# Stored data for newform 195.2.i.a, downloaded from the LMFDB on 18 April 2024.
{"label": "195.2.i.a", "space_label": "195.2.i", "level": 195, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 549789368515, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1944600407485340791, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [4, 2, 1]]], "qexp_display": "q+(-2+2\\zeta_{6})q^{2}+(-1+\\zeta_{6})q^{3}-2\\zeta_{6}q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 13, "char_orbit_label": "i", "char_is_real": false, "Nk2": 780, "analytic_conductor": 1.5570828394149674, "hecke_ring_index": 1, "level_radical": 195, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [195, 3, [131, 157, 106], [3, 3, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [3, 5, 13], "conrey_indexes": [16, 61], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.954", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "12.096", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "115.960", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [-2, -1, -2, -5], "traces": [0, 2, -2, -1, -2, -2, -2, -5, 0, -1, 2, -2, 4, -5, 20, 1, 4, -2, 4, 0, 2, 10, -4, -6, 0, 2, -4, 2, -10, 4, 2, -14, 8, -2, 8, 5, -2, 2, 0, -2, 0, -6, -10, -1, 8, 1, -12, -16, 4, -18, -2, 4, 14, -8, -2, 2, 0, 0, 8, -12, -4, 13, 14, -5, -16, 5, 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"char_orbit_index": 9, "prim_orbit_index": 3, "minimal_twist": "195.2.i.a", "char_is_minimal": true, "conrey_index": 16, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [-2, 2], [-1, 1], [0, -2], [-1, 0], [0, -2], [0, -5], [0, 0], [0, -1], [2, -2], [-2, 2], [2, 0], [-4, 3], [10, 0], [1, -1], [4, -4], [0, -2], [2, 0], [0, 0], [0, 2], [5, 0], [0, -4], [-6, 6], [0, 0], [1, 0], [2, -8], [1, 0], [-10, 10], [4, -4], [0, 2], [-7, 0], [0, 8], [0, -2], [4, 0], [0, 5], [-2, 2], [2, -2], [0, 0], [1, -4], [0, 0], [-6, 6], [-10, 10], [0, -1], [4, 0], [0, 1], [0, -12], [-8, 0], [0, 4], [-18, 18], [-2, 2], [2, 0], [6, 2], [-4, 0], [-2, 2], [2, -2], [0, 0], [0, 0], [0, 8], [0, -12], [-2, 0], 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