# Stored data for newform 3072.2.a.q, downloaded from the LMFDB on 29 March 2024. {"label": "3072.2.a.q", "space_label": "3072.2.a", "level": 3072, "weight": 2, "hecke_orbit": 17, "hecke_orbit_code": 72057594071485440, "dim": 4, "is_polredabs": true, "nf_label": "4.4.1600.1", "trace_hash": 1013870626058392476, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-10, 0, 1]], [7, [64, 0, -24, 0, 1]], [11, [-16, -4, 1]], [19, [-16, 4, 1]]], "qexp_display": "q+q^{3}+\\beta _{2}q^{5}+(-\\beta _{1}+\\beta _{2})q^{7}+q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12288, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 24.530043500937335, "hecke_ring_index": 8, "level_radical": 6, "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": "0.517", "prec": 17}, "analytic_rank_proved": true, "char_values": [3072, 1, [2047, 2053, 1025], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 1600, "field_disc_factorization": [[2, 6], [5, 2]], "field_poly": [4, 0, -6, 0, 1], "hecke_ring_index_factorization": [[2, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.070", "prec": 17}, {"__RealLiteral__": 0, "data": "3.888", "prec": 17}, {"__RealLiteral__": 0, "data": "1.732", "prec": 17}, {"__RealLiteral__": 0, "data": "75.125", "prec": 20}, {"__RealLiteral__": 0, "data": "41.038", "prec": 20}, {"__RealLiteral__": 0, "data": "1972.128", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1]], "trace_display": [0, 4, 0, 0], "traces": [0, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 8, 0, 0, 0, 0, 0, -8, 0, -8, 0, 0, 0, 0, 0, 20, 0, 4, 0, 0, 0, 0, 0, 8, 0, 40, 0, 0, 0, 0, 0, 8, 0, 24, 0, 0, 0, 0, 0, 20, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -24, 0, 20, 0, 0, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, 0, -40, 0, 8, 0, 0, 0, 0, 0, -16, 0, 8, 0, 0, 0, 0, 0, 40, 0, 32, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 52, 0, 8, 0, 0, 0, 0, 0, 24, 0, 32, 0, 0, 0, 0, 0, -8, 0, 32, 0, 0, 0, 0, 0, 40, 0, 20, 0, 0, 0, 0, 0, -8, 0, 40, 0, 0, 0, 0, 0, -32, 0, 40, 0, 0, 0, 0, 0, -44, 0, -8, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -80, 0, 64, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 48, 0, 24, 0, 0, 0, 0, 0, -96, 0, 64, 0, 0, 0, 0, 0, 80, 0, -24, 0, 0, 0, 0, 0, 20, 0, -40, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -8, 0, -8, 0, 0, 0, 0, 0, -56, 0, -56, 0, 0, 0, 0, 0, -40, 0, -40, 0, 0, 0, 0, 0, 8, 0, 40, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 28, 0, -16, 0, 0, 0, 0, 0, 8, 0, -32, 0, 0, 0, 0, 0, -80, 0, 48, 0, 0, 0, 0, 0, 48, 0, 40, 0, 0, 0, 0, 0, 32, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 24, 0, -8, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 24, 0, -80, 0, 0, 0, 0, 0, 20, 0, 52, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, -16, 