# Stored data for newform 4598.2.a.bv, downloaded from the LMFDB on 19 April 2024.
{"label": "4598.2.a.bv", "space_label": "4598.2.a", "level": 4598, "weight": 2, "hecke_orbit": 48, "hecke_orbit_code": 211669182519972342, "dim": 4, "is_polredabs": true, "nf_label": "4.4.258228.1", "trace_hash": 2280396392401470966, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [17, 20, -12, -2, 1]], [5, [24, -6, -12, 2, 1]], [7, [-48, 67, -21, -3, 1]], [13, [104, -20, -30, -1, 1]]], "qexp_display": "q+q^{2}+(1-\\beta _{1})q^{3}+q^{4}-\\beta _{1}q^{5}+(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": 18392, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 36.71521484938472, "hecke_ring_index": 1, "level_radical": 418, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [4598, 1, [3269, 3631], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 11, 19], "conrey_indexes": [1], "field_disc": 258228, "field_disc_factorization": [[2, 2], [3, 4], [797, 1]], "field_poly": [24, 6, -12, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.045", "prec": 17}, {"__RealLiteral__": 0, "data": "3.854", "prec": 17}, {"__RealLiteral__": 0, "data": "0.859", "prec": 17}, {"__RealLiteral__": 0, "data": "39.608", "prec": 20}, {"__RealLiteral__": 0, "data": "14.010", "prec": 20}, {"__RealLiteral__": 0, "data": "596.748", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [11, -1], [19, -1]], "trace_display": [4, 2, -2, 3], "traces": [0, 4, 4, 2, 4, -2, 2, 3, 4, 16, -2, 0, 2, 1, 3, 26, 4, -7, 16, 4, -2, -9, 0, -5, 2, 8, 1, 8, 3, -14, 26, 4, 4, 0, -7, -12, 16, 12, 4, 5, -2, 12, -9, 14, 0, -2, -5, -12, 2, 23, 8, 7, 1, -10, 8, 0, 3, 2, -14, 3, 26, 6, 4, -18, 4, 4, 0, 15, -7, -7, -12, -16, 16, -9, 12, -44, 4, 0, 5, 20, -2, 52, 12, -22, -9, 14, 14, 14, 0, -8, -2, -18, -5, 56, -12, -2, 2, -40, 23, 0, 8, 6, 7, 48, 1, 0, -10, -13, 8, 5, 0, -42, 3, 12, 2, -2, -14, -38, 3, -54, 26, 0, 6, -6, 4, -42, -18, -26, 4, 70, 4, 20, 0, 3, 15, 92, -7, 37, -7, -8, -12, -12, -16, 0, 16, 28, -9, 115, 12, -24, -44, -18, 4, 2, 0, 52, 5, 44, 20, -26, -2, 15, 52, -26, 12, 0, -22, -10, -9, 9, 14, 16, 14, 14, 14, -3, 0, 33, -8, -26, -2, 40, -18, 18, -5, -54, 56, 0, -12, -93, -2, 15, 2, 32, -40, -40, 23, -18, 0, -1, 8, -21, 6, 9, 7, -18, 48, 22, 1, 0, 0, -2, -10, 58, -13, 56, 8, -18, 5, -15, 0, 17, -42, 58, 3, 92, 12, 3, 2, 2, -2, 