# Stored data for newform 1815.2.a.t, downloaded from the LMFDB on 23 April 2024.
{"label": "1815.2.a.t", "space_label": "1815.2.a", "level": 1815, "weight": 2, "hecke_orbit": 20, "hecke_orbit_code": 85568392953595671, "dim": 4, "is_polredabs": true, "nf_label": "4.4.7056.1", "trace_hash": 1659971871668738379, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, 0, -5, 0, 1]], [7, [16, 0, -20, 0, 1]]], "qexp_display": "q+\\beta _{3}q^{2}+q^{3}-\\beta _{2}q^{4}-q^{5}+\\beta _{3}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7260, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 14.49284796686239, "hecke_ring_index": 1, "level_radical": 165, "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": "0.508", "prec": 17}, "analytic_rank_proved": true, "char_values": [1815, 1, [1211, 727, 1696], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [3, 5, 11], "conrey_indexes": [1], "field_disc": 7056, "field_disc_factorization": [[2, 4], [3, 2], [7, 2]], "field_poly": [1, 0, -5, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.739", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "77.758", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2328.271", "prec": 27}], "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], [11, 1]], "trace_display": [0, 4, -4, 0], "traces": [0, 4, 0, 4, 2, -4, 0, 0, 0, 4, 0, 0, 2, 0, 8, -4, 2, 0, 0, 0, -2, 0, 0, 16, 0, 4, 20, 4, 0, 0, 0, -16, 0, 0, -6, 0, 2, 12, 12, 0, 0, 0, 8, 0, 0, -4, 0, 32, 2, 12, 0, 0, 0, 12, 0, 0, -12, 0, 36, 36, -2, 0, 0, 0, -32, 0, 0, -36, 0, 16, -8, 32, 0, 0, 0, 4, 0, 0, 20, 0, -2, 4, -12, 0, 0, 0, -36, 0, 0, 4, 0, 16, 50, -16, 0, 0, 0, 36, 0, 0, 2, 0, -6, -8, 12, 0, 0, 0, 2, 0, 0, 12, 0, 36, 12, -16, 0, 0, 0, 12, 0, 0, -34, 0, 34, -4, 8, 0, 0, 0, -20, 0, 0, -24, 0, -4, -12, -4, 0, 0, 0, 32, 0, 0, 2, 0, -64, 12, -36, 0, 0, 0, 24, 0, 0, 16, 0, -12, -26, 12, 0, 0, 0, -28, 0, 0, -84, 0, -12, -12, 6, 0, 0, 0, 36, 0, 0, 36, 0, 12, -2, 16, 0, 0, 0, -12, 0, 0, 58, 0, -12, -36, -32, 0, 0, 0, -78, 0, 0, -8, 0, -36, 40, 96, 0, 0, 0, 16, 0, 0, -8, 0, -78, 32, 22, 0, 0, 0, 24, 0, 0, -12, 0, 8, 28, 4, 0, 0, 0, 68, 0, 0, -12, 0, 20, -32, -24, 0, 0, 0, -2, 0, 0, 4, 0, -12, -12, 24, 0, 0, 0, -4, 0, 0, -4, 0, -2, 60, -36, 0, 0, 0, 20, 0, 0, -12, 0, 4, -60, -72, 0, 0, 0, 16, 0, 0, 50, 0, -50, -16, 12, 0, 0, 0, 16, 0, 0, 24, 0, -56, -36, 36, 0, 0, 0, -36, 0, 0, -60, 