# Stored data for newform 5625.2.a.m, downloaded from the LMFDB on 20 April 2024.
{"label": "5625.2.a.m", "space_label": "5625.2.a", "level": 5625, "weight": 2, "hecke_orbit": 13, "hecke_orbit_code": 54043195562006009, "dim": 4, "is_polredabs": true, "nf_label": "4.4.1125.1", "trace_hash": 1520204352203490530, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 4, -4, -1, 1]], [7, [-5, -10, 0, 5, 1]]], "qexp_display": "q+(-\\beta _{2}-\\beta _{3})q^{2}+\\beta _{1}q^{4}+(-2-\\beta _{2}+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 22500, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 44.91585113697022, "hecke_ring_index": 1, "level_radical": 15, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 15, "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": "0.006", "prec": 17}, "analytic_rank_proved": true, "char_values": [5625, 1, [4376, 1252], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 1125, "field_disc_factorization": [[3, 2], [5, 3]], "field_poly": [1, 4, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.743", "prec": 17}, {"__RealLiteral__": 0, "data": "0.068", "prec": 17}, {"__RealLiteral__": 0, "data": "40.735", "prec": 20}, {"__RealLiteral__": 0, "data": "10.827", "prec": 20}, {"__RealLiteral__": 0, "data": "683.708", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, -1]], "trace_display": [1, 0, 0, -5], "traces": [0, 4, 1, 0, 1, 0, 0, -5, -3, 0, 0, 6, 0, -7, 10, 0, -9, -7, 0, -9, 0, 0, -6, 10, 0, 0, 2, 0, -5, 28, 0, -10, 0, 0, 7, 0, 0, 10, -6, 0, 0, 0, 0, -1, 9, 0, 5, -23, 0, -3, 0, 0, -13, 0, 0, 0, 0, 0, 2, -4, 0, -43, -10, 0, -7, 0, 0, -8, -3, 0, 0, 27, 0, -15, -5, 0, 9, -15, 0, 10, 0, 0, 20, 3, 0, 0, -24, 0, 3, 9, 0, 5, -15, 0, -22, 0, 0, -13, -42, 0, 0, 21, 0, -16, -6, 0, -50, -33, 0, -39, 0, 0, 15, -42, 0, 0, 12, 0, -6, 5, 0, -20, 8, 0, -25, 0, 0, -8, 22, 0, 0, 3, 0, 15, -27, 0, -16, 36, 0, 9, 0, 0, 13, -33, 0, 0, 15, 0, 40, 42, 0, 8, 18, 0, 45, 0, 0, -16, -20, 0, 0, -5, 0, -9, 25, 0, -3, -10, 0, 9, 0, 0, -14, 43, 0, 0, -21, 0, -14, -30, 0, -20, -55, 0, -5, 0, 0, -33, -42, 0, 0, -14, 0, 7, -22, 0, 33, -31, 0, -7, 0, 0, -31, -35, 0, 0, -64, 0, 27, 9, 0, 15, 5, 0, 33, 0, 0, 5, -36, 0, 0, 61, 0, -27, -45, 0, -8, -5, 0, -26, 0, 0, -11, 31, 0, 0, -26, 0, -50, 9, 0, -11, -35, 0, -7, 0, 0, -33, 15, 0, 0, 42, 0, 0, 33, 0, 47, -28, 0, -50, 0, 0, 7, -26, 0, 0, 15, 0, -22, -26, 0, 44, -3, 0, 24, 0, 0, -19, 21, 0, 0, 9, 0, -72, -37, 0, 3, 15, 0, 