# Stored data for newform 7098.2.a.bi, downloaded from the LMFDB on 19 April 2024.
{"label": "7098.2.a.bi", "space_label": "7098.2.a", "level": 7098, "weight": 2, "hecke_orbit": 35, "hecke_orbit_code": 153122387364158394, "dim": 2, "is_polredabs": true, "nf_label": "2.2.17.1", "trace_hash": 1822689454493410514, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-4, -1, 1]], [11, [-4, -1, 1]], [17, [-1, 8, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+\\beta q^{5}+q^{6}-q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 28392, "fricke_eigenval": 1, "atkin_lehner_string": "++++", "analytic_conductor": 56.67781535470482, "hecke_ring_index": 1, "level_radical": 546, "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": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [7098, 1, [4733, 5071, 6931], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7, 13], "conrey_indexes": [1], "field_disc": 17, "field_disc_factorization": [[17, 1]], "field_poly": [-4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.005", "prec": 17}, {"__RealLiteral__": 0, "data": "1.923", "prec": 17}, {"__RealLiteral__": 0, "data": "0.356", "prec": 17}, {"__RealLiteral__": 0, "data": "9.455", "prec": 17}, {"__RealLiteral__": 0, "data": "4.066", "prec": 17}, {"__RealLiteral__": 0, "data": "67.012", "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], [7, 1], [13, 1]], "trace_display": [-2, -2, 1, -2], "traces": [0, 2, -2, -2, 2, 1, 2, -2, -2, 2, -1, 1, -2, 0, 2, -1, 2, -8, -2, 1, 1, 2, -1, 6, 2, -1, 0, -2, -2, -4, 1, 0, -2, -1, 8, -1, 2, 9, -1, 0, -1, 6, -2, -16, 1, 1, -6, 13, -2, 2, 1, 8, 0, 14, 2, -8, 2, -1, 4, -2, -1, -6, 0, -2, 2, 0, 1, -10, -8, -6, 1, -2, -2, 9, -9, 1, 1, -1, 0, -9, 1, 2, -6, 2, 2, -21, 16, 4, -1, -11, -1, 0, 6, 0, -13, -8, 2, 10, -2, 1, -1, 9, -8, -4, 0, 1, -14, -1, -2, 8, 8, -9, -2, -1, 1, 20, -4, 0, 2, 8, 1, -13, 6, -6, 0, 3, 2, -8, -2, 16, 0, 12, -1, -1, 10, -1, 8, -29, 6, -15, -1, -13, 2, 0, 2, 15, -9, -2, 9, 27, -1, 15, -1, -8, 1, 0, 0, -15, 9, -14, -1, -6, -2, -16, 6, 8, -2, 8, -2, 0, 21, 1, -16, -36, -4, 1, 1, 2, 11, -20, 1, 10, 0, 6, -6, 13, 0, 13, 13, 2, 8, -2, -2, 8, -10, 0, 2, -21, -1, -32, 1, 10, -9, 4, 8, -31, 4, 6, 0, 9, -1, 2, 14, 2, 1, -8, 2, 0, -8, -9, -8, 0, 9, -36, 2, -1, 1, 30, -1, 3, -20, 1, 4, -22, 0, 32, -2, 9, -8, -14, -1, 21, 13, -2, -6, 1, 6, 0, 0, -2, -3, 14, -2, -14, 8, 21, 2, -24, -16, -9, 0, -4, -12, 2, 1, 7, 1, 11, -10, 