# Stored data for newform 7938.2.a.bp, downloaded from the LMFDB on 23 April 2024.
{"label": "7938.2.a.bp", "space_label": "7938.2.a", "level": 7938, "weight": 2, "hecke_orbit": 42, "hecke_orbit_code": 184647584755752706, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 1572048956885664772, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [0, 1]], [11, [-18, 0, 1]], [13, [-14, 4, 1]], [17, [0, 1]], [23, [-9, -6, 1]]], "qexp_display": "q+q^{2}+q^{4}+q^{8}+\\beta q^{11}+(-2-\\beta )q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 31752, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 63.38524912449237, "hecke_ring_index": 3, "level_radical": 42, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 8, "field_poly_is_real_cyclotomic": true, "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": "0.024", "prec": 17}, "analytic_rank_proved": true, "char_values": [7938, 1, [6077, 3727], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 7], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [[3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.846", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.678", "prec": 17}, {"__RealLiteral__": 0, "data": "0.149", "prec": 17}, {"__RealLiteral__": 0, "data": "57.544", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [7, -1]], "trace_display": [2, 0, 0, 0], "traces": [0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, -4, 0, 0, 2, 0, 0, -4, 0, 0, 0, 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