0, 2, -96, -50, 0, 0, 0, -6, 0, 0, -8, 0, -28, 12, 4, 0, 0, 0, 84, 0, 0, 32, 0, 32, -24, 2, 0, 0, 0, -24, 0, 0, 56, 0, 12, 54, 36, 0, 0, 0, 36, 0, 0, 12, 0, 12, -16, 24, 0, 0, 0, 8, 0, 0, 108, 0, -32, -124, 12, 0, 0, 0, -28, 0, 0, 8, 0, -34, -60, -34, 0, 0, 0, 34, 0, 0, -4, 0, 72, 8, -8, 0, 0, 0, -48, 0, 0, -80, 0, 60, -36, -20, 0, 0, 0, -96, 0, 0, 56, 0, -24, 2, -16, 0, 0, 0, -4, 0, 0, -12, 0, 12, -4, -88, 0, 0, 0, -56, 0, 0, 56, 0, -84, 58, 32, 0, 0, 0, -44, 0, 0, 36, 0, 2, -36, -32, 0, 0, 0, -64, 0, 0, 12, 0, -8, -36, -4, 0, 0, 0, 48, 0, 0, 18, 0, -46, -16, 24, 0, 0, 0, -50, 0, 0, -32, 0, 16, -90, -32, 0, 0, 0, -12, 0, 0, -26, 0, -36, 12, -108, 0, 0, 0, -2, 0, 0, -36, 0, -4, -12, -28, 0, 0, 0, 12, 0, 0, -50, 0, -84, 32, -2, 0, 0, 0, -12, 0, 0, -12, 0, -52, 6, 16, 0, 0, 0, 8, 0, 0, 24, 0, -12, 92, 36, 0, 0, 0, -30, 0, 0, 56, 0, 36, 72, -24, 0, 0, 0, 12, 0, 0, -2, 0, 58, 16, 42, 0, 0, 0, 166, 0, 0, -24, 0, -4, -40, -12, 0, 0, 0, -72, 0, 0, -80, 0, 58, -36, -148, 0, 0, 0, -12, 0, 0, -36, 0, 16, -32, 80, 0, 0, 0, -168, 0, 0, -72, 0, -6, -24, -78, 0, 0, 0, 48, 0, 0, -12, 0, -8, 164, -28, 0, 0, 0, -36, 0, 0, 40, 0, -84, 96, 34, 0, 0, 0, 100, 0, 0, -24, 0, -56, -34, 16, 0, 0, 0, 4, 0, 0, -132, 0, -8, -104, -24, 0, 0, 0, -78, 0, 0, 32, 0, 28, 22, -48, 0, 0, 0, 64, 0, 0, 20, 0, 112, -40, 24, 0, 0, 0, 64, 0, 0, 88, 0, -12, 0, 24, 0, 0, 0, 8, 0, 0, 28, 0, 92, 4, 78, 0, 0, 0, 12, 0, 0, 112, 0, 4, -32, 68, 0, 0, 0, 16, 0, 0, 86, 0, -12, 24, 90, 0, 0, 0, 20, 0, 0, -32, 0, 32, -24, -180, 0, 0, 0, 20, 0, 0, -36, 0, 16, 8, -2, 0, 0, 0, 92, 0, 0, 16, 0, 4, 64, -12, 0, 0, 0, -12, 0, 0, -12, 0, 36, 24, 24, 0, 0, 0, 48, 0, 0, -100, 0, -48, -26, -4, 0, 0, 0, 64, 0, 0, -24, 0, -4, -48, 108, 0, 0, 0, -2, 0, 0, 60, 0, 84, -36, -16, 0, 0, 0, -48, 0, 0, -66, 0, 90, 12, 20, 0, 0, 0, 26, 0, 0, -68, 0, -12, 122, 56, 0, 0, 0, 4, 0, 0, -60, 0, 4, -72, 24, 0, 0, 0, -120, 0, 0, 28, 0, 24, 118, 16, 0, 0, 0, -40, 0, 0, 72, 0, 50, 76, 84, 0, 0, 0, -50, 0, 0, -16, 0, -48, 12, 148, 0, 0, 0, 12, 0, 0, 90, 0, -6, -36, 16, 0, 0, 0, 72, 0, 0, 48, 0, 24, 84, 144, 0, 0, 0, -56, 0, 0, -36, 0, 48, 36, 132, 0, 0, 0, 38, 0, 0, -8, 0, -28, -48, -36, 0, 0, 0, 64, 0, 0, 172, 0, -60, -12, -120, 0, 0, 0, 2, 0, 0, -96, 0, -16, -50, 80, 0, 0, 0, -124, 0, 0, -68, 0, 34, 184, -6, 0, 0, 0, 52, 0, 0, 12, 0, -8, 0, 8, 0, 0, 0, -28, 0, 0, 12, 0, -72, 4, -58, 0, 0, 0, 60, 