# Stored data for newform 2166.2.a.u, downloaded from the LMFDB on 24 April 2024.
{"label": "2166.2.a.u", "space_label": "2166.2.a", "level": 2166, "weight": 2, "hecke_orbit": 21, "hecke_orbit_code": 90071992580966518, "dim": 3, "is_polredabs": true, "nf_label": "3.3.81.1", "trace_hash": 2085725555195683745, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [9, -9, 0, 1]], [7, [-1, 0, 3, 1]], [13, [-3, 9, -6, 1]], [29, [213, -45, -6, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+(-\\beta _{1}-\\beta _{2})q^{5}+\\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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [2166, 1, [1445, 1807], [1, 1]], "hecke_ring_generator_nbound": 7, "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": "0.010", "prec": 17}, {"__RealLiteral__": 0, "data": "2.817", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "21.803", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "258.020", "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, 0, -3], "traces": [0, 3, 3, 3, 3, 0, 3, -3, 3, 3, 0, 0, 3, 6, -3, 0, 3, 6, 3, 0, 0, -3, 0, 6, 3, 3, 6, 3, -3, 6, 0, 9, 3, 0, 6, 9, 3, 9, 0, 6, 0, 9, -3, 15, 0, 0, 6, 3, 3, -12, 3, 6, 6, -3, 3, 0, -3, 0, 6, -12, 0, -33, 9, -3, 3, 0, 0, 12, 6, 6, 9, 15, 3, 3, 9, 3, 0, 3, 6, 15, 0, 3, 9, 27, -3, -27, 15, 6, 0, -15, 0, -3, 6, 9, 3, 0, 3, -12, -12, 0, 3, -3, 6, 3, 6, 9, -3, -21, 3, 39, 0, 9, -3, 12, 0, -18, 6, 6, -12, -18, 0, -27, -33, 9, 9, -27, -3, -24, 3, 15, 0, 6, 0, 0, 12, 0, 6, 3, 6, -15, 9, 3, 15, 6, 3, 45, 3, -12, 9, -24, 3, -24, 0, 6, 3, 27, 6, -24, 15, -3, 0, -27, 3, -48, 9, 0, 27, 12, -3, -21, -27, 0, 15, -3, 6, -21, 0, -12, -15, 39, 0, -12, -3, -33, 6, -36, 9, 3, 3, -3, 0, 0, 3, -15, -12, 0, -12, 3, 0, -30, 3, 12, -3, 15, 6, -9, 3, 6, 6, 0, 9, 33, -3, 15, -21, 18, 3, 0, 39, 3, 0, 15, 9, 3, -3, 3, 12, 9, 0, -42, -18, 3, 6, -24, 6, -27, -12, 15, -18, -12, 0, 15, -27, 3, -33, -27, 9, 0, 9, 27, -27, 39, -3, -24, -24, -27, 3, -12, 15, -39, 0, 6, 6, 3, 0, 18, 0, -15, 12, 45, 0, 9, 6, -3, 3, -9, 6, -33, -15, 9, 9, 15, 3, -3, 15, 0, 6, -3, 3, 3, 45, -12, 3, 3, -12, -27, 9, 0, -24, -12, 3, -12, -24, -3, 0, 9, 6, -39, 3, 3, 27, -27, 6, -9, -24, 9, 15, 15, -3, -3, 0, -21, -27, 0, 3, -3, -48, 39, 9, -12, 0, 27, 27, 9, 12, 9, -3, -6, -21, 12, -27, -9, 0, 18, 15, -18, -3, 15, 6, 15, -21, 6, 0, 81, -12, -54, -15, -18, 39, 24, 0, 0, -12, -27, -3, -63, -33, -18, 6, 9, -36, -9, 9, 39, 3, -27, 3, 9, -3, 18, 