# Stored data for newform 5915.2.a.f, downloaded from the LMFDB on 23 April 2024.
{"label": "5915.2.a.f", "space_label": "5915.2.a", "level": 5915, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170412827, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1454599997451938380, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [0, 1]], [3, [-1, 1]]], "qexp_display": "q+q^{3}-2q^{4}+q^{5}-q^{7}-2q^{9}+3q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 23660, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 47.23151279558735, "hecke_ring_index": 1, "level_radical": 455, "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": [5915, 1, [2367, 5071, 1016], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [5, 7, 13], "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": "0.988", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.962", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.916", "prec": 17}], "related_objects": ["EllipticCurve/Q/5915/f"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, -1], [7, 1], [13, 1]], "trace_display": [0, 1, 1, -1], "traces": [0, 1, 0, 1, -2, 1, 0, -1, 0, -2, 0, 3, -2, 0, 0, 1, 4, 3, 0, -2, -2, -1, 0, -6, 0, 1, 0, -5, 2, 3, 0, 4, 0, 3, 0, -1, 4, -2, 0, 0, 0, 12, 0, -10, -6, -2, 0, -9, 4, 1, 0, 3, 0, 12, 0, 3, 0, -2, 0, 0, -2, 8, 0, 2, -8, 0, 0, 4, -6, -6, 0, 0, 0, -2, 0, 1, 4, -3, 0, -1, 4, 1, 0, -12, 2, 3, 0, 3, 0, 12, 0, 0, 12, 4, 0, -2, 0, 1, 0, -6, -2, 6, 0, 5, 0, -1, 0, 6, 10, 7, 0, -2, -4, 6, 0, -6, -6, 0, 0, -3, 0, -2, 0, 12, -8, 1, 0, -16, 0, -10, 0, -6, -6, 2, 0, -5, 0, 12, 0, 14, 2, -9, 0, 0, -8, 3, 0, 1, 4, 6, 0, 1, 0, -6, 0, 4, 0, 14, 0, 12, 0, 6, 0, -2, -24, 3, 0, 3, 0, 0, 0, 4, 20, -9, 0, -1, 12, 0, 0, 12, 4, 20, 0, 8, 0, -2, 0, 9, 18, 5, 0, 9, -8, 4, 0, 0, -2, 0, 0, -16, 0, 4, 0, -3, -6, 12, 0, 12, 0, -6, 0, -13, -24, 0, 0, -10, 0, -4, 0, -2, -6, 0, 0, 19, 0, -2, 0, 3, 4, 4, 0, -3, 0, 24, 0, -9, 0, -1, 0, 21, 4, 10, 0, 16, -16, 1, 0, 0, 0, -12, 0, 18, -4, -18, 0, 3, 16, 30, 0, 2, 0, -6, 0, 6, 0, 12, 0, 12, -8, -6, 0, 16, 12, 0, 0, 3, 12, -10, 0, -8, 0, -3, 0, -13, 0, -2, 0, -12, 0, -8, 0, 1, 4, 21, 0, 0, 0, -15, 0, 