0, 0, -8, 0, -128, 12, 84, 0, 0, 0, 36, 0, 0, -148, 0, 32, 24, -24, 0, 0, 0, 32, 0, 0, -24, 0, 84, 2, 44, 0, 0, 0, 12, 0, 0, 78, 0, 96, 104, -24, 0, 0, 0, 96, 0, 0, 16, 0, 56, 64, 8, 0, 0, 0, 12, 0, 0, 54, 0, 40, 36, -2, 0, 0, 0, -40, 0, 0, -44, 0, -96, -36, 36, 0, 0, 0, 164, 0, 0, 110, 0, 12, -52, 114, 0, 0, 0, 12, 0, 0, -16, 0, 12, 24, -80, 0, 0, 0, -48, 0, 0, -40, 0, -72, 40, 8, 0, 0, 0, -18, 0, 0, 44, 0, 108, 78, -120, 0, 0, 0, -32, 0, 0, -124, 0, -22, 12, 24, 0, 0, 0, -120, 0, 0, -168, 0, 212, -152, -28, 0, 0, 0, 32, 0, 0, -24, 0, 8, 164, 20, 0, 0, 0, -34, 0, 0, -60, 0, 80, -34, 12, 0, 0, 0, -16, 0, 0, -72, 0, 122, -8, 34, 0, 0, 0, -28, 0, 0, 56, 0, -4, 12, -120, 0, 0, 0, 72, 0, 0, 8, 0, 16, -8, 60, 0, 0, 0, -118, 0, 0, -68, 0, -132, -72, -48, 0, 0, 0, 84, 0, 0, -28, 0, -80, -24, 12, 0, 0, 0, 60, 0, 0, -36, 0, 60, -20, -152, 0, 0, 0, 32, 0, 0, 36, 0, 24, 164, -96, 0, 0, 0, 96, 0, 0, 24, 0, 56, -36, 72, 0, 0, 0, -24, 0, 0, 2, 0, -144, -16, 120, 0, 0, 0, -72, 0, 0, -48, 0, 124, 120, -4, 0, 0, 0, -120, 0, 0, 244, 0, -12, 12, 40, 0, 0, 0, 12, 0, 0, -4, 0, -24, -88, -40, 0, 0, 0, 72, 0, 0, 28, 0, 8, -264, -56, 0, 0, 0, -40, 0, 0, 4, 0, 56, 24, -120, 0, 0, 0, -84, 0, 0, 58, 0, -42, 32, 4, 0, 0, 0, -108, 0, 0, -108, 0, -144, 2, -44, 0, 0, 0, -60, 0, 0, 36, 0, 36, -16, -12, 0, 0, 0, 2, 0, 0, -36, 0, -24, -32, -144, 0, 0, 0, -72, 0, 0, -20, 0, 84, 80, -64, 0, 0, 0, -40, 0, 0, 212, 0, 12, -98, 12, 0, 0, 0, -8, 0, 0, -36, 0, 228, -4, 24, 0, 0, 0, 60, 0, 0, 24, 0, 72, -16, 48, 0, 0, 0, 104, 0, 0, 88, 0, 18, 60, 72, 0, 0, 0, -46, 0, 0, -16, 0, -56, 24, -28, 0, 0, 0, -32, 0, 0, 0, 0, -108, -144, -50, 0, 0, 0, 48, 0, 0, -144, 0, -32, 50, 44, 0, 0, 0, 16, 0, 0, -90, 0, -12, -32, -40, 0, 0, 0, -48, 0, 0, 60, 0, 0, 138, -12, 0, 0, 0, 48, 0, 0, -16, 0, -26, 28, 128, 0, 0, 0, -36, 0, 0, 12, 0, 12, -108, -24, 0, 0, 0, -180, 0, 0, -16, 0, -14, 56, -2, 0, 0, 0, 36, 0, 0, 124, 0, -36, 8, -44, 0, 0, 0, -4, 0, 0, -12, 0, 140, -28, -156, 0, 0, 0, -212, 0, 0, 36, 0, -172, -86, 12, 0, 0, 0, -172, 0, 0, 206, 0, -50, 92, 60, 0, 0, 0, -84, 0, 0, 32, 0, -32, -2, -48, 0, 0, 0, 96, 0, 0, 120, 0, 50, 156, -12, 0, 0, 0, 122, 0, 0, -216, 0, -12, -28, 136, 0, 0, 0, -52, 0, 0, 6, 0, -192, 16, 96, 0, 0, 0, 74, 0, 0, -228, 0, 4, -132, 8, 0, 0, 0, 108, 0, 0, -24, 0, 24, 28, -144, 0, 0, 0, -12, 0, 0, 92, 0, -4, 36, -132, 0, 0, 0, 152, 0, 0, 136, 0, -24, 