# Stored data for newform 8281.2.a.cd, downloaded from the LMFDB on 15 October 2024. {"Nk2": 33124, "analytic_conductor": 66.12411791382229, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[7, 1], [13, 1]], "atkin_lehner_string": "++", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [8281, 1, [1522, 3382], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 4507648, "field_disc_factorization": [[2, 11], [31, 1], [71, 1]], "field_poly": [-1, -6, 7, 8, -5, -2, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [-2, -4, 14, 0, -8, 0, 1]], [3, [2, 8, -12, -12, 20, -8, 1]], [5, [31, 26, -31, -24, 5, 6, 1]], [11, [-562, 692, 186, -156, -38, 4, 1]], [17, [-5294, 6792, -2792, 324, 56, -16, 1]]], "hecke_orbit": 56, "hecke_orbit_code": 247697979538939993, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "8281.2.a.cd", "level": 8281, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [7, 13], "level_radical": 91, "minimal_twist": "637.2.a.m", "nf_label": "6.6.4507648.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{2}q^{2}+(1+\\beta _{1})q^{3}+(1-\\beta _{1}-\\beta _{3}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "8281.2.a", "trace_display": [0, 8, -6, 0], "trace_hash": 2211255353374736299, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.577", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "81.785", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1805.959", "prec": 27}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.011", "prec": 17}, "traces": [0, 6, 0, 8, 4, -6, -4, 0, 0, 6, 4, -4, -4, 0, 0, -12, 0, 16, 4, -2, -16, 0, -12, -6, -12, -4, 0, 20, 0, -6, 0, -6, 20, -4, 0, 0, -24, 0, 8, 0, 4, 8, 0, 2, 4, -14, -8, -30, -8, 0, -8, -4, 0, -14, 48, -8, 0, -4, 8, -24, -12, 0, 28, 0, -20, 0, -4, -16, 28, -20, 0, -8, -28, 6, -12, 12, 16, 0, 0, -22, 28, 46, -40, -50, 0, 8, 16, -16, -44, -26, -40, 0, 20, -16, -32, -6, 20, 14, 0, -12, -8, -4, -52, 16, 0, 0, -56, -8, -32, -8, 20, -20, 0, -30, 0, 2, -44, 0, -4, 0, 44, 26, 20, 60, 44, 6, 0, -28, -16, -40, 0, 32, 64, 0, -4, -24, 52, -4, -24, -20, 0, -28, -28, 0, -4, 38, -16, 0, -4, 0, 28, -28, -4, -60, 0, -46, 0, 4, -52, -20, -40, 0, 72, 20, -4, -48, 4, -42, 0, 0, 36, 2, 68, 0, 20, 0, -28, -20, -16, -38, 24, -56, 0, -52, -20, 4, 36, -56, -48, 0, -16, -36, -8, 20, -48, 0, 0, -8, 20, 20, -28, -4, -8, 0, -20, -24, 44, -50, 0, 36, 0, 10, -20, -24, 96, -34, -28, 0, -32, 28, 4, 0, -12, 10, 0, 40, 20, -56, 