# Stored data for newform 294.2.a.d, downloaded from the LMFDB on 25 April 2024. {"label": "294.2.a.d", "space_label": "294.2.a", "level": 294, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915666214, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2199722401057564226, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-3, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}+3q^{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": "0.012", "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": "0.023", "prec": 17}, {"__RealLiteral__": 0, "data": "0.993", "prec": 17}, {"__RealLiteral__": 0, "data": "0.070", "prec": 17}, {"__RealLiteral__": 0, "data": "1.963", "prec": 17}, {"__RealLiteral__": 0, "data": "0.180", "prec": 17}, {"__RealLiteral__": 0, "data": "4.830", "prec": 17}], "related_objects": ["EllipticCurve/Q/294/d"], "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, 3, 0], "traces": [0, 1, -1, 1, 1, 3, -1, 0, -1, 1, -3, 3, 1, -4, 0, 3, 1, 0, -1, -4, 3, 0, -3, 0, -1, 4, 4, 1, 0, 9, -3, -1, -1, 3, 0, 0, 1, 8, 4, -4, -3, 0, 0, -10, 3, 3, 0, -6, 1, 0, -4, 0, -4, -3, -1, 9, 0, -4, -9, 3, 3, -10, 1, 0, 1, -12, -3, -10, 0, 0, 0, -6, -1, 2, -8, 4, -4, 0, 4, -1, 3, 1, 0, -9, 0, 0, 10, 9, -3, 6, -3, 0, 0, -1, 6, -12, -1, -1, 0, 3, 4, -18, 0, 8, 4, 0, 3, -3, 1, 14, -9, 8, 0, 0, 4, 0, 9, -4, -3, 0, -3, -2, 10, 0, -1, -3, 0, 5, -1, -10, 12, -9, 3, 0, 10, 3, 0, 18, 0, 2, 0, -6, 6, -12, 1, 27, -2, 0, 8, 18, -4, -1, 4, 0, 0, -3, -4, -4, 1, -3, -3, 0, -1, -16, 0, 9, 9, 6, 0, 3, 0, -4, -10, 18, -9, 0, 3, 3, -6, 12, 3, 8, 0, -10, 0, 24, 1, 0, -6, 0, 12, 0, 1, -19, 1, -12, 0, 6, -3, 20, -4, -10, 18, 0, 0, 0, -8, 0, -4, -12, 0, 14, -3, -6, 3, -30, -1, 0, -14, 2, 9, 0, -8, -19, 0, 4, 0, -27, -4, -4, 0, 0, -9, -24, 4, -18, 3, -1, 0, -24, 3, -1, 2, 1, -10, 0, 0, 16, 1, -9, 3, 27, 0, 0, -5, 0, 1, 6, 10, 0, -12, 9, 9, -6, -3, -9, 0, 6, -10, 21, -3, 11, 0, 0, -18, 12, 0, 8, -2, -1, 0, 6, 6, 14, -6, -12, 12, 0, -1, -17, -27, -1, 2, 33, 0, 9, -8, 3, -18, 0, 4, 0, 1, -18, -4, -30, 0, 8, 0, 8, 3, 24, 4, -31, 4, 0, -1, 9, 3, 27, 3, -3, 0, 0, 1, -16, 16, 14, 0, 0, -9, 20, -9, 8, -6, -30, 0, -7, -3, 0, 0, -3, 4, 0, 10, 0, -18, 12, 9, 26, 0, -4, -3, 24, -3, -18, 6, 0, -12, 30, -3, -3, -8, -2, 0, 6, 10, -19, 0, 0, -24, 0, -1, 8, 0, -3, 6, -36, 0, 8, -12, 5, 0, 18, -1, 0, 19, -10, -1, -6, 12, 0, 0, -9, -6, -3, 3, -4, -20, 0, 4, 24, 10, 4, -18, 3, 0, 24, 0, -25, 0, 18, 8, 0, 0, -27, 4, 2, 12, 0, 0, -22, -14, -6, 3, 0, 6, 0, -3, -12, 30, 12, 1, -34, 0, 27, 14, 0, -2, 35, -9, 0, 0, -33, 8, 18, 19, 18, 0, 12, -4, 0, 0, -1, 27, 0, 4, -1, 4, 0, 0, 30, 0, 8, 9, -3, 24, 36, -4, 0, 18, -4, -3, -30, 1, -16, 