# Stored data for newform 3025.2.a.i, downloaded from the LMFDB on 28 March 2024. {"label": "3025.2.a.i", "space_label": "3025.2.a", "level": 3025, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36028797052521425, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1664108618177857254, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 1, 1]], [3, [1, -3, 1]], [19, [-45, 0, 1]]], "qexp_display": "q-\\beta q^{2}+(1+\\beta )q^{3}+(-1+\\beta )q^{4}+(-1+\\cdots)q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12100, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 24.154746611437314, "hecke_ring_index": 1, "level_radical": 55, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "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": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [3025, 1, [727, 2301], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 11], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.065", "prec": 17}, {"__RealLiteral__": 0, "data": "1.963", "prec": 17}, {"__RealLiteral__": 0, "data": "0.439", "prec": 17}, {"__RealLiteral__": 0, "data": "9.654", "prec": 17}, {"__RealLiteral__": 0, "data": "3.367", "prec": 17}, {"__RealLiteral__": 0, "data": "66.964", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [11, -1]], "trace_display": [-1, 3, 0, -1], "traces": [0, 2, -1, 3, -1, 0, -4, -1, 0, 1, 0, 0, 1, -8, -7, 0, -3, -1, -8, 0, 0, 6, 0, 3, 5, 0, 9, 0, 8, 5, 0, -6, 9, 0, -2, 0, 7, 16, -15, -17, 0, 6, -13, 12, 0, 0, 11, 6, -12, 9, 0, 1, -1, 3, -5, 0, 15, 15, 0, 10, 0, 11, 3, 22, 4, 0, 0, 16, 3, -8, 0, -6, 15, -23, -13, 0, 15, 0, 26, -5, 0, 2, -3, 27, 7, 0, -6, 5, 0, -25, 0, -11, -14, -9, -23, 0, 11, 1, 3, 0, 0, 1, -3, 13, -10, 0, -19, 4, 5, -5, 0, 29, -21, 8, -30, 0, -5, -19, 5, 8, 0, 0, 7, 9, 3, 0, -11, -1, -25, 18, 0, -9, 0, 45, -8, 0, 5, -9, 19, 20, 0, 29, -22, 0, -24, 0, 9, 6, -3, 0, 0, 6, 30, 7, 0, 0, -9, 16, 10, 22, 0, -39, 14, -7, -3, 0, -6, 24, 20, 16, 0, 45, -6, 2, -5, 0, 0, 5, 0, -25, 0, -1, 33, 4, -25, 0, 12, 0, 17, 15, 0, -31, 11, -8, -3, 0, -12, 29, 0, 5, 0, 24, -13, -10, 2, 0, -4, -36, 27, 0, 0, -34, 16, 16, -7, 0, 10, 3, -10, -32, 0, -1, -42, -2, -12, 0, 31, 19, 15, -5, 0, 0, -5, 7, 42, 0, -15, -15, 1, -15, 0, -9, 0, -12, -18, 0, -12, -30, 0, 33, 0, -21, -11, 0, -2, 0, 7, -4, -24, 7, 0, -5, 17, 42, 0, 0, -15, -25, -8, 45, 0, -4, -6, -44, -18, 0, -11, 14, 5, -3, 0, 6, -52, 17, 28, 0, 0, -3, -3, -31, 