16, 40, 24, 0, -16, 18, 0, 14, -68, -32, 0, -28, 60, 6, -64, 48, 24, 0, -20, 0, 36, -100, -24, 84, 0, 88, 32, 68, -24, -8, -20, 0, 0, -22, -56, 14, -32, 18, 0, -32, -16, -4, -120, 44, 40, 0, -8, 20, 68, -14, -52, -2, 0, -48, 32, 56, -88, -24, 0, 0, -20, 42, -12, -8, -8, -2, 0, 36, 28, -52, -88, 0, 16, 0, 48, -4, 8, 56, -96, -34, 0, -20, -52, 48, 0, 32, -20, 0, 16, -32, -40, -12, 4, -36, 0, -24, -44, 0, 28, -8, -8, 0, 24, -44, -32, -72, -16, 20, 0, 6, 0, -20, -84, -24, -12, 0, 80, -8, -148, -16, -20, 38, 0, 0, 52, -36, 52, 64, -76, 0, 32, -84, 116, -76, -24, 60, 0, -6, -60, -84, -4, 116, 44, 0, -4, -60, -52, -8, 4, 0, 0, -28, 4, -28, 16, -68, 64, 0, 40, -110, 4, 0, 0, -20, 0, 120, -12, -54, 112, 50, -52, 0, -52, -4, 8, 0, -36, -82, 0, -60, 52, 18, 36, 40, 64, 0, -40, 86, 0, -40, -80, 80, 0, 28, 28, -26, -28, -76, 4, 0, -80, 0, 12, -76, 32, -4, 0, 52, 20, 46, -8, -48, 40, 0, 0, -42, 0, 82, 76, 44, 0, 20, 92, -24, -80, -32, 56, 0, -40, 32, 100, -64, -12, 32, 0, -72, 24, -84, -88, 68, 0, 0, 32, -24, -8, -60, 8, 0, 0, -74, 20, 50, -92, 0, -60, 0, 52, -46, 8, -12, 12, 124, 0, -68, -16, 0, 0, -100, -36, 0, 0, 12, 116, -28, 12, 56, 0, 4, -112, 0, -24, -22, 108, 0, -104, 12, 104, -52, 12, -60, 0, 8, 0, 16, -20, -40, -96, 0, 44, -52, -60, -28, 104, 8, 0, 0, 4, 84, 56, -16, 120, 0, 44, -8, 0, -36, 28, -8, 0, -14, 36, -136, 52, -30, -8, 0, -68, 48, 60, 60, 56, 0, 0, -72, 104, 84, 8, 110, 92, 0, 0, 38, -4, -14, 0, -132, 0, -12, 60, 76, 124, 32, 32, 0, -20, 48, -108, 0, 40, -86, 0, 30, -20, -40, -28, 46, 32, 0, -56, 56, 0, -58, -44, -20, 0, 32, 52, 2, 28, 16, 0, 0, 12, 0, -92, -8, -84, -16, 0, -12, 16, 84, 48, -108, 48, 0, 0, -66, 80, 92, 140, 64, 0, -20, -48, -92, 16, 72, 84, 0, 108, -76, 0, 26, 100, -32, 0, -4, 52, 4, -76, -60, 0, 0, -112, -12, -36, -32, -32, 50, 0, -18, -8, 30, -112, 0, -12, 0, -4, -18, -16, 72, -20, 80, 0, -10, -164, 40, 0, -68, 20, 0, -100, -72, 0, -24, 12, -92, 0, -4, -24, 0, 76, 14, -28, 0, 76, -24, 60, -12, 24, 80, 0, -90, 0, -64, 8, 64, 172, 0, -36, 28, 64, -82, -60, -26, 0, 0, 60, -64, -8, 0, 64, 0, -36, -120, 44, -20, -144, 4, 0, 66, 16, 80, 44, -38, 72, 0, 36, -108, 72, -4, -12, 0, 0, 8, -100, 28, 56, -146, -56, 0, -60, -18, -80, 120, 0, -4, 0, -42, -36, 164, 24, 62, 12, 0, 0, 216, 104, 0, 24, -2, 0, -28, 112, -4, -36, 60, -92, 0, 12, -20, 0, -104, 36, -4, 0, -124, 40, -74, 28, -40, 92, 0, 16, 0, -56, 64, 132, 68, 0, -72, 16, -34, 68, 188, -64, 