# Stored data for newform 7865.2.a.n, downloaded from the LMFDB on 19 September 2025.
{"Nk2": 31460, "analytic_conductor": 62.80234118973702, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, -1], [11, -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": [7865, 1, [3147, 3511, 1211], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 6224, "field_disc_factorization": [[2, 4], [389, 1]], "field_poly": [5, -2, -6, 0, 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, [-1, 8, -4, -2, 1]], [3, [7, 10, -8, -2, 1]]], "hecke_orbit": 14, "hecke_orbit_code": 58546795189378745, "hecke_ring_generator_nbound": 2, "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": true, "label": "7865.2.a.n", "level": 7865, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [5, 11, 13], "level_radical": 715, "minimal_twist": "7865.2.a.m", "nf_label": "4.4.6224.1", "prim_orbit_index": 1, "qexp_display": "q+(1-\\beta _{3})q^{2}+(\\beta _{1}+\\beta _{3})q^{3}+(1-\\beta _{1}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7865.2.a", "trace_display": [2, 2, 4, 8], "trace_hash": 1649816592709757973, "trace_moments": [{"__RealLiteral__": 0, "data": "0.079", "prec": 17}, {"__RealLiteral__": 0, "data": "3.722", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "39.637", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "651.359", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.007", "prec": 17}, "traces": [0, 4, 2, 2, 4, 4, -8, 8, 0, 8, 2, 0, -6, 4, 4, 2, -4, 2, 0, 4, 4, 4, 0, -10, 2, 4, 2, 14, 8, 16, -8, 14, 2, 0, -2, 8, -24, -18, -20, 2, 0, -6, -16, 18, 0, 8, 16, 18, 18, -12, 2, 32, 4, -6, 20, 0, 0, 20, 34, 2, -6, 4, 0, 16, -24, 4, 0, 18, -2, 0, 4, -30, -20, -8, 8, 2, 0, 0, -8, 24, -4, 20, 12, -30, -12, 2, -8, 10, 0, 24, 0, 8, 6, 18, 20, 4, 28, 12, -6, 0, 4, 32, 24, 6, 0, 4, -6, 14, -34, 8, 0, -62, -8, 20, -12, -10, 8, 8, -28, 4, 2, 0, -18, -10, 22, 4, 0, -2, -8, 24, 2, -8, 0, 8, 28, 14, 24, -14, 46, 12, 8, -54, -8, 0, 16, 16, -32, -6, -30, 38, -8, 12, -8, 12, 0, 14, -6, 42, 28, -8, 2, -20, 22, -2, 6, 0, -56, -8, 4, 4, -2, 16, -10, 2, -4, 8, 0, 30, 8, -16, -24, 56, 4, -26, 42, -18, -24, 0, 86, 28, -20, 4, -46, -26, 36, 2, -12, 46, 0, 32, 0, -14, 34, 32, -32, -6, -20, -52, -4, 0, -16, 32, 34, 10, 20, 18, 2, 28, -16, 4, 0, 2, 0, -4, 4, 8, 84, -26, 16, -18, 16, 0, 20, -28, 0, 18, 6, -18, -4, 54, 18, 14, 0, 64, -24, -12, 20, 4, 12, -10, 2, 0, -48, 0, 52, 32, 20, 12, -38, -36, 4, 48, -60, 14, 0, -6, -40, -8, 62, 4, 20, 24, 54, 4, -72, 0, -16, 16, 36, 12, 0, -14, -88, -56, -82, 20, 0, -12, 16, 16, 34, -44, 68, 6, 24, 2, -48, 0, -40, -10, -6, 36, -12, -22, -12, 4, -48, -40, 0, 8, 0, 4, 2, -18, -62, 16, 24, -16, 4, 0, -24, -64, 