# Stored data for newform 7942.2.a.bo, downloaded from the LMFDB on 19 April 2024.
{"label": "7942.2.a.bo", "space_label": "7942.2.a", "level": 7942, "weight": 2, "hecke_orbit": 41, "hecke_orbit_code": 180143985128382214, "dim": 8, "is_polredabs": true, "trace_hash": 2046545644604416495, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [16, -112, 243, -167, -36, 62, -7, -5, 1]], [5, [-19, 74, -27, -106, 74, 23, -20, -1, 1]], [13, [2911, 23004, -7689, -4374, 1342, 241, -72, -3, 1]]], "qexp_display": "q-q^{2}+(1-\\beta _{1})q^{3}+q^{4}+(-\\beta _{1}-\\beta _{3}+\\cdots)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": 1745259475625, "field_disc_factorization": [[5, 4], [19, 1], [71, 1], [2069989, 1]], "field_poly": [-5, 30, -36, -50, 64, 29, -14, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.222", "prec": 17}, {"__RealLiteral__": 0, "data": "7.214", "prec": 17}, {"__RealLiteral__": 0, "data": "3.191", "prec": 17}, {"__RealLiteral__": 0, "data": "151.855", "prec": 24}, {"__RealLiteral__": 0, "data": "98.852", "prec": 20}, {"__RealLiteral__": 0, "data": "4940.145", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [11, 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