# Stored data for newform 13.2.e.a, downloaded from the LMFDB on 24 April 2024.
{"label": "13.2.e.a", "space_label": "13.2.e", "level": 13, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 274911461389, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1456780685049277288, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "qexp_display": "q+(-1-\\zeta_{6})q^{2}+(-2+2\\zeta_{6})q^{3}+\\zeta_{6}q^{4}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 13, "char_orbit_label": "e", "char_is_real": false, "Nk2": 52, "analytic_conductor": 0.1038055226276645, "hecke_ring_index": 1, "level_radical": 13, "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": "0.180", "prec": 17}, "analytic_rank_proved": true, "char_values": [13, 6, [2], [1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [13], "conrey_indexes": [4, 10], "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": "1.947", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.375", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "90.845", "prec": 20}], "related_objects": ["Genus2Curve/Q/169/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c6", "trace_display": [-3, -2, 0, 0], "traces": [0, 2, -3, -2, 1, 0, 6, 0, 0, -1, -3, 0, -4, -5, 0, 6, 5, 3, 0, -6, 3, 0, 0, 6, -6, 4, 3, -8, 0, -3, -6, 0, -9, 0, 0, 0, 1, 15, 12, 14, 6, -9, 0, -8, 0, -3, -18, 0, 10, -7, -6, -12, 2, -6, 12, 0, 0, 0, 9, 12, 0, -1, 6, 0, -2, -9, 0, 6, -3, 12, 0, 6, 3, 0, -15, -4, 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"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], [-1, -1], [-2, 2], [0, 1], [1, -2], [4, -2], [0, 0], [-1, 2], [0, -1], [-3, 3], [0, 0], [-2, 0], [-1, -3], [0, 0], [2, 2], [5, -5], [0, 3], [-1, 2], [-4, 2], [2, -1], [0, 0], [0, 0], [6, -6], [-2, -2], [2, 0], [-2, 7], [-4, 0], [0, 0], [-3, 3], [0, -6], [-2, 4], [-6, 3], [0, 0], [3, -6], [0, 0], [1, -1], [5, 5], [6, 0], [8, -2], [3, 0], [-3, -3], [0, 0], [0, -8], [0, 0], [-2, 1], [-12, 6], [2, -4], [0, 10], [-7, 7], [-2, -2], [-6, 0], [3, -4], [-3, 0], [4, 4], [0, 0], [0, 0], [4, -8], [6, -3], [8, -4], [-2, 4], [0, -1], [6, -6], [0, 0], [-1, 0], [-7, 5], [0, 0], [2, 2], [-3, 3], [0, 12], [0, 0], [4, -2], [2, -1], [-1, 2], [0, -15], [-4, 4], [-2, -2], [0, 0], [-10, -4], [4, 0], [-5, -5], [11, -11], [0, 9], [-8, 16], [0, 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