# Stored data for newform 3234.2.a.bh, downloaded from the LMFDB on 19 April 2024.
{"label": "3234.2.a.bh", "space_label": "3234.2.a", "level": 3234, "weight": 2, "hecke_orbit": 34, "hecke_orbit_code": 148618787736784034, "dim": 3, "is_polredabs": true, "nf_label": "3.3.2700.1", "trace_hash": 1672934771065585344, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [20, -15, 0, 1]], [13, [0, 1]], [17, [-139, -57, 3, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}-\\beta _{1}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": 12936, "fricke_eigenval": -1, "atkin_lehner_string": "---+", "analytic_conductor": 25.823620013682078, "hecke_ring_index": 1, "level_radical": 462, "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": "0.023", "prec": 17}, "analytic_rank_proved": true, "char_values": [3234, 1, [1079, 199, 2059], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7, 11], "conrey_indexes": [1], "field_disc": 2700, "field_disc_factorization": [[2, 2], [3, 3], [5, 2]], "field_poly": [-20, -15, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.045", "prec": 17}, {"__RealLiteral__": 0, "data": "2.881", "prec": 17}, {"__RealLiteral__": 0, "data": "0.259", "prec": 17}, {"__RealLiteral__": 0, "data": "21.469", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "233.331", "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], [7, -1], [11, 1]], "trace_display": [3, 3, 0, 0], "traces": [0, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0, -3, 3, 0, 0, 0, 3, -3, 3, 9, 0, 0, -3, 3, 3, 15, 0, 3, 0, 9, 0, 6, 3, -3, -3, 0, 3, 21, 9, 0, 0, -12, 0, 3, -3, 0, 3, -3, 3, 0, 15, -3, 0, 24, 3, 0, 0, 9, 9, 9, 0, 6, 6, 0, 3, 0, -3, 6, -3, 3, 0, 9, 3, 0, 21, 15, 9, 0, 0, 12, 0, 3, -12, -18, 0, 0, 3, 9, -3, 12, 0, 0, 3, 6, -3, 0, 3, -21, 0, -3, 15, -9, -3, 12, 0, 0, 24, 0, 3, -18, 0, 21, 0, 12, 9, -30, 9, 0, 9, 0, 0, 3, 6, -12, 6, -60, 0, -9, 3, 3, 0, -18, -3, 0, 6, 0, -3, 0, 3, -33, 0, -3, 9, 0, 3, 60, 0, 0, 21, 27, 15, -3, 9, -3, 0, 0, 0, -3, 12, 24, 0, 0, 3, 36, -12, 0, -18, -12, 0, -39, 0, 9, 3, -30, 9, 0, -3, 9, 12, 27, 0, -30, 0, 6, 3, 0, 6, 3, -3, 0, 0, -24, 3, -6, -21, 0, 0, -27, -3, -12, 15, 6, -9, 0, -3, 60, 12, 3, 0, -9, 0, -12, 24, 9, 0, 0, 3, 0, -18, 0, 0, 0, 21, 0, 0, 15, 12, -12, 9, 30, -30, 0, 9, -15, 0, -30, 9, 12, 0, -12, 0, 0, 3, 3, 6, 0, -12, 0, 6, -18, -60, -21, 0, -3, -9, 0, 3, 24, 3, 0, 0, 9, -18, 6, -3, 0, 0, 12, 6, -18, 0, 0, -3, 0, 0, -15, 3, -48, -33, 