# Stored data for newform 5445.2.a.cb, downloaded from the LMFDB on 22 May 2022. {"level_primes": [3, 5, 11], "is_polredabs": true, "sato_tate_group": "1.2.3.c1", "rm_discs": [], "conrey_indexes": [1], "cm_discs": [], "trace_hash": 191754570435247965, "level_radical": 165, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 54, "analytic_conductor": 43.47854390058717, "inner_twist_count": 1, "field_disc_factorization": [[2, 8], [5, 4], [89821, 1]], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "5445.2.a.cb", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": false, "minimal_twist": "495.2.n.g", "field_poly_is_cyclotomic": false, "dim": 8, "trace_zratio": {"__RealLiteral__": 0, "data": "0.010", "prec": 17}, "traces": [0, 8, -4, 0, 6, 8, 0, -8, -12, 0, -4, 0, 0, -6, 14, 0, 14, -8, 0, 2, 6, 0, 0, 4, 0, 8, -2, 0, -24, -22, 0, 10, -28, 0, -2, -8, 0, -14, -20, 0, -12, -22, 0, -14, 0, 0, 2, 10, 0, 0, -4, 0, 10, -18, 0, 0, 34, 0, 12, 2, 0, 14, -30, 0, 30, -6, 0, 10, -6, 0, 14, -2, 0, -16, -24, 0, 22, 0, 0, 16, 14, 0, 10, -46, 0, -8, -28, 0, 0, 38, 0, 8, -24, 0, 10, 2, 0, -4, -4, 0, 6, -26, 0, 12, -18, 0, 48, -66, 0, 8, 0, 0, -18, 6, 0, 4, -82, 0, -60, -38, 0, 0, -22, 0, 46, 8, 0, -30, -46, 0, -2, -60, 0, -68, 6, 0, -18, -8, 0, -8, -24, 0, 52, 0, 0, -22, 68, 0, 14, -54, 0, 32, -96, 0, 0, 10, 0, -34, -54, 0, -28, -18, 0, -26, -28, 0, 32, -40, 0, 6, -2, 0, -20, -4, 0, -8, 0, 0, 6, -4, 0, -62, -44, 0, 42, -14, 0, 0, -14, 0, -20, 2, 0, 0, -4, 0, -24, -22, 0, 14, -12, 0, 44, 40, 0, -22, 0, 0, 26, 0, 0, 20, 32, 0, 34, -14, 0, 4, -84, 0, 0, 64, 0, 22, 58, 0, 36, -36, 0, 16, 2, 0, 106, -32, 0, 10, 28, 0, -30, -78, 0, 60, 0, 0, 52, 0, 0, -10, -114, 0, -4, -60, 0, 0, 18, 0, 22, -22, 0, 36, 10, 0, -50, -30, 0, -18, 18, 0, 70, 4, 0, -6, 24, 0, -16, 0, 0, 2, 60, 0, 34, -60, 0, -96, -42, 0, 0, 54, 0, -4, 12, 0, 30, -26, 0, 2, 38, 0, -104, -82, 0, -14, -30, 0, 94, 14, 0, -64, 0, 0, -30, -30, 0, 18, 24, 0, 114, -40, 0, 0, 30, 0, 34, 66, 0, -6, 44, 0, 30, -64, 0, 40, 58, 0, -24, 10, 0, -4, -42, 0, -6, 0, 0, -46, 144, 0, -54, -104, 0, 18, 14, 0, 0, 56, 0, -2, -26, 0, -18, -54, 0, 34, 32, 0, -16, -16, 0, -44, -46, 0, -24, -66, 0, -10, 0, 0, 104, -36, 0, -60, 22, 0, 116, -82, 0, 0, -58, 0, -72, 18, 0, 6, -2, 0, 112, 16, 0, 12, 88, 0, 14, 0, 0, -74, -16, 0, -66, 0, 0, 16, 10, 0, -26, -8, 0, -46, -72, 0, 0, -22, 0, 0, 94, 0, -30, -8, 0, -20, -84, 0, -28, -90, 0, 38, 96, 0, 108, -20, 0, 18, 0, 0, -38, -60, 0, 38, 2, 0, -172, 8, 0, 0, 26, 0, -8, 