# Stored data for newform 4225.2.a.bj, downloaded from the LMFDB on 19 April 2024.
{"label": "4225.2.a.bj", "space_label": "4225.2.a", "level": 4225, "weight": 2, "hecke_orbit": 36, "hecke_orbit_code": 157625986991526017, "dim": 4, "is_polredabs": true, "nf_label": "4.4.7056.1", "trace_hash": 285895817987343233, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 0, -5, 0, 1]], [3, [1, 1]], [7, [-3, 0, 1]], [11, [-7, 0, 1]]], "qexp_display": "q+\\beta _{3}q^{2}-q^{3}-\\beta _{2}q^{4}-\\beta _{3}q^{6}+(-\\beta _{1}+\\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": 16900, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 33.736794853990965, "hecke_ring_index": 1, "level_radical": 65, "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": "0.521", "prec": 17}, "analytic_rank_proved": true, "char_values": [4225, 1, [677, 3551], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [5, 13], "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": "3.852", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "75.730", "prec": 20}, {"__RealLiteral__": 0, "data": "7.371", "prec": 17}, {"__RealLiteral__": 0, "data": "2087.195", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, -1], [13, -1]], "trace_display": [0, -4, 0, 0], "traces": [0, 4, 0, -4, 2, 0, 0, 0, 0, -8, 0, 0, -2, 0, -6, 0, 2, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 6, 0, 0, 0, 6, 24, 0, 0, 0, 0, -2, -16, 0, 0, 0, -12, 0, 0, -12, 0, 0, 0, 0, -24, -48, 0, -32, 0, -14, 0, 42, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, -24, 0, 4, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42, 0, 40, 0, 0, 0, 0, 0, 0, -36, 0, -24, 0, 0, 0, 24, 10, 0, 0, 0, 0, 48, -6, 0, -42, 0, -2, 0, 0, -16, 0, 0, 0, 0, 12, 16, 0, -24, 0, -12, 0, -12, -66, 0, 0, 0, 0, -32, 0, 0, -22, 0, -4, 0, 0, 16, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 44, 0, 12, 0, 0, 0, -30, -48, 0, 0, 0, 0, -10, -36, 0, 20, 0, 24, 0, 0, 48, 0, 0, 0, 0, -48, 32, 0, -30, 0, -8, 0, -28, -24, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 0, 36, 36, 0, 0, 0, 0, 12, -24, 0, 0, 0, 42, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 24, -42, 0, 0, 0, 0, -64, -54, 0, -14, 0, -12, 0, 0, -36, 0, 0, 0, 0, -2, -36, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -60, 0, 0, -42, 0, -10, 0, 42, -48, 0, 0, 0, 