0, 0, -80, -20, -98, -160, -56, 0, 128, 136, 8, 52, -6, -32, 0, -36, 56, 52, 48, 16, 40, 0, -28, 108, -40, -8, 40, 0, 0, -68, 66, 4, 72, 88, -36, 0, -72, 32, -36, 40, 0, 84, 0, -60, 60, -124, -60, -36, -94, 0, -70, -28, -8, 0, 28, -24, 0, 112, -104, -24, 60, -12, 28, 0, 96, -32, 0, 60, -114, -84, 0, 88, 40, -56, -100, -24, -72, 0, 64, 0, 68, -40, -32, 80, 0, 12, -64, 36, -86, -60, -58, 0, 0, 28, -74, 28, -4, -20, 0, 12, -12, 28, -62, 48, -8, 0, 14, -36, 96, -116, 104, 20, 0, -4, -60, -4, 40, 160, 0, 0, -4, -64, -64, -28, 146, -84, 0, 4, 28, -28, 28, 0, 112, 0, 28, 92, -54, -40, -52, -20, 0, -4, 56, 148, 0, 4, 20, 0, 26, 0, 40, -4, -92, 84, 0, -72, 80, 0, 12, 236, -36, 0, 92, 44, -80, 132, 16, -52, 0, -144, 0, 104, 76, 112, 76, 0, -32, -124, -62, 0, 56, 0, 0, 0, -26, 0, -68, -16, -92, 0, -188, 76, -32, 200, -108, 44, 0, -24, -68, -4, 100, 12, -42, 0, 84, 12, 92, 64, -16, 0, 0, 156, 50, 64, -80, -88, 20, 0, 124, 24, 36, 44, 0, -132, 0, -36, -50, -12, -48, 296, -6, 0, 100, -180, -128, 0, 24, 20, 0, 72, -44, -80, 36, -168, 44, 0, 32, -16, 0, 72, 102, 112, 0, -124, -188, -12, -24, 52, -116, 0, 156, 0, 132, 32, 164, -172, 0, 16, 48, 68, -4, 32, -28, 0, 0, 156, -94, 12, -100, -32, 0, 0, 52, -168, 38, 56, 4, 0, -28, 124, -104, -124, -106, -216, 0, 20, -124, 0, -20, -40, 0, 0, 40, -88, 64, 56, -24, 60, 0, 76, -62, -52, -26, 0, -68, 0, -68, 32, -66, -64, -66, -52, 0, 128, 120, -80, 0, -8, 28, 0, 0, -12, 0, 44, 4, 20, 0, -16, 32, 0, -36, 12, 12, 0, -72, 4, 18, 176, -8, -96, 0, 88, 0, -56, 60, -44, -92, 0, -72, 152, -66, 80, 60, -8, 0, 0, -90, 136, -24, 44, 80, 0, -12, 92, 208, 100, 42, -88, 0, 20, -104, -140, 54, -52, -88, 0, 192, 16, 12, -16, 12, 0, 0, 24, -80, -64, -56, 180, -160, 0, -58, -12, 76, 12, 0, 120, 0, -4, 38, 36, -240, -12, 34, 0, 46, -60, -92, 0, 100, 96, 0, -128, 164, -76, -12, 20, -76, 0, 124, -120, 0, 24, -102, -160, 0, 12, -96, -20, -44, -4, 156, 0, -50, 0, 88, 108, -112, 20, 0, -76, -72, 112, 84, -36, 6, 0, 0, 136, 112, -176, -60, -124, 0, -52, -148, -92, -72, 128, -44, 0, -108, -44, 80, -8, 54, 24, 0, 160, 14, -112, 68, -88, 0, 0, 144, 64, 32, 80, -100, 64, 0, -28, -66, 264, 140, 0, 8, 0, -12, -64, 30, -84, -136, 0, 0, 56, 84, -8, 0, 28, 94, 0, 32, 16, 94, 36, -170, -180, 0, 44, 12, 0, -50, 44, 44, 0, 36, 16, 214, 96, 120, 52, 0, 92, 0, 40, 44, -208, -128, 0, 32, 16, -52, -32, -148, 76, 0, 0, -108, 12, -52, -92, -92, 0, 36, 28, -136, 64, 62, -276, 0, -56, 