# Stored data for newform 294.2.a.b, downloaded from the LMFDB on 25 April 2024.
{"label": "294.2.a.b", "space_label": "294.2.a", "level": 294, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660925222, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 569621671166874921, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-4, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+4q^{5}+q^{6}-q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 1176, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 2.3476018194256434, "hecke_ring_index": 1, "level_radical": 42, "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": "0.029", "prec": 17}, "analytic_rank_proved": true, "char_values": [294, 1, [197, 199], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 7], "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": "0.998", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.950", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.766", "prec": 17}], "related_objects": ["EllipticCurve/Q/294/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [7, -1]], "trace_display": [-1, -1, 4, 0], "traces": [0, 1, -1, -1, 1, 4, 1, 0, -1, 1, -4, -4, -1, 4, 0, -4, 1, 0, -1, 4, 4, 0, 4, 0, 1, 11, -4, -1, 0, 2, 4, 8, -1, 4, 0, 0, 1, -6, -4, -4, -4, 0, 0, 4, -4, 4, 0, -8, -1, 0, -11, 0, 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"artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [-1], [-1], [1], [4], [1], [0], [-1], [1], [-4], [-4], [-1], [4], [0], [-4], [1], [0], [-1], [4], [4], [0], [4], [0], [1], [11], [-4], [-1], [0], [2], [4], [8], [-1], [4], [0], [0], [1], [-6], [-4], [-4], [-4], [0], [0], [4], [-4], [4], [0], [-8], [-1], [0], [-11], [0], [4], [-10], [1], [-16], [0], [-4], [-2], [4], [-4], [-4], [-8], [0], [1], [16], [-4], [4], [0], [0], [0], [8], [-1], [-16], [6], [-11], [4], [0], [4], [-8], [4], [1], [0], [-12], [0], [0], [-4], [-2], [4], [8], [-4], [0], [0], [-8], [8], [16], [1], [8], [0], [-4], [11]]}