# Stored data for newform 9747.2.a.bm, downloaded from the LMFDB on 17 September 2025.
{"Nk2": 38988, "analytic_conductor": 77.83018685014198, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [19, -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": [9747, 1, [6860, 2890], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 54265221, "field_disc_factorization": [[3, 4], [31, 1], [21611, 1]], "field_poly": [-3, -3, 12, 4, -7, -1, 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, [-3, 3, 12, -4, -7, 1, 1]], [5, [9, -48, 9, 36, -5, -5, 1]], [7, [3, 33, 98, 34, -27, -1, 1]], [13, [-39, 126, 145, -127, -30, 5, 1]]], "hecke_orbit": 39, "hecke_orbit_code": 171136785873643027, "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": "9747.2.a.bm", "level": 9747, "level_is_powerful": true, "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, 19], "level_radical": 57, "minimal_twist": "513.2.f.f", "nf_label": "6.6.54265221.1", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+(\\beta _{1}+\\beta _{2})q^{4}+(1+\\beta _{5})q^{5}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "9747.2.a", "trace_display": [-1, 0, 5, 1], "trace_hash": 2193551641760506515, "trace_moments": [{"__RealLiteral__": 0, "data": "0.101", "prec": 17}, {"__RealLiteral__": 0, "data": "5.779", "prec": 17}, {"__RealLiteral__": 0, "data": "1.946", "prec": 17}, {"__RealLiteral__": 0, "data": "92.188", "prec": 20}, {"__RealLiteral__": 0, "data": "57.611", "prec": 20}, {"__RealLiteral__": 0, "data": "2282.052", "prec": 27}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.004", "prec": 17}, "traces": [0, 6, -1, 0, 3, 5, 0, 1, -6, 0, 1, 2, 0, -5, -2, 0, -3, 10, 0, 0, 1, 0, -4, 3, 0, 5, 1, 0, 2, 6, 0, 2, -8, 0, 4, 3, 0, -13, 0, 0, -6, 13, 0, 3, -20, 0, 5, 18, 0, 13, 3, 0, -22, 1, 0, 6, 24, 0, 14, -11, 0, 13, 22, 0, 0, -36, 0, 9, 5, 0, -30, 6, 0, 15, 43, 0, 0, 29, 0, -13, 1, 0, -4, 8, 0, 3, 7, 0, 15, -29, 0, 22, 21, 0, -18, 0, 0, 20, 59, 0, -44, -10, 0, -8, 54, 0, -17, 28, 0, -5, -36, 0, 5, 8, 0, 5, -24, 0, 4, -2, 0, -8, -54, 0, -32, 42, 0, 12, 18, 0, 6, 42, 0, 0, 2, 0, 21, 24, 0, 25, -27, 0, -51, 11, 0, -1, 20, 0, -2, 24, 0, 40, 0, 0, -1, 38, 0, -4, -70, 0, -40, 55, 0, 25, 8, 0, 10, 13, 0, 7, 42, 0, -24, 5, 0, 4, 43, 0, 44, -55, 0, 25, 37, 0, 3, -43, 0, -37, 60, 0, 