0, -14, -40, -38, 0, 3, 22, -54, 70, 26, 8, 0, -4, 6, 92, -6, 1, 4, -38, -42, -6, -18, 0, -26, -26, 4, -10, 70, 117, 4, -122, 20, 52, 0, -16, 3, -46, 15, -66, 92, -9, -7, -54, 37, 0, -7, -52, -8, 28, -12, -2, -12, -20, -16, 26, 0, -48, 16, -7, 28, -20, -9, 48, 115, 30, 12, 0, -24, -62, -44, -48, -18, -66, 4, 12, 2, 2, 0, -18, 52, 15, 5, 21, 44, -102, 20, 3, -26, 0, -2, -89, 15, -7, 52, -49, -26, -29, 12, 21, 0, -1, -22, -18, -10, -36, -9, 28, 9, 18, 14, 0, 16, -27, 14, 14, 14, 10, 14, -38, -3, 95, 0, -32, 33, 74, -8, -120, -26, 61, -2, 4, 40, 0, -18, -6, 18, 64, -5, 30, -54, -27, 56, 26, 0, 30, -12, 43, -93, -23, -2, -46, 15, 2, 2, 0, 32, -16, -40, 6, -40, -10, 23, 40, -18, 2, 0, 28, -1, -9, 8, -2, -21, 10, 6, -32, 9, 0, 7, 4, -18, 71, 48, -27, 22, -16, 1, -124, 0, 16, 0, 9, -2, -120, -10, -5, 58, 54, -13, 0, 56, 40, 8, 36, -18, -178, 5, -5, -15, -38, 0, 158, 17, 6, -42, -38, 58, -48, 3, -54, 92, 0, 12, 24, 3, -36, 2, -7, 2, 85, -2, 4, 0, 4, -14, -16, -40, 8, -38, -84, 0, 16, 3, 0, 22, 8, -54, 26, 70, -36, 26, -39, 8, 63, 0, 20, -4, 6, 6, -34, 92, 40, -6, 5, 1, 0, 4, 24, -38, -22, -42, -38, -6, 23, -18, -72, 0, -57, -26, -40, -26, 42, 4, 8, -10, -66, 70, 0, 117, -38, 4, -14, -122, 39, 20, -93, 52, 14, 0, -25, -16, -24, 3, 78, -46, -76, 15, -154, -66, 0, 92, -52, -9, -76, -7, -34, -54, 32, 37, -114, 0, -14, -7, 72, -52, 60, -8, 6, 28, 134, -12, 0, -2, 12, -12, 6, -20, -165, -16, -42, 26, -68, 0, 39, -48, 41, 16, 17, -7, 16, 28, -6, -20, 0, -9, 148, 48, -66, 115, 4, 30, 66, 12, -24, 0, -66, -24, -131, -62, -70, -44, 92, -48, 66, -18, 0, -66, 92, 4, 111, 12, 39, 2, -112, 2, 72, 0, 12, -18, 16, 52, -103, 15, 72, 5, 32, 21, 0, 44, -129, -102, 4, 20, -52, 3, -20, -26, -37, 0, -34, -2, -110, -89, 28, 15, -44, -7, -6, 52, 0, -49, -18, -26, -8, -29, 20, 12, -66, 21, 11, 0, -16, -1, 49, -22, -12, -18, -29, -10, -16, -36, 0, -9, 24, 28, -170, 9, 19, 18, -30, 14, 63, 0, 4, 16, 34, -27, -98, 14, -49, 14, -26, 14, 0, 10, -116, 14, 36, -38, 4, -3, -12, 95, 12, 0, -144, -32, -24, 33, 10, 74, 98, -8, -14, -120, 0, -26, 80, 61, 27, -2, 114, 4, -182, 40, -136, 0, -58, -18, 88, -6, 34, 18, -8, 64, 112, -5, 0, 30, 80, -54, 5, -27, 6, 56, -24, 26, -94, 0, 33, 30, -44, -12, -66, 43, 42, -93, 68, -23, 0, -2, -89, -46, 33, 15, 104, 2, 66, 2, -4, 0, -26, 32, 91, -16, -88, -40, 249, 6, 12, -40, 0, -10, 62, 