# Stored data for newform 6845.2.a.f, downloaded from the LMFDB on 03 January 2026.
{"Nk2": 27380, "analytic_conductor": 54.65760018356642, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, -1], [37, 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": [6845, 1, [5477, 1371], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 973904, "field_disc_factorization": [[2, 4], [60869, 1]], "field_poly": [6, 19, 6, -8, -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, [12, 11, -14, -8, 2, 1]], [7, [302, -268, 32, 32, -11, 1]], [17, [-192, 356, -12, -52, 0, 1]]], "hecke_orbit": 6, "hecke_orbit_code": 22517998170413757, "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": "6845.2.a.f", "level": 6845, "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, 37], "level_radical": 185, "minimal_twist": "185.2.a.e", "nf_label": "5.5.973904.1", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{4}q^{2}+(1-\\beta _{1})q^{3}+(2+\\beta _{3})q^{4}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "6845.2.a", "trace_display": [-2, 3, 5, 11], "trace_hash": 285262694542728991, "trace_moments": [{"__RealLiteral__": 0, "data": "0.101", "prec": 17}, {"__RealLiteral__": 0, "data": "4.543", "prec": 17}, {"__RealLiteral__": 0, "data": "0.011", "prec": 17}, {"__RealLiteral__": 0, "data": "56.178", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1099.230", "prec": 27}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.004", "prec": 17}, "traces": [0, 5, -2, 3, 10, 5, 6, 11, -6, 6, -2, -5, -2, -4, 8, 3, 16, 0, -2, 4, 10, 3, 8, -4, 42, 5, -4, 3, 28, 4, 6, -8, -14, 5, -32, 11, 16, 0, -2, -2, -6, -5, 52, -10, -46, 6, 0, 7, -20, 22, -2, 2, 32, -1, 10, -5, -8, 8, -16, 30, -2, 14, 24, 30, 20, -4, -48, 24, -20, -8, 8, -7, 10, 5, 0, 3, -12, -17, 58, -28, 16, -31, 8, 27, -18, 0, 44, -36, 28, -6, -2, 14, -56, 22, -4, 4, 42, 26, 18, -10, 10, -29, -34, -22, 0, 3, -56, 6, -16, -10, 8, 0, 82, 26, 16, -4, 24, 24, -16, -14, 42, -14, 32, 5, 10, 5, -10, 59, -30, 14, -4, 30, 10, 40, -50, 3, -28, -10, -24, -4, 28, -21, 32, -36, 56, 4, 52, 20, 0, -5, 6, 24, 6, 20, 0, -8, -26, 25, -60, 17, -14, 20, 18, -12, -46, 5, -54, 22, 172, 7, -32, 42, 16, -37, 28, 11, -76, 52, 56, 24, 16, -23, -34, 6, -8, 0, 48, 20, 44, 37, -2, -18, -100, 28, 0, -2, 108, 1, -8, 10, -6, -28, 28, 16, -118, -5, 8, 20, 84, 16, 52, -5, -30, -37, -36, -10, -22, 14, -12, -37, -46, 0, 0, 1, -100, 6, -4, -36, -80, 11, 0, 21, -96, 14, 8, 7, 74, -74, -118, -26, -20, 12, -14, -28, 8, 