], "conrey_indexes": [1], "field_disc": 12163487511370051053, "field_disc_factorization": [[3, 17], [19, 1], [89, 1], [55699741, 1]], "field_poly": [81, 648, -621, -1596, 972, 1236, -581, -408, 162, 59, -21, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.701", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "301.832", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, 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