23, -28, 40, 28, -18, 2, 2, 66, 0, 90, 28, 22, -1, 85, -9, -9, 8, -26, -2, 0, -21, 48, 10, 66, 6, 8, -32, -64, 9, -39, 0, -8, 7, 14, 4, -168, -18, 38, 71, 62, 48, 0, -27, 49, 22, -5, -16, -44, 1, -17, -124, -28, 0, 200, 16, 46, 0, 20, 9, 32, -2, -66, -120, 0, -10, 56, -5, 27, 58, -36, 54, -2, -13, -30, 0, 78, 56, -210, 40, 54, 8, -52, 36, 79, -18, 0, -178, 93, 5, -160, -5, -30, -15, -3, -38, 18, 0, 48, 158, 130, 17, -48, 6, 56, -42, -96, -38, 0, 58, -12, -48, -128, 3, 26, -54, 28, 92, 37, 0, -144, 12, -116, 24, 1, 3, 150, -36, 60, 2, 0, -7, -114, 2, -120, 85, -63, -2, -62, 4, -70, 0, 54, 4, 198, -14, 8, -16, 23, -40, 225, 8, 0, -38, 88, -84, -51, 0, 9, 16, -90, 3, -126, 0, -18, 22, -21, 8, 51, -54, 120, 26, 24, 70, 0, -36, 18, 26, -12, -39, -184, 8, -16, 63, 56, 0, 7, 20, -38, -4, 96, 6, 175, 6, 12, -34, 0, 92, 56, 40, -10, -6, 84, 5, 111, 1, -148, 0, 14, 4, -101, 24, -130, -38, -148, -22, -270, -42, 0, -38, 24, -6, 132, 23, -10, -18, 138, -72, -46, 0, -50, -57, 102, -26, 66, -40, 93, -26, 66, 42, 0, 4, 30, 8, -70, -10, 45, -66, 0, 70, 28, 0, -146, 117, -60, -38, -52, 4, -82, -14, -72, -122, 0, 39, 146, 20, -132, -93, 58, 52, 37, 14, -50, 0, -54, -25, -88, -16, 50, -24, -50, 3, -140, 78, 0, -46, 92, -76, -252, 15, -24, -154, -170, -66, 83, 0, -10, 92, -27, -52, 2, -9, 0, -76, 17, -7, 0, -34, 71, -54, 46, 32, -78, 37, 44, -114, 180, 0, 68, -14, 46, -7, 32, 72, 120, -52, -18, 60, 0, -8, -57, 6, -74, 28, 49, 134, -14, -12, 3, 0, -94, -2, -384, 12, 14, -12, -30, 6, -145, -20, 0, -165, 60, -16, 17, -42, 69, 26, -156, -68, -56, 0, -100, 39, -84, -48, -182, 41, -6, 16, 116, 17, 0, -7, -86, 16, 6, 28, 406, -6, 142, -20, 44, 0, -78, -9, -84, 148, -24, 48, -56, -66, -84, 115, 0, 4, 56, 30, -77, 66, 69, 12, 136, -24, -30, 0, -36, -66, 92, -24, -84, -131, 10, -62, -18, -70, 0, -44, 27, 92, 8, -48, -190, 66, -8, -18, -70, 0, -123, -66, -30, 92, 248, 4, -16, 111, 59, 12, 0, 39, 105, 2, -95, -112, 68, 2, 28, 72, -52, 0, 46, 12, 4, -18, -15, 16, -63, 52, -33, -103, 0, 15, -122, 72, 86, 5, -64, 32, -200, 21, 63, 0, -60, 44, -88, -129, 72, -102, -10, 4, -111, 20, 0, -52, 246, 3, -30, -20, -12, -26, 15, -37, 137, 0, 78, -34, -1, -2, 150, -110, -58, -89, -16, 28, 0, 15, 48, -44, 19, -7, -10, -6, 132, 52, 4, 0, -36, -49, 76, -18, -28, -26, 226, -8, 12, -29, 0, 20, -7, 12, -96, -66, -50, 21, 98, 11, 30, 