22, -48, 14, 84, 5, -2, 40, 96, 52, -38, 2, -20, -26, 20, 0, 32, -12, -26, 49, -108, -1, -72, 38, 24, 46, 10, 17, 16, 16, 16, -5, -116, -50, -88, 28, -8, 46, 112, 4, -54, 8, 4, -17, -82, 19, -16, -58, -18, -14, 144, 30, 0, 19, 8, -20, -2, -26, -148, 35, 56, 14, -68, 43, -154, -58, 24, 6, 86, -34, -76, 30, 2, 50, -92, -20, 20, -56, -124, 58, -102, -4, -12, -50, 28, 89, -48, 36, 130, 0, -24, 24, -52, 41, 42, 32, -20, -18, -48, 25, 92, -8, 8, 4, -96, -30, 8, -20, 68, 18, 16, -7, 0, -40, -38, -3, 10, -3, 48, -38, 166, 5, -12, -8, 0, -10, 0, -65, 76, -21, 60, 3, -60, -4, -48, 23, -12, 101, -36, -38, 74, -17, 28, -36, 112, -48, 58, 76, 14, 30, 172, -28, -96, -51, -42, 50, 16, 14, -56, 70, -22, -31, -88, 0, 2, 24, 8, -18, 64, 32, -84, 27, -108, -64, -4, -53, -18, 56, 52, 58, -20, 0, -56, 22, 50, 24, 44, -34, 26, -41, 60, -36, -52, 100, 36, -16, 28, 60, -32, 33, 0, -6, 70, -85, 134, -6, -2, 41, 20, 12, -84, 14, 108, 6, -96, 4, -56, -6, -224, -2, 72, 22, -36, 26, 84, -8, -4, 39, 28, -26, -20, 4, -102, 10, 26, 52, 42, 0, 72, 8, 32, 26, -130, 8, 16, -68, 18, -12, 10, -4, -38, -10, 22, -23, 92, 84, 10, -98, 6, 28, 22, -29, 8, -83, 162, -23, -34, 69, -134, 48, -12, -22, 228, -37, 0, -75, 0, 55, -60, -2, -52, 3, 58, -30, 128, 45, -56, 40, 56, -36, -40, 6, -154, -68, 112, -86, -16, 30, 36, 9, -104, -10, 176, -24, -60, -32, 8, -8, 8, -106, 48, 0, 80, -16, 66, 20, 82, 120, -8, -24, -150, 26, -60, -91, -28, 34, 16, 87, -100, 48, 0, -4, 52, 20, 98, 76, 24, 43, 68, 29, -32, 24, 40, 30, 62, 16, -16, 99, 0, -39, 12, -14, -90, -14, -92, 9, 42, 78, 208, -34, 88, -14, -18, 8, -138, -120, 32, 74, -88, -55, 12, 5, 76, 7, 200, -13, 10, 80, 20, -58, -102, 5, -24, 88, 150, 0, -10, -78, -152, 137, -20, 59, -110, 80, 112, -78, -30, 51, -8, 44, -80, 14, -42, 38, 42, -44, -4, 128, -64, 30, -8, 30, -76, -30, -136, -55, 10, 30, -118, -116, -98, 40, 0, 8, 200, 55, -50, 6, 120, 1, -80, 3, -42, 11, 10, 34, -28, 24, -108, -8, -2, -10, 50, -35, -84, -16, -24, -44, 70, -66, 188, -4, 100, 20, 64, -46, 28, -60, -88, 0, -64, -21, -12, -83, 88, 28, 32, -64, 144, -24, -144, -36, 100, 6, 72, 27, 56, 70, -78, 64, -54, 4, 90, 26, -30, -27, 52, -140, 140, -47, -114, 20, -112, 0, -8, 11, 0, -40, -112, 25, 12, -5, 120, 48, 4, -40, 6, 81, 202, -28, -124, 24, 42, 28, 92, 108, 6, 129, 84, 14, -166, 20, -136, -6, -176, 28, 0, -76, -64, 33, 144, -8, -168, 0, 172, 16, -26, 47, 52, 32, 188, 25, -156, -13, -146, 207, -60, 68, 80, -80, 148, 17, 52, 20, -22, 22, -14, -64, 148, 