0, -30, 0, 0, 0, 72, 0, 0, -84, 0, 56, -140, -188, 0, 0, 0, 36, 0, 0, 72, 0, -90, -24, -32, 0, 0, 0, -176, 0, 0, -24, 0, -12, -32, 12, 0, 0, 0, 24, 0, 0, -16, 0, -2, -80, -74, 0, 0, 0, 58, 0, 0, 16, 0, -156, 42, 128, 0, 0, 0, 84, 0, 0, 24, 0, -204, -216, 166, 0, 0, 0, 80, 0, 0, -8, 0, -24, -212, -56, 0, 0, 0, -4, 0, 0, -40, 0, -132, -12, 66, 0, 0, 0, -54, 0, 0, 48, 0, -36, 196, -72, 0, 0, 0, -116, 0, 0, 126, 0, -80, -220, 144, 0, 0, 0, 58, 0, 0, -36, 0, 184, -148, -40, 0, 0, 0, 40, 0, 0, -204, 0, 20, 48, -12, 0, 0, 0, 70, 0, 0, -24, 0, -36, -12, -12, 0, 0, 0, 16, 0, 0, -32, 0, -24, 80, 24, 0, 0, 0, 132, 0, 0, 12, 0, 28, -264, -168, 0, 0, 0, -172, 0, 0, -8, 0, -72, -44, 164, 0, 0, 0, -6, 0, 0, -24, 0, -24, -78, -108, 0, 0, 0, -156, 0, 0, 80, 0, 36, 32, 48, 0, 0, 0, 124, 0, 0, -104, 0, -12, 180, 24, 0, 0, 0, -8, 0, 0, 164, 0, -60, -28, -60, 0, 0, 0, 66, 0, 0, 28, 0, -100, 18, -36, 0, 0, 0, 204, 0, 0, 48, 0, 40, -72, -8, 0, 0, 0, -84, 0, 0, 96, 0, -228, 34, -80, 0, 0, 0, 60, 0, 0, 116, 0, 34, -108, 100, 0, 0, 0, 160, 0, 0, 92, 0, -24, -268, -48, 0, 0, 0, -56, 0, 0, -34, 0, -132, 16, -12, 0, 0, 0, 26, 0, 0, -28, 0, 4, 128, 4, 0, 0, 0, 56, 0, 0, -20, 0, -132, -72, -132, 0, 0, 0, -8, 0, 0, -104, 0, 8, -24, 164, 0, 0, 0, -132, 0, 0, 48, 0, -72, 56, -78, 0, 0, 0, -132, 0, 0, 48, 0, 32, -8, 48, 0, 0, 0, 28, 0, 0, 22, 0, 108, -48, 80, 0, 0, 0, 248, 0, 0, -120, 0, -32, -60, 64, 0, 0, 0, 36, 0, 0, 40, 0, 20, 120, 70, 0, 0, 0, 112, 0, 0, -40, 0, 204, 24, -100, 0, 0, 0, -232, 0, 0, 96, 0, -120, -164, 64, 0, 0, 0, -228, 0, 0, -152, 0, 88, 44, -56, 0, 0, 0, -12, 0, 0, 0, 0, -204, 24, 184, 0, 0, 0, -2, 0, 0, 128, 0, 16, -12, 8, 0, 0, 0, -72, 0, 0, -132, 0, 28, -108, -62, 0, 0, 0, 92, 0, 0, 4, 0, -168, 78, -76, 0, 0, 0, 144, 0, 0, 100, 0, -200, -68, 12, 0, 0, 0, -160, 0, 0, -236, 0, 112, -12, 12, 0, 0, 0, 4, 0, 0, -32, 0, 88, 68, 84, 0, 0, 0, 304, 0, 0, 96, 0, 96, -120, 16, 0, 0, 0, 60, 0, 0, 56, 0, 86, -24, -80, 0, 0, 0, -12, 0, 0, 24, 0, 64, 90, -56, 0, 0, 0, 0, 0, 0, 58, 0, 24, 84, 20, 0, 0, 0, -58, 0, 0, 116, 0, -32, 364, -96, 0, 0, 0, 32, 0, 0, -24, 0, -76, -180, -96, 0, 0, 0, -96, 0, 0, 44, 0, 76, -144, 20, 0, 0, 0, -256, 0, 0, 24, 0, -36, -88, -36, 0, 0, 0, 16, 0, 0, 8, 0, 36, -2, 60, 0, 0, 0, 36, 0, 0, -24, 0, 32, 108, 92, 0, 0, 0, 6, 0, 0, -272, 0, 16, 64, 192, 0, 0, 0, 4, 0, 0, 64, 0, -170, -12, 192, 0, 0, 0, -24, 0, 