0, -40, -56, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, -58, 0, 0, 0, -36, 36, 0, 0, 0, 0, -42, 24, 0, -12, 0, 68, 0, 0, -12, 0, 0, 0, 0, -24, 42, 0, 2, 0, 66, 0, 0, -24, 0, 0, 0, 0, -10, 0, 0, 68, 0, -48, 0, -84, -12, 0, 0, 0, 0, 12, 42, 0, 0, 0, -14, 0, 2, 0, 0, 0, 0, 0, 0, -64, 0, 16, 0, 0, 0, -48, 42, 0, 0, 0, 0, 52, 42, 0, 24, 0, -30, 0, 0, -16, 0, 0, 0, 0, 18, -48, 0, -24, 0, -84, 0, 12, 74, 0, 0, 0, 0, 12, 0, 0, 66, 0, -18, 0, 42, -84, 0, 0, 0, 0, -96, 60, 0, 0, 0, 32, 0, -60, 0, 0, 0, 0, 0, 0, 22, 0, -30, 0, 0, 0, 10, -16, 0, 0, 0, 0, 0, -52, 0, 32, 0, 12, 0, 0, -30, 0, 0, 0, 0, 28, 66, 0, -26, 0, -12, 0, -48, 0, 0, 0, 0, 0, 42, 0, 0, -24, 0, 48, 0, 0, -60, 0, 0, 0, 0, 24, 92, 0, 0, 0, 6, 0, -8, 0, 0, 0, 0, 0, 0, -96, 0, -84, 0, 0, 0, -12, -44, 0, 0, 0, 0, 36, 24, 0, -42, 0, -118, 0, 0, 0, 0, 0, 0, 0, 30, 56, 0, 48, 0, 0, 0, 36, 36, 0, 0, 0, 0, -8, 0, 0, -6, 0, 10, 0, -48, 36, 0, 0, 0, 0, 30, -20, 0, 0, 0, -60, 0, 48, 0, 0, 0, 0, 0, 0, 110, 0, 96, 0, 0, 0, 80, -36, 0, 0, 0, 0, 12, 24, 0, 12, 0, 48, 0, 0, 64, 0, 0, 0, 0, -60, 30, 0, 0, 0, 86, 0, 8, -12, 0, 0, 0, 0, 70, 0, 0, 24, 0, -48, 0, -24, 6, 0, 0, 0, 0, 24, -42, 0, 0, 0, -84, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 84, 0, 0, 0, 0, -36, 92, 0, -36, 0, -42, 0, 0, -36, 0, 0, 0, 0, 42, 108, 0, 56, 0, -12, 0, -12, 24, 0, 0, 0, 0, 12, 0, 0, 54, 0, 60, 0, 84, 84, 0, 0, 0, 0, -42, -60, 0, 0, 0, 48, 0, -24, 0, 0, 0, 0, 0, 0, 66, 0, 54, 0, 0, 0, 18, 0, 0, 0, 0, 0, -78, -48, 0, 48, 0, 0, 0, 0, 70, 0, 0, 0, 0, 48, -48, 0, 42, 0, 66, 0, 164, -12, 0, 0, 0, 0, 136, 0, 0, -116, 0, 52, 0, -84, 54, 0, 0, 0, 0, -84, -28, 0, 0, 0, -24, 0, 12, 0, 0, 0, 0, 0, 0, 8, 0, 36, 0, 0, 0, 16, 102, 0, 0, 0, 0, -36, 18, 0, -34, 0, 2, 0, 0, 36, 0, 0, 0, 0, 24, 0, 0, 0, 0, -56, 0, 0, -8, 0, 0, 0, 0, 36, 0, 0, 0, 0, 138, 0, 30, 48, 0, 0, 0, 0, 82, 0, 0, 0, 0, 60, 0, -36, 0, 0, 0, 0, 0, 0, 42, 0, -30, 0, 0, 0, 10, -144, 0, 0, 0, 0, 84, 60, 0, 48, 0, 0, 0, 0, 42, 0, 0, 0, 0, -32, -120, 0, 102, 0, -80, 0, -48, 56, 0, 0, 0, 0, 78, 0, 0, 36, 0, -12, 0, 0, -122, 0, 0, 0, 0, -16, 132, 0, 0, 0, 36, 0, -42, 0, 0, 0, 0, 0, 0, -36, 0, -20, 0, 0, 0, -108, 0, 0, 0, 0, 0, 24, 58, 0, 6, 0, 154, 0, 0, 84, 0, 0, 0, 0, 36, -80, 0, 72, 0, 60, 0, 28, -6, 0, 0, 0, 0, 180, 0, 0, -38, 0, 42, 0, -72, 48, 0, 0, 0, 0, 108, 12, 0, 0, 0, -16, 0, -68, 0, 0, 0, 0, 0, 0, 42, 