0, -24, 0, 27, 3, 0, -15, 15, -12, 3, 0, 27, -12, 6, 3, -45, 0, 0, -30, 0, 3, -15, 12, 9, -3, 0, 15, -24, 6, -30, -9, 3, 3, 12, 6, -18, 6, -15, 0, -21, 9, -30, 33, 3, -3, 42, 15, 36, -21, 6, 18, -3, 3, 0, 0, 45, 39, 0, 3, -69, 0, -12, 15, 51, 9, -27, 3, -24, -3, -36, 3, 21, 12, -24, 9, 18, 0, -42, -42, 6, -18, -45, 3, 9, 6, 27, -24, 78, 6, 3, -27, -24, -12, -12, 15, 0, -18, -3, -12, 54, 0, -6, 15, -27, -27, 0, 3, -39, -33, -48, -27, -33, 9, -57, 0, 0, 9, -54, 27, 15, -27, 12, 39, 3, -3, 36, -24, -21, -24, 3, -27, -30, 3, 0, -12, 54, 15, 9, -39, -3, 0, 12, 6, -9, 6, -21, 3, -27, 0, 57, 18, -12, 0, 39, -15, -27, 12, 39, 45, -3, 0, 21, 9, -12, 6, 9, -3, -51, 3, -33, -9, 0, 6, -15, -33, -36, -15, -45, 9, 18, 9, 3, 15, 15, 3, -45, -3, -3, 15, 9, 0, 63, 6, 0, -3, 69, 3, -78, 3, -15, 45, -30, -12, -42, 3, 0, 3, 24, -12, 0, -27, 3, 9, 33, 0, 72, -24, -30, -12, 6, 3, -15, -12, 12, -24, 9, -3, -24, 0, 15, 9, 15, 6, -48, -39, -9, 3, 0, 3, 0, 27, 6, -27, 18, 6, -33, -9, 0, -24, 60, 9, 9, 15, 33, 15, 36, -3, -27, -3, 15, 0, 18, -21, -87, -27, 18, 0, -21, 3, 27, -3, 0, -48, 15, 39, 18, 9, 3, -12, 39, 0, -30, 27, 15, 27, 0, 9, -21, 12, 3, 9, -3, -3, -3, -6, 3, -21, -42, 12, 9, -27, 9, -9, 90, 0, -72, 18, -42, 15, -48, -18, 15, -3, 3, 15, -9, 6, 42, 15, -24, -21, 39, 6, 0, 0, -27, 81, 39, -12, 18, -54, 15, -15, 27, -18, 9, 39, -12, 24, 6, 0, 12, 0, 15, -12, -57, -27, 33, -3, 3, -63, -3, -33, -33, -18, -27, 6, 21, 9, 66, -36, 0, -9, 63, 9, -27, 39, 27, 3, -9, -27, 18, 3, 39, 9, 81, -3, -24, 18, -24, 0, 9, -24, -30, 0, -27, 27, 3, 3, 3, 0, -12, -15, -15, 15, -18, -12, -39, 3, 0, 0, -24, 27, 6, -12, -27, 6, -9, 3, 3, -45, -27, 0, -69, 0, 18, -30, -63, 0, 51, 3, -15, -15, 9, 12, 54, 9, 45, -3, 36, 0, -15, 15, 9, -24, -36, 6, 0, -30, -3, -9, -75, 3, -39, 3, -9, 12, 30, 6, 39, -18, -33, 6, 15, -15, -45, 0, 9, -21, 39, 9, 39, -30, 15, 33, 9, 3, 33, -3, -3, 42, 150, 15, -66, 36, 0, -21, -24, 6, 54, 18, -3, -3, 36, 3, -18, 0, 3, 0, 45, 45, 45, 39, -12, 0, 18, 3, 6, -69, 3, 0, -12, -12, 9, 15, -27, 51, -6, 9, 54, -27, 0, 3, 0, -24, 72, -3, -12, -36, 90, 3, -54, 21, -12, 12, 81, -24, -27, 9, -3, 18, 33, 0, 12, -42, 9, -42, 15, 6, 42, -18, -39, -45, 6, 3, 99, 9, 3, 6, 9, 27, 0, -24, -27, 78, 18, 6, -21, 3, -9, -27, 36, -24, -57, -12, 9, -12, 39, 15, 15, 0, 15, -18, 18, -3, -45, -12, -3, 54, -51, 0, -12, -6, -21, 15, -36, -27, 51, -27, 0, 0, -42, 3, 0, -39, -3, -33, -69, -48, 33, -27, 39, -33, 102, 9, 63, -57, -12, 