# Stored data for newform 6042.2.a.o, downloaded from the LMFDB on 19 April 2024.
{"label": "6042.2.a.o", "space_label": "6042.2.a", "level": 6042, "weight": 2, "hecke_orbit": 15, "hecke_orbit_code": 63050394816747418, "dim": 2, "is_polredabs": true, "nf_label": "2.2.33.1", "trace_hash": 1985897559509946660, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [-6, 3, 1]], [7, [-1, 1]], [11, [4, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}+(-1-\\beta )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": 24168, "fricke_eigenval": 1, "atkin_lehner_string": "-+-+", "analytic_conductor": 48.24561290125761, "hecke_ring_index": 1, "level_radical": 6042, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [6042, 1, [2015, 4771, 2281], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 19, 53], "conrey_indexes": [1], "field_disc": 33, "field_disc_factorization": [[3, 1], [11, 1]], "field_poly": [-8, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.922", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.296", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "63.839", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [19, -1], [53, 1]], "trace_display": [2, -2, -3, 2], "traces": [0, 2, 2, -2, 2, -3, -2, 2, 2, 2, -3, -8, -2, -3, 2, 3, 2, 7, 2, 2, -3, -2, -8, 3, -2, 11, -3, -2, 2, -8, 3, -14, 2, 8, 7, -3, 2, 9, 2, 3, -3, -12, -2, 15, -8, -3, 3, -3, -2, -12, 11, -7, -3, -2, -2, 12, 2, -2, -8, 16, 3, -5, -14, 2, 2, -12, 8, -1, 7, -3, -3, -19, 2, 8, 9, -11, 2, -8, 3, -16, -3, 2, -12, 25, -2, 6, 15, 8, -8, -21, -3, -3, 3, 14, -3, -3, -2, -28, -12, -8, 11, -6, -7, 13, -3, 3, -2, -12, -2, 3, 12, -9, 2, 13, -2, -21, -8, -3, 16, 7, 3, 10, -5, 12, -14, -51, 2, -8, 2, -15, -12, -16, 8, 2, -1, 3, 7, -3, -3, -7, -3, 3, -19, 12, 2, -21, 8, 12, 9, 0, -11, -20, 2, 7, -8, 21, 3, 19, -16, 2, -3, 3, 2, 17, -12, -12, 25, -1, -2, -5, 6, 2, 15, -26, 8, 11, -8, -16, -21, -12, -3, -9, -3, 5, 3, -30, 14, -28, -3, -2, -3, -42, -2, -15, -28, 12, -12, 8, -8, 10, 11, 1, -6, -8, -7, 18, 13, 3, -3, -8, 3, -1, -2, 19, -12, -39, -2, -14, 3, -8, 12, -27, -9, 20, 2, 11, 13, 9, -2, 1, -21, 8, -8, 20, -3, 54, 16, 16, 7, 2, 3, -20, 10, -2, -5, 18, 12, -3, -14, -25, -51, 17, 2, -12, -8, -6, 2, 13, -15, 9, -12, -8, -16, -39, 8, 3, 2, 21, -1, -45, 3, 29, 7, 3, -3, -44, -3, -8, -7, -14, -3, 1, 3, 23, -19, 3, 12, -12, 2, 7, -21, 28, 8, -39, 12, -57, 9, 8, 0, 12, -11, 15, -20, 6, 2, 24, 7, 41, -8, -13, 21, -3, 3, -34, 19, -3, -16, 28, 2, 32, -3, 12, 3, 7, 2, 