23, -116, 20, 102, 36, 156, -48, 18, -29, 92, -57, 0, -12, -138, -112, 56, 74, -46, 49, -160, 190, -64, 5, 148, -20, -76, 92, -54, -60, 56, -84, 12, 22, -60, -26, 80, -32, 172, -65, -20, 38, -86, 7, -74, 16, -44, -168, -32, 0, 62, 36, 168, 42, -160, 114, -144, -38, 16, 21, 112, -48, -74, -37, 56, 145, 128, -30, 28, -106, -92, -76, -136, 11, 30, -54, 78, -22, -76, -6, 62, 44, -32, 52, 108, 29, 0, 99, 56, 71, -122, 100, -6, 24, -216, -28, -44, -60, 16, 152, -36, 90, 8, -23, -4, 38, -112, -18, -34, -156, -44, -103, 112, 6, 250, -14, -24, -154, -8, 55, 156, -104, 58, 0, 184, 48, -112, 14, 48, 14, -104, 92, -88, 20, -92, 23, -68, -46, 44, 70, 84, 52, 50, 37, -136, 28, -184, -68, -2, -26, -170, -13, -60, -18, 76, 60, 106, -130, -100, -31, 0, -72, -32, 28, -260, -90, -62, 120, 0, -64, 88, -80, -96, -2, -68, -88, -52, -6, 108, -4, -124, 11, -108, 1, 4, 1, 94, -152, -8, -66, 0, 0, 48, 10, -86, 0, -108, 0, -6, -152, 212, -2, 48, -28, -64, 32, 200, 33, 28, -53, 72, -100, -22, 16, 46, 52, 80, -68, -118, 80, 40, -54, 60, -5, -92, 50, -52, 93, 8, -100, -140, 97, 64, 20, 0, -104, 224, -119, 84, 52, -128, 69, 76, 16, 92, -72, -26, 74, 52, 82, -6, -44, -54, -5, -284, -20, -58, -34, -30, -6, 62, 87, -52, -37, 4, -86, 360, -14, -36, 22, 12, 0, 64, -10, 4, 19, -32, 70, -22, 84, -264, 121, 118, 14, 6, -68, 84, 20, -12, 10, -16, 76, 16, -37, 0, -60, 56, 9, -46, -132, -36, 34, -20, 0, -240, 19, -184, -95, 0, -7, -208, -67, -200, 1, 52, 15, 148, 17, -100, -16, 32, 78, -28, 6, -76, -92, 312, -2, -4, -28, 64, -86, -22, -36, -136, -119, 28, 42, -80, -24, 44, 120, 124, 11, -300, 0, -154, -58, 0, -33, -102, 92, -140, 21, -50, -40, -180, -64, -96, -66, -32, 56, 64, 14, 76, 12, -4, 78, 8, 2, -144, 220, -176, 7, 356, -44, -24, -18, 74, 41, -32, 41, 0, -74, -128, 131, -22, -20, -118, 71, -152, 115, -12, -26, 20, 84, -92, 42, -20, 4, -12, 66, 40, 12, -96, -88, -172, 28, -14, 43, 204, 58, 180, -28, 140, 41, 76, 44, 8, 0, -126, -30, -88, 22, -76, 72, 164, 24, -48, 53, -328, -144, 12, 14, -168, 158, 276, 82, 84, -116, -92, 6, 22, 5, 348, -48, 210, -25, -2, -48, -16, 36, -124, 40, -48, -27, 0, -44, 96, -68, -126, 84, 22, 52, -76, -9, 248, 73, -38, -18, -112, -40, 40, 2, -112, 64, -4, 64, -20, 30, 76, 130, -52, -26, 124, -60, -148, 72, 20, -25, -54, -184, 152, 0, -196, 26, -12, -47, 32, -52, 126, -54, -124, -12, 116, 76, -208, 88, -26, 212, 68, 76, -20, 49, 350, -76, -200, 62, -108, -169, 108, -4, 16, -1, -56, 136, 216, 37, -72, 9, 0, 88, 48, 38, -264, -188, -188, 