46, 1, -4, -8, 0, 29, -9, -6, -35, 15, 0, 1, 3, 13, -40, -2, 8, 0, -6, -2, 32, -15, -10, 9, -15, 2, 16, -9, -1, -27, 0, 1, 16, -15, -9, 1, 31, 8, -9, -1, 4, 0, 15, 0, -12, 15, -1, -9, -29, 14, -19, 1, 1, 6, 13, 2, 0, 16, -8, -6, -13, -8, -14, 2, 9, -8, 12, 2, 6, 0, 1, -21, 0, -1, -2, 16, -20, 36, -7, 4, 36, -1, 0, -1, 47, -2, -52, -11, -8, 20, 20, -1, -29, -10, 13, 0, 13, -6, -14, 6, 6, -13, -14, 0, -35, -13, -3, -13, 0, -2, -34, -8, 8, 2, 5, 2, 8, -8, -16, 10, -23, 0, -58, -2, -12, 21, 4, 1, -27, 32, 1, -1, -17, -10, 0, 9, 1, -4, -4, -8, 19, 31, 29, -4, 2, -6, -16, 0, 15, -9, 22, 1, -9, -2, 13, -14, -13, -2, 6, -1, 0, 8, -14, -2, -55, 0, -15, 8, -14, 9, -36, 8, 2, 0, -17, -9, -14, 36, -27, -2, 38, 1, 37, -1, -15, -30, 0, 1, -29, -3, 8, 20, 25, -1, -37, -4, 0, 22, -8, 0, 10, -32, 15, 2, -8, -9, -9, 8, 14, 14, -25, 1, 0, -21, 6, -13, 22, 2, -35, 6, 16, -1, 0, -6, -18, 0, -8, 0, 2, 2, -44, 3, -8, -14, -24, 2, 47, 14, 0, -8, 63, -21, -9, -2, -1, 24, -36, 16, -19, 9, 36, 0, 60, 4, -13, 12, -1, -2, 0, -1, 6, -7, -2, -1, 0, -11, -60, 10, 20, -46, 1, -1, 7, 4, -10, 8, -30, 0, -26, -29, -6, 9, -19, 6, 9, 35, -13, -15, -16, 0, 0, -1, -13, -3, -28, -13, -9, 40, -2, 2, -44, -8, -34, 0, 2, 6, 14, 2, 67, -32, -8, 15, -2, 10, 7, -9, 0, 15, 12, -2, 0, -16, 21, 9, 2, 1, 21, 27, 32, 0, -10, -1, 3, -16, -10, 15, -15, 9, -32, -1, -4, -31, 0, -8, -39, 9, 31, 1, -1, -4, -33, 0, -6, -15, 11, 0, -36, 12, -9, -15, -53, 1, 49, 9, -2, 29, -72, -14, 0, 19, -2, -1, 21, -1, -83, -6, 8, -13, -55, -2, -18, 0, 0, -16, 37, 8, -28, 6, 9, 13, 33, 8, 3, 14, 0, -2, 8, -9, 22, 8, 36, -12, -37, -2, -22, -6, 1, 0, 0, -1, -10, 21, -30, 0, -48, 1, -23, 2, -3, -16, 0, 20, 0, -36, -1, 7, -16, -4, 44, -36, 22, 1, -25, 0, -4, 1, -32, -47, -9, 2, 23, 52, -9, 11, 0, 8, 0, -20, 14, -20, -19, 1, 4, 29, -21, 10, 19, -13, 80, 0, 2, -13, 64, 6, 0, 14, -1, -6, -22, -6, -6, 13, 0, 14, -24, 0, 5, 35, 2, 13, 1, 3, -61, 13, -14, 0, -52, 2, 56, 34, 14, 8, -36, -8, -8, -2, -21, -5, 0, -2, -18, -8, 24, 8, 8, 16, 0, -10, 9, 23, 37, 0, 50, 58, 4, 2, -33, 12, -45, -21, -2, -4, 1, -1, 0, 27, -7, -32, 68, -1, -103, 1, -11, 17, -4, 10, -20, 0, -46, -9, -11, -1, -48, 4, 4, 4, 60, 8, -8, -19, 0, -31, -1, -29, -60, 4, 9, -2, -52, 6, 24, 16, 35, 0, -8, -15, 72, 9, 0, -22, -20, -1, -16, 9, -3, 2, 0, -13, 13, 14, 40, 13, 44, 2, -36, -6, -8, 1, 37, 0, 7, -8, 6, 14, -74, 2, -18, 55, -32, 0, -13, 15, 0, -8, 10, 14, -3, -9, -13, 36, 