0, 12, 0, 0, 0, 0, 96, 0, 0, 0, 0, 146, -36, 0, 140, 0, -48, 0, 0, -42, 0, 0, 0, 0, 36, -32, 0, 102, 0, 30, 0, -66, 28, 0, 0, 0, 0, 0, 0, 0, 24, 0, 84, 0, -52, 84, 0, 0, 0, 0, 36, -72, 0, 0, 0, 10, 0, -102, 0, 0, 0, 0, 0, 0, -68, 0, -72, 0, 0, 0, -96, -122, 0, 0, 0, 0, 84, 110, 0, 30, 0, 66, 0, 0, -192, 0, 0, 0, 0, 126, -84, 0, 16, 0, -12, 0, -24, 84, 0, 0, 0, 0, 12, 0, 0, -18, 0, -168, 0, 14, -12, 0, 0, 0, 0, 4, -12, 0, 0, 0, -84, 0, 72, 0, 0, 0, 0, 0, 0, -30, 0, -56, 0, 0, 0, 36, 64, 0, 0, 0, 0, -84, 32, 0, -120, 0, -20, 0, 0, 36, 0, 0, 0, 0, 48, -42, 0, -42, 0, 36, 0, -66, 36, 0, 0, 0, 0, 50, 0, 0, -108, 0, -52, 0, -60, -42, 0, 0, 0, 0, 0, -24, 0, 0, 0, 98, 0, -6, 0, 0, 0, 0, 0, 0, 36, 0, -32, 0, 0, 0, 252, -42, 0, 0, 0, 0, -24, -24, 0, 8, 0, -18, 0, 0, 120, 0, 0, 0, 0, 0, 24, 0, 48, 0, -64, 0, 84, 118, 0, 0, 0, 0, 24, 0, 0, -74, 0, 42, 0, 112, -72, 0, 0, 0, 0, 24, -12, 0, 0, 0, 24, 0, -84, 0, 0, 0, 0, 0, 0, 132, 0, 12, 0, 0, 0, 18, 112, 0, 0, 0, 0, -42, -84, 0, 84, 0, -216, 0, 0, -90, 0, 0, 0, 0, -112, 42, 0, 2, 0, 96, 0, 36, -60, 0, 0, 0, 0, 36, 0, 0, 84, 0, 172, 0, 64, 160, 0, 0, 0, 0, 60, -126, 0, 0, 0, 90, 0, -12, 0, 0, 0, 0, 0, 0, -84, 0, -48, 0, 0, 0, 12, 44, 0, 0, 0, 0, -144, 30, 0, -6, 0, 0, 0, 0, 12, 0, 0, 0, 0, 2, -112, 0, 16, 0, 72, 0, -8, -36, 0, 0, 0, 0, -84, 0, 0, -14, 0, 0, 0, -96, 52, 0, 0, 0, 0, -6, -80, 0, 0, 0, -20, 0, -12, 0, 0, 0, 0, 0, 0, -48, 0, 30, 0, 0, 0, -126, 0, 0, 0, 0, 0, -92, 12, 0, 48, 0, -28, 0, 0, -66, 0, 0, 0, 0, -84, 26, 0, -84, 0, -22, 0, -24, 104, 0, 0, 0, 0, 48, 0, 0, 0, 0, -120, 0, 112, -138, 0, 0, 0, 0, 0, -162, 0, 0, 0, -42, 0, 42, 0, 0, 0, 0, 0, 0, 24, 0, 84, 0, 0, 0, -48, -126, 0, 0, 0, 0, 0, 54, 0, 60, 0, 126, 0, 0, 0, 0, 0, 0, 0, 168, 12, 0, 80, 0, -60, 0, -180, -92, 0, 0, 0, 0, -24, 0, 0, 120, 0, -32, 0, -6, -64, 0, 0, 0, 0, 8, 228, 0, 0, 0, -192, 0, -76, 0, 0, 0, 0, 0, 0, 60, 0, -150, 0, 0, 0, 84, 96, 0, 0, 0, 0, 198, 84, 0, -96, 0, 24, 0, 0, 182, 0, 0, 0, 0, 12, 26, 0, -88, 0, 84, 0, 6, 36, 0, 0, 0, 0, -112, 0, 0, -56, 0, -36, 0, -192, -60, 0, 0, 0, 0, -84, 42, 0, 0, 0, 146, 0, 118, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -84, -54, 0, 0, 0, 0, -32, -48, 0, -130, 0, 60, 0, 0, -56, 0, 0, 0, 0, -96, 96, 0, -168, 0, 60, 0, 0, -42, 0, 0, 0, 0, -36, 0, 0, -36, 0, 126, 0, 120, 60, 0, 0, 0, 0, -114, 120, 0, 0, 0, 8, 0, 