0, 4, 14, 12, -3, 0, 10, 0, -20, 13, 0, -6, -3, 14, -45, 0, -1, -11, 0, 17, 0, -16, -35, -2, 22, 0, -5, 31, -41, 0, 0, 11, 2, 15, -16, 0, 11, 5, 0, 57, 0, -16, -21, 23, 3, 0, -39, 24, -48, -23, 0, 0, -30, -20, 0, 0, -11, -21, 0, 10, 0, -10, 0, -2, 0, 0, 25, 7, 15, 0, 0, 52, 13, 0, -22, 0, 3, 21, 33, 3, 0, 51, -3, -28, 0, 0, 40, -15, -5, -40, 0, 1, 28, 28, -40, 0, 24, 6, 2, 20, 0, -14, -15, -26, -27, 0, 0, 41, 10, 60, 0, 24, -32, 24, 12, 0, -15, 0, 5, 0, 0, 9, -9, -35, 13, 0, -31, 15, 0, 20, 0, 9, 17, 63, 35, 0, -38, -43, 3, 0, 0, -24, -15, -2, 21, 0, 15, -75, 41, 35, 0, -18, 8, -42, 13, 0, -39, 20, 13, -15, 0, 0, -39, 9, -42, 0, 45, -31, -30, 5, 0, -4, 0, -22, 0, 0, 39, 66, -23, -8, 0, -6, -20, 0, 25, 0, -9, 54, 5, -30, 0, -74, 42, -41, 0, 0, 41, -34, -25, -18, 0, 36, 3, -5, 75, 0, 9, 78, -39, 35, 0, 21, 48, -18, 0, 0, 0, 64, 3, 35, 0, 19, 24, 30, 22, 0, 6, 0, -61, 13, 0, -26, -15, -28, -8, 0, -21, 3, 0, 21, 0, -25, -30, -24, 25, 0, 0, -40, -40, 0, 0, 51, 27, -14, -7, 0, 77, 49, 27, -32, 0, -15, -30, -20, -17, 0, -25, 24, 24, -48, 0, 0, -53, -3, 23, 0, -6, -46, 50, -55, 0, -39, 0, -59, -21, 0, 17, 11, 18, -32, 0, -36, -7, 0, 5, 0, -46, 21, -3, 0, 0, 56, -39, -18, 0, 0, 20, -5, -49, -15, 0, 11, -42, 8, -3, 0, -27, -16, -15, 5, 0, -64, -6, -33, 68, 0, 0, -54, -21, -10, 0, -25, 33, 50, 78, 0, 6, 0, -38, -3, 0, 39, -15, -51, -18, 0, 19, -21, 0, 72, 0, -6, -18, 48, 37, 0, 0, 56, -30, 0, 0, -18, -4, -27, -15, 0, -9, -4, -41, 15, 0, -76, 33, -9, -15, 0, -74, 20, -27, 37, 0, 0, 17, 22, 18, 0, 32, -26, 54, 7, 0, 61, 0, -42, -15, 0, 25, 25, -18, -47, 0, 49, 9, 0, 33, 0, 5, -3, 55, -32, 0, -44, 25, 30, 0, 0, -49, 37, -5, -20, 0, -25, 25, -9, -6, 0, 10, -20, -10, 0, 0, -14, -26, -51, -12, 0, 0, -49, -55, -59, 0, -6, -7, -38, -3, 0, 26, 0, -24, 65, 0, -105, -28, -53, -15, 0, -11, -9, 0, 13, 0, -11, -69, -69, 10, 0, -10, -34, 15, 0, 0, -24, -3, 40, 3, 0, 6, -20, 33, 10, 0, -26, -16, 43, -48, 0, 5, 68, 0, 0, 0, 0, -3, -5, 9, 0, 43, -56, -2, 63, 0, -109, 0, -19, -8, 0, -15, 31, -75, 17, 0, 25, -62, 0, 8, 0, -27, 85, 25, 60, 0, -34, 25, -31, 0, 0, -9, 0, 45, -88, 0, 36, -27, 28, -5, 0, -25, -6, 23, 15, 0, 31, -26, -12, -10, 0, 0, 0, -35, -5, 0, -43, 33, 59, 17, 0, -64, 0, -57, 23, 0, -1, 22, -93, -26, 0, 10, 84, 0, 10, 0, 18, -13, 48, -5, 0, 41, -49, -24, 0, 0, -64, 25, 8, 15, 0, -9, -36, 20, 58, 0, 9, -21, -32, -7, 0, 56, 14, 55, 8, 0, 0, 41, 120, -40, 