100, -68, -58, -32, 72, 0, -68, 76, 52, 28, -108, 0, 0, -24, 10, -120, -16, -68, 2, 0, 86, 68, -168, 104, 0, 64, 0, -196, -166, 160, -260, -44, 72, 0, 64, -76, 160, 0, 52, 96, 0, 112, -148, -4, -80, 20, -104, 0, -60, 100, 0, 124, 84, 20, 0, 152, -116, 40, 40, 40, 140, 0, 94, 0, -268, 32, 28, 40, 0, -168, -68, -76, -14, -96, 80, 0, 0, -36, -58, -244, 4, -24, 0, 8, -116, 12, 104, -8, -136, 0, 50, 36, -44, -20, -128, 152, 0, 56, -14, -188, 340, -164, 0, 0, 0, -52, -52, 112, 44, -124, 0, 92, 52, -104, 88, 0, 116, 0, -60, -32, -46, -156, -160, 132, 0, 16, 132, -144, 0, -192, 36, 0, -86, 104, -14, 0, 26, -80, 0, 4, 232, 0, -68, -120, -180, 0, -60, -28, -4, 72, -48, -204, 0, -56, 0, -100, 52, -184, -136, 0, -108, 92, -4, 148, 120, -8, 0, 0, 38, -160, 38, 60, -6, 0, -104, 176, -4, 184, -132, 48, 0, -56, -64, -44, -148, -144, -54, 0, -76, 84, -124, -28, -52, 0, 0, 356, 52, 20, -44, -160, -70, 0, 40, 72, -62, 8, 0, 212, 0, 28, 38, -48, -64, 52, -280, 0, 122, -132, -52, 0, 40, -164, 0, 156, 128, 16, -20, 180, 64, 0, 72, -228, 0, 96, 4, -68, 0, -52, 44, -200, 68, 88, 128, 0, 98, 0, -48, 60, 24, -40, 0, -4, 32, 60, 110, -104, 152, 0, 0, 40, 64, -136, 36, -140, 0, -64, -128, 144, 76, -88, 88, 0, -116, 112, 84, 140, -130, 128, 0, -52, -156, -16, -12, 0, 0, 0, -36, -44, -24, 72, 50, 96, 0, 100, 104, 32, 202, 0, 176, 0, -50, 92, -154, -24, 156, -28, 0, 168, 8, -36, 0, 72, 174, 0, 58, -16, -100, 4, -110, 164, 0, 116, 116, 0, -6, 108, 104, 0, 212, 36, -72, 104, -80, -48, 0, 184, 0, 224, 148, 12, -64, 0, -8, 28, 104, 148, -132, -196, 0, 0, -24, 28, -272, -124, 34, 0, 112, 4, -12, 128, -72, 152, 0, 288, 124, -24, 12, 52, -44, 0, 76, 128, 184, 36, 4, 0, 0, -36, -62, 116, 116, 40, -4, 0, 20, -96, 68, 20, 0, -184, 0, -80, -18, -4, -60, -144, -128, 0, 152, -80, 56, 0, 56, -80, 0, -236, -108, 156, -24, 12, 160, 0, 16, 56, 0, 136, 136, 84, 0, 76, -56, -28, -8, -124, 56, 0, -108, 0, 152, 208, 64, -172, 0, -116, 72, -188, -52, 320, 60, 0, 0, 140, -16, -28, 20, 24, 0, 120, 112, 104, 58, 64, -44, 0, 56, -12, -60, 52, 8, 20, 0, 112, 0, 152, 96, 56, 0, 0, 220, 44, -28, -100, -24, -80, 0, -12, -30, -32, 60, 0, -128, 0, 68, -68, -72, -188, 52, 12, 0, 84, 200, 116, 0, 172, 2, 0, -190, 8, 16, 80, 140, 188, 0, 64, -74, 0, -18, -84, -164, 0, -256, 72, 84, -48, 88, -28, 0, 72, 0, -72, 112, -104, 168, 0, -144, -356, -212, 44, -28, -4, 0, 0, -278, -72, -190, 152, 140, 0, 268, 40, 208, 172, 150, 28, 