0, 2, -16, 337, -1, 88, 49, -58, -22, 42, -12, 0, -18, 140, -29, -4, -10, 99, -16, -72, -36, -276, 0, -92, -9, 132, 24, -90, 28, -16, -170, 24, 9, 0, 19, -30, 18, -69, -30, 6, 14, -70, 63, 108, 0, -168, 4, -120, 16, 152, 34, -17, -27, -48, -98, 0, 14, 113, -49, 102, 14, -6, -26, 128, 14, 8, 0, -9, 10, 74, -116, 86, 14, -84, 36, 340, -38, 0, 4, -56, -3, -68, -12, -96, 95, 34, 12, -348, 0, 36, -144, 28, -32, -22, -24, 76, 33, -64, 10, 0, 74, -43, 98, -13, -8, -44, -14, 102, -120, -110, 0, -110, -26, 26, 80, -162, 61, 6, 27, 4, -2, 0, 114, -63, 4, 86, -182, 42, 40, 186, -136, 68, 0, 52, -58, -260, -18, -24, 88, 71, -6, 162, 34, 0, 18, -30, -8, 88, 64, -72, 112, -32, -5, -208, 0, -93, 30, -105, 80, -125, -54, 26, 5, 32, -27, 0, 6, -15, 56, 20, -24, 210, 26, -32, -94, 88, 0, 58, 33, 54, 30, 20, -44, 8, -12, -96, -66, 0, 43, -65, 42, -6, -93, -64, 68, 234, -23, -66, 0, 230, -2, -162, -89, 138, -46, -156, 33, 166, 15, 0, 104, 150, 2, 156, 66, -64, 2, -52, -4, 52, 0, -108, -26, 57, 32, 360, 91, 48, -16, -2, -88, 0, -40, -116, 249, 210, 6, 86, 12, -84, -40, -90, 0, 38, -10, -72, 62, -68, 23, 3, -28, -92, 40, 0, 28, 66, -18, -22, 2, -16, 2, -38, 66, -150, 0, 48, 90, -65, 28, -60, 22, -138, -1, 195, 85, 0, -9, -10, -9, 78, 8, -96, -26, 6, -2, -134, 0, 111, -21, -4, 48, -206, 10, -30, 66, 14, 6, 0, 8, 22, -32, 92, -64, 124, 9, 204, -39, 58, 0, 28, -8, -135, 7, 86, 14, 100, 4, 34, -168, 0, -18, 22, 38, -52, 71, 90, 62, 96, 48, 70, 0, 22, -27, 14, 49, -100, 22, -120, -5, 138, -16, 0, -44, -46, 1, -378, -17, -40, -124, -66, -28, 78, 0, 69, 200, 93, 16, -122, 46, 30, 0, 16, 20, 0, 9, -74, 32, 72, -2, 138, -66, -8, -120, -5, 0, 84, -10, 40, 56, 131, -5, -456, 27, 164, 58, 0, -36, 54, 54, 0, -2, 57, -13, -100, -30, 72, 0, 18, 78, -102, 56, 49, -210, 34, 40, -131, 54, 0, 8, -18, -52, 139, 36, -108, 79, -92, -18, 128, 0, 30, -178, 26, 93, 54, 5, 184, -160, -35, -5, 0, -30, -162, -15, -139, -3, -172, -38, 54, 18, 109, 0, -126, 48, 168, 158, -56, 130, 56, 17, 132, -48, 0, 6, -252, 56, -134, -42, 166, -96, 156, -38, 121, 0, 126, 58, -294, -12, 88, -48, -20, -128, 50, 3, 0, 26, 22, -54, 106, 28, -144, 92, 82, 37, 220, 0, -2, -144, 64, 12, 129, -116, -98, 24, -81, 1, 0, 3, 50, 150, -20, -36, 22, 60, -12, 2, -27, 0, 72, -7, 66, -114, 10, 2, -105, -120, 4, 85, 0, -63, -200, -2, 144, -62, -40, 4, 72, -70, -193, 