0, 60, 0, 3, 9, 27, -54, -45, 27, 60, 15, 9, -27, 6, 12, 30, 39, 9, 3, 0, -3, 51, 36, -6, -24, -9, -21, -72, -24, 12, 3, 54, -27, 81, -30, -9, 3, -9, 0, 75, -12, 18, 54, -21, 15, 33, 9, -18, -39, -81, -3, -24, 0, 15, 12, 0, 6, 0, -9, 15, 6, -57, -21, 21, 3, 6, -27, -27, 0, 36, 57, 81, 18, -21, -12, 39, 0, -54, 39, -6, -15, -9, -27, -18, 12, -60, 39, 6, 45, 24, -3, 66, 0, -3, 21, 0, 9, -27, -12, -51, 6, -27, 9, 9, -3, 93, -51, -63, 3, -75, -33, 21, -9, -18, 0, 69, 6, -36, -15, 9, -33, -15, -36, 36, -15, -9, -45, -36, 9, 90, 18, 39, 9, 0, 3, 72, 15, -27, 15, 15, 3, 21, -45, 9, -3, -24, -3, 18, 15, 18, 9, 21, 0, 21, 63, -24, 6, 36, 0, 9, -3, 27, 69, -81, 3, 57, -78, 0, 3, 3, -15, 0, 45, 15, -30, -72, -12, -27, -42, 3, 3, -42, 0, -18, 3, 27, 24, 30, -12, -33, 0, 6, -27, -78, 3, 39, 9, -45, 33, 111, 0, -15, 72, 0, -24, 30, -30, 126, -12, 0, 6, 9, 3, 9, -15, -15, -12, 72, 12, 99, -24, 9, 9, 6, -3, -33, -24, 0, 0, 33, 15, 144, 9, -24, 15, 30, 6, 33, -48, -30, -39, 6, -9, -57, 3, 3, 0, 0, 3, 0, 0, 12, 27, 105, 6, 15, -27, -18, 18, 81, 6, -48, -33, -15, -9, 9, 0, 18, -24, -21, 60, 21, 9, -30, 9, -30, 15, -27, 33, 78, 15, 3, 36, -18, -3, 0, -27, 42, -3, -18, 15, 99, 0, 36, 18, -18, -21, -72, -87, 6, -27, -21, 18, 60, 0, -3, -21, 99, 3, 66, 27, 0, -3, -114, 0, 93, -48, 45, 15, -99, 39, 6, 18, 0, 9, 30, 3, 90, -12, -69, 39, 21, 0, 6, -30, -12, 27, 33, 15, 30, 27, 51, 0, 3, 9, 90, -21, -27, 12, -42, 3, -18, 9, -24, -3, 120, -3, 99, -3, -36, -6, 0, 3, -12, -21, 21, -42, -117, 12, -105, 9, -24, -27, -6, 9, -66, -9, 18, 90, -54, 0, 84, -72, -42, 18, -39, -42, 0, 15, 6, -48, 6, -18, -45, 15, -45, -3, 27, 3, 0, 15, 9, -9, -75, 6, 21, 42, 27, 15, 24, -24, 3, -21, 78, 39, -63, 6, -27, 0, 3, 0, 57, -27, 87, 81, -24, 39, 54, -12, 87, 18, -12, -54, -90, 15, 12, -15, 0, 27, -39, -18, 9, 9, -3, 39, -33, -12, 45, 24, 54, 6, 81, 0, 24, 12, -6, 0, -153, 15, -51, -12, -27, -57, 3, -27, -30, 33, 0, -3, -45, 3, 45, -63, -39, -3, 0, -33, -72, -33, -48, -18, 39, -27, -24, 6, -33, 21, -12, 9, -51, 66, -57, -36, -30, 0, -96, -9, 0, 63, 45, 9, 117, -27, -54, 39, -48, 27, -63, 3, 15, -9, -63, -27, 0, 18, 12, 3, 9, 39, -24, 9, 3, 81, -9, -3, 27, -24, 36, 18, -39, -24, -72, 0, -21, 9, 24, -24, -42, -30, 3, 0, -21, -27, -21, 27, -30, 3, -45, 3, 60, 3, 0, 0, -69, -12, 3, -15, 54, -15, -30, 15, 51, -18, 9, -12, -48, -39, 72, 3, -3, 0, 3, 0, -24, -24, 12, 27, 63, 6, 69, -12, -9, -27, 24, 6, -51, -9, -21, 3, 0, 3, 