# Stored data for newform 3249.2.a.t, downloaded from the LMFDB on 25 April 2024.
{"label": "3249.2.a.t", "space_label": "3249.2.a", "level": 3249, "weight": 2, "hecke_orbit": 20, "hecke_orbit_code": 85568392953597105, "dim": 3, "is_polredabs": true, "nf_label": "3.3.564.1", "trace_hash": 825204866597286653, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-3, -5, 1, 1]], [5, [-12, -8, 2, 1]], [13, [-3, -21, -1, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}+(-1-\\beta _{2})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12996, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 25.943395616713996, "hecke_ring_index": 1, "level_radical": 57, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [3249, 1, [362, 2890], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 19], "conrey_indexes": [1], "field_disc": 564, "field_disc_factorization": [[2, 2], [3, 1], [47, 1]], "field_poly": [3, -5, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.884", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "21.574", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "235.499", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [19, -1]], "trace_display": [-1, 0, -2, -1], "traces": [0, 3, -1, 0, 5, -2, 0, -1, -3, 0, 4, 0, 0, 1, -3, 0, 5, 0, 0, 0, -22, 0, -18, -14, 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