0, 264, 54, 48, 4, -38, 198, -30, -14, -64, 8, 0, -16, 88, 23, -89, -40, -40, 225, 40, 8, 210, 0, -72, -38, -1, 88, -320, -84, -20, -51, -38, 0, 0, 9, 63, 16, -188, -90, -207, 3, 62, -126, 36, 0, -106, -18, 40, 22, -72, -21, -50, 8, -74, 51, 0, -54, -88, 120, -24, 26, 32, 24, -89, 70, 144, 0, -184, -36, 64, 18, 6, 26, -78, -12, -172, -39, 0, -184, -18, 8, 68, -16, 136, 63, -166, 56, 632, 0, 228, 7, -66, 20, 108, -38, -87, -4, -84, 96, 0, 6, -66, 175, -94, 6, -240, 12, -46, -34, 48, 0, 68, 92, -48, 56, -42, 40, 76, -10, -42, -6, 0, 84, -117, 5, 40, 111, 34, 1, -83, -148, 27, 0, -96, 14, 46, 4, 64, -101, -114, 24, 206, -130, 0, -38, -16, -148, 0, -22, -23, -270, 78, -42, 131, 0, -117, -38, 10, 24, 262, -6, -54, 132, 74, 23, 0, -10, -80, -18, -12, 138, 6, -72, 30, -46, 69, 0, 296, -50, -30, -57, -53, 102, 203, -26, -13, 66, 0, -40, 90, 93, -52, -26, 62, 66, 210, 42, 64, 0, 94, 4, -16, 30, -51, 8, -124, -70, 86, -10, 0, 45, 92, -66, -100, 0, -72, 70, -36, 28, 115, 0, 0, -146, 5, 117, -226, -60, 4, -38, -42, -52, 0, 4, -132, -82, 22, -14, -100, -72, 116, -122, -116, 0, 216, 39, -90, 146, -104, 20, -256, -132, 36, -93, 0, 58, 180, 52, -120, 37, 202, 14, -42, -50, 124, 0, 136, -54, 54, -25, 51, -88, -62, -16, -168, 50, 0, -24, 72, -50, 110, 3, -84, -140, -1, 78, -56, 0, 96, -46, 228, 92, 14, -76, 27, -252, 96, 15, 0, -24, 12, -154, 177, -170, 376, -66, -104, 83, -50, 0, 3, -10, 122, 92, -12, -27, 84, -52, -72, 2, 0, -9, -166, 0, 26, -76, -36, 17, 418, -7, -84, 0, -40, -34, -110, 71, -81, -54, -2, 46, 200, 32, 0, -78, 63, 37, 74, 44, 136, -114, 125, 180, -64, 0, 116, 68, -213, -14, 524, 46, -106, -7, -80, 32, 0, 72, -80, 120, 36, -52, -152, -18, 234, 60, 2, 0, -38, -8, 74, -57, 100, 6, -282, -74, 50, 28, 0, 49, -300, 134, -47, -14, -46, -12, -140, 3, -2, 0, -36, -94, 75, -2, 107, -384, -32, 12, -16, 14, 0, -12, 102, -30, 48, 6, -54, -145, -30, -20, -72, 0, 0, -165, 18, 60, 28, -16, -130, 17, -42, -42, 0, 69, -170, 26, -55, -156, 77, -68, -10, -56, 73, 0, 45, -100, -76, 39, 84, -84, 34, -48, 87, -182, 0, 41, -66, -6, -135, 16, 124, 116, 10, 17, -141, 0, 58, -7, 152, -86, 70, 16, 117, 6, 191, 28, 0, 406, 90, -6, 232, 142, 13, -20, -55, 44, 624, 0, 2, -78, -76, -9, -6, -84, 140, 148, -38, -24, 0, 48, -264, -56, -11, -66, -368, -84, 12, 115, -74, 0, 94, 4, -180, 56, 174, 30, 68, -77, -88, 