# Stored data for newform 1935.2.a.b, downloaded from the LMFDB on 21 May 2024. {"Nk2": 7740, "analytic_conductor": 15.451052791117755, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [5, 1], [43, 1]], "atkin_lehner_string": "+++", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [1935, 1, [1721, 1162, 46], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [1, 1]], [7, [4, 1]], [11, [0, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503599660926863, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "1935.2.a.b", "level": 1935, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3, 5, 43], "level_radical": 645, "minimal_twist": "1935.2.a.b", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}-q^{4}-q^{5}-4q^{7}+3q^{8}+q^{10}+\\cdots", "related_objects": ["EllipticCurve/Q/1935/b"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1935.2.a", "trace_display": [-1, 0, -1, -4], "trace_hash": 865895492875559443, "trace_moments": [{"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "1.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.999", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.024", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.019", "prec": 17}, "traces": [0, 1, -1, 0, -1, -1, 0, -4, 3, 0, 1, 0, 0, 2, 4, 0, -1, -2, 0, 6, 1, 0, 0, 6, 0, 1, -2, 0, 4, -6, 0, 4, -5, 0, 2, 4, 0, 4, -6, 0, -3, 0, 0, -1, 0, 0, -6, -10, 0, 9, -1, 0, -2, -2, 0, 0, -12, 0, 6, -4, 0, 6, -4, 0, 7, -2, 0, -12, 2, 0, -4, 0, 0, -4, -4, 0, -6, 0, 0, 4, 1, 0, 0, -6, 0, 2, 1, 0, 0, -10, 0, -8, -6, 0, 10, -6, 0, 6, -9, 0, -1, -8, 0, -8, 6, 0, 2, -6, 0, 2, 0, 0, 4, 6, 0, -6, 6, 0, 4, 8, 0, -11, -6, 0, -4, -1, 0, -8, 3, 0, 2, 4, 0, -24, 12, 0, -6, -6, 0, 8, -4, 0, 0, 0, 0, 6, 4, 0, -4, 6, 0, -10, 18, 0, 0, -4, 0, 20, -4, 0, 5, -24, 0, -8, 0, 0, 6, 6, 0, -9, -2, 0, 1, -14, 0, -4, 0, 0, 10, 4, 0, -10, 8, 0, 18, -4, 0, 0, 10, 0, 6, 0, 0, -14, -6, 0, -9, -6, 0, 10, 3, 0, 8, 24, 0, 0, 8, 0, -2, 0, 0, 22, 2, 0, 6, 1, 0, -16, -2, 0, 0, -4, 0, -16, 20, 0, -6, -24, 0, 10, 6, 0, -18, -14, 0, 10, 4, 0, -8, -4, 0, -6, 11, 0, -6, -9, 0, 12, 12, 0, 1, -20, 0, 0, 8, 0, -17, -26, 0, -16, 2, 0, -4, 24, 0, 2, 24, 0, 12, -24, 0, 