8, 0, 14, 92, 0, -24, -30, 0, -98, -110, 0, -138, -8, 0, 44, 10, 0, 24, 0, 0, 2, 28, 0, 146, -8, 0, 68, 40, 0, 0, -4, 0, -14, -150, 0, -4, -100, 0, 6, 90, 0, 168, -14, 0, -2, 6, 0, 12, -52, 0, -26, 0, 0, -152, -40, 0, -2, 30, 0, -42, 12, 0, 0, -6, 0, -18, 10, 0, -62, 16, 0, -32, -78, 0, -38, 48, 0, -66, -46, 0, -66, -18, 0, -152, 0, 0, 42, 94, 0, -64, 8, 0, 6, -6, 0, 0, -22, 0, -40, -62, 0, 78, -6, 0, -114, -18, 0, 68, -114, 0, 6, -54, 0, -60, 20, 0, 46, 0, 0, -44, 4, 0, -24, 4, 0, -82, 74, 0, 0, 32, 0, -56, 18, 0, 62, -60, 0, -28, 4, 0, -38, 128, 0, 30, 38, 0, 94, 46, 0, -28, 0, 0, -40, -2, 0, -22, -56, 0, -34, 152, 0, 0, 70, 0, 0, 46, 0, -14, -58, 0, 8, -28, 0, -186, -28, 0, -38, 14, 0, -44, -30, 0, -40, 0, 0, -46, -88, 0, -6, 58, 0, 130, 10, 0, 0, -2, 0, -76, -16, 0, -60, -32, 0, 12, -88, 0, 48, 42, 0, -90, -68, 0, 70, 80, 0, 6, 0, 0, 32, 28, 0, -78, 38, 0, 0, -18, 0, 0, -68, 0, -8, -102, 0, -198, 52, 0, -6, 192, 0, -14, -8, 0, -108, 38, 0, -24, 102, 0, -74, 0, 0, 48, -60, 0, 20, 52, 0, 28, 18, 0, 0, -160, 0, 50, 152, 0, 86, 96, 0, -144, -22, 0, 56, 182, 0, 68, -100, 0, -130, -78, 0, 34, 0, 0, 84, 14, 0, -82, -58, 0, -54, -30, 0, 0, 132, 0, -34, -178, 0, 60, 32, 0, 72, 104, 0, -96, -38, 0, 42, -74, 0, 92, -40, 0, 36, 0, 0, 152, -74, 0, 10, 154, 0, -226, 52, 0, 0, -60, 0, -24, -34, 0, 60, -100, 0, -54, 94, 0, -92, 198, 0, -144, 106, 0, 4, -28, 0, 138, 0, 0, -18, 12, 0, 116, 100, 0, 130, 138, 0, 0, -26, 0, -40, -32, 0, -28, -36, 0, -52, 50, 0, 112, -110, 0, 62, 32, 0, 166, 126, 0, -40, 0, 0, -102, -92, 0, -38, 6, 0, -46, 6, 0, 0, -102, 0, -2, -66, 0, 12, 150, 0, 144, -74, 0, 10, -20, 0, 170, -44, 0, -4, 102, 0, -188, 0, 0, 54, -82, 0, 2, -8, 0, 98, 160, 0, 0, 22, 0, 82, 110, 0, 136, 12, 0, 30, 6, 0, 44, -18, 0, -4, 84, 0, -186, -16, 0, 108, 0, 0, -70, -62, 0, 20, 166, 0, -44, 50, 0, 0, -54, 0, 44, 76, 0, 78, 42, 0, 78, -112, 0, -14, 180, 0, 276, -56, 0, 184, 32, 0, -34, 0, 0, 28, 40, 0, -14, 28, 0, -118, 54, 0, 0, -86, 0, -20, -20, 0, 106, 100, 0, 2, 12, 0, -66, 8, 0, -26, -30, 0, 14, 0, 0, 22, 0, 0, -4, -128, 0, 86, 208, 0, 290, 98, 0, 0, -24, 0, 112, 26, 0, -22, 92, 0, 50, 92, 0, 178, -50, 0, -108, 14, 0, -12, 186, 0, -12, 0, 0, -76, 44, 0, -110, 92, 0, 98, 44, 0, 0, 178, 0, 40, 128, 0, -138, -124, 0, -48, -74, 0, 84, -22, 0, -166, 36, 0, 0, -48, 0, 10, 0, 0, -10, 2, 0, -64, 26, 0, 112, 50, 0, 0, -80, 0, -36, -10, 0, 0, 148, 0, 64, 20, 0, -48, 14, 0, 32, -74, 0, -174, 206, 0, 158, 0, 0, 64, 34, 0, -2, 38, 0, -14, 186, 0, 