# Stored data for newform 2695.2.a.x, downloaded from the LMFDB on 23 April 2024.
{"label": "2695.2.a.x", "space_label": "2695.2.a", "level": 2695, "weight": 2, "hecke_orbit": 24, "hecke_orbit_code": 103582791463078535, "dim": 10, "is_polredabs": true, "trace_hash": 978098733872497791, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, -22, 31, 116, -86, -92, 56, 24, -13, -2, 1]], [3, [-14, 4, 182, -68, -308, 12, 130, 0, -20, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+\\beta _{8}q^{3}+(1+\\beta _{2})q^{4}+q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10780, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 21.519683344735064, "hecke_ring_index": 1, "level_radical": 385, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [2695, 1, [2157, 1816, 981], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [5, 7, 11], "conrey_indexes": [1], "field_disc": 5044087879630848, "field_disc_factorization": [[2, 19], [3, 2], [1068981569, 1]], "field_poly": [1, -22, 31, 116, -86, -92, 56, 24, -13, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.128", "prec": 17}, {"__RealLiteral__": 0, "data": "8.555", "prec": 17}, {"__RealLiteral__": 0, "data": "3.364", "prec": 17}, {"__RealLiteral__": 0, "data": "199.858", "prec": 24}, {"__RealLiteral__": 0, "data": "135.547", "prec": 24}, {"__RealLiteral__": 0, "data": "6892.905", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, -1], [7, 1], [11, 1]], "trace_display": [2, 0, 10, 0], "traces": [0, 10, 2, 0, 10, 10, 4, 0, 6, 10, 2, -10, 4, 8, 0, 0, 6, 28, -10, 8, 10, 0, -2, -8, 32, 10, 12, 0, 0, -8, 4, -4, 14, 0, 20, 0, -22, 28, 24, -24, 6, 44, 0, 20, -10, 10, -12, 12, 16, 0, 2, -4, 36, 0, -8, -10, 0, 12, -8, 16, 4, 16, 36, 0, -34, 8, -4, 20, 8, 4, 0, -4, 10, 20, -16, 0, 4, 0, 52, -20, 6, 10, -32, 16, 0, 28, -20, 20, -6, 44, -10, 0, -24, 16, 24, 8, 0, -4, 0, -10, 10, 60, -12, -16, 36, 0, -28, -8, 32, -16, -2, -8, 0, 12, -44, -8, -24, -8, 40, 0, 32, 10, -24, -56, -4, 10, 0, -24, 2, 64, 12, 28, -4, 0, 0, 0, 40, -8, 0, 0, 0, -76, 24, -8, 10, -8, -8, 0, 20, -8, 4, -28, 40, 88, 0, -4, -20, 0, -8, 16, 14, 0, -30, 4, -4, 0, -84, 4, 0, 18, 20, 84, 8, 80, -28, 0, -6, -4, 12, 4, -22, -24, 0, 36, -44, 28, 32, -28, 4, 0, 24, -12, 44, 76, -76, -24, 0, 24, 10, 0, 6, -16, 60, 0, 64, 44, 56, -20, 48, -8, 0, -44, -44, 48, 0, 20, -36, 0, 48, 8, -10, 0, -24, -44, 0, 10, -40, 24, 84, 16, -12, 0, -28, 56, -56, 12, 72, 16, 0, -16, 16, 0, 2, -60, -20, 0, -40, -20, 4, -32, 2, 68, 0, 8, 56, -4, -42, 96, 28, 0, 36, -124, -40, -28, -32, 0, 0, -20, 40, 76, -8, 36, 48, 0, 24, -10, -160, 88, -76, -96, 0, -40, 