# Stored data for newform 2166.2.a.t, downloaded from the LMFDB on 25 April 2024.
{"label": "2166.2.a.t", "space_label": "2166.2.a", "level": 2166, "weight": 2, "hecke_orbit": 20, "hecke_orbit_code": 85568392953596022, "dim": 3, "is_polredabs": true, "nf_label": "3.3.81.1", "trace_hash": 273943698402503620, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [3, 9, 6, 1]], [7, [1, -6, 3, 1]], [13, [19, -39, 0, 1]], [29, [-51, -27, 6, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+(-2-\\beta _{1})q^{5}+q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8664, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 17.29559707780933, "hecke_ring_index": 1, "level_radical": 114, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 18, "field_poly_is_real_cyclotomic": true, "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": [2166, 1, [1445, 1807], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 19], "conrey_indexes": [1], "field_disc": 81, "field_disc_factorization": [[3, 4]], "field_poly": [-1, -3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.841", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "21.291", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "234.032", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [19, 1]], "trace_display": [3, 3, -6, -3], "traces": [0, 3, 3, 3, 3, -6, 3, -3, 3, 3, -6, -12, 3, 0, -3, -6, 3, -12, 3, 0, -6, -3, -12, -12, 3, 3, 0, 3, -3, -6, -6, -3, 3, -12, -12, -3, 3, 3, 0, 0, -6, -9, -3, -3, -12, -6, -12, -15, 3, 0, 3, -12, 0, -3, 3, 18, -3, 0, -6, 0, -6, -3, -3, -3, 3, 6, -12, -6, -12, -12, -3, -9, 3, 3, 3, 3, 0, 21, 0, 9, -6, 3, -9, 3, -3, 27, -3, -6, -12, 3, -6, -27, -12, -3, -15, 0, 3, -12, 0, -12, 3, 15, -12, 21, 0, -3, -3, -15, 3, -21, 18, 3, -3, -6, 0, 36, -6, 0, 0, 12, -6, 21, -3, -9, -3, -3, -3, -12, 3, -3, 6, 6, -12, 0, -6, -6, -12, -3, -12, -3, -3, -15, -9, -6, 3, 27, 3, 0, 3, 6, 3, 6, 0, -12, 21, -3, 0, 42, 9, -3, -6, 3, 3, 12, -9, 18, 3, 0, -3, 39, 27, 0, -3, 15, -6, 33, -12, 0, 3, -15, -6, -48, -27, -3, -12, -12, -3, 45, -15, -3, 0, -12, 3, -33, -12, 6, 0, 21, -12, 18, 3, -6, 15, -3, -12, 9, 21, -12, 0, 0, -3, -9, -3, -9, -15, 24, 3, 12, -21, 3, 18, -15, 3, 69, -3, 3, -6, -9, 0, 30, 36, 21, -6, -6, 0, 9, 0, 9, 12, 12, -6, -39, 21, 3, -3, 27, -9, 0, -3, 3, -3, 3, -3, 36, -12, 27, 3, 12, -3, 15, 6, -6, 6, -3, -12, -18, 0, 3, -6, 39, -6, -3, -12, -27, -3, 15, -12, 51, -3, -3, -3, -3, -15, -21, -9, 0, -6, 9, 3, 3, 27, -12, 3, -39, 0, 27, 3, -12, 6, -24, 3, -24, 6, 15, 0, -3, -12, 15, 21, 21, -3, 15, 0, 15, 42, -3, 