# Stored data for newform 1089.6.a.d, downloaded from the LMFDB on 19 April 2024.
{"label": "1089.6.a.d", "space_label": "1089.6.a", "level": 1089, "weight": 6, "hecke_orbit": 4, "hecke_orbit_code": 13510798982775873, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 492772383956752156, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [2, 1]], [5, [46, 1]], [7, [148, 1]]], "qexp_display": "q-2q^{2}-28q^{4}-46q^{5}-148q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 39204, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 174.6579797763359, "hecke_ring_index": 1, "level_radical": 33, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [1089, 1, [848, 244], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.973", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.899", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.626", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [11, -1]], "trace_display": [-2, 0, -46, -148], "traces": [0, 1, -2, 0, -28, -46, 0, -148, 120, 0, 92, 0, 0, -574, 296, 0, 656, -722, 0, -2160, 1288, 0, 0, 2536, 0, -1009, 1148, 0, 4144, 4650, 0, 5032, -5152, 0, 1444, 6808, 0, 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