13, 0, 0, -15, -36, 0, 0, -30, 0, 8, 5, 0, -40, 7, 0, 9, 0, 0, -32, -30, 0, 0, -54, 0, -24, -4, 0, 25, 27, 0, 57, 0, 0, -10, -33, 0, 0, -36, 0, -25, 25, 0, -2, 57, 0, 45, 0, 0, 56, 36, 0, 0, -30, 0, -25, 7, 0, -18, -57, 0, -13, 0, 0, 15, -63, 0, 0, 11, 0, -25, 21, 0, -7, 0, 0, 20, 0, 0, -44, 15, 0, 0, -60, 0, -26, 3, 0, 46, -79, 0, 10, 0, 0, -21, -56, 0, 0, 28, 0, 53, 6, 0, -15, 21, 0, 16, 0, 0, 23, -43, 0, 0, 3, 0, 55, -26, 0, 95, 30, 0, 24, 0, 0, -4, 35, 0, 0, 15, 0, 21, 9, 0, 16, 75, 0, 40, 0, 0, 80, 3, 0, 0, 10, 0, 41, -55, 0, -6, -45, 0, 20, 0, 0, 44, 12, 0, 0, -48, 0, 20, -53, 0, 0, -13, 0, -45, 0, 0, -10, 21, 0, 0, -13, 0, 19, -63, 0, 69, -33, 0, -5, 0, 0, 43, -9, 0, 0, 15, 0, 106, -60, 0, -10, -19, 0, 25, 0, 0, -13, 21, 0, 0, 8, 0, -84, -57, 0, 75, -30, 0, 66, 0, 0, 18, 17, 0, 0, 0, 0, -22, 21, 0, 75, -51, 0, -57, 0, 0, -42, 85, 0, 0, 15, 0, 14, -13, 0, -9, 25, 0, -32, 0, 0, 0, -15, 0, 0, 41, 0, -129, 48, 0, -45, 11, 0, 20, 0, 0, 30, 54, 0, 0, -33, 0, -20, 79, 0, 21, -32, 0, 58, 0, 0, -14, -27, 0, 0, -18, 0, -29, 24, 0, -51, -42, 0, 5, 0, 0, 37, 27, 0, 0, 0, 0, 45, 30, 0, 61, -68, 0, -15, 0, 0, -120, -69, 0, 0, 28, 0, 10, 12, 0, 9, 0, 0, -48, 0, 0, -33, -15, 0, 0, 59, 0, 82, -38, 0, -15, -29, 0, -26, 0, 0, 14, -45, 0, 0, -6, 0, -34, 50, 0, 8, 30, 0, 3, 0, 0, -36, -42, 0, 0, 20, 0, 34, 15, 0, -72, 48, 0, 9, 0, 0, 54, -11, 0, 0, -75, 0, -85, -15, 0, 23, 7, 0, 9, 0, 0, 60, -5, 0, 0, -72, 0, -50, -11, 0, 51, 24, 0, 5, 0, 0, 0, 24, 0, 0, 50, 0, 36, -30, 0, -31, -13, 0, -48, 0, 0, 35, 58, 0, 0, -12, 0, -30, -48, 0, -37, -75, 0, -19, 0, 0, -8, 20, 0, 0, -5, 0, 79, -33, 0, -55, 62, 0, -70, 0, 0, -11, 30, 0, 0, 38, 0, -6, -1, 0, -20, 3, 0, -61, 0, 0, 100, 51, 0, 0, 31, 0, -27, 90, 0, -101, 153, 0, -11, 0, 0, -31, -15, 0, 0, -16, 0, 0, 29, 0, 36, -53, 0, -2, 0, 0, -47, -126, 0, 0, 36, 0, 109, 15, 0, -12, 25, 0, -42, 0, 0, -62, 21, 0, 0, 45, 0, 64, -78, 0, -43, 52, 0, -6, 0, 0, -33, -15, 0, 0, 55, 0, 8, 105, 0, 53, -45, 0, -90, 0, 0, -54, -24, 0, 0, 39, 0, 22, 57, 0, -15, -27, 0, 45, 0, 0, 76, -21, 0, 0, 6, 0, 56, -30, 0, 100, 74, 0, -15, 0, 0, -20, 30, 0, 0, -50, 0, -9, -130, 0, -9, -3, 0, 10, 0, 0, -180, 76, 0, 0, -36, 0, 20, 75, 0, -1, 33, 0, -30, 0, 0, -40, 130, 0, 0, 19, 0, 19, 39, 0, 3, 72, 0, 55, 0, 0, 42, 33, 0, 0, 10, 0, -82, -85, 0, -65, 30, 0, 19, 0, 0, 73, 95, 0, 0, -33, 0, 72, -20, 0, -19, 0, 0, -35, 0, 0, 108, 54, 0, 0, 91, 0, -5, -16, 0, 48, 89, 0, 3, 0, 0, 36, 0, 0, 0, 