9, 15, -3, 9, -6, -15, 3, 0, 3, -9, 12, -21, -9, 42, 18, 27, 3, 3, 0, -3, -3, 6, 39, -6, 27, 21, 0, -42, -3, 36, 15, -9, -6, 21, 33, 0, -12, -9, 0, 0, 3, 12, -15, -24, -6, 0, -48, 21, -27, 33, -3, -48, -12, -9, -12, 21, -3, 15, 45, -3, -15, -39, -3, -12, 0, -12, -12, -27, 3, 0, -33, -3, -12, -51, 6, 63, 0, 6, 21, -3, -12, -30, 18, 0, 3, -57, -6, 9, 15, -6, -3, -6, -12, -30, 9, -3, 21, -18, -12, -54, 0, -3, 0, 3, -3, -12, -9, -15, -3, -30, -9, 30, -15, -6, 24, -39, 3, 24, 12, 27, -21, 0, 3, 9, 18, 0, -15, -33, 3, -9, 69, 6, -3, 24, 3, 45, -6, 6, -9, 12, 0, -42, 30, -12, 36, -27, 21, 9, -6, -3, -6, -18, 0, 15, 9, 42, 0, -6, 9, 0, 12, -3, 12, -36, -6, -42, -39, 3, 21, 42, 3, -21, -3, 12, 27, 3, -9, 45, 0, 18, -3, 36, 3, -45, -3, 0, 3, -21, -3, -36, 36, 39, -12, -3, 27, -30, 3, 0, 12, -30, -3, 81, 15, 15, 6, 42, -6, 33, 6, 33, -3, 3, -12, 21, -18, 0, 0, 45, 3, 81, -6, -15, 39, -27, -6, 57, -3, -48, -12, 51, -27, 15, -3, -3, 15, 0, -12, -9, 51, -12, -3, -33, -3, 18, -3, 45, -3, -15, -15, 63, -21, -3, -9, -15, 0, -51, -6, -12, 9, -75, 3, -66, 3, -33, 27, 96, -12, 36, 3, 6, -39, -48, 0, 0, 27, 21, 3, -33, -12, 18, 6, 18, -24, -18, 3, 51, -24, -6, 6, 3, 15, 60, 0, -3, -3, -3, -12, 6, 15, 9, 21, -36, 21, 24, -3, -12, 15, -48, 0, 39, 15, 0, 42, -6, -3, -15, 9, -9, 15, 24, -3, 117, 9, -9, -6, 0, -15, -9, 3, 24, 0, -51, 3, -27, -9, 12, 12, 39, -21, -36, -9, 3, 42, -51, 18, -66, 27, -15, 3, 0, 3, 81, 0, 69, -3, 21, -3, -45, 6, 3, 39, 60, -6, 21, 27, -9, 21, -102, 0, 18, -42, 30, -3, 48, 36, -3, 15, 21, -9, -21, -6, 18, 21, -6, 33, 51, 0, 0, -12, 9, -9, 3, 0, 90, 0, 9, 3, -15, 12, -27, -15, 12, -24, -18, -6, -12, 0, -39, -48, -87, 21, 45, -27, 3, 33, 21, -3, -3, -48, 27, -12, 39, -9, -42, -12, 0, 21, -27, -3, -27, 15, 3, 45, -93, -3, -42, -15, 3, -39, 15, -3, 96, -12, 36, 0, 27, -12, 12, -12, 27, -27, -63, 3, -9, 0, 12, -33, -15, -3, 42, -12, 15, -51, 0, 6, 54, 63, -6, 0, -75, 6, -3, 21, -3, -3, -75, -12, -63, -30, -18, 18, -51, 0, 45, 3, 3, -57, -51, -6, 36, 9, 39, 15, -42, -6, -21, -3, -3, -6, -48, -12, 0, -30, -27, 9, 99, -3, -57, 21, 15, -18, -66, -12, -27, -54, 51, 0, -9, -3, 27, 0, -3, 3, -75, -3, 3, -12, -3, -9, -9, -15, -93, -3, -21, -30, -6, -9, 66, 30, 0, -15, 78, -6, -78, 24, 9, -39, -42, 3, -54, 24, 3, 12, -51, 27, 39, -21, -12, 0, -42, 3, -6, 9, -39, 18, 6, 0, -81, -15, 27, -33, 24, 3, -6, -9, -12, 69, 0, 6, -18, -3, -24, 24, -30, 3, -18, 45, -24, -6, 105, 6, -75, -9, 15, 12, -45, 0, 36, -42, -3, 30, 57, -12, 0, 36, 15, -27, -18, 21, 21, 9, 21, -6, 21, -3, 0, -6, 15, -18, -72, 0, 