0, -2, 10, 0, 6, -8, 8, 0, -11, 6, 5, 0, 18, 0, -19, 0, 2, 2, 18, 0, 9, -8, 6, 0, -6, -2, 0, 0, 7, 0, 9, 0, 28, 24, 4, 0, 4, -4, 14, 0, 6, -6, 12, 0, -1, 0, -6, 0, -18, -6, -26, 0, 0, 0, -15, 0, 0, -24, -3, 0, -24, 0, -15, 0, -2, 0, -2, 0, 17, -24, -24, 0, -12, -8, -4, 0, 1, 0, 0, 0, -20, 4, -16, 0, -12, 0, -3, 0, 20, -2, -3, 0, -18, 0, -6, 0, -1, 12, 25, 0, 2, 4, 15, 0, 0, -12, 1, 0, -6, 0, -14, 0, 12, -10, 0, 0, -12, 0, 14, 0, -12, 2, -17, 0, 18, 0, 3, 0, -8, -12, 0, 0, -21, -20, 2, 0, 3, -14, 12, 0, 26, 0, -2, 0, -18, 4, 12, 0, 6, 8, 9, 0, 36, -12, 1, 0, 0, 0, -8, 0, -15, 12, 24, 0, -32, 12, 4, 0, 15, 0, -4, 0, 14, 0, -30, 0, -2, 6, -24, 0, 30, 0, 0, 0, 6, 4, 1, 0, -38, 0, -2, 0, 15, -24, 9, 0, -6, 16, 0, 0, 31, -2, 3, 0, 27, 0, 6, 0, 0, 32, 6, 0, 2, 0, 10, 0, 5, 20, -27, 0, -9, 0, -42, 0, 20, 12, -1, 0, 12, 12, 13, 0, 0, -4, 0, 0, 6, 0, 12, 0, 3, 10, -11, 0, 20, 0, 7, 0, 8, -24, -16, 0, -6, 0, 1, 0, -2, -28, 24, 0, 0, -4, 9, 0, 36, 18, 6, 0, -1, 0, 18, 0, -4, 0, 9, 0, -6, 16, 7, 0, 4, -6, 12, 0, 36, 0, 0, 0, 24, -2, -8, 0, 0, -8, 39, 0, -3, -12, -16, 0, 45, 0, -10, 0, -8, -2, -2, 0, -13, 0, -3, 0, 0, 12, -2, 0, 12, 0, -42, 0, -26, -8, 30, 0, -12, 0, 1, 0, -6, -28, -6, 0, -29, 0, -13, 0, -16, -24, 0, 0, 0, 0, -30, 0, -41, -12, -10, 0, -24, 0, 0, 0, -4, 4, -6, 0, -6, 48, 4, 0, -15, -6, -32, 0, 0, 0, 2, 0, -18, -6, 19, 0, 24, 0, -28, 0, -5, 0, 45, 0, -1, 0, 3, 0, 24, -8, 12, 0, 4, -40, 0, 0, 28, 18, 6, 0, 14, 0, 36, 0, 24, 2, -9, 0, 4, -24, -9, 0, -6, 0, -35, 0, 2, 0, -24, 0, 0, -24, 21, 0, -30, -8, -5, 0, 10, -40, 3, 0, 8, 0, 13, 0, -30, -16, 31, 0, 1, 0, 12, 0, 43, 4, 0, 0, 12, 0, 6, 0, 24, -18, -6, 0, 23, -36, 18, 0, 1, -10, -16, 0, -18, 0, -30, 0, -7, -18, -6, 0, 0, 16, -14, 0, 30, -8, -21, 0, 4, 0, 2, 0, -24, 0, 0, 0, -15, 4, 14, 0, -5, 0, 6, 0, -6, 0, 0, 0, 12, 32, 15, 0, -27, 0, -24, 0, -6, -8, 6, 0, -6, 0, -15, 0, -2, 6, 16, 0, -2, 12, 20, 0, 0, -24, 27, 0, -4, 0, 3, 0, -54, -24, -52, 0, -10, 0, 3, 0, 3, 12, -20, 0, 42, 0, -20, 0, -3, 26, 0, 0, 2, 48, -13, 0, 12, 0, 10, 0, 4, 0, -30, 0, -4, 20, -12, 0, -24, 0, -9, 0, -8, 8, -3, 0, 0, 0, -2, 0, -1, 4, -50, 0, 21, 12, 0, 0, 20, 0, 0, 