# Stored data for newform 2646.2.a.m, downloaded from the LMFDB on 09 May 2024.
{"label": "2646.2.a.m", "space_label": "2646.2.a", "level": 2646, "weight": 2, "hecke_orbit": 13, "hecke_orbit_code": 54043195562003030, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1021270674834564706, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-3, 1]], [11, [0, 1]], [13, [-4, 1]], [17, [-6, 1]]], "qexp_display": "q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}+4q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10584, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 21.12841637483079, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [2646, 1, [785, 1081], [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": "0.034", "prec": 17}, {"__RealLiteral__": 0, "data": "0.994", "prec": 17}, {"__RealLiteral__": 0, "data": "0.038", "prec": 17}, {"__RealLiteral__": 0, "data": "2.010", "prec": 17}, {"__RealLiteral__": 0, "data": "0.103", "prec": 17}, {"__RealLiteral__": 0, "data": "5.132", "prec": 17}], "related_objects": ["EllipticCurve/Q/2646/m"], "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, 0, 3, 0], "traces": [0, 1, -1, 0, 1, 3, 0, 0, -1, 0, -3, 0, 0, 4, 0, 0, 1, 6, 0, 4, 3, 0, 0, -6, 0, 4, -4, 0, 0, 3, 0, -8, -1, 0, -6, 0, 0, 8, -4, 0, -3, -6, 0, 8, 0, 0, 6, 6, 0, 0, -4, 0, 4, -9, 0, 0, 0, 0, -3, -3, 0, 10, 8, 0, 1, 12, 0, -10, 6, 0, 0, -6, 0, 7, -8, 0, 4, 0, 0, 17, 3, 0, 6, -12, 0, 18, -8, 0, 0, 6, 0, 0, -6, 0, -6, 12, 0, 10, 0, 0, 4, -15, 0, -8, -4, 0, 9, 3, 0, -4, 0, 0, 0, 6, 0, -18, 3, 0, 3, 0, 0, -11, -10, 0, -8, -3, 0, 5, -1, 0, -12, -12, 0, 0, 10, 0, -6, -12, 0, -2, 0, 0, 6, 0, 0, 9, -7, 0, 8, 21, 0, 8, -4, 0, 0, -24, 0, -14, -17, 0, -3, 0, 0, 2, -6, 0, 12, 6, 0, 3, -18, 0, 8, -9, 0, 0, 0, 0, -6, 15, 0, 10, 0, 0, 6, 24, 0, 0, 6, 0, -12, 18, 0, 26, -10, 0, 0, 15, 0, -11, -4, 0, 15, 0, 0, -18, 8, 0, 4, 0, 0, -4, -9, 0, -3, 24, 0, 0, 4, 0, 0, 24, 0, 1, 0, 0, -6, 3, 0, -14, 18, 0, -3, -18, 0, 18, -3, 0, 0, 0, 0, 1, 11, 0, 10, 0, 0, 16, 8, 0, 3, 9, 0, 0, -5, 0, 1, 0, 0, 0, 12, 0, 12, 18, 0, -27, 0, 0, -10, 21, 0, 25, 6, 0, 12, 0, 0, -28, 2, 0, 0, 18, 0, 4, -6, 0, 