3, 15, 15, 9, 12, 42, -9, 0, -3, -6, -33, 9, -87, 0, 15, 12, -54, -3, 9, 12, 9, -36, -51, -6, -72, -42, -15, -39, 60, 3, -15, 21, 0, 42, 6, 3, 66, -21, -9, -3, -15, 12, -9, 27, -21, 3, -60, -9, -81, 45, 42, 0, 48, 18, -21, -3, 27, 36, -57, 3, 72, -45, 3, -3, 150, 0, 36, 3, -3, -21, 0, -3, -111, -36, 6, 36, 51, 39, 36, -12, -6, -3, -54, 27, -27, -30, 21, 3, 45, 0, -75, 12, -42, -30, 75, -3, 57, 81, 36, 15, 21, 15, 0, 6, -9, 42, -24, -6, 0, 33, 21, 6, 27, 33, -21, -3, 0, 3, 15, -12, -96, 21, -9, -18, 87, 0, -45, 0, 0, 45, 30, 3, 3, 81, 12, -6, 6, -15, -84, 39, -24, -27, -156, -6, 9, 57, 0, -3, -15, -48, -75, -12, 21, 51, -93, -27, -45, 15, 33, -3, 27, -3, -69, 15, -48, 0, -27, -12, 0, -9, -9, 51, 69, -12, -54, -3, 21, -33, -156, -3, 42, 18, 15, -3, 0, 45, 48, -3, -3, -15, 9, -15, -21, 63, -39, -21, -96, -3, -54, -9, -12, -15, 3, 0, -3, -51, -12, -6, -48, -12, -3, 9, -27, -75, 21, 3, 27, -66, 0, 3, 195, -33, 0, 27, -3, 96, -12, -12, -45, 36, -51, 3, -90, 6, 30, -39, 63, -48, 84, 0, 9, 0, 6, 27, -48, 21, -111, 3, -3, -33, -45, -12, -45, 18, -30, 6, 24, 18, -18, -24, 0, -18, 75, 3, -111, 51, -57, -24, 42, -6, 27, 6, 9, 3, -6, 15, 9, 60, -6, 0, 39, -3, -72, -3, -6, -3, 36, -12, -99, 6, -30, 15, -96, 9, 33, 21, -3, -36, 0, 21, 18, 24, -18, -3, 39, -12, -27, 15, -54, -48, 51, 0, -48, 39, -3, 15, 51, 0, -18, 42, 3, -6, -75, -3, -126, -15, -12, 9, -81, -9, 30, 15, -15, 24, 36, -3, 0, 117, -30, 9, -138, -9, -75, -6, 30, 0, 6, -15, 0, -9, -6, 3, -9, 24, 30, 0, -39, -51, -15, 3, 30, -27, 24, -9, -30, 12, 3, 12, 27, 39, 15, -21, -90, -36, 0, -9, -42, 3, -72, 42, 9, -51, 15, 18, -6, -66, 0, 27, 123, -15, -12, 3, -33, 0, 3, 3, -24, 81, -9, 0, 30, 69, -96, -3, 6, 21, -6, -3, -63, -45, 24, 6, 0, 3, 42, 39, 45, 60, 51, -6, 99, 21, 6, 27, 114, -9, -36, 21, 12, -102, 84, 0, -84, 18, -42, -42, 69, 30, -36, -3, -12, 48, 42, 36, 9, -3, -27, 15, -111, 21, 0, -9, 9, -21, 177, -6, 45, 18, -3, 21, 48, -6, -45, 33, -18, 51, 21, 0, 27, 0, 15, -12, -39, 9, -9, -9, 42, 3, 96, 0, -9, 90, -6, 0, 0, 9, 30, 3, 0, -15, -9, 12, -27, -27, -3, -15, 57, 12, -9, -24, -36, -18, 15, -6, 0, -12, -42, 0, -33, -39, 69, -48, 3, -87, 123, 21, -102, 45, 42, -27, 51, 3, -33, 33, -21, 21, 0, -3, 72, -3, 12, -48, 69, 27, -102, -12, 3, 39, -144, -9, 9, -42, 45, -12, 54, 0, 60, 21, 18, -27, 75, -3, -99, -27, 36, 15, 60, 3, 27, 45, -45, -93, 9, -3, 0, -42, 0, -15, 39, 3, 0, -39, -21, 15, 45, -3, -63, 96, -36, -12, -27, 36, -18, 0, 39, 27, -36, -12, 24, 12, -3, -12, 39, 27, -39, -27, -30, -63, -111, 3, -108, -9, 0, 0, -33, 12, 33, -33, -30, -15, 