0, 27, 0, 15, -9, 0, -25, 16, 0, 47, 33, 0, -6, -59, 0, -20, 42, 0, -34, 0, 0, -13, 77, 0, 47, -53, 0, 54, 75, 0, -21, 28, 0, -47, -58, 0, 38, 51, 0, -32, -23, 0, 21, 14, 0, -21, -94, 0, 4, 54, 0, -23, 9, 0, 35, 106, 0, 0, 45, 0, -12, -13, 0, 5, -50, 0, -9, 51, 0, -12, -18, 0, -20, 43, 0, -9, 0, 0, 21, 43, 0, -33, -82, 0, -12, 56, 0, -24, -12, 0, 81, -39, 0, -8, 30, 0, 35, 0, 0, -14, 76, 0, -21, -69, 0, -9, 30, 0, 111, 1, 0, 23, 32, 0, 0, 29, 0, 30, -32, 0, -17, -28, 0, -61, 28, 0, 10, -40, 0, -46, 23, 0, 76, 0, 0, -29, 92, 0, -12, -51, 0, -47, 28, 0, 1, 77, 0, 61, -70, 0, -24, 51, 0, -34, 18, 0, -14, -23, 0, 65, -104, 0, -11, 105, 0, 30, -52, 0, -86, 109, 0, 0, 18, 0, 11, 32, 0, -7, -9, 0, 70, 1, 0, -32, -7, 0, -84, 28, 0, -67, 0, 0, -27, 16, 0, 144, -110, 0, 58, -3, 0, 7, -6, 0, -75, -21, 0, -13, 100, 0, 10, 2, 0, 9, 64, 0, -68, -81, 0, 9, 5, 0, -76, -59, 0, 29, 35, 0, 0, 72, 0, -9, 10, 0, -33, -8, 0, 8, 5, 0, -19, -70, 0, 55, 6, 0, -40, 0, 0, 44, 105, 0, -110, -28, 0, 4, 104, 0, -56, 16, 0, 0, -77, 0, -27, 75, 0, 31, -11, 0, -8, -3, 0, -30, -93, 0, -65, 100, 0, 64, 27, 0, 66, 46, 0, 0, 20, 0, 39, 14, 0, 60, -71, 0, -97, 70, 0, -30, 9, 0, 68, 23, 0, 85, 0, 0, -20, 90, 0, 4, -105, 0, -88, 44, 0, -11, -10, 0, -12, -34, 0, -59, 68, 0, -58, 35, 0, -69, 72, 0, 60, -46, 0, 66, 27, 0, -11, 0, 0, -57, 27, 0, 0, 21, 0, 37, -36, 0, -17, -30, 0, 79, 9, 0, -10, -85, 0, -3, 96, 0, -70, 0, 0, 32, 89, 0, 149, 50, 0, 74, 87, 0, -49, 74, 0, -102, -84, 0, 39, -21, 0, -50, 4, 0, 24, -37, 0, -54, -36, 0, -20, 132, 0, -103, 42, 0, 91, 105, 0, 0, 24, 0, -128, 9, 0, -54, -21, 0, 61, 30, 0, -5, 59, 0, 17, 62, 0, 1, 0, 0, -5, -45, 0, -93, -135, 0, 9, 7, 0, -40, -83, 0, 136, 15, 0, 44, 39, 0, 91, 72, 0, 20, 51, 0, -88, -65, 0, -99, -13, 0, 141, -124, 0, -21, 29, 0, 0, 60, 0, 59, -68, 0, -43, 43, 0, -83, -10, 0, 12, -100, 0, 18, 37, 0, 111, 0, 0, -69, 86, 0, -68, -17, 0, -70, 36, 0, 104, 30, 0, 7, -54, 0, -60, 90, 0, 24, -85, 0, 15, -23, 0, 42, -20, 0, 94, 41, 0, 27, -20, 0, -100, 97, 0, 0, -40, 0, -32, 1, 0, 34, -66, 0, 111, 44, 0, 45, 100, 0, -36, -22, 0, -163, 0, 0, -49, 32, 0, 65, -87, 0, 115, -19, 0, 63, -60, 0, -86, 56, 0, -26, 13, 0, 70, 4, 0, 54, 72, 0, 7, -24, 0, 52, -3, 0, -203, 52, 0, 65, -82, 0, 0, -44, 0, -43, 90, 0, 63, 64, 0, -13, 21, 0, 39, -37, 0, 