# Stored data for newform 9025.2.a.t, downloaded from the LMFDB on 23 April 2024.
{"label": "9025.2.a.t", "space_label": "9025.2.a", "level": 9025, "weight": 2, "hecke_orbit": 20, "hecke_orbit_code": 85568392953602881, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1036191596010138510, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [1, -3, 1]], [3, [-5, 0, 1]], [7, [-1, 4, 1]], [11, [-19, -2, 1]], [29, [-6, 1]]], "qexp_display": "q+(1+\\beta )q^{2}+(1-2\\beta )q^{3}+3\\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": 36100, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 72.06498782420555, "hecke_ring_index": 1, "level_radical": 95, "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": "0.011", "prec": 17}, "analytic_rank_proved": true, "char_values": [9025, 1, [5777, 3251], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 19], "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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.045", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "70.916", "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], [19, -1]], "trace_display": [3, 0, 0, -4], "traces": [0, 2, 3, 0, 3, 0, -5, -4, 6, 4, 0, 2, -15, -4, -11, 0, 13, -3, 6, 0, 0, 10, 13, 2, -20, 0, -6, 0, -21, 12, 0, 3, 15, -20, -12, 0, 6, 15, 0, 0, 0, -15, 25, 1, 33, 0, -2, -13, -15, 4, 0, 15, -6, -15, 5, 0, -32, 0, 18, -10, 0, 9, -3, -8, 4, 0, -35, -4, -27, 10, 0, -18, 12, -8, 15, 0, 0, -24, 10, 2, 0, -22, -20, -9, 45, 0, 24, 0, 46, -6, 0, 8, -12, 15, -22, 0, -15, 17, 26, 4, 0, 3, 30, 2, -12, 0, -20, -33, 15, -2, 0, 15, -41, -3, 0, 0, 18, -8, -10, 21, 0, 20, -9, -5, -18, 0, -22, -5, -9, -45, 0, -24, -45, 0, -21, 0, -39, -14, 10, -28, 0, 5, -17, -4, 26, 0, -27, -40, 0, -10, 0, -13, 0, -6, -61, 0, 30, 26, 3, -5, 0, 6, -33, -10, -15, 0, -1, -6, 70, -18, 0, 0, 69, 8, -30, 0, 43, -10, 6, 0, 0, -24, 22, 45, -14, 0, 15, -33, -27, -10, 0, -18, -30, 13, 23, 0, 66, -6, 26, 12, 0, 30, -28, -24, 45, 0, -2, 4, -26, 0, 0, -20, -15, -20, -57, 0, 20, 9, 17, 30, 0, 6, -15, 2, -45, 0, -22, 20, 0, 10, 0, 50, 36, -42, -12, 0, 0, 0, 54, -12, 0, -26, 50, 0, -54, 0, 30, 0, -21, -25, 0, 23, -42, -18, 0, 0, -9, 33, -70, -15, 0, 24, -36, -43, -80, 0, 0, -30, -51, -4, 0, -7, -42, -20, -26, 0, 0, 24, -42, 6, 0, 7, 40, 52, 3, 0, -26, 25, 30, -7, 0, 5, -57, -18, -70, 0, 15, 20, -25, -4, 0, -47, 8, 65, 0, 0, -24, -45, -111, 10, 0, 28, 40, -22, 14, 0, 3, 4, 30, 12, 0, 15, 14, 0, -33, 0, -10, -40, -35, 31, 