33, 17, -3, -12, -3, -12, -14, 25, 9, -1, -15, -2, 18, -5, -13, 6, 56, 2, -26, 15, 21, -26, -12, 8, -29, 11, 3, -8, -24, -16, 12, -21, -7, -12, -7, -3, 2, -9, -10, -3, -12, 5, -15, 3, -12, -30, -2, 14, 41, -28, 51, -3, 45, -2, 18, -3, 8, -42, 38, -2, 12, -15, 15, -28, -52, 12, -6, -12, 16, 8, 24, -8, -7, 10, -2, 11, 1, 1, 21, -6, -3, -8, -36, -7, -20, 18, 3, 13, 16, 3, -54, -3, 7, -8, -28, 3, -7, -1, -3, -2, -11, 19, -5, -12, -12, -39, 7, -2, 20, -14, 21, 3, 3, -8, -22, 12, -12, -27, 23, -9, 15, 20, 0, 2, -20, 11, 48, 13, 20, 9, -12, -2, 6, 1, -7, -21, 18, 8, 2, -8, -21, 20, -30, -3, -1, 54, -19, 16, -60, 16, 11, 7, -2, 2, -65, 3, 3, -20, -3, 10, 42, -2, -22, -5, -17, 18, 1, 12, -61, -3, 12, -14, -19, -25, -43, -51, 1, 17, -15, 2, 75, -12, 5, -8, 48, -6, 8, 2, -2, 13, -69, -15, 12, 9, 26, -12, -18, -8, -25, -16, -11, -39, -49, 8, -25, 3, 16, 2, 18, 21, -15, -1, 12, -45, 48, 3, -7, 29, 9, 7, -87, 3, -53, -3, -5, -44, -8, -3, -16, -8, 30, -7, 28, -14, -6, -3, 28, 1, 4, 3, -3, 23, 2, -19, 7, 3, -8, 12, 42, -12, 66, 2, 7, 7, 15, -21, 25, 28, 8, 8, -12, -39, 60, 12, -14, -57, -8, 9, -25, 8, 6, 0, -10, 12, 16, -11, 0, 15, -1, -20, -15, 6, -22, 2, 8, 24, -45, 7, 11, 41, -18, -8, -20, -13, 41, 21, -3, -3, -21, 3, 104, -34, 8, 19, 15, -3, -14, -16, 1, 28, 111, 2, 18, 32, -19, -3, 0, 12, -5, 3, 39, 7, -40, 2, -64, 33, 14, 17, 44, -3, 90, -12, 8, -3, -18, -12, 30, -14, 27, 25, -3, 9, 21, -1, -20, -15, 20, -2, 12, 18, -11, -5, 4, -13, -28, 6, -9, 56, 61, 2, 21, -26, -1, 15, 3, 21, 57, -26, -8, -12, 60, 8, -42, -29, -20, 11, -30, 3, 9, -8, -54, -24, -6, -16, -3, 12, -16, -21, -21, -7, 48, -12, -2, -7, -47, -3, 13, 2, 20, -9, 55, -10, -24, -3, 2, -12, 36, 5, 51, -15, -18, 3, 4, -12, 80, -30, 3, -2, 66, 14, 0, 41, 25, -28, -12, 51, 76, -3, -17, 45, 63, -2, -45, 18, 12, -3, -6, 8, 3, -42, 6, 38, 9, -2, -52, 12, -13, -15, 0, 15, -77, -28, -9, -52, -12, 12, 76, -6, 8, -12, -12, 16, 63, 8, 39, 24, 13, -8, -9, -7, -3, 10, 10, -2, 39, 11, -21, 1, -32, 1, -21, 21, 45, -6, -3, -3, 65, -8, -29, -36, -9, -7, 15, -20, -3, 18, 6, 3, -49, 13, 44, 16, -54, 3, 9, -54, 8, -3, -42, 7, 84, -8, 14, -28, -21, 3, 40, -7, -1, -1, 57, -3, 10, -2, -23, -11, 30, 19, 9, -5, -3, -12, 99, -12, 76, -39, 12, 7, 17, -2, 72, 20, -7, -14, 64, 21, 18, 3, -28, 3, -51, -8, -29, -22, 39, 12, -65, -12, 66, -27, 57, 23, 55, -9, -8, 15, -8, 20, -3, 0, -48, 2, -12, -20, 56, 11, -7, 48, -15, 13, 129, 20, -48, 9, -6, -12, 37, -2, -100, 6, -24, 1, -16, -7, 72, -21, -41, 18, 45, 8, 99, 2, 