57, -45, -27, -27, 39, 0, 45, -69, 57, 0, 12, 18, 57, -30, -12, -63, -27, 0, -18, 51, 39, 3, -9, -15, 42, -15, -27, 9, 36, 12, -36, 54, 39, 9, -48, 45, 0, -3, -3, 36, 96, 0, -12, -15, 21, 15, -54, 9, -21, -24, -12, -36, 21, 6, 180, 0, 9, -30, -9, -3, -21, -9, -51, -75, 81, 3, 63, -39, -33, 3, -27, -9, -24, 12, 0, 30, -36, 6, 24, 39, -15, -18, -57, -33, -42, 6, -36, 15, -96, -15, -48, -45, -45, 0, 78, 9, -33, -21, 18, 39, 33, 9, -18, 39, 3, -30, -99, 15, 3, 33, 15, 9, 0, 3, -12, 33, -45, -3, -84, -3, 75, 42, -3, 150, 36, 15, -27, -66, 9, 36, 75, 0, -105, -21, 63, -24, -45, 6, -42, 54, 0, 18, -51, -3, 129, -3, 69, 36, 21, 3, 0, -18, -78, 0, -9, 3, -18, 0, -15, 45, 27, 45, 30, 45, -30, 39, 0, -12, -66, 0, -42, 18, -87, 3, 54, 6, 0, -69, -24, 3, 108, 0, 24, -12, -6, -12, 0, 9, 0, 15, -42, -27, 6, 51, 3, -6, 132, 9, 27, 54, 33, -27, -18, 0, 78, 3, 72, 0, -153, -24, -30, 72, -30, -3, -18, -12, 0, -36, 6, 90, -57, 3, -90, -54, -15, 21, 0, -12, -51, 12, 12, 81, -9, -24, 30, -27, 9, 9, -105, -3, -18, 18, -24, 33, -36, 0, 84, 12, 15, -42, -117, 9, 72, -42, 15, 15, 9, 6, -15, 42, -48, -18, 48, -39, 0, -45, -9, 6, 12, 3, -12, 99, 0, 9, 69, 3, -45, 6, 0, 9, 27, 27, 48, 0, 6, -24, -90, -27, 6, 78, 18, 18, -81, 6, 24, -21, -33, 3, -78, -9, 15, -27, 0, 36, 3, -24, 63, -57, 60, -12, 9, 9, -81, -12, 9, 39, -63, 15, -57, 15, 33, 0, -156, 15, 24, -18, 36, 18, 39, -3, 24, -45, -27, -12, -21, -3, 0, 54, 15, -51, 0, 0, 99, -12, 18, -6, 3, -21, 54, 15, -87, -36, -12, -27, -3, 51, 18, -27, -69, 0, 69, 0, -21, -42, 36, 3, 27, 0, 27, -39, 108, -3, -66, -33, 0, -69, -198, -48, 0, 33, 15, -27, 123, 39, -105, -33, 18, 102, -33, 9, 24, 63, 3, -57, -75, -12, 15, 0, 39, 60, -111, 0, 54, 3, -30, 9, 36, 27, -153, -54, 15, -45, 51, 27, 30, 60, 0, 15, 39, 9, -9, -27, -21, 6, -27, 12, -153, 30, 3, 39, -33, 9, -63, 3, -3, 0, 27, -3, -30, 51, -3, 36, -30, -6, -90, -24, 3, -9, -36, -21, -6, -72, -42, -24, 0, 12, -18, 3, 9, 54, 18, -27, -27, 81, 9, -30, -54, -9, -135, 3, 90, -9, -12, 0, -30, 75, -72, -12, -66, 18, -93, 54, -42, -21, 24, 15, 18, 33, -48, 9, 198, -18, 0, -39, 15, -81, 36, -3, 18, -24, 3, 0, -144, 15, -72, 12, -9, 0, 66, 6, -36, 0, 42, -9, -48, 15, -171, 6, -24, -57, -126, -21, -39, 21, 39, 3, -180, 6, -81, -27, 0, -27, 54, 0, 84, 36, -27, 57, -156, 81, -114, 18, 39, -21, -18, -12, -27, 39, 18, 0, 42, -54, 93, 39, 15, -6, -117, -15, 72, -9, 27, -27, -162, -18, 48, 12, 9, -60, 0, 39, 15, 6, -12, 45, -66, 24, 