0, 5, 62, 25, -15, 0, 16, 0, 36, -70, 0, -12, -24, 23, 38, 0, -36, -90, 0, -37, 0, 35, -33, 0, -20, 0, -79, -23, -26, 0, 0, -39, -1, 25, 60, 0, -45, -46, -49, -43, 0, -65, 24, -56, -8, 0, 6, 28, 9, 15, 0, 0, -34, -10, 87, 0, 49, -10, -8, -47, 0, 10, 0, 45, 72, 0, -44, 97, 17, -33, 0, 43, -41, 0, 15, 0, 59, -29, -55, 47, 0, 21, 56, 29, 0, 0, 35, 7, -12, 15, 0, -5, 98, -45, 18, 0, 9, -27, -49, -4, 0, 6, -71, -45, 10, 0, 0, -18, -15, -27, 0, -26, 105, -33, 40, 0, 6, 0, 18, -112, 0, 5, -101, -15, -85, 0, 49, 78, 0, -11, 0, -15, 35, -18, -45, 0, 91, 30, 67, 0, 0, 54, -18, -24, -40, 0, -54, -12, 60, 20, 0, 34, -45, -25, 0, 0, 16, -21, 22, 6, 0, 0, -3, 27, 47, 0, -46, -20, -18, -15, 0, 27, 0, 0, -60, 0, -11, -24, 35, 55, 0, -5, 10, 0, -93, 0, -91, -63, 78, -23, 0, 27, -34, 3, 0, 0, -29, -33, -32, -17, 0, 45, 44, -19, -98, 0, 24, -30, 18, 57, 0, 25, 0, 3, 30, 0, 0, -30, 79, -7, 0, -21, -46, 54, -17, 0, -60, 0, 33, 47, 0, -31, 51, 75, -10, 0, -25, -11, 0, 8, 0, -66, -55, 25, -8, 0, -19, 57, 7, 0, 0, 87, -48, 24, 22, 0, 36, -20, -27, -28, 0, 13, 75, 56, -75, 0, 0, -87, 72, 3, 0, 0, 20, 27, -57, 0, 34, 34, -11, 22, 0, 0, 0, 45, -42, 0, -1, -83, 112, 67, 0, 9, 19, 0, 15, 0, 49, 40, -72, 15, 0, 36, 0, -10, 0, 0, 6, -43, 86, 48, 0, -64, 28, 0, 51, 0, 29, 13, 48, -2, 0, 30, 19, -20, -83, 0, 0, 127, -33, -5, 0, -6, -45, -57, -105, 0, 61, 0, 63, 52, 0, 4, 71, 45, -10, 0, 14, 5, 0, -17, 0, 75, 30, -59, -45, 0, -35, -4, 5, 0, 0, -60, 55, -16, -60, 0, -9, -57, -24, 30, 0, 68, -37, -13, 40, 0, -18, 60, 0, 3, 0, 0, -39, -26, -20, 0, -17, 3, -78, 7, 0, 6, 0, 35, 0, 0, 19, -15, -11, 7, 0, 42, -36, 0, -43, 0, 64, 39, 23, -15, 0, -34, 6, 10, 0, 0, -90, 27, -29, 87, 0, -16, 15, 30, 60, 0, 14, 63, -15, -17, 0, 17, 4, -18, -98, 0, 0, 51, -36, 25, 0, -30, -22, -76, -47, 0, 60, 0, -5, 32, 0, 19, -40, -42, 150, 0, -56, 80, 0, 48, 0, -31, 65, -6, 3, 0, 1, -103, -5, 0, 0, 71, 21, 15, 64, 0, 6, -5, 13, -55, 0, 54, -16, 101, 23, 0, 31, -37, 19, 20, 0, 0, 15, -12, 17, 0, -26, -15, -40, -6, 0, -65, 0, 71, 50, 0, 109, -28, 79, -15, 0, -135, 48, 0, -100, 0, -21, 51, -82, -16, 0, -5, -5, 80, 0, 0, 30, 35, 23, 0, 0, -33, -36, -1, -80, 0, 35, -5, 93, 25, 0, 10, -75, 35, 70, 0, 0, -43, -171, -26, 0, 93, 24, -25, 33, 0, 21, 0, 73, 62, 0, 99, -18, 52, 90, 0, -81, -12, 0, -10, 0, 79, -26, -18, 38, 0, 86, -19, 29, 0, 0, 21, 17, -25, 0, 0, -24, 180, -47, -23, 0, 9, 34, 36, 70, 0, 82, 39, -33, -93, 