0, -7, 24, 30, -14, 0, 95, 4, -27, 35, 0, -27, 0, -20, 93, 0, 47, -58, -90, 4, 0, 0, 45, 42, 10, 0, 36, -45, 25, 4, 0, 0, -51, -40, 42, 0, 45, -16, -2, -30, 0, 25, 0, 33, -72, 0, -49, -24, -25, -6, 0, -15, -47, 14, -25, 0, 57, 2, 18, 0, 0, 12, 92, 0, -19, 0, 66, 11, 48, 0, 0, 24, 55, -6, -93, 0, -66, -15, 75, 53, 0, 10, -12, 10, -4, 0, -30, 0, 0, -28, 0, -30, -35, -26, -35, 0, 15, 27, -72, 40, 0, 10, 15, 22, 21, 0, 57, 0, 65, 35, 0, 8, 24, -41, -90, 0, 43, 20, -38, 25, 0, -5, -57, -55, 40, 0, 0, -9, 50, -15, 0, 13, 135, 1, 78, 0, -53, -39, -12, 38, 0, 50, -10, 91, -5, 0, 99, -30, -3, -13, 0, -30, -39, -10, 90, 0, 40, 20, -63, -10, 0, -60, 105, -18, 0, 0, -3, 16, -15, 28, 0, 10, 22, 5, -64, 0, -22, 0, 15, -3, 0, 46, -18, 0, 22, 0, -75, -23, -45, -70, 0, 36, 36, 7, -36, 0, -67, 18, -145, -34, 0, -20, 0, 30, -30, 0, -72, -50, 19, 84, 0, 46, -28, 30, -45, 0, -50, -14, -36, 18, 0, 0, 10, -4, 36, 0, -42, 47, -6, -2, 0, 45, 13, -16, 105, 0, 73, 44, -14, 36, 0, 8, -66, 40, 70, 0, 8, 32, 12, -75, 0, -7, -35, -5, -84, 0, -37, -71, -90, 0, 0, 20, 75, -24, 35, 0, -45, -60, 4, -24, 0, -23, -118, -8, 63, 0, 90, 7, 0, 60, 0, 26, -54, 23, -90, 0, -172, -19, 10, 35, 0, -10, 47, -18, 30, 0, -53, 0, -36, 0, 0, -21, 6, 10, 26, 0, 105, -8, 78, -36, 0, 48, 105, 14, 24, 0, 0, -5, -66, 10, 0, -15, 0, -12, -55, 0, -90, -16, 84, -28, 0, -30, -33, -30, 23, 0, 30, 12, -24, -80, 0, -81, 105, 28, -9, 0, -27, 61, 60, -29, 0, -20, -33, 49, 0, 0, -45, -70, 74, 30, 0, 16, 117, -48, -97, 0, -120, 15, -59, -20, 0, -80, -10, 0, 64, 0, 53, 59, 60, -36, 0, 4, 42, 18, -120, 0, 75, -30, -49, -20, 0, 6, 0, 0, -81, 0, -110, 21, 64, -14, 0, -69, 0, -31, -34, 0, 0, -64, -40, -17, 0, 0, 70, 22, 15, 0, 42, -18, -117, 81, 0, 75, -92, 25, -36, 0, -45, -22, -84, -10, 0, 57, -10, -36, -87, 0, -44, 20, 45, -3, 0, 55, 132, 67, 48, 0, 41, 45, -10, 0, 0, 22, 18, 0, 86, 0, 60, -38, -39, 5, 0, 41, 92, -18, -16, 0, 108, -27, 0, 27, 0, -12, -4, -68, 75, 0, 6, -50, -121, 0, 0, -17, -126, 35, 45, 0, 120, 0, 57, 16, 0, -9, 50, -31, -14, 0, 30, 18, -24, 2, 0, 0, -8, -66, 70, 0, 0, -15, -32, 104, 0, 14, -45, -5, -45, 0, -44, -80, -90, 10, 0, 30, 105, -87, 63, 0, -129, -72, 70, 35, 0, -65, -20, -1, 15, 0, 83, -45, 36, 2, 0, 8, 74, 34, 0, 0, 105, -61, 95, 20, 0, 6, 52, -28, 54, 0, -44, 56, -105, -5, 0, -22, 123, 0, 55, 0, -7, -20, 65, 18, 0, 15, -80, 95, -79, 0, -50, -16, 60, 6, 0, 39, 0, 41, 9, 0, 120, 48, -30, -23, 0, 45, -13, 36, 255, 0, 94, 4, 90, 42, 0, 0, -33, -10, -21, 