# Stored data for newform 182.2.a.d, downloaded from the LMFDB on 18 April 2024.
{"label": "182.2.a.d", "space_label": "182.2.a", "level": 182, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915666102, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 576127386404918798, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-1, 1]], [5, [0, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 728, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 1.453277316787303, "hecke_ring_index": 1, "level_radical": 182, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [182, 1, [157, 15], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 7, 13], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.002", "prec": 17}, {"__RealLiteral__": 0, "data": "1.014", "prec": 17}, {"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "2.086", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.339", "prec": 17}], "related_objects": ["EllipticCurve/Q/182/d"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [7, -1], [13, -1]], "trace_display": [1, 1, 0, 1], "traces": [0, 1, 1, 1, 1, 0, 1, 1, 1, -2, 0, -3, 1, 1, 1, 0, 1, 0, -2, 2, 0, 1, -3, -3, 1, -5, 1, -5, 1, 0, 0, 5, 1, -3, 0, 0, -2, -7, 2, 1, 0, 3, 1, 8, -3, 0, 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"projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [1], [1], [1], [0], [1], [1], [1], [-2], [0], [-3], [1], [1], [1], [0], [1], [0], [-2], [2], [0], [1], [-3], [-3], [1], [-5], [1], [-5], [1], [0], [0], [5], [1], [-3], [0], [0], [-2], [-7], [2], [1], [0], [3], [1], [8], [-3], [0], [-3], [-3], [1], [1], [-5], [0], [1], [-12], [-5], [0], [1], [2], [0], [6], [0], [-1], [5], [-2], [1], [0], [-3], [5], [0], [-3], [0], [12], [-2], [11], [-7], [-5], [2], [-3], [1], [-1], [0], [1], [3], [12], [1], [0], [8], [0], [-3], [-18], [0], [1], [-3], [5], [-3], [0], [1], [17], [1], [6], [-5]]}