# Stored data for newform 1050.3.l.e, downloaded from the LMFDB on 25 April 2024.
{"label": "1050.3.l.e", "space_label": "1050.3.l", "level": 1050, "weight": 3, "hecke_orbit": 5, "hecke_orbit_code": 18015154474058778, "dim": 8, "is_polredabs": true, "nf_label": "8.0.12745506816.1", "trace_hash": 954663912919008340, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [625, -160, -82, 16, 1]], [13, [1157776, -1377280, 819200, 131040, 20648, -6720, 800, -40, 1]]], "qexp_display": "q+(1+\\beta _{3})q^{2}-\\beta _{6}q^{3}+2\\beta _{3}q^{4}+(-\\beta _{1}+\\cdots)q^{6}+\\cdots", "char_order": 4, "char_parity": -1, "char_degree": 2, "char_conductor": 5, "char_orbit_label": "l", "char_is_real": false, "Nk2": 9450, "analytic_conductor": 28.610427757831175, "hecke_ring_index": 16, "level_radical": 210, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.249", "prec": 17}, "analytic_rank_proved": true, "char_values": [1050, 4, [701, 127, 451], [4, 3, 4]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [2, 3, 5, 7], "conrey_indexes": [43, 757], "field_disc": 12745506816, "field_disc_factorization": [[2, 16], [3, 4], [7, 4]], "field_poly": [1, 0, 0, 0, 23, 0, 0, 0, 1], "hecke_ring_index_factorization": [[2, 4]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.053", "prec": 17}, {"__RealLiteral__": 0, "data": "8.172", "prec": 17}, {"__RealLiteral__": 0, "data": "2.043", "prec": 17}, {"__RealLiteral__": 0, "data": "270.200", "prec": 24}, {"__RealLiteral__": 0, "data": "170.819", "prec": 24}, {"__RealLiteral__": 0, "data": "15795.251", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "2.2.3.c4", "trace_display": [8, 0, 0, 0], "traces": [0, 8, 8, 0, 0, 0, 0, 0, -16, 0, 0, -32, 0, 40, 0, 0, -32, -40, 24, 0, 0, 0, -32, -8, 0, 0, 80, 0, 0, 0, 0, 96, -32, -72, 0, 0, 48, 112, -24, 0, 0, -160, 0, -64, 0, 0, -16, 64, 0, 0, 0, 24, 80, 80, 0, 0, 0, 48, 32, 0, 0, -128, 96, 0, 0, 0, -144, -304, 80, 0, 0, 240, 48, 24, 0, 0, -48, -56, -120, 0, 0, -72, -160, 64, 0, 0, -128, -96, 64, 0, 0, 56, -16, 144, 0, 0, 0, 272, -56, 0, 0, 392, 24, -112, 0, 0, 160, 80, 0, 0, 0, 360, 0, -544, 0, 0, 64, -120, -120, 0, 0, -128, -128, 240, 0, 0, 0, 112, 64, 0, 0, -840, -144, 392, 0, 0, 160, -32, 192, 0, 0, -312, 240, 144, 0, 0, 48, 0, -224, 0, 0, -616, -48, -120, 0, 0, -240, -608, 232, 0, 0, 56, -72, 64, 0, 0, 128, 512, 0, 0, 0, 72, -128, 24, 0, 0, 128, 480, 40, 0, 0, 1240, 56, -384, 0, 0, 288, 592, -128, 0, 0, 880, 0, -672, 0, 