118, -33, 0, -30, 0, 0, 42, 58, 0, -109, 8, 0, 1, 68, 0, -54, 149, 0, -7, -51, 0, -71, -38, 0, 39, -30, 0, -62, -79, 0, 84, -45, 0, -51, 125, 0, 13, 11, 0, 0, 139, 0, 0, 34, 0, 32, 33, 0, -42, -84, 0, -140, -52, 0, -20, 25, 0, 1, 63, 0, 177, 0, 0, 70, -72, 0, -6, -61, 0, -95, 13, 0, 29, -55, 0, 1, 29, 0, 21, -40, 0, -99, -11, 0, 31, 35, 0, 98, -54, 0, 50, -85, 0, -24, 31, 0, -104, -9, 0, 0, 87, 0, 26, -78, 0, 36, -9, 0, 122, 77, 0, -49, -52, 0, -136, 59, 0, -79, 0, 0, -22, 18, 0, 212, -22, 0, 73, 24, 0, 138, 89, 0, -42, -12, 0, 117, -10, 0, -45, -26, 0, -22, 2, 0, -150, 36, 0, 51, 15, 0, -125, 7, 0, 70, 28, 0, 0, -47, 0, -69, 6, 0, -8, 10, 0, 105, 59, 0, 4, 11, 0, 46, -39, 0, 25, 0, 0, 33, 21, 0, -153, 21, 0, 108, -96, 0, -40, -159, 0, 152, 28, 0, 135, 84, 0, 29, 18, 0, 8, 104, 0, 2, 21, 0, -36, -100, 0, 178, 2, 0, -7, -86, 0, 0, 6, 0, -37, -82, 0, 39, 74, 0, -157, -108, 0, 129, -106, 0, -26, -62, 0, 173, 0, 0, -25, -4, 0, -14, 170, 0, -168, -24, 0, 121, 64, 0, 65, -92, 0, -72, -52, 0, 59, -54, 0, 37, -92, 0, 29, 39, 0, 114, 65, 0, 116, 51, 0, -125, -39, 0, 0, -37, 0, -69, 113, 0, 86, -4, 0, 42, -16, 0, 63, 139, 0, 42, 2, 0, -50, 0, 0, -3, -67, 0, 125, 5, 0, 72, 86, 0, -65, 59, 0, -165, 90, 0, -9, 11, 0, 0, 147, 0, -13, 64, 0, 64, -9, 0, -83, -176, 0, -216, -91, 0, 111, -71, 0, 0, 85, 0, -93, -7, 0, -39, 35, 0, -70, -117, 0, 8, -77, 0, 99, -7, 0, -93, 0, 0, 44, -36, 0, -203, 7, 0, 15, -42, 0, 14, 31, 0, 111, 42, 0, 6, -65, 0, 60, -46, 0, -108, -108, 0, -10, 33, 0, -99, 12, 0, 36, 48, 0, 5, 78, 0, 0, -87, 0, 141, 109, 0, 59, 26, 0, -171, 157, 0, -70, 15, 0, 82, -144, 0, 18, 0, 0, -57, 7, 0, -153, 14, 0, -213, -21, 0, 19, -78, 0, 3, 86, 0, 21, -31, 0, -222, -29, 0, -51, 50, 0, 46, 90, 0, 15, -90, 0, -41, 39, 0, 9, -44, 0, 0, -35, 0, 61, -38, 0, 72, 130, 0, 203, -81, 0, 99, -94, 0, -54, -26, 0, -10, 0, 0, 115, 75, 0, 135, 166, 0, 127, -41, 0, 3, -18, 0, -56, -48, 0, 100, -96, 0, -66, -72, 0, -3, -139, 0, -83, 37, 0, 76, 87, 0, -127, 25, 0, 62, -32, 0, 0, -168, 0, 28, 54, 0, 4, -97, 0, 58, -101, 0, 53, 202, 0, -57, 4, 0, 70, 0, 0, 57, -189, 0, -55, 5, 0, 104, 45, 0, 6, -51, 0, 182, 158, 0, 56, -22, 0, 16, -50, 0, 63, 63, 0, 48, 50, 0, -3, -147, 0, 164, -155, 0, -1, -182, 0, 0, 108, 0, 1, -31, 0, -81, 81, 0, -127, -41, 0, 25, -19, 0, -30, -50, 0, 122, 