0, -56, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 32, 0, -40, 0, 0, 0, 0, 0, 72, 0, 40, 0, 0, 0, 0, 0, -16, 0, -8, 0, 0, 0, 0, 0, 32, 0, -24, 0, 0, 0, 0, 0, -40, 0, -104, 0, 0, 0, 0, 0, 96, 0, 40, 0, 0, 0, 0, 0, 20, 0, 8, 0, 0, 0, 0, 0, -40, 0, -64, 0, 0, 0, 0, 0, 48, 0, -8, 0, 0, 0, 0, 0, 40, 0, -72, 0, 0, 0, 0, 0, -32, 0, -40, 0, 0, 0, 0, 0, 24, 0, -32, 0, 0, 0, 0, 0, 40, 0, 16, 0, 0, 0, 0, 0, -64, 0, -64, 0, 0, 0, 0, 0, 40, 0, -44, 0, 0, 0, 0, 0, -8, 0, -40, 0, 0, 0, 0, 0, -24, 0, 24, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 48, 0, -120, 0, 0, 0, 0, 0, -160, 0, 40, 0, 0, 0, 0, 0, -16, 0, -80, 0, 0, 0, 0, 0, 64, 0, 24, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 72, 0, -16, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -40, 0, -160, 0, 0, 0, 0, 0, 8, 0, 48, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 8, 0, 48, 0, 0, 0, 0, 0, -100, 0, -96, 0, 0, 0, 0, 0, 64, 0, -120, 0, 0, 0, 0, 0, 88, 0, 56, 0, 0, 0, 0, 0, 160, 0, 80, 0, 0, 0, 0, 0, -24, 0, -16, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -40, 0, -40, 0, 0, 0, 0, 0, 48, 0, -120, 0, 0, 0, 0, 0, -96, 0, -40, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -160, 0, -80, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 4, 0, -128, 0, 0, 0, 0, 0, 96, 0, -96, 0, 0, 0, 0, 0, 120, 0, -8, 0, 0, 0, 0, 0, -8, 0, -200, 0, 0, 0, 0, 0, 24, 0, -136, 0, 0, 0, 0, 0, -16, 0, -56, 0, 0, 0, 0, 0, -56, 0, 64, 0, 0, 0, 0, 0, -80, 0, -40, 0, 0, 0, 0, 0, -24, 0, -40, 0, 0, 0, 0, 0, -40, 0, 112, 0, 0, 0, 0, 0, -40, 0, -8, 0, 0, 0, 0, 0, 32, 0, 8, 0, 0, 0, 0, 0, 40, 0, 144, 0, 0, 0, 0, 0, -200, 0, 80, 0, 0, 0, 0, 0, -44, 0, -56, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 168, 0, -200, 0, 0, 0, 0, 0, 120, 0, 28, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 40, 0, 56, 0, 0, 0, 0, 0, -112, 0, 8, 0, 0, 0, 0, 0, -32, 0, -40, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -96, 0, -80, 0, 0, 0, 0, 0, 48, 0, 16, 0, 0, 0, 0, 0, 8, 0, 120, 0, 0, 0, 0, 0, 88, 0, 48, 0, 0, 0, 0, 0, 40, 0, -48, 0, 0, 0, 0, 0, -56, 0, 80, 0, 0, 0, 0, 0, 116, 0, 32, 0, 0, 0, 0, 0, -64, 0, 8, 0, 0, 0, 0, 0, 104, 0, -80, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, -32, 0, -120, 0, 0, 0, 0, 0, -64, 0, 160, 0, 0, 0, 0, 0, 48, 0, 24, 0, 0, 0, 0, 0, -8, 0, -144, 0, 0, 0, 0, 0, 40, 0, 24, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 72, 0, 152, 0, 0, 0, 0, 0, -152, 0, 128, 0, 0, 0, 0, 0, -176, 0, 24, 0, 0, 0, 0, 0, -80, 0, -192, 0, 0, 0, 0, 0, -128, 0, 120, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 52, 0, 120, 0, 0, 0, 0, 0, 8, 0, -40, 0, 0, 0, 0, 0, -80, 0, 8, 0, 0, 0, 0, 0, 8, 0, 40, 0, 0, 0, 0, 0, -160, 0, -128, 0, 0, 0, 0, 0, 96, 0, -16, 0, 0, 0, 0, 0, -56, 0, -96, 0, 0, 0, 0, 0, 160, 0, 40, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 24, 0, 192, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, -96, 0, 32, 0, 0, 0, 0, 0, -40, 0, 32, 0, 0, 0, 0, 0, 40, 0, -80, 0, 0, 0, 0, 0, -120, 0, 72, 0, 0, 0, 0, 0, 40, 0, 120, 0, 0, 0, 0, 0, 136, 0, -192, 0, 0, 0, 0, 0, 100, 0, -16, 0, 0, 0, 0, 0, -8, 0, 80, 0, 0, 0, 0, 0, 208, 0, -16, 0, 0, 0, 0, 0, 24, 0, 32, 0, 0, 0, 0, 0, -24, 0, 200, 0, 0, 0, 0, 0, 320, 0, -88, 0, 0, 0, 0, 0, -96, 0, -40, 0, 0, 0, 0, 0, -104, 0, -8, 0, 0, 0, 0, 0, 24, 0, 40, 0, 0, 0, 0, 0, 112, 0, 96, 0, 0, 0, 0, 0, 40, 0, 160, 0, 0, 0, 0, 0, 16, 0, 160, 0, 0, 0, 0, 0, -64, 0, 20, 0, 0, 0, 0, 0, 8, 0, 336, 0, 0, 0, 0, 0, 32, 0, -8, 0, 0, 0, 0, 0, -40, 0, -40, 0, 0, 0, 0, 0, -64, 0, -120, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 84, 0, 48, 0, 0, 0, 0, 0, -8, 0, -248, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -144, 0, 40, 0, 0, 0, 0, 0, -72, 0, 96, 0, 0, 0, 0, 0, 40, 0, -64, 0, 0, 0, 0, 0, 24, 0, -32, 0, 0, 0, 0, 0, -40, 0, 88, 0, 0, 0, 0, 0, -8, 0, 160, 0, 0, 0, 0, 0, 224, 0, 24, 0, 0, 0, 0, 0, -32, 0, 80, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, -40, 0, 40, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 168, 0, 72, 0, 0, 0, 0, 0, 16, 0, -64, 0, 0, 0, 0, 0, -64, 0, -104, 0, 0, 0, 0, 0, 320, 0, 64, 0, 0, 0, 0, 0, 80, 0, 40, 0, 0, 0, 0, 0, -44, 0, 56, 0, 0, 0, 0, 0, 224, 0, -80, 0, 0, 0, 0, 0, -136, 0, -8, 0, 0, 0, 0, 0, -40, 0, -96, 0, 0, 0, 0, 0, 168, 0, 320, 0, 0, 0, 0, 0, 80, 0, -24, 0, 0, 0, 0, 0, 24, 0, 64, 0, 0, 0, 0, 0, 96, 0, -112, 0, 0, 0, 0, 0, 40, 0, 36, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, -8, 0, 152, 0, 0, 0, 0, 0, -72, 0, 48, 0, 0, 0, 0, 0, -120, 0, -48, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, -64, 0, -160, 0, 0, 0, 0, 0, 40, 0, 200, 0, 0, 0, 0, 0, -128, 0, 8, 0, 0, 0, 0, 0, 32, 0, -16, 0, 0, 0, 0, 0, -80, 0, 32, 0, 0, 0, 0, 0, 32, 0, 240, 0, 0, 0, 0, 0, -68, 0, 64, 0, 0, 0, 0, 0, 24, 0, 80, 0, 0, 0, 0, 0, 40, 0, 48, 0, 0, 0, 0, 0, -320, 0, -24, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -72, 0, 216, 0, 0, 0, 0, 0, 64, 0, 72, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 80, 0, -48, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, -96, 0, 128, 0, 0, 0, 0, 0, -32, 0, 256, 0, 0, 0, 0, 0, 8, 0, -40, 0, 0, 0, 0, 0, -160, 0, -24, 0, 0, 0, 0, 0, 160, 0, -80, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 48, 0, 80, 0, 0, 0, 0, 0, -96, 0, -224, 0, 0, 0, 0, 0, -120, 0, 24, 0, 0, 0, 0, 0, 0, 0, -280, 0, 0, 0, 0, 0, 160, 0, 192, 0, 0, 0, 0, 0, 52, 0, 8, 0, 0, 0, 0, 0, 48, 0, -88, 0, 0, 0, 0, 0, 80, 0, -72, 0, 0, 0, 0, 0, 96, 0, -100, 0, 0, 0, 0, 0, -96, 0, -88, 0, 0, 0, 0, 0, -8, 0, -200, 0, 0, 0, 0, 0, -112, 0, 64, 0, 0, 0, 0, 0, -120, 0, -112, 0, 0, 0, 0, 0, -40, 0, -80, 0, 0, 0, 0, 0, 