16, 2, 0, 6, 0, 0, 0, -8, 0, 12, 12, 0, -28, 0, 0, 0, 0, 0, -13, -6, 0, 4, -22, 0, 4, 12, 0, -6, 12, 0, 4, 10, 0, -6, -6, 0, 12, 0, 0, 4, 32, 0, 4, -20, 0, -4, -26, 0, 0, -7, 0, 24, -12, 0, 2, 8, 0, 0, 40, 0, 14, 6, 0, -6, 12, 0, -6, 9, 0, -2, 0, 0, -8, -3, 0, 14, 4, 0, -10, 4, 0, 0, -18, 0, 0, 10, 0, -4, 36, 0, 17, 10, 0, 8, 4, 0, -8, -6, 0, 4, 8, 0, -32, 0, 0, -30, -12, 0, 16, 6, 0, 0, 28, 0, 0, 14, 0, -6, 30, 0, -12, 27, 0, 6, -4, 0, -2, -10, 0, -1, 20, 0, 8, 8, 0, -24, 0, 0, -18, 0, 0, 8, 16, 0, 6, -10, 0, 0, -28, 0, -38, -22, 0, -6, -2, 0, -24, 6, 0, -1, 12, 0, 16, 16, 0, -2, 36, 0, 40, 0, 0, 4, -6, 0, 10, 16, 0, -28, -30, 0, 0, -6, 0, 24, 8, 0, 36, -10, 0, 6, -4, 0, -36, 6, 0, 14, 12, 0, 48, -10, 0, -12, 0, 0, 6, -8, 0, 4, 12, 0, 8, 6, 0, 11, -6, 0, -24, 18, 0, 9, -20, 0, 12, -12, 0, -4, 0, 0, -6, 1, 0, 20, 40, 0, 8, 0, 0, 8, -8, 0, 16, 11, 0, 26, 8, 0, 0, 16, 0, -6, -30, 0, 40, -4, 0, -24, -8, 0, 13, -2, 0, 24, 0, 0, 6, -36, 0, 24, 0, 0, 30, -16, 0, 10, -2, 0, -28, 6, 0, 0, -36, 0, -16, 0, 0, -8, -10, 0, -2, -4, 0, -12, -42, 0, -6, 28, 0, 0, 0, 0, 38, 0, 0, 0, 6, 0, 16, 13, 0, -6, 24, 0, 0, -12, 0, 22, 32, 0, 24, -4, 0, -4, 38, 0, -8, -6, 0, -12, 16, 0, -26, -4, 0, 10, 11, 0, -28, -30, 0, 6, -20, 0, 26, -12, 0, 0, 14, 0, -4, 4, 0, -32, 40, 0, 1, -4, 0, -20, -8, 0, -30, 12, 0, 26, 8, 0, 18, 0, 0, -3, -42, 0, 4, 24, 0, 12, 0, 0, 0, -2, 0, 8, 42, 0, -4, 0, 0, -40, -24, 0, -14, -14, 0, -18, 24, 0, -36, -6, 0, -12, 0, 0, -24, 6, 0, 9, -42, 0, -24, 6, 0, 0, -42, 0, 6, 8, 0, 1, -4, 0, 50, 14, 0, -4, -8, 0, 0, 10, 0, 4, -44, 0, 24, 0, 0, 18, 32, 0, -6, 0, 0, -30, 24, 0, 0, -4, 0, -36, -48, 0, 32, -17, 0, 10, -6, 0, -16, -24, 0, -4, 2, 0, -8, 8, 0, -30, 0, 0, 34, 4, 0, -8, -44, 0, -6, 32, 0, 0, 24, 0, 22, 10, 0, 12, 10, 0, -36, -16, 0, -18, 30, 0, -8, 0, 0, -28, -8, 0, 18, 0, 0, 14, 6, 0, 4, 18, 0, -30, 0, 0, 0, 12, 0, -9, -20, 0, -28, 6, 0, 4, -24, 0, 12, 2, 0, -10, 34, 0, 20, -5, 0, -20, 0, 0, 24, -8, 0, -24, -8, 0, -10, -24, 0, 0, 8, 0, -6, 18, 0, 0, 8, 0, 8, -24, 0, -16, -6, 0, 6, -6, 0, 14, -18, 0, -6, 0, 0, 28, 0, 0, 7, 38, 0, -22, 9, 0, 44, 2, 0, 2, 24, 0, -10, 24, 0, -18, 6, 0, -18, -1, 0, -12, 52, 0, 14, -16, 