0, 4, 68, 100, 28, 16, -152, 0, -52, -40, -28, 112, 112, 0, 0, -84, 44, 180, -172, -72, 90, 0, -218, 172, 102, 52, 0, -28, 0, -48, 148, -116, -8, -236, 16, 0, -184, 24, 52, 0, -140, 16, 0, -100, -52, -200, 52, 68, 136, 0, 92, -8, 0, -76, -176, 232, 0, 72, 36, 48, 28, -196, 112, 0, 136, 0, -28, 120, 76, 44, 0, -204, 108, 108, -98, -88, 82, 0, 0, 88, 180, 148, 176, 44, 0, 144, -84, -88, 142, -88, -60, 0, 166, -24, 204, -132, 262, -12, 0, -8, 2, 224, 132, -52, 0, 0, -104, -52, -148, 36, 70, -28, 0, 0, 116, -72, 84, 0, 40, 0, -120, 124, 28, -140, 176, -40, 0, 32, 4, -144, 0, 96, 8, 0, 38, 152, 82, 56, -92, 96, 0, 44, 86, 0, -300, -112, 180, 0, 200, -16, -32, 224, -76, -120, 0, 52, 0, -52, 8, 148, -52, 0, 60, 300, -40, 180, 36, -112, 0, 0, -36, 68, 54, 112, 64, 0, -160, 164, 172, 140, 164, -24, 0, -112, -84, -96, 98, -40, 30, 0, -108, 144, -152, -48, -76, 0, 0, 348, -76, 56, 8, -16, 42, 0, 182, -28, -22, 36, 0, -52, 0, -36, -200, 80, 20, -160, -12, 0, 18, 44, 28, 0, -244, 76, 0, 136, -216, 32, 36, 116, -148, 0, -160, -144, 0, -20, -2, 12, 0, -168, -88, 124, 96, 92, -48, 0, 152, 0, 84, 80, -140, 268, 0, -152, -164, 16, 64, -96, -438, 0, 0, 128, 52, -60, -52, -184, 0, -136, -76, -20, 168, -176, 116, 0, -50, 88, 152, -64, 24, 4, 0, -116, -92, 80, 84, 112, 0, 0, -68, 92, -176, 100, 2, -48, 0, 100, -176, 76, 188, 0, -200, 0, -80, 80, 118, -144, -84, 124, 0, 0, -8, 172, 0, -80, -36, 0, -104, -80, 196, -204, 90, -356, 0, -96, 160, 0, 162, 84, -64, 0, -288, 48, -82, 260, 16, 180, 0, 48, 0, 20, 40, 144, 0, 0, -196, 52, -72, 108, 120, 80, 0, 0, -154, -80, -44, -96, -190, 0, 116, -152, -136, -28, 8, -52, 0, 224, 116, -16, -50, 60, 88, 0, 124, 84, -136, -140, -88, 0, 0, -116, -34, 24, -36, -176, 420, 0, -64, 152, 6, -28, 0, -192, 0, 8, 32, 196, -184, 124, -44, 0, -24, 164, 44, 0, 184, -144, 0, -112, 28, -28, -60, 88, -56, 0, 204, 76, 0, -24, -268, 132, 0, 184, -44, -88, -88, 104, -48, 0, -64, 0, -172, 220, -340, 148, 0, 88, -156, 32, 10, 60, 238, 0, 0, 84, -116, -64, -64, 256, 0, -28, -20, -196, 28, 52, 240, 0, -118, 16, 40, 68, 146, 12, 0, 248, 58, -88, 108, 96, 0, 0, 104, 156, -24, -44, 242, 72, 0, 112, 60, -32, 76, 0, -120, 0, 74, -268, 136, 72, -14, 88, 0, -8, -140, -128, 0, -80, 114, 0, 236, 252, 18, -96, -72, -164, 0, 60, -24, 0, -12, -196, -108, 0, 68, 36, 60, -68, -72, -196, 0, -124, 0, 24, 68, 148, 76, 0, 44, 44, 252, -124, -56, 156, 0, 0, -76, -4, 54, 168, 146, 0, -12, 