16, 28, 40, 12, -12, 0, 50, 18, -8, 16, 48, 36, 0, 16, 4, 0, 64, 40, 4, 0, -100, 132, -16, 16, -92, -40, 0, -24, 36, -12, -20, 24, 56, 0, -180, 0, -72, 8, -34, 56, 0, 100, -46, 8, -44, 16, -68, 0, -4, -12, -12, 88, -36, 20, 0, 28, 58, -44, 8, 4, -88, 0, 52, 4, -48, 0, -168, 44, 0, -88, -14, -44, 88, -4, 144, 0, 116, -32, 10, -42, 8, 0, 0, 20, -124, -4, -88, 160, -16, 0, -68, 88, -20, 0, -80, 40, 0, -24, 4, -92, 8, 64, -140, 0, -76, 44, -100, 16, 52, -84, 0, 64, -72, -20, 22, -76, -8, 0, 6, -80, 8, 4, 108, 10, 0, -28, 96, 52, -32, -48, -48, 0, -76, 16, 0, -68, -24, -16, 0, -76, -108, -16, -8, 28, -20, 0, 92, 24, -20, 56, -164, -24, 0, 20, -72, -48, -12, 20, -6, 0, 56, -20, -60, 44, 84, 64, 0, -8, -10, -44, -132, 20, -44, 0, 88, -36, -36, -56, -24, 16, 0, 28, -28, 16, -20, 112, -64, 0, 24, -48, 32, -20, -200, 8, 0, -12, 64, 68, 0, 68, -44, 0, 10, -4, -96, -12, -8, 72, 0, -56, -40, -104, 112, -10, -8, 0, 200, 12, 10, -92, -224, 36, 0, 60, 12, -116, -96, 36, -12, 0, -102, 24, 20, -16, 108, -12, 0, -72, 36, 64, -16, 60, -44, 0, -100, -72, -16, -26, -28, -124, 0, 0, 172, -8, -52, 92, -68, 0, 32, -52, -160, -88, 64, -16, 0, -48, 104, -48, -2, -120, -80, 0, 112, -8, -16, 44, 16, -148, 0, 4, -60, 48, 36, 12, 56, 0, 120, 28, -44, -28, -36, -92, 0, -8, -18, 56, 86, -132, -24, 0, -100, 0, -164, -8, -96, -64, 0, -92, 40, 20, -52, 148, 8, 0, 4, -136, -96, 100, 32, 16, 0, -8, -44, 10, 32, 48, -8, 0, -24, -4, -168, 92, 48, -56, 0, -16, 24, -124, -4, 116, -20, 0, 56, 10, 4, -12, -256, 104, 0, -100, -104, -36, -36, -24, -52, 0, 8, 0, 2, -80, -56, -108, 0, 64, -24, -12, 26, -16, 12, 0, -12, 8, 24, 28, -136, -84, 0, -88, -4, -12, -56, -56, -72, 0, -168, 140, -40, -76, 0, -16, 0, 12, 140, 0, 110, 36, -172, 0, 40, 4, -36, -60, -72, -8, 0, 160, 36, -12, 0, -44, 48, 0, 64, 0, -156, 156, 112, -100, 0, 16, 8, 88, 34, -76, -208, 0, 128, -64, 24, 20, 196, 132, 0, -8, -72, -96, 200, -64, 10, 0, -150, -4, -84, -8, 4, -48, 0, -62, -8, 24, -176, -52, -60, 0, -32, -20, -156, -108, 20, -84, 0, 40, -4, -8, 84, 132, -8, 0, 4, -40, -84, -116, 60, -28, 0, 56, 108, -4, 40, 104, -88, 0, -44, 88, -64, 40, -116, 88, 0, 96, 56, 20, 128, -4, 0, 0, 248, 120, -20, 4, -124, 80, 0, 0, 8, 40, 140, -44, -8, 0, -10, 72, -124, 16, -60, 188, 0, -36, 14, 136, -80, -20, -68, 0, -108, -76, 84, -88, -30, -92, 0, 152, 16, 4, -84, -16, 136, 0, -4, 24, 148, -60, 60, 0, 0, 156, 164, -100, -84, 96, -192, 0, -28, 4, -4, 88, -16, 180, 0, -26, -176, -20, -148, 18, 76, 0, 116, -120, 20, 48, 64, 12, 0, 84, 64, 212, -52, -136, 8, 0, -232, 20, 0, 80, 96, -120, 0, 20, -28, 44, -16, 64, -20, 0, -160, 