75, 0, -50, 99, 0, -81, 6, 0, -45, 0, 0, 35, 12, 0, 0, 26, 0, -50, -45, 0, -24, 95, 0, 21, 0, 0, 32, 30, 0, 0, -45, 0, 30, 63, 0, 78, 43, 0, 21, 0, 0, 112, 70, 0, 0, 19, 0, -12, 25, 0, -7, 15, 0, -35, 0, 0, -56, 39, 0, 0, 60, 0, -118, 18, 0, -47, 30, 0, -70, 0, 0, -15, -72, 0, 0, -19, 0, 74, -36, 0, 22, -60, 0, -28, 0, 0, -130, 13, 0, 0, 74, 0, 26, 27, 0, -95, 79, 0, -33, 0, 0, 40, -90, 0, 0, 56, 0, -11, 64, 0, 85, 26, 0, 35, 0, 0, -10, -18, 0, 0, 86, 0, 14, -30, 0, -65, 63, 0, -5, 0, 0, 93, 55, 0, 0, -4, 0, -123, -144, 0, 15, 0, 0, -4, 0, 0, 25, 111, 0, 0, 1, 0, 32, 105, 0, -57, 72, 0, -10, 0, 0, 3, -74, 0, 0, 130, 0, 24, 50, 0, 24, -3, 0, -3, 0, 0, 2, 162, 0, 0, 69, 0, -22, -19, 0, -183, -75, 0, -33, 0, 0, 27, 21, 0, 0, 18, 0, 111, -56, 0, -45, 51, 0, 21, 0, 0, -100, 10, 0, 0, -156, 0, -1, 118, 0, -28, 3, 0, 108, 0, 0, 135, -22, 0, 0, -120, 0, 75, 65, 0, 67, -19, 0, 33, 0, 0, -72, -15, 0, 0, -29, 0, 30, 105, 0, 89, -2, 0, -5, 0, 0, -64, 123, 0, 0, 15, 0, 213, -51, 0, 19, -69, 0, -50, 0, 0, 19, -16, 0, 0, -80, 0, -58, 93, 0, -48, 57, 0, -10, 0, 0, 31, -21, 0, 0, -47, 0, 52, 102, 0, -48, 60, 0, -1, 0, 0, 126, 91, 0, 0, -75, 0, -78, 49, 0, 55, -32, 0, -74, 0, 0, 54, 45, 0, 0, -18, 0, 100, -63, 0, -131, 22, 0, -30, 0, 0, 10, -57, 0, 0, -90, 0, 33, 126, 0, 78, -60, 0, -9, 0, 0, -75, -6, 0, 0, 41, 0, 10, 102, 0, 11, -27, 0, 52, 0, 0, 39, 66, 0, 0, -18, 0, -115, 18, 0, -79, 78, 0, 60, 0, 0, -25, 27, 0, 0, 45, 0, -70, -4, 0, 52, 27, 0, 82, 0, 0, -16, -108, 0, 0, -51, 0, 85, 20, 0, -35, 10, 0, 13, 0, 0, 117, -145, 0, 0, -115, 0, -6, -162, 0, 70, -33, 0, 91, 0, 0, 40, 125, 0, 0, 38, 0, -156, -60, 0, -29, 19, 0, 132, 0, 0, -100, 36, 0, 0, 100, 0, 140, 65, 0, -24, 61, 0, -1, 0, 0, 105, 12, 0, 0, 54, 0, -10, -45, 0, -27, -57, 0, 87, 0, 0, 17, -115, 0, 0, -75, 0, 3, -100, 0, -99, 13, 0, 50, 0, 0, 102, 34, 0, 0, 9, 0, -23, -39, 0, -20, -83, 0, -105, 0, 0, 65, -56, 0, 0, -16, 0, 108, 69, 0, -18, 65, 0, -43, 0, 0, -122, -10, 0, 0, -61, 0, 45, -74, 0, -15, 170, 0, -19, 0, 0, 137, 0, 0, 0, -24, 0, 84, 111, 0, 34, -15, 0, -18, 0, 0, 90, -49, 0, 0, -12, 0, -88, -115, 0, -121, -47, 0, -18, 0, 0, -104, 24, 0, 0, 21, 0, -135, -16, 0, 90, -89, 0, -5, 0, 0, 69, -111, 0, 0, -12, 0, 13, 11, 0, 5, 120, 0, -30, 0, 0, 1, -92, 0, 0, -60, 0, 38, 36, 0, 116, 11, 0, -117, 0, 0, 35, 117, 0, 0, 20, 0, 1, 21, 0, 56, -50, 0, 23, 0, 0, -57, -21, 0, 0, 74, 0, -15, -29, 0, -30, -33, 0, 65, 0, 0, 16, 150, 0, 0, 30, 