24, 0, 0, 0, 0, 0, 0, 6, 0, 168, 0, 0, 0, 20, -72, 0, 0, 0, 0, 48, 144, 0, 72, 0, 192, 0, 0, -18, 0, 0, 0, 0, 24, -36, 0, 0, 0, -30, 0, -42, -40, 0, 0, 0, 0, -6, 0, 0, -36, 0, -140, 0, 60, -86, 0, 0, 0, 0, -120, 72, 0, 0, 0, -54, 0, 148, 0, 0, 0, 0, 0, 0, -84, 0, -88, 0, 0, 0, -60, -110, 0, 0, 0, 0, -72, -240, 0, -114, 0, -34, 0, 0, -136, 0, 0, 0, 0, -80, -12, 0, 36, 0, -48, 0, -24, 24, 0, 0, 0, 0, -60, 0, 0, 126, 0, -12, 0, -228, -24, 0, 0, 0, 0, 54, -12, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, -140, 0, -160, 0, 0, 0, -134, -36, 0, 0, 0, 0, -84, -168, 0, -36, 0, 60, 0, 0, 60, 0, 0, 0, 0, -168, 0, 0, -42, 0, -278, 0, -86, -272, 0, 0, 0, 0, 16, 0, 0, 12, 0, 84, 0, 84, 216, 0, 0, 0, 0, 76, 102, 0, 0, 0, 14, 0, -60, 0, 0, 0, 0, 0, 0, 48, 0, 168, 0, 0, 0, 48, 168, 0, 0, 0, 0, 24, 14, 0, -6, 0, -18, 0, 0, 36, 0, 0, 0, 0, -24, 0, 0, -84, 0, -24, 0, 156, 42, 0, 0, 0, 0, -108, 0, 0, 72, 0, -24, 0, 210, 28, 0, 0, 0, 0, 84, 24, 0, 0, 0, 96, 0, 56, 0, 0, 0, 0, 0, 0, 84, 0, 94, 0, 0, 0, -24, 0, 0, 0, 0, 0, 156, -48, 0, -72, 0, -232, 0, 0, 150, 0, 0, 0, 0, 0, 140, 0, -84, 0, -42, 0, 182, 0, 0, 0, 0, 0, -182, 0, 0, -60, 0, -72, 0, -12, -92, 0, 0, 0, 0, -96, -72, 0, 0, 0, 72, 0, 42, 0, 0, 0, 0, 0, 0, 84, 0, 36, 0, 0, 0, 56, 12, 0, 0, 0, 0, 108, -60, 0, -8, 0, -42, 0, 0, -108, 0, 0, 0, 0, -78, -56, 0, -72, 0, -44, 0, -24, -202, 0, 0, 0, 0, 12, 0, 0, 48, 0, -90, 0, -64, -48, 0, 0, 0, 0, -42, -180, 0, 0, 0, -12, 0, -108, 0, 0, 0, 0, 0, 0, -54, 0, 78, 0, 0, 0, -60, -108, 0, 0, 0, 0, -210, -128, 0, -84, 0, -24, 0, 0, -126, 0, 0, 0, 0, 196, 102, 0, 24, 0, -84, 0, 204, 60, 0, 0, 0, 0, -84, 0, 0, -168, 0, 28, 0, -48, 134, 0, 0, 0, 0, 24, -124, 0, 0, 0, -222, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 128, 0, 0, 0, 0, -66, 0, 0, 0, 0, -60, -54, 0, 102, 0, 112, 0, 0, 36, 0, 0, 0, 0, -18, 300, 0, 0, 0, 108, 0, 20, -252, 0, 0, 0, 0, -132, 0, 0, 102, 0, 78, 0, -48, -96, 0, 0, 0, 0, -42, -48, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -70, 0, 0, 0, 208, 84, 0, 0, 0, 0, -6, 24, 0, -68, 0, -120, 0, 0, 48, 0, 0, 0, 0, -108, 84, 0, 210, 0, 126, 0, -66, 168, 0, 0, 0, 0, -164, 0, 0, 12, 0, -252, 0, 216, -168, 0, 0, 0, 0, 28, 60, 0, 0, 0, -136, 0, 264, 0, 0, 0, 0, 0, 0, 116, 0, -168, 0, 0, 0, 140, 96, 0, 0, 0, 0, 84, -68, 0, 108, 0, -84, 0, 0, 156, 0, 0, 0, 0, -82, 72, 0, -28, 0, 