66, 0, 69, 304, 12, 24, 136, 44, -24, 156, -30, -42, 0, 110, -36, -210, -66, 106, 92, 48, -24, -214, -84, 0, -131, 64, 10, 125, -62, -26, -18, 42, -70, -99, 0, -97, -44, 232, 27, -304, 92, -24, 8, 56, -48, 0, -190, 74, 66, -26, -8, 168, -18, 71, -70, 72, 0, -282, -123, -66, -66, -80, -30, 64, 92, 288, 248, 0, 4, -320, -16, 156, 111, -122, 59, -102, 12, 28, 0, 120, 39, 44, 105, 66, 2, 44, -95, 70, -112, 0, 68, -248, 2, -42, 28, -20, 72, -73, -52, 178, 0, -130, 46, 10, 12, 292, 4, 87, -18, 68, -15, 0, 16, -24, -63, -117, 52, 251, -33, 78, -103, 186, 0, -85, 15, 20, -122, -36, 72, -298, 86, 80, 5, 0, -64, -97, 32, 42, -200, 58, 21, 16, 63, 59, 0, 8, -60, 40, 44, 36, -88, -88, -129, 80, 72, 0, -102, -96, -10, -326, 4, 276, -111, 3, 20, 70, 0, -72, -52, 96, 246, -78, 3, 204, -30, 89, -20, 0, -12, -117, -26, 206, 15, 76, -37, -145, 137, -92, 0, 105, 78, 114, -34, 230, -1, -60, -2, 60, 150, 0, -110, 92, -58, 72, -89, -117, -16, -102, 28, -76, 0, 186, 15, 126, 48, 93, -44, -20, 19, -390, -7, 0, -10, 29, -6, 138, 132, 144, 52, 148, 4, 166, 0, -95, -36, 60, -49, -22, 76, 37, -18, 52, -28, 0, -26, -4, 226, 15, -8, 177, 12, -36, -29, -130, 0, -80, 20, -86, -7, 228, 12, 150, -96, -42, -66, 0, -50, -225, 21, -140, 98, -52, 11, 246, 30, 114, 0, -8, 2, 186, -16, -40, 337, 49, -1, 26, 88, 0, 49, 195, -58, 318, -22, -96, 42, 10, -12, 22, 0, -60, -18, 0, 140, -204, -29, -224, -4, -55, -10, 0, 99, 7, -16, 126, -72, -12, -36, -72, -276, -54, 0, -130, -92, 186, -9, -60, 132, -8, 24, -84, -90, 0, 28, -328, -16, 28, -170, 81, 24, 83, 9, 176, 0, 36, 19, -612, -30, -42, 18, -102, -69, 224, -30, 0, 6, 180, 14, 35, -70, 36, 63, 109, 108, -264, 0, -36, -168, -18, 4, 54, -120, -10, 16, 6, 152, 0, 34, -176, -17, 145, -27, 264, -48, 258, -98, 160, 0, -420, 14, 108, 113, 28, -49, 189, 102, -92, 14, 0, -6, -46, -26, 66, 128, 60, 14, -158, 8, 182, 0, 27, -9, -390, 10, -106, 74, 114, -116, -192, 86, 0, 14, 72, -84, 82, 36, -118, 340, -169, -38, 115, 0, -256, 4, 52, -56, 222, -3, 132, -68, 83, -12, 0, -96, -156, 95, -100, 34, -256, 12, 140, -348, 126, 0, 270, 36, 138, -144, -108, 28, -231, -32, 18, -22, 0, -24, -72, 76, -24, 33, 32, -64, -570, 10, -90, 0, 94, 74, -210, -43, 97, 98, 96, -13, -69, -8, 0, -44, -110, -14, -186, 102, -32, -120, -132, -110, 198, 0, 52, -110, 156, -26, -96, 26, 120, 80, -18, -162, 0, 