# Stored data for newform 8325.2.a.cf, downloaded from the LMFDB on 30 January 2025.
{"Nk2": 33300, "analytic_conductor": 66.47545968271592, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [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": [8325, 1, [3701, 7327, 5626], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 457904, "field_disc_factorization": [[2, 4], [28619, 1]], "field_poly": [-6, 5, 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, [-6, 5, 8, -5, -2, 1]], [7, [-24, 11, 24, -16, 0, 1]], [11, [-292, -389, -76, 33, 12, 1]], [13, [113, 249, 38, -30, -3, 1]]], "hecke_orbit": 58, "hecke_orbit_code": 256705178793681029, "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": false, "label": "8325.2.a.cf", "level": 8325, "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": [3, 5, 37], "level_radical": 555, "minimal_twist": "1665.2.a.o", "nf_label": "5.5.457904.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(\\beta _{1}+\\beta _{2})q^{4}+(\\beta _{2}-\\beta _{4})q^{7}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "8325.2.a", "trace_display": [2, 0, 0, 0], "trace_hash": 1547238778444465702, "trace_moments": [{"__RealLiteral__": 0, "data": "0.013", "prec": 17}, {"__RealLiteral__": 0, "data": "4.799", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "64.498", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1346.108", "prec": 27}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.010", "prec": 17}, "traces": [0, 5, 2, 0, 4, 0, 0, 0, 6, 0, 0, -12, 0, 3, -10, 0, -2, 4, 0, -8, 0, 0, -10, 18, 0, 0, -2, 0, 4, -13, 0, -16, 14, 0, -2, 0, 0, -5, 10, 0, 0, -6, 0, -5, -28, 0, -6, 19, 0, -3, 0, 0, -18, 5, 0, 0, 10, 0, -38, 1, 0, -2, 6, 0, 20, 0, 0, -12, -18, 0, 0, -30, 0, -12, -2, 0, 2, 10, 0, -12, 0, 0, -22, 19, 0, 0, -2, 0, -20, -11, 0, -30, -2, 0, 34, 0, 0, 0, -6, 0, 0, -16, 0, -7, 0, 0, -22, 31, 0, 4, 0, 0, -32, 0, 0, 0, -44, 0, 22, -2, 0, 23, -10, 0, -46, 0, 0, -10, -12, 0, 0, -18, 0, -10, -20, 0, -70, -15, 0, -51, 0, 0, 20, 14, 0, 0, 10, 0, -4, -34, 0, -25, -6, 0, 42, 0, 0, -18, -48, 0, 0, 2, 0, 8, 44, 0, -12, 0, 0, 4, 0, 0, -12, -5, 0, 0, -16, 0, 46, 15, 0, -35, -22, 0, 28, 0, 0, -30, 32, 0, 0, -40, 0, -35, -24, 0, -46, 30, 0, 22, 0, 0, -32, -16, 0, 0, 34, 0, 22, 14, 0, -29, 18, 0, 30, 0, 0, 6, -54, 0, 0, -28, 0, 10, -28, 0, -40, -20, 0, -13, 0, 0, -60, 34, 0, 0, 24, 0, 4, -3, 0, 2, -16, 0, 10, 0, 0, -8, -108, 0, 0, -35, 0, -12, 94, 0, -26, 6, 0, 0, 0, 0, -28, 53, 0, 0, 24, 0, -24, 48, 0, -49, -78, 0, 56, 0, 0, -34, -32, 0, 0, 41, 0, -18, 