32, 8, -60, 4, -36, 52, 20, 36, 0, -80, -34, -12, 48, 18, 36, 48, 2, -4, -2, 0, 16, -80, -30, 0, -38, -8, -86, -26, 4, 14, 0, -10, -4, -30, 36, 64, 52, 10, -20, -28, 6, 0, 8, -8, -56, -12, 62, -36, 8, -12, -10, -20, 0, 2, 16, 16, 40, 72, 0, -20, 24, 52, -34, 0, -12, 92, 80, -12, -8, 68, 0, 82, -28, 24, 0, 8, 16, 40, -4, -40, -40, 14, 48, 20, 68, 0, -54, 6, 12, 98, 58, 4, -84, -30, 2, -10, 0, 12, -12, -12, -20, -100, 32, 2, 92, 8, 98, 0, -8, 26, 86, 42, 0, 10, 60, -52, -4, 68, 0, -24, -2, 30, 34, 24, 12, 98, -48, -18, 0, 0, 8, 44, 0, 8, -8, 36, -92, 96, 6, 28, 0, -72, 40, 18, 60, 58, -24, 36, 20, 52, 4, 0, -62, 4, -4, -92, 48, 20, 28, -18, -28, 0, 0, 12, 8, -30, -76, -94, -6, 32, -2, 58, -20, 0, -6, -60, 24, -86, 4, -36, 8, 22, -40, 32, 0, 2, -30, -30, 24, -16, -38, -12, -56, 6, -36, 0, 16, 0, 0, -8, -40, -46, -28, 4, 52, 34, 0, 64, -6, -4, 0, -6, -72, 14, 40, -74, -28, 0, -34, -2, 20, 82, 10, 8, -16, 6, -42, 64, 0, -36, -52, 48, 56, -62, -48, -56, -24, 18, -8, 0, -8, -6, 82, 20, -152, 40, -20, -72, -12, 68, 0, -16, 24, -10, -8, -36, 68, -34, 8, -60, -44, 0, 56, 8, 80, 52, 18, 28, -28, 106, -54, -16, 0, 4, -26, 14, 16, 20, 2, -44, -16, -52, -4, 0, -84, -6, 68, 20, -18, 18, -124, 36, -16, -10, 0, -32, -30, -36, 22, 32, 12, 48, 18, 4, 38, 0, -38, -146, 0, 46, -14, 16, 0, -2, 60, -12, 0, 44, -8, -116, -86, -56, 12, 24, -8, -6, 28, 0, 2, 36, 46, -50, 12, -8, 22, -168, 40, 84, 0, 2, 16, 32, -40, 8, 96, 54, 20, -24, 28, 0, 56, 92, 40, 14, 4, -148, 20, 24, 24, -50, 0, -56, -8, -14, -40, -50, -22, -6, 46, -52, 98, 0, -136, 12, -14, 18, -56, -100, 8, -32, 20, -52, 0, -54, 8, 64, 30, -42, -8, 48, -12, -14, 48, 0, -8, 30, -4, 8, 16, 12, -94, 58, 8, 16, 0, 40, 0, 68, -32, -8, 34, -42, 48, -6, -68, 0, -40, 2, -30, 20, -12, -60, -16, 38, 92, -52, 0, 28, -8, -28, -122, -34, 34, 12, -68, -30, -20, 0, -8, -46, 38, 16, 8, 12, 180, 2, 54, 68, 0, 8, 46, -36, 60, 14, 48, -124, -26, -36, -6, 0, 136, 182, 12, 42, 46, 78, 2, -124, 28, 40, 0, 4, 76, -8, -52, 40, -24, -90, 2, 24, -20, 0, 2, -20, 0, -92, -4, -20, 22, 78, 16, 88, 0, -2, -12, 52, 40, 16, 6, 66, 68, -34, 34, 0, -56, 52, -44, -28, -56, -44, -24, -6, -10, -8, 0, 38, 56, -70, 4, 56, -24, 50, -80, 4, -32, 0, -10, 12, -2, -70, -46, 92, -36, 16, 26, -26, 0, 64, -10, -20, -88, -114, -32, 2, 46, -60, 44, 0, -4, 18, 80, -112, 60, 8, 136, -38, 44, 30, 0, 52, 0, -56, -2, 30, 112, -80, 92, -4, 8, 0, -20, -4, -56, -16, -16, 0, -44, 50, -24, 16, 0, 48, 48, 56, -4, -30, -70, 32, 4, -44, -28, 0, 48, -26, -10, -16, 36, 40, 42, -72, -108, -30, 0, -18, -116, -92, -70, 78, -24, -12, 48, 34, -36, 0, -20, 2, 56, -4, 86, 44, -136, 78, -2, 28, 0, 60, -38, -8, -20, -40, 48, 78, -64, 4, -14, 0, 