16, 0, 88, 0, 0, 0, 0, 0, 56, 0, 80, 0, 0, 0, 0, 0, 32, 0, -104, 0, 0, 0, 0, 0, 280, 0, 160, 0, 0, 0, 0, 0, 80, 0, 320, 0, 0, 0, 0, 0, 224, 0, 24, 0, 0, 0, 0, 0, 96, 0, -24, 0, 0, 0, 0, 0, -16, 0, -200, 0, 0, 0, 0, 0, -240, 0, 152, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 64, 0, 80, 0, 0, 0, 0, 0, 200, 0, 88, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 20, 0, 88, 0, 0, 0, 0, 0, 96, 0, -400, 0, 0, 0, 0, 0, 40, 0, -40, 0, 0, 0, 0, 0, -40, 0, 72, 0, 0, 0, 0, 0, 216, 0, -112, 0, 0, 0, 0, 0, -160, 0, 48, 0, 0, 0, 0, 0, -120, 0, -40, 0, 0, 0, 0, 0, 88, 0, 104, 0, 0, 0, 0, 0, 56, 0, -96, 0, 0, 0, 0, 0, -40, 0, -96, 0, 0, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 56, 0, 128, 0, 0, 0, 0, 0, 24, 0, -32, 0, 0, 0, 0, 0, -272, 0, -160, 0, 0, 0, 0, 0, -80, 0, 16, 0, 0, 0, 0, 0, -88, 0, 160, 0, 0, 0, 0, 0, -48, 0, -48, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 352, 0, 104, 0, 0, 0, 0, 0, -320, 0, 4, 0, 0, 0, 0, 0, -128, 0, -120, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -188, 0, 96, 0, 0, 0, 0, 0, -96, 0, -40, 0, 0, 0, 0, 0, -200, 0, 96, 0, 0, 0, 0, 0, 128, 0, 120, 0, 0, 0, 0, 0, -8, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, -8, 0, 0, 0, 0, 0, -200, 0, 24, 0, 0, 0, 0, 0, -40, 0, 40, 0, 0, 0, 0, 0, -232, 0, 24, 0, 0, 0, 0, 0, -136, 0, -88, 0, 0, 0, 0, 0, 168, 0, -424, 0, 0, 0, 0, 0, 40, 0, -16, 0, 0, 0, 0, 0, -56, 0, 40, 0, 0, 0, 0, 0, -32, 0, -64, 0, 0, 0, 0, 0, 96, 0, -56, 0, 0, 0, 0, 0, 64, 0, -104, 0, 0, 0, 0, 0, 480, 0, -176, 0, 0, 0, 0, 0, -88, 0, -80, 0, 0, 0, 0, 0, -40, 0, 96, 0, 0, 0, 0, 0, 32, 0, 184, 0, 0, 0, 0, 0, -112, 0, -24, 0, 0, 0, 0, 0, -40, 0, -320, 0, 0, 0, 0, 0, -88, 0, -80, 0, 0, 0, 0, 0, 84, 0, -40, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 248, 0, -160, 0, 0, 0, 0, 0, -80, 0, -40, 0, 0, 0, 0, 0, -8, 0, 120, 0, 0, 0, 0, 0, -8, 0, 168, 0, 0, 0, 0, 0, 80, 0, 32, 0, 0, 0, 0, 0, 8, 0, 120, 0, 0, 0, 0, 0, 80, 0, -16, 0, 0, 0, 0, 0, -72, 0, 40, 0, 0, 0, 0, 0, 144, 0, -48, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -160, 0, -200, 0, 0, 0, 0, 0, 80, 0, -96, 0, 0, 0, 0, 0, -192, 0, -240, 0, 0, 0, 0, 0, 224, 0, -44, 0, 0, 0, 0, 0, -56, 0, -136, 0, 0, 0, 0, 0, -160, 0, -24, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -96, 0, -400, 0, 0, 0, 0, 0, -48, 0, -80, 0, 0, 0, 0, 0, -304, 0, 168, 0, 0, 0, 0, 0, -200, 0, -72, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 296, 0, 120, 0, 0, 0, 0, 0, 28, 0, -64, 0, 0, 0, 0, 0, -216, 0, -8, 0, 0, 0, 0, 0, 192, 0, -16, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, -8, 0, -480, 0, 0, 0, 0, 0, -224, 0, 40, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 232, 0, -232, 0, 0, 0, 0, 0, 80, 0, -112, 0, 0, 0, 0, 0, 8, 0, 160, 0, 0, 0, 0, 0, -224, 0, 128, 0, 0, 0, 0, 0, -168, 