# Stored data for newform 1573.2.a.d, downloaded from the LMFDB on 10 May 2024.
{"label": "1573.2.a.d", "space_label": "1573.2.a", "level": 1573, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915667493, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1107059902023153537, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-5, 0, 1]], [7, [-11, -1, 1]]], "qexp_display": "q+(1-2\\beta )q^{2}+(-2+2\\beta )q^{3}+3q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6292, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 12.560468237947404, "hecke_ring_index": 1, "level_radical": 143, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "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": "0.015", "prec": 17}, "analytic_rank_proved": true, "char_values": [1573, 1, [365, 1211], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [11, 13], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.073", "prec": 17}, {"__RealLiteral__": 0, "data": "0.080", "prec": 17}, {"__RealLiteral__": 0, "data": "10.922", "prec": 20}, {"__RealLiteral__": 0, "data": "0.921", "prec": 17}, {"__RealLiteral__": 0, "data": "80.424", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[11, 1], [13, 1]], "trace_display": [0, -2, -2, 1], "traces": [0, 2, 0, -2, 6, -2, -10, 1, 0, 6, 10, 0, -6, -2, -15, -8, -2, 7, 20, -1, -6, 14, 0, -16, -10, 2, 0, -20, 3, -9, 0, 9, 0, 0, -5, -16, 18, 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