12, -28, -46, -56, 8, -140, -114, -26, 92, 8, 0, 16, 36, 4, -128, 24, -8, 2, -100, -72, -124, 0, -12, -88, 128, -66, -16, 46, 54, -108, 0, -124, 0, -16, 28, -164, -16, 32, 118, 8, -108, -130, 0, 0, 36, 34, -20, -14, 0, 0, 32, -76, 34, -44, 0, 112, -8, 32, 6, 64, -20, -10, -32, 20, -64, 0, -4, -6, 52, 24, 76, -40, -20, 108, 24, 34, 0, -52, -60, -150, -44, -8, -4, 68, -34, 76, -208, 0, 48, -34, 10, -12, -16, 36, 98, 20, 40, 32, 0, 24, 56, -150, 34, -28, -8, 66, -16, 10, 12, 0, 4, -132, 20, 24, -26, -110, 26, 18, 112, 62, 0, -30, 2, -54, -20, 26, -44, 28, -80, -50, -118, 0, -16, -24, -12, 22, -20, 4, 12, -66, 152, 84, 0, 64, -12, -44, -72, 2, 56, -6, 56, 44, 0, 0, -46, -16, -28, -4, -100, 98, -8, -68, 4, 60, 0, -38, -130, 8, 144, 30, 56, 50, 84, 10, 28, 0, 44, -26, 94, 48, -36, 22, 16, -4, 12, 52, 0, -18, -4, -128, 12, -28, 16, 124, 60, 0, -176, 0, -60, 24, 32, 44, 20, 96, -112, 36, 40, -28, 0, 6, -32, -16, 0, 40, -90, -170, 60, 18, -6, 0, -100, 24, 6, 26, -60, 8, -60, -18, 128, -64, 0, 22, -4, -76, -44, 18, -66, 54, 6, 32, 128, 0, 18, -44, -86, -60, -20, 14, -80, 22, 4, 18, 0, 4, -30, -22, 24, 64, -40, 26, -8, 68, -24, 0, 20, -34, -4, -12, 132, -58, 36, 8, 20, 24, 0, 28, 108, 4, 84, -18, 132, 60, 12, 40, -34, 0, -4, -10, 16, 34, 28, 112, 2, 144, -94, -32, 0, 0, -132, -56, -188, 66, -48, 12, -128, -8, -52, 0, -100, 112, 48, -218, 52, -16, -30, -20, -6, 32, 0, 112, 40, -4, 20, -52, -62, -64, 108, 12, -40, 0, 84, 82, -38, 68, -44, 10, 76, -36, 196, -18, 0, -64, 4, -20, -48, -2, -80, 48, 6, 32, 32, 0, -60, -92, -48, 32, -112, 14, 172, -42, 80, 16, 0, 112, 8, -42, -100, -6, 24, -86, -42, -112, -40, 0, 252, 50, 52, -8, 48, 8, 0, 6, 62, 204, 0, -46, -92, 4, 76, 82, 8, -44, 20, -52, 0, 0, -68, 24, -176, -26, 72, 56, 54, 44, 28, -10, 0, 4, -40, -20, 24, 200, -72, 152, -80, -144, -88, 0, 60, 242, -6, 92, -16, 28, -180, 44, 56, 16, 0, 48, 12, 40, 36, 14, 154, 64, 56, 12, 82, 0, 44, 70, 0, 136, -76, -230, -34, -14, 148, -28, 0, -10, -88, -86, 78, 244, 68, -56, -32, 8, -164, 0, -82, -48, 28, -100, -72, 20, 152, 42, -64, 108, 0, -128, 2, -90, -84, -12, 42, 40, -160, 0, 16, 0, -40, -62, 20, 16, -12, 44, -16, -104, 34, 32, 0, -20, -148, -44, -8, 68, -122, -92, 68, 10, -84, 0, 106, 6, -120, -100, -16, 20, 24, 22, -50, -118, 0, 2, 4, 64, 116, 164, -48, 112, -12, -6, 68, 0, -136, 30, 6, -114, -40, 20, -64, 14, 80, -10, 0, 26, 40, 16, -6, -8, -228, -72, -24, 36, -26, 0, 8, 108, -12, -16, 4, -44, -234, -22, 56, -4, 0, -42, -12, 8, -4, 38, -112, 4, -32, 26, 8, 0, -48, -152, -8, 8, -28, -40, 8, -46, 32, -4, 0, 50, -84, -34, 52, 8, -52, 4, -100, 128, 0, 0, -52, -186, 0, 4, 84, -188, 36, -40, 2, -8, 0, 122, 116, -18, 40, -16, -6, -156, -62, 