# Stored data for newform 5390.2.a.h, downloaded from the LMFDB on 25 April 2024.
{"label": "5390.2.a.h", "space_label": "5390.2.a", "level": 5390, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525197425153294, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 193853027744895119, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [1, 1]], [13, [2, 1]], [17, [3, 1]], [19, [-7, 1]], [31, [-7, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+q^{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": 21560, "fricke_eigenval": -1, "atkin_lehner_string": "+---", "analytic_conductor": 43.03936668947013, "hecke_ring_index": 1, "level_radical": 770, "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": "0.015", "prec": 17}, "analytic_rank_proved": true, "char_values": [5390, 1, [2157, 4511, 981], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 7, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.052", "prec": 17}, {"__RealLiteral__": 0, "data": "0.993", "prec": 17}, {"__RealLiteral__": 0, "data": "0.089", "prec": 17}, {"__RealLiteral__": 0, "data": "2.004", "prec": 17}, {"__RealLiteral__": 0, "data": "0.262", "prec": 17}, {"__RealLiteral__": 0, "data": "5.066", "prec": 17}], "related_objects": ["EllipticCurve/Q/5390/h"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, -1], [7, -1], [11, -1]], "trace_display": [-1, -1, 1, 0], "traces": [0, 1, -1, -1, 1, 1, 1, 0, -1, -2, -1, 1, -1, -2, 0, -1, 1, -3, 2, 7, 1, 0, -1, -6, 1, 1, 2, 5, 0, -3, 1, 7, -1, -1, 3, 0, -2, -7, -7, 2, -1, -6, 0, 8, 1, -2, 6, -6, -1, 0, -1, 3, -2, -3, -5, 1, 0, -7, 3, 6, -1, 1, -7, 0, 1, -2, 1, 8, -3, 6, 0, 3, 2, -2, 7, -1, 7, 0, -2, -10, 1, 1, 6, 6, 0, -3, -8, 3, -1, -9, 2, 0, -6, -7, 6, 7, 1, 4, 0, -2, 1, 6, -3, 4, 2, 0, 3, 0, 5, 14, -1, 7, 0, 12, 7, -6, -3, 4, -6, 0, 1, 1, -1, 6, 7, 1, 0, -16, -1, -8, 2, 3, -1, 0, -8, 5, 3, 12, -6, 4, 0, 6, -3, -2, -2, -3, 2, 0, -7, 15, 1, 2, -7, 6, 0, 7, 2, 7, 10, 3, -1, 0, -1, 5, -6, -1, -6, -21, 0, -9, 3, -14, 8, -18, -3, 0, 1, -6, 9, -12, -2, 22, 0, -1, 6, -7, 7, -3, -6, 0, -7, -12, -1, 23, -4, 2, 0, 0, 2, -11, -1, -8, -6, 0, 3, -6, -4, 12, -2, 7, 0, 5, -3, -3, 0, 8, -5, 0, -14, 2, 1, 6, -7, -14, 0, -2, -12, 18, -7, -14, 6, 0, 3, 27, -4, -6, 6, 10, 0, 6, -1, 22, -1, -16, 1, 0, -6, -14, -7, -6, -1, 