20, 0, -44, 76, 0, 29, 0, 0, -4, 10, 0, 0, -6, 0, 26, 48, 0, -8, -26, 0, 30, 0, 0, -26, -22, 0, 0, -3, 0, -1, 26, 0, -48, -43, 0, 6, 0, 0, -44, -10, 0, 0, 48, 0, 34, -20, 0, 22, 56, 0, 42, 0, 0, -8, -12, 0, 0, 80, 0, -72, 4, 0, -98, 20, 0, 21, 0, 0, -106, -32, 0, 0, 70, 0, 86, -26, 0, -69, 36, 0, 22, 0, 0, -64, -16, 0, 0, -16, 0, -86, 96, 0, 30, 31, 0, 1, 0, 0, -36, -44, 0, 0, 38, 0, -28, 41, 0, -18, -80, 0, 8, 0, 0, -12, -54, 0, 0, 39, 0, -38, -32, 0, -22, 12, 0, -70, 0, 0, 106, -14, 0, 0, 0, 0, -32, -14, 0, 48, -52, 0, 32, 0, 0, -46, -30, 0, 0, -16, 0, 38, 96, 0, -50, -42, 0, 32, 0, 0, 28, 39, 0, 0, -14, 0, 0, -6, 0, -54, -108, 0, 0, 0, 0, 5, 18, 0, 0, 63, 0, 21, -56, 0, -60, 4, 0, 42, 0, 0, 44, 38, 0, 0, 66, 0, 46, -41, 0, -3, 24, 0, 84, 0, 0, -83, -32, 0, 0, -26, 0, 44, -8, 0, -76, -50, 0, -28, 0, 0, -126, 86, 0, 0, -32, 0, 28, -54, 0, -22, -58, 0, 66, 0, 0, -56, 10, 0, 0, 50, 0, 56, -28, 0, 8, 86, 0, -11, 0, 0, -18, -136, 0, 0, -10, 0, -62, -20, 0, -44, -54, 0, 16, 0, 0, 15, 94, 0, 0, -12, 0, 36, 24, 0, -42, -2, 0, 31, 0, 0, -106, 12, 0, 0, -120, 0, 38, 12, 0, -20, 48, 0, 0, 0, 0, 36, 52, 0, 0, 68, 0, -92, -80, 0, -28, -42, 0, 38, 0, 0, 2, 5, 0, 0, 48, 0, -14, -120, 0, -27, 10, 0, 0, 0, 0, 18, -12, 0, 0, 5, 0, 56, 54, 0, -10, 52, 0, -28, 0, 0, -2, -62, 0, 0, -54, 0, 4, -4, 0, 12, -110, 0, 14, 0, 0, 81, 178, 0, 0, 20, 0, -13, 16, 0, -6, 66, 0, 0, 0, 0, -68, 18, 0, 0, -52, 0, -22, -14, 0, 56, -46, 0, 74, 0, 0, -24, 38, 0, 0, -124, 0, -42, -110, 0, -96, 23, 0, -86, 0, 0, 48, -2, 0, 0, 38, 0, 20, 17, 0, -15, -84, 0, 68, 0, 0, 30, -40, 0, 0, -37, 0, 8, -4, 0, -42, 94, 0, 0, 0, 0, 60, -80, 0, 0, 22, 0, 6, 34, 0, 46, -72, 0, 60, 0, 0, -134, 96, 0, 0, -40, 0, -130, -12, 0, 14, 88, 0, -15, 0, 0, -88, 50, 0, 0, -60, 0, 116, -44, 0, 18, 46, 0, 112, 0, 0, -13, -44, 0, 0, -32, 0, -18, -56, 0, 80, 11, 0, -106, 0, 0, 74, -54, 0, 0, -96, 0, 74, -10, 0, 28, 26, 0, -8, 0, 0, 22, 162, 0, 0, -52, 0, -8, 22, 0, -86, -22, 0, 8, 0, 0, 50, -46, 0, 0, -66, 0, -66, 149, 0, -26, 82, 0, 10, 0, 0, 8, 74, 0, 0, -34, 0, -66, 112, 0, 4, -76, 0, -116, 0, 0, 30, 68, 0, 0, 16, 0, 128, -58, 0, 62, 190, 0, -56, 0, 0, 16, 16, 0, 0, -18, 0, 23, -72, 0, 4, -66, 0, -30, 0, 0, 20, 3, 0, 0, 92, 0, 12, -2, 0, -16, 58, 0, 46, 0, 0, -16, 12, 0, 0, 78, 0, -94, -20, 0, -54, 116, 0, -178, 0, 0, 4, -4, 0, 0, 42, 0, 80, -10, 0, 4, 174, 0, -154, 0, 0, -11, -28, 0, 0, -61, 0, -88, 182, 0, -26, -34, 0, 32, 0, 0, 90, 18, 0, 0, -178, 0, 4, 116, 0, 0, 54, 0, -28, 0, 0, -56, 50, 0, 0, 98, 0, -78, 78, 0, -34, -50, 0, -62, 0, 0, 