0, -24, 0, 97, 40, 0, 77, 10, -20, -50, 0, 164, 15, -15, 16, 0, -40, 153, 0, -40, 0, 27, -120, -67, 38, 0, -35, -30, -66, -39, 0, -30, -1, 140, 0, 0, -63, 120, 56, -15, 0, -9, -13, 10, 54, 0, -4, -85, 21, 135, 0, -72, -75, 0, -44, 0, -4, 0, 45, 49, 0, 30, -29, -13, -15, 0, 48, 30, 0, -3, 0, -40, 0, -82, 35, 0, 30, -12, 23, 45, 0, 15, -6, 28, 24, 0, 26, 119, -15, -79, 0, 0, -4, -33, 30, 0, 72, -145, 63, -102, 0, -90, 54, -125, 11, 0, 20, 59, 40, 36, 0, 8, 130, -72, -5, 0, -29, -72, 44, 27, 0, -165, -29, -61, 20, 0, 33, -20, -79, 0, 0, 40, 7, 0, -13, 0, 42, -71, 90, -75, 0, 69, 110, 166, 18, 0, -8, 34, 0, -63, 0, 105, -29, -51, 40, 0, -17, -90, -73, 9, 0, -62, -19, -18, -2, 0, 20, 0, -60, 50, 0, -11, 5, 36, 43, 0, -127, -84, -65, 113, 0, -36, 36, -48, 15, 0, 0, 150, -22, 18, 0, 31, -36, 145, -15, 0, 0, 63, -18, 121, 0, -87, 150, 69, 51, 0, 10, 102, -10, -92, 0, 105, 45, 135, 130, 0, 15, -18, 28, 118, 0, 57, 12, -145, 0, 0, 45, -13, 24, -120, 0, -80, 20, -97, 22, 0, 19, -57, 0, -89, 0, -160, -63, 0, -48, 0, -36, 45, 36, 90, 0, 19, 78, 45, -90, 0, 65, -70, 23, -120, 0, 24, 0, -101, 78, 0, 51, 33, 80, -213, 0, -42, -3, 71, -30, 0, -86, 75, 21, 63, 0, 0, 36, 150, -20, 0, -135, 44, -77, -78, 0, -8, 45, -135, -79, 0, 67, -231, -28, 14, 0, 0, 24, 95, -30, 0, 57, -10, -73, 57, 0, -42, 6, 30, 73, 0, -56, -93, -50, 0, 0, -22, -20, -45, -30, 0, -34, -84, 0, 13, 0, 65, 78, 66, -5, 0, -30, 135, 0, -52, 0, 198, 96, -34, -2, 0, -45, 57, 76, 270, 0, 91, -8, 38, -3, 0, 30, 0, 70, -50, 0, -143, 14, -30, -100, 0, 5, -45, 76, -10, 0, 27, 28, -45, 111, 0, 0, -105, -6, -54, 0, 159, -85, 23, -76, 0, 36, -75, 40, -78, 0, -60, -48, -21, -35, 0, 78, 0, -66, -12, 0, -38, 76, -125, -4, 0, -20, -99, -3, 80, 0, 17, -55, -39, 0, 0, -101, -54, 145, 104, 0, 75, -20, -81, -26, 0, 49, -80, -78, -18, 0, 101, -9, 0, 61, 0, -45, -75, -49, -130, 0, 75, 33, 40, 32, 0, -61, -11, 65, 164, 0, -122, 0, -117, -185, 0, 66, -90, -84, 75, 0, -189, 25, 75, 5, 0, -75, -140, 54, -30, 0, 0, -80, 41, 51, 0, -24, 33, 52, 146, 0, 70, 4, 6, -55, 0, 24, 6, -28, 6, 0, 12, -6, -225, 63, 0, 5, 100, -48, -15, 0, -159, 95, -35, -43, 0, -24, 14, -30, 0, 0, 65, -14, -132, 12, 0, -90, -210, 26, 99, 0, 82, -12, -21, 4, 0, 90, -141, 0, 45, 0, -124, -20, -54, 6, 0, -39, -26, -10, -131, 0, -30, 50, -3, 90, 0, -42, 0, -52, 135, 0, 28, 3, 75, 101, 0, -50, 27, -62, -2, 0, -189, 110, 219, -72, 0, 0, 90, -12, -105, 0, -20, -34, -36, 95, 0, -3, -70, -36, 7, 0, -234, -120, 