# Stored data for newform 531.6.a.b, downloaded from the LMFDB on 19 April 2024.
{"label": "531.6.a.b", "space_label": "531.6.a", "level": 531, "weight": 6, "hecke_orbit": 2, "hecke_orbit_code": 4503599728034323, "dim": 11, "is_polredabs": true, "trace_hash": 2098389764337355359, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [97836992, -75608576, -22980000, 14355856, 2119008, -822892, -75693, 20480, 1135, -233, -6, 1]]], "qexp_display": "q+(1-\\beta _{1})q^{2}+(14-\\beta _{1}+\\beta _{2})q^{4}+(17+\\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": 19116, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 85.16380832069271, "hecke_ring_index": 4, "level_radical": 177, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [531, 1, [119, 415], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [3, 59], "conrey_indexes": [1], "field_disc": 59061038659441797927514124532701957240684, "field_disc_factorization": [[2, 2], [37, 1], [8296373, 1], [48100666643514628790451256598371, 1]], "field_poly": [-14846072, -74443300, -23890558, 13849341, 2364885, -813818, -79077, 20782, 1067, -238, -5, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.149", "prec": 17}, {"__RealLiteral__": 0, "data": "9.275", "prec": 17}, {"__RealLiteral__": 0, "data": "5.521", "prec": 17}, {"__RealLiteral__": 0, "data": "267.097", "prec": 24}, {"__RealLiteral__": 0, "data": "398.007", "prec": 24}, {"__RealLiteral__": 0, "data": "12855.554", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 11, 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