98, 18, 0, 32, 16, -12, 52, -114, 138, 24, 50, 168, -14, 0, -16, -18, -140, -16, -52, 4, -38, -86, -30, -24, 0, 32, 64, -24, -10, -24, -164, 24, -36, -164, -64, 0, -28, -8, 104, 32, -48, 22, -36, -132, 8, -72, 0, -94, -70, -60, -168, 96, -54, 40, 4, 36, -30, 0, 208, -36, -56, -8, 74, -68, 52, 66, -90, 0, 0, 20, 80, 4, 14, 18, 36, 128, -94, -42, -16, 0, -2, 12, 28, 72, -80, 8, 22, -174, -36, -34, 0, -36, -10, -8, -12, 6, -14, -122, -62, 48, -64, 0, 108, 104, 18, -16, 24, 0, 84, 36, -120, 128, 0, -152, 48, 84, 28, -148, -116, 2, 32, 100, 218, 0, -4, 6, 40, 28, 68, -2, 128, -392, -8, -20, 0, 60, -108, -48, -136, 16, -50, -130, 14, -34, -80, 0, -46, 72, 0, -30, 66, 40, 120, 18, 0, 80, 0, -114, 8, -38, 196, 94, -36, -40, -8, 24, -196, 0, 8, -86, 44, 28, -20, 48, -26, -96, -32, -136, 0, 4, 24, -68, -138, -124, 14, 192, 0, 92, 16, 0, 32, 72, -74, 72, -10, -36, 84, 24, -120, -4, 0, 98, 180, -68, -30, 54, 54, 104, -244, 36, -14, 0, -54, -24, 64, -204, 58, -82, 4, 52, 232, 40, 0, 46, 10, -22, -4, 152, 24, -20, 30, 94, -14, 0, -28, -76, 12, 100, -18, 6, 72, -36, 54, -160, 0, -68, -86, 8, -96, 8, -208, -72, -10, 76, -8, 0, 96, 52, 40, -56, 4, -116, -54, -120, -12, -136, 0, 36, -16, 62, 28, 32, -48, 44, -36, -8, 214, 0, -16, 8, -236, -68, 160, -68, -12, -132, -236, 4, 0, -10, -38, 60, 126, 64, -20, 34, 16, 114, -16, 0, -136, 16, -118, 118, 2, 124, -106, 88, -64, 16, 0, -24, 8, -8, 16, 28, 22, 88, 8, 40, -42, 0, 78, 32, 72, 56, 48, -32, 288, 0, -28, 8, 0, 108, -20, -42, -86, 68, -82, 24, -6, -44, -36, 0, 52, 76, 102, -144, -4, -34, 104, -74, -78, -30, 0, -52, 0, -112, -52, -12, -64, -32, -66, -88, 92, 0, 38, -16, 32, 80, 52, 32, 102, -120, -12, 72, 0, -82, -20, -8, 28, 62, 24, -200, 68, 214, 52, 0, 44, 0, -62, -160, 12, 112, 82, 8, -28, -38, 0, -28, -268, 14, -138, -176, 24, -8, -42, -38, 156, 0, -112, 88, 210, -138, 8, 92, 56, -164, 12, 16, 0, 20, 14, -36, 40, -70, -246, -184, -104, -4, 20, 0, -70, -32, -40, 40, 24, -46, 18, -40, 68, -174, 0, -56, 14, 32, -138, -32, 68, 48, -14, -148, 32, 0, 20, 68, 100, -6, -24, 68, -64, 70, -12, -96, 0, 34, -88, 120, 98, -54, 42, 128, 36, 136, 6, 0, -112, -8, 168, 12, 12, -152, -182, 28, 98, 4, 0, 160, -42, 58, -52, 48, -34, 144, 4, -12, -8, 0, -74, -84, 48, -96, 208, -258, -30, 172, 84, 68, 0, 2, -28, -44, 2, 4, -10, -80, -44, -132, -188, 0, -94, -138, -20, -12, 12, 68, -208, -18, 14, -12, 0, 8, 120, -2, -12, 22, -54, 22, -124, -20, 26, 0, -16, -24, -100, 176, -128, -112, -2, 32, -44, -208, 0, -12, 2, -100, 150, -24, -96, 92, -128, 6, 58, 0, 8, 44, 66, -150, -98, 98, 40, -96, -74, -48, 0, -256, -128, -22, -80, -8, 244, -16, -110, 28, 26, 0, 98, -56, 20, 86, 84, 176, 16, -126, 42, 16, 0, 