0, 0, 0, 19, -9, 0, 7, -3, 0, -9, -8, 0, -21, -24, 0, 0, -8, 0, 4, 30, 0, -8, 0, 0, 24, 12, 0, -5, 14, 0, 17, 18, 0, 0, 3, 0, 0, 24, 0, 16, -2, 0, 6, 0, 0, 2, -12, 0, -6, -30, 0, -7, -3, 0, 18, 0, 0, 0, -8, 0, 9, -33, 0, 10, 0, 0, 0, -30, 0, -18, 6, 0, -15, -36, 0, -3, -10, 0, 0, 21, 0, 19, -6, 0, -24, 0, 0, -10, 0, 0, -6, 12, 0, -10, 12, 0, -18, 6, 0, 0, -26, 0, 10, 9, 0, -36, 0, 0, -15, 51, 0, -32, 11, 0, 4, 18, 0, -32, -15, 0, 0, 0, 0, 25, 18, 0, -8, 0, 0, -36, -4, 0, 0, 12, 0, 32, 4, 0, 9, 24, 0, 0, 3, 0, -24, -12, 0, 7, 0, 0, -4, -24, 0, -8, 0, 0, -24, 39, 0, 18, -1, 0, 0, -6, 0, 0, 6, 0, -3, 0, 0, -1, 14, 0, -18, -33, 0, -19, 3, 0, 18, -33, 0, 0, -18, 0, 3, 0, 0, 16, 0, 0, 0, -24, 0, 32, -1, 0, -11, 30, 0, -13, -10, 0, 0, -27, 0, 18, -16, 0, -8, 0, 0, 2, -3, 0, -9, -24, 0, -45, 0, 0, 5, 18, 0, 0, -1, 0, 0, -24, 0, 0, 0, 0, -12, -30, 0, 4, -12, 0, -18, -48, 0, 13, 27, 0, 0, -24, 0, 9, 10, 0, -21, 0, 0, -10, -25, 0, -6, -12, 0, -28, -12, 0, 0, 12, 0, 0, 28, 0, -2, 6, 0, 32, 0, 0, -18, 15, 0, 18, -4, 0, 6, -18, 0, 20, 0, 0, 0, -24, 0, -23, -19, 0, 9, 0, 0, 0, -7, 0, 3, -15, 0, -32, 9, 0, 8, 6, 0, 0, 21, 0, 24, 0, 0, 25, 0, 0, 8, -33, 0, -11, -4, 0, -30, 24, 0, -16, 8, 0, 0, 18, 0, 16, -24, 0, -12, 0, 0, -29, 5, 0, -14, 48, 0, 20, -17, 0, -18, 15, 0, 0, 0, 0, -3, -24, 0, 16, 0, 0, -24, 42, 0, 0, -16, 0, 2, -3, 0, -36, -6, 0, 0, -21, 0, -32, -2, 0, 12, 0, 0, -18, 6, 0, 30, 0, 0, -43, 7, 0, 3, -21, 0, 0, -18, 0, 0, 9, 0, -36, 0, 0, 8, -36, 0, -8, -9, 0, 33, -6, 0, -36, -10, 0, 0, 39, 0, 32, 0, 0, 30, 0, 0, 8, 18, 0, -6, 48, 0, 0, 15, 0, 36, -24, 0, 0, 3, 0, 10, 12, 0, -23, 0, 0, -21, 48, 0, -44, -19, 0, 6, 0, 0, 14, 24, 0, 0, -24, 0, 63, 10, 0, 0, 0, 0, -43, 6, 0, -12, 24, 0, 2, 10, 0, -12, 48, 0, 0, 18, 0, -6, -12, 0, -26, 0, 0, 26, -18, 0, -32, -10, 0, -9, -24, 0, 0, 36, 0, 0, -42, 0, 22, 15, 0, -51, 0, 0, 40, 32, 0, -11, 18, 0, 36, -4, 0, -18, 0, 0, 0, 32, 0, 15, -24, 0, -20, 0, 0, 0, 6, 0, 32, -25, 0, -18, -21, 0, 23, 8, 0, 0, -21, 0, -32, 36, 0, 4, 0, 0, 18, 0, 0, -12, -24, 0, -20, -32, 0, -4, 9, 0, 0, -9, 0, -24, -48, 0, -44, 0, 0, -3, 0, 0, -14, 24, 0, 12, -42, 0, -27, -7, 0, 