0, -3, 6, 66, -90, 0, -90, -3, 12, 21, -180, 0, -45, 9, 15, -27, 9, -12, -165, -51, -57, 6, 66, -27, 90, 9, 33, 9, -90, -3, 0, 93, 3, -51, 27, -63, -9, 3, -3, -75, -72, -33, -93, 21, -33, -9, 0, -18, 84, 0, -27, 69, 12, 6, -84, -36, 21, -15, -39, 9, 27, -33, 66, -15, 6, -36, -66, 36, 0, -15, -24, -9, -3, -45, 63, -36, 0, 9, 6, 90, -27, 18, -45, 39, -108, 9, 27, 0, -33, 3, 126, 72, -9, 15, 18, -27, 54, 15, 18, 15, 36, 3, -105, 21, 39, -45, 0, 9, -99, -3, 81, -24, -27, -3, 207, 18, -24, 15, 75, 18, -39, 9, -24, 21, 87, 0, -21, 21, 9, 63, 54, -24, 15, 6, -30, 36, -105, 0, -237, 9, -27, -3, -9, 27, 0, 69, 3, -81, 24, 3, -9, 57, 3, -78, -33, 0, 39, 3, -12, 3, -54, -15, -99, 0, -15, 45, -9, 15, -186, -30, -18, -72, 102, -12, 102, -27, -39, -42, 48, 3, -27, 3, 0, -42, 24, 0, -42, -18, -24, 3, 18, 27, -105, 24, 6, 30, -183, -12, 27, -33, -27, 0, 66, 6, -12, -27, -9, -78, -27, 3, -27, 39, 3, 9, 48, -45, -108, 33, -27, 111, 0, 0, 9, -15, -69, 72, -81, 0, -177, -24, 18, 30, 9, -30, 114, 126, -63, -12, -39, 0, 36, 6, 51, 9, 12, 3, 27, 9, -15, -15, -90, -15, 3, -12, 9, 72, 6, 12, 0, 99, 54, -24, -87, 9, 72, 9, 45, 6, 81, -3, -3, -33, 36, -24, -27, 0, 6, 0, -15, 33, -18, 15, -3, 144, 9, 9, 120, -24, 0, 15, -36, 30, 66, 6, -90, 33, 0, -48, -6, -30, 36, -39, -3, 6, -18, -9, 117, -57, -75, 3, 117, 3, -12, 0, -39, 0, -99, 3, -63, 0, -9, 0, -9, 12, -66, 27, 30, 105, -39, 6, 153, 15, 39, -27, 0, -18, -93, 18, -33, 81, -135, 6, 24, -48, 15, -33, -114, -15, 105, -9, -45, 9, 33, 0, -48, 18, 9, -24, -12, -21, -135, 60, 39, 21, -36, 9, 144, -30, 39, 9, -111, -30, 0, 15, 15, -27, -102, 33, -18, 78, 9, 15, -141, 3, 12, 36, 33, -18, -51, -3, 54, 0, -3, -27, 78, 42, -21, -3, 150, -18, 135, 15, -105, 99, -66, 0, -39, 36, 21, 18, 0, -18, -198, -21, 6, -72, -24, -87, 36, 6, -42, -27, 54, -21, 69, 18, -114, 60, -3, 0, 27, -3, -33, -21, 36, 99, -138, 3, -75, 66, -18, 27, 6, 0, 9, -3, 3, -114, 0, 0, 9, 93, 45, -48, 75, 45, -48, 15, 45, -99, 189, 39, 117, 6, -12, 18, 75, 0, -150, 9, 18, 30, 249, 3, 6, 90, 6, -12, -39, -69, 0, 39, 3, 21, 36, 0, 0, 6, -12, -30, -27, -12, -69, 27, 9, 33, -36, 15, -60, 30, -27, 27, 210, 51, -138, 0, -6, 3, 93, 9, 18, 90, 54, -21, 3, -27, -84, 12, 0, -42, 69, 3, -147, -18, 0, 9, -33, -24, -90, -3, 72, 120, -123, -3, 63, 99, -12, -3, 129, -36, 9, -6, 90, 0, -93, 3, 99, -12, -54, -21, -9, 21, -204, -42, -12, -117, 48, 12, 81, -105, 81, 9, 0, -24, 27, -27, -27, -6, -18, 9, 12, -66, -3, -9, 