84, 0, 192, 70, 0, 0, 0, 0, -72, 0, 0, -126, 0, -142, 0, 24, 84, 0, 0, 0, 0, 24, 84, 0, 0, 0, 192, 0, 48, 0, 0, 0, 0, 0, 0, -180, 0, 48, 0, 0, 0, -18, -8, 0, 0, 0, 0, 114, 72, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, -16, -14, 0, -102, 0, 138, 0, -294, -156, 0, 0, 0, 0, -288, 0, 0, 192, 0, 36, 0, 0, -18, 0, 0, 0, 0, -120, 34, 0, 0, 0, -62, 0, 4, 0, 0, 0, 0, 0, 0, 116, 0, 72, 0, 0, 0, -24, -78, 0, 0, 0, 0, 0, -72, 0, 82, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 56, 144, 0, 0, 0, 0, 0, 0, 0, 8, 0, 42, 0, -132, 48, 0, 0, 0, 0, -110, 252, 0, 0, 0, 72, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, -138, 56, 0, 0, 0, 0, -30, 72, 0, -48, 0, -36, 0, 0, -276, 0, 0, 0, 0, -20, 12, 0, -222, 0, -82, 0, -72, 0, 0, 0, 0, 0, -42, 0, 0, 276, 0, 56, 0, 120, 30, 0, 0, 0, 0, 36, 138, 0, 0, 0, -6, 0, -124, 0, 0, 0, 0, 0, 0, 108, 0, 72, 0, 0, 0, 48, 84, 0, 0, 0, 0, 0, 30, 0, -168, 0, 2, 0, 0, 84, 0, 0, 0, 0, 20, -132, 0, 144, 0, -84, 0, -204, 114, 0, 0, 0, 0, 252, 0, 0, 0, 0, -210, 0, 210, -60, 0, 0, 0, 0, -18, 96, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, -42, 0, 0, 0, -84, -48, 0, 0, 0, 0, -110, -168, 0, 116, 0, 32, 0, 0, 120, 0, 0, 0, 0, 12, -102, 0, -156, 0, 72, 0, 200, -184, 0, 0, 0, 0, 48, 0, 0, 112, 0, 228, 0, 48, -84, 0, 0, 0, 0, 240, 192, 0, 0, 0, -78, 0, 66, 0, 0, 0, 0, 0, 0, -36, 0, -144, 0, 0, 0, 12, 134, 0, 0, 0, 0, 0, 0, 0, 122, 0, 54, 0, 0, -240, 0, 0, 0, 0, -182, 48, 0, -84, 0, -32, 0, 36, -132, 0, 0, 0, 0, -228, 0, 0, -426, 0, -130, 0, -36, -156, 0, 0, 0, 0, 42, -60, 0, 0, 0, 168, 0, 112, 0, 0, 0, 0, 0, 0, -246, 0, 22, 0, 0, 0, -96, 36, 0, 0, 0, 0, 24, 20, 0, 0, 0, -36, 0, 0, -224, 0, 0, 0, 0, 108, -210, 0, 0, 0, -120, 0, 42, 168, 0, 0, 0, 0, 30, 0, 0, 8, 0, -24, 0, -72, 116, 0, 0, 0, 0, -60, -6, 0, 0, 0, 54, 0, -154, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, -40, 108, 0, 0, 0, 0, -4, 126, 0, 114, 0, 72, 0, 0, 80, 0, 0, 0, 0, -168, -180, 0, 0, 0, -60, 0, -60, -22, 0, 0, 0, 0, -28, 0, 0, 6, 0, 132, 0, -64, -84, 0, 0, 0, 0, -108, -204, 0, 0, 0, -180, 0, -36, 0, 0, 0, 0, 0, 0, 38, 0, -66, 0, 0, 0, 84, -8, 0, 0, 0, 0, 72, -24, 0, -120, 0, 0, 0, 0, -6, 0, 0, 0, 0, -12, -72, 0, -70, 0, -108, 0, -108, 24, 0, 0, 0, 0, -60, 0, 0, 60, 0, -92, 0, 16, -126, 0, 0, 0, 0, -136, -260, 0, 0, 0, 252, 0, 84, 0, 0, 0, 0, 0, 0, 24, 0, 252, 0, 0, 0, 