44, 66, 0, 0, 114, 0, -70, -44, 0, 113, 2, 0, 64, 0, 0, -24, 134, 0, 0, -54, 0, 36, -54, 0, 8, 26, 0, -98, 0, 0, 26, -22, 0, 0, 10, 0, 32, 8, 0, 50, -138, 0, 30, 0, 0, -10, 180, 0, 0, 148, 0, -60, -144, 0, 56, -32, 0, -7, 0, 0, -58, -50, 0, 0, -32, 0, 8, -46, 0, 80, 26, 0, -78, 0, 0, -62, 182, 0, 0, -43, 0, -76, -134, 0, -4, 90, 0, -54, 0, 0, 100, 48, 0, 0, 124, 0, 68, 96, 0, -36, 46, 0, 234, 0, 0, 0, -122, 0, 0, -18, 0, -10, -44, 0, 34, -146, 0, -35, 0, 0, -48, 13, 0, 0, -120, 0, 52, -87, 0, 42, 42, 0, -14, 0, 0, 177, -8, 0, 0, -8, 0, -115, -82, 0, 108, -68, 0, -28, 0, 0, 6, -14, 0, 0, 12, 0, 60, -34, 0, 92, 28, 0, 52, 0, 0, 40, -16, 0, 0, 20, 0, 19, -72, 0, -130, 0, 0, -98, 0, 0, -30, -78, 0, 0, 168, 0, 152, -32, 0, -52, 88, 0, 118, 0, 0, 16, -34, 0, 0, 2, 0, -3, -88, 0, 38, -29, 0, -6, 0, 0, -50, -5, 0, 0, 100, 0, -24, 78, 0, 140, 30, 0, -38, 0, 0, 48, -90, 0, 0, -20, 0, -80, -14, 0, 182, -25, 0, 18, 0, 0, 82, 63, 0, 0, -76, 0, -38, 74, 0, 84, -66, 0, -14, 0, 0, -116, -26, 0, 0, 68, 0, 25, 72, 0, -24, -77, 0, 16, 0, 0, -30, 108, 0, 0, 80, 0, -96, -35, 0, 36, 116, 0, 78, 0, 0, 46, 96, 0, 0, 118, 0, 38, -170, 0, -18, 3, 0, -121, 0, 0, -28, -186, 0, 0, 114, 0, 2, 20, 0, 46, 132, 0, -170, 0, 0, 4, -106, 0, 0, -46, 0, 4, 110, 0, 218, -52, 0, -9, 0, 0, 82, 39, 0, 0, -46, 0, 88, 132, 0, 43, -38, 0, -40, 0, 0, 41, -126, 0, 0, -49, 0, -3, -188, 0, -52, 41, 0, -46, 0, 0, 44, -112, 0, 0, -8, 0, -134, 38, 0, 21, 138, 0, 162, 0, 0, 16, -44, 0, 0, -48, 0, 6, -24, 0, 54, 32, 0, -153, 0, 0, 144, 148, 0, 0, -156, 0, 88, 80, 0, -20, -132, 0, 36, 0, 0, 0, -106, 0, 0, -23, 0, -115, 278, 0, 84, -42, 0, 5, 0, 0, 84, -31, 0, 0, -40, 0, 142, 108, 0, 145, -98, 0, -106, 0, 0, 34, -24, 0, 0, 139, 0, -30, -168, 0, 130, -86, 0, 63, 0, 0, 130, -60, 0, 0, -10, 0, 106, -2, 0, 14, -106, 0, 94, 0, 0, 180, 52, 0, 0, 165, 0, 35, 190, 0, 48, -15, 0, -10, 0, 0, 60, -73, 0, 0, 16, 0, -50, -40, 0, 98, 22, 0, -66, 0, 0, 42, 122, 0, 0, -37, 0, -6, -96, 0, 32, -36, 0, -51, 0, 0, 26, 22, 0, 0, -138, 0, -120, 114, 0, -133, 90, 0, 48, 0, 0, 108, -136, 0, 0, -84, 0, -86, 56, 0, -90, 57, 0, -99, 0, 0, -72, -194, 0, 0, 148, 0, -16, 154, 0, -24, -198, 0, 74, 0, 0, -76, -2, 0, 0, 109, 0, -48, -194, 0, 22, 6, 0, 10, 0, 0, 26, -14, 0, 0, -84, 0, 12, 228, 0, -136, 16, 0, -32, 0, 0, 141, -6, 0, 0, -10, 0, 10, 104, 0, 4, -186, 0, -26, 0, 0, -34, 73, 0, 0, -54, 0, 76, -109, 0, 176, -116, 0, -8, 0, 0, 7, 52, 0, 0, 123, 0, -27, -2, 0, 226, -50, 0, 6, 0, 0, -24, 144, 0, 0, 194, 0, 68, 160, 0, 5, -60, 0, -94, 0, 0, -17, -26, 0, 0, 142, 