0, 0, 0, -40, 4, 0, 24, 0, 0, 14, 8, 0, 0, 6, 0, 32, 24, 0, -39, -42, 0, 0, -18, 0, 1, 24, 0, 45, 0, 0, 6, -24, 0, -54, 0, 0, -6, 30, 0, 8, 3, 0, 0, 54, 0, 0, 1, 0, -14, 0, 0, -37, 18, 0, 33, -24, 0, 32, 19, 0, -3, 6, 0, 0, -18, 0, 33, 0, 0, 1, 0, 0, 18, 18, 0, 36, -3, 0, 0, -45, 0, 28, -16, 0, 0, 48, 0, 54, 0, 0, 24, 0, 0, 33, -32, 0, 1, 78, 0, -37, 11, 0, -30, -3, 0, 0, 13, 0, 10, -12, 0, 0, 0, 0, 27, -24, 0, 45, -18, 0, 16, -48, 0, 23, 8, 0, 0, -33, 0, -32, -2, 0, 3, 0, 0, -18, 9, 0, 24, -36, 0, 23, 45, 0, 0, -33, 0, 0, -5, 0, -18, -12, 0, -14, 0, 0, 1, -24, 0, 68, 0, 0, 24, 6, 0, 41, 0, 0, 0, 60, 0, 31, 12, 0, 30, 0, 0, 0, -4, 0, 12, -24, 0, -16, 18, 0, 48, -12, 0, 0, -13, 0, -27, 54, 0, 7, 0, 0, 24, 0, 0, -26, -9, 0, -10, 24, 0, 32, 21, 0, 0, -48, 0, -36, 10, 0, 25, 0, 0, 32, 6, 0, 12, -3, 0, -16, 28, 0, 12, 30, 0, 0, 0, 0, -12, 0, 0, 72, 0, 0, -28, 18, 0, 0, 2, 0, -6, 3, 0, -34, -32, 0, 0, -12, 0, -50, 18, 0, -15, 0, 0, 14, -18, 0, 4, 0, 0, 9, -6, 0, 18, -60, 0, 0, -20, 0, 0, -42, 0, -64, 0, 0, 24, -6, 0, -5, 23, 0, 19, 24, 0, 40, -9, 0, 0, -48, 0, -54, 0, 0, 7, 0, 0, 38, -3, 0, 15, 24, 0, 0, 32, 0, -9, 15, 0, 0, -8, 0, -6, -21, 0, -18, 0, 0, -21, -36, 0, 0, -24, 0, 0, 0, 0, -1, -25, 0, 0, 3, 0, -36, -8, 0, 33, 0, 0, -46, 11, 0, 4, -24, 0, 54, 30, 0, -24, 6, 0, 0, 16, 0, -8, -3, 0, 37, 0, 0, -18, 48, 0, 4, -16, 0, 24, 42, 0, 0, 12, 0, 0, 24, 0, -17, 29, 0, -5, 0, 0, 27, 14, 0, -48, -3, 0, 40, -20, 0, 17, 0, 0, 0, 18, 0, -15, 48, 0, -40, 0, 0, 0, -27, 0, -56, 3, 0, 24, -33, 0, 0, -16, 0, 0, 36, 0, 4, 24, 0, -42, 0, 0, 17, 0, 0, 16, 3, 0, -37, -2, 0, 3, 12, 0, 0, 36, 0, 6, -60, 0, 54, 0, 0, 21, -18, 0, 7, 32, 0, 2, -36, 0, -13, -12, 0, 0, 0, 0, -64, 18, 0, -6, 0, 0, -32, -30, 0, 0, 102, 0, 63, 43, 0, -7, -24, 0, 0, -3, 0, 21, 75, 0, 18, 0, 0, 18, -6, 0, 18, 0, 0, -9, -12, 0, 27, 36, 0, 0, 54, 0, 0, -8, 0, 36, 0, 0, 50, 8, 0, 9, -84, 0, 28, -33, 0, 6, 12, 0, 0, 36, 0, 10, 0, 0, 16, 0, 0, -39, -60, 0, 54, -32, 0, 0, -36, 0, -72, -30, 0, 0, 12, 0, -16, -8, 0, -18, 0, 0, 29, 6, 0, -48, 45, 0, 62, 0, 0, -15, -24, 0, 0, -36, 0, 24, -42, 0, 0, 0, 0, -3, 57, 0, 67, -10, 0, -12, -36, 0, -16, 