184, -168, 0, 36, 28, 0, -40, -44, -168, -8, 64, 136, 0, 56, 208, -36, 16, 116, 0, 0, -152, -142, 80, 112, 80, -202, 0, 60, -28, 36, -84, 0, 40, 0, 44, 4, -72, -56, 96, 202, 0, 94, -136, -112, 0, -56, -96, 0, -32, -208, -28, 164, 32, 200, 0, -68, 20, 0, 24, 194, -152, 0, 128, 16, -8, -164, -208, -148, 0, -102, 0, -160, -36, 36, 76, 0, 108, 140, 236, 8, -12, 88, 0, 0, -140, -16, -276, -56, 68, 0, 68, -116, 56, -66, 60, 104, 0, 138, -60, -60, 100, -44, -44, 0, 100, -62, 28, -248, 200, 0, 0, -92, -116, -124, 180, -148, -28, 0, -196, -84, 12, -66, 0, 8, 0, -84, 148, 112, 92, 138, -36, 0, 56, 196, 232, 0, -148, -160, 0, -220, 100, 148, 200, 200, -64, 0, 180, -14, 0, 82, 108, 144, 0, -36, 64, 232, 56, 32, 48, 0, -156, 0, 72, -68, 96, 96, 0, -188, -24, -22, -120, -40, -104, 0, 0, 272, 148, 24, -20, 148, 0, -4, 92, -52, -68, -254, 12, 0, -68, -16, -100, -184, -72, 24, 0, -52, -116, 188, 44, 48, 0, 0, 152, 76, -128, 88, 120, 158, 0, 28, -164, -14, 120, 0, 68, 0, -100, 52, 40, -192, 72, 80, 0, -72, -196, 116, 0, -76, -24, 0, 28, 124, -20, -116, -292, 60, 0, 44, -168, 0, 148, 190, -216, 0, -164, 0, 96, 140, -72, -216, 0, 248, 0, -72, -120, 168, -116, 0, -40, -64, 152, -150, 228, -24, 0, 0, -64, 168, -36, -60, 152, 0, -40, 12, -40, -8, -16, 168, 0, -210, 188, 152, 68, -26, -140, 0, -224, 112, 60, 32, -124, 0, 0, 156, -168, 128, -132, -154, -204, 0, -28, -118, -116, 22, 0, -160, 0, -234, -72, -140, 48, 138, 24, 0, 128, 152, -48, 0, 68, -108, 0, 324, -212, -56, 72, 18, 12, 0, -28, 88, 0, 46, -132, 8, 0, 232, -136, 162, -140, -92, 188, 0, 164, 0, 4, -44, 124, -12, 0, 112, -196, -158, -24, -84, -144, 0, 0, -48, -268, 328, -100, 50, 0, -148, -48, 68, 4, -74, 44, 0, 124, -204, 136, -80, 88, 36, 0, -140, -132, -144, 88, -124, 0, 0, -12, 98, 172, -48, -156, 80, 0, 18, 244, -82, 80, 0, -72, 0, 48, -76, -200, 172, 140, 42, 0, 82, -40, -112, 0, 92, -220, 0, -40, 156, -388, -292, 36, 160, 0, -132, -88, 0, -56, 82, -68, 0, -24, -212, -308, 32, 128, 132, 0, -196, 0, -112, 28, 280, -192, 0, 236, 144, -20, 72, -40, -28, 0, 0, 112, -36, 68, 112, 88, 0, -216, -116, -144, 10, 96, -48, 0, -100, -396, 4, 104, 100, -84, 0, 144, -212, -232, 124, 444, 0, 0, 72, 56, 68, 16, 200, 184, 0, 180, -14, 36, -56, 0, 184, 0, 132, 8, -156, 56, 70, -16, 0, -8, -172, 64, 0, -16, -156, 0, 152, -60, 54, 140, -148, 72, 0, -204, -58, 0, 70, 116, 92, 0, -168, -68, -126, -348, -92, 264, 0, 108, 0, 32, -256, -60, 32, 