114, -3, 57, 42, 81, -12, -150, 15, -18, -51, 15, 0, 63, 6, -24, 54, 42, 63, -75, -6, 123, 0, 33, -75, -12, 6, 63, -3, 33, 21, 0, -3, -111, -3, 3, -75, -45, -12, -81, -63, 21, -30, 126, -18, -21, 18, 0, -51, -45, 0, 0, 45, 45, 3, -147, 3, -30, -57, 81, -51, -36, -6, -12, 36, -15, 9, 60, 39, 0, 15, -27, -42, 48, -6, -6, -21, 57, -3, -60, -3, 39, -6, -48, -48, 87, -12, 0, 0, 51, -30, 171, -27, -9, 9, 15, 99, 57, -3, -27, -57, -3, 21, 93, 15, 72, -18, 0, -66, -30, -12, 48, -27, -9, -54, -51, 51, 90, 0, -12, -9, 72, -3, 12, 27, -33, 0, -30, -3, 75, 3, 18, -75, 129, -3, -42, 3, 45, -12, 15, -3, 57, -9, -15, -9, 0, -15, -48, -93, 63, -3, -72, -21, 39, -30, -3, -6, -132, -9, -9, 66, -15, 30, -111, 0, 135, -15, -51, 78, 75, -6, -54, -78, -12, 24, -87, 9, -75, -39, -75, -42, -177, 3, 0, -54, -66, 24, 45, 3, 0, 12, -33, -51, -3, 27, 24, 39, 96, -21, -102, -12, 24, 0, 36, -42, -51, 3, 42, -6, 6, 9, 78, -39, 60, 18, -48, 6, -18, 0, 18, -81, 0, -15, 24, 27, -54, -33, 21, 24, 72, 3, 21, -6, -33, -9, 156, -12, 48, 69, 18, 0, -57, 6, 120, -18, 18, -3, -24, -24, 36, 24, -18, -30, -39, 3, -42, -18, 51, 45, 0, -24, -117, -6, -6, 105, 39, 6, -72, -75, 3, -9, 39, 15, 54, 12, 60, -45, -36, 0, -204, 36, -3, -42, -63, -3, -66, 30, -3, 57, 105, -12, -27, 0, 6, 36, 138, 15, 0, -27, 9, -18, -102, 21, -72, 21, -36, 9, 93, 21, -45, -6, 24, 21, -225, -3, 30, 0, -12, -6, 60, 15, 6, -18, -48, -72, -51, 0, 108, 3, 39, 15, 0, 15, 33, 9, 0, 12, -75, 42, 63, -9, -6, 0, -27, -3, 3, -6, -15, -33, 105, 9, -105, -87, -9, 0, 6, 15, -36, 12, 24, -54, -57, -3, -54, 9, 117, 12, 99, 9, 0, -36, -9, -51, 0, -6, 45, -72, 0, -42, -141, -15, 90, -39, -9, 60, 96, 3, -117, -15, 24, 21, 147, 0, -15, 42, -51, 6, -66, 3, 99, 66, -27, -21, 72, -9, 78, -3, 12, -15, -198, 12, 0, -9, 39, 27, -15, -21, 225, 3, -36, -60, 3, -9, 108, -81, 3, 45, -87, 42, -81, 0, -51, 48, 111, 18, -78, -21, -66, -3, 114, 27, -171, 36, -15, -57, 183, 3, -66, 72, 0, -45, 123, 3, -75, -3, 81, 150, -93, 0, 81, 36, 69, 3, 27, -3, 105, -21, 21, 0, -33, -3, 66, -111, -45, -36, -48, 6, 6, 36, 3, 51, 84, 39, 6, 36, 60, -12, 0, -6, 36, -3, 21, -54, 12, 27, 63, -27, -9, -30, 42, 21, -117, 3, -102, 45, 48, 0, 144, -75, 18, 12, -66, -42, -27, -30, 30, 75, 72, -3, 54, 57, 48, 81, -114, 36, 0, 15, -3, 21, 192, 15, 42, 0, 21, 6, -102, -9, 108, 42, -21, -24, 78, -6, -12, 0, 18, 33, 78, 21, 45, 6, -6, 27, 18, 33, 63, -21, 51, -3, 78, 0, 81, 3, 0, 15, 78, -12, 60, -96, 9, 21, 186, -9, 84, -18, 3, 87, 138, 0, 63, -45, 90, 0, 18, 0, 51, 45, 9, 30, -15, 3, 144, 3, -15, 81, 90, 