60, -16, -4, -6, 120, 0, -48, 148, -4, -60, 24, 52, 0, 12, -10, -48, -16, -100, 4, 0, -68, 48, 148, -22, 128, 32, 0, -128, -24, 28, 124, 312, -16, 0, 80, -124, -16, 8, 36, 24, 0, -76, 80, -44, -68, -120, 16, 0, 28, 4, 8, -84, 148, 32, 0, -84, 116, 184, -28, -196, 240, 0, 8, 4, 20, -128, 32, 148, 0, 20, -36, -72, -104, 24, -96, 0, -4, -24, -12, 76, -20, -4, 0, 44, -34, 84, 80, -96, 76, 0, -20, 6, 20, -76, 4, 40, 0, 176, -24, -52, -20, 76, -44, 0, -40, -16, 0, 140, 24, 12, 0, 28, -100, 10, -100, -60, -28, 0, 0, -56, -112, 204, 44, 6, 0, -180, -64, 20, -16, 100, -12, 0, 20, 60, 48, 24, -96, -52, 0, -44, -48, 364, -112, 64, 36, 0, -16, -114, 44, -64, -120, 244, 0, 56, 76, 232, 44, -24, -20, 0, 20, 44, -24, 48, -176, 144, 0, 20, -8, -244, 212, -76, 152, 0, -64, -112, 52, 68, -44, 0, 0, -58, -60, -44, 12, 256, 36, 0, 48, -132, 4, 156, 0, 0, 0, 32, -24, -200, 20, 112, 108, 0, 80, -36, 24, -268, 104, 228, 0, -140, 36, -20, 10, 48, 76, 0, 92, -24, 8, -96, 48, -156, 0, -10, -36, 36, -68, 124, 0, 0, 64, 52, 80, -24, -60, 4, 0, -12, -44, 244, 84, -144, -12, 0, -116, 12, -92, 80, 10, 56, 0, 76, -120, -40, 92, 24, 16, 0, 24, -20, -52, -104, 80, 84, 0, 156, -128, -36, 16, 36, -100, 0, 28, -12, 0, -166, 28, 112, 0, -118, 188, 116, 16, -28, 36, 0, 128, 48, 56, 28, -244, -132, 0, -56, 0, 148, 192, 52, 12, 0, 8, 80, -4, 72, 24, 60, 0, 48, 16, -68, 216, -32, -148, 0, -44, 80, 144, 124, -16, 84, 0, 16, 16, 16, -24, -24, -288, 0, 0, -12, 4, 24, 176, 2, 0, 40, 88, 172, -60, 100, 36, 0, -136, -20, 8, -196, 8, -28, 0, 188, -20, -132, 80, -40, 124, 0, -72, -164, -20, 200, 20, 236, 0, 4, -60, 100, -12, -184, -32, 0, -96, -64, 244, 2, 88, -12, 0, 44, 68, -100, -80, -56, -32, 0, -144, -68, 184, -168, 8, -100, 0, 96, 20, 56, -120, -216, 4, 0, -4, 24, -20, -128, 4, -42, 0, -300, -92, 312, 96, -44, 8, 0, -172, 28, -56, 8, -72, -92, 0, 74, 88, -40, -104, 36, 140, 0, -4, 4, -124, -204, -72, -72, 0, -40, 76, 68, -152, 104, -28, 0, 16, -148, 64, -32, -108, 48, 0, 132, 0, 236, 28, 128, 256, 0, -10, -124, 32, 124, -20, 24, 0, 16, -120, 40, -24, 24, -100, 0, 76, -72, 80, 164, 88, -8, 0, -22, 56, 32, 36, -12, -140, 0, 60, 48, 60, 16, -72, 4, 0, 36, 32, 124, -146, 24, -116, 0, -32, 180, -10, 52, 144, 240, 0, -160, -56, -108, 152, -156, 88, 0, -52, 40, -224, -76, -136, 112, 0, -144, -96, 472, 24, 80, -148, 0, 112, 208, 84, 64, -40, -28, 0, -2, -4, 16, -52, 44, 64, 0, 28, 64, -56, 16, -64, 40, 0, 20, -188, 148, 12, -124, 164, 0, -212, -12, -140, 120, 96, 388, 0, 68, 104, -92, -144, 50, -28, 0, -264, -154, 18, 320, 40, -96, 0, -8, 52, 4, 100, -140, 16, 0, 100, 146, -48, 48, 