0, 16, 0, 0, -24, 6, 0, -36, 4, 0, -14, -40, 0, 0, -40, 0, -28, 4, 0, 6, 0, 0, 32, -10, 0, 16, -60, 0, -4, -12, 0, 30, -24, 0, 4, 0, 0, 18, 10, 0, 12, 24, 0, -8, 56, 0, 0, -36, 0, -10, -16, 0, 16, -18, 0, 4, 0, 0, 4, 36, 0, 30, -34, 0, 54, 14, 0, -12, 0, 0, -36, -48, 0, -10, -12, 0, 0, 4, 0, 0, -6, 0, -8, -6, 0, 24, 10, 0, 0, 4, 0, -12, 24, 0, -15, -8, 0, 6, 14, 0, -32, -33, 0, 6, 8, 0, -32, 24, 0, -6, -26, 0, 0, 9, 0, 20, -16, 0, 6, -12, 0, -12, -6, 0, 10, -20, 0, 0, -10, 0, -44, 6, 0, -3, 0, 0, 8, 20, 0, -40, -12, 0, -62, -8, 0, 0, -46, 0, -24, -24, 0, 8, -52, 0, -30, -16, 0, 23, 0, 0, 8, 26, 0, -8, -32, 0, -6, 0, 0, 16, -12, 0, 34, 2, 0, 30, -24, 0, 0, -40, 0, 12, -52, 0, -14, -24, 0, 8, -22, 0, 40, -13, 0, -2, 14, 0, 48, -72, 0, 0, 0, 0, 2, -6, 0, 12, -24, 0, -1, 24, 0, 0, -12, 0, -60, -30, 0, -16, 16, 0, -32, -14, 0, 2, -28, 0, -32, 28, 0, -18, 38, 0, -80, 0, 0, 36, -36, 0, 4, 16, 0, 0, -10, 0, 0, 24, 0, 10, 16, 0, 32, 2, 0, -20, -24, 0, 24, -12, 0, 42, 54, 0, -10, 6, 0, 28, 0, 0, 24, 0, 0, 0, 24, 0, 32, -38, 0, 0, -10, 0, 16, 0, 0, -6, -40, 0, 58, -16, 0, 13, -20, 0, 36, 18, 0, -24, -24, 0, 14, 0, 0, 4, -24, 0, -64, 22, 0, -32, -10, 0, 0, -24, 0, -4, 30, 0, 36, -20, 0, -38, 0, 0, 0, 8, 0, 18, 38, 0, 4, -12, 0, -16, 0, 0, -54, 26, 0, -4, 6, 0, 0, -30, 0, -11, 56, 0, 6, 28, 0, 42, 2, 0, -12, 6, 0, 20, -4, 0, 9, -26, 0, -12, 36, 0, -30, 0, 0, -14, -12, 0, 28, 4, 0, -12, 8, 0, 0, -32, 0, -40, 6, 0, -6, -1, 0, -4, -16, 0, 20, 60, 0, 8, -36, 0, 12, 30, 0, -4, 0, 0, 40, 26, 0, -8, 0, 0, -72, -18, 0, 0, 38, 0, -2, 17, 0, 42, 46, 0, 26, -4, 0, -72, -66, 0, 40, 12, 0, 0, 16, 0, 68, 0, 0, -2, 60, 0, 24, -24, 0, -42, 42, 0, 0, 4, 0, 0, -16, 0, -24, -40, 0, 24, 40, 0, 38, 14, 0, -14, -2, 0, 40, 6, 0, -24, 0, 0, -4, 36, 0, 18, 0, 0, -16, -12, 0, 0, -8, 0, 24, 24, 0, 6, 0, 0, 56, -27, 0, 42, -16, 0, -24, 24, 0, -2, 42, 0, 60, 0, 0, 42, 52, 0, -21, -6, 0, 8, 14, 0, 0, 5, 0, 4, 24, 0, 34, -50, 0, -42, 0, 0, -24, -4, 0, 8, -12, 0, -40, 0, 0, 10, 0, 0, -60, -12, 0, 44, 36, 0, -12, -24, 0, 0, -18, 0, 12, 18, 0, -32, 28, 0, 4, 6, 0, 0, -54, 0, 8, 10, 0, -24, 52, 0, 46, 0, 0, 12, -22, 0, 0, -36, 0, 48, 72, 0, 0, -32, 0, -17, 