63, 18, 177, 90, 33, -54, 63, 0, -132, 84, 12, -72, -72, -42, 57, 18, 9, -39, 105, -42, -9, 0, 15, 15, 105, 6, 0, -48, 42, 6, -135, -18, 12, -45, -39, 15, 135, -45, 57, -3, 6, 27, -51, 3, 69, 0, 99, 15, -165, 9, -9, -9, 3, -75, -75, 6, 27, 21, 9, 42, -6, 27, -30, 15, 0, 24, 9, -24, -63, 3, -27, -21, 33, 78, 147, 39, 18, -63, -42, 6, 156, -27, -21, 0, -21, 3, 18, 0, -9, 57, 108, -27, 9, 87, 36, 81, 57, -24, -66, 39, -57, 54, 0, -12, 30, 87, 9, 18, 18, -12, 84, -54, 39, -90, 63, 15, 72, 12, 15, -15, 9, 0, 75, 27, 15, -39, 18, -18, -33, 9, 18, 9, 78, -3, -30, 39, -45, -33, -51, -12, 0, 45, -3, 24, -42, 54, -36, 6, -51, 81, 99, 0, 27, 24, -12, 12, 99, -6, 51, 0, -21, -153, 75, 15, 12, -51, -36, -12, 45, -27, 0, -57, 51, 3, 18, -27, 117, -30, 0, 33, 87, 0, -12, -3, -42, -45, -72, 3, 186, 45, 0, -63, -180, -39, -45, -3, -3, 0, -3, -33, 66, -72, -69, -33, -48, -48, 27, -18, 33, 39, 51, -27, 33, -24, 39, 6, 0, -33, -51, 21, 102, -12, 42, 9, 195, -51, 63, 66, -159, -57, -3, -36, -12, -30, -30, 0, 126, -96, 60, -9, 168, 0, -84, 63, 3, 45, -135, 9, -120, 117, 27, -27, 21, -54, 0, 39, -45, -48, 153, 27, 120, -63, 60, 3, 72, 15, 27, -9, 9, -63, -3, -27], "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.d", "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], [0, -1, -1], [1, 0, 0], [-1, -1, 0], [1, 0, 0], [1, 0, 0], [0, -1, -1], [0, -1, 1], [1, 0, 0], [2, -1, 1], [-1, -1, 0], [0, -1, -1], [1, 0, 0], [2, 1, 2], [1, 0, 0], [0, 0, 0], [0, -1, -1], [-1, -1, 0], [0, -1, 1], [2, 5, -3], [1, 0, 0], [1, 3, 0], [2, -1, 1], [1, 0, 0], [-1, -1, 0], [2, -2, -3], [0, -1, -1], [3, 0, -3], [1, 0, 0], [0, -1, 1], [2, 1, 2], [3, 2, 2], [1, 0, 0], [3, 6, -2], [0, 0, 0], [2, -1, 1], [0, -1, -1], [3, -3, 4], [-1, -1, 0], [5, 1, -3], [0, -1, 1], [0, -1, -1], [2, 5, -3], [1, 0, 3], [1, 0, 0], [-4, 2, 1], [1, 3, 0], [2, 1, 2], [2, -1, 1], [-1, 6, -8], [1, 0, 0], [0, -1, 2], [-1, -1, 0], [0, 0, 0], [2, -2, -3], [-4, -3, 6], [0, -1, -1], [-11, 0, -1], [3, 0, -3], [-1, -1, 0], [1, 0, 0], [0, -3, 0], [0, -1, 1], [4, -4, 3], [2, 1, 2], [2, 5, -3], [3, 2, 2], [5, 7, -1], [1, 0, 0], [1, 2, 5], [3, 6, -2], [1, 3, 0], [0, 0, 0], [1, 0, 0], [2, -1, 1], [5, -5, 10], [0, -1, -1], [1, 0, 0], [3, -3, 4], [9, -1, 3], [-1, -1, 0], [-9, -7, -1], [5, 1, -3], [2, -2, -3], [0, -1, 1], [-5, -4, 7], [0, -1, -1], [-1, -2, 0], [2, 5, -3], [3, 0, -3], [1, 0, 3], [0, 0, 0], [1, 0, 0], [-4, 1, -1], [-4, 2, 1], [0, -1, 1], [1, 3, 0]]}