15, -8, 77, -2, -40, 0, -16, 17, -55, 9, 8, 14, 1, -36, -19, 27, -44, 2, 0, -38, 0, -1, -56, -37, -16, 1, -29, 15, 6, 30, 9, 0, -14, -1, 18, 29, -31, 3, -12, -8, -63, -20, 9, -25, 0, 1, 4, 37, -4, 4, 22, 0, 1, -22, -15, 8, 32, 0, -73, -10, 12, 32, 46, -15, -50, -2, 1, 8, -113, 9, 0, 9, 29, -8, 34, -14, 16, -14, 19, 25, 29, -1, -62, 0, -1, 21, 21, -6, 24, 13, -13, -22, 42, -2, 15, 35, 0, -6, 37, -16, 3, 1, 8, 0, 12, 6, -2, 18, 13, 0, -48, 8, 21, 0, 14, -2, -16, -2, -18, 44, -9, -3, 0, 8, -26, 14, -12, 24, 7, -2, -64, -47, -6, -14, -33, 0, -15, 8, -1, -63, 31, 21, -80, 9, 0, 2, -37, 1, 0, -24, 2, 36, 50, -16, -49, 19, 20, -9, -44, -36, 48, 0, 7, -60, -27, -4, -4, 13, -36, -12, -42, 1, 30, 2, 0, 0, -16, 1, -15, -6, -47, 7, -54, 2, 22, 1, 52, 0, -12, 11, 105, 60, 8, -10, -1, -20, 8, 46, -20, -1, 0, 1, 90, -7, 29, -4, 0, 10, -24, -8, -13, 30, 0, 0, 93, 26, -13, 29, 71, 6, 15, -9, 14, 19, -8, -6, 0, -9, -6, -35, -25, 13, -38, 15, 14, 16, -52, 0, 20, 0, 35, 1, -18, 13, 79, 3, 3, 28, 6, 13, 27, 9, 0, -40, 32, 2, 32, -2, 34, 44, 6, 8, 16, 34, -8, 0, 78, -2, 0, -6, -5, -14, 47, -2, 29, -67, -8, 32, 0, 8, -37, -15, 16, 2, 32, -10, -62, -7, 23, 9, -8, 0, -18, -15, 58, -12, 19, 2, 59, 0, 12, 16, 50, -21, 0, -9, -4, -2, 24, -1, -80, -21, 27, -27, 125, -32, 44, 0, -1, 10, 38, 1, 76, -3, 17, 16, 53, 10, 110, -15, 0, 15, 36, -9, 65, 32, -1, 1, -89, 4, 42, 31, 4, 0, -21, 8, -1, 39, -19, -9, -4, -31, -34, -1, -29, 1, 0, 4, 87, 33, -2, 0, -53, 6, 8, 15, 16, -11, 32, 0, -19, 36, -15, -12, 20, 9, 92, 15, -22, 53, -44, -1, 0, -49, 9, -9, -24, 2, -10, -29, -13, 72, 0, 14, -22, 0, 13, -19, 41, 2, 60, 1, -6, -21, 36, 1, 39, 83, 0, 6, -57, -8, -25, 13, 14, 55, -13, 2, -10, 18, 55, 0, -52, 0, 121, 16, 15, -37, -20, -8, -13, 28, 14, -6, 0, -9, -16, -13, 36, -33, -29, -8, 25, -3, -2, -14, -7, 0, 9, 2, 17, -8, -9, 9, 0, -22, 14, -8, 2, -36, 0, 12, 27, 37, 19, 2, 6, 22, -38, 6, 50, -1, -8, 0, -37, 0, -104, 1, 28, 10, 15, -21, 28, 30, 25, 0, 0, 48, -86, -1, -25, 23, 29, -2, -129, 3, 44, 16, -8, 0, 21, -20, 83, 0, -25, 36, -9, 1, -4, -7, 37, 16, 0, 4, 32, -44, 0, 36, 64, -22, 50, -1, 8, 25, 50, 0, 61, 4, -10, -1, -41, 32, 26, 47, -15, 9, -20, -2, 0, -23, 8, -52, -4, 9, 1, -11, 9, 0, 64, -8, -29, 0, -14, 20, -100, -14, 31, 20, 25, 19, 34, -1, 40, -4, 0, -29, 152, 21, -54, -10, -6, -19, 8, 13, 25, -80, -22, 0, 0, -2, -87, 13, 35, -64, -9, -6, -67, 0, -16, -14, 0, 1, 3, 6, 0, 22, 18, 6, -2, 6, 