30, 0, -6, 16, 3, 1, -6, 8, 0, -2, 6, -3, -9, 1, -3, 0, 9, 8, 12, -5, -20, -3, 0, -12, 1, 6, -4, -4, -14, 0, 30, -6, -2, 3, -7, 2, 0, 2, -8, 3, -4, -2, 6, 0, 6, 7, 5, -15, 12, -1, 0, -2, -6, 7, 1, -6, 10, 0, -4, -7, 15, -2, -14, -7, 0, -10, -21, -3, -3, 1, 0, 0, -21, 1, -2, -5, -14, 6, 0, 1, 8, 6, 14, 21, 8, 0, 5, 9, -12, -3, 7, 14, 0, -8, 6, 18, 30, 3, 10, 0, -10, -1, -6, 6, 3, -9, 0, 12, -12, 2, 30, -22, -1, 0, -2, 1, 4, -6, 12, 7, 0, -7, 2, 3, -1, 6, 6, 0, 26, 7, 16, 12, 18, 1, 0, -23, -16, 4, 18, -2, 18, 0, -3, 0, -10, -2, 22, 11, 0, 1, 3, 8, -14, 6, 1, 0, -7, -3, 4, 6, -12, 4, 0, -12, 6, 2, -4, -7, -24, 0, 8, -5, 12, 3, -3, 3, 0, 0, 2, -8, -24, 5, 28, 0, 3, 14, -42, -2, 16, -1, 0, -6, 12, 7, -9, 14, -15, 0, -30, 2, -6, 12, -2, -18, 0, 7, 17, 14, -15, -6, -3, 0, -22, -3, -7, -27, 39, 4, 0, 6, -7, -6, 8, -10, 7, 0, 6, -6, 36, 1, 14, -22, 0, 1, 4, 16, 8, -1, -5, 0, 33, 6, 9, 14, -2, 7, 0, 6, 44, 1, 21, -30, 0, 0, 6, 6, 9, -16, 12, -3, 0, -1, 35, 6, 4, -8, -6, 0, 18, 2, 18, -6, 16, 3, 0, 9, -21, -1, 13, 3, -12, 0, 12, -9, 0, -8, 12, -12, 0, 5, 41, 20, -22, 3, 14, 0, 8, 12, -2, -1, -21, -6, 0, 4, 7, 4, -6, 14, -16, 0, 3, -30, 6, 6, 12, 2, 0, -3, 24, 7, -25, -2, 12, 0, -6, -2, -38, 8, -23, -3, 0, 4, -3, 2, 4, -6, -3, 0, 49, -6, 0, -7, 6, -5, 0, 15, 11, -12, 9, 1, 22, 0, -16, 2, 1, 6, 49, -7, 0, -1, 12, 6, 2, -10, 6, 0, -48, 4, -20, 7, -30, -15, 0, 2, 1, 14, -7, 7, 21, 0, 35, 10, -5, 21, -16, 3, 0, 3, -6, -1, -33, 0, -5, 0, -8, 21, -6, -1, 6, 2, 0, 5, -45, 14, 3, -6, 4, 0, -21, -1, -14, -8, -6, -6, 0, -14, 18, -21, 14, -8, 1, 0, -1, -5, 5, -9, -12, 12, 0, 3, -18, -7, -9, -14, 12, 0, 14, 8, 6, -6, 10, -18, 0, -30, 4, -3, 18, -10, -27, 0, 39, 10, -49, 1, 6, 6, 0, -6, -34, -3, 20, 9, -42, 0, -2, -12, -6, 12, 51, -2, 0, -30, -22, 22, -3, 1, 10, 0, 13, 2, -24, -1, 4, -4, 0, 6, 8, -12, -16, -7, 14, 0, -3, 7, 15, -2, -12, -3, 0, 1, 5, -6, -30, -6, 2, 0, 26, -26, 6, -7, 30, -16, 0, -12, 6, -18, -12, -1, 10, 0, 6, 23, -9, 16, 7, -4, 0, -18, -42, 2, 3, -18, -15, 0, 7, 3, -8, 0, 9, 10, 0, 2, -2, -22, 3, -11, -30, 0, 18, -1, 18, -3, -2, -8, 0, 14, -12, -6, -30, -1, 13, 0, 20, 7, 5, 3, 56, -4, 0, -6, 30, 12, -4, -4, -1, 0, 12, 12, 52, -6, 4, -2, 0, 4, -21, 7, 35, 24, -48, 0, -20, -8, -30, 5, -9, -12, 0, -3, 2, 3, 42, -3, 34, 0, -14, 