200, 24, -14, -48, 54, -284, 46, 24, -158, 2, -72, 10, -32, -138, -5, 36, 17, -22, -112, 116, 92, 16, 112, -312, 56, 0, 16, 60, 72, 12, 0, 16, 2, 280, 74, 152, -5, 244, 0, 32, 117, -116, 7, 128, 110, -68, -50, -12, 0, -108, 122, -88, -46, -248, -34, 60, 28, -140, -103, -224, -113, -8, -58, -112, -64, 92, 46, 0, -214, 220, -109, 112, 26, -76, 74, 146, 4, 172, -16, -116, -214, -54, 4, -86, 12, -204, 8, -180, 139, -488, 30, 4, -53, -222, -30, 244, -17, 6, 40, 244, -25, -82, 82, -212, 0, -174, 19, 104, 59, 112, -28, -16, -76, -136, -15, -132, -58, 282, 42, -30, 7, -18, -40, -28, -16, -4, -14, -216, -56, 132, -32, 144, 115, 176, -100, 204, 30, -96, -5, 16, -36, 0, 137, 32, -75, -278, 19, -36, 95, 148, 90, 8, -81, 46, -22, -16, -20, 260, -18, -40, 142, -2, -84, -252, -40, -320, -26, 12, 50, 116, 116, -148, -64, -124, -176, 140, 35, 134, 0, 16, 96, 56, -98, -88, -62, 90, 14, -228, -77, 96, -84, -68, 12, 28, -5, 122, 43, -70, -36, -144, -42, -154, -12, -6, -43, 124, -58, -100, -24, 56, 148, 24, 129, 76, -134, 0, 6, -152, 34, -4, 60, 86, -63, -4, 3, 68, -34, -4, 154, -142, 38, -76, 6, -8, 108, -212, 30, 368, -12, -152, 7, 2, -132, 30, 12, -172, 50, 8, 243, -14, -308, -92, 0, -90, -64, -16, -20, -146, 106, -122, 24, 20, -22, 208, -65, -20, -56, -20, 52, 76, 112, -124, -42, 22, 92, 154, 58, -128, -42, 128, -17, -102, -103, -8, 34, -360, -4, 112, -8, 0, -2, -12, -78, 6, 12, 132, -50, 72, -41, 62, 85, 28, 36, 0, -54, 216, 89, -176, 22, 276, -188, -48, 46, 108, -92, -100, 36, -12, -30, -20, -304, 130, -64, -106, -18, -232, 0, -292, -130, -188, -54, -24, -86, 140, 90, -96, 24, -22, 148, -184, 60, -52, -164, -30, 108, 136, 41, -48, 172, 336, -172, 42, -172, 180, -118, -164, 32, -28, -34, 56, 45, -20, -148, 0, -190, -180, -18, 48, -106, -8, 5, -48, -44, 18, -79, 72, 25, 136, -52, -20, -68, 92, -46, -224, 177, -82, -8, -102, -125, 170, -20, 8, 110, -242, -238, 66, 4, 288, -40, 212, 0, -96, -46, -150, -77, 40, -30, 20, -48, 36, 127, 8, -32, 80, -40, 28, -20, -124, 84, -84, -248, 68, 6, -132, -26, 272, 18, 132, 22, -264, 16, 16, 100, -156, 42, -136, -7, 0, 2, 208, -17, 0, -164, -60, 30, 178, -40, -196, -68, -296, 156, -38, -26, -82, 52, -108, -3, 56, 171, -48, -32, 10, 19, 136, 220, 142, -3, 132, 48, 60, 20, 48, 96, -380, 0, -72, -38, 36, -40, 152, -50, 166, 212, 88, 59, -56, 5, 152, -32, 0, 0, -12, -68, -188, -56, 52, -8, 20, -178, 64, -41, 0, 1, 64, -180, -208, -10, -96, 74, -500, 45, 0, -151, -44, 72, -48, -65, 240, 17, 116, 49, 76, 