0, 0, 80, -19, 55, 0, -45, -32, -33, 7, 0, 117, 0, 5, 8, 0, 49, -5, 25, 27, 0, 25, 48, 0, -27, 0, 128, 12, 48, 2, 0, 5, 50, -25, 0, 0, 46, -34, -59, -5, 0, 21, -10, -5, -90, 0, 24, 48, -2, -40, 0, -49, -22, 42, 110, 0, 0, -9, 2, -129, 0, -20, 31, -45, -35, 0, 121, 0, -14, 17, 0, -10, 41, 48, -62, 0, 9, -17, 0, 13, 0, 25, -45, -84, -65, 0, -3, 7, 22, 0, 0, -13, -6, -33, 88, 0, 96, -25, -20, 12, 0, 15, -86, -6, -51, 0, -94, 75, 100, 38, 0, 0, 66, 40, -30, 0, -20, 3, -13, -125, 0, -39, 0, 0, -10, 0, -16, 17, 114, 40, 0, 58, -26, 0, -38, 0, -131, 2, -134, -90, 0, -45, 61, 99, 0, 0, 66, 32, -9, 18, 0, -44, -25, -12, 2, 0, -1, 60, 15, 68, 0, 10, -16, 90, -45, 0, 0, -48, 32, 105, 0, -9, 54, -5, 50, 0, 31, 0, 15, 15, 0, 15, -102, 105, -47, 0, -64, 34, 0, -42, 0, -112, -108, 0, 28, 0, 75, 1, -43, 0, 0, -4, 56, -29, 50, 0, -99, 93, 61, 60, 0, 54, -80, 69, -50, 0, 35, -21, -96, -67, 0, 0, 12, -30, -53, 0, -71, -39, 32, 37, 0, 31, 0, 10, -165, 0, 39, -39, 72, 67, 0, -45, -64, 0, 88, 0, 94, 72, 51, -30, 0, -9, -84, 60, 0, 0, -9, -50, 18, -12, 0, -55, -102, -104, -40, 0, -1, -17, 36, 39, 0, 51, -45, -15, 40, 0, 0, -14, 52, 73, 0, -126, -21, 1, -27, 0, -9, 0, 38, 80, 0, -105, -64, 20, 75, 0, -35, 64, 0, -111, 0, -10, -5, 0, -58, 0, 41, -3, 54, 0, 0, -78, -50, 93, 0, 0, 6, 3, 57, -48, 0, 65, 30, -29, 3, 0, -14, 18, 97, 45, 0, 0, 55, 68, -30, 0, 64, 65, -191, 44, 0, -5, 0, 40, -27, 0, -21, 147, 15, 27, 0, 98, 69, 0, -14, 0, -106, 61, 15, -47, 0, 5, -55, -85, 0, 0, 56, -45, 78, -85, 0, 82, 79, -23, -25, 0, 44, 126, -7, -72, 0, 64, 9, 14, -15, 0, 0, 97, 30, -22, 0, 33, 13, 55, 55, 0, -33, 0, 96, 67, 0, -35, -73, -91, -17, 0, 74, -67, 0, 3, 0, 14, -14, -7, 78, 0, -24, 5, -8, 0, 0, -15, 50, 9, 75, 0, -39, 22, -9, -23, 0, -26, 18, -75, 42, 0, 21, -2, -28, 58, 0, 0, -40, -15, 23, 0, 49, -17, 40, -70, 0, -55, 0, -13, -15, 0, -6, 62, -66, -93, 0, -11, -15, 0, 7, 0, 59, -5, -24, -43, 0, -4, 147, -36, 0, 0, 5, 10, -72, -139, 0, -120, -15, 66, 120, 0, -16, -42, -139, -12, 0, 82, 34, -74, -23, 0, 0, 45, -38, 28, 0, 10, 24, -45, -85, 0, -5, 0, 138, -3, 0, -10, 119, -75, 27, 0, 59, 44, 0, -75, 0, 99, -44, 15, 3, 0, 36, 12, 8, 0, 0, -84, 26, 48, 15, 0, -74, -6, 30, 38, 0, -20, 13, 45, -45, 0, -4, -37, 107, -97, 0, 0, -100, 25, -113, 0, 114, -15, 32, -60, 0, -40, 0, 70, -40, 0, 95, -58, 17, -72, 0, -21, -148, 0, -65, 0, 75, 115, 86, -11, 0, 11, -48, 65, 0, 0, -9, 87, -62, 