0, -3, -2, -14, 8, 0, 24, -6, -5, -18, -28, 8, 0, -10, -3, -16, -14, -8, 42, 0, 2, -22, -16, -6, 1, -18, 0, -1, 6, -6, -12, 0, -7, 0, 9, 1, -14, -42, 15, -12, 0, -12, 30, -21, -2, 9, 6, 0, -12, 22, 2, 17, 18, -12, 0, 15, -7, 6, -17, -1, -14, 0, 15, -4, 6, -10, 3, -6, 0, -7, 22, -8, 3, 45, 7, 0, 27, -15, -39, -3, -4, -26, 0, 14, -6, 15, 7, 36, 6, 0, -8, 3, 10, 4, -7, 21, 0, -27, -6, -12, 6, 3, -36, 0, -1, 18, -14, 0, 22, 23, 0, -13, -1, 21, -4, 24, -16, 0, -8, 2, 1, 12, 5, -9, 0, -28, -33, 6, -6, 0, -9, 0, -14, -48, 2, -40, -7, -8, 0, -11, -6, 28, -44, -35, -1, 0, -21, -18, 30, -8, 0, -21, 0, 14, -6, -5, -6, -9, -9, 0, 16, -24, -12, -39, 3, -2, 0, -7, 1, -6, -35, 20, -6, 0, -4, -18, 8, 47, 6, 12, 0, -3, -18, -56, -2, -30, -18, 0, 6, 7, -16, -10, -3, -51, 0, 20, -9, -2, 21, 5, 1, 0, -13, 6, -3, 24, 12, 1, 0, -3, -12, 4, 9, -59, 0, 0, 8, 21, -12, 8, 12, 12, 0, -12, -5, 36, -41, -30, -20, 0, 22, -46, -3, -2, -14, -45, 0, 23, -8, 2, -12, 9, 2, 0, 1, -4, 21, -42, 6, 6, 0, -30, -4, -54, -7, 6, -4, 0, 6, -14, -14, 20, 16, -2, 0, 42, -3, -44, 30, -2, -6, 0, -6, -46, -12, -6, -2, 4, 0, 18, 3, -26, -24, -24, -7, 0, 25, 32, 2, -14, -12, -49, 0, -18, 6, 24, 2, -44, 38, 0, -8, 18, 23, 7, 3, 40, 0, -24, -4, 27, 3, -18, -2, 0, -4, -34, 6, -18, 3, -6, 0, 0, -49, -6, 6, 0, 0, 0, 7, 10, -6, 0, 5, 18, 0, -22, -15, 6, -11, 6, 12, 0, -9, 14, -1, -40, -22, -3, 0, 22, 16, -9, -2, 14, -1, 0, -6, 62, -49, -16, 7, -30, 0, 18, 1, 7, -12, 9, -6, 0, -2, -4, 10, -51, -6, 46, 0, -24, 48, -14, -4, -23, 20, 0, -7, 6, 30, 12, 15, -6, 0, -24, -2, 28, -1, -8, -14, 0, 7, 30, -7, 24, -21, 0, 0, -8, -35, -8, -10, -6, 5, 0, -21, -30, 16, -42, -3, 56, 0, 3, -3, -57, 6, 16, 1, 0, 33, -48, 0, -6, 5, 4, 0, 6, 8, 28, -21, 24, 6, 0, 1, -7, -6, -28, -2, 24, 0, 44, -5, 6, 45, 45, -14, 0, -3, 42, 6, -12, -4, -9, 0, -16, 21, -60, 1, -35, 14, 0, 8, -3, 6, 47, 6, -12, 0, 1, 14, 56, -18, 9, 21, 0, -14, -8, 8, -30, -1, 30, 0, 12, 1, 30, 5, 21, -5, 0, 9, 6, 12, -20, -12, -36, 0, -4, -3, 42, 18, 18, 7, 0, 9, 48, 14, 12, -12, -17, 0, 15, -14, 1, -8, -3, -6, 0, 6, 38, -10, 3, 18, -4, 0, -14, 30, 22, -4, 0, 3, 0, -18, -14, 10, -16, 27, -50, 0, -39, -39, -6, -10, 30, 49, 0, -1, -51, -6, -18, -6, -14, 0, -2, 6, -28, 34, -8, 3, 0, -20, -52, -9, -7, 42, -48, 0, 23, 2, -15, 12, -6, 6, 