# Stored data for newform 147.6.a.h, downloaded from the LMFDB on 23 April 2024.
{"label": "147.6.a.h", "space_label": "147.6.a", "level": 147, "weight": 6, "hecke_orbit": 8, "hecke_orbit_code": 31525197492256915, "dim": 2, "is_polredabs": true, "nf_label": "2.2.193.1", "trace_hash": 2068217284944433848, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-46, 3, 1]], [5, [-36, 1]]], "qexp_display": "q+(-1-\\beta )q^{2}-9q^{3}+(17+3\\beta )q^{4}+\\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": 23.57642151250815, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [147, 1, [50, 52], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7], "conrey_indexes": [1], "field_disc": 193, "field_disc_factorization": [[193, 1]], "field_poly": [-48, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.013", "prec": 17}, {"__RealLiteral__": 0, "data": "1.926", "prec": 17}, {"__RealLiteral__": 0, "data": "0.157", "prec": 17}, {"__RealLiteral__": 0, "data": "9.224", "prec": 17}, {"__RealLiteral__": 0, "data": "0.598", "prec": 17}, {"__RealLiteral__": 0, "data": "62.175", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [7, -1]], "trace_display": [-3, -18, 72, 0], "traces": [0, 2, -3, -18, 37, 72, 27, 0, -249, 162, -108, 480, -333, 1296, 0, -648, -1679, 936, -243, -216, 1332, 0, -1492, -504, 2241, -3658, -8892, -1458, 0, 6372, 972, 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