168, -42, 0, 0, 0, 0, -192, 24, 0, -150, 0, 154, 0, 0, 260, 0, 0, 0, 0, 0, -144, 0, -96, 0, 288, 0, 60, -102, 0, 0, 0, 0, 12, 0, 0, 48, 0, -146, 0, -258, 36, 0, 0, 0, 0, 0, -140, 0, 0, 0, -140, 0, 120, 0, 0, 0, 0, 0, 0, -116, 0, -84, 0, 0, 0, -64, -72, 0, 0, 0, 0, -184, 108, 0, -56, 0, -36, 0, 0, 26, 0, 0, 0, 0, 252, -102, 0, 210, 0, -42, 0, -30, 0, 0, 0, 0, 0, -132, 0, 0, -28, 0, -96, 0, 84, 330, 0, 0, 0, 0, 72, -210, 0, 0, 0, 0, 0, -138, 0, 0, 0, 0, 0, 0, 48, 0, -228, 0, 0, 0, -84, 36, 0, 0, 0, 0, 52, -172, 0, -84, 0, 114, 0, 0, 0, 0, 0, 0, 0, -74, 168, 0, 96, 0, -36, 0, 0, 72, 0, 0, 0, 0, 84, 0], "weight_parity": 1, "has_non_self_twist": 1, "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], [1, 1, 13, 2, 1, 2, 0]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "65.2.l.a", "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], [0, 0, 0, 0], [0, 0, 0, -1], [0, -1, 0, -1], [0, 1, 0, 1], [-2, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, 1], [0, 0, 1, 0], [0, 0, 0, 0], [-1, 0, 1, 0], [0, 0, 0, 0], [1, 0, 1, 0], [-1, 0, -2, 0], [0, 0, 0, -2], [0, 1, 0, 1], [0, 0, 0, 0], [0, 1, 0, 1], [3, 0, -1, 0], [1, 0, 2, 0], [0, -1, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [5, 0, 0, 0], [0, 1, 0, -2], [1, 0, 2, 0], [0, 0, 0, 0], [0, 2, 0, -4], [0, -3, 0, -4], [0, 1, 0, -1], [0, 2, 0, 5], [0, 0, 0, 0], [0, 0, 2, 0], [0, 3, 0, -3], [1, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, 1], [1, 0, -1, 0], [7, 0, 2, 0], [0, 3, 0, 4], [0, 0, 0, 0], [0, -2, 0, -5], [0, 0, 0, 4], [-1, 0, -1, 0], [-4, 0, 0, 0], [0, 0, 0, 0], [1, 0, 2, 0], [0, 0, 0, 0], [-4, 0, -2, 0], [0, 0, 0, 5], [0, 0, 0, 0], [-3, 0, 0, 0], [0, -1, 0, -1], [0, -2, 0, -5], [0, -7, 0, -3], [0, 0, 0, 0], [-5, 0, 2, 0], [-10, 0, 4, 0], [0, 2, 0, 2], [-7, 0, 2, 0], [0, 0, 0, 0], [-3, 0, 1, 0], [0, -1, 0, -7], [10, 0, -1, 0], [-1, 0, -2, 0], [0, 0, 0, 0], [0, 3, 0, -1], [0, -2, 0, -2], [0, 0, 0, 0], [-9, 0, 3, 0], [0, 0, 0, 0], [0, -1, 0, 2], [1, 0, 2, 0], [0, 0, 0, 0], [-6, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [3, 0, -1, 0], [0, 4, 0, 6], [0, -1, 0, 2], [0, 0, 0, 0], [0, -2, 0, 1], [-1, 0, -2, 0], [-1, 0, -2, 0], [0, -5, 0, -3], [0, 0, 0, 0], [0, 0, 0, 0], [-10, 0, 1, 0], [0, -2, 0, 4], [8, 0, -4, 0], [0, 0, 0, 0], [0, 3, 0, 4], [0, 5, 0, -1], [0, 0, 0, -4], [0, 2, 0, -2], [0, 0, 0, 0]]}