0, -12, -36, -51, -33, 2, 3, 0, -14, 30, -8, 22, 40, -22, 0, 3, 12, -1, 62, -10, -4, 0, -42, -13, -11, -2, -8, 24, 0, 1, 6, -4, -10, 4, -24, 0, 38, -6, -33, -8, 6, 12, 0, 16, -9, 7, 30, -14, 28, 0, 5, 3, 9, -7, -59, -15, 0, 2, 18, 12, 12, 3, -44, 0, -36, -1, -70, -5, 42, 6, 0, 30, 12, 6, 0, -2, 27, 0, 27, -26, -6, 26, 42, -6, 0, 7, 18, -30, 75, 16, 1, 0, -12, 12, 4, -6, 28, 18, 0, 12, 10, 1, 9, -10, 7, 0, -48, -6, 40, -23, -4, 9, 0, -16, -70, -7, 6, 4, -6, 0, 15, 18, 36, 42, -6, -2, 0, -3, -18, 18, -14, 15, -68, 0, -16, -7, 18, -3, -2, 8, 0, 0, 42, -9, 5, -10, 21, 0, 63, -2, -21, 2, -13, 22, 0, -3, -56, 11, 30, 30, -3, 0, 50, -18, -12, 1, -60, -18, 0, 3, 0, 2, -42, 8, -11, 0, 24, -14, 24, 12, -21, 6, 0, 30, 45, 1, 32, -13, -41, 0, -2, -20, -62, -7, -44, -5, 0, -3, -18, -56, -14, 4, 54, 0, 15, 6, -8, -30, -21, -12, 0, 4, 5, 4, -12, 1, 32, 0, 21, -12, 8, -12, -29, -52, 0, 6, 2, -4, -16, 2, 14, 0, 48, -4, -59, 21, 6, -7, 0, -35, 8, -24, 16, 48, 12, 0, -5, 20, 6, 8, 5, 30, 0, -5, -6, 9, -63, 12, 34, 0, -12, 3, 72, -2, -44, -3, 0, -42, -6, 3, 7, -34, -24, 0, -48, 14, -18, 0, 25, 3, 0, 2, -18, 14, 24, -8, 15, 0, 32, -24, 6, 6, 7, 5, 0, 18, 38, 28, -18, -8, 30, 0, -46, 10, 42, 3, 10, 16, 0, 14, 10, 8, -25, -42, 3, 0, -12, -2, 28, 22, -10, 16, 0, 6, 2, -1, 3, 18, -48, 0, -6, 1, -49, -6, -3, 6, 0, 12, 0, 0, 3, 7, 37, 0, -6, -9, -24, -1, -62, 14, 0, 42, 48, -15, 26, 12, 22, 0, 5, 12, -12, -30, -9, 21, 0, 2, -22, -9, -22, -6, 30, 0, -8, 12, 40, -22, -63, -2, 0, -17, -1, -18, 60, 12, 0, 0, -49, -15, 27, 7, -2, -6, 0, 17, 42, 1, -4, 14, -12, 0, 4, -15, -21, 4, -2, -6, 0, 10, 28, -3, 12, 6, 0, 0, 21, 7, 48, -22, -42, 8, 0, -3, 20, -45, -9, -7, -23, 0, -6, -27, 2, 15, 28, 39, 0, 3, -63, 4, -70, 26, -1, 0, -42, -14, 1, 6, -14, -15, 0, -7, 6, -36, -21, -6, -6, 0, 7, 8, -35, -3, 26, -10, 0, -4, -10, 7, -60, -21, -18, 0, 16, 27, -84, 6, -36, 12, 0, -6, -33, -3, 18, 36, 15, 0, 42, 1, -36, -18, 33, 14, 0, 0, 36, -22, 5, -23, -3, 0, -10, 13, -16, 1, -30, -21, 0, 4, 6, -24, -24, 16, 18, 0, -6, 8, 30, -2, 40, -1, 0, -12, 18, -5, 28, 9, 45, 0, 21, 28, -4, 33, -3, -6, 0, 6, -12, 0, -10, 9, 9, 0, -10, 14, 21, 48, -60, -2, 0, 40, 14, 7, 22, 8, -26, 0, -12, 11, 22, 6, 31, -28, 0, 44, -60, 35, -28, 1, -18, 0, -84, 21, 3, 18, 28, -30, 0, 8, 50, 0, -1, 21, -14, 