0, -24, 0, 16, 0, 3, -38, 18, 0, 12, 0, 0, 0, 12, 4, 36, 0, 10, 0, 20, 0, 26, -6, -12, 0, -24, -8, -36, 0, 8, -8, 6, 0, 11, 0, -11, 0, 0, 6, -2, 0, -10, 0, -36, 0, -2, -48, 18, 0, 9, 0, 47, 0, -19, 18, 0, 0, -72, 0, 5, 0, 0, 2, 0, 0, 18, 0, 0, 0, 9, -42, 9, 0, -12, -8, -15, 0, -12, -20, 4, 0, 22, 0, -6, 0, -48, -32, -14, 0, 0, 32, -54, 0, 36, -2, -14, 0, 21, 0, 0, 0, 9, 0, 60, 0, 56, 0, 28, 0, -16, 24, -37, 0, 10, 0, 0, 0, 0, -36, 4, 0, -24, 8, 43, 0, 14, 36, -6, 0, -3, 0, -12, 0, -24, -6, -50, 0, 12, -32, 12, 0, 0, -60, -1, 0, -15, 0, 46, 0, 12, -4, 24, 0, 50, 0, -18, 0, -6, 12, -6, 0, -26, 0, -12, 0, 55, -12, 0, 0, -13, 0, -1, 0, -15, -24, 51, 0, -52, 0, 0, 0, 3, -24, 8, 0, 6, 16, -6, 0, -10, 12, -24, 0, 0, 0, 54, 0, -15, -32, -4, 0, 28, -24, 4, 0, 12, 0, 14, 0, -2, 0, -6, 0, -14, -6, 17, 0, 36, -24, 0, 0, -60, 20, 42, 0, 18, 0, -12, 0, 19, 16, -16, 0, -4, 0, 0, 0, -17, 6, -2, 0, -6, 0, 31, 0, 0, 26, 15, 0, 3, 0, -20, 0, 12, 4, 2, 0, 32, 0, 4, 0, -8, 24, -12, 0, -48, 0, 2, 0, -3, 16, 0, 0, -16, 0, 50, 0, -30, -2, 24, 0, -3, -8, -3, 0, -25, -42, -18, 0, -9, 0, 18, 0, 12, 0, 0, 0, 0, 0, -1, 0, -60, 30, 36, 0, 25, 0, 9, 0, 21, 0, -4, 0, 21, 4, 49, 0, 15, -20, 10, 0, 0, 0, 0, 0, 9, -12, 44, 0, 16, 16, -3, 0, -72, -16, -6, 0, -3, 0, 1, 0, -14, 22, 18, 0, 26, -12, -24, 0, 0, -10, -50, 0, 0, 0, -6, 0, 18, -36, -12, 0, -30, 0, -46, 0, -28, 38, -12, 0, 18, 0, -12, 0, -54, -4, 0, 0, -17, -4, -18, 0, -20, -36, 45, 0, 48, 0, -8, 0, 3, -18, 3, 0, -2, 16, -8, 0, -60, -12, 30, 0, 0, 0, 42, 0, 32, 12, -21, 0, 2, 4, -52, 0, 2, 0, -30, 0, -28, 0, -6, 0, 27, -14, -9, 0, 12, 0, 0, 0, 6, -18, 26, 0, -18, 0, 28, 0, -5, -56, 12, 0, 50, -48, -18, 0, -39, -8, -40, 0, 12, 0, -9, 0, 0, -8, -12, 0, -3, 8, -6, 0, 9, -28, 0, 0, -4, 0, 36, 0, 16, -12, 0, 0, -2, 12, 60, 0, -27, -24, 0, 0, -42, 0, -33, 0, -8, 2, -6, 0, 3, 0, 3, 0, 0, 12, -22, 0, 24, 0, -10, 0, 4, 36, -32, 0, 0, 12, 16, 0, -8, 52, -48, 0, 22, 0, 15, 0, -48, 0, -3, 0, -4, 0, 51, 0, -36, 30, -28, 0, -13, 0, 0, 0, -30, 0, 3, 0, -2, 48, -2, 0, -75, 6, -10, 0, -60, 0, -9, 0, -12, 48, 30, 0, -51, 0, -18, 0, 0, 30, -8, 0, -19, 0, -12, 0, -36, 4, 68, 0, 1, 0, -36, 0, 