17, -52, 48, -156, -21, 212, -100, 184, 130, 60, 15, 120, 130, -180, 3, -120, -38, -76, 38, -60, 44, -116, 288, -58, -4, 8, 0, 32, -36, -48, -56, 108, 42, -116, 23, -168, 45, -156, 90, -12, -52, 264, -107, 22, 101, -100, 90, -196, -120, -36, 38, 90, -17, -128, -38, 40, 61, 196, -78, 74, 40, 182, 235, 0, -17, -38, -37, 176, 12, 28, -75, -268, 67, -144, -36, 148, -84, -56, -72, 112, 102, 44, 104, -314, -48, -196, -36, -108, -17, 58, -27, 184, 80, 144, 76, -168, 68, -200, 66, 14, 0, -140, 84, 68, 30, -14, 118, 128, -76, 172, 129, 196, 6, 270, -28, -146, -5, -24, -118, -96, 4, -38, 10, -122, -51, -68, -35, -182, -108, -42, 31, 340, 10, 132, 50, 130, -125, 0, 103, 16, -32, 64, 118, -84, 14, -202, -80, -130, -86, -56, -136, 288, -134, 48, 70, -218, -76, 104, 187, -22, -106, 44, 173, 120, -31, 144, -128, -18, 40, -88, -139, 200, -132, -24, 0, 230, -218, 140, 35, 2, 124, 92, -128, 118, 24, -60, -216, -6, 8, 8, 18, 76, 46, -118, -18, -112, 16, 272, 60, 64, -26, -30, -27, 312, 32, -104, -180, -274, -11, -84, 84, 0, 180, -96, 27, -170, -208, 196, -5, -108, 89, 8, -125, -18, -64, -306, 4, -188, -100, -4, 120, 72, -188, -46, -53, -148, -116, -32, 169, -18, 148, -168, 12, 374, 56, 12, 84, -222, 0, 52, 84, 356, 179, -332, 58, -6, 84, -100, -72, -20, 137, -84, 92, 52, 0, 148, 52, 124, 12, -56, 228, -100, -62, 168, 22, -280, 21, -92, -36, 50, -2, -294, -90, -26, 24, 0, 78, -120, 29, 44, 122, 92, 107, 64, -34, -384, -59, -6, 34, 26, 120, -244, -30, 36, -41, -272, 147, -112, 140, 60, 72, 96, 29, -180, -36, 108, 208, -50, 132, -52, -10, -258, 0, 376, 100, -208, -25, 112, -42, 36, -162, -312, -292, -120, -16, 36, -116, -8, -117, 28, -102, 84, -22, 136, 60, -44, -2, -216, -2, -32, 88, -116, 86, 12, 33, 28, 317, -88, 166, 0, 53, -184, -50, 112, -6, -252, 86, 236, 121, 70, -208, 90, -76, -100, -85, -100, 66, 52, 96, 134, -65, 96, -8, 248, -6, -220, -262, -24, 252, -2, 54, -92, -137, -228, 41, -288, 0, -136, -30, 20, 172, 124, -58, -404, 12, 56, 98, -362, 89, -84, 260, 196, -23, 356, 14, 32, 96, 14, -154, 108, -174, -192, -13, 338, 6, 88, 34, -268, -118, -96, 92, 60, 99, 0, 4, 76, -167, -36, 32, -56, -28, -272, 138, -24, -6, 64, -104, -216, 48, -224, -130, 350, -44, 240, -2, 272, 24, 76, -45, 72, 81, 52, -120, 330, 22, 94, -38, 188, -116, -36, 0, 78, -64, -48, 26, 24, 88, -40, -38, 84, 53, -52, -99, 24, -8, 140, 109, 164, -24, -4, 48, -78, 36, 196, 39, 28, 241, -60, 165, 28, 3, 0, 48, 410, -26, -4, 52, 0, 40, -20, -60, 6, 82, 96, 4, 56, 61, 112, 