16, 284, 0, -8, -142, 38, -196, 10, -180, 8, 0, 58, 60, 128, -100, -108, 4, -52, 142, 194, -30, 0, -4, -36, 94, 254, 24, 68, 168, 4, -124, -70, 0, -132, 148, -30, -160, -24, 144, -120, -138, 264, -2, 0, 48, -50, -28, 30, 36, -130, -54, -32, 34, 58, 0, 16, 16, 24, 8, 122, -12, -28, 12, 76, -56, 0, 26, 98, -10, -46, 84, 116, -48, -246, -76, 74, 0, -18, -172, -128, -60, 2, 0, 52, 114, 180, -48, 0, -106, 246, -120, 40, 8, 16, -4, 56, 0, 44, 0, -88, -120, 6, 0, 180, -36, 168, -188, 8, 16, 0, 88, -96, -8, -58, -72, 66, 24, 36, -12, -50, 0, 104, -92, 100, -28, -186, -16, 96, 40, -106, -4, 0, 6, 30, 88, -54, 200, 28, 136, -104, -184, -190, 0, 160, -84, -104, 8, -72, 130, -160, -4, -24, 40, 0, 66, -90, -68, 18, -20, -16, 8, 150, 60, -24, 0, 118, 16, 58, 80, -60, 96, -16, -24, 48, -208, 0, 8, 36, -238, 26, 64, 320, 20, -14, -54, 56, 0, 52, 20, -168, -20, 96, 4, 122, 28, -42, -94, 0, 4, -140, 322, 12, -62, 72, 4, -8, 56, 4, 0, -12, 28, -26, -4, -62, -24, 18, 2, -92, 134, 0, -130, 8, 48, -20, 42, -134, 32, 20, -28, -70, 0, -42, 28, -76, 28, -16, -80, -18, 40, -274, -60, 0, -28, -14, -92, -108, -20, 0, 28, 8, -24, -28, 0, -208, -76, -92, 58, 12, -138, 10, 26, -16, 8, 0, 40, -142, 56, -30, -172, -116, 188, 184, -76, -20, 0, -52, 86, -94, 48, -52, 252, 54, -6, 124, 0, 0, -36, 32, 28, 28, 188, 4, -2, -28, 52, -46, 0, 58, -24, -12, 104, -268, -20, -20, -36, 74, -208, 0, 92, 128, -8, -136, -6, -52, 180, 4, 192, -60, 0, 174, 34, 104, 24, 114, 72, -48, 20, -86, -46, 0, -12, -96, 4, -102, 92, 222, -24, -36, 104, 148, 0, -26, 8, 86, -146, 20, -36, 22, -58, -238, 192, 0, -40, 88, 36, 128, -102, 32, 4, -56, -36, 204, 0, 60, -88, 74, 12, 2, 40, 30, 152, 36, -30, 0, 88, 38, -188, -30, -140, -280, -12, 188, 24, 40, 0, 366, -112, -16, 52, 8, 232, 172, -38, 46, -112, 0, -104, -12, 36, 68, 52, -24, -56, 20, -64, -104, 0, 6, 124, -22, 8, 102, -36, 40, 164, -72, -52, 0, -156, 32, -130, -202, 16, 32, -26, 198, -130, 0, 0, 18, -144, 180, 0, 184, 18, 116, -20, -8, -208, 0, -254, 100, -40, -40, -254, -14, -24, -46, -124, -158, 0, -124, -28, 64, 124, 142, -2, 4, 34, 152, 128, 0, 52, 70, 32, 82, -202, 34, 132, 204, -240, 32, 0, -48, 40, -164, -102, 64, -60, -24, -88, 260, -6, 0, -32, 144, 76, -4, 108, -42, -90, 142, 0, -36, 0, -90, 56, -6, -100, -40, 270, -132, -72, 62, 48, 0, 48, 14, -16, -74, -20, 68, 40, 104, 88, 16, 0, -74, -84, 24, -68, 72, -28, -52, 72, 140, 92, 0, -92, 30, 268, 20, -34, -176, -24, -238, -4, -2, 0, 174, -228, 184, 20, -62, -24, -46, 148, 82, 160, 0, -8, 132, 10, 272, 226, -24, 6, 8, 332, 38, 0, -28, -16, -276, -160, -30, 40, 6, 80, 136, 170, 0, -42, 254, 92, 32, 0, 64, -68, 32, 242, 40, 0, 164, -50, 14, 170, -36, 34, -230, -56, 