# Stored data for newform 147.6.a.i, downloaded from the LMFDB on 20 April 2024.
{"label": "147.6.a.i", "space_label": "147.6.a", "level": 147, "weight": 6, "hecke_orbit": 9, "hecke_orbit_code": 36028797119627411, "dim": 2, "is_polredabs": true, "nf_label": "2.2.249.1", "trace_hash": 587726348141036059, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-60, 3, 1]], [5, [-2778, 33, 1]]], "qexp_display": "q+(-1-\\beta )q^{2}-9q^{3}+(31+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": 249, "field_disc_factorization": [[3, 1], [83, 1]], "field_poly": [-62, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.932", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.710", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "68.017", "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, -33, 0], "traces": [0, 2, -3, -18, 65, -33, 27, 0, -375, 162, 921, -1137, -585, 925, 0, 297, -895, -324, -243, 2311, -3687, 0, 1581, 1596, 3375, 395, 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