30, -54, 0, -36, 83, 35, 15, 0, -89, -65, -134, -28, 0, 22, -174, -100, 20, 0, 140, -90, 33, 0, 0, 26, 0, 4, 189, 0, 133, -42, 138, -79, 0, 135, 103, 3, 105, 0, -30, 16, 0, 15, 0, -84, -47, -10, 18, 0, 30, -65, 90, 5, 0, 9, 180, -40, -112, 0, -58, 0, 115, 34, 0, 0, 104, -30, 86, 0, 18, 20, -81, -60, 0, -60, 156, 10, 52, 0, 0, -46, 93, 10, 0, -124, 12, -90, -84, 0, -157, -84, 130, -41, 0, 0, 36, 1, -65, 0, -78, -80, -5, 60, 0, -7, -28, 70, -192, 0, 70, 14, 180, -48, 0, 64, 135, -38, 0, 0, 12, -23, 44, -50, 0, -60, 59, -30, 120, 0, -94, -45, -2, -18, 0, 10, 60, 0, -63, 0, -28, -11, 3, 10, 0, 97, -60, -43, 18, 0, -144, 99, 210, 37, 0, -85, 0, -6, -15, 0, -12, 90, 161, 22, 0, 33, 21, -66, -45, 0, -25, 52, -80, -110, 0, 0, -54, -30, -210, 0, -105, 13, -115, 31, 0, -80, 0, 48, 120, 0, -138, -30, 108, 54, 0, -60, -237, -180, -83, 0, 90, 93, 40, -36, 0, -79, -160, 83, -90, 0, 71, -74, 30, 0, 0, -140, 183, -60, -50, 0, 57, 26, 13, -90, 0, 109, 42, 5, 47, 0, 46, -4, 0, 145, 0, 12, 170, -12, -124, 0, 180, -21, 75, -95, 0, -35, 19, 15, 132, 0, 38, 0, 78, 54, 0, 26, -9, -12, 104, 0, -15, -46, -10, -110, 0, 28, -143, 87, 166, 0, 0, 50, 105, -48, 0, 24, 63, 10, -20, 0, 120, 130, -18, -11, 0, -32, 75, -135, -225, 0, 260, 56, -72, -30, 0, -66, 15, -30, 81, 0, 100, 2, -56, 72, 0, -105, 66, -127, 0, 0, 29, -48, 54, -30, 0, -60, 170, -10, 132, 0, -45, -26, -77, 85, 0, 91, 180, 0, -78, 0, 34, -35, 390, 117, 0, -85, 279, -57, -4, 0, 24, -85, 73, -18, 0, -58, 0, -22, -86, 0, -85, -8, 54, 30, 0, -21, -52, 79, -60, 0, 177, -3, 115, -106, 0, 0, 163, -42, -120, 0, 10, 90, -60, -11, 0, 81, 219, 105, 90, 0, -20, 49, 54, -40, 0, 96, -70, 148, 204, 0, 30, -112, -30, -34, 0, 80, 24, 18, -210, 0, -162, 20, 102, 0, 0, 57, -75, 30, 0, 0, -114, 95, -78, -140, 0, 36, -60, 0, -14, 0, 190, 20, 0, -48, 0, 85, -67, -24, 160, 0, 154, 90, -105, 36, 0, 9, 0, 18, -77, 0, 60, 0, 66, -90, 0, -120, 34, 26, -75, 0, -21, -19, 80, 100, 0, -30, -162, 0, -190, 0, 0, -130, -46, 114, 0, -94, -36, 60, -39, 0, 85, 79, 99, 12, 0, -84, 15, 30, 4, 0, -123, -90, 15, 72, 0, 60, 122, 78, 60, 0, 30, 4, 19, -10, 0, 73, -135, -45, 0, 0, -90, -20, 90, 50, 0, -29, 35, -31, -34, 0, 7, -3, 135, 35, 0, -25, -10, 0, -44, 0, 93, 75, -9, 52, 0, -52, 139, 40, 219, 0, 45, -36, -165, -55, 0, 56, 0, 46, -6, 0, -11, -90, 95, -108, 0, 20, 143, -34, -300, 0, 87, 10, -237, 48, 0, 0, -135, 70, 81, 0, -165, 39, 24, -50, 0, 144, 175, -74, 69, 0, 105, -63, 72, -6, 0, -105, 3, -12, 185, 