6, 0, -3, -3, 36, 9, 0, 0, 0, 3, 72, 60, -21, 0, -51, 0, -60, 21, -3, 27, 0, 15, 0, -3, -9, 9, 30, -3, 24, 0, 12, 0, 3, 0, 21, -3, 0, 12, -12, 24, -9, 0, 0, 0, -69, 3, 0, 36, -18, -12, 0, 0, -24, -18, 21, -12, -60, 0, -6, -39, 12, 0, -6, 9, 0, 3, -30, -30, 6, 9, 12, 0, 0, -3, 0, 9, 0, 12, 0, 27, -42, 0, 0, -30, 3, 0, -60, 6, 36, 3, -12, 0, 0, 6, -42, 3, -60, -3, 0, 0, 0, 0, -9, -24, -21, 3, 0, -6, 3, -21, 36, 0, 57, 0, -18, -27, 30, -3, 69, -12, 0, 15, 18, 6, 0, -9, 0, 0, -21, -3, -18, 60, 0, 12, 0, 3, -60, 0, -33, -9, 69, 0, 57, -12, -3, 24, -75, 9, 0, 0, 0, 0, -60, 3, -27, 0, 60, -18, -21, 0, -3, 0, 0, 0, -39, 21, -60, 0, 27, 0, 0, 15, 12, 12, -3, -12, 0, 9, -6, 30, -3, -30, -27, 0, -12, 9, 0, -15, -9, 0, 0, -30, -3, 9, -3, 12, 75, 0, 24, -12, -6, 0, 0, 0, 0, 3, 0, 3, -12, 6, 36, 0, 90, -12, 51, 0, 0, 6, 0, -18, -6, -60, -12, -21, -18, 0, -120, -3, -39, -9, 12, 0, 0, 3, 9, 24, 0, 3, 3, 0, -30, 0, 54, 9, -12, -18, 0, 6, -126, -3, -6, 0, 9, 0, 0, 12, -60, 6, 27, -18, 0, 0, 0, 0, -30, -3, 30, 0, 21, 0, 6, -15, -3, 3, 0, -48, 0, -33, 27, 6, 0, 0, 3, -3, -24, -3, 0, 36, 0, 9, -15, 0, -15, 0, -24, 0, 45, 3, -24, 72, -6, 60, 0, -21, -24, 0, 0, -51, 48, 0, 78, -60, -27, 21, -27, -3, 0, 27, -12, 0, -60, 15, 30, 0, 6, -3, 0, -9, 36, 9, 0, 30, 0, -3, 48, 24, 60, 0, 18, 12, -12, 0, 3, 3, 0, 0, 75, 21, -9, -3, -81, 0, -48, 12, -12, -12, -30, 24, 0, -9, 9, 0, 42, 0, 42, 0, 0, -69, 12, 3, -9, 0, 0, 36, 0, -18, 0, -12, 0, 0, -36, 0, -3, -24, 0, -18, 0, 21, -21, -12, 0, -60, -6, 0, -12, -6, 15, -39, -21, 12, 0, 0, -12, -6, 15, 9, 60, 0, 30, 3, 0, -30, 60, -30, 0, 6, -60, 9, -48, 12, -15, 0, -9, 0, 93, -3, -30, 0, 0, 9, 15, 0, 12, 12, -54, 0, 0, 27, -12, -42, 33, 0, 0, 0, 0, -30, -105, 3, 90, 0, 3, -60, -183, 6, -66, 36, 0, 3, -6, -12, -24, 0, 0, 0, -18, 6, 120, -42, -18, 3, 0, -60, -18, -3, -21, 0, 90, 0, -15, 0, -3, 0, 0, -9, 0, -24, 0, -21, 0, 3, -6, 0, 24, -6, -18, 3, 90, -21, 0, 36, -6, 0, -9, 57, 9, 0, -120, -18, -87, -27, 6, 30, 0, -3, 0, 69, 0, -12, -18, 0, -57, 15, 12, 18, 0, 6, 0, 0, -18, -9, 48, 0, 48, 0, 0, -21, -60, -3, 99, -18, 0, 60, 6, 0, 18, 12, -15, 0, 36, 3, -57, -60, -48, 0, 0, -33, -180, -9, 6, 69, 0, 0, 90, 57, -3, -12, 0, -3, 0, 24, 36, -75, -9, 9, 84, 0, 0, 0, 21, 0, -30, 0, 0, -60, -12, 3, 0, -27, 72, 0, -12, 60, 0, -18, -21, -21, 0, 0, 24, -3, -51, 0, 0, 0, -12, 0, -60, -39, -36, 21, 0, -60, -3, 0, 21, 27, -120, 0, 0, 0, -42, 15, -24, 12, 0, 12, 60, -3, -18, -12, -9, 