76, -52, 0, 130, -232, -212, 48, -148, 94, -82, 10, 56, -302, 0, -8, -168, -62, -40, 84, 140, 16, -48, -160, 20, 0, 32, -56, 32, 202, 74, 254, -24, 24, 44, -60, 0, 18, 56, -34, 72, 24, -8, -132, -74, 54, -212, 0, -312, -80, 2, -88, -8, -204, 4, 68, -80, -6, 0, 116, 112, 114, 82, 28, -100, -8, -44, 20, 264, 0, 96, -6, -152, 156, -94, -210, -16, 40, -134, 12, 0, 32, -20, -56, -102, -78, -88, -72, 40, 4, 24, 0, -12, 12, 30, -160, -112, 68, -108, 122, 88, 208, 0, -96, 48, 12, 4, -16, 66, 58, -194, 48, 24, 0, 80, 2, -8, -10, -12, 196, 132, 52, -8, -22, 0, 18, 116, -36, 0, 42, 8, -280, 68, -6, -130, 0, 244, -34, 8, 6, -168, -4, 8, 136, -180, -2, 0, -60, 208, 120, -96, 12, -44, 32, 4, -198, 8, 0, -156, 156, -28, -20, 56, 104, 92, 10, -140, 8, 0, -210, 118, 124, 80, 96, -74, 24, 160, 52, 120, 0, 84, 28, 18, 16, 144, -12, -242, 28, -86, -24, 0, 2, -28, -26, 0, 32, -40, 106, -42, 142, 44, 0, -54, -200, -6, 98, 16, -16, -272, 22, 64, -58, 0, 36, 40, -154, 48, 4, 108, -18, -128, -120, -26, 0, 184, 208, 0, 14, 196, -58, 324, -12, 16, 28, 0, 40, 176, 20, 196, -354, 280, 148, 2], "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], [1, 0, 0, 0], [1, 0, 0, -1], [0, 1, 0, 1], [1, -1, -1, 0], [1, 0, 0, 0], [-2, 1, 0, 0], [2, 0, 0, 0], [0, 0, -1, 0], [2, 2, 2, 0], [1, 0, 0, -1], [0, 0, 0, 0], [-2, -2, -1, 1], [1, 0, 0, 0], [2, 0, 0, -2], [0, 1, 0, 1], [-1, 2, 0, 0], [0, 2, -1, 1], [0, 0, 2, 0], [0, 0, 0, 2], [1, -1, -1, 0], [0, 2, 0, 2], [0, 0, 0, 0], [-2, 1, -2, -1], [1, -1, 1, -1], [1, 0, 0, 0], [1, 0, 0, -1], [4, 5, 2, -1], [2, -2, -2, 0], [5, 2, 0, -2], [-2, 1, 0, 0], [3, 0, -1, 1], [-1, 0, 0, 3], [0, 0, 0, 0], [-1, 1, -3, 1], [2, 0, 0, 0], [-6, -4, 0, 0], [-3, -2, 3, -3], [-4, 2, 2, -2], [0, 1, 0, 1], [0, 0, -1, 0], [-1, 0, -1, -1], [-4, 2, 0, 0], [4, 1, 2, 1], [0, 0, 0, 0], [2, 2, 2, 0], [2, -1, -6, 4], [5, -6, -3, -1], [6, 3, 4, -3], [-3, 0, 0, 0], [1, 0, 0, -1], [9, 3, 5, -2], [1, -1, -1, 0], [-2, -2, -3, 1], [4, -1, -2, 2], [0, 0, 0, 0], [0, 0, -2, 0], [4, 0, 0, 2], [9, -2, -4, -1], [-1, 0, -1, 3], [-2, -2, -1, 1], [1, -2, 4, 0], [2, 1, -1, -4], [4, 4, 4, 0], [-5, -1, 3, -2], [1, 0, 0, 0], [0, 0, 0, 0], [5, -2, -3, -1], [0, -3, -4, -1], [3, -2, 4, -6], [2, 0, 0, -2], [-7, 4, 3, -1], [-6, 0, 0, 2], [-4, -4, -6, 4], [0, -3, 5, 4], [0, 1, 0, 1], [-2, -2, 0, 4], [0, 0, 0, 0], [-2, 1, 0, 0], [7, -1, 1, -2], [-1, 2, 0, 0], [5, 10, 2, 0], [2, -1, -3, 2], [-9, -2, 1, 3], [-4, -4, -2, 2], [0, 2, -1, 1], [0, 1, 4, -4], [2, 9, 4, 1], [0, 0, 0, 0], [6, -2, 0, 0], [0, 0, 2, 0], [2, 0, 0, 0], [4, 2, -3, -5], [3, 2, 1, 3], [10, -1, -1, -10], [0, 0, 0, 2], [6, -1, 0, 2], [4, -4, -4, -2], [-3, 0, 0, 3], [0, 0, 0, 0], [1, -1, -1, 0]]}