156, -102, -88, 76, 84, 52, 10, 16, -114, -32, -74, 26, -66, -108, 10, -80, 52, -134, -64, 104, -4, 42, -87, -116, -102, 296, 0, 68, 44, 440, -67, 72, 130, -30, 36, 96, 8, 248, 241, -36, -44, 32, 120, -244, 182, -298, 26, -184, 60, -204, 128, -130, 32, -58, 37, -44, 8, -396, -142, 216, -82, 16, 25, 0, 4, 322, -68, -192, 202, 12, -56, 18, -196, -222, 123, 244, -12, 36, -116, -40, -198, 10, -120, -160, 59, 348, -4, 84, 103, 254, 36, -38, 30, 280, -6, 32, -10, -102, 84, 378, 0, 22, -168, -76, -162, 108, -23, -4, 60, 192, 16, 92, -77, -132, -80, 48, 84, -186, 76, 124, -294, 10, 6, -80, 116, -48, -98, -72, 176, 92, -216, 6, -14, 220, 49, 88, 28, 0, 16, -168, -239, 22, -160, -148, -159, -104, -29, 192, -107, -100, 72, 8, -54, 254, 60, 50, -83, -172, 20, -184, 62, 162, -70, -108, 8, -128, -23, 68, -112, 332, -14, -34, -92, 272, 0, 12, 69, -48, 27, 152, 164, -134, -108, 72, 118, -86, 48, -160, 300, -4, -72, -12, 78, 176, -6, 84, -22, -152, 92, 112, -60, 228, -88, 72, -66, 82, -37, 40, -14, 4, -268, 0, -245, 206, -146, -92, -75, -244, -162, -200, 52, 0, 182, -64, -220, 458, 55, 112, 110, -40, 50, -60, -57, 76, -68, -238, -2, 24, -113, 288, 6, -52, 100, -228, 100, -64, 3, 252, 0, 112, -102, 58, 46, -312, -310, -232, -30, -198, -16, 62, -4, 128, -116, -52, -68, -132, 45, -70, 78, -190, 168, -56, 44, -228, 291, -232, 40, -226, 182, 40, 86, 56, -163, -12, -257, 0, -36, 120, 187, 120, 76, -40, 59, 316, -116, 24, 6, 342, 144, -128, 70, -154, -178, -228, 30, 4, -68, 294, -16, 116, 123, 112, -84, -242, -16, 292, -86, -268, 36, 44, 70, -16, 0, 328, 292, -72, 30, 156, 100, 282, -52, 36, -27, 206, 38, 68, 9, 256, -80, -176, -98, -104, 26, 40, -40, 84, -10, -232, -125, -180, -111, 176, -157, -324, -202, 44, -24, 94, 300, 0, 91, -60, 90, -60, 24, 186, -32, -232, 0, -6, 89, 8, -40, -332, -16, 256, -8, -184, 132, 412, 60, 8, -8, 8, -14, -180, -106, -160, -240, 288, 160, 48, 32, -416, -52, -96, 0, 284, -52, -20, -63, 80, 42, -126, 24, 332, -16, -12, -50, 4, 64, 66, 91, -20, -56, -8, 20, -96, -82, 200, 268, 82, 14, 232, -110, -140, 120, 40, 130, 8, 24, -8, 117, 0, 168, -14, -24, -120, -116, 52, -45, -150, 152, -178, 8, -116, 26, 28, 26, -112, 108, -60, 142, 12, -147, -208, -91, 356, 25, 120, -192, -28, 96, -252, 54, -32, 34, 88, 196, 464, 0, 16, 120, -48, 60, -38, 87, -104, -74, 112, 13, -100, -42, 56, 244, 152, 48, 40, -82, -72, 108, 0, -88, 116, -140, -100, -4, 94, -138, -192, -24, 52, -136, 52, -35, 556, 20, 0, -197, 170, -28, 98, 156, 12, 