0, 15, 9, 18, -6, 30, 30, 0, -3, 57, -30, 24, -27, 0, 0, 135, -12, 12, 9, 90, 0, 0, -15, 3, -9, 0, 0, 96, 0, 21, -30, -69, -3, -102, 9, 0, -3, 33, 12, 0, 75, -12, 0, 12, 24, 60, -12, -9, -6, 0, 0, 39, 0, 0, 0, -60, 0, -69, 3, -69, 0, -36, 3, 0, -12, 0, 6, 36, 36, -12, 0, -18, 90, 33, -12, 0, 51, 0, 0, -87, 0, 72, 6, -24, 0, 120, -18, 48, -6, 21, -60, 0, -12, -69, -21, -60, -18, 72, 0, -60, -120, -6, -3, -54, -39, 0, -9, 12, 12, -60, 0, -42, 0, -6, 3, -150, 9, 0, 24, 0, 0, 90, 3, 108, 3, -30, 0, 114, -30, -84, 0, 6, 54, 0, 9, 0, -12, 12, -18, -18, 0, 99, 6, 0, -126, -180, -3, 0, -6, 0, 0, 78, 9, -12, 0, 0, 0, 21, 12, 72, -60, 0, 6, 33, 27, 105, -18, -42, 0, 0, 0, -3, 0, 0, 0, 0, -30, -24, -3, 3, 30, -36, 0, -87, 21, -60, 0, -87, 6, 0, -15, 36, -3, -9, 3, 0, 0, -12, -48, 12, 0, 9, -33, 0, 27, -60, 6, 84, 0, -42, 0, 57, 3, -30, -3, -60, -24, 0, -3, -12, 0, 0, 36, -12, 0, -60, 9, 0, -15, 54, 0, 0, -15, -9, 0, 60, -24, 102, 0, -21, 45, 42, 3, 57, -24, 0, 72, 0, -6, -42, 60, 3, 0, -48, -21, 120, -24, 36, 0, 0, 0, 126, -51, 57, 48, 75, 0, 0, 78, -18, -60, -30, -27, 0, 21, 30, -27, -54, -3, 54, 0, 69, 27, 18, -12, -60, 0, 0, -60, 18, 15, -24, 30, 18, 0, 120, 6, 171, -3, 0, 0, 0, -9, 15, 36, 0, 9, -102, 0, 24, 30, -21, 0, -150, -3, 0, 48, -18, 24, -18, 60, -81, 0, 0, 18, 0, 12, 78, -12, 0, 0, 120, 3, -12, 3, -60, 0, -81, 0, 48, 75, -33, 21, 0, -9, -120, -3, 69, -81, 21, 0, 0, -48, 57, 12, 30, -12, 0, -12, -3, -30, 36, 24, -12, 0, -75, -9, -36, 9, 12, 0, 0, 42, 48, 0, 60, 42, 0, 0, -36, 0, -90, -69, -60, 12, 0, 3, -6, -9, -27, 0, 60, 0, 12, 36, 60, 0, -48, -18, 0, 0, -21, -12, 0, 0, -60, 0, -3, -36, 72, 0, -15, -3, 0, -24, 120, 0, 96, -18, -39, 0, -3, 21, 186, -21, -60, -12, 0, 0, 0, -60, 27, -6, -12, 0, 90, -12, 0, -6, -63, 15, 0, -39, 12, -21, -60, 12, 39, 0, -3, 0, 48, -12, -99, -6, 0, 15, -72, 9, 66, 60, -6, 0, 42, 30, 60, 3, -3, 0, 0, -30, 42, 60, -27, -30, 0, 0, -60, 6, -12, -60, 0, 9, 0, -48, 0, 12, 9, -15, -33, 0, -9, -9, 36, 0, 120, 93, 0, -3, 42, -30, 78, 0, -3, 0, -60, 9, 0, 15, -3, 0, 0, 12, -114, 12, 75, -54, 18, 0, -60, 0, 24, 27, -6, -12, 0, -42, -6, 33, 27, 0, 18, 0, 0, 0, 240, 0, -33, -30, 0, -105, -36, 3, 57, 90, 0, 0, 54, 3, -39, -60, -12, -183, 0, 6, 60, -66, 36, 36, 0, 0, 93, 3, 90, -6, 195, -12, 0, -24, 51, 0, 3, 0, -144, 0, 0, -18, -144, 6, -135, 120, 0, -42, 66, -18, 0, 3, -6, 0, 36, -60, 36, -18, -12, -3, 0, -21, 0, 0, -18, 90, 60, 0, -12, -15, -120, 0, -54, -3, 