# Stored data for newform 8281.2.a.cp, downloaded from the LMFDB on 24 April 2024.
{"label": "8281.2.a.cp", "space_label": "8281.2.a", "level": 8281, "weight": 2, "hecke_orbit": 68, "hecke_orbit_code": 301741175067385945, "dim": 12, "is_polredabs": true, "trace_hash": 926270930546353414, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 0, -36, 0, 172, 0, -197, 0, 88, 0, -16, 0, 1]], [3, [7, -19, 4, 16, -5, -3, 1]], [5, [121, 0, -539, 0, 878, 0, -636, 0, 201, 0, -25, 0, 1]], [11, [85849, 0, -122593, 0, 61227, 0, -13284, 0, 1355, 0, -62, 0, 1]], [17, [19, 146, 56, -198, 96, -17, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-\\beta _{3}q^{3}+(1-\\beta _{8}+\\beta _{9})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 33124, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 66.12411791382229, "hecke_ring_index": 1, "level_radical": 91, "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": "0.511", "prec": 17}, "analytic_rank_proved": true, "char_values": [8281, 1, [1522, 3382], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [7, 13], "conrey_indexes": [1], "field_disc": 9612330547679760384, "field_disc_factorization": [[2, 12], [3, 6], [11, 2], [163109, 2]], "field_poly": [1, 0, -36, 0, 172, 0, -197, 0, 88, 0, -16, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.181", "prec": 17}, {"__RealLiteral__": 0, "data": "10.748", "prec": 20}, {"__RealLiteral__": 0, "data": "10.295", "prec": 20}, {"__RealLiteral__": 0, "data": "678.275", "prec": 24}, {"__RealLiteral__": 0, "data": "1064.675", "prec": 27}, {"__RealLiteral__": 0, "data": "72184.195", "prec": 30}], "related_objects": [], "self_twist_discs": [], 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