0, -156, -84, -25, -48, 0, -98, -116, 40, -139, 0, 66, 182, 27, 0, 0, -75, -70, -26, -66, 0, -81, -48, -75, 20, 0, -115, 92, 163, 0, 0, -161, -120, 0, 47, 0, 26, 30, 0, 93, 0, -30, 24, -32, 30, 0, 66, 108, 76, -75, 0, 90, 0, -75, 135, 0, -24, 88, -27, 155, 0, 246, 10, 2, -15, 0, -22, 18, -10, -36, 0, 0, -46, -91, -52, 0, 12, 225, 115, -21, 0, -24, -66, 100, 5, 0, -135, -58, -90, -140, 0, -147, 0, 69, 132, 0, 84, -106, 75, -131, 0, -108, 88, -18, 155, 0, -57, 70, 32, 0, 0, -110, -36, 60, -7, 0, 70, -21, 48, -30, 0, 72, -45, 32, -48, 0, 62, -208, 0, -182, 0, -160, 36, 198, 10, 0, 22, -42, -144, -36, 0, -138, 42, -60, 24, 0, 25, 0, 9, 315, 0, -58, -195, 31, -16, 0, 86, 141, 45, -44, 0, 130, 135, 0, 46, 0, 0, 60, 33, 136, 0, -22, 34, 231, 61, 0, -80, -105, -60, 240, 0, 99, -36, 114, 15, 0, -86, 30, 5, 282, 0, 0, -28, -86, 70, 0, 12, 195, 28, 0, 0, 205, -42, 160, 0, 0, 20, 25, -46, -18, 0, 67, -75, 258, -114, 0, 48, 69, 66, -12, 0, -210, 59, 0, -65, 0, -40, 70, 68, -18, 0, -69, 0, -155, 36, 0, -30, -225, 48, 30, 0, -105, 0, 58, -51, 0, -116, -99, 160, -94, 0, -30, -61, -54, -132, 0, -65, -290, 48, -267, 0, 0, 6, -72, 22, 0, 110, 26, 42, 75, 0, 99, -86, -15, 12, 0, 71, 129, -85, 147, 0, 80, -58, -120, -90, 0, -38, 70, 2, -95, 0, 7, 39, -180, 53, 0, -185, 28, 12, 0, 0, -231, -105, 127, 49, 0, 42, 144, 30, 168, 0, 60, -54, -331, 110, 0, -15, -102, 0, 48, 0, -2, -72, -30, 80, 0, -8, -219, 36, 165, 0, -81, 10, 168, 136, 0, 66, 0, 5, -11, 0, 270, -64, 10, -14, 0, 18, -165, 122, 54, 0, -103, -99, -84, 3, 0, 0, -93, 162, -65, 0, -225, 20, -101, 58, 0, -18, 163, -145, -255, 0, -52, -12, 99, 95, 0, -64, 10, -38, -54, 0, 180, -12, -70, 15, 0, 180, 138, 36, 0, 0, -142, 0, 104, 0, 0, 95, -72, 48, 144, 0, 60, 60, 132, 90, 0, -90, -84, 7, -146, 0, -125, -42, 0, -26, 0, -33, 94, 102, 40, 0, -135, -10, -45, 150, 0, 50, -46, 0, -189, 0, 75, 0, 15, 14, 0, -1, 165, 45, 207, 0, 92, 40, -40, -9, 0, 180, 15, -6, 80, 0, 0, 104, -132, -88, 0, 138, 276, 90, 104, 0, 6, -62, -93, 15, 0, 12, -135, -2, 27, 0, 139, -63, 375, 52, 0, -50, 231, -51, -52, 0, 54, 25, -117, -134, 0, -36, 75, 50, 0, 0, 80, -24, -135, -145, 0, 46, -165, -18, 21, 0, -120, -10, -205, 32, 0, -14, 20, 0, -90, 0, 134, -20, -50, -15, 0, -51, 117, -60, 7, 0, -100, -2, 294, -5, 0, -6, 0, -198, -15, 0, 56, -165, -114, 48, 0, 65, 243, -61, -215, 0, 153, -36, -184, 48, 0, 0, 84, -20, -135, 0, 70, 85, -111, -160, 0, -26, -90, 162, -72, 0, -30, 16, 50, -81, 0, -40, 127, 25, 30, 0, -69, 