# Stored data for newform 23.12.a.b, downloaded from the LMFDB on 07 May 2024.
{"label": "23.12.a.b", "space_label": "23.12.a", "level": 23, "weight": 12, "hecke_orbit": 2, "hecke_orbit_code": 4503599828697111, "dim": 11, "is_polredabs": true, "trace_hash": 2294032308208131151, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [60024577238663168, 5191695182200832, -3199980978790400, 148783481621696, 4226023192464, -205410732416, -2171413128, 91689644, 453021, -16384, -32, 1]]], "qexp_display": "q+(3-\\beta _{1})q^{2}+(-2+\\beta _{1}-\\beta _{2})q^{3}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 3312, "fricke_eigenval": 1, "atkin_lehner_string": "+", "analytic_conductor": 17.671893152870545, "hecke_ring_index": 18432, "level_radical": 23, "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": 0, "analytic_rank_proved": true, "char_values": [23, 1, [5], [1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [23], "conrey_indexes": [1], "field_disc": 3128759924109953944594860357657078251027196877373322872723631201904349363060, "field_disc_factorization": [[2, 2], [5, 1], [311, 1], [1401217, 1], [81302304449927339, 1], [4415436082024369686955712440839889728567094221421, 1]], "field_poly": [-51108001263703556, -9620508603737857, 1690347715497299, 180101325169073, -940430954112, -226650696110, 169360278, 97176782, -2148, -16849, -1, 1], "hecke_ring_index_factorization": [[2, 11], [3, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.159", "prec": 17}, {"__RealLiteral__": 0, "data": "9.311", "prec": 17}, {"__RealLiteral__": 0, "data": "2.725", "prec": 17}, {"__RealLiteral__": 0, "data": "245.421", "prec": 24}, {"__RealLiteral__": 0, "data": "112.905", "prec": 24}, {"__RealLiteral__": 0, "data": "9729.284", 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