61, -78, 6, -162, 27, -60, 4, 136, -2, 174, 0, 18, 114, 122, -63, 28, 4, -227, 86, 78, -182, 0, 42, 208, 40, 73, 186, 118, -136, -152, 68, 34, 0, 60, 52, 2, -58, -64, -260, -216, -18, -34, -24, 0, 88, 194, 71, 204, -6, 4, 162, 162, 34, -250, 0, -23, 18, -216, -30, -180, -8, -108, 88, -60, 64, 0, -72, 149, 112, 109, -32, -179, -5, 52, -208, -27, 0, 172, -93, -135, 30, -16, -105, -372, 80, 77, -125, 0, -54, 174, 26, 123, 5, 180, 32, 52, -27, 79, 0, 132, 6, -32, -15, 42, 56, 104, 20, 32, -24, 0, 210, 44, 26, 178, -32, -216, -94, 6, 88, -104, 0, -84, 58, 176, 33, -246, 54, 183, 30], "weight_parity": 1, "has_non_self_twist": 0, "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]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "4598.2.a.bs", "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], [1, 0, 0, 0], [1, -1, 0, 0], [1, 0, 0, 0], [0, -1, 0, 0], [1, -1, 0, 0], [1, 0, 0, 1], [1, 0, 0, 0], [4, 0, 1, -1], [0, -1, 0, 0], [0, 0, 0, 0], [1, -1, 0, 0], [0, 0, -1, 0], [1, 0, 0, 1], [6, 1, 1, -1], [1, 0, 0, 0], [-2, 0, 0, -1], [4, 0, 1, -1], [1, 0, 0, 0], [0, -1, 0, 0], [-1, -1, 0, 3], [0, 0, 0, 0], [-1, 0, 1, 0], [1, -1, 0, 0], [1, 2, 1, -1], [0, 0, -1, 0], [3, -3, -1, -1], [1, 0, 0, 1], [-3, -1, -1, 1], [6, 1, 1, -1], [2, -2, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [-2, 0, 0, -1], [-2, -1, 0, 2], [4, 0, 1, -1], [3, 1, 0, 2], [1, 0, 0, 0], [0, 2, 1, -2], [0, -1, 0, 0], [2, 1, -1, -1], [-1, -1, 0, 3], [4, -2, -2, 0], [0, 0, 0, 0], [2, -6, -2, 0], [-1, 0, 1, 0], [-3, 0, -1, 1], [1, -1, 0, 0], [8, -4, 1, 0], [1, 2, 1, -1], [0, 2, 0, -3], [0, 0, -1, 0], [-3, 1, 1, -1], [3, -3, -1, -1], [0, 0, 0, 0], [1, 0, 0, 1], [1, -1, 0, 0], [-3, -1, -1, 1], [1, -1, -1, 0], [6, 1, 1, -1], [2, -1, -2, 2], [2, -2, 0, 0], [-4, 2, 1, 5], [1, 0, 0, 0], [0, 2, 2, -2], [0, 0, 0, 0], [2, 2, -1, -2], [-2, 0, 0, -1], [-1, -1, -1, 2], [-2, -1, 0, 2], [-2, -3, 1, 1], [4, 0, 1, -1], [-2, 0, 0, 1], [3, 1, 0, 2], [-9, -5, -3, 1], [1, 0, 0, 0], [0, 0, 0, 0], [0, 2, 1, -2], [6, -1, 1, 1], [0, -1, 0, 0], [11, 2, 1, -5], [2, 1, -1, -1], [-6, 1, 0, 0], [-1, -1, 0, 3], [2, 2, 0, -2], [4, -2, -2, 0], [1, 6, 2, 0], [0, 0, 0, 0], [-2, 1, 1, 1], [2, -6, -2, 0], [-6, 2, -2, 0], [-1, 0, 1, 0], [14, 0, 2, -2], [-3, 0, -1, 1], [0, -1, 0, 0], [1, -1, 0, 0], [-10, 0, 0, 0], [8, -4, 1, 0], [0, 0, 0, 0], [1, 2, 1, -1]]}