5, -72, 36, 0, 49, -54, 160, 199, 0, -135, -86, 4, 0, 0, 102, -50, -40, -54, 0, -12, 61, 5, -29, 0, -8, -33, 79, -145, 0, -48, 90, 0, 94, 0, -15, -259, -105, -117, 0, 230, -35, 129, -94, 0, -27, 135, 86, 0, 0, -156, 0, 16, -172, 0, -210, 91, 20, -180, 0, -132, -65, -51, 141, 0, 52, 156, -15, -26, 0, 0, -24, -21, 65, 0, 47, -45, 40, -120, 0, 34, 15, -180, 48, 0, -120, 137, -73, 132, 0, 30, 85, 83, -54, 0, -27, -94, -90, -81, 0, 65, -40, 157, 40, 0, 0, -222, 60, 0, 0, -214, 124, -280, 43, 0, -10, 114, -20, -90, 0, -216, -20, 180, 42, 0, 92, -248, 0, 20, 0, 285, 155, -30, 56, 0, -40, -15, 117, -180, 0, 36, 32, -40, 9, 0, 120, 0, 102, -215, 0, -99, -44, 49, -10, 0, -18, -21, -95, 86, 0, 28, -77, 261, -80, 0, 0, 10, 100, -34, 0, 126, -139, -310, 24, 0, -135, 156, -124, 6, 0, 8, -60, 0, -105, 0, -105, -18, 8, -74, 0, -345, -8, 87, -60, 0, -31, -30, -61, 75, 0, -37, -36, 45, 0, 0, 24, -208, 27, 175, 0, -45, -90, -52, -152, 0, -137, -156, 45, 24, 0, 30, 130, 0, -15, 0, 20, 195, -53, -81, 0, -201, -189, 28, -4, 0, 25, -75, -92, -320, 0, -26, 0, 234, -56, 0, 145, 90, -55, 27, 0, -21, 11, 6, -140, 0, -20, 85, 15, -216, 0, 0, 85, 225, 18, 0, 115, -279, 36, -20, 0, -88, 30, 44, 45, 0, -117, -21, 40, -34, 0, 135, 60, -201, 105, 0, -40, -70, 22, 135, 0, 42, -183, 180, 96, 0, 62, -78, -12, 0, 0, -58, -40, 205, 153, 0, -91, 18, 60, 37, 0, 90, -20, 144, -14, 0, -77, -115, 0, 69, 0, -68, 12, 48, -162, 0, -95, -282, 45, 95, 0, 414, -165, -53, -57, 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": "9025.2.a.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, 1], [1, -2], [0, 3], [0, 0], [-1, -3], [-1, -2], [1, 4], [2, 0], [0, 0], [-1, 4], [-6, -3], [-2, 0], [-3, -5], [0, 0], [5, 3], [0, -3], [2, 2], [0, 0], [0, 0], [3, 4], [3, 7], [2, -2], [-7, -6], [0, 0], [-2, -2], [-1, 2], [-6, -9], [6, 0], [0, 0], [3, -3], [6, 3], [-9, -2], [-3, -6], [0, 0], [0, 6], [9, -3], [0, 0], [-2, 4], [0, 0], [-8, 1], [7, 11], [-4, 9], [12, 9], [0, 0], [0, -2], [-6, -1], [-1, -13], [-2, 8], [0, 0], [6, 3], [0, -6], [-8, 1], [1, 3], [0, 0], [-9, -14], [0, 0], [6, 6], [-6, 2], [0, 0], [9, -9], [0, -3], [-2, -4], [-1, 6], [0, 0], [-11, -13], [1, -6], [-9, -9], [6, -2], [0, 0], [-11, 4], [2, 8], [-1, -6], [6, 3], [0, 0], [0, 0], [-7, -10], [2, 6], [1, 0], [0, 0], [-11, 0], [-7, -6], [-7, 5], [12, 21], [0, 0], [5, 14], [6, -12], [15, 16], [-6, 6], [0, 0], [2, 4], [-6, 0], [9, -3], [-7, -8], [0, 0], [0, -15], [9, -1], [6, 14], [-2, 8], [0, 0]]}