0, 0, -37, -123, 0, 38, 57, 0, -149, -14, 0, 12, 0, 0, 30, -57, 0, -84, -48, 0, 59, -12, 0, -14, 16, 0, 180, 47, 0, 55, -100, 0, 154, 109, 0, -51, -40, 0, 0, 44, 0, 37, -108, 0, -36, -30, 0, 88, -38, 0, -67, 189, 0, -146, -11, 0, -190, 0, 0, -3, -156, 0, 180, 21, 0, 70, -193, 0, 71, -106, 0, -69, 115, 0, -101, -133, 0, 67, -21, 0, -63, 48, 0, -150, 75, 0, 0, -85, 0, -122, 129, 0, 37, -232, 0, 0, -136, 0, -81, -93, 0, 66, 5, 0, 28, 84, 0, -100, -150, 0, 148, -74, 0, -58, 0, 0, 1, 2, 0, -116, 248, 0, 18, -75, 0, -79, 166, 0, -63, 76, 0, -78, -15, 0, 21, 53, 0, -74, -97, 0, 64, 156, 0, -124, 50, 0, 63, 9, 0, -9, 150, 0, 0, -139, 0, 30, 102, 0, -60, 164, 0, -64, -83, 0, 60, 168, 0, 73, 4, 0, 163, 0, 0, -61, -101, 0, 42, 77, 0, -90, -161, 0, -9, -100, 0, -197, 135, 0, -5, -46, 0, -153, 87, 0, 75, -36, 0, -76, 85, 0, -20, -184, 0, -65, -104, 0, -169, -198, 0, 0, 101, 0, -99, 21, 0, 17, 22, 0, 61, -113, 0, -68, -25, 0, 14, -144, 0, -66, 0, 0, 3, -30, 0, 212, 74, 0, 84, 23, 0, -59, 72, 0, 22, 39, 0, 106, -117, 0, -40, 24, 0, 86, -161, 0, -98, 259, 0, -52, -61, 0, -107, 75, 0, 147, -35, 0, 0, 7, 0, -195, -20, 0, -62, -66, 0, 99, 102, 0, -60, 120, 0, -37, -45, 0, 69, 0, 0, 18, -97, 0, -111, -21, 0, 63, -102, 0, -195, -160, 0, 89, 94, 0, 53, -88, 0, 196, -72, 0, -10, -33, 0, -140, 87, 0, -28, -237, 0, 183, 136, 0, -49, -138, 0, 0, -105, 0, 110, 6, 0, -78, -60, 0, -187, -38, 0, -54, 2, 0, -62, 99, 0, 71, 0, 0, -35, -121, 0, -52, 150, 0, -71, -13, 0, 160, 56, 0, 195, 5, 0, -89, -129, 0, 127, 14, 0, 73, -198, 0, -11, 236, 0, 90, 116, 0, 144, 67, 0, -55, -27, 0, 0, -119, 0, 71, 26, 0, -63, 60, 0, 91, 12, 0, 143, 184, 0, -85, -76, 0, -166, 0, 0, -99, -139, 0, 52, -47, 0, 124, -31, 0, -30, -153, 0, -100, 62, 0, -26, -25, 0, 75, 22, 0, -49, -8, 0, 100, 51, 0, 173, -133, 0, -115, -216, 0, 60, -51, 0, 0, 16, 0, 98, -95, 0, 52, 105, 0, 23, -112, 0, -53, -101, 0, -49, 22, 0, -39, 0, 0, -133, -65, 0, 28, 53, 0, 70, -251, 0, -21, -28, 0, -33, 12, 0, -197, 14, 0, 86, -39, 0, 38, 30, 0, 82, 90, 0, 92, -17, 0, 65, 73, 0, 64, -206, 0, 0, -159, 0, 117, 48, 0, -93, -64, 0, -84, 5, 0, -144, 141, 0, 48, -168, 0, 26, 0, 0, 60, -139, 0, -63, 185, 0, -84, -120, 0, -113, -34, 0, -43, 68, 0, -172, -198, 0, -197, 43, 0, -150, 38, 0, 158, 148, 0, -52, -55, 0, -31, 33, 0, -162, -308, 