0, -40, -14, 1, 6, -48, 5, 0, 6, 1, 9, -36, 9, 40, 0, 12, -16, 0, 24, -7, 12, 0, 39, -3, -3, -14, 2, -36, 0, 4, 7, 54, -1, 9, 6, 0, 35, -16, -20, -12, 6, -3, 0, -9, 4, 28, 18, 12, -8, 0, -47, -6, -6, 30, -12, 98, 0, -10, 3, 6, 18, 56, 56, 0, 2, 12, 30, -19, 18, -4, 0, 45, -6, 22, -7, -18, 16, 0, 10, -24, 3, -54, 51, -42, 0, -12, -20, -39, 9, 8, 2, 0, -21, 49, -5, -12, -1, -14, 0, 12, 13, 6, -6, -10, 3, 0, -24, 23, -12, -3, -1, 34, 0, 36, 3, -35, 12, -50, -4, 0, -9, -10, 59, 42, 0, -18, 0, 14, -8, 2, -21, 84, 12, 0, -8, -12, -12, 69, -12, -24, 0, -51, 12, 48, 5, 61, -36, 0, 41, 28, 30, 0, 20, -44, 0, 42, -22, 18, 46, 3, 3, 0, 2, 2, 14, -10, 45, -42, 0, -42, -23, 35, 8, -11, -2, 0, 12, 24, -9, 16, -2, 44, 0, -4, -1, 21, 4, 4, -21, 0, 42, 81, -6, -11, -6, -8, 0, -36, 30, 12, 4, 16, 54, 0, 7, -79, -6, 28, 4, -9, 0, -9, -6, 3, 14, -24, 14, 0, -20, -15, -16, 78, 2, 88, 0, 30, -42, 30, 3, -30, 44, 0, -30, 36, 2, -79, 6, -5, 0, -6, 6, -7, 46, -60, 12, 0, 6, -14, 2, -2, -4, -9, 0, -10, -18, -26, -3, -27, 26, 0, 24, 12, 24, -24, 7, 19, 0, -30, -25, 17, -32, 7, -2, 0, 14, 30, 12, -34, 49, -15, 0, 18, 18, 7, -6, 12, -24, 0, -2, -3, 44, -10, -38, 63, 0, -13, 8, 12, -18, -22, -23, 0, -7, 9, -3, 5, -40, -36, 0, -7, 24, 24, 4, -36, -27, 0, -3, 21, 18, 39, 2, 42, 0, -33, 4, -32, 34, -3, -6, 0, 18, 11, -3, -3, 6, 0, 0, -44, 0, -7, 49, -3, 6, 0, -6, 8, 0, -12, 0, 8, 0, 18, -7, -24, -10, 19, 6, 0, 0, 7, -5, 38, -18, 2, 0, -60, 22, 1, 15, 6, -6, 0, 11, 71, -6, 30, -12, -21, 0, 36, 9, -18, -14, -69, 1, 0, 40, -45, 22, 14, 3, -18, 0, 2, -22, 45, -16, -112, 9, 0, 2, 90, -14, -36, 1, -24, 0, 12, 6, 4, -62, 30, 49, 0, 16, 6, -7, -13, 30, 8, 0, -82, -18, 40, -1, 84, -7, 0, 12, -5, -9, -36, 6, -70, 0, -56, 2, -14, 4, 33, -10, 0, 51, -45, 6, 0, -46, -30, 0, 9, 24, 43, -48, 4, 14, 0, 4, -16, 23, -2, -20, -42, 0, -56, 7, -12, -6, 24, -30, 0, -12, -52, -15, 21, 6, 18, 0, 8, 24, 44, 2, 18, -28, 0, 1, -6, 8, 65, 14, 21, 0, -84, -7, -46, -30, 7, 7, 0, -24, 0, 21, 48, 0, -14, 0, 92, 8, 20, 35, 6, 8, 0, 10, -60, 6, -84, -5, -45, 0, 9, 21, 48, 30, -20, -16, 0, 42, 24, 3, 12, -56, 4, 0, -33, -3, 22, 3, -42, 57, 0, -6, -46, -16, -34, -1, 0, 0, 27, -33, 35, 48, -6, 0, 0, 6, 3, -5, 42, -4, 4, 0, 14, -6, -60, -8, 27, -28, 0, 21, -6, -24, 22, -6, 6, 0, -6, -1, 85, 7, 18, 