13, -8, -21, -21, -12, 20, 3, -30, -24, -3, -22, -1, 34, 54, 9, -19, -18, 16, 3, -60, -56, 16, -12, 11, -28, 7, 33, -2, 96, 2, -32, -65, -3, 3, 36, 3, -12, -20, -60, -3, -71, 10, -7, 42, 72, -2, -7, -22, -33, -5, 3, -17, 84, 18, 3, 1, 29, 12, -78, -61, 3, -3, 39, 12, -30, -14, 14, -19, -81, -25, -29, -43, -9, -51, 12, 1, 23, 17, 15, -15, -2, 2, -40, 75, -18, -12, 0, 5, -21, -8, 13, 48, 16, -6, 14, 8, -56, 2, -66, -2, 24, 13, 26, -69, 53, -15, 46, 12, -21, 9, -1, 26, -23, -12, 12, -18, 0, -8, 12, -25, 29, -16, 55, -11, 28, -39, -3, -49, 150, 8, -20, -25, 24, 3, -62, 16, 46, 2, -12, 18, 112, 21, -39, -15, 7, -1, -3, 12, 132, -45, 7, 48, -21, 3, -54, -7, -2, 29, 21, 9, 12, 7, 10, -87, -60, 3, 67, -53, 12, -3, -28, -5, 19, -44, 15, -8, 15, -3, -42, -16, 12, -8, -36, 30, 24, -7, 2, 28, -30, -14, 7, -6, -41, -3, 16, 28, -26, 1, -51, 4, -18, 3, -56, -3, -45, 23, -52, 2, 3, -19, -18, 7, -20, 3, 17, -8, -8, 12, -117, 42, -63, -12, -38, 66, -33, 2, -44, 7, -12, 7, 48, 15, -5, -21, -15, 25, 30, 28, -30, 8, 52, 8, -1, -12, 31, -39, 6, 60, -165, 12, 48, -14, -16, -57, 42, -8, -5, 9, -24, -25, 4, 8, 48, 6, 7, 0, -69, -10, -168, 12, 2, 16, -12, -11, 102, 0, -1, 15, -36, -1, -83, -20, -21, -15, -26, 6, -44, -22, 3, 2, -53, 8, -3, 24, 36, -45, 54, 7, -66, 11, 20, 41, -62, -18, 23, -8, -3, -20, -12, -13, -25, 41, -16, 21, 28, -3, -52, -3, 54, -21, -27, 3, -1, 104, -7, -34, -12, 8, 90, 19, 28, 15, -12, -3, 42, -14, 7, -16, 84, 1, -9, 28, 3, 111, 84, 2, -1, 18, 11, 32, -66, -19, 0, -3, 5, 0, -91, 12, -36, -5, 12, 3, 2, 39, -31, 7, -7, -40, -30, 2, 56, -64, -20, 33, -84, 14, 20, 17, -21, 44, 92, -3, -28, 90, -3, -12, -57, 8, 75, -3, 22, -18, -65, -12, 34, 30, 12, -14, -11, 27, -42, 25, -23, -3, 48, 9, -105, 21, -15, -1, -42, -20, 30, -15, 0, 20, -56, -2, 51, 12, 20, 18, -19, -11, -15, -5, -48, 4, -93, -13, 57, -28, -20, 6, 25, -9, -87, 56, 12, 61, 93, 2, -17, 21, -6, -26, -9, -1, 204, 15, 7, 3, 8, 21, 75, 57, -18, -26, 78, -8, 8, -12, -2, 60, 51, 8, 10, -42, 21, -29, 32, -20, -33, 11, 30, -30, -24, 3, 81, 9, 1, -8, -35, -54, 71, -24, 19, -6, -18, -16, 78, -3, 60, 12, 48, -16, 28, -21, -11, -21, -71, -7, 44, 48, 2, -12, -41, -2, 18, -7, 65, -47, -14, -3, 64, 13, -3, 2, 105, 20, -14, -9, 3, 55, -120, -10, 17, -24, -42, -3, 21, 2, 101, -12, 22, 36, -8, 5, 108, 51, 17, -15, -36, -18, 12, 3, -1, 4, 187, -12, -1, 80, 61, -30, -7, 3, -7, -2, -12, 66, -17, 14, -16, 0, 19, 41, -14, 25, -18, -28, 43, -12, -30, 51, -16, 76, -1, -3, -39, -17, 12, 45, 15, 