0, 72, -46, 0, 98, -56, 0, -14, 0, 0, 76, -160, 0, 0, -160, 0, -38, -46, 0, 41, -274, 0, 138, 0, 0, -74, 28, 0, 0, 108, 0, -122, -18, 0, -10, -92, 0, 106, 0, 0, 150, -198, 0, 0, -32, 0, 114, 160, 0, 80, -48, 0, -82, 0, 0, 133, 28, 0, 0, -28, 0, 53, -68, 0, 56, -50, 0, -97, 0, 0, -32, -6, 0, 0, -48, 0, -46, -120, 0, 167, 246, 0, 58, 0, 0, 44, -6, 0, 0, 68, 0, -38, -146, 0, 148, -134, 0, -73, 0, 0, 6, 140, 0, 0, 6, 0, 104, -92, 0, -79, 16, 0, -174, 0, 0, 68, -320, 0, 0, 23, 0, 70, 104, 0, -84, 162, 0, 38, 0, 0, -16, 72, 0, 0, -48, 0, 316, -19, 0, 80, -66, 0, 14, 0, 0, 49, 20, 0, 0, -60, 0, -75, 82, 0, 8, 12, 0, -138, 0, 0, 132, -70, 0, 0, -192, 0, -54, 196, 0, 74, -96, 0, 40, 0, 0, -90, 2, 0, 0, -51, 0, 10, 34, 0, 2, 43, 0, -160, 0, 0, 120, 44, 0, 0, 110, 0, 168, 46, 0, 189, -200, 0, -154, 0, 0, 25, -142, 0, 0, 71, 0, 3, 18, 0, -36, -62, 0, -36, 0, 0, 74, -112, 0, 0, 80, 0, 194, -34, 0, -132, -184, 0, -26, 0, 0, 102, 112, 0, 0, -112, 0, -24, 26, 0, 42, 91, 0, -184, 0, 0, -198, -154, 0, 0, -110, 0, -16, 44, 0, -117, -40, 0, 198, 0, 0, 41, 32, 0, 0, -116, 0, 170, -156, 0, -40, -47, 0, 116, 0, 0, 202, 96, 0, 0, -32, 0, 16, -16, 0, -116, 42, 0, -8, 0, 0, 52, 72, 0, 0, -16, 0, 28, -44, 0, 40, -22, 0, 38, 0, 0, 168, -16, 0, 0, -110, 0, 4, 0, 0, 132, 166, 0, 18, 0, 0, -62, 98, 0, 0, -42, 0, -88, -24, 0, 56, -96, 0, -64, 0, 0, 74, -10, 0, 0, 116, 0, -88, -78, 0, 59, 190, 0, 180, 0, 0, 48, -140, 0, 0, -5, 0, -51, 8, 0, 110, 80, 0, -50, 0, 0, 192, -57, 0, 0, -14, 0, -12, 158, 0, 64, 100, 0, -10, 0, 0, 0, -68, 0, 0, 88, 0, 11, 264, 0, 136, 175, 0, 16, 0, 0, -16, 172, 0, 0, -58, 0, -68, -158, 0, 66, 144, 0, 72, 0, 0, -111, 94, 0, 0, -19, 0, 36, 48, 0, 138, 102, 0, -34, 0, 0, 260, -32, 0, 0, -148, 0, -8, -172, 0, 116, 104, 0, 54, 0, 0, -124, -114, 0, 0, 144, 0, 100, 86, 0, 146, -38, 0, 32, 0, 0, 6, 106, 0, 0, 154, 0, -164, 32, 0, -62, -10, 0, -186, 0, 0, 86, 110, 0, 0, -110, 0, -220, 120, 0, 120, 30, 0, -54, 0, 0, 82, -68, 0, 0, 110, 0, 140, -90, 0, 220, 0, 0, 232, 0, 0, 9, 200, 0, 0, -78, 0, -76, -2, 0, -158, 78, 0, 8, 0, 0, 54, 8, 0, 0, -296, 0, 56, -117, 0, -48, 78, 0, 228, 0, 0, 128, 62, 0, 0, 37, 0, 148, -134, 0, 38, -40, 0, -80, 0, 0, -190, -9, 0, 0, 224, 0, 6, 6, 0, -30, 50, 0, -26, 0, 0, -196, -104, 0, 0, -100, 0, 106, 6, 0, 42, -4, 0, 77, 0, 0, -132, -1, 0, 0, -194, 0, 22, 16, 0, 104, 238, 0, 60, 0, 0, 105, 56, 0, 0, -38, 0, 15, -48, 0, -10, 272, 0, -110, 0, 0, 98, -116, 0, 0, 80, 0, 20, -136, 0, 10, 196, 0, 62, 0, 0, -200, 88, 0, 0, -40, 0, -46, -172, 0, 10, 18, 0, -124, 0, 0, -18, -16, 