18, -13, -53, 0, -5, -14, 8, 24, 83, 0, -60, -5, -2, -35, -36, -2, 0, -13, 44, -1, 76, -3, -13, 61, 8, -13, 8, 14, -6, 0, 24, 52, 15, -2, 61, -56, -47, -34, -7, -14, 0, -8, 0, 36, -9, 8, 37, 8, -63, 2, 1, 21, -9, 5, 9, 0, -64, 2, -28, 18, 1, 8, 4, -24, 66, -8, 36, -8, 0, -16, 61, 0, 19, 10, 16, -9, -52, -23, -36, -37, 47, 0, 36, -50, -60, -58, -6, -4, 26, -2, 13, 33, -4, -12, 0, 45, 1, 21, 18, 2, -62, 4, 0, -1, 66, 1, -23, 0, -6, -27, -30, 7, -72, 32, 2, -68, 16, 1, 70, 103, 0, -1, -17, 11, -3, -17, 60, 4, 10, -10, 19, 20, -20, 0, 92, 46, 32, 9, -1, 11, 63, 1, -18, 48, -7, -4, 0, -4, -32, -4, 10, -60, 22, -8, -108, 8, 30, 19, 8, 0, 22, 31, 26, 1, 0, 29, -32, 60, 6, -4, -74, -9, 0, 2, 19, 52, 44, -6, 77, -24, -9, -16, 67, -35, 9, 0, 13, 8, -43, 15, 100, -72, 16, -9, 14, 0, 22, 22, 0, 20, 44, 1, 72, 16, 13, -9, 71, 3, -21, -2, 28, 0, 3, 13, 18, -13, 9, -14, 68, -40, -20, -13, 2, -44, 0, -2, 0, 36, 44, 6, -31, 8, 38, -1, 34, -37, -1, 0, -121, -7, -2, 8, -73, -6, 18, -14, -14, 74, 18, -2, 0, 18, -67, -55, -86, 32, -80, 0, 8, 13, 84, -15, 5, 0, 2, 8, 18, -10, 96, -14, -7, 3, 84, 9, -11, 13, 0, -36, -14, -15, 113, 8, -12, -77, -48, 2, -19, 40, 0, 0, 80, 16, 14, -17, -21, 55, -50, -9, -38, -8, -2, -14, 0, -1, 78, 36, -21, 19, -89, -27, 69, 44, -32, -2, -76, 0, 44, 38, 10, 0, 24, 1, 50, 56, -3, 37, -23, 16, 0, -1, 10, 29, -102, -15, 9, -6, 15, -30, -10, -9, 123, 0, 32, 14, -32, 1, 4, -18, 4, -29, 0, 31, 108, -3, 0, 12, -92, 8, -64, 63, 39, 20, -2, -9, -12, 25, -31, 0, -55, -1, 42, -4, 1, -37, 36, 4, -7, -4, 33, -22, 0, 0, -78, -1, 6, 22, -77, 15, -48, -8, -11, -32, 74, 0, 118, 73, 36, 10, 28, -12, 38, -32, 9, -46, -46, 15, 0, 50, 53, 2, 73, -1, 0, -8, -49, 113, 68, -9, 4, 0, 2, -9, -25, -29, -18, 8, 72, -34, 100, 14, -28, -16, 0, 14, 23, -19, -40, -25, 2, -29, -38, 1, 21, 62, -21, 0, 9, 1, -63, -21, 83, -21, -18, 6, -38, -24, -8, -13, 0, 13, 35, 22, 55, -42, 54, 2, -37, -15, 18, -35, -1, 0, -88, 6, 0, -37, -148, 16, 32, -3, -37, -1, 63, -8, 0, 0, 28, -12, -3, -6, 24, 2, -9, -18, 41, -13, 13, 0, -33, 48, -62, -8, 40, -21, -3, 0, 46, -14, -57, 2, 0, 16, 39, 2, -41, 18, -8, -44, -86, 9, -1, 3, -22, 0, -68, -8, -51, 26, -36, -14, 6, 12, 18, -24, 37, -7, 0, 2, 68, 64, 22, 47, -104, 6, -32, 14, -1, 33, 21, 0, -28, 15, 0, -8, 59, 1, -36, 63, 10, -31, -106, -21, 0, 80, 30, -9, 1, 0, -50, -2, 48, 37, 15, -1, -157, 0, 23, 24, 69, -2, -98, -36, 3, -50, 81, 16, -16, 49, 0, -19, -12, -20, 