63, -51, -2, -90, -45, -75, 18, -54, 12, 84, -3, -5, -6, -2, 8, -77, 3, -48, -42, 28, 6, 17, 38, -8, 9, -12, -2, 8, -52, 2, 12, 15, -13, 1, -15, 69, 0, -27, 15, 58, -77, -12, -28, 9, -9, -144, -52, -26, -12, 75, 12, 20, 76, 18, -6, 18, 8, -2, -12, 25, -12, 30, 16, -15, 63, 11, 8, 25, 39, -25, 24, 49, 13, 51, -8, -42, -9, 25, -7, 9, -3, 84, 10, -16, 10, 84, -2, -22, 39, -18, 11, -21, -21, 1, 1, 15, -32, 29, 1, 78, -21, -12, 21, 4, 45, 6, -6, -48, -3, -16, -3, 4, 65, 7, -8, -6, -29, -5, -36, -9, -9, 20, -7, -12, 15, 87, -20, 0, -3, 0, 18, 53, 6, 14, 3, 54, -49, 5, 13, -98, 44, -87, 16, 8, -54, 186, 3, -102, 9, 16, -54, 80, 8, -105, -3, -30, -42, 61, 7, -26, 84, -28, -8, 2, 14, 44, -28, 6, -21, 12, 3, -10, 40, -28, -7, -93, -1, -20, -1, -4, 57, -21, -3, -10, 10, 3, -2, 4, -23, -54, -11, -2, 30, -42, 19, -84, 9, -7, -5, 18, -3, 2, -12, 8, 99, 39, -12, 45, 76, -42, -39, -10, 12, 37, 7, -66, 17, -76, -2, -3, 72, -7, 20, 4, -7, -114, -14, -15, 64, -63, 21, 14, 18, -25, 3, -72, -28, 65, 3, -8, -51, -4, -8, 36, -29, 12, -22, 17, 39, -11, 12, -60, -65, -90, -12, -30, 66, 14, -27, -13, 57, -12, 23, 8, 55, -55, -9, -48, -8, 25, 15, -12, -8, 58, 20, -6, -3, -24, 0, -30, -48, 10, 2, -68, -12, 93, -20, -16, 56, 13, 11, -76, -7, 0, 48, -3, -15, -39, 13, 1, 129, -96, 20, -54, -48, 15, 9, -24, -6, -75, -12, 22, 37, 105, -2, 44, -100, -8, 6, -112, -24, 82, 1, 45, -16, 6, -7, 4, 72, -11, -21, -39, -41, -28, 18, 18, 45, -12, 8, 43, 99, 20, 2, -72, 13, 3, -8, -41, -21, 20, -21, -138, -12, 3, 20, -45, 3, -8, -30, 21, -24, -23, -3, -74, -22, -104, -1, -48, 34, -3, 54, -8, 9, -45, -19, 48, -18, -15, 16, -102, 3, 35, -60, 14, -56, 72, 16, 29, -12, -1, 11, -46, -28, 104, 7, -111, 33, 44, -2, 54, 96, -18, 2, -22, -32, 42, -65, 19, -3, -6, 3, 62, 36, 0, 3, -44, -12, 18, -20, 5, -60, -76, -3, 2, -71, -39, 10, 0, -7, -8, 42, 40, 72, 37, -2, 45, -7, 64, -22, -88, -33, -78, -5, -14, 3, -24, -17, 13, 84, -44, 18, -9, 3, -3, 1, -90, 29, 1, 12, 48, -78, -8, -61, -102, 3, -88, -3, 18, 39, 28, 12, 23, -30, -30, -14, -6, 14, 58, -19, -27, -81, 36, -25, 26, -29, 3, -43, -108, -9, -12, -51, -21, 12, -68, 1, -84, 23, 20, 17, 72, 15, 7, -15, -20, -2, 84, 2, 107, -40, -12, 75, -72, -18, 7, -12, 11, 0, 40, 5, -23, -21, -4, -8, -12, 13, 120, 48, 28, 16, -36, -6, -45, 14, 9, 8, 96, -56, -15, 2, -61, -66, -39, -2, 4, 24, -21, 13, 35, 26, 109, -69, 1, 53, -16, -15, -57, 46, -3, 12, -31, -21, 3, 9, -57, -1, 187, 26, 7, -23, 8, -12, -93, 12, 52, -18, -60, 0, 85, -8, 10, 12, 42, -25, 