23, 0, 0, -48, 0, 34, 21, 0, -48, 0, 0, -9, 44, 0, 19, 24, 0, 41, -6, 0, 0, -12, 0, 0, -14, 0, -24, 24, 0, 22, 0, 0, 24, 42, 0, -35, -63, 0, -10, 57, 0, -72, 0, 0, 0, 3, 0, 68, 43, 0, -6, 0, 0, 0, 12, 0, -24, 54, 0, 36, -2, 0, -10, -48, 0, 0, 12, 0, -48, 36, 0, 40, 0, 0, -18, 0, 0, -2, 6, 0, 12, -24, 0, -27, 26, 0, 0, 60, 0, 4, -26, 0, 18, 0, 0, 20, 32, 0, 10, 72, 0, 36, 9, 0, 24, 24, 0, 0, 0, 0, -36, -15, 0, 16, 0, 0, 42, 3, 0, -44, -22, 0, -15, -48, 0, 14, 51, 0, 0, -48, 0, 54, -40, 0, -32, 0, 0, 64, 11, 0, -18, 0, 0, -52, -36, 0, 4, -42, 0, 0, 18, 0, 0, -60, 0, 79, 0, 0, -32, 78, 0, 72, -15, 0, 24, 12, 0, 32, 20, 0, 0, -12, 0, -74, 0, 0, -6, 0, 0, 36, -32, 0, 25, 30, 0, 0, 18, 0, 21, 72, 0, 0, -23, 0, -8, 60, 0, 20, 0, 0, 21, 6, 0, 79, 32, 0, -36, 0, 0, -7, -4, 0, 0, -51, 0, 46, -18, 0, 0, 0, 0, -40, 12, 0, 24, -42, 0, -5, 20, 0, 32, -21, 0, 0, 4, 0, -9, 24, 0, -26, 0, 0, 9, -66, 0, -20, 24, 0, 48, -48, 0, 0, 44, 0, 0, -27, 0, -9, 3, 0, 0, 0, 0, -90, 14, 0, -24, -72, 0, 14, -12, 0, 42, 0, 0, 0, 27, 0, 7, 21, 0, -99, 0, 0, 0, 48, 0, -20, 40, 0, -4, 30, 0, 2, -24, 0, 0, -48, 0, -29, -14, 0, -8, 0, 0, 8, 0, 0, -6, -48, 0, -90, -32, 0, -24, 30, 0, 0, 39, 0, 42, -24, 0, -14, 0, 0, 18, -48, 0, -47, -1, 0, -24, 27, 0, 20, -45, 0, 0, 0, 0, -108, -6, 0, 24, 0, 0, 11, 54, 0, 0, -9, 0, -8, 6, 0, -30, -48, 0, 0, -8, 0, -3, -102, 0, 18, 0, 0, -54, 0, 0, 28, 0, 0, -1, 24, 0, 80, 14, 0, 0, 57, 0, 0, 37, 0, -18, 0, 0, 40, -33, 0, 24, 66, 0, 21, -32, 0, -19, -24, 0, 0, 3, 0, -6, 0, 0, 16, 0, 0, 18, -30, 0, -32, -33, 0, 0, 72, 0, 47, -1, 0, 0, 33, 0, -47, -18, 0, -18, 0, 0, 36, -36, 0, 3, 30, 0, -80, 0, 0, 45, -30, 0, 0, -28, 0, 16, 18, 0, 0, 0, 0, -48, -75, 0, 72, -54, 0, 0, 12, 0, 18, -24, 0, 0, -60, 0, 36, -33, 0, 32, 0, 0, -36, -1, 0, -78, -27, 0, 68, 37, 0, -11, 84, 0, 0, 30, 0, 3, -30, 0, 27, 0, 0, -13, -9, 0, -71, -10, 0, 12, -108, 0, -32, 0, 0, 0, -72, 0, 32, -27, 0, 24, 0, 0, 0, -45, 0, 18, 9, 0, 68, -16, 0, 48, 75, 0, 0, -23, 0, -8, -96, 0, -62, 0, 0, 33, 0, 0, -50, 32, 0, 2, 18, 0, 56, -3, 0, 0, 60, 0, 54, 18, 0, -9, 0, 0, -34, -24, 0, 36, -96, 0, -85, -23, 0, -45, 48, 0, 0, 0, 0, 33, 