0, -8, 84, -308, 76, -40, 320, 0, 0, -20, -124, 20, 156, 106, 0, -76, 156, 224, -96], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [1, 1, 0, 0, 0, 0], [1, -1, 0, -1, 1, 0], [-1, 0, 0, 0, -1, 0], [-1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0], [0, -1, 0, -1, 0, -1], [0, 3, 1, 0, 0, 0], [1, -1, -2, 0, 0, 0], [0, 0, 0, 0, 1, 2], [0, -1, -1, 0, 1, 1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-2, -1, -1, -1, -2, -1], [0, 0, 1, -1, -1, 0], [3, -2, -1, -1, -1, -1], [0, 2, 0, 2, 1, 0], [0, 0, 1, -1, 1, 1], [-3, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0], [-3, 1, -1, 4, -2, -2], [0, -1, 0, -1, 1, 2], [-2, -1, -2, 0, -2, -1], [-1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0], [2, 4, 4, 1, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 0, 0, 2, -2, 0], [1, -3, -3, -2, 0, 0], [-1, -1, 2, 0, 3, -1], [4, -1, -1, 1, 1, 1], [1, -2, 1, -1, 4, 3], [1, -3, 3, -3, 0, 0], [0, 0, 0, 0, 0, 0], [-3, -1, -1, 2, 0, 2], [0, -2, -2, 2, -1, -2], [1, -1, 0, 1, 0, -2], [0, 0, 0, 0, 0, 0], [0, 3, 1, 0, 1, 1], [0, 3, -2, -2, 0, -1], [0, 0, 0, 0, 0, 0], [1, -4, 0, 0, 2, -2], [0, 4, -3, -2, -1, 2], [-2, -4, -5, -3, -3, -3], [-2, -1, -1, 3, -2, -3], [-6, 0, -3, 3, -1, -3], [-2, 1, -1, -1, -3, -1], [0, 0, 0, 0, 0, 0], [-2, 3, 0, 1, 0, 1], [-1, -1, -5, -2, -4, -2], [0, 0, 0, 0, 0, 0], [-2, -1, -4, 1, -1, 0], [8, 1, 2, 0, 4, 1], [-1, -3, 0, 3, 0, -2], [0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 2, 2], [2, 0, -3, 0, 0, 2], [-5, 1, -1, 3, -2, -2], [-2, 0, 3, 2, 1, 0], [2, -3, 1, -2, -1, 3], [5, 0, 3, -5, 3, 1], [0, 0, 0, 0, 0, 0], [-4, 2, 2, 4, 0, 0], [0, 0, 0, 0, 0, 0], [-2, 0, 2, 3, -2, -4], [-4, 1, -1, -1, -1, -3], [6, -5, 3, -4, 5, -1], [-1, -4, -1, -2, 3, 3], [0, 0, 0, 0, 0, 0], [-2, -1, -4, 5, -5, -3], [-4, -2, -5, 0, -5, 0], [2, 2, 1, -1, 1, 5], [-1, 1, 1, -4, 0, 4], [2, 1, 3, 2, 3, 1], [3, 0, 1, -3, 0, 1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-3, -2, -3, 3, 3, 0], [4, 1, -2, 2, 0, -1], [6, 5, 6, 5, 1, 0], [-8, 3, 1, 3, -1, -1], [-7, -2, 0, 0, -1, 2], [0, 0, 0, 0, 0, 0], [0, 6, 4, 2, -1, 2], [4, -2, 5, -8, 2, 2], [-3, -1, 0, 0, -2, -2], [-8, 2, -1, 3, -1, 0], [-4, 1, -1, 1, -3, 2], [-5, -5, -2, -5, -2, 0], [0, 0, 0, 0, 0, 0], [3, 3, -1, -4, 0, 2], [-2, 0, 4, 6, 5, 2], [-5, 5, -4, -3, 0, 6], [-1, -2, -2, 2, 0, -2], [4, 0, 0, 0, 4, 2], [4, -3, -3, 5, 1, 2], [0, 0, 0, 0, 0, 0], [0, -5, 2, 1, 7, 1], [-2, 2, -3, 3, -3, 0]]}