13, 0, -56, -30, 0, 6, 36, 0, 4, 16, 0, 8, -40, 0, -52, -4, 0, -2, 0, 0, 22, 8, 0, 8, 12, 0, -36, 42, 0, 0, -4, 0, -88, -34, 0, -12, -30, 0, 12, -8, 0, 44, -10, 0, -66, 6, 0, 32, 34, 0, -12, 0, 0, -24, 36, 0, 24, -22, 0, 50, -4, 0, 0, 12, 0, -10, 40, 0, 20, 36, 0, -16, 0, 0, 36, 6, 0, -30, 64, 0, 6, 8, 0, 0, 0, 0, 42, -28, 0, 8, -12, 0, 12, -18, 0, 0, -72, 0, 40, -42, 0, -6, 16, 0, -46, -4, 0, -6, 18, 0, -32, -30, 0, 0, 24, 0, 64, 0, 0, 12, -4, 0, -28, -45, 0, 20, -36, 0, -22, 28, 0, -18, -36, 0, 20, 4, 0, 24, 54, 0, 26, -12, 0, 2, 96, 0, -4, 30, 0, -34, 0, 0, 70, -20, 0, 7, 12, 0, -40, -20, 0, 0, -6, 0, -10, -24, 0, -8, 42, 0, 12, 8, 0, 8, 68, 0, 70, 10, 0, 72, -2, 0, 28, 0, 0, -8, 56, 0, 0, 6, 0, 18, 58, 0, 0, 0, 0, -8, -8, 0, -40, -8, 0, 8, -12, 0, -16, -16, 0, 6, -14, 0, -26, -6, 0, -6, 0, 0, 72, 6, 0, 18, 28, 0, -18, 6, 0, 0, 16, 0, -12, 28, 0, 0, -24, 0, -41, -7, 0, 38, 6, 0, 24, 66, 0, -9, -60, 0, 26, -44, 0, 10, -78, 0, -50, 2, 0, -24, 8, 0, 0, 10, 0, 24, -58, 0, 24, 6, 0, -6, 8, 0, 16, 18, 0, 3, 64, 0, -28, -12, 0, -52, 0, 0, -48, -14, 0, -16, 14, 0, -4, -48, 0, 0, -40, 0, -14, 24, 0, -2, 10, 0, -8, -36, 0, -4, 16, 0, 28, 14, 0, -40, 80, 0, -58, 0, 0, 40, 0, 0, 18, 28, 0, -12, -36, 0, 0, 6, 0, 0, 0, 0, -70, -32, 0, -10, -12, 0, 40, -48, 0, 60, -62, 0, -50, 4, 0, 68, 0, 0, -36, 30, 0, 24, 104, 0, -30, -4, 0, 0, -17, 0, 16, -6, 0, -10, 20, 0, 36, -12, 0, -72, 24, 0, 12, -8, 0, -56, -14, 0, -4, 0, 0, -36, -16, 0, -56, 30, 0, 16, 8, 0, 0, -16, 0, 6, -96, 0, 36, 4, 0, 0, 74, 0, 1, -4, 0, 36, -4, 0, -8, -42, 0, 34, 0, 0, 74, -54, 0, -42, 32, 0, -76, -12, 0, 0, 16, 0, -38, 36, 0, -48, -6, 0, -26, 30, 0, 12, 96, 0, 12, 0, 0, 20, 16, 0, 24, 0, 0, 6, -16, 0, -64, 8, 0, -6, 44, 0, 0, -8, 0, -10, -50, 0, -36, 0, 0, -12, 38, 0, -28, -12, 0, -24, -48, 0, -12, 15, 0, -8, 0, 0, 0, -18, 0, -14, 68, 0, 62, 32, 0, 11, 12, 0, 0, 6, 0, -8, 72, 0, -30, 32, 0, 24, 20, 0, 0, -30, 0, 26, 12, 0, -48, 0, 0, -27, -8, 0, -20, 20, 0, 16, -48, 0, 0, -6, 0, -12, 18, 0, 4, 36, 0, 6, 0, 0, 112, -10, 0, 28, 2, 0, 84, 0, 0, 10, 0, 0, -34, 44, 0, 6, -50, 0, -16, 1, 0, 0, 54, 0, -20, -8, 0, -60, 0, 0, 2, -40, 0, 12, -8, 0, 12, 62, 0, -8, 10, 