188, -60, 0, -156, 36, 192, 236, 168, -68, 0, -24, 32, 140, 0, 16, -68, 0, 72, 216, 4, -76, 52, 12, 0, 0, -44, -56, 328, -84, 64, 0, 172, 104, 216, 40, -40, 8, 0, 120, 4, 52, -156, -144, -60, 0, -8, 8, 88, 24, -100, -152, 0, 204, 116, 132, -128, 260, 0, 0, -16, -94, 156, -164, 188, 16, 0, 56, -156, 0, -92, -76, 148, 0, 96, -40, 28, 92, 96, 92, 0, -24, -44, 36, -40, -24, 128, 0, 252, -44, 36, 76, -128, 156, 0, -12, 104, 4, -20, 8, -20, 0, -24, -152, -8, 24, 104, -288, 0, -40, 56, 16, -148, 8, 12, 0, 28, -180, 248, 16, -180, 124, 0, -120, -10, 0, 364, -200, -48, 0, -72, -84, 0, -124, 264, 8, 0, 176, -28, -328, -34, 36, -180, 0, 48, 56, 8, 84, -72, 184, 0, 200, 112, -64, 60, 100, 40, 0, -72, 52, -46, -4, 436, -48, 0, 8, 140, 12, -20, -300, -44, 0, 8, 8, -28, 16, 112, 176, 0, 8, -68, 188, -92, -192, -156, 0, 32, 96, 124, -80, -4, -132, 0, -36, 136, -12, -92, 8, -64, 0, -12, 28, -20, -224, -32, 88, 0, 16, -12, -220, -36, -80, -40, 0, 172, 20, -100, 36, 328, 100, 0, 118, 102, -88, -104, 28, -28, 0, -288, -184, 58, 76, 116, 80, 0, -44, 64, 136, -72, -184, 8, 0, -12, -124, 132, 4, -72, -24, 0, -40, -88, 20, -76, 196, -4, 0, 20, 152, -140, 4, 52, 232, 0, 12, -120, 4, -4, 0, 192, 0, -48, 212, -240, -92, -220, 0, 0, 252, 8, -36, -168, 72, 120, 0, 24, 44, 40, 188, 32, -16, 0, 128, -12, 68, 80, -88, 12, 0, -40, -96, -14, -48, -84, 24, 0, -44, -48, -40, 264, 244, 88, 0, -264, -40, 148, -4, -112, 80, 0, -44, 144, -4, 30, -100, -16, 0, 164, 132, 156, -132, 116, 24, 0, -4, 72, -32, -148, -304, -108, 0, 10, -76, 200, -360, 4, -42, 0, 124, -112, 4, 8, -248, 44, 0, -240, 0, 44, 132, 20, -80, 0, -148, 132, 88, 128, 20, 84, 0, -364, 68, -124, 184, 156, 32, 0, -4, 124, -4, 124, -132, -88, 0, -104, -8, -176, 160, 156, 8, 0, 42, -16, 88, 112, 0, 64, 0, 0, -60, 136, -18, -68, 124, 0, -280, -132, 88, -332, 52, 128, 0, -20, 136, 56, 44, 168, 0, 0, 216, -56, -204, -80, -84, 148, 0, 36, 40, -4, 68, -12, 80, 0, -80, -8, -424, -84, -24, -172, 0, -76, -72, 4, -32, 20, -80, 0, -92, 140, -120, -512, 36, 8, 0, 144, -188, 28, 64, 184, 92, 0, 60, -140, -108, -194, -116, 200, 0, 148, 192, -112, -92, -76, -56, 0, 136, -120, 44, 6, -44, -172, 0, -100, -80, 160, 28, 12, 16, 0, 4, 132, 112, 52, -112, -88, 0, -44, -84, 20, 8, -12, -188, 0, 36, 0, -84, 60, 64, 56, 0, -148, -4, -72, 312, 124, -4, 0, -20, -8, 4, -72, 52, 22, 0, 156, -96, 112, -76, 492, -36, 0, -52, -8, 24, -20, -36, -196, 0, 352, -4, -76, -84, 6, -88, 0, -44, 28, -80, 224, -20, -36, 0, 8, -92, -4, -36, -84, 4, 0, -40, -44, -112, 108, 20, 28, 0, 44, 10, -48, 168, -156, -36, 0, 32, 136, 236, 176, -28, -76, 0, 52, -104, 