0, 0, 142, 0, -48, -11, 0, -40, -130, 0, 60, 0, 0, 2, -40, 0, 0, 8, 0, 108, 44, 0, -76, -59, 0, -20, 0, 0, 22, 65, 0, 0, 82, 0, 100, -31, 0, 82, 96, 0, 150, 0, 0, 64, -102, 0, 0, 194, 0, 96, -6, 0, -154, -155, 0, -62, 0, 0, 70, -21, 0, 0, -70, 0, -218, 105, 0, -42, 16, 0, 90, 0, 0, 178, 26, 0, 0, 224, 0, -66, -24, 0, -70, 217, 0, -114, 0, 0, -96, 10, 0, 0, 54, 0, 124, -35, 0, 62, 212, 0, 30, 0, 0, -86, 10, 0, 0, -237, 0, -37, -248, 0, -4, -257, 0, 116, 0, 0, -168, -210, 0, 0, -16, 0, -20, -128, 0, -27, 164, 0, -192, 0, 0, 96, -194, 0, 0, 48, 0, -100, 128, 0, 26, -6, 0, -336, 0, 0, 42, 79, 0, 0, -184, 0, 4, -25, 0, 41, -50, 0, -298, 0, 0, -57, 14, 0, 0, 27, 0, 114, -180, 0, -2, 129, 0, -48, 0, 0, -34, 156, 0, 0, 46, 0, 244, -208, 0, -68, 38, 0, -52, 0, 0, 93, -12, 0, 0, -244, 0, -24, -62, 0, 192, 64, 0, 110, 0, 0, 124, 150, 0, 0, -330, 0, 10, 91, 0, 188, -212, 0, 24, 0, 0, 94, -46, 0, 0, -138, 0, 59, 278, 0, 12, -84, 0, 12, 0, 0, -8, 52, 0, 0, 184, 0, -300, 8, 0, -29, -42, 0, 96, 0, 0, 248, -202, 0, 0, 122, 0, -80, -168, 0, -66, 174, 0, -59, 0, 0, 204, 28, 0, 0, 18, 0, 114, 28, 0, 44, 280, 0, 140, 0, 0, 44, -34, 0, 0, 72, 0, -162, 86, 0, -152, 17, 0, 12, 0, 0, 156, -55, 0, 0, -8, 0, -66, -94, 0, 50, 272, 0, 96, 0, 0, 190, 22, 0, 0, -176, 0, -44, 4, 0, -68, 28, 0, -10, 0, 0, -172, -136, 0, 0, -86, 0, 44, 44, 0, -15, 66, 0, 26, 0, 0, 164, 52, 0, 0, -190, 0, -142, 14, 0, -118, 105, 0, 62, 0, 0, -194, 86, 0, 0, -22, 0, -104, -31, 0, 110, -280, 0, 28, 0, 0, -86, 90, 0, 0, -88, 0, -60, -112, 0, -90, 30, 0, -82, 0, 0, -18, 70, 0, 0, -72, 0, 112, -116, 0, 70, -290, 0, 50, 0, 0, 51, 326, 0, 0, -6, 0, 76, -92, 0, 88, -177, 0, 22, 0, 0, 174, 73, 0, 0, -60, 0, -52, -282, 0, -96, 18, 0, 96, 0, 0, -189, -22, 0, 0, 56, 0, -146, 6, 0, 96, 66, 0, 187, 0, 0, -156, 40, 0, 0, 266, 0, -80, 199, 0, 12, 52, 0, -72, 0, 0, -177, 150, 0, 0, -156, 0, 28, 38, 0, 202, -72, 0, 2, 0, 0, -94, -188, 0, 0, -254, 0, 348, 54, 0, 95, -40, 0, 8, 0, 0, -96, 2, 0, 0, 104, 0, -31, 126, 0, 58, 22, 0, -90, 0, 0, 6, 72, 0, 0, -58, 0, -98, -118, 0, 194, -80, 0, 68, 0, 0, 67, -262, 0, 0, 208, 0, 47, -48, 0, -16, -128, 0, 68, 0, 0, -126, 58, 0, 0, -96, 0, 74, -53, 0, -131, 260, 0, -322, 0, 0, 31, -62, 0, 0, -98, 0, -162, 138, 0, 92, -160, 0, 0, 0, 0, -2, 332, 0, 0, -8, 0, 22, -114, 0, 36, -154, 0, -272, 0, 0, -234, -28, 0, 0, 94, 0, -48, 44, 0, 140, 205, 0, -74, 0, 0, 246, -144, 0, 0, -70, 0, 184, -10, 0, -178, -50, 0, 104, 0, 0, 29, 244, 0, 0, 78, 0, -82, 302, 0, 2, -26, 0, 24, 0, 0, -34, 92, 0, 0, 12, 0, -96, 88, 0, 