0, 52, 0, 0, 46, 42, 0, -22, 24, 0, 8, -36, 0, 0, 8, 0, 52, -64, 0, 40, 30, 0, -16, 18, 0, -60, -45, 0, 0, 88, 0, -40, -8, 0, -78, 22, 0, 0, -8, 0, 32, 36, 0, -16, 6, 0, 0, -50, 0, 12, -48, 0, 12, -6, 0, -48, -34, 0, 10, -56, 0, 52, 30, 0, 24, -86, 0, 30, 0, 0, -40, -48, 0, 28, -4, 0, 52, 84, 0, 0, 14, 0, 72, 38, 0, -9, 8, 0, 22, 12, 0, 14, -40, 0, -13, 24, 0, -16, 6, 0, -14, 0, 0, 2, -48, 0, 24, 66, 0, 16, 0, 0, 0, 24, 0, -4, -2, 0, -6, 42, 0, 16, 60, 0, 24, 36, 0, -48, 1, 0, -72, 2, 0, -12, 0, 0, 12, 16, 0, -14, 60, 0, -30, -16, 0, 0, 48, 0, -16, 12, 0, 0, 32, 0, -6, -128, 0, -22, 2, 0, 28, -16, 0, -36, 32, 0, 28, 0, 0, -16, 6, 0, -38, -40, 0, -44, 80, 0, 0, 0, 0, -12, 36, 0, 36, -58, 0, 53, -4, 0, 16, 26, 0, 6, 0, 0, 10, 104, 0, -22, 0, 0, -8, -10, 0, -8, 10, 0, -16, 36, 0, 0, -32, 0, 2, -58, 0, -6, 28, 0, 24, 24, 0, 30, -24, 0, 36, -28, 0, 44, 42, 0, -54, 0, 0, 24, 10, 0, 6, 48, 0, -16, -84, 0, 0, -50, 0, 26, -24, 0, 0, -18, 0, -8, 0, 0, -24, 2, 0, 26, -32, 0, -38, -36, 0, -32, 0, 0, 10, -24, 0, 38, -16, 0, 0, -10, 0, -66, -6, 0, 40, -90, 0, 4, -58, 0, -16, 30, 0, -82, -39, 0, 20, 36, 0, -56, -36, 0, -6, 0, 0, -48, -24, 0, 24, 8, 0, 12, -14, 0, 0, 54, 0, -12, 20, 0, 24, 12, 0, 34, 64, 0, -66, -48, 0, -20, -32, 0, 10, 8, 0, -20, 0, 0, -24, 42, 0, 24, 12, 0, -30, -16, 0, 0, -36, 0, 28, -48, 0, 60, -38, 0, 0, -6, 0, -64, 0, 0, 8, -84, 0, -28, -6, 0, -38, 0, 0, -46, -4, 0, 36, 42, 0, -12, -16, 0, 0, 0, 0, -31, 54, 0, 26, -8, 0, 36, 12, 0, -6, -92, 0, -48, 0, 0, 10, 58, 0, 0, -11, 0, -56, -42, 0, 6, -6, 0, 28, -16, 0, 0, 18, 0, -2, 24, 0, 28, 12, 0, -18, -18, 0, 40, 20, 0, 4, -12, 0, 16, -9, 0, -26, 0, 0, 20, 36, 0, -36, 52, 0, -36, 30, 0, 0, -12, 0, 52, -14, 0, 12, 72, 0, 32, -28, 0, 4, 46, 0, -48, 4, 0, -8, 0, 0, 0, 0, 0, 96, 24, 0, 20, -40, 0, -6, 6, 0, 0, 6, 0, -1, 0, 0, -88, 12, 0, 16, 12, 0, -28, -20, 0, -20, -144, 0, -40, 8, 0, 36, 0, 0, -2, -12, 0, 30, -8, 0, -68, -20, 0, 0, 44, 0, -12, -40, 0, -78, 4, 0, 34, -8, 0, 0, -50, 0, 8, 72, 0, -18, 66, 0, -4, 0, 0, -38, -16, 0, -16, 2, 0, -11, -12, 0, 0, 42, 0, -46, 20, 0, 32, -26, 0, -4, -24, 0, -8, 24, 0, 66, -76, 0, 60, -40, 0, -36, 0, 0, 20, 0, 0, -16, -8, 