12, 29, 108, -16, 20, 55, -18, -11, 168, 28, 30, -39, -105, -3, -90, -49, -9, 150, -20, 8, 88, -20, 54, -25, -32, 24, -42, 3, 6, -62, 60, 16, -96, 46, 3, 2, 121, -12, -53, 18, 16, 112, 24, 21, -51, -39, 21, -15, -42, 7, 15, -1, -48, -3, 13, 12, 41, 132, 2, -45, -70, 7, 105, 48, 47, -21, 71, 3, 24, -54, -13, -7, -162, -2, -32, 29, -20, 21, -81, 9, 12, 12, -55, 7, -3, 10, 99, -87, 24, -60, 105, 3, -21, 67, -2, -53, -40, 12, -34, -3, -36, -28, -132, -5, -3, 19, -51, -44, 133, 15, 69, -8, 18, 15, -60, -3, 59, -42, -4, -16, 90, 12, 81, -8, -80, -36, 28, 30, -79, 24, -3, -7, -66, 2, 10, 28, -66, -30, -42, -14, 32, 7, 0, -6, -53, -41, -115, -3, -25, 16, -22, 28, 30, -26, 12, 1, 6, -51, 63, 4, -76, -18, -72, 3, -39, -56, 17, -3, 7, -45, -56, 23, -63, -52, -12, 2, -25, 3, 45, -19, -53, -18, 33, 7, -12, -20, -15, 3, 38, 17, 6, -8, 90, -8, 68, 12, -3, -117, 64, 42, 60, -63, -6, -12, -66, -38, 10, 66, -9, -33, 18, 2, 72, -44, 52, 7, -116, -12, -142, 7, 13, 48, -102, 15, -14, -5, 0, -21, 4, -15, -75, 25, 77, 30, 84, 28, 6, -30, 9, 8, -81, 52, 12, 8, 12, -1, -9, -12, -7, 31, -76, -39, -15, 6, 1, 60, -8, -165, 19, 12, -102, 48, 12, -14, -42, -16, 18, -57, -63, 42, 25, -8, 156, -5, -39, 9, 69, -24, -133, -25, -13, 4, -51, 8, -7, 48, 9, 6, -18, 7, 4, 0, 3, -69, 56, -10, -63, -168, -10, 12, -55, 2, 81, 16, -39, -12, 83, -11, 58, 102, 21, 0, -54, -1, -67, 15, 32, -36, 12, -1, -8, -83, 21, -20, -58, -21, -96, -15, -45, -26, -51, 6, -154, -44, 3, -22, -12, 3, 108, 2, -65, -53, 132, 8, 76, -3, 29, 24, -42, 36, -29, -45, 9, 54, 91, 7, 112, -66, -15, 11, -80, 20, -117, 41, 3, -62, -32, -18, 15, 23, -6, -8, -90, -3, -19, -20, 49, -12, -24, -13, 32, -25, -44, 41, 78, -16, 12, 21, 54, 28, 30, -3, 12, -52, -9, -3, -16, 54, 3, -21, -8, -27, -18, 3, -36, -1, 42, 104, 30, -7, 24, -34, -84, -12, 87, 8, 105, 90, -14, 19, -7, 28, 39, 15, 21, -12, -4, -3, -158, 42, -40, -14, -231, 7, 2, -16, 1, 84, 72, 1, 0, -9, -57, 28, 153, 3, -114, 111, -10, 84, 44, 2, -72, -1, 23, 18, -14, 11, 55, 32, -30, -66, -12, -19, 22, 0, -9, -3, 54, 5, -80, 0, 3, -91, -37, 12, -15, -36, -99, -5, -175, 12, 220, 3, -76, 2, 98, 39, 117, -31, -12, 7, -216, -7, 51, -40, -17, -30, -21, 2, 54, 56, -72, -64, 12, -20, 3, 33, 7, -84, -3, 14, 126, 20, -64, 17, -31, -21, 41, 44, -18, 92, 186, -3, 31, -28, 28, 90, -169, -3, -54, -12, 51, -57, -69, 8, -8, 75, 29, -3, -23, 22, -42, -18, -39, -65, 45, -12, -7, 34, 65, 30, -12, 12, -124, -14, -66, -11, 80, 27, 18, -42, -57, 25, 39, -23, 16, -3, -55, 48, 