# Stored data for newform 1323.2.a.ba, downloaded from the LMFDB on 20 April 2024.
{"label": "1323.2.a.ba", "space_label": "1323.2.a", "level": 1323, "weight": 2, "hecke_orbit": 27, "hecke_orbit_code": 117093590345188651, "dim": 3, "is_polredabs": true, "nf_label": "3.3.321.1", "trace_hash": 1968416285543675911, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [3, -3, -2, 1]], [5, [-3, -6, -1, 1]], [13, [47, -19, -2, 1]]], "qexp_display": "q+(1-\\beta _{1})q^{2}+(2-\\beta _{1}+\\beta _{2})q^{4}-\\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": 5292, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 10.564208187415394, "hecke_ring_index": 1, "level_radical": 21, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [1323, 1, [785, 1081], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7], "conrey_indexes": [1], "field_disc": 321, "field_disc_factorization": [[3, 1], [107, 1]], "field_poly": [1, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.027", "prec": 17}, {"__RealLiteral__": 0, "data": "2.818", "prec": 17}, {"__RealLiteral__": 0, "data": "0.202", "prec": 17}, {"__RealLiteral__": 0, "data": "20.244", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "224.280", "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], [7, 1]], "trace_display": [2, 0, 1, 0], "traces": [0, 3, 2, 0, 4, 1, 0, 0, 9, 0, -1, 7, 0, 2, 0, 0, 10, 0, 0, 5, -13, 0, -4, 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