12, -138, -6, -27, 6, 0, -15, 147, -84, 12, 39, 126, -24, 54, -27, -18, -156, 30, -6, 42, 9, -12, 57, -12, 0, -45, -3, -39, -15, 225, -48, 99, -75, -87, -12, -24, 21, 36, 51, 45, -93, 18, -27, 0, -45, 3, 15, -51, 33, 93, -3, 21, 27, 24, -3, -57, -69, -3, 15, 36, -48, 180, 0, 27, -27, 84, -12, 12, 0, 39, -9, 39, -9, 135, 51, -42, 69, 138, -12, -30, -54, 0, -3, 66, 21, -9, -33, -27, -156, 156, -3, -18, 42, -27, 18, 33, 15, -84, -3, 3, 0, 63, 45, 54, 48, -93, -3, 84, -3, 60, -15, -42, 9, -54, -15, 33, -21, 3, 63, 0, -39, -93, -21, 15, -96, -111, -3, -33, -54, 96, -9, 105, -12, 135, -15, 36, 3, -69, 0, 51, -3, 27, -51, 24, -12, 63, -6, 12, -48, 87, -12, -93, -3, 27, 9, 171, -27, 0, -75, -63, 21, -72, 3, 27, 27, -9, -66, -39, 0, 15, 3, 12, 195, 78, -33, -117, 0, -15, 27, 39, -3, -54, 96, 42, -12, 96, -12, -18, -45, 15, 36, -42, -51, -9, 3, 0, -90, 84, 6, 60, 30, 54, -39, -24, 63, -237, -48, -6, 84, -63, 0, 27, 9, -75, 0, 0, 6, -78, 27, -3, -48, 21, 21, -45, -111, -3, 3, -6, -3, -24, -33, -75, -45, 0, -12, -45, -45, -63, 18, 75, -30, -75, 6, -18, 24, -57, 18, 60, -18, -51, -24, 117, 0, 90, -18, 45, 75, 24, 3, 87, -111, 3, 51, 48, -57, -45, -24, -51, 42, 78, -6, 0, 27, 36, 6, 33, 9, -108, 3, 39, -6, 3, 15, -129, 9, -42, 60, 81, -6, 90, 0, -21, 39, 42, -3, 177, -72, -3, -3, 36, -6, 42, -3, -48, 36, 30, -12, -54, -99, 0, 6, -258, -30, 18, 15, -27, -96, -78, 9, 99, 33, 99, 21, -171, -3, 60, -36, -57, 0, 45, 21, -21, 18, 15, 24, 51, -18, -18, -3, -66, 39, 3, -12, -27, -27, -27, 15, 0, -54, 117, -48, 51, 51, 33, 0, 108, -48, -9, 39, -18, -3, 9, 15, 27, 51, 111, 0, -6, -18, -3, 42, -12, 3, 135, -6, -75, -75, -132, -3, -108, -126, 3, -15, 33, -12, 0, 9, -3, -81, -6, -9, -72, 30, -9, 15, 81, -15, -48, 24, -93, 36, -3, -3, 18, 0, -21, 117, 60, -30, -9, 9, -6, -138, 75, -9, 171, -75, 66, -6, -57, 30, 81, 0, 0, 6, -60, -15, 66, 0, 78, -9, 42, -6, -60, 3, -78, -9, -105, 24, -162, 30, 9, 0, -63, -39, -147, -51, -42, -15, -60, 3, 33, 30, -54, -27, -18, 24, 117, -9, 3, -30, 0, 12, -135, 3, -51, 12, -45, 27, -150, 39, 39, 15, -57, -21, 147, -90, -12, -36, -57, 0, -24, -9, -42, -42, 9, 3, -54, -72, -6, 42, 15, 9, 36, -51, -39, 15, 30, 18, 0, -6, 6, -66, -177, 0, -75, 27, -81, 123, 192, -15, -78, -12, 27, 3, 48, -33, -180, 0, 24, 3, -45, 3, -90, -24, -6, 81, -177, -9, 180, 0, -12, 30, -213, 69, -57, -96, 0, -3, 117, 6, 150, 21, -18, -6, -57, -3, -75, -63, -24, -45, 3, 24, -63, 6, -30, 0, -153, 3, 27, 42, -18, 39, -147, 45, 12, 60, -24, 51, -126, -6, -21, 99, 105, 21, 0, 6, -51, 27, -75, 114, 78, -9, -66, -36, 