38, 9, 0, 44, -18, 36, 0, -48, 1, 0, -43, -7, -68, 60, 16, 27, 52, 4, -13, 4, -44, -13, 0, 36, -40, 12, -22, 42, -54, -1, -18, -30, 25, -2, -115, 0, -16, 0, 4, 16, 60, -1, 58, 15, 32, 6, -1, 47, 0, -7, 9, 54, -13, -2, 73, -22, -23, -1, 35, -52, -29, 0, 9, 12, -31, -11, 11, -105, 0, -60, 19, -8, -15, 10, 0, 1, 8, 20, 9, -8, -14, -46, 66, 20, 44, 1, 19, 0, 168, -1, -21, -90, -4, 7, -53, -29, -19, 4, 21, 0, 0, -10, 42, 24, -19, 8, -15, 13, 36, -30, -80, 0, 8, 0, -24, -93, -2, -26, -16, 13, 12, -29, -64, -71, 16, -6, 0, -15, 0, 9, 0, -14, 48, -19, 1, 8, -138, 6, 67, 0, 22, 9, -35, 6, 68, 35, 6, 25, 29, -13, 57, 38, 0, -15, -3, -14, 20, -16, 24, 52, 64, 0, 19, -20, -5, 0, -83, -35, -10, -1, -2, 18, -6, -13, 70, -79, -1, -3, 0, -3, -56, -28, 61, -6, -24, -13, 7, -27, 14, -9, -13, 0, 0, 40, 52, -32, 52, -2, 77, -32, -56, 2, 36, -34, 0, -44, -14, -6, -112, -8, 9, -16, 36, -34, 45, 8, -110, 0, 8, -78, 35, 2, -54, 0, 21, 6, -23, 5, 2, 14, 0, -47, 13, 2, 89, -29, 18, 67, -77, 8, -32, -32, -24, 0, -44, -8, 14, 37, -8, 15, 18, -16, 112, -2, 0, -32, 0, 10, 133, 62, -9, 7, -7, -23, 132, -9, -37, 8, 20, 0, 30, 18, -50, 15, -12, -58, 16, 12, -4, -19, 37, -2, 0, -59, 33, 0, -130, -12, -6, -16, 45, -50, 77, 21, 64, 0, 2, 9, -80, 4, 15, 2, -1, -24, 44, 1, -1, 80, 0, 21, -21, -27, 6, 27, 7, -125, 0, 32, -61, -44, -68, 0, 34, 1, -72, -10, 103, -38, 52, -1, 2, -76, 11, 3, 0, -17, -38, -16, 4, -53, -22, -10, 64, -110, 20, 15, 63, 0, -74, -15, 46, -36, -40, 9, 12, -65, 11, -32, 7, 1, 0, -1, 48, 89, 8, -4, 71, -42, -4, -31, 44, -4, -36, 0, -60, 21, -102, -8, 0, 1, 8, -39, 16, 19, 68, 9, 0, 4, -93, 31, -122, 34, 1, 1, -43, 29, 97, -1, 60, 0, -47, -4, 3, -87, -9, -33, 22, 2, -28, 0, 52, 53, 0, -6, 52, -8, -24, -15, 40, -16, 91, 11, -35, -32, 12, 0, -2, 19, 8, -36, -154, 15, -39, 12, -72, -20, -44, -9, 0, -92, 0, -15, -20, 22, 56, -53, 20, 44, -75, 1, -40, 0, 16, 49, 38, -9, 29, 9, 3, 24, 21, -2, -91, 10, 0, 29, 16, 13, -67, -72, -13, 0, 14, -14, -11, 22, -40, 0, -110, -13, -30, 19, -44, -41, -13, -2, -173, -60, 36, -1, 0, 6, 40, 21, 8, -36, 59, -1, 14, -39, -37, -83, 0, 0, -32, -6, -7, 57, -18, 8, 5, 25, -6, -13, -52, -14, 0, -55, 74, 13, -42, -2, 32, 10, 18, -18, 14, -55, -20, 0, 32, 52, -6, 0, 47, -121, 13, -16, -47, -15, 35, 37, 0, 20, 36, 8, 137, 13, -10, -28, 144, -14, 48, 6, 3, 0, -60, 9, -58, 16, 13, 13, 9, -36, 0, 33, -15, 29, 0, 8, 1, -25, -77, 3, 105, 2, 97, 14, 40, 7, -32, 