0, 0, -39, 0, -9, -9, -90, 0, 12, -24, 33, 0, 120, -21, 0, 0, 0, 3, 72, -6, 9, 0, 96, 24, 42, -6, 0, -18, 0, 3, 75, 90, 3, -21, 9, 0, -90, 36, -30, -6, 120, 0, 0, -9, 54, 57, 60, 9, 36, 0, -12, -120, 3, -18, 0, -87, 0, -27, -84, 6, -21, 30, -126, 0, -192, -3, 90, 0, -6, 69, 0, 0, 111, -12, 9, -18, -60, 0, -36, -57, 0, 15, 105, 12, 0, 18, -60, 0, -81, 6, -96, 0, 27, 0, -30, -18, -120, -9, 0, 48, 30, 0, 42, 48, 0, 0, 0, 0, 57, -21, -30, -60, 0, -3, 99, 99, 30, -18, 66, 0, -27, 60, 21, 6, 48, 0, 0, 18, 6, 12, 21, -15, 0, 0, -3, 36, 60, 3, 168, -57, 0, -60, 3, -48, 12, 0, 0, 0, 126, -33, 108, -180, 27, -9, 0, 6, 120, 69, 0, 0, 120, 0, 75, 90, 3, 57, -180, -3, 0, -12, -24, 0, 36, -3, 42, 0, 0, 24, 90, 36, -30, -75, 0, -9, 0, 9, 0, 84, -15, 0, -54, 0, -123, 0, -15, 21, 0, 0, -51, -30, -24, 0, -78, 0, -33, -60, 45, -12, 3, 3, 0, 0, -24, -27, 42, 72, -60, 0, -6, -12, 9, 60, -27, 0, 0, -18, -90, -21, 78, -21, -24, 0, 108, 0, 6, 24, 0, -3, 0, -51, -117, 0, 48, 0, 78, 0, 60, -12, 78, 0, 138, -60, 0, -39, -27, -36, -45, 21, 6, 0, -27, -60, 0, -3, -102, 0, 0, 21, 81, 27, -90, -120, -12, 0, -36, 0, 0, 0, -60, -42, 0, 15, 102, -24, 30, 12, 60, 0, 0, 12, 6, 60, 36, -3, 0, -18, 0, -12, -18, -9, -180, 0, 36, 15, 78, 9, 60, 18, 0, -6, 78, 30, 60, 30, 0, 0, 60, -3, 12, 57, 48, -30, 0, 24, -63, -27, 60, 0, -6, 0, 144, 135, 18, -12, 138, 12, 0, 9, -12, 90, 39, 0, 66, 0, 3, -15, 90, 3, -51, -9, 0, 0, 129, 0, 18, 96, 75, 0, 33, 21, -132, -30, -9, -69, 0, -3, 0, -102, -81, 9, -15, 0, -108, -3, -48, 33, 60, 12, 0, 0, -12, 75, -54, -12, 30, 0, -30, 12, 39, 24, 72, 60, 0, -12, 12, -9, 120, -6, 9, 0, 3, 0, -132, 39, 42, 0, 0, 0, -18, 0, 42, -60, 168, 0, -18, -69, 0, 3, 0, -69, 0, 0, 12, -36, -72, 3, -90, 0, -9, -12, -30, 0, -96, 6, 0, 36, 210, 36, -24, -12, 0, 0, 168, -18, 0, 90, 0, 33, 0, -12, -27, 0, 0, 51, -54, 0, 0, 0, -36, -87, -36, 0, 0, 72, -3, 6, 60, -24, -51, 0, 0, 120, 30, -18, -18, 48, 0, -6, 39, 21, 75, -60, -21, 0, 51, -12, -180, -69, 0, -21, 0, -60, 48, -18, -6, 72, 0, 0, -120, -60, -12, -120, 87, -6, 0, -3, 15, -54, 12, -39, -33, 0, -21, -9, 90, 12, 0, 12, 0, -60, -45, 0, 0, -42, -12, 0, -60, -6, 72, 3, 15, -150, 0, 9, -30, 0, 60, 24, -3, 0, 117, 0, 30, 90, 42, 3, 0, 108, 0, 3, -114, -30, -114, 0, 60, 114, 0, -30, -48, -84, 0, 0, 33, 6, -102, 54, -60, 0, 48, 9, 30, 0, -48, -12, 0, 12, 0, -18, -15, -18, -81, 0, 24, 99, -9, 6, 0, 0, 0, -126, 93, -180, -90, -3, -33, 0, -30, -6, -60, 0, 0, 0, 0, 