0, -54, 0, 68, -68, 0, -268, 4, 0, -4, 342, 0, -84, -106, 0, 130, 90, 0, 12, 176, 0, 156, 0, 0, 210, -164, 0, 64, 256, 0, -118, 114, 0, 0, -130, 0, -26, 22, 0, 10, 232, 0, 58, 8, 0, -94, 48, 0, 44, 58, 0, 112, 36, 0, 50, 0, 0, -36, -98, 0, -18, -76, 0, 174, -44, 0, 0, 16, 0, -24, 24, 0, 2, 36, 0, -110, 152, 0, 132, 14, 0, 104, 106, 0, 38, -130, 0, -32, 0, 0, -194, -48, 0, 22, 162, 0, -22, 10, 0, 0, -186, 0, 28, -18, 0, -68, 42, 0, 18, -6, 0, 68, -30, 0, -86, -2, 0, -78, 96, 0, 6, 0, 0, 48, 38, 0, 138, 60, 0, -38, -66, 0, 0, -102, 0, -60, 58, 0, 202, 6, 0, -50, 52, 0, 136, 80, 0, 0, 32, 0, -312, 142, 0, 16, 0, 0, -120, -10, 0, 2, 72, 0, -114, -66, 0, 0, -8, 0, 26, 158, 0, 22, -4, 0, -48, -26, 0, -60, 136, 0, 98, 56, 0, 34, 34, 0, 0, 0, 0, -20, -76, 0, 18, 66, 0, -198, 158, 0, 0, 64, 0, -144, 22, 0, 296, -96, 0, -22, 258, 0, -216, -34, 0, 52, 40, 0, -88, 36, 0, -132, 0, 0, 10, -24, 0, 134, 202, 0, -94, 88, 0, 0, -50, 0, 252, 76, 0, -30, 158, 0, 24, -38, 0, 178, 260, 0, -90, -18, 0, 62, 108, 0, 18, 0, 0, 6, -46, 0, -76, 56, 0, 86, 70, 0, 0, -164, 0, 4, -114, 0, -250, 138, 0, -4, 174, 0, 100, -6, 0, -32, -118, 0, 24, 132, 0, -20, 0, 0, 142, -18, 0, -94, -16, 0, 250, 174, 0, 0, 284, 0, 38, -6, 0, -14, -8, 0, -34, 2, 0, -30, -36, 0, 60, 34, 0, 16, 246, 0, -30, 0, 0, -72, 34, 0, -148, 54, 0, -60, 58, 0, 0, 4, 0, -26, 76, 0, -64, -96, 0, 164, 2, 0, -42, 24, 0, 156, 4, 0, 128, -136, 0, 94, 0, 0, 126, -48, 0, 54, -180, 0, -256, -44, 0, 0, -72, 0, 68, -4, 0, -244, 156, 0, 12, -190, 0, -222, -44, 0, -184, -142, 0, -14, 30, 0, 288, 0, 0, -26, 104, 0, 108, 30, 0, 90, 54, 0, 0, 2, 0, -6, -2, 0, 38, 160, 0, 100, 154, 0, 148, 40, 0, 24, -104, 0, 170, 50, 0, -82, 0, 0, -110, -86, 0, -134, 190, 0, 26, -14, 0, 0, -30, 0, -30, 350, 0, 106, 0, 0, -130, 48, 0, -66, 94, 0, 60, 122, 0, 14, 72, 0, 66, 0, 0, 184, -224, 0, 114, -64, 0, -102, -36, 0, 0, -10, 0, 54, -284, 0, -72, -58, 0, -16, -30, 0, -240, 28, 0, -30, 112, 0, -14, -94, 0, 6, 0, 0, 48, 18, 0, 10, 36, 0, 24, 12, 0, 0, -238, 0, 182, -46, 0, -48, 114, 0, -34, 26, 0, -40, -42, 0, -182, 4, 0, 150, 244, 0, -200, 0, 0, -34, 14, 0, 30, 148, 0, -114, -106, 0, 0, 2, 0, 96, 34, 0, 92, -12, 0, 66, -170, 0, -38, -62, 0, -162, -34, 0, -346, -6, 0, -118, 0, 0, 44, -86, 0, 80, 32, 0, 184, -2, 0, 0, 30, 0, -90, -132, 0, -64, 4, 0, -38, -62, 0, 104, -106, 0, 72, 40, 0, 8, -58, 0, 58, 0, 0, -198, -124, 0, 70, -136, 0, -28, -24, 0, 0, 90, 0, 10, -112, 0, -104, -72, 0, 84, 38, 0, 124, -4, 0, -84, 160, 