0, 34, -9, 16, -2, -56, -17, 0, 8, 55, 9, -103, -9, 0, 0, -8, 22, 111, -14, 28, 8, -1, -2, -59, 36, -32, 0, 19, -12, -5, -27, 4, -37, 44, -19, -61, -2, -85, -6, 0, -22, -27, 38, -8, -6, 0, -50, 65, 1, 49, 8, 56, 0, 97, 37, -99, 0, 16, 104, 8, -1, 92, -28, 29, -10, 0, -15, -38, 21, -6, -28, 23, -30, -38, -25, -9, 0, -133, 0, 8, -48, 14, 86, 72, 1, 58, 25, -18, -23, 146, -29, 0, 2, 31, 129, -98, -3, 80, -44, 12, -16, 32, 8, 16, 0, 63, -21, 0, 20, -78, -83, -9, 0, -4, 25, -7, -36, 0, 9, -72, -1, 38, 4, -4, 7, -34, -37, 27, -16, 4, 0, -56, -4, 9, -32, -22, 44, -75, 0, -38, -36, -1, -64, 0, 22, -54, -50, 15, 1, 39, -8, -85, -25, -32, -50, 17, 0, -8, -61, 73, -4, 14, 10, -48, 1, -12, 41, 6, -32, 0, -26, -46, -47, -8, 15, -63, -9, 50, 20, 22, 2, -39, 0, -1, 23, -67, -8, -168, 52, 113, 4, 88, -9, -22, -1, 0, 11, 4, -9, 132, 0, -29, -64, 0, 8, -46, 29, -34, 0, 153, 14, -19, -20, -16, 100, 63, 14, 67, -31, -19, -20, 0, -25, -76, -19, -29, -34, -92, 1, 80, -40, 62, 4, 25, 0, 22, 29, 1, -152, -2, -21, 18, 54, -21, 10, 113, 6, 0, 19, -24, -8, 11, -13, 16, -25, 13, 80, -114, 22, 198, 0, -42, 0, -56, 2, 6, 87, -15, -13, -160, -35, -32, 64, 0, 9, -28, 6, 67, 67, -37, 0, -22, 16, 40, 14, -3, 0, -2, -1, 144, -3, -8, -6, 0, 0, 9, -22, -12, -18, 0, -6, -80, 2, 2, -6, -89, -18, 40, 13, -13, 53, 21, 0, -135, 5, 48, 14, 49, -8, -64, -24, -21, -83, 13, 0, 0, 60, -14, 5, 100, 2, 18, 35, 16, 36, -60, 2, -6, 0, 18, 13, -7, -44, -124, 1, 9, -76, 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": "546.2.l.l", "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], [0, 1], [1, 0], [-1, 0], [-1, 0], [1, 0], [0, -1], [1, -1], [-1, 0], [0, 0], [1, 0], [0, -1], [1, 0], [-3, -2], [-1, 0], [1, -1], [0, 1], [1, 0], [-1, 1], [2, 2], [1, 0], [-1, 1], [0, 0], [-1, 0], [-1, 0], [-3, 2], [0, 1], [0, 0], [-1, 0], [-1, 1], [3, 2], [0, -1], [1, 0], [4, 1], [-1, 1], [0, 0], [0, -1], [5, -4], [-1, 0], [-8, 0], [1, -1], [0, 1], [-2, -2], [5, 3], [-1, 0], [1, 0], [1, -1], [3, 2], [0, 0], [7, 0], [1, 0], [-4, 0], [1, 0], [-1, 1], [3, -2], [-2, 2], [0, -1], [-5, 4], [0, 0], [-1, 0], [1, 0], [0, 0], [1, -1], [-6, 2], [-3, -2], [-2, -2], [0, 1], [2, -6], [-1, 0], [4, 1], [-4, -1], [1, -1], [1, -1], [-1, 1], [0, 0], [-5, 1], [0, 1], [1, 0], [-5, 4], [2, -2], [1, 0], [-8, -5], [8, 0], [3, -2], [-1, 1], [-5, -1], [0, -1], [0, 0], [2, 2], [0, 0], [-5, -3], [-4, 0], [1, 0], [4, 2], [-1, 0], [1, -1], [-1, 1]]}