0, -112, -752, -96, 0, 0, 168, 392, 504, 0, 0, -224, 24, -160, 0, 0, -384, 160, 24, 0, 0, 0, 112, -264, 0, 0, -1024, 360, 64, 0, 0, -1088, -416, -96, 0, 0, -168, 64, 448, 0, 0, -240, -144, 504, 0, 0, 56, -128, 0, 0, 0, 480, -512, -192, 0, 0, 24, 0, -768, 0, 0, 128, 160, 312, 0, 0, -96, -840, 408, 0, 0, 784, -696, 608, 0, 0, 296, 160, 0, 0, 0, 384, 64, -56, 0, 0, -112, -312, -144, 0, 0, 288, -112, -96, 0, 0, -1008, 48, 984, 0, 0, -448, 216, -64, 0, 0, 112, -616, -216, 0, 0, -240, 704, 112, 0, 0, 1176, -240, 1720, 0, 0, 464, 1776, -288, 0, 0, 96, 56, -3456, 0, 0, 128, 720, 320, 0, 0, 1000, 128, 336, 0, 0, 0, -688, -296, 0, 0, -464, 72, 0, 0, 0, 48, -152, 192, 0, 0, 360, 128, -880, 0, 0, 80, 0, -1312, 0, 0, -3032, 1240, 912, 0, 0, -768, -928, 32, 0, 0, -224, 288, 1616, 0, 0, -256, -184, 0, 0, 0, -264, 880, 336, 0, 0, -1344, 192, -544, 0, 0, -232, -112, -816, 0, 0, -192, 144, 1056, 0, 0, 1984, 168, -128, 0, 0, 1008, -1640, -48, 0, 0, 1728, -224, 280, 0, 0, -320, -1440, -232, 0, 0, 1864, -384, 192, 0, 0, 48, 896, -160, 0, 0, -288, 0, -112, 0, 0, -528, 136, -456, 0, 0, 168, -1024, 2064, 0, 0, 128, 0, 0, 0, 0, -576, -1088, -480, 0, 0, -192, 64, 672, 0, 0, 328, -168, -1888, 0, 0, 896, 944, 240, 0, 0, -336, -240, -960, 0, 0, 1008, -240, 1296, 0, 0, -904, 56, 168, 0, 0, 0, 1120, 256, 0, 0, -768, 480, -4600, 0, 0, -384, 1064, -144, 0, 0, -936, 24, 3536, 0, 0, -1536, 1200, -224, 0, 0, -1512, 128, 144, 0, 0, 624, 2584, 224, 0, 0, 1536, -96, 3056, 0, 0, 816, -1344, 288, 0, 0, 360, 784, -2112, 0, 0, 1216, 0, 656, 0, 0, 1416, 296, -984, 0, 0, 0, -2576, 64, 0, 0, -6408, 384, 1064, 0, 0, -112, -2080, 288, 0, 0, 2136, -112, -2560, 0, 0, -288, 0, -480, 0, 0, -88, 288, 1248, 0, 0, -192, -3544, -2648, 0, 0, 224, -1008, 1104, 0, 0, 1968, 384, 0, 0, 0, -1776, -448, 3616, 0, 0, -128, 336, -984, 0, 0, 1008, 112, -912, 0, 0, -432, 1968, 96, 0, 0, 1808, -240, -688, 0, 0, 224, -2080, 264, 0, 0, -576, 1176, 112, 0, 0, 3440, 600, 1216, 0, 0, 1080, 464, 672, 0, 0, -576, 280, -1880, 0, 0, 1648, 96, 992, 0, 0, -6912, 2496, 144, 0, 0, -1008, 128, 304, 0, 0, 640, -72, 392, 0, 0, 920, 1000, 720, 0, 0, 672, -1408, -1024, 0, 0, 2368, 0, -1824, 0, 0, -592, 3504, 816, 0, 0, 744, -464, -2920, 0, 0, 0, -2256, 256, 0, 0, 2672, 48, -168, 0, 0, 384, 2048, 2728, 0, 0, -3360, 360, -2960, 0, 0, -1760, 784, -960, 0, 0, -696, 80, 160, 0, 0, -2624, 1248, 96, 0, 0, -1400, -3032, 456, 0, 0, 1824, 480, -112, 0, 0, -56, -768, 2416, 0, 0, 64, 1104, -480, 