38, 4, -38, 0, 6, 0, 21, 0, 4, -34, 0, 0, 40, 48, 15, 0, 0, 48, 13, 0, 9, 0, 9, 0, -19, 24, -15, 0, 3, 16, -32, 0, 0, 8, 48, 0, 0, 0, 31, 0, 15, -2, 2, 0, -6, 0, 10, 0, 36, 0, 27, 0, -54, 0, 36, 0, 6, 40, -24, 0, 4, -8, 0, 0, -24, 32, 8, 0, 6, 0, 42, 0, 56, 24, 2, 0, -11, 0, 36, 0, -2, 6, -24, 0, -31, 0, 5, 0, 0, -40, -38, 0, -27, 4, -33, 0, 18, 6, 18, 0, 54, 0, -19, 0, -42, 36, -19, 0, -56, 0, 20, 0, -18, 12, 0, 0, 2, 0, 24, 0, -59, 2, 12, 0, -18, -24, 18, 0, 13, -50, -3, 0, 20, 0, 0, 0, 9, -4, -50, 0, 0, -8, -42, 0, -4, -30, 6, 0, 36, 0, 8, 0, -24, 0, 6, 0, -6, 24, 3, 0, 39, -2, 38, 0, -11, 0, 0, 0, 28, 12, -40, 0, -24, 0, 0, 0, 7, 28, -27, 0, 18, 0, 8, 0, 48, -24, 9, 0, -40, 20, 3, 0, 0, 0, -6, 0, 28, 0, 7, 0, 1, 24, 3, 0, -10, 0, 4, 0, -78, -28, 4, 0, 24, 0, -21, 0, 4, 24, 0, 0, 12, -4, 103, 0, -18, 34, 14, 0, -10, 0, 36, 0, -24, -36, -7, 0, 6, 0, -18, 0, -46, -6, -16, 0, 0, 0, 12, 0, 18, 16, 27, 0, 0, 24, -4, 0, -1, 0, 18, 0, -18, 0, 6, 0, 4, 42, -6, 0, 42, 40, 0, 0, 7, -4, 18, 0, -18, 0, -8, 0, 18, -6, -40, 0, 12, 28, -26, 0, 52, -24, 36, 0, 15, 0, -71, 0, 0, -52, -18, 0, -4, 0, 24, 0, -120, 4, -15, 0, -8, 0, 24, 0, 18, 36, 0, 0, 0, -8, -58, 0, 39, -24, 0, 0, 7, 0, -3, 0, -12, -12, 46, 0, 32, -16, -6, 0, -24, -18, 45, 0, -30, 0, -65, 0, -10, -72, -15, 0, 0, 24, -20, 0, 18, -2, -2, 0, -2, 0, 6, 0, 18, 0, -13, 0, -27, 0, -2, 0, 6, 16, 0, 0, 49, 0, 0, 0, 17, 30, 9, 0, -2, -24, -6, 0, -2, -48, -24, 0, 48, 0, 57, 0, -42, 64, 21, 0, -12, -24, -26, 0, 0, -8, 10, 0, -6, 0, -4, 0, -77, -30, -12, 0, 69, 0, 38, 0, 1, 8, -42, 0, 28, 0, 12, 0, 6, -28, 0, 0, -6, 0, -36, 0, 32, 60, -29, 0, -20, 0, -16, 0, 26, 4, -75, 0, -27, -12, -16, 0, 39, 48, 72, 0, 0, 0, 24, 0, -12, -60, 0, 0, -12, 0, 18, 0, -30, 0, -3, 0, -108, 0, -41, 0, 12, -12, 26, 0, 20, -8, 0, 0, 10, -2, -24, 0, 12, 0, -3, 0, 0, 76, 0, 0, 26, 0, 8, 0, -18, 4, -10, 0, -6, 0, -24, 0, 0, -30, -6, 0, 3, 48, 36, 0, 10, -18, 21, 0, -1, 0, -15, 0, 60, 12, 13, 0, -32, -32, 25, 0, 55, 0, 0, 0, 60, 0, -85, 0, 2, -62, -78, 0, 65, 4, -18, 0, -48, -6, 15, 0, -38, 0, 12, 0, 23, -54, 24, 0, 0, 0, -2, 0, -28, -12, 90, 0, 8, 0, 1, 0, 6, 0, 32, 0, 45, -64, -12, 