0, -42, -42, 0, 6, 0, 0, -14, -118, 0, -94, -6, 0, 72, 94, 0, 0, 12, 0, -240, -8, 0, 20, -66, 0, -26, -46, 0, 188, 98, 0, 144, -58, 0, -136, -382, 0, -54, 0, 0, -32, -54, 0, -142, 64, 0, -104, 154, 0, 0, -50, 0, -42, -194, 0, 164, 18, 0, 100, -58, 0, 14, -124, 0, 54, -180, 0, -78, 98, 0, 14, 0, 0, 104, 134, 0, 56, -112, 0, -248, -86, 0, 0, -112, 0, 60, -2, 0, -114, -164, 0, -26, 186, 0, -28, 82, 0, 0, 150, 0, 18, -18, 0, 44, 0, 0, -54, 340, 0, 268, -16, 0, 12, -42, 0, 0, 34, 0, 46, 108, 0, 32, -98, 0, -146, -178, 0, -80, 174, 0, -14, -16, 0, 294, -64, 0, -16, 0, 0, -10, 52, 0, -40, 14, 0, 62, -44, 0, 0, 8, 0, -46, -162, 0, 24, 34, 0, 132, -36, 0, 196, -24, 0, 68, -122, 0, -66, -216, 0, -166, 0, 0, -56, 118, 0, 62, -10, 0, 40, 100, 0, 0, -38, 0, 8, 62, 0, -60, 36, 0, 4, 104, 0, 112, -196, 0, -36, 60, 0, -44, 2, 0, 192, 0, 0, -140, -60, 0, 110, 86, 0, 22, -98, 0, 0, -120, 0, -20, 38, 0, 82, 116, 0, 62, -92, 0, -82, 76, 0, -4, -20, 0, -154, -98, 0, -146, 0, 0, -50, 104, 0, -58, -168, 0, -8, -106, 0, 0, 204, 0, 192, -72, 0, 92, -120, 0, 18, 14, 0, -124, 70, 0, 32, -330, 0, -50, 6, 0, -110, 0, 0, -2, -90, 0, 0, -306, 0, 282, -14, 0, 0, 112, 0, 14, -38, 0, 16, -268, 0, -62, -66, 0, 14, 32, 0, -6, 12, 0, -58, 116, 0, 88, 0, 0, 18, -4, 0, -104, 16, 0, 84, 14, 0, 0, -16, 0, 0, 154, 0, -206, -8, 0, -20, -30, 0, -18, -74, 0, -114, 72, 0, -16, 174, 0, -32, 0, 0, -86, 20, 0, 2, -66, 0, -40, -56, 0, 0, -14, 0, -62, 48, 0, 42, -14, 0, 184, 16, 0, 108, -142, 0, 10, 110, 0, 116, 68, 0, 48, 0, 0, 92, -26, 0, -146, -136, 0, -8, 266, 0, 0, 198, 0, -44, -14, 0, -230, -46, 0, 2, 90, 0, -72, -98, 0, 94, -100, 0, 122, -122, 0, 214, 0, 0, 134, 178, 0, -22, 222, 0, 62, 130, 0, 0, 48, 0, -310, 0, 0, 22, 6, 0, 94, -104, 0, -32, 98, 0, -260, -106, 0, 72, -30, 0, 90, 0, 0, -8, -126, 0, -104, 32, 0, 152, -222, 0, 0, -20, 0, 64, 6, 0, -84, 160, 0, 56, -204, 0, 74, -30, 0, 292, -28, 0, -74, -98, 0, -90, 0, 0, -138, 204, 0, -154, -178, 0, -76, 38, 0, 0, 236, 0, 96, -84, 0, -30, -166, 0, -272, 96, 0, -54, 108, 0, 162, 124, 0, -20, -234, 0, -24, 0, 0, 62, 86, 0, 106, 18, 0, -84, -132, 0, 0, 162, 0, 112, -106, 0, 98, -282, 0, -84, -38, 0, -98, 84, 0, -60, 72, 0, -174, -152, 0, -98, 0, 0, 142, 38, 0, 164, -186, 0, 2, -154, 0, 0, 120, 0, -284, -6, 0, 280, -172, 0, -88, -134, 0, 8, -270, 0, 82, 6, 0, 246, -172, 0, -168, 0, 0, -202, -184, 0, 26, -132, 0, -84, -136, 0, 0, -118, 0, 88, -8, 0, 434, 72, 0, 8, 116, 0, -194, -122, 0, -38, -52, 0, 130, 14, 0, -112, 0, 0, 