0, -10, -8, 0, 2, 132, 0, 99, 0, 0, -125, 54, 0, 0, -104, 0, -68, -95, 0, 20, 69, 0, 23, 0, 0, 65, -14, 0, 0, 27, 0, 85, -138, 0, 135, -75, 0, 29, 0, 0, 100, 99, 0, 0, 39, 0, -100, -137, 0, -92, 177, 0, -20, 0, 0, -53, 105, 0, 0, -5, 0, 155, -66, 0, 111, -6, 0, 48, 0, 0, 136, 45, 0, 0, -17, 0, 81, -101, 0, 59, 55, 0, -93, 0, 0, -9, 45, 0, 0, -48, 0, -176, -16, 0, 81, -65, 0, -33, 0, 0, -33, 105, 0, 0, 16, 0, -130, -15, 0, -24, -30, 0, -51, 0, 0, -50, -45, 0, 0, -39, 0, -68, 55, 0, 130, -82, 0, -17, 0, 0, 65, 36, 0, 0, -36, 0, 95, 19, 0, 22, 18, 0, 98, 0, 0, -28, 100, 0, 0, -117, 0, 170, -25, 0, -136, -84, 0, 15, 0, 0, -11, 153, 0, 0, 15, 0, -30, -245, 0, -24, 36, 0, 84, 0, 0, 133, 45, 0, 0, -32, 0, -109, -25, 0, -75, 15, 0, 17, 0, 0, -94, -95, 0, 0, 56, 0, -77, -301, 0, 15, 48, 0, 118, 0, 0, 23, -120, 0, 0, -93, 0, -144, 39, 0, 57, -101, 0, 25, 0, 0, -55, 54, 0, 0, -42, 0, -80, -25, 0, -46, 90, 0, 30, 0, 0, -102, 87, 0, 0, -70, 0, 165, 97, 0, -10, -20, 0, 99, 0, 0, -52, -45, 0, 0, 3, 0, 15, 55, 0, 31, 17, 0, -35, 0, 0, -60, -80, 0, 0, 25, 0, 183, -47, 0, 101, -30, 0, -13, 0, 0, 46, 102, 0, 0, -99, 0, 96, 36, 0, -16, 42, 0, -112, 0, 0, -27, -117, 0, 0, -85, 0, 16, 129, 0, -10, -24, 0, 177, 0, 0, -30, -95, 0, 0, 30, 0, -95, -100, 0, 70, -6, 0, -6, 0, 0, -70, -210, 0, 0, -39, 0, 72, 0, 0, -182, 27, 0, -105, 0, 0, -98, 114, 0, 0, -10, 0, 135, -111, 0, 121, 69, 0, -115, 0, 0, -170, -23, 0, 0, -51, 0, -114, 158, 0, 0, -6, 0, 125, 0, 0, -115, -31, 0, 0, 45, 0, -2, 105, 0, -32, -60, 0, -48, 0, 0, 51, -81, 0, 0, 15, 0, 106, -63, 0, -55, -60, 0, 0, 0, 0, -31, 82, 0, 0, 96, 0, 10, -30, 0, 75, -58, 0, 10, 0, 0, -96, 20, 0, 0, -120, 0, 2, -9, 0, -51, 61, 0, 102, 0, 0, -165, 53, 0, 0, -127, 0, 21, 0, 0, 77, 48, 0, 60, 0, 0, 22, -100, 0, 0, 97, 0, 10, 15, 0, -68, 67, 0, 11, 0, 0, 33, 78, 0, 0, -11, 0, 81, 114, 0, 178, -17, 0, 105, 0, 0, 5, 20, 0, 0, 135, 0, -26, -70, 0, 61, 5, 0, 134, 0, 0, 156, -119, 0, 0, -76, 0, -108, 74, 0, 54, 15, 0, -139, 0, 0, 95, 3, 0, 0, 100, 0, 11, 80, 0, 110, 12, 0, -174, 0, 0, -109, -25, 0, 0, 12, 0, -9, -47, 0, 39, 15, 0, 17, 0, 0, 72, 105, 0, 0, 2, 0, -165, -95, 0, -118, -60, 0, -63, 0, 0, 49, -12, 0, 0, 81, 0, -45, 18, 0, 75, -70, 0, -3, 0, 0, -50, -65, 0, 0, 1, 0, 4, 20, 0, -100, 57, 0, -50, 0, 0, 137, -69, 0, 0, 102, 0, -141, 64, 0, 19, -70, 0, 0, 0, 0, -39, -48, 0, 0, 55, 0, -125, -65, 0, -11, 105, 0, 10, 0, 0, 44, -265, 0, 0, 73, 0, 135, 12, 0, 30, -201, 0, 63, 0, 