0, 0, -1, 0, 144, 23, 0, 14, 151, 0, 170, -81, 0, -147, -50, 0, -88, -167, 0, -36, 0, 0, 35, -97, 0, 231, 353, 0, 75, -165, 0, -55, 77, 0, -65, -82, 0, 53, -27, 0, -203, -37, 0, 42, -150, 0, -210, 104, 0, -93, 55, 0, -132, -18, 0, -27, -36, 0, 0, -48, 0, -45, 105, 0, -102, -173, 0, 66, -119, 0, -60, 43, 0, 68, 53, 0, 8, 0, 0, 73, -144, 0, -109, 177, 0, -10, -128, 0, 67, -96, 0, 151, 46, 0, 87, -132, 0, -10, 168, 0, 76, -21, 0, -112, 106, 0, -229, -170, 0, 165, -67, 0, 97, -224, 0, 0, 45, 0, -157, -34, 0, 62, -9, 0, -46, 15, 0, 29, -20, 0, -7, -174, 0, 12, 0, 0, -207, -89, 0, -4, -48, 0, -84, -114, 0, 2, -77, 0, 7, 36, 0, 16, -46, 0, 164, 80, 0, 51, -70, 0, -105, 49, 0, 132, -62, 0, 27, 124, 0, 15, 16, 0, 0, -111, 0, -115, -8, 0, 122, 58, 0, -9, -2, 0, 22, -53, 0, -3, 87, 0, -92, 0, 0, 93, -86, 0, 145, 42, 0, 1, -138, 0, 18, -113, 0, -156, 74, 0, -157, 57, 0, 64, 99, 0, 37, 60, 0, 18, 246, 0, -165, -180, 0, -23, 31, 0, 75, -254, 0, 0, -201, 0, -131, -48, 0, -61, 72, 0, -10, -241, 0, 62, 80, 0, 175, -164, 0, -191, 0, 0, 60, -84, 0, -204, 183, 0, -123, -9, 0, -141, 50, 0, -32, -12, 0, 5, -215, 0, -95, -66, 0, -81, -245, 0, 12, 240, 0, -57, 84, 0, -141, 94, 0, 159, -66, 0, 0, -54, 0, 222, -33, 0, 1, 120, 0, -85, -83, 0, -64, 222, 0, 201, 39, 0, 188, 0, 0, -26, -284, 0, -36, -15, 0, -122, -14, 0, 78, -117, 0, -144, 98, 0, 19, 17, 0, -82, 68, 0, 20, 7, 0, 26, 56, 0, 104, -159, 0, 52, -137, 0, 17, -135, 0, 0, 97, 0, 88, -122, 0, -3, -96, 0, 33, 46, 0, 14, -48, 0, -130, -19, 0, -36, 0, 0, 14, -87, 0, -77, -97, 0, 9, -81, 0, -99, 28, 0, 91, 54, 0, 199, -100, 0, -67, -30, 0, 59, 93, 0, -18, 10, 0, 123, -61, 0, -31, -2, 0, -9, -37, 0, 0, -119, 0, 67, -90, 0, -24, 136, 0, -93, 212, 0, 133, 156, 0, -252, -131, 0, 178, 0, 0, -104, 18, 0, 59, 27, 0, -78, -183, 0, -84, 7, 0, 100, 13, 0, 212, 28, 0, 67, 74, 0, -126, 63, 0, 30, 159, 0, 71, 33, 0, 198, -27, 0, -157, -84, 0, 0, -13, 0, -139, 105, 0, -100, 119, 0, -39, -132, 0, 26, -197, 0, -151, 108, 0, 51, 0, 0, 23, -34, 0, 21, 215, 0, 114, -273, 0, -18, 159, 0, 193, 72, 0, -18, 154, 0, 25, 51, 0, 10, -225, 0, 178, 124, 0, -265, 69, 0, 20, -96, 0, -45, -53, 0, 0, -72, 0, 65, 202, 0, -24, -146, 0, -45, -242, 0, 33, 35, 0, -151, -146, 0, -34, 0, 0, -2, -241, 0, 99, 82, 0, -57, -5, 0, 81, -255, 0, -70, 150, 