# Stored data for newform 242.8.a.h, downloaded from the LMFDB on 05 May 2024.
{"label": "242.8.a.h", "space_label": "242.8.a", "level": 242, "weight": 8, "hecke_orbit": 8, "hecke_orbit_code": 31525197525811442, "dim": 2, "is_polredabs": true, "nf_label": "2.2.14881.1", "trace_hash": 255632327114900889, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-3588, 23, 1]], [7, [75440, 1794, 1]]], "qexp_display": "q-8q^{2}+(-11-\\beta )q^{3}+2^{6}q^{4}+(165+\\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": 15488, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 75.59717616715747, "hecke_ring_index": 1, "level_radical": 22, "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": [242, 1, [123], [1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 11], "conrey_indexes": [1], "field_disc": 14881, "field_disc_factorization": [[23, 1], [647, 1]], "field_poly": [-3720, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.965", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.487", "prec": 20}, {"__RealLiteral__": 0, "data": "0.532", "prec": 17}, {"__RealLiteral__": 0, "data": "79.440", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "7.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [11, -1]], "trace_display": [-16, -23, 331, -1794], "traces": [0, 2, -16, -23, 128, 331, 184, -1794, -1024, 3331, -2648, 0, -1472, 5406, 14352, -11247, 8192, -15032, -26648, -16916, 21184, 124798, 0, -51351, 11776, -94029, -43248, 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