92, -60, 0, -16, 10, 0, -150, -24, 0, 0, -24, 0, 50, 160, 0, -30, 94, 0, -110, -38, 0, 102, -196, 0, -100, -98, 0, -30, -310, 0, -110, 0, 0, 20, -36, 0, 18, -102, 0, 258, -138, 0, 0, 94, 0, -8, 98, 0, 64, -96, 0, 62, -48, 0, 46, 44, 0, -190, -158, 0, 10, -176, 0, 4, 0, 0, 288, 76, 0, -114, 24, 0, 212, -2, 0, 0, 100, 0, -100, -194, 0, 156, -254, 0, 198, 2, 0, 38, -68, 0, 28, -14, 0, -54, 270, 0, 82, 0, 0, 74, 146, 0, -74, 146, 0, -8, -126, 0, 0, -54, 0, -40, 54, 0, 10, 68, 0, 50, -490, 0, 40, -64, 0, 72, 262, 0, 254, -80, 0, 170, 0, 0, 292, -18, 0, -4, -208, 0, -202, -30, 0, 0, -50, 0, 36, -14, 0, -152, -66, 0, -150, 18, 0, 52, -130, 0, 20, 16, 0, 138, -4, 0, 330, 0, 0, -100, 438, 0, -112, -296, 0, -124, -10, 0, 0, 6, 0, 16, 162, 0, 90, -4, 0, -26, 90, 0, -50, -12, 0, 108, 168, 0, 12, -156, 0, -14, 0, 0, 20, -68, 0, 108, 16, 0, -102, -2, 0, 0, 44, 0, 6, 4, 0, -104, -146, 0, -40, -310, 0, 50, 12, 0, 52, -226, 0, -52, -142, 0, -72, 0, 0, -130, 244, 0, -72, -26, 0, -122, -236, 0, 0, -128, 0, 68, -144, 0, 68, 270, 0, -78, -152, 0, -82, -104, 0, -40, -206, 0, 64, -40, 0, 62, 0, 0, -248, -2, 0, 6, 32, 0, 30, -120, 0, 0, -78, 0, 64, 176, 0, -132, -42, 0, -312, 204, 0, 12, 132, 0, -26, 256, 0, -86, -142, 0, -180, 0, 0, 112, 226, 0, -6, -50, 0, 92, -158, 0, 0, 158, 0, -250, -18, 0, 72, -162, 0, 10, -230, 0, -82, 162, 0, 64, 294, 0, 172, -62, 0, -266, 0, 0, 16, 34, 0, -216, -566, 0, -6, -150, 0, 0, -32, 0, -260, -258, 0, -78, -12, 0, -132, 92, 0, -182, -164, 0, -414, -38, 0, 18, -188, 0, 48, 0, 0, 274, 116, 0, -64, -84, 0, -50, -66, 0, 0, 6, 0, -46, 54, 0, 40, 102, 0, 90, 24, 0, -166, -66, 0, -142, -34, 0, -18, 190, 0, 90, 0, 0, -72, 74, 0, -74, -152, 0, 206, -142, 0, 0, 210, 0, 88, 124, 0, -42, 142, 0, -156, 42, 0, -14, -20, 0, 94, -96, 0, -28, 2, 0, 172, 0, 0, 134, -64, 0, -88, -304, 0, 8, -278, 0, 0, 0, 0, 86, -54, 0, -56, 6, 0, -2, 74, 0, -6, 6, 0, 38, -280, 0, -168, -194, 0, -80, 0, 0, -418, 78, 0, -22, -84, 0, -196, -150, 0, 0, 228, 0, -36, -40, 0, -72, 136, 0, -62, -38, 0, 62, -180, 0, 74, 232, 0, 6, 78, 0, 36, 0, 0, -6, -256, 0, -256, 100, 0, -2, 130, 0, 0, -114, 0, 70, 136, 0, -18, -132, 0, 14, -4, 0, 14, -10, 0, 48, 68, 0, 112, 78, 0, -114, 0, 0, -156, 166, 0, -82, -242, 0, 0, 6, 0, 0, 258, 0, -54, -36, 0, 110, -54, 0, 50, 54, 0, -48, -60, 0, 30, 100, 0, 20, -68, 0, -264, 0, 0, -54, -218, 0, 268, 46, 0, 8, -20, 0, 0, 34, 0, -80, -22, 0, 156, -92, 0, 56, -44, 0, 74, 62, 0, 4, 122, 0, -14, -214, 0, -54, 0, 0, -44, -24, 0, 238, -10, 