55, 20, 76, -76, -214, -200, -206, 24, -166, -222, 88, 122, 43, 8, 218, 312, 46, 68, 47, -266, 28, 48, 29, -34, 166, -396, -348, -32, -168, -280, 0, -212, 24, 124, -162, 200, -128, 40, 120, 62, -49, -132, 30, -362, -322, -8, -151, 62, -52, -124, 106, 88, 16, -52, 224, -132, 173, -16, -96, 80, -98, 244, 99, -122, -199, 260, 42, 0, 146, 176, 164, -16, -39, 104, -344, -116, -131, 12, -72, 304, -114, -294, -14, -96, 180, -268, 70, -90, -101, -284, -16, 196, -14, -204, 72, 190, 48, -92, -160, -20, 23, 76, 9, -12, 0, -146, 160, 42], "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], [1, 0, 0, 0, 0], [0, 0, 0, 0, -1], [1, -1, 0, 0, 0], [2, 0, 0, 1, 0], [1, 0, 0, 0, 0], [1, 1, 1, 1, -1], [2, 1, 1, 0, -1], [0, -2, 0, 0, -1], [1, 0, 1, 0, 0], [0, 0, 0, 0, -1], [-1, 0, 0, -1, 0], [2, -3, -2, 1, -2], [-1, 0, 1, 1, 0], [4, -3, -2, 1, -2], [1, -1, 0, 0, 0], [2, 2, 2, 1, 0], [-1, 0, 1, -1, 2], [1, -2, -1, 1, -1], [0, 1, 2, -1, 0], [2, 0, 0, 1, 0], [2, -2, 1, 0, -2], [0, 2, 0, 0, 2], [-2, 2, 2, -2, 0], [7, 3, 3, 1, -1], [1, 0, 0, 0, 0], [1, -4, -1, 1, 0], [0, 2, 1, -1, -1], [5, 3, 3, 3, -3], [0, 2, 0, 0, 0], [1, 1, 1, 1, -1], [-1, -1, 1, 1, -1], [0, -4, -4, 0, -1], [-1, 2, 2, -1, 2], [-7, 0, -1, -1, 2], [2, 1, 1, 0, -1], [3, 2, 1, 2, -2], [0, 0, 0, 0, 0], [1, -3, -3, 1, 1], [1, 0, -1, 0, -3], [0, -2, 0, 0, -1], [-1, 0, 0, -1, 0], [11, 0, 1, 5, -2], [0, -2, -2, 2, -2], [-8, -2, -2, -2, 0], [1, 0, 1, 0, 0], [0, -2, -4, 0, 4], [0, 3, 3, 0, -1], [0, -5, -2, -1, -4], [5, 0, 1, 2, -2], [0, 0, 0, 0, -1], [-1, 0, 1, -4, 3], [5, 4, 3, 1, -2], [-1, -2, 0, -1, 4], [3, -2, -3, 0, 1], [-1, 0, 0, -1, 0], [4, -9, -2, 1, -4], [1, 0, 3, -3, 0], [-2, -2, -2, -2, 0], [7, -3, -1, 1, 1], [2, -3, -2, 1, -2], [4, 0, -2, 0, -2], [6, -3, 0, 3, 0], [6, -1, 2, 1, 0], [0, 8, 4, -1, 0], [-1, 0, 1, 1, 0], [-8, -4, -4, -2, 2], [4, 1, -2, -1, 2], [-7, 4, -1, -1, 4], [-4, 2, 4, -4, 2], [4, -3, -2, 1, -2], [-1, 2, -2, -1, -2], [5, -4, -1, -1, -3], [1, 4, 0, -1, -4], [0, 0, 0, 0, 0], [1, -1, 0, 0, 0], [-4, 5, 2, 1, -2], [-3, -2, -2, -3, 2], [11, 2, 1, 2, -1], [-7, 1, -1, 1, 3], [2, 2, 2, 1, 0], [-6, 0, -1, -1, 0], [0, 2, 0, 0, 2], [5, -1, 0, 2, 2], [5, -8, -3, 3, -12], [-1, 0, 1, -1, 2], [8, 2, 4, 2, -2], [-6, -2, -2, 0, 0], [0, 6, 4, 0, 6], [2, -4, -4, 2, -2], [1, -2, -1, 1, -1], [3, -2, 1, 4, 1], [-14, 6, 2, -2, 0], [5, 2, 1, 1, -4], [4, -9, -6, 1, 0], [0, 1, 2, -1, 0], [5, 5, 1, 5, 3], [6, 2, -4, 2, -2], [9, -6, -1, 3, -7], [-2, -2, 0, -2, 2], [2, 0, 0, 1, 0]]}