# Stored data for newform 1521.4.a.bl, downloaded from the LMFDB on 28 March 2024. {"label": "1521.4.a.bl", "space_label": "1521.4.a", "level": 1521, "weight": 4, "hecke_orbit": 38, "hecke_orbit_code": 166633186279818737, "dim": 12, "is_polredabs": true, "trace_hash": 131670667713384390, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-234, 0, 201, 0, -32, 0, 1]], [5, [-632736, 0, 31629, 0, -398, 0, 1]], [7, [-442368, 0, 47844, 0, -495, 0, 1]]], "qexp_display": "q+\\beta _{6}q^{2}+(3+\\beta _{2})q^{4}+(-\\beta _{6}+\\beta _{8}+\\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": 24336, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 89.74190511873148, "hecke_ring_index": 124416, "level_radical": 39, "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": "0.763", "prec": 17}, "analytic_rank_proved": true, "char_values": [1521, 1, [677, 847], [1, 1]], "hecke_ring_generator_nbound": 19, "inner_twist_count": 4, "level_primes": [3, 13], "conrey_indexes": [1], "field_disc": 49911543144842421595078656, "field_disc_factorization": [[2, 16], [3, 6], [13, 2], [8867, 4]], "field_poly": [11664, 0, -67392, 0, 89784, 0, -22488, 0, 2137, 0, -82, 0, 1], "hecke_ring_index_factorization": [[2, 9], [3, 5]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.366", "prec": 17}, {"__RealLiteral__": 0, "data": "0.276", "prec": 17}, {"__RealLiteral__": 0, "data": "942.660", "prec": 24}, {"__RealLiteral__": 0, "data": "1164.780", "prec": 27}, {"__RealLiteral__": 0, "data": "136518.027", "prec": 34}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], 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