27, 0, 40, 0, 0, 5, 12, 0, 0, 18, 0, 12, 72, 0, -56, 14, 0, 0, 75, 0, -36, -1, 0, 24, 0, 0, -4, -68, 0, 0, -66, 0, -18, -24, 0, -6, 12, 0, 0, -41, 0, 0, 51, 0, -16, 0, 0, -60, -48, 0, 80, -31, 0, -12, 6, 0, -76, -30, 0, 0, -42, 0, -74, 0, 0, 4, 0, 0, 36, -12, 0, 24, 0, 0, 0, 16, 0, -18, 96, 0, 0, -48, 0, 12, 84, 0, -53, 0, 0, 13, 21, 0, 8, 27, 0, -54, 0, 0, -18, -7, 0, 0, -90, 0, 82, -24, 0, 0, 0, 0, -91, 26, 0, 9, -87, 0, 29, 10, 0, -24, 24, 0, 0, -32, 0, -21, -54, 0, -36, 0, 0, 48, 30, 0, -62, 36, 0, -10, 21, 0, 0, -25, 0, 0, 24, 0, 54, -32, 0, -6, 0, 0, 62, -12, 0, 3, -24, 0, -72, 16, 0, -28, 0, 0, 0, -12, 0, -30, -24, 0, -40, 0, 0, 0, 48, 0, -68, 12, 0, 0, 54, 0, -11, -72, 0, 0, 30, 0, 117, 28, 0, -18, 0, 0, 20, 0, 0, -2, 24, 0, -72, 6, 0, -3, -60, 0, 0, 34, 0, 32, 9, 0, -59, 0, 0, 12, -36, 0, -18, 50, 0, -18, -36, 0, 8, 15, 0, 0, 0, 0, 80, -14, 0, 18, 0, 0, -56, -4, 0, 0, 39, 0, 56, -9, 0, 6, -12, 0, 0, -18, 0, 60, -72, 0, -5, 0, 0, 20, -3, 0, 64, 0, 0, 42, 51, 0, 80, 64, 0, 0, -24, 0, -44, -24, 0, 6, 0, 0, -99, 5, 0, -23, 45, 0, -85, -19, 0, -24, -57, 0, 0, -40, 0, 9, 0, 0, 90, 0, 0, 48, 60, 0, -72, 54, 0, 0, 90, 0, -99, -7, 0, 0, 9, 0, -8, -38, 0, 3, 0, 0, 26, -15, 0, -24, -78, 0, 40, 0, 0, -32, -63, 0, 0, 9, 0, -15, -12, 0, 0, 0, 0, 8, 48, 0, -50, 6, 0, 21, -12, 0, 47, 18, 0, 0, 18, 0, 19, 21, 0, 36, 0, 0, -28, 0, 0, 24, -60, 0, -72, 0, 0, 0, -36, 0, 0, 1, 0, 25, 96, 0, -36, 0, 0, -3, -21, 0, 20, 36, 0, 8, -48, 0, 18, -33, 0, 0, 90, 0, 40, 46, 0, -11, 0, 0, 0, -4, 0, 24, -39, 0, -10, -54, 0, -30, 66, 0, 0, 24, 0, -6, 72, 0, -136, 0, 0, -16, 0, 0, -81, 8, 0, 3, -69, 0, -18, -37, 0, 0, 54, 0, 52, 18, 0, -48, 0, 0, -73, -4, 0, 16, 30, 0, -80, -24, 0, -42, 72, 0, 0, 0, 0, -12, -48, 0, -54, 0, 0, -24, 6, 0, 0, 17, 0, -29, -60, 0, 11, 5, 0, 0, 24, 0, 104, -27, 0, -14, 0, 0, -72, 48, 0, 3, 0, 0, -7, -40, 0, 20, -60, 0, 0, -17, 0, 0, -45, 0, 126, 0, 0, -18, -24, 0, -26, 15, 0, -48, 36, 0, 54, 40, 0, 0, -42, 0, 37, 0, 0, 27, 0, 0, 2, 56, 0, -3, 60, 0, 0, -24, 0, 33, 48, 0, 0, 0, 0, 16, 96, 0, -32, 0, 0, -36, 48, 0, 18, -4, 0, -24, 0, 0, -44, 42, 0, 0, 12, 0, -11, -17, 0, 0, 0, 0, -36, -16, 