0, 0, 288, -224, -1808, 0, 0, 3232, -192, -1184, 0, 0, 4256, -256, -384, 0, 0, 0, 640, 1176, 0, 0, -5920, -264, 1120, 0, 0, 672, -2080, 0, 0, 0, 0, -1344, -96, 0, 0, -1088, 336, -304, 0, 0, -3400, -232, -288, 0, 0, -1632, -3696, 1504, 0, 0, -56, -192, 2176, 0, 0, 2112, -728, -168, 0, 0, -120, 1984, 3120, 0, 0, -256, 528, -784, 0, 0, 64, 1008, -1536, 0, 0, -96, -184, 1816, 0, 0, 6256, 1728, -1072, 0, 0, 560, -1768, -48, 0, 0, 1776, -320, 280, 0, 0, -464, -432, 1968, 0, 0, -3408, 1864, -816, 0, 0, 384, 1456, -320, 0, 0, 3104, 48, 3504, 0, 0, -320, -1936, -408, 0, 0, 0, -288, -1624, 0, 0, -224, -240, -224, 0, 0, -4104, -528, 816, 0, 0, -912, -2816, -2808, 0, 0, 288, 168, -3040, 0, 0, 4128, 976, -720, 0, 0, 288, 128, -800, 0, 0, 0, -1248, -2736, 0, 0, 928, -576, 168, 0, 0, -960, 1312, 832, 0, 0, 4240, -192, -384, 0, 0, 1344, -1512, 72, 0, 0, -2424, 328, 2144, 0, 0, -3776, 336, -128, 0, 0, -168, 896, 96, 0, 0, 480, 3984, 224, 0, 0, -6368, -336, 1968, 0, 0, -1920, 4048, 288, 0, 0, 576, 1008, -3728, 0, 0, 2592, 2352, 1736, 0, 0, 1688, -904, 240, 0, 0, 336, 1632, 256, 0, 0, -3560, 0, 504, 0, 0, 512, 1184, 144, 0, 0, 792, -768, 848, 0, 0, -9200, -1512, 1024, 0, 0, -2376, -384, 2016, 0, 0, -288, -3992, -144, 0, 0, 56, -936, -2400, 0, 0, 7072, 896, 0, 0, 0, -768, -1536, 168, 0, 0, -448, 1632, -280, 0, 0, 2360, -1512, -768, 0, 0, 288, -1504, -320, 0, 0, 6800, 624, -5088, 0, 0, 448, -7808, -72, 0, 0, 4464, 1536, 504, 0, 0, 6112, -1656, 1680, 0, 0, 5048, 816, -360, 0, 0, 576, 1624, -2288, 0, 0, 4032, 360, 4560, 0, 0, -4224, 2944, 1392, 0, 0, -1512, 1216, 208, 0, 0, 1312, -2136, 224, 0, 0, -6040, 1416, 2064, 0, 0, -1968, 4752, -320, 0, 0, 144, 0, -1456, 0, 0, 128, 1008, -384, 0, 0, -528, -6408, -440, 0, 0, 2128, -720, -128, 0, 0, -5368, -112, -336, 0, 0, 576, 912, -2088, 0, 0, -8048, 2136, 448, 0, 0, -5120, -56, 624, 0, 0, -648, -288, 2232, 0, 0, -960, 4320, -1808, 0, 0, -1232, -88, 336, 0, 0, 2496, 1040, 224, 0, 0, -3736, -192, -1200, 0, 0, -5296, 3168, 1272, 0, 0, -936, 224, 840, 0, 0, 2208, 1584, -96, 0, 0, 2808, 1968, -2496, 0, 0, 0, 3312, 1712, 0, 0, -3808, -1776, 560, 0, 0, 7232, -2984, -432, 0, 0, 2544, -128, 1120, 0, 0, -1968, -1176, -448, 0, 0, 5624, 1008, -2544, 0, 0, -1824, -10752, 1232, 0, 0, -616, -432, -2048, 0, 0, 192, 104, 168, 0, 0, -3456, 1808, 1264, 0, 0, -1376, 648, -1408, 0, 0, -384, 224, -96, 0, 0, 528, -5232, 1112, 0, 0, 12912, -576, 1296, 0, 0, 224, -2168, 480, 0, 0, 168, 3440, -112, 0, 