0, -128, 0, -16, 240, -12, 0, 0, 0, 152, 0, 0, -44, 0, -12, 8, -24, 0, 0, 0, 36, 0, 0, 24, 0, 4, 24, 72, 0, 0, 0, 228, 0, 0, -40, 0, -120, 156, 48, 0, 0, 0, 24, 0, 0, -48, 0, -100, 36, 48, 0, 0, 0, -48, 0, 0, -26, 0, 218, -4, -18, 0, 0, 0, -72, 0, 0, -112, 0, -52, 46, 64, 0, 0, 0, 16, 0, 0, 96, 0, -24, 72, -56, 0, 0, 0, -4, 0, 0, -48, 0, -60, 108, -60, 0, 0, 0, 72, 0, 0, 50, 0, 108, -72, -2, 0, 0, 0, 40, 0, 0, 128, 0, 60, -232, 32, 0, 0, 0, 84, 0, 0, -36, 0, 168, -16, -210, 0, 0, 0, 90, 0, 0, -112, 0, 32, 280, -48, 0, 0, 0, 20, 0, 0, -12, 0, -66, 48, -138, 0, 0, 0, 90, 0, 0, 12, 0, 116, 20, 40, 0, 0, 0, 72, 0, 0, -24, 0, -12, -200, 26, 0, 0, 0, -258, 0, 0, 272, 0, -68, 36, 36, 0, 0, 0, -12, 0, 0, 122, 0, 108, 56, 132, 0, 0, 0, -140, 0, 0, -84, 0, 92, -106, 4, 0, 0, 0, -504, 0, 0, 2, 0, -60, -72, -48, 0, 0, 0, 4, 0, 0, -72, 0, 8, 24, 36, 0, 0, 0, 220, 0, 0, -12, 0, 266, 4, -120, 0, 0, 0, 12, 0, 0, -180, 0, 28, 220, 80, 0, 0, 0, 24, 0, 0, 118, 0, 144, 16, -96, 0, 0, 0, -244, 0, 0, -12, 0, -40, -12, -40, 0, 0, 0, -100, 0, 0, -280, 0, 72, -24, 50, 0, 0, 0, 50, 0, 0, 76, 0, -144, 84, -72, 0, 0, 0, -32, 0, 0, -40, 0, 2, 24, -50, 0, 0, 0, 24, 0, 0, -160, 0, -16, 120, 80, 0, 0, 0, -48, 0, 0, 12, 0, 264, 148, -94, 0, 0, 0, 98, 0, 0, -40, 0, 36, 32, 12, 0, 0, 0, 32, 0, 0, -36, 0, 90, 52, -192, 0, 0, 0, -6, 0, 0, -36, 0, -16, 16, 4, 0, 0, 0, -192, 0, 0, 140, 0, 126, 72, 72, 0, 0, 0, 228, 0, 0, -8, 0, 48, -100, -60, 0, 0, 0, 24, 0, 0, 84, 0, -94, 144, -24, 0, 0, 0, 44, 0, 0, 372, 0, 144, 12, -56, 0, 0, 0, -92, 0, 0, -140, 0, -36, -96, -20, 0, 0, 0, 48, 0, 0, 36, 0, 216, 132, 156, 0, 0, 0, 96, 0, 0, 30, 0, -12, 8, 38, 0, 0, 0, -328, 0, 0, -144, 0, -8, 44, -56, 0, 0, 0, -28, 0, 0, -48, 0, 252, -36, 84, 0, 0, 0, -72, 0, 0, 56, 0, 24, 60, 64, 0, 0, 0, -40, 0, 0, -72, 0, 172, 144, -208, 0, 0, 0, -60, 0, 0, -12, 0, 144, -120, 124, 0, 0, 0, -12, 0, 0, 72, 0, 96, -16, 2, 0, 0, 0, -90, 0, 0, -152, 0, -96, -58, 12, 0, 0, 0, -16, 0, 0, -50, 0, -42, 80, 100, 0, 0, 0, 372, 0, 0, -36, 0, 24, -112, -124, 0, 0, 0, -36, 0, 0, -166, 0, -68, 116, -120, 0, 0, 0, 34, 0, 0, 184, 0, -36, -6, 24, 0, 0, 0, -268, 0, 0, -210, 0, 50, 4, 52, 0, 0, 0, 40, 0, 0, 204, 0, 12, -24, 284, 0, 0, 0, -8, 0, 0, 0, 0, -16, 8, 12, 0, 0, 0, 180, 0, 0, 72, 0, 96, 68, -28, 0, 0, 0, 108, 0, 0, -262, 0, 12, 160, 80, 0, 0, 0, -72, 0, 0, 4, 0, -140, -58, -64, 0, 0, 0, 36, 0, 0, 