0, -6, -12, -1, 0, -48, 0, 0, 0, -6, -4, -14, 0, -72, 0, 24, 0, -21, -20, -16, 0, 12, 0, -6, 0, 0, -10, -8, 0, 72, -40, 0, 0, 0, 54, -39, 0, -14, 0, 28, 0, -12, 18, 16, 0, 15, 0, -18, 0, 86, 84, 14, 0, 90, 0, 20, 0, 36, -40, 0, 0, -12, -24, -48, 0, -66, 2, 27, 0, -9, 0, -17, 0, -10, -24, 4, 0, 27, -24, 37, 0, 18, -26, -6, 0, 0, 0, -6, 0, 12, 0, 3, 0, -35, 8, 69, 0, -82, 0, 5, 0, -8, 0, -32, 0, -24, -12, -54, 0, -20, 0, 0, 0, -12, -24, 11, 0, -42, 0, 66, 0, -21, -6, -30, 0, -48, -20, 20, 0, -5, 22, 2, 0, 0, 0, -20, 0, 0, -40, 144, 0, 3, 0, -18, 0, 25, -14, 8, 0, 0, 0, 12, 0, -35, -16, -48, 0, 19, 48, -30, 0, 26, 32, 0, 0, 31, 0, 0, 0, -44, 12, -2, 0, 72, 0, 34, 0, 12, -2, -36, 0, -18, 0, 43, 0, -18, 4, 10, 0, 0, 56, 12, 0, -18, -48, 12, 0, -6, 0, -9, 0, 6, 0, 36, 0, -82, 8, 60, 0, 21, -18, 9, 0, -6, 0, 0, 0, -20, -72, 23, 0, 36, -36, -16, 0, -36, -12, 6, 0, -8, 0, 1, 0, 63, 2, -65, 0, -16, 0, -66, 0, 0, -36, 36, 0, -120, 0, -14, 0, -30, 8, -8, 0, -7, 0, -7, 0, -3, -18, -26, 0, -15, 0, 48, 0, 4, 12, 0, 0, -9, -32, 24, 0, -14, -14, -42, 0, 17, 0, -60, 0, -32, -8, -28, 0, -21, 12, -39, 0, -36, -24, 4, 0, 0, 0, 36, 0, -4, -72, 18, 0, 15, 0, -24, 0, 36, 0, 38, 0, 0, 0, -4, 0, -44, -48, 3, 0, -66, 4, 0, 0, 14, 16, -57, 0, -14, 0, -5, 0, 42, 0, -30, 0, -12, 16, -30, 0, -32, -78, -6, 0, -2, 0, 16, 0, 0, 6, 3, 0, 89, 24, -24, 0, -12, 32, 5, 0, 15, 0, -18, 0, 30, -90, -27, 0, 42, 0, 1, 0, -60, 20, 0, 0, -36, 0, -6, 0, 42, 16, 32, 0, 6, 4, -6, 0, 0, 4, 12, 0, 6, 0, 1, 0, -15, 26, 18, 0, 0, 0, -2, 0, -38, 6, 64, 0, -32, 0, 0, 0, 26, 0, -2, 0, 48, -24, -4, 0, 20, 4, 57, 0, 15, 0, 0, 0, 63, -24, -36, 0, 27, 0, 9, 0, -52, 84, -4, 0, 15, 0, 98, 0, -6, 52, -39, 0, -8, 16, -54, 0, 0, -60, 0, 0, -52, 0, 12, 0, -108, 24, 20, 0, 31, 0, 9, 0, 3, -2, 96, 0, 70, 0, 3, 0, -42, 12, 0, 0, 4, 56, 24, 0, 27, 12, 42, 0, 12, 0, 29, 0, -20, 58, 6, 0, 15, 0, 6, 0, 33, 26, 18, 0, 0, 0, 0, 0, -16, 32, 2, 0, -48, 48, 6, 0, 26, 0, 39, 0, 86, 0, 12, 0, 2, 0, 2, 0, 10, 0, 0, 0, 72, 60, 10, 0, 3, 0, -17, 0, -30, 82, -48, 0, 5, 24, -4, 0, 72, 20, 36, 0, 24, 0, -27, 0, 0, 48, -24, 0, 9, 0, 79, 0, -9, 0, 12, 0, -36, 0, 16, 0, -24, 