0, 4, 6, 0, 0, 286, 0, -140, -152, 0, 82, -82, 0, -10, 222, 0, 74, 116, 0, -168, -146, 0, 60, 44, 0, 56, 0, 0, -212, -38, 0, 32, -36, 0, 80, -514, 0, 0, -150, 0, -44, -56, 0, -286, 50, 0, 18, -298, 0, -46, 44, 0, 58, 198, 0, -124, 62, 0, 50, 0, 0, -60, 286, 0, 142, -180, 0, 12, -174, 0, 0, -28, 0, -368, 304, 0, 4, -354, 0, 138, 144, 0, -78, -266, 0, -240, -38, 0, -264, 104, 0, 128, 0, 0, -98, -124, 0, 242, -36, 0, 90, 30, 0, 0, 134, 0, 38, 144, 0, 166, 54, 0], "hecke_ring_index_factorization": [], "field_poly": [1, 8, 9, -32, -3, 22, -3, -4, 1], "atkin_lehner_string": "+--", "has_non_self_twist": 0, "atkin_lehner_eigenvals": [[3, 1], [5, -1], [11, -1]], "char_values": [5445, 1, [3026, 4357, 3511], [1, 1, 1]], "Nk2": 21780, "field_poly_root_of_unity": 0, "analytic_rank": 1, "char_orbit_label": "a", "weight": 2, "trace_display": [-4, 0, 8, -8], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": false, "hecke_ring_index": 1, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q+(-1+\\beta _{1})q^{2}+(-\\beta _{1}-\\beta _{3}+\\beta _{6}+\\cdots)q^{4}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 14371360000, "level_is_prime_power": false, "relative_dim": 8, "hecke_cutters": [[2, [-1, -10, 14, 32, -8, -24, -3, 4, 1]], [7, [101, -362, 203, 290, -98, -86, 4, 8, 1]], [23, [-1, 144, 2139, 3042, 1309, 46, -65, -4, 1]], [53, [392695, 996010, 547489, 75540, -10906, -2934, -74, 18, 1]]], "space_label": "5445.2.a", "level": 5445, "is_self_dual": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_degree": 1, "char_conductor": 1, "char_orbit_index": 1, "hecke_ring_generator_nbound": 2, "hecke_orbit_code": 238690780284196165, "fricke_eigenval": 1, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6.967", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "136.243", "prec": 24}, {"__RealLiteral__": 0, "data": "21.537", "prec": 20}, {"__RealLiteral__": 0, "data": "4251.915", "prec": 27}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "nf_label": null, "artin_field": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "artin_degree": null, "qexp": [[0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, -1, 0, 0, 1, 1], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 1, 0, 0, 0, 0, -1], [0, 1, 1, 2, 0, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, -1, 0, -2, 2, 1], [3, -2, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, -2, -1, -2, 2, 0, 1, 0], [-1, -1, -2, 0, 1, -1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -2, -1, 