# Stored data for newform 531.6.a.d, downloaded from the LMFDB on 23 April 2024.
{"label": "531.6.a.d", "space_label": "531.6.a", "level": 531, "weight": 6, "hecke_orbit": 4, "hecke_orbit_code": 13510798982775315, "dim": 12, "is_polredabs": true, "trace_hash": 2260629429486775874, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-50564480, 120303168, -16576192, -53008480, 15496192, 3566264, -1130486, -94393, 27968, 1045, -283, -4, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(17+\\beta _{2})q^{4}+(-3-\\beta _{1}+\\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": 8, "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": 223749114804675008921644391730380731685123623982800, "field_disc_factorization": [[2, 4], [5, 2], [29, 1], [37, 1], [206420771, 1], [2525504907133446173837342050144276279, 1]], "field_poly": [-50564480, 120303168, -16576192, -53008480, 15496192, 3566264, -1130486, -94393, 27968, 1045, -283, -4, 1], "hecke_ring_index_factorization": [[2, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.299", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "306.647", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "14582.100", "prec": 30}], "related_objects": [], "self_twist_discs": [], 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