96, -180, -8, -188, 0, 52, -32, -112, -246, -244, -32, 0, 52, -108, 12, -48, 200, 28, 0, -20, -48, -24, 236, -12, 72, 0, -88, 100, -4, -208, -76, -72, 0, -468, -28, 16, -308, -88, -188, 0, 0, 56, 68, -128, 308, -68, 0, -28, -236, 188, -24, -172, -100, 0, 128, -16, 68, 108, 32, 4, 0, 12, -184, -320, 88, -76, 332, 0, 164, 160, -108, 148, -44, 192, 0, -16, 2, 92, 248, -28, -8, 0, 124, -76, -64, 28, -112, -212, 0, -164, -20, 8, 52, 92, 76, 0, 336, 120, -120, -240, 92, 92, 0, -112, 124, 24, 196, -60, -36, 0, -20, 216, -212, 108, 120, 56, 0, 332, -412, 116, -164, 164, 28, 0, 8, -24, -276, -24, -88, 148, 0, 228, -64, -144, 112, 20, -244, 0, -10, -228, -72, -256, 232, -168, 0, -48, -60, -124, 148, 0, -12, 0, -132, 144, -56, 20, -320, -32, 0, 140, -6, 20, -236, -128, 104, 0, 256, -8, -52, -58, 56, 16, 0, -332, 16, -20, 192, -44, -52, 0, -60, -116, -60, -176, 40, 44, 0, 68, 32, -256, 84, -28, -144, 0, 264, 64, -280, 112, 232, -212, 0, -268, 312, -72, -64, -8, -120, 0, -280, 76, -10, -64, 80, 72, 0, -44, 180, 196, 20, 160, -132, 0, -152, 88, -72, 20, -56, -200, 0, -224, -44, -404, -64, -64, -52, 0, 268, 20, 168, -136, 88, -216, 0, 56, -84, -36, 176, -44, -48, 0, -36, 132, 252, -152, 80, -56, 0, -144, 4, 8, -24, 216, 44, 0, 226, 16, -72, -248, 60, 16, 0, 16, 82, 72, 0, 28, 184, 0, -72, 72, -28, 44, -140, -20, 0, 16, 116, 76, 112, -72, -20, 0, 44, 192, 100, 112, 116, 124, 0, -208, -64, -184, 16, -48, 44, 0, 56, 180, -52, -104, 24, 4, 0, -16, 0, -48, 232, 36, 120, 0, 32, -88, 8, 92, 48, -20, 0, 220, -112, -180, -200, -52, -136, 0, 68, 8, 36, 204, 120, -124, 0, 72, -360, -184, -156, -12, 28, 0, 28, -124, 64, -36, -236, 48, 0, 68, 240, -324, -48, -220, 0, 0, -112, -184, 112, 68, 136, -68, 0, -8, -44, -108, -332, -56, -36, 0, -112, -240, -28, -204, 10, -192, 0, -48, 352, -4, -132, 104, -128, 0, -96, 0, -292, -176, 48, -12, 0, 24, 180, 164, -8, 16, 24, 0, -84, 72, -104, 52, 48, 44, 0, 232, 336, 44, 580, -56, -116, 0, -380, 184, -40, -240, -232, -188, 0, -104, -56, -128, -80, -52, 112, 0, 72, 76, -224, -10, 240, -44, 0, 100, -8, -296, 36, -268, -108, 0, 40, -124, 124, -124, 200, -380, 0, -120, -348, 12, 212, -24, 132, 0, 10, 32, -124, 256, 68, -92, 0, 144, -84, -136, -224, -388, 96, 0, 168, 36, 4, 40, -12, -16, 0, 208, -184, -28, -36, 60, -172, 0, -312, -224, 12, -136, -240, -180, 0, -116, 184, 124, 276, -200, -96, 0, 180, -140, -320, 36, 116, -256, 0, -16, -12, -96, 28, 4, -200, 0, 168, 8, 80, 180, -102, 136, 0, -56, 8, 24, -320, -228, 284, 0, 20, 108, -256, -56, 56, -16, 0, -320, -220, -60, 108, -240, -360, 0, 176, -12, -88, 380, -380, -216, 0, 