0, 0, -1, 1], [0, -1, 0, -1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, -1, -1, 2, 0, 2, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, -1, 1, -3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-3, 2, 0, 2, -1, 0, -1, 0], [-1, 0, 0, 2, -1, 1, -2, -2], [0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, -1, -1, 2, -1, -1], [-4, 3, 1, 2, -5, 1, -4, -2], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, 0, -5, 0, -3, 0], [-1, 1, 1, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-2, -1, 2, 0, -2, -1, 1, 0], [-2, 1, -1, 2, -2, -2, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 2, 0, 0, -1, -1], [-2, 2, 2, -1, 0, 0, -3, -1], [0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 2, 3, -3, 2, -3, -1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 1, -2, -2, 0, 1, 0], [3, 0, 0, 2, 1, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [2, -1, -3, 1, 2, 0, -2, 1], [-1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [3, -2, -3, 0, 4, 1, 1, -1], [-6, 1, -2, -2, 0, -1, 2, 4], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, -2, -2, -6, 0, -3, 5, 4], [0, 0, 0, 0, 0, 0, 0, 0], [3, -6, -2, -2, 1, 0, 1, 0], [4, -2, 2, 1, 1, 0, -2, -1], [0, 0, 0, 0, 0, 0, 0, 0], [4, -1, -2, -1, 5, 2, -1, -1], [-1, 2, 0, 4, 1, 0, -1, -3], [0, 0, 0, 0, 0, 0, 0, 0], [5, -7, -6, -1, 5, -2, 5, 3], [-2, 0, 0, -1, 0, -2, 2, 1], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 2, -1, -2, 0, 4, 1], [3, -2, -4, 0, 8, -1, 2, -2], [0, 0, 0, 0, 0, 0, 0, 0], [3, -2, 0, 0, 1, 1, 0, 0], [-5, 2, -2, -1, -6, 3, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-6, 3, 1, -2, -1, 0, 1, 3], [1, -2, -2, 1, 5, 1, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [4, -6, -1, -2, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 2, 2, -1, 4, 0, 0], [2, -2, -1, -2, 2, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [5, -5, -3, 1, 6, -2, 4, 0], [-9, -1, -1, -2, -1, 4, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, -2, 0, 1, -1, 1, 1], [-2, -4, -4, -3, 9, -2, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, -2, 2, 4, -1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [8, -3, 1, 5, 2, 2, -4, -1], [-2, 3, 1, 0, 3, -3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-4, 1, 0, -5, 1, -2, 5, 3], [0, -1, -2, -1, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 3, 1, -2, -3, -3, 0], [-4, 0, 0, -2, -5, -3, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, -1, 0, 0, 1, 1]]}