78, 6, 9, 60, -12, 15, 0, -99, 0, 27, 0, 12, 21, 0, 12, 135, 72, -54, -60, 45, 0, -120, 6, 0, 33, 96, 27, 0, 105, -12, -18, 15, -42, 60, 0, 33, 0, 69, 0, 114, -3, 0, 0, 0, 0, 27, 0, 0, 0, 0, -30, -96, -24, -105, -3, 0, 3, 18, 30, 90, -36, 93, 0, -180, -87, 3, 21, 12, -60, 0, 0, -183, -87, -210, 6, 0, 0, -66, -15, -162, 36, -90, -3, 0, -9, 42, 3, -78, 0, -6, 0, 54, -12, -60, -48, -24, 12, 0, 0, -36, 9, 0, -33, 180, 0, 138, 27, -18, -60, -21, 6, 0, 84, 120, 0, 84, -42, 15, 0, -18, 57, -42, 3, -60, -30, 0, -3, 0, -60, 84, -24, -18, 0, -60, -3, -18, -12, -21, 0, 0, 0, -120, 36, 90, -12, 84, 0, -57, -60, -15, 9, 21, 0, 0, -15, -3, 54, 24, 0, -21, 0, 0, -15, 120, -9, -57, 0, 0, 60, 96, -24, 42, 102, 0, 0, 108, -21, 9, 45, 0, 42, 0, 3, 60, 57, -6, -24, 45, 0, 60, 72, 24, 0, 60, -6, 0, -42, -18, 60, 12, 3, 81, 0, 90, -48, 0, -21, 0, 120, 0, -24, 72, 36, -60, 0, -6, 0, 120, 0, -123, 126, -9, -51, 0, 57, 66, 48, 9, 75, 6, 0, 0, 0, -120, 78, 6, -18, 0, -60, -87, -30, -27, -27, 0, 0, 6, 21, 72, 30, -153, -27, 0, -54, -180, -3, -45, 54, 0, 0, 90, 69, -39, 27, 0, 18, 0, -12, -78, -60, -18, 0, 99, 0, 60, -60, -57, 18, 84, 15, 0, -24, 12, 30, 0, 18, -144, 0, 0, 120, -90, 6, -57, 171, 0, -3, 81, 0, -126, 0, -18, 0, -84, -9, -105, 15, 48, 36, 0, 0, 0, 9, 48, -102, 180, 0, 66, 24, 0, 30, 87, -21, 0, 0, -60, -150, 96, -3, 24, 0, 99, 48, 0, -18, -60, 24, 0, -18, -30, 60, -30, -81, 6, 0, -60, 0, -144, 18, 18, 0, 0, 12, 123, 78, -15, -12, -75, 0, 12, 0, 36, 120, 0, 3, 0, -12, -57, 3, -114, -60, -24, 0, -48, -81, 0, 0, 12, 48, 0, 75, -24, -33, -84, 21, -180, 0, 12, -9, 0, -120, 6, -3, 0, 69, 180, -81, 0, 21, -30, 0, 96, 0, 90, -48, 225, 57, 0, 12, -3, 30, -21, -12, 33, 0, 0, -12, 99, -3, 114, -30, 0, 36, -78, 24, -240, -12, 36, 0, -138, -75, 12, -9, -9, -36, 0, 9, 153, 12, 84, 0, 0, 0, 15, 42, 0, 48, -57, 0, 0, 60, 21, 42, -96, 0, 0, 0, -30, -36, -57, 0, -84, -90, 0, -69, 30, -60, 0, 12, -12, 0, -24, 3, 168, -6, 0, -9, 0, -27, -48, 0, 72, 60, 0, 0, 0, 12, -12, 36, -168, 60, 0, 0, 0, -48, -180, -18, 144, 0, -21, 0, -144, -21, -174, -12, 0, 0, -27, 0, 12, -60, 24, 0, -180, -3, -240, -36, -51, 72, 0, 0, -69, -15, 0, -3, 0, 0, -156, -24, -12, 120, 0, 0, 0, 96, -60, -18, 69, -39, -81, 0, -36, -3, -36, 21, 0, 186, 0, -21, -177, -60, 114, -12, -3, 0, 210, 0, -93, 0, 21, -60, 0, 27, -81, -6, -120, -12, 21, 0, -27, 90, 0, -12, -90, 0, 0, -6, -42, -63, 57, 15, -60, 0, -24, -39, 30, 12, 156, -21, 0, -60, 123, 