0, 2432, -3744, -1256, 0, 0, 7088, 1080, -384, 0, 0, 1344, 1456, -3552, 0, 0, 512, -576, -824, 0, 0, -3760, 4704, 720, 0, 0, -1344, 1648, 4464, 0, 0, 1984, -432, -112, 0, 0, -7280, -6912, 2592, 0, 0, 288, -3392, 4648, 0, 0, 4424, -1008, 3232, 0, 0, 608, -3744, -1440, 0, 0, -1704, 640, 3824, 0, 0, 784, -3648, 1088, 0, 0, 6952, 920, 0, 0, 0, 1440, 1856, -256, 0, 0, -7360, 672, 320, 0, 0, -2048, -1344, -408, 0, 0, 192, 2368, -10592, 0, 0, -3648, 3696, 1376, 0, 0, -3024, -592, 816, 0, 0, 1632, 5288, 672, 0, 0, 312, 744, -6032, 0, 0, -5840, -184, -144, 0, 0, -1656, 0, -672, 0, 0, 512, 360, 2016, 0, 0, 264, 2672, 984, 0, 0, -336, 9408, 304, 0, 0, -240, 384, 784, 0, 0, 5456, 400, -2064, 0, 0, -864, -3360, -3392, 0, 0, -5920, -168, -256, 0, 0, -2800, -1760, -1824, 0, 0, -1920, -3400, -2400, 0, 0, 224, -696, -896, 0, 0, 320, 1168, 0, 0, 0, 864, -2624, -1016, 0, 0, 192, 4560, -240, 0, 0, 7080, -1400, 456, 0, 0, 912, -3824, -2480, 0, 0, -3936, 1824, 11200, 0, 0, -224, 7184, -216, 0, 0, -1656, -56, -560, 0, 0, 4832, -192, 1856, 0, 0, 6624, 64, 360, 0, 0, -960, 1680, 3928, 0, 0, 3392, 288, -1296, 0, 0, -3616, 1504, -576, 0, 0, 168, 3232, -3856, 0, 0, -2368, -2016, 560, 0, 0, -14632, 4256, 1536, 0, 0, -768, -2704, 368, 0, 0, -2720, 0, -512, 0, 0, 2352, 1808, -1128, 0, 0, 888, -5920, -344, 0, 0, 2240, -888, -1760, 0, 0, 392, 672, -336, 0, 0, 0, 3184, -512, 0, 0, 1392, 0, -224, 0, 0, -192, -2800, -384, 0, 0, 4296, -1088, -3480, 0, 0, -608, -72, -2048, 0, 0, -1736, -3400, 1392, 0, 0, -576, -2640, 224, 0, 0, -2720, -1632, -3744, 0, 0, 3008, -1328, 1248, 0, 0, 7920, -56, 6288, 0, 0, 4352, 48, -288, 0, 0, 3112, 2112, 1440, 0, 0, -336, 3856, -2576, 0, 0, -3632, -120, 224, 0, 0, 6240, -3888, -336, 0, 0, 3936, -256, 5192, 0, 0, -1568, -504, 4944, 0, 0, -1256, 64, -1680, 0, 0, -3072, -7664, 3280, 0, 0, -616, -96, 1184, 0, 0, 3632, -5000, 168, 0, 0, -2520, 6256, 800, 0, 0, -2144, 1152, 448, 0, 0, 2216, 560, 816, 0, 0, -96, -2312, -3512, 0, 0, 5792, 1776, 7552, 0, 0, 560, -2904, 2880, 0, 0, -912, -464, -1120, 0, 0, 3936, -2688, -7528, 0, 0, -5000, -3408, 1776, 0, 0, -1632, 1568, 768, 0, 0, 496, 384, -2816, 0, 0, -640, 920, -1680, 0, 0, 0, 3104, -1632, 0, 0, 7008, -144, -1792, 0, 0, 1128, -320, -5328, 0, 0, -816, -9232, 1360, 0, 0, -9144, 0, -1392, 0, 0, -3248, 2544, 0, 0, 0, 2904, -224, -256, 0, 0, -448, 2016, -2912, 0, 0, -11808, -4104, 336, 0, 0, 1632, 7904, -272, 0, 0, 13984, -912, 2800, 0, 0, -5616, -56, 1656, 0, 