0, -11, -130, 0, 0, 60, 0, -34, 63, 0, 29, -164, 0, 163, 0, 0, -65, -57, 0, 0, -52, 0, 30, -45, 0, -172, -129, 0, -54, 0, 0, 31, 47, 0, 0, -145, 0, -135, -7, 0, 62, 48, 0, 30, 0, 0, 141, 7, 0, 0, -53, 0, -23, -64, 0, 77, 27, 0, 0, 0, 0, -115, -177, 0, 0, 30, 0, 15, 39, 0, -126, -224, 0, -147, 0, 0, -5, 113, 0, 0, 6, 0, 1, 125, 0, -3, 135, 0, -24, 0, 0, -123, 138, 0, 0, 145, 0, -36, 50, 0, 5, -45, 0, 90, 0, 0, -24, -39, 0, 0, 21, 0, 88, 61, 0, 3, -31, 0, 107, 0, 0, -35, 72, 0, 0, -30, 0, 115, -60, 0, -3, -45, 0, -18, 0, 0, 60, -12, 0, 0, -150, 0, -120, 105, 0, -88, 123, 0, -23, 0, 0, 36, -22, 0, 0, -90, 0, 230, 147, 0, 0, -26, 0, -40, 0, 0, -121, -87, 0, 0, 60, 0, 65, -40, 0, 39, -41, 0, 147, 0, 0, -4, 150, 0, 0, 125, 0, -132, -162, 0, 12, 45, 0, -109, 0, 0, -40, 3, 0, 0, 18, 0, -39, 204, 0, 116, 131, 0, 156, 0, 0, 96, 25, 0, 0, -6, 0, -27, 141, 0, 72, 69, 0, -125, 0, 0, 120, 33, 0, 0, -137, 0, -87, -30, 0, 84, -72, 0, 23, 0, 0, 67, -30, 0, 0, 34, 0, 50, 171, 0, -54, -131, 0, -85, 0, 0, 43, 27, 0, 0, -6, 0, 78, 21, 0, -105, -27, 0, -165, 0, 0, 98, -111, 0, 0, 90, 0, -90, 9, 0, 31, -37, 0, -155, 0, 0, -210, -88, 0, 0, 48, 0, 23, -48, 0, 110, -70, 0, -233, 0, 0, 75, 64, 0, 0, 60, 0, 117, 18, 0, -10, -105, 0, -46, 0, 0, 66, 45, 0, 0, -180, 0, -87, -54, 0, -141, -119, 0, 87, 0, 0, 20, 0, 0, 0, 114, 0, 44, -210, 0, -24, -54, 0, 36, 0, 0, -110, -75, 0, 0, 72, 0, -69, -36, 0, -79, 6, 0, -70, 0, 0, -125, 129, 0, 0, 13, 0, 39, 115, 0, 91, 66, 0, 70, 0, 0, -54, -180, 0, 0, -15, 0, 43, -126, 0, 53, -266, 0, 141, 0, 0, -14, -103, 0, 0, 13, 0, -67, 36, 0, -54, 225, 0, -100, 0, 0, 58, -51, 0, 0, 145, 0, -81, -43, 0, 100, 21, 0, -113, 0, 0, -97, -135, 0, 0, -23, 0, -68, 80, 0, 208, -45, 0, -54, 0, 0, -5, 21, 0, 0, 40, 0, 169, 65, 0, 66, -102, 0, 37, 0, 0, -69, -51, 0, 0, -24, 0, 10, 6, 0, -15, 93, 0, -98, 0, 0, 6, -129, 0, 0, 195, 0, -110, 178, 0, -164, -15, 0, 75, 0, 0, 158, 187, 0, 0, 115, 0, 89, -108, 0, -80, -228, 0, 64, 0, 0, 150, -7, 0, 0, 38, 0, -153, 43, 0, -240, -80, 0, -144, 0, 0, 55, -94, 0, 0, 243, 0, -69, -80, 0, -70, 18, 0, 5, 0, 0, -53, 60, 0, 0, -124, 0, 15, -39, 0, -190, -49, 0, -139, 0, 0, -15, -192, 0, 0, -6, 0, -30, -30, 0, -36, -145, 0, -57, 0, 0, 8, 42, 0, 0, -5, 0, -65, -15, 0, 123, -111, 0, -204, 0, 0, 5, -18, 0, 0, -18, 0, 208, 150, 0, 9, -55, 0, -160, 0, 0, -159, -110, 0, 0, 5, 0, -125, -36, 0, 10, -79, 0, 102, 0, 0, -38, -57, 0, 0, 36, 0, 71, 52, 0, -50, -45, 0, 78, 0, 