56, -98, -236, 228, -72, -72, 0, -332, -40, 36, 322, 452, -84, 0, 64, 120, -16, -64, 56, -16, 0, 268, 4, -92, 60, -72, 152, 0, 16, -44, 120, -136, -200, -72, 0, 72, 32, -40, 16, -100, -164, 0, -316, 252, -72, -8, -32, -256, 0, -16, 24, -260, 60, -144, -26, 0, 184, 124, 108, -28, 0, 128, 0, 4, -124, 228, 4, -308, 0, 0, 144, -2, -340, 12, 0, 200, 0, -48, 228, 172, 124, 4, 60, 0, -8, -36, -224, -216, -228, -52, 0, 28, -152, 20, 92, -376, -76, 0, 48, -68, -28, -36, 216, -92, 0, 260, -188, -112, 56, 32, 24, 0, -60, -210, -52, 40, -348, -24, 0, -160, 232, -124, -12, 76, -88, 0, 20, 100, 8, 64, -340, -192, 0, -120, -16, -156, 316, -4, 68, 0, -168, -440, 72, 88, -48, 12, 0, -170, 32, 104, 52, -24, -328, 0, -48, 52, 56, 56, -48, -2, 0, 84, 60, 40, -120, 40, 80, 0, -92, -80, -68, -288, 112, -232, 0, -100, 44, -120, -72, 112, -88, 0, 144, 164, -8, 200, 136, -44, 0, -16, -180, 284, -8, 4, 44, 0, -32, -308, -236, 16, 132, 384, 0, -56, -148, 24, -24, 164, 44, 0, 240, -24, -372, 240, 4, 328, 0, -68, 190, -60, 236, -76, -48, 0, 48, 42, 4, -328, -64, 36, 0, -148, 0, -304, 12, 76, -96, 0, 64, 56, 152, 296, -228, -248, 0, 60, 188, -28, -80, 120, 24, 0, -360, 36, 28, -260, 144, 204, 0, -44, 48, -52, 12, -136, -28, 0, -116, -176, -128, -36, -60, -168, 0, 4, -92, 184, -236, 364, -84, 0, 124, 356, 228, -52, -8, -52, 0, -104, 152, -18, -168, 40, -192, 0, 56, 288, -236, 86, 136, 86, 0, -68, 28, -20, -132, -88, 100, 0, 284, -24, -208, -16, -28, 32, 0, 368, 424, -212, 152, -100, -44, 0, 8, 48, 0, -242, 132, -248, 0, -164, -324, 128, -4, -100, -8, 0, 24, -196, 4, -96, 76, 276, 0, 52, -64, -60, 20, 60, 248, 0, 140, -8, 32, 108, -92, -56, 0, -40, 64, 40, 0, 196, 84, 0, 20, 160, -24, 100, -76, -52, 0, 112, -68, 156, 148, 212, -100, 0, 80, 8, -40, 8, 84, 44, 0, 12, 56, 224, 20, 4, -36, 0, -8, 76, -136, 464, -160, 92, 0, -96, 384, -48, 120, 52, 100, 0, 100, -132, 92, 32], "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": "2695.2.a.w", "char_is_minimal": true, "conrey_index": 1, "id": null, "nf_label": 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, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 0, 1, 1], [0, 0, -1, 0, 0, 1, -1, 0, 0, 1], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 0, 1], [0, 1, 0, 0, 0, 0, 0, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 1, 0, 1, 0, 1, 1], [2, 1, -1, 1, 0, 1, 0, 0, 0, 1], [0, -1, 1, -2, 1, -1, 1, 1, 0, -1], [0, 1, -1, 0, -1, 1, -1, 0, 0, 1], [1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, -1, -1, 0, -1], [3, 0, 1, 1, 0, 0, -1, 1, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, -1, -1, -2, 