# Stored data for newform 7942.2.a.bm, downloaded from the LMFDB on 28 March 2024. {"label": "7942.2.a.bm", "space_label": "7942.2.a", "level": 7942, "weight": 2, "hecke_orbit": 39, "hecke_orbit_code": 171136785873641222, "dim": 8, "is_polredabs": true, "trace_hash": 2002898817802874514, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-19, -58, 2, 87, 13, -34, -7, 4, 1]], [5, [9, 126, -167, -154, 134, 25, -22, -1, 1]], [13, [10604, 31494, 19105, 1281, -1903, -486, 3, 12, 1]]], "qexp_display": "q-q^{2}+(-1+\\beta _{1}-\\beta _{7})q^{3}+q^{4}+(\\beta _{2}+\\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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [7942, 1, [5777, 6139], [1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 1, "level_primes": [2, 11, 19], "conrey_indexes": [1], "field_disc": 220792150625, "field_disc_factorization": [[5, 4], [353267441, 1]], "field_poly": [4, 2, -29, 3, 38, -4, -14, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.494", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "168.613", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6483.982", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, 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