12, -72, 39, 60, 0, 0, -3, 3, 0, -18, 48, 0, -12, -210, -99, -9, -6, 12, 0, -6, 15, 15, -72, 240, 9, 0, 66, 18, 60, -51, -6, 0, 0, 30, 42, -174, 30, 42, 60, 0, 3, -48, -3, 180, 0, 57, 0, 24, -30, 21, 42, 24, 60, 0, -27, -168, -30, 0, 0, 144, 0, 81, -60, 135, 6, -54, -12, 0, -60, 12, 0, 3, 9, 120, 0, 90, -48, -63, 0, 132, 12, 0, 9, 0, -15, -87, -33, 3, 0, 45, -9, 12, -9, 0, 36, 0, 0, 33, 120, 96, 93, -63, 0, -240, -3, 21, 42, 153, -30, 0, 78, -69, 0, 120, -3, -24, 0, -102, -60, 51, 9, 30, 0, 0, 15, -81, -3, -108, 0, 33, 0, -27, 12, 180, -114, 0, 12, 0, 75, 15, -54, -12, 18, 60, 0, 12, -60, 12, 0, -66, 24, 0, 27, 60, -6, -96, -12, 21, 0, -9, -42, 39, -6, -210, 33, 0, 27, 54, 0, -84, 18, 39, 0, 60, 0, -54, 0, 0, 240, 0, 0, -6, -33, -60, -30, -42, 0, 0, -105, -69, -36, -78, 3, 0, 57, -69, 90, 90, 0, -126, 0, -36, 54, 0, 3, 24, -39, 0, -60, 51, -12, 84, -183, 0, 0, -195, 6, -297, 60, 36, -66, 0, 36, 60, 36, -12, 0, 174, 0, 150, 93, -18, 3, 120, 90, 0, -6, 33, 195, 0, -12, 105, 0, 0, -24, 48, 51, 18, 0, 0, 3, -60, 0, -180, -144, -87, 0, 63, 0, 6, -18, 72, -144, 0, 6, 0, -135, -24, 120, 0, 0, 81, -42, 120, 66, 96, -18, 0, 0, 48, 3, -180, -6, -210, 0, 21, 36, 42, -60], "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": "462.2.i.g", "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, 0], [1, 0, 0], [0, 0, 0], [1, 0, 0], [1, 0, 0], [0, -1, 0], [-1, 0, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0], [0, -1, 0], [1, 0, 0], [-1, 0, -2], [1, 0, 0], [3, 0, 1], [0, -1, 0], [0, 0, 0], [-1, 0, 0], [1, 1, -1], [1, 0, 0], [5, 2, 1], [0, 0, 0], [1, 0, 0], [0, 0, 0], [3, -2, -1], [0, -1, 0], [2, 0, 2], [1, 0, 0], [-1, 0, 0], [-1, 0, -2], [0, 0, 0], [1, 0, 0], [7, 0, 1], [3, 0, 1], [0, 0, 0], [0, -1, 0], [-4, -2, 1], [0, 0, 0], [1, 0, 3], [-1, 0, 0], [0, -1, 0], [1, 1, -1], [-1, 1, 1], [1, 0, 0], [0, 0, 0], [5, 2, 1], [-1, 0, -2], [0, 0, 0], [8, 0, 0], [1, 0, 0], [0, 1, 0], [0, 0, 0], [3, 0, 1], [3, -2, -1], [3, 2, 1], [0, -1, 0], [2, -1, -2], [2, 0, 2], [0, 0, 0], [1, 0, 0], [0, 0, 0], [-1, 0, 0], [2, 2, -1], [-1, 0, -2], [1, 1, -1], [0, 0, 0], [3, 0, -3], [1, 0, 0], [0, 2, -2], [7, 0, 1], [5, 2, 1], [3, 0, 1], [0, 0, 0], [0, 0, 0], [4, -1, 0], [0, -1, 0], [1, 0, 0], [-4, -2, 1], [-6, 2, -1], [0, 0, 0], [0, 3, -4], [1, 0, 3], [3, -2, -1], [-1, 0, 0], [4, 2, 0], [0, -1, 0], [0, 0, 0], [1, 1, -1], [2, 0, 2], [-1, 1, 1], [0, -4, 2], [1, 0, 0], [-7, 0, 0], [0, 0, 0], [-1, 0, 0], [5, 2, 1]]}