0, 1, -1, 2, 2], [1, -1, 1, 0, -1, 0, -1, 0, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 1, -1, 1, -1], [0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 1, 1, 1, -1, 0, 0, 0, -2], [1, -1, 1, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -1, 0], [2, 2, 1, 1, 1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -1, 2, 2, 1, -1, -2, 1, 0, -2], [2, 0, -1, 0, -1, 1, -1, -1, 0, 1], [3, 0, 2, -1, 1, -1, 1, 0, -1, -1], [-1, 1, 1, 0, 1, -1, 2, 1, 0, -2], [0, 1, 0, 1, 0, 0, 0, 0, 1, 1], [4, -1, -1, 0, -1, 1, -2, 0, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -2, 1, 1, 1, -1, 0, 2, 1, -1], [-1, 0, -1, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 1, -1, 0, 0, 1], [1, -2, -1, -4, -2, -1, 1, 0, 0, -1], [2, 0, 1, -1, 0, -1, -1, 1, -3, -2], [2, 1, 3, -1, 2, -1, 0, 0, 0, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 1, 0, -1, 0, -1, -1, 4, -1], [2, 3, 1, 3, 0, 1, 0, -2, 0, 1], [0, 0, -2, 0, 0, 1, 3, -1, 2, 2], [0, 1, 0, -1, 0, -1, 0, 0, -2, -2], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 1, 2, -1, 1, -2, 0, 2, 0], [-1, 0, -2, 0, -2, 1, 0, -2, 0, 1], [3, 0, 2, -2, 1, -2, 2, 1, 0, -1], [0, 1, 0, 0, 0, 0, 0, 1, 0, 1], [2, 0, -2, -1, -2, 0, 1, -2, 2, 1], [5, -2, 1, -2, -1, 0, 0, 1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 1, -1, 2, -1, 0, -1, 1, 0, -1], [0, 1, 0, 0, 0, 0, 0, -1, 0, 1], [0, 0, -1, 0, -1, 0, 0, 0, 0, 0], [2, 0, 0, -2, 0, 1, 1, -1, 0, 0], [0, 3, 2, 4, 0, 0, 1, -1, 2, 1], [0, 1, -4, -2, 0, 1, 2, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 2, -1, 0, -1, 0, 1, 1], [2, -3, 1, -2, -1, 0, -2, 2, 0, -1], [4, -2, 2, -4, 0, 0, 0, 0, -1, -4], [-1, 3, -1, -2, -1, -1, 2, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 3, 0, 2, 0, -1, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -2, 1, 5, 1, 2, -2, 0, -1, 0], [-1, 0, -3, -2, -2, -1, -1, 0, 0, -1], [0, 1, 0, 0, 1, 0, 1, 0, 1, 1], [1, 0, -3, 0, -2, 0, 2, 0, 0, 4], [-1, 2, -1, -4, -1, -2, 1, 1, -2, -3], [1, -3, 1, -2, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, -1, 1, 0, 1, 0, 0, 0, 1], [-3, 0, 3, 0, 4, 0, -2, 3, -1, -2], [1, 1, -4, -1, 1, 1, 2, -1, -2, 2], [0, -1, 0, -1, 0, 0, 0, 0, -1, -1], [2, 1, 1, 4, 1, 1, -1, 0, 0, 3], [0, -1, 1, -2, 1, -1, 1, 1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, -3, 2, -1, 1, -3, -1, -4, 1], [0, 2, -2, -3, 2, 0, 2, 0, -1, 3], [4, -1, 0, -3, -2, -1, -3, 2, -2, -3], [0, 1, -1, 0, -1, 1, -1, 0, 0, 1], [0, 2, -1, -3, -1, 0, 0, 0, 2, 0], [1, -3, -1, 2, -1, -2, -1, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, -1, 1, 0, 0, -1], [1, 0, 1, 0, 0, 0, 0, 0, 0, 0]]}