16, 0, 148, -72, 60, 0, 0, 0, -90, 0, 0, -24, 0, -8, -60, 168, 0, 0, 0, -128, 0, 0, 12, 0, 10, 84, -60, 0, 0, 0, 16, 0, 0, -12, 0, 212, 48, 36, 0, 0, 0, -144, 0, 0, -24, 0, -148, -16, 172, 0, 0, 0, 32, 0, 0, 24, 0, -80, -24, -252, 0, 0, 0, 276, 0, 0, 124, 0, -76, 112, 32, 0, 0, 0, -288, 0, 0, 168, 0, -24, 92, -32, 0, 0, 0, 84, 0, 0, 2, 0, 158, 44, 72, 0, 0, 0, 120, 0, 0, -16, 0, 144, 6, 12, 0, 0, 0, 24, 0, 0, 180, 0, 78, -48, 202, 0, 0, 0, 96, 0, 0, 104, 0, -92, -24, 292, 0, 0, 0, 248, 0, 0, -48, 0, 112, 176, 96, 0, 0, 0, -204, 0, 0, 160, 0, 16, 4, 12, 0, 0, 0, 56, 0, 0, 64, 0, 96, 8, -8, 0, 0, 0, -164, 0, 0, 144, 0, 28, 244, 12, 0, 0, 0], "weight_parity": 1, "has_non_self_twist": 1, "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], [1, 1, 11, 2, -1, 2, 0]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "1815.2.a.t", "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, 0, 1], [1, 0, 0, 0], [0, 0, -1, 0], [-1, 0, 0, 0], [0, 0, 0, 1], [0, -2, 0, 0], [0, 1, 0, 1], [1, 0, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 2], [2, 0, 0, 0], [-1, 0, 0, 0], [1, 0, 1, 0], [0, -1, 0, -1], [0, 0, 0, 1], [0, 2, 0, 2], [0, 0, 1, 0], [0, -2, 0, 0], [0, 0, 0, 0], [3, 0, -2, 0], [0, 1, 0, 1], [1, 0, 0, 0], [4, 0, -2, 0], [1, 0, 0, 0], [0, 4, 0, 2], [0, -4, 0, 2], [0, 0, 0, -1], [-5, 0, -2, 0], [0, -3, 0, -4], [0, 0, 0, 0], [-1, 0, 1, 0], [0, 2, 0, 0], [0, 0, -1, 0], [4, 0, 2, 0], [2, 0, -2, 0], [0, 0, 0, 2], [0, -1, 0, -1], [0, -2, 0, -2], [2, 0, 0, 0], [0, 4, 0, -2], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 2, 0, 9], [7, 0, -2, 0], [1, 0, 1, 0], [5, 0, 4, 0], [0, 0, 0, 1], [0, -1, 0, -1], [0, 2, 0, 6], [5, 0, 4, 0], [0, 0, 0, 1], [0, 0, 0, 0], [-4, 0, -2, 0], [0, 2, 0, 2], [8, 0, -2, 0], [10, 0, 2, 0], [0, 0, 1, 0], [0, 1, 0, -3], [0, 2, 0, 1], [0, -2, 0, 0], [-7, 0, 2, 0], [0, 0, 0, -2], [0, 0, 0, 0], [-8, 0, 2, 0], [0, 1, 0, -2], [3, 0, -2, 0], [-2, 0, 0, 0], [8, 0, 0, 0], [0, 1, 0, 1], [0, -4, 0, -8], [0, -2, 0, -2], [1, 0, 0, 0], [0, -2, 0, 4], [0, 0, 0, 0], [4, 0, -2, 0], [0, -1, 0, -3], [-1, 0, -1, 0], [1, 0, 0, 0], [-2, 0, 2, 0], [0, 6, 0, -6], [0, 4, 0, 2], [0, 1, 0, 1], [-8, 0, 2, 0], [0, -4, 0, 2], [0, 0, 0, 0], [4, 0, 6, 0], [0, 0, 0, -1], [4, 0, 0, 0], [10, 0, -5, 0], [-5, 0, -2, 0], [0, 2, 0, 13], [0, -2, 0, -2], [0, -3, 0, -4], [8, 0, -2, 0], [0, -4, 0, -7], [0, 0, 0, 0], [0, 0, -1, 0]]}