0, -69, -89, 0, 96, 6, 0, -49, -75, 0, 15, -51, 0, 28, -133, 0, -95, 27, 0, 45, -172, 0, 0, 227, 0, 96, -35, 0, 82, 121, 0, -142, 1, 0, -101, 90, 0, 294, 64, 0, -27, 0, 0, 165, 3, 0, -149, 29, 0, 144, 36, 0, 22, 10, 0, -61, -138, 0, -60, -8, 0, -49, 33, 0, 25, -46, 0, 183, 120, 0, -49, -133, 0, -64, 13, 0, -71, -144, 0, 0, 49, 0, 45, -90, 0, 186, -247, 0, 45, 59, 0, 72, 89, 0, 83, -11, 0, -85, 0, 0, 186, -59, 0, 47, -3, 0, 39, -216, 0, 6, -249, 0, -149, -43, 0, 54, -170, 0, -208, -57, 0, -68, 91, 0, -156, 143, 0, 180, -178, 0, -58, 170, 0, 97, -190, 0, 0, -234, 0, 12, -69, 0, 84, 84, 0, 13, 64, 0, -26, -51, 0, 110, -96, 0, 87, 0, 0, 56, -86, 0, 14, 153, 0, 68, -169, 0, -19, 80, 0, -144, 50, 0, 152, -65, 0, -103, -23, 0, 133, -156, 0, -39, 78, 0, 3, 240, 0, 54, 1, 0, 56, 208, 0, 0, 14, 0, -117, -62, 0, -36, 6, 0, 109, -130, 0, 41, -9, 0, -199, 76, 0, -124, 0, 0, -27, -127, 0, -54, -10, 0, -57, -57, 0, 78, 119, 0, 297, 17, 0, -58, -58, 0, 90, 2, 0, 27, -22, 0, -205, 0, 0, 31, -162, 0, 103, -229, 0, 0, -141, 0, 0, -61, 0, 128, -136, 0, 11, 43, 0, 19, -93, 0, 72, 214, 0, -125, -182, 0, -10, 0, 0, -73, -6, 0, -201, 90, 0, -165, 132, 0, 114, -39, 0, 37, 93, 0, 48, -119, 0, 157, -133, 0, 192, 163, 0, 102, 135, 0, 61, -50, 0, 89, -57, 0, -84, -50, 0, 0, -151, 0, -100, 115, 0, 16, -118, 0, -129, 225, 0, 132, 199, 0, 112, -81, 0, -153, 0, 0, -201, 108, 0, -149, 76, 0, 66, -59, 0, 147, -81, 0, 39, 53, 0, 34, -18, 0, 115, 87, 0, 91, -63, 0, 260, 49, 0, -30, -7, 0, -78, 129, 0, -17, -8, 0, 0, 29, 0, 38, -52, 0, 105, -38, 0, -33, -57, 0, 39, -88, 0, 14, 53, 0, -56, 0, 0, -20, -154, 0, 206, 322, 0, -107, 96, 0, 170, -19, 0, -288, 34, 0, -11, -210, 0, 30, -11, 0, -113, -221, 0, 181, 22, 0, 63, 135, 0, -154, 286, 0, 12, 72, 0, 0, 24, 0, 36, 66, 0, -30, 64, 0, -87, 32, 0, -78, 103, 0, -35, 123, 0, 83, 0, 0, 157, 9, 0, -31, -205, 0, 71, 89, 0, -21, 145, 0, -1, 143, 0, 171, 7, 0, -8, 142, 0, -12, 11, 0, 255, -75, 0, -124, 7, 0, -132, -198, 0, -159, 94, 0, 0, -9, 0, -76, 113, 0, -105, 161, 0, 226, -54, 0, -139, -132, 0, -180, 25, 0, 81, 0, 0, 169, -83, 0, 16, -81, 0, 34, -132, 0, 101, 21, 0, 146, -113, 0, 180, 284, 0, -153, -94, 0, -93, 78, 0, -204, 155, 0, -38, -152, 0, 166, -82, 0, -57, -105, 0, 0, 9, 0, -26, 100, 0, -80, 99, 0, 112, 13, 0, -6, 90, 0, -39, -189, 