8, -42, 0, -3, -8, 6, 0, 4, 12, 0, 0, 20, 0, 53, 0, -5, 12, -6, 0, -80, -96, -1, 0, 0, -8, 63, 0, -50, 0, -78, 0, 12, 30, -42, 0, 0, 12, -28, 0, 0, 64, 13, 0, 52, 0, 20, 0, 30, 0, 20, 0, 0, 0, 66, 0, 40, -4, -24, 0, -21, 0, 0, 0, 16, 36, 42, 0, 19, 12, 48, 0, 6, -38, 77, 0, 18, 0, 12, 0, -20, -48, 12, 0, 15, 0, 55, 0, 0, 56, -27, 0, 3, 0, 12, 0, -75, 10, 4, 0, 36, 0, -11, 0, 44, -90, -20, 0, 27, 0, -40, 0, 20, 2, 0, 0, -20, 0, 26, 0, 3, -6, 7, 0, -30, 0, -24, 0, -67, -48, -24, 0, 8, 16, 18, 0, -36, -24, -18, 0, 0, 0, -16, 0, 48, -8, 4, 0, 6, 80, -84, 0, -6, 0, 11, 0, 48, 0, 54, 0, 22, -56, 1, 0, 94, -36, 0, 0, -6, -12, 0, 0, -2, 0, 33, 0, -25, -28, -25, 0, 12, 0, 24, 0, -36, -72, -12, 0, -70, 0, -2, 0, 0, -48, -26, 0, -36, -4, 33, 0, 76, 18, 9, 0, -15, 0, 91, 0, 47, -8, 3, 0, 36, 48, 38, 0, 36, 18, 0, 0, 0, 0, 6, 0, 90, 12, -72, 0, -12, 0, 71, 0, -1, 70, -18, 0, 9, 0, 0, 0, -18, -4, 18, 0, 0, 0, 6, 0, -28, 48, -36, 0, -4, 0, -58, 0, 0, 0, 24, 0, 14, 48, 9, 0, -72, -42, -2, 0, -18, 0, 0, 0, -6, 60, -12, 0, 75, 16, -40, 0, -15, 10, 7, 0, -28, 0, -30, 0, 0, -20, 18, 0, 4, 80, 54, 0, 0, -6, 22, 0, -51, 0, 12, 0, 12, -16, 33, 0, 0, 0, -48, 0, 36, -26, -38, 0, -14, 0, 96, 0, 2, 60, 0, 0, 78, 32, 18, 0, -54, -62, 12, 0, 24, 0, 36, 0, -12, -2, -27, 0, -35, 0, -8, 0, 17, -24, 21, 0, 0, 0, 43, 0, 0, -86, 9, 0, -18, -8, -18, 0, 72, 0, 39, 0, 60, 0, 54, 0, 16, -24, 56, 0, -3, 0, 0, 0, -56, -12, 48, 0, -28, 0, -16, 0, 15, -48, 8, 0, -37, 36, -24, 0, 45, 12, -2, 0, -48, 0], "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": "35.2.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], [0], [1], [-2], [1], [0], [-1], [0], [-2], [0], [3], [-2], [0], [0], [1], [4], [3], [0], [-2], [-2], [-1], [0], [-6], [0], [1], [0], [-5], [2], [3], [0], [4], [0], [3], [0], [-1], [4], [-2], [0], [0], [0], [12], [0], [-10], [-6], [-2], [0], [-9], [4], [1], [0], [3], [0], [12], [0], [3], [0], [-2], [0], [0], [-2], [8], [0], [2], [-8], [0], [0], [4], [-6], [-6], [0], [0], [0], [-2], [0], [1], [4], [-3], [0], [-1], [4], [1], [0], [-12], [2], [3], [0], [3], [0], [12], [0], [0], [12], [4], [0], [-2], [0], [1], [0], [-6], [-2]]}