30, -80, 0, -134, 0, 0, -98, -68, 0, 0, -43, 0, -108, 164, 0, 224, 119, 0, -140, 0, 0, -306, 122, 0, 0, 260, 0, -178, -65, 0, -26, -206, 0, -138, 0, 0, 43, -48, 0, 0, -128, 0, 12, 8, 0, -86, 186, 0, -10, 0, 0, -140, -124, 0, 0, -266, 0, 94, -32, 0, 132, -236, 0, -62, 0, 0, -162, 106, 0, 0, -160, 0, 50, 118, 0, -118, -27, 0, 46, 0, 0, 50, -84, 0, 0, -82, 0, 100, -82, 0, -101, -142, 0, 174, 0, 0, -217, 28, 0, 0, -20, 0, 62, -170, 0, -90, -155, 0, 208, 0, 0, 350, 98, 0, 0, 12, 0, 56, -134, 0], "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, 1, 0, 0, 0], [0, 0, 0, 0, 0], [0, 1, 1, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 1, 0, -1], [0, 1, 2, 1, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-2, 0, 0, 1, -1], [0, 0, 0, 0, 0], [1, -1, -1, 1, 1], [-2, 1, 0, 0, -1], [0, 0, 0, 0, 0], [-2, 2, 1, 1, 1], [2, -1, -2, -2, 0], [0, 0, 0, 0, 0], [-2, 1, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, -4, -1, -2, 0], [4, -1, 0, 1, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, -2, -1, -1, 2], [0, 0, 0, 0, 0], [2, -2, -2, -1, 1], [-1, -4, -2, -1, 2], [0, 0, 0, 0, 0], [-2, 1, -2, -1, -2], [2, 0, 0, -1, 2], [0, 0, 0, 0, 0], [2, -1, -3, 0, -2], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-1, 0, 0, 0, 0], [2, -1, 1, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-2, 0, 3, -2, -1], [0, 0, 0, 0, 0], [-1, 0, 0, 1, 0], [-2, -4, -5, -1, 0], [0, 0, 0, 0, 0], [-2, 2, -1, -1, 1], [3, 2, 0, 0, 0], [0, 0, 0, 0, 0], [1, -3, -4, -1, 3], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-4, 1, 1, 0, -1], [1, -3, 0, -1, 3], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [4, -4, -3, 0, 2], [0, 0, 0, 0, 0], [-4, -6, -4, 1, 1], [-1, 2, 1, 1, 0], [0, 0, 0, 0, 0], [0, -3, -2, -3, 4], [6, -6, -3, -3, -3], [0, 0, 0, 0, 0], [4, 1, 0, 1, -1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-2, 0, 1, 1, -2], [0, -5, -2, -1, -2], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-8, 2, 1, 1, 2], [0, 0, 0, 0, 0], [-2, 0, -2, -3, 1], [0, -1, 0, 0, 0], [0, 0, 0, 0, 0], [0, 1, 0, 1, 0], [2, 1, -3, 2, 2], [0, 0, 0, 0, 0], [0, -4, -2, -3, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-6, 5, 2, 4, -3], [3, 0, 3, -1, -1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, -2, 0, -1, 1], [0, 0, 0, 0, 0], [2, -7, -7, 0, -1], [-5, 3, 1, -1, 3], [0, 0, 0, 0, 0], [-8, 3, 6, 3, -4], [-2, 2, 2, -1, 0], [0, 0, 0, 0, 0], [4, 5, 2, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [2, -6, -5, -4, 6], [2, -6, -4, 0, 2], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]]}