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, 0], [1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0], [1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0], [1, 0, 0, -1, 1, 0], [0, -1, -1, -1, 0, 0], [0, 0, 0, 0, 0, 0], [0, -1, 0, 0, -1, 0], [1, 0, -1, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, -1, -1, -1, 0, -1], [0, 0, 1, -1, 1, -1], [0, 0, 0, 0, 0, 0], [-1, 2, 0, 1, 1, 0], [2, -1, 0, -1, -1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 1, 1, 1, 0, -1], [0, 0, 0, 0, 0, 0], [-1, 1, 0, 0, 0, -1], [1, 0, 1, -1, 1, 0], [0, 0, 0, 0, 0, 0], [2, -1, -2, 0, 0, 2], [-1, 4, 2, 1, 2, 0], [0, 0, 0, 0, 0, 0], [0, -1, 1, 0, 0, -1], [1, -2, -1, 0, -2, 0], [0, 0, 0, 0, 0, 0], [2, -2, -1, -1, 1, 1], [-2, 0, -1, 1, -1, -1], [0, 0, 0, 0, 0, 0], [0, 0, 2, 1, 1, 1], [3, 1, -2, -2, 3, 0], [0, 0, 0, 0, 0, 0], [-2, -3, 1, -1, -1, -1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [1, -1, -2, -1, 2, 0], [2, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0], [1, -1, -1, 0, 1, -2], [-4, 0, 1, 0, -1, 0], [0, 0, 0, 0, 0, 0], [2, -2, 1, -2, 1, -1], [1, 2, 2, 1, -1, -1], [0, 0, 0, 0, 0, 0], [3, -4, 0, 0, -1, 3], [-2, 3, 1, 2, -2, 0], [0, 0, 0, 0, 0, 0], [-1, -6, -3, -2, -1, 0], [-1, 2, 3, -1, -1, 0], [0, 0, 0, 0, 0, 0], [4, 1, -2, -3, 2, 2], [4, -1, -1, 1, -1, 2], [0, 0, 0, 0, 0, 0], [0, 3, 2, 3, 0, 2], [-1, -2, -4, 1, -1, 0], [0, 0, 0, 0, 0, 0], [2, 3, 0, -1, -1, 1], [2, 3, 3, 0, 0, -1], [0, 0, 0, 0, 0, 0], [0, -1, -1, 0, -2, 1], [-5, 0, 0, -1, 2, -1], [0, 0, 0, 0, 0, 0], [2, 1, 1, 0, 2, 2], [2, -3, -1, -1, 0, -1], [0, 0, 0, 0, 0, 0], [-5, 2, 1, -1, 2, -3], [2, 3, 0, -2, 1, 1], [0, 0, 0, 0, 0, 0], [3, -3, -1, -1, -3, 1], [6, 4, 4, 0, 2, 1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [6, -1, -2, 0, -1, 4], [0, 0, 0, 0, 0, 0], [-2, 4, -1, -1, 0, 0], [1, 3, 0, -2, 1, 0], [0, 0, 0, 0, 0, 0], [0, -2, 0, 0, 1, 0], [4, -2, 1, -5, 0, 1], [0, 0, 0, 0, 0, 0], [0, -2, 0, 2, 0, 1], [1, 2, 1, 0, 2, -1], [0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 3], [-3, -4, -1, -2, -1, 1], [0, 0, 0, 0, 0, 0], [2, -2, 1, 2, -3, 2], [3, 0, 2, 0, 1, -1], [0, 0, 0, 0, 0, 0], [0, -8, -3, -1, 0, 1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [3, 1, 2, -1, -1, 2], [7, 1, 4, 1, -3, 1], [0, 0, 0, 0, 0, 0], [-8, -3, -1, 1, -2, -2]]}