0, -45, -1, 0, 0, 138, 0, -65, 106, 0, 10, -141, 0, 101, 0, 0, 18, -80, 0, 0, -162, 0, -67, 138, 0, -126, 42, 0, 95, 0, 0, -324, -30, 0, 0, -17, 0, 85, -180, 0, -201, -45, 0, -7, 0, 0, 88, 60, 0, 0, -111, 0, -60, 105, 0, -109, 191, 0, -138, 0, 0, -92, -27, 0, 0, 18, 0, -69, 54, 0, 72, 3, 0, -115, 0, 0, -192, -111, 0, 0, -87, 0, -9, -43, 0, 150, 120, 0, -24, 0, 0, 16, -98, 0, 0, -15, 0, -89, -8, 0, -110, 180, 0, 145, 0, 0, 51, -101, 0, 0, 20, 0, -5, 62, 0, -15, -206, 0, 127, 0, 0, 36, -15, 0, 0, 28, 0, 29, 201, 0, -119, -9, 0, 80, 0, 0, 145, -33, 0, 0, -55, 0, -112, -105, 0, -19, -113, 0, 81, 0, 0, 132, 135, 0, 0, 183, 0, -35, 45, 0, 114, -11, 0, 12, 0, 0, 23, -102, 0, 0, 36, 0, -114, 12, 0, 176, -82, 0, -39, 0, 0, 108, -15, 0, 0, 120, 0, -209, 11, 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": "1875.2.a.f", "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, 0], [1, 0, 0, 0], [0, 0, -1, -1], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 0, -1, -2], [-1, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [1, 1, 1, 0], [0, 0, 0, 0], [0, -2, -1, 2], [2, 2, 2, 1], [0, 0, 0, 0], [-2, -2, 1, 0], [0, -1, -2, 2], [0, 0, 0, 0], [-4, 2, 1, -2], [0, 0, 0, 0], [0, 0, 0, 0], [-3, 0, -2, -4], [3, -2, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [4, -2, 2, 7], [0, 0, 0, 0], [-2, -1, -2, -3], [6, 1, 1, -1], [0, 0, 0, 0], [-1, -3, 1, 2], [2, 0, 2, 5], [0, 0, 0, 0], [5, -2, 1, 6], [0, 0, 0, 0], [0, 0, 0, 0], [4, 3, -1, 4], [-4, 2, 2, -3], [0, 0, 0, 0], [0, 0, 0, 0], [-1, 3, -3, -2], [0, 0, 0, 0], [3, -3, 2, 6], [2, 2, 1, 1], [0, 0, 0, 0], [2, 0, -1, 1], [-5, -4, 3, 1], [0, 0, 0, 0], [0, 3, 4, 5], [0, 0, 0, 0], [0, 0, 0, 0], [-2, -3, 0, 1], [1, 0, 6, 5], [0, 0, 0, 0], [0, 0, 0, 0], [1, -1, -1, 1], [0, 0, 0, 0], [-3, 1, -7, -10], [-4, -1, 3, -5], [0, 0, 0, 0], [-12, 1, -2, -3], [1, -2, 4, 8], [0, 0, 0, 0], [0, -1, -4, 1], [0, 0, 0, 0], [0, 0, 0, 0], [-2, -2, 4, 1], [0, -4, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [10, -6, -1, 3], [0, 0, 0, 0], [-8, 1, 0, -8], [-1, -4, -7, -5], [0, 0, 0, 0], [2, -1, 0, -1], [-5, -2, -5, -6], [0, 0, 0, 0], [-1, 4, 4, -3], [0, 0, 0, 0], [0, 0, 0, 0], [3, 2, -2, -4], [-4, 8, 1, -5], [0, 0, 0, 0], [0, 0, 0, 0], [-1, -6, 0, 7], [0, 0, 0, 0], [2, -1, 0, 2], [4, 0, 1, 4], [0, 0, 0, 0], [3, 1, 6, 7], [-4, 3, -2, 0], [0, 0, 0, 0], [-2, -1, 9, 11], [0, 0, 0, 0], [0, 0, 0, 0], [-8, 8, 3, -4], [-11, -5, -3, -5], [0, 0, 0, 0], [0, 0, 0, 0]]}