0, 38, -68, 0, 0, -18, 0, 36, 6, 0, -60, -36, 0, 30, -24, 0, 8, 10, 0, 128, -42, 0, -42, -40, 0, 44, 0, 0, 4, 32, 0, -6, 0, 0, 16, 0, 0, 0, 24, 0, 120, -78, 0, 8, 24, 0, -40, 48, 0, 48, -38, 0, 14, -13, 0, -88, 42, 0, 2, 0, 0, -64, -40, 0, 30, 46, 0, -96, -24, 0, 0, 22, 0, 0, 4, 0, 36, -40, 0, -22, -6, 0, 0, -6, 0, 70, 16, 0, 36, -112, 0, -36, 0, 0, 8, 54, 0, 50, -24, 0, 24, -90, 0, 0, -18, 0, 0, 4, 0, -16, -56, 0, 9, -30, 0, 44, 42, 0, 16, -32, 0, 42, 24, 0, 24, 0, 0, -76, -10, 0, -42, -120, 0, 2, -60, 0, 0, 70, 0, 86, 42, 0, -52, 28, 0, 48, 21, 0, -6, 70, 0, 44, -24, 0, -14, 0, 0, 70, 0, 0, -7, -6, 0, 36, 4, 0, -24, -40, 0, 0, -34, 0, -50, 16, 0, -64, 14, 0, 0, 16, 0, 40, 24, 0, 12, 18, 0, 8, 8, 0, 12, -66, 0, 10, 40, 0, 0, 42, 0, 98, -30, 0, 0, 2, 0, 68, 60, 0, 4, 24, 0, -32, 44, 0, -36, -80, 0, -49, 12, 0, -24, -36, 0, 42, 0, 0, 18, -88, 0, -32, -12, 0, -54, 6, 0, 0, -32, 0, -28, 36, 0, -46, -4, 0, 6, -18, 0, -12, 0, 0, 54, 0, 0, 0, -8, 0, 50, 0, 0, 20, -24, 0, -52, -38, 0, 8, -46, 0, 0, -84, 0, 72, -4, 0, 22, -60, 0, -60, 0, 0, 108, 18, 0, -6, 48, 0, -72, 72, 0, 12, 0, 0, -32, -16, 0, 80, 51, 0, -13, -36, 0, 0, 56, 0, 10, -94, 0, -32, 6, 0, -36, 60, 0, -24, -4, 0, 16, 42, 0, 0, 40, 0, 40, 0, 0, 54, 52, 0, 12, -48, 0, 16, -2, 0, 0, 24, 0, 48, -22, 0, 8, 112, 0, -32, -24, 0, -12, 52, 0, 28, 36, 0, 18, -24, 0, 152, 0, 0, 4, -48, 0, -56, 88, 0, -34, -82, 0, 0, 4, 0, 30, 52, 0, -38, -12, 0, 24, -22, 0, 52, 44, 0, 10, 8, 0, 20, 66, 0, 6, 0, 0, 120, -96, 0, -34, 48, 0, 54, 12, 0, 0, 0, 0, -16, -24, 0, -36, -24, 0], "weight": 2, "weight_parity": 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], [0], [-1], [-1], [0], [-4], [3], [0], [1], [0], [0], [2], [4], [0], [-1], [-2], [0], [6], [1], [0], [0], [6], [0], [1], [-2], [0], [4], [-6], [0], [4], [-5], [0], [2], [4], [0], [4], [-6], [0], [-3], [0], [0], [-1], [0], [0], [-6], [-10], [0], [9], [-1], [0], [-2], [-2], [0], [0], [-12], [0], [6], [-4], [0], [6], [-4], [0], [7], [-2], [0], [-12], [2], [0], [-4], [0], [0], [-4], [-4], [0], [-6], [0], [0], [4], [1], [0], [0], [-6], [0], [2], [1], [0], [0], [-10], [0], [-8], [-6], [0], [10], [-6], [0], [6], [-9], [0], [-1]]}