6, 0, 28, -72, 2, 16, -24, 84, 0, 18, -44, 10, 5, 72, -6, 0, -45, 16, -45, 16, 14, -89, 0, 20, 3, 36, -42, 8, -6, 0, 12, -21, 4, 6, 9, 22, 0, 90, 16, -21, -21, -12, 60, 0, -1, 28, 35, 18, -14, 13, 0, -52, -8, 1, 3, 22, -6, 0, -47, -12, -6, 45, 12, 40, 0, 0, -1, 84, -14, 12, -56, 0, 18, -21, -9, 80, -21, -16, 0, 0, 14, 49, 8, 42, -8, 0, 30, -88, 1, 12, -30, -42, 0, -43, -12, -24, -1, -51, -30, 0, -5, 21, -21, 24, 5, 14, 0, -9, -9, 41, -6, -8, -12, 0, 20, 48, 12, -10, 36, -22, 0, -14, 4, 70, 3, -17, -42, 0, -18, 14, -18, 30, -7, 9, 0, -46, -9, -15, -48, 8, -14, 0, -12, -6, 12, 63, 17, -10, 0, -2, -15, -48, 14, -41, -1, 0, 8, 102, 3, -21, 6, 4, 0, -63, -6, 30, -38, -20, 10, 0, -3, 68, -18, 6, 4, -15, 0, -36, 14, 7, -30, -84, -22, 0, 4, 20, 0, -6, -3, -6, 0, -45, 18, 66, 14, -74, -10, 0, 16, -16, -27, 35, 50, -30, 0, -30, 39, -47, 39, 3, 6, 0, 10, -44, -30, 26, -49, -12, 0, 6, 1, 28, 51, 54, 6, 0, 18, -15, 6, 12, 14, -6, 0, -36, 2, 105, -6, 82, 28, 0, -34, 96, 8, 63, -3, -3, 0, -36, 20, 24, 52, -4, 9, 0, 7, 92, -42, 42, 48, -25, 0, -46, -23, 27, -2, 12, 15, 0, -12, 12, 6, -6, -6, 14, 0, 6, 12, 27, 36, -6, 51, 0, 33, 0, -2, 64, -3, -18, 0, -38, 14, 28, -30, 0, 8, 0, -22, -9, -40, -23, 22, 42, 0, 28, -3, 13, -12, -57, 1, 0, -62, 42, 10, 72, 4, -18, 0, -24, 42, -3, 13, 4, 11, 0, 2, 96, 8, 70, -24, 4, 0, 96, -1, -18, -6, -12, 4, 0, 10, -3, -4, 9, 24, -33, 0, 54, -38, 70, 6, 49, 33, 0, 8, -6, -6, -36, -12, 34, 0, 0, -16, -99, 9, 12, -7, 0, -30, 99, 14, 6, -28, 48, 0, 36, -5, -104, -3, 40, -9, 0, 7, 28, 59, -16, 15, -20, 0, 49, -2, 11, -18, -12, -12, 0, -12, -28, -3, 12, 44, 9, 0, -7, 36, -30, 1], "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": "110.2.a.a", "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], [1], [1], [0], [-1], [-2], [-1], [1], [-1], [-2], [0], [-1], [1], [-3], [2], [7], [1], [0], [-1], [-6], [1], [1], [2], [5], [0], [-3], [1], [7], [-1], [-1], [3], [0], [-2], [-7], [-7], [2], [-1], [-6], [0], [8], [1], [-2], [6], [-6], [-1], [0], [-1], [3], [-2], [-3], [-5], [1], [0], [-7], [3], [6], [-1], [1], [-7], [0], [1], [-2], [1], [8], [-3], [6], [0], [3], [2], [-2], [7], [-1], [7], [0], [-2], [-10], [1], [1], [6], [6], [0], [-3], [-8], [3], [-1], [-9], [2], [0], [-6], [-7], [6], [7], [1], [4], [0], [-2], [1]]}