38, 0, -20, -96, 35, -10, 0, 3, -6, 121, 100, 0, 51, -124, 10, 20, 0, 0, -8, -16, 0, 0, -66, 54, -9, 165, 0, -14, 0, 38, -21, 0, -48, -60, -96, 43, 0, 53, 73, 0, 45, 0, -6, -100, -45, 105, 0, -79, -3, -15, 0, 0, -25, 41, 0, 24, 0, 126, -22, -12, 72, 0, -10, -210, -15, -182, 0, 0, 35, -123, -20, 0, 0, -35, 84, 3, 0, -16, 53, 29, 12, 0, -104, 0, -50, -117, 0, -66, -13, 9, 52, 0, 10, -67, 0, -5, 0, -111, 27, 60, -110, 0, 31, -75, -32, 0, 0, -14, -54, 6, -102, 0, 51, -40, -26, -117, 0, 18, -27, -157, 45, 0, -49, -6, -21, 84, 0, 0, -5, 32, -15, 0, 20, 90, 15, -8, 0, -74, 0, -195, 15, 0, -107, -8, -17, -62, 0, -11, -45, 0, 58, 0, -6, -54, 6, 75, 0, -15, -45, -48, 0, 0, 21, 32, 100, -28, 0, 46, 34, 21, 42, 0, -156, 63, -5, -123, 0, -30, 35, 69, -5, 0, 0, -44, 38, -50, 0, -61, -52, 22, 70, 0, 30, 0, -16, 18, 0, -1, 32, -36, -18, 0, -1, 89, 0, 35, 0, -5, -28, -42, 39, 0, 45, 126, -16, 0, 0, -15, -68, -33, 71, 0, -54, 15, 17, -90, 0, 9, -5, -62, -50, 0, -24, -67, -45, 92, 0, 0, -30, -61, 123, 0, 4, 105, 10, 27, 0, 176, 0, -102, -20, 0, -106, 45, -69, -65, 0, -21, -17, 0, 80, 0, 8, -124, -43, 20, 0, 11, -9, 29, 0, 0, -45, -94, 61, -102, 0, -69, -12, -25, 27, 0, -96, 21, 42, 32, 0, 1, 9, -116, 53, 0, 0, 1, 0, -6, 0, -96, -57, 137, -60, 0, 41, 0, -10, 100, 0, 19, 85, -48, -165, 0, 25, 23, 0, 0, 0, -98, 72, 25, 32, 0, -148, 75, 90, 0, 0, -49, 56, 15, 6, 0, -9, -6, -78, 30, 0, 75, -17, 28, 40, 0, -39, 60, 18, -57, 0, 0, -15, -51, -67, 0, 15, -21, 34, -77, 0, -134, 0, -185, -63, 0, -66, -64, -3, 15, 0, 90, 39, 0, 90, 0, -125, -55, 25, -25, 0, -19, 7, 4, 0, 0, -9, -89, 2, 72, 0, 151, 25, -112, -58, 0, -35, -66, -15, 128, 0, -74, 23, 149, 20, 0, 0, -75, -50, -75, 0, 149, -125, 37, 0, 0, -69, 0, -60, -3, 0, 33, -50, 32, -10, 0, 90, -70, 0, 72, 0, -6, 66, 30, -90, 0, 19, -110, 50, 0, 0, 16, 17, -77, 18, 0, 57, -26, -15, 153, 0, -141, -17, 20, 16, 0, 5, 60, -35, 40, 0, 0, 9, -43, -123, 0, -120, 1, 18, 165, 0, -29, 0, -94, 7, 0, -46, -54, -100, -147, 0, -141, -9, 0, 3, 0, 99, -3, 25, -33, 0, 151, -54, -81, 0, 0, 6, 40, -130, -105, 0, -75, -97, 66, -15, 0, -2, 5, -63, 17, 0, -49, 24, -88, 93, 0, 0, -39, 84, 187, 0, -23, -7, 135, -21, 0, 81, 0, 33, -85, 0, 89, 61, -136, 132, 0, 25, -31, 0, 5, 0, 154, 105, 66, 12, 0, 67, 2, -83, 0, 0, -24, 25, -12, 5, 0, -45, 126, -5, 0, 0, -90, 118, 26, 13, 0, -15, 74, -50, -83, 0, 0, -8, 35, 28, 0, 129, -141, 154, 150, 0, -59, 0, -27, 