# Stored data for newform 195.2.a.b, downloaded from the LMFDB on 03 December 2023.
{"label": "195.2.a.b", "space_label": "195.2.a", "level": 195, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660925123, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 186543204042878688, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-2, 1]], [7, [-3, 1]]], "qexp_display": "q+2q^{2}-q^{3}+2q^{4}+q^{5}-2q^{6}+3q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 780, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 1.5570828394149674, "hecke_ring_index": 1, "level_radical": 195, "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": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [195, 1, [131, 157, 106], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 13], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.006", "prec": 17}, {"__RealLiteral__": 0, "data": "0.983", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.940", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.840", "prec": 17}], "related_objects": ["EllipticCurve/Q/195/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, -1], [13, 1]], "trace_display": [2, -1, 1, 3], "traces": [0, 1, 2, -1, 2, 1, -2, 3, 0, 1, 2, -1, -2, -1, 6, -1, -4, -1, 2, -2, 2, -3, -2, -3, 0, 1, -2, -1, 6, -2, -2, -6, -8, 1, -2, 3, 2, 11, -4, 1, 0, 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"prim_orbit_index": 1, "minimal_twist": "195.2.a.b", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [2], [-1], [2], [1], [-2], [3], [0], [1], [2], [-1], [-2], [-1], [6], [-1], [-4], [-1], [2], [-2], [2], [-3], [-2], [-3], [0], [1], [-2], [-1], [6], [-2], [-2], [-6], [-8], [1], [-2], [3], [2], [11], [-4], [1], [0], [-5], [-6], [4], [-2], [1], [-6], [-10], [4], [2], [2], [1], [-2], [11], [-2], [-1], [0], [2], [-4], [8], [-2], [13], [-12], [3], [-8], [-1], [2], [12], [-2], [3], [6], [-5], [0], [10], [22], [-1], [-4], [-3], [2], [-3], [-4], [1], [-10], [-12], [-6], [-1], [8], [2], [0], [-15], [2], [-3], [-6], [6], [-20], [-2], [8], [17], [4], [-1], [2]]}