0, -3, 24, -18, -3, -32, 1, 0, -2, -3, -1, 41, 10, -16, 0, -33, 0, 0, -16, 9, -1, 0, 9, 2, -3, 6, -27, -12, 0, -54, 0, 3, 5, -3, 0, 0, -1, -4, -6, 24, -10, -18, 0, 18, 12, -18, -9, -4, -9, 0, 6, 0, 3, -23, 9, 3, 0, 0, -6, -9, 10, 12, -21, 0, 3, 26, -11, 8, 0, 42, 0, 8, 18, -10, -12, -36, 0, 0, -8, 24, 2, 3, 1, 40, 0, 0, -6, 39, -6, 0, -14, 0, 6, -36, 12, -34, -12, 0, 0, 0, 1, 23, 17, -19, 27, 0, 1, -9, -2, -12, -33, 21, 0, 4, -9, 6, 8, 24, -3, 0, 18, 20, 0, -18, -4, 11, 0, -10, -1, -6, 18, -7, 4, 0, 30, 24, 0, -16, -8, 0, 0, -6, -8, -34, -3, 0, -24, 0, -4, -29, 31, -12, -4, 0, 0, -7, 1, 14, -9, 15, -3, 0, -27, -6, -3, -30, 3, -34, 0, -30, 0, -18, -1, 9, 16, 0, -16, 3, -14, -27, 0, 2, 0, -24, 9, 14, -20, 0, 9, 0, -8, 0, 6, -19, 30, -30, 0, 29, 7, 4, 3, -33, 0, 0, 0, -27, 3, 33, -4, 54, 0, -4, -10, 12, 0, 8, 18, 0, -12, 6, -9, 0, -26, -24, 0, -15, 4, -32, 3, -18, -24, 0, 3, -10, 18, -1, -6, 0, 0, -36, 12, -24, -30, -18, 3, 0, 3, -1, 8, 36, 2, -13, 0, 1, -6, 0, -10, -10, 19, 0, 0, -30, 0, 50, 24, 16, 0, 42, 1, 54, -8, -9, 0, 0, 3, -7, -6, 27, 36, -3, 0, 38, -8, 0, 12, 12, -5, 0, 0, 0, -18, -12, 1, -19, 0, 6, -19, 6, 10, -4, 1, 0, 6, 0, -12, -18, 0, 9, 0, -12, 9, 50, 6, -6, 3, 0, -3, 40, 4, -9, 20, -33, 0, 0, -4, 6, -24, 6, -10, 0, -4, 21, 18, 0, -3, 2, 0, 11, -24, -48, 0, 40, 25, 0, 0, -3, -18, -40, -8, 12, 0, 15, 0, -4, 27, 8, -4, 0, -2, 18, -12, -1, 0, -24, 0, 52, 22, 6, 14, 9, 6, 0, -3, 14, 0, 0, -6, -10, 0, -12, 3, -42, 12, 50, -30, 0, -12, 6, -1, 54, 34, -17, 0, -3, -27, 40, -14, -1, 0, 0, 2, 32, -35, 33, 9, -6, 0, 32, 0, 9, 33, -24, -8, 0, -18, 3, -19, 24, -18, 36, 0, 0, -12, -9, 4, 0, 0, 0, 0, 24, 1, 8, -27, -18, 0, 6, -4, -27, 1, -30, -4, 0, 0, 8, 0, 8, -30, 24, 0, 32, -8, 8, -9, -6, 3, 0, -24, 24, -36, 0, 4, 35, 0, -31, -18, -9, 4, 0, 3, 0, 30, 0, -1, -8, 16, 9, 0, -6, 3, 0, -24, 27, 18, 0, 3, -30, 32, -3, -1, -57, 0, -1, 2, 0, 3, -39, 1, 0, -41, -16, -10, 42, 16, 18, 0, 14, 33, 36, 0, 18, 0, 0, 16, 0, -9, -13, 1, 20, 0, 60, -9, 14, -2, 8, 3], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "42.2.e.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], [-1], [1], [1], [3], [-1], [0], [-1], [1], [-3], [3], [1], [-4], [0], [3], [1], [0], [-1], [-4], [3], [0], [-3], [0], [-1], [4], [4], [1], [0], [9], [-3], [-1], [-1], [3], [0], [0], [1], [8], [4], [-4], [-3], [0], [0], [-10], [3], [3], [0], [-6], [1], [0], [-4], [0], [-4], [-3], [-1], [9], [0], [-4], [-9], [3], [3], [-10], [1], [0], [1], [-12], [-3], [-10], [0], [0], [0], [-6], [-1], [2], [-8], [4], [-4], [0], [4], [-1], [3], [1], [0], [-9], [0], [0], [10], [9], [-3], [6], [-3], [0], [0], [-1], [6], [-12], [-1], [-1], [0], [3], [4]]}