125, 0, 18, 7, -45, -38, 0, -61, 9, 0, 121, 0, 39, -24, 46, 225, 0, -74, -40, -18, 0, 0, 5, 36, -85, -5, 0, 134, -41, 108, 65, 0, -60, -15, -30, -30, 0, -179, 48, 19, -144, 0, 0, -54, -22, 132, 0, 84, -85, -98, 45, 0, -1, 0, -24, 35, 0, 24, 62, -40, 42, 0, -40, 25, 0, -30, 0, -86, -29, -54, 57, 0, -90, 37, -112, 0, 0, 101, -43, 136, -30, 0, 101, 48, 30, -20, 0, -77, 24, 63, -2, 0, -54, -60, -114, 75, 0, 0, 72, -193, -12, 0, -42, 89, -33, -124, 0, -4, 0, -50, 165, 0, -45, 126, -56, -58, 0, -5, 43, 0, 20, 0, -5, 145, 9, 90, 0, -94, -120, 0, 0, 0, -39, -14, -5, -83, 0, 36, -152, -32, 72, 0, 48, 138, -40, 21, 0, 96, 105, 0, -104, 0, 0, -16, 100, -110, 0, 33, -27, -91, 100, 0, -4, 0, -21, -24, 0, 120, 0, -33, 40, 0, -60, -36, 0, -27, 0, -101, 15, 28, -10, 0, -34, 178, -125, 0, 0, 91, 42, 23, 113, 0, 5, 4, 115, -22, 0, 84, -25, -135, 45, 0, 1, -67, -5, 0, 0, 0, 20, 32, 120, 0, -35, 63, 20, -150, 0, 96, 0, -66, 57, 0, 268, 41, 0, 10, 0, 75, -42, 0, 48, 0, 39, -84, 121, -72, 0, -99, 52, -163, 0, 0, 1, -15, -13, -80, 0, -18, -22, 76, 69, 0, 7, -126, -105, 0, 0, -14, 128, -55, 18, 0, 0, -4, 9, -10, 0, 149, -41, 65, 43, 0, -15, 0, -139, -90, 0, 9, -93, 25, -25, 0, -22, -117, 0, -8, 0, -141, 45, 38, 119, 0, -40, -24, -5, 0, 0, 66, -13, -32, -75, 0, 6, -48, 5, 15, 0, 24, 44, 51, -27, 0, -33, -45, -50, -83, 0, 0, -86, -180, 50, 0, 119, 35, 102, 87, 0, -99, 0, -69, -125, 0, 6, -14, 0, -25, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "275.2.a.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], [1, 0], [0, -1], [1, 1], [-1, 1], [0, 0], [-1, -2], [-2, 3], [-1, 2], [-1, 3], [0, 0], [0, 0], [0, 1], [-3, -2], [-3, -1], [0, 0], [0, -3], [-1, 1], [-3, -2], [-3, 6], [0, 0], [1, 4], [0, 0], [4, -5], [1, 3], [0, 0], [2, 5], [-1, 2], [5, -2], [3, -1], [0, 0], [-3, 0], [5, -1], [0, 0], [-1, 0], [0, 0], [4, -1], [7, 2], [-6, -3], [-5, -7], [0, 0], [3, 0], [-4, -5], [6, 0], [0, 0], [0, 0], [5, 1], [-1, 8], [-3, -6], [6, -3], [0, 0], [0, 1], [1, -3], [-2, 7], [-2, -1], [0, 0], [8, -1], [3, 9], [1, -2], [7, -4], [0, 0], [8, -5], [0, 3], [11, 0], [1, 2], [0, 0], [0, 0], [8, 0], [2, -1], [-1, -6], [0, 0], [-8, 10], [7, 1], [-12, 1], [-2, -9], [0, 0], [9, -3], [0, 0], [7, 12], [-1, -3], [0, 0], [4, -6], [0, -3], [15, -3], [3, 1], [0, 0], [0, -6], [2, 1], [0, 0], [-15, 5], [0, 0], [0, -11], [-9, 4], [-3, -3], [-8, -7], [0, 0], [4, 3], [0, 1], [3, -3], [0, 0], [0, 0]]}