0, -32, 0, 0, 0, 0, 0, -40, 0, 32, 0, 0, 0, 0, 0, 320, 0, -104, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -8, 0, 216, 0, 0, 0, 0, 0, -24, 0, -8, 0, 0, 0, 0, 0, 384, 0, -96, 0, 0, 0, 0, 0, -80, 0, 96, 0, 0, 0, 0, 0, 8, 0, -240, 0, 0, 0, 0, 0, 224, 0, 48, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 200, 0, -296, 0, 0, 0, 0, 0, -200, 0, 8, 0, 0, 0, 0, 0, 120, 0, 80, 0, 0, 0, 0, 0, 264, 0, -104, 0, 0, 0, 0, 0, 116, 0, 88, 0, 0, 0, 0, 0, 48, 0, -328, 0, 0, 0, 0, 0, -40, 0, -112, 0, 0, 0, 0, 0, -8, 0, 40, 0, 0, 0, 0, 0, -48, 0, 120, 0, 0, 0, 0, 0, -192, 0, 248, 0, 0, 0, 0, 0, -168, 0, -56, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 288, 0, 116, 0, 0, 0, 0, 0, 32, 0, -320, 0, 0, 0, 0, 0, -120, 0, 40, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 8, 0, -560, 0, 0, 0, 0, 0, -32, 0, 152, 0, 0, 0, 0, 0, 8, 0, 104, 0, 0, 0, 0, 0, -80, 0, -264, 0, 0, 0, 0, 0, 320, 0, -40, 0, 0, 0, 0, 0, 144, 0, -200, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, -8, 0, -56, 0, 0, 0, 0, 0, -8, 0, -32, 0, 0, 0, 0, 0, -120, 0, -24, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 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, 8, 4, -1, 2, 0]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "1536.2.j.g", "char_is_minimal": false, "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, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [0, -1, 1, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, 1], [0, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [-2, 0, 0, 1], [0, 0, 0, 0], [-2, 0, 0, -1], [0, 0, 0, 0], [0, -1, 1, 0], [0, 0, 0, 0], [0, 4, 0, 0], [0, 0, 0, 0], [5, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 2, 1, 0], [0, 0, 0, 0], [0, -5, 1, 0], [0, 0, 0, 0], [2, 0, 0, 1], [0, 0, 0, 0], [10, 0, 0, -1], [0, 0, 0, 0], [0, -3, -2, 0], [0, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, 0], [2, 0, 0, -1], [0, 0, 0, 0], [6, 0, 0, -1], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [5, 0, 0, -2], [0, 0, 0, 0], [-2, 0, 0, 1], [0, 0, 0, 0], [0, -6, -1, 0], [0, 0, 0, 0], [0, 10, 2, 0], [0, 0, 0, 0], [-2, 0, 0, -1], [0, 0, 0, 0], [0, 0, 0, 2], [0, 0, 0, 0], [0, 3, -2, 0], [0, 0, 0, 0], [0, -1, 1, 0], [0, 0, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [12, 0, 0, 0], [0, 0, 0, 0], [0, 4, 0, 0], [0, 0, 0, 0], [0, -2, -2, 0], [0, 0, 0, 0], [-6, 0, 0, 2], [0, 0, 0, 0], [5, 0, 0, 0], [0, 0, 0, 0], [0, 8, 0, 0], [0, 0, 0, 0], [0, -3, -1, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [-2, 0, 0, -1], [0, 0, 0, 0], [0, 10, -2, 0], [0, 0, 0, 0], [0, 2, 1, 0], [0, 0, 0, 0], [-10, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, -1], [0, 0, 0, 0], [0, -5, 1, 0], [0, 0, 0, 0], [0, -10, -2, 0], [0, 0, 0, 0], [-4, 0, 0, -2], [0, 0, 0, 0], [2, 0, 0, 1], [0, 0, 0, 0]]}