15, 21, -69, 12, -15, -102, -45, 84, 69, 0, 0, -84, 36, 18, 198, -42, 15, -42, -3, 69, 81, 30, 21, -36, 57, -3, -27, -12, 0, 48, 0, 42, 51, 36, 0, 9, 15, -3, 21, -27, -3, 15, -18, -111, -87, 21, -117, 0, 21, -9, 21, 9, -51, -21, 21, 177, -3, -6, 99, 45, 21, 18, -72, -3, -12, 21, 0, 48, 3, -6, -63, -45, 15, 33, 189, -18, -93, 51, -72, 21, 84, 0, 12, 27, 3, 0, 177, 15, 18, -12, 15, -39, -204, 9, 63, -9, 12, -9, -231, 42, -72, 3, -9, 96, 0, 0, 42, -9, -3, 90, 18, -6, -36, 0, -33, 0, -87, 9, 126, 30, -87, 3, -75, 0, 15, -15, 15, -9, 60, 12, -21, -27, -54, -27, -144, -3, 30, -15, 9, 57, 33, 12, 0, -9, 9, -24, -90, -36, 162, -18, -51, 15, 33, -6, -39, 0, -72, -12, 141, -42, -111, 0, -15, -33, 9, -39, 90, 69, 60, -48, -159, 3, -90, -87, -15, 123, 78, 21, -99, -102, 0, 45, -99, 42, 54, -27, 6, 51, 0, 3, -48, -33, 66, 33, 12, -21, 39, 21, -9, 0, 69, -3, -18, 72, -15, -3, -48, 12, 99, -48, -9, 69, 153, 27, -99, -102, -21, -12, 0, 3, -15, 39, -60, -144, -108, -9, 21, 9, -81, -42, -123, 45, -171, -12, 42, 54, -42, 0, 72, 60, 48, 21, -168, 18, 126, -27, -21, 75, -159, -3, -60, -99, 27, -27, -33, 36, 0, 15, -57, 60, 69, 3, -108, 27, 72, 45, -162, -45, 135, -93, 3, 9, 51, -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": "114.2.i.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, 0, 0], [1, 0, 0], [1, 0, 0], [1, 0, 0], [1, 0, 0], [-2, -1, 0], [1, 0, 0], [-1, 2, -1], [1, 0, 0], [1, 0, 0], [-2, -1, 0], [-4, 1, 0], [1, 0, 0], [0, -3, 4], [-1, 2, -1], [-2, -1, 0], [1, 0, 0], [-4, 0, -1], [1, 0, 0], [0, 0, 0], [-2, -1, 0], [-1, 2, -1], [-4, 1, 0], [-4, -1, -2], [1, 0, 0], [1, 4, 1], [0, -3, 4], [1, 0, 0], [-1, 2, -1], [-2, -1, -3], [-2, -1, 0], [-1, 1, 1], [1, 0, 0], [-4, 1, 0], [-4, 0, -1], [-1, -2, 0], [1, 0, 0], [1, 2, -2], [0, 0, 0], [0, -3, 4], [-2, -1, 0], [-3, 0, 3], [-1, 2, -1], [-1, -3, 0], [-4, 1, 0], [-2, -1, 0], [-4, -1, -2], [-5, 3, 1], [1, 0, 0], [0, -7, 5], [1, 4, 1], [-4, 0, -1], [0, -3, 4], [-1, 2, 4], [1, 0, 0], [6, 2, -1], [-1, 2, -1], [0, 0, 0], [-2, -1, -3], [0, -2, -5], [-2, -1, 0], [-1, 3, -3], [-1, 1, 1], [-1, 2, -1], [1, 0, 0], [2, 2, -5], [-4, 1, 0], [-2, 1, 3], [-4, 0, -1], [-4, -1, -2], [-1, -2, 0], [-3, 3, 0], [1, 0, 0], [1, -3, -7], [1, 2, -2], [1, 4, 1], [0, 0, 0], [7, -10, 6], [0, -3, 4], [3, 0, -5], [-2, -1, 0], [1, 0, 0], [-3, 0, 3], [1, 11, -6], [-1, 2, -1], [9, 5, 2], [-1, -3, 0], [-2, -1, -3], [-4, 1, 0], [1, -5, 11], [-2, -1, 0], [-9, 10, -6], [-4, -1, -2], [-1, 1, 1], [-5, 3, 1], [0, 0, 0], [1, 0, 0], [-4, 1, -8], [0, -7, 5], [-4, 1, 0], [1, 4, 1]]}