0, -3, -48, 0, -90, 37, 0, 2, 18, 0, 0, -3, 0, -12, 12, 0, -62, 0, 0, -36, 27, 0, 80, -6, 0, 60, -48, 0, 0, -54, 0, 0, 54, 0, -144, -21, 0, 18, 0, 0, -8, -7, 0, -32, 39, 0, -16, -2, 0, 36, 0, 0, 0, 13, 0, 12, 66, 0, 58, 0, 0, 0, 18, 0, -72, 64, 0, -18, -84, 0, -76, 6, 0, 0, 12, 0, -50, 32, 0, 30, 0, 0, 32, 0, 0, -102, -12, 0, 26, -63, 0, -43, 6, 0, 0, 7, 0, 24, 3, 0, 56, 0, 0, 3, -30, 0, 94, -21, 0, -75, 78, 0, -13, -18, 0, 0, 0, 0, -47, -18, 0, 6, 0, 0, -16, -18, 0, 0, 0, 0, -10, 9, 0, 12, -84, 0, 0, -27, 0, -36, 57, 0, -16, 0, 0, -54, 60, 0, -86, 0, 0, 8, 72, 0, 36, -36, 0, 0, -48, 0, 0, -50, 0, -8, 0, 0, 32, -9, 0, 84, 12, 0, -18, -28, 0, 33, -42, 0, 0, -6, 0, -12, 66, 0, 18, 0, 0, -36, 102, 0, -29, -10, 0, 0, 96, 0, -82, -16, 0, 0, -24, 0, 64, 39, 0, 60, 0, 0, 28, -54, 0, 32, 30, 0, 45, 0, 0, 36, 27, 0, 0, 72, 0, 30, 24, 0, 0, 0, 0, -12, 84, 0, -62, 16, 0, 8, 42, 0, 36, 18, 0, 0, 63, 0, -54, -29, 0, -6, 0, 0, 8, 48, 0, -45, 60, 0, 65, -62, 0, 0, 69, 0, 0, 15, 0, 24, 60, 0, 32, 0, 0, 36, 18, 0, 18, -24, 0, 42, 66, 0, -80, 0, 0, 0, -69, 0, -92, 3, 0, -57, 0, 0, 0, -67, 0, 10, 54, 0, 4, 12, 0, 36, 84, 0, 0, 16, 0, -23, 21, 0, 36, 0, 0, 48, 0, 0, 34, -34, 0, -21, -30, 0, 136, 48, 0, 0, 42, 0, -45, 9, 0, -44, 0, 0, -45, -19, 0, -24, -36, 0, -54, -41, 0, 6, -96, 0, 0, 0, 0, 12, 12, 0, 43, 0, 0, 14, -87, 0, 0, 24, 0, -24, -9, 0, 18, -22, 0, 0, 12, 0, 52, -24, 0, -42, 0, 0, -56, 35, 0, 63, 0, 0, -56, 10, 0, -57, -24, 0, 0, 72, 0, 0, -42, 0, 0, 0, 0, -3, -66, 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": "378.2.g.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], [0], [1], [3], [0], [0], [-1], [0], [-3], [0], [0], [4], [0], [0], [1], [6], [0], [4], [3], [0], [0], [-6], [0], [4], [-4], [0], [0], [3], [0], [-8], [-1], [0], [-6], [0], [0], [8], [-4], [0], [-3], [-6], [0], [8], [0], [0], [6], [6], [0], [0], [-4], [0], [4], [-9], [0], [0], [0], [0], [-3], [-3], [0], [10], [8], [0], [1], [12], [0], [-10], [6], [0], [0], [-6], [0], [7], [-8], [0], [4], [0], [0], [17], [3], [0], [6], [-12], [0], [18], [-8], [0], [0], [6], [0], [0], [-6], [0], [-6], [12], [0], [10], [0], [0], [4]]}