99, 9, 72, -105, 8, 21, 83, -15, -28, -1, 8, -42, 33, -20, -48, 30, 3, -15, 38, 0, -3, 20, 48, -56, -91, -2, 79, 51, 12, 12, 153, 20, -72, 18, -56, -19, -50, -11, 36, -15, 7, -5, 93, -48, -55, 4, 15, -93, 2, -13, -2, 57, -129, -28, 12, -20, 34, 6, 48, 25, -52, -9, 264, -87, 6, 56, -71, 12, -55, 61, -37, 93, 30, 2, -6, -17, 100, 21, 148, -6, -147, -26, 24, -9, 6, -1, -26, 204, 16, 15, -25, 7, -21, 3, -72, 8, 147, 21, -68, 75, 41, 57, 24, -18, -70, -26, -45, 78, 76, -8, -123, 8, -99, -12, 47, -2, -7, 60, -13, 51, 15, 8, 123, 10, 21, -42, -12, 21, -142, -29, 12, 32, -90, -20, -94, -33, -3, 11, -41, 30, -99, -30, 24, -24, 1, 3, 2, 81, 22, 9, 112, 1, -138, -8, -34, -35, -32, -54, 21, 71, -9, -24, 22, 19, -52, -6, 18, -18, 0, -16, 26, 78, -3, -3, 12, 60, 79, 12, 56, 48, 100, -16, 204, 28, 12, -21, -36, -11, 133, -21, 28, -71, 144, -7, 94, 44, -33, 48, 6, 2, -20, -12, -96, -41, 57, -2, -20, 18, 32, -7, 32, 65, -159, -47, 3, -14, 70, -3, 9, 64, -36, 13, 72, -3, -82, 2, 12, 105, -96, 20, 156, -14, 60, -9, 9, 3, -30, 55, 71, -120, -69, -10, -54, 17, 7, -24, -161, -42, 114, -3, -72, 21, -12, 2, -82, 101, 7, -12, -111, 22, -72, 36, 33, -8, 62, 5, -108, 108, -3, 51, -28, 17, -156, -15, -84, -36, 3, -18, -58, 12, -3, 3, 21, -1, -7, 4, -29, 187, -30, -12, 2, -1, 78, 80, 24, 61, 180, -30, -3, -7, -48, 3, -78, -7, -39, -2, 99, -12, -39, 66, 30, -17, -11, 14, 114, -16, -14, 0, -116, 19, 19, 41, 81, -14, 47, 25, 30, -18, 29, -28, -48, 43, -156, -12, 9, -30, -95, 51], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "6042.2.a.o", "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], [1, 0], [1, 0], [-1, 0], [1, 0], [-1, -1], [-1, 0], [1, 0], [1, 0], [1, 0], [-1, -1], [-4, 0], [-1, 0], [-2, 1], [1, 0], [1, 1], [1, 0], [4, -1], [1, 0], [1, 0], [-1, -1], [-1, 0], [-4, 0], [1, 1], [-1, 0], [4, 3], [-2, 1], [-1, 0], [1, 0], [-5, 2], [1, 1], [-7, 0], [1, 0], [4, 0], [4, -1], [-1, -1], [1, 0], [4, 1], [1, 0], [2, -1], [-1, -1], [-6, 0], [-1, 0], [7, 1], [-4, 0], [-1, -1], [1, 1], [0, -3], [-1, 0], [-6, 0], [4, 3], [-4, 1], [-2, 1], [-1, 0], [-1, 0], [4, 4], [1, 0], [-1, 0], [-5, 2], [7, 2], [1, 1], [-2, -1], [-7, 0], [1, 0], [1, 0], [-6, 0], [4, 0], [-1, 1], [4, -1], [-1, -1], [-1, -1], [-10, 1], [1, 0], [4, 0], [4, 1], [-4, -3], [1, 0], [-4, 0], [2, -1], [-8, 0], [-1, -1], [1, 0], [-6, 0], [12, 1], [-1, 0], [4, -2], [7, 1], [5, -2], [-4, 0], [-11, 1], [-1, -1], [-2, 1], [1, 1], [7, 0], [0, -3], [-1, -1], [-1, 0], [-14, 0], [-6, 0], [-4, 0], [4, 3]]}