0, -8904, 288, 4176, 0, 0, -6080, 8400, 2048, 0, 0, -2464, 4128, -2256, 0, 0, -1440, -8, 224, 0, 0, -9296, 288, -10768, 0, 0, -1600, 248, 0, 0, 0, -3168, 0, 4240, 0, 0, -5472, -216, 2544, 0, 0, 8104, 928, -4176, 0, 0, 336, 6976, 2176, 0, 0, -7544, -960, -784, 0, 0, 1664, -976, 1176, 0, 0, 4824, 4240, 8256, 0, 0, -768, -1512, -128, 0, 0, 3456, 1344, -4032, 0, 0, 144, 1096, -776, 0, 0, -392, -2424, -3168, 0, 0, 4288, 3824, 336, 0, 0, -1200, -3776, -9480, 0, 0, -256, -3312, 7192, 0, 0, 3672, -168, 72, 0, 0, 192, 608, -1888, 0, 0, 8160, 480, 4416, 0, 0, 448, 2896, -312, 0, 0, 696, -6368, -1232, 0, 0, 3936, -4488, 480, 0, 0, 5504, -1920, 4368, 0, 0, 576, 952, 1008, 0, 0, 656, 576, -1616, 0, 0, -7456, 6656, 480, 0, 0, -840, 2592, 2480, 0, 0, 3472, -72, 336, 0, 0, 6760, 1688, -1680, 0, 0, 480, -3616, -112, 0, 0, 13736, 336, 6400, 0, 0, 512, -184, 1920, 0, 0, 3072, -3560, -2728, 0, 0, 1008, -4008, -2240, 0, 0, -304, 512, 336, 0, 0, 288, 8816, -3720, 0, 0, -2528, 792, 944, 0, 0, 1696, -3080, -960, 0, 0, 1368, -9200, 104, 0, 0, 2048, 3168, 3072, 0, 0, 4704, -2376, 6168, 0, 0, 4032, -4448, -2128, 0, 0, -5496, -288, -4520, 0, 0, -288, -5376, 1080, 0, 0], "weight_parity": -1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0]], "char_orbit_index": 12, "prim_orbit_index": 3, "minimal_twist": "1050.3.l.a", "char_is_minimal": true, "conrey_index": 43, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, -1, 0], [0, 0, -1, 0, 0, 0, 0, 0], [-2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, -3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-4, 3, 1, 0, -1, 0, 3, -1], [0, -2, 0, 0, 0, 0, 0, 0], [5, 0, 0, -5, 0, 0, 5, 1], [0, 0, -1, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, 0, 0, 0, 0, 0, 0], [-5, -1, 9, -5, 0, 0, 0, 0], [3, 0, 0, -3, 0, 0, 0, 0], [0, -2, 7, 3, 0, -1, 2, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [-4, 6, 2, -4, -1, 1, 0, 0], [-1, 0, 0, 1, 1, 1, -8, 1], [0, -2, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [10, 5, -1, 0, 0, 0, 5, 1], [0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -2], [0, 4, 9, -4, 0, 1, -4, 9], [0, 0, 0, 0, 0, 0, 0, 0], [12, -6, -2, 0, -6, 0, -6, 2], [-4, 0, 0, -4, 0, 0, 0, 0], [-9, 0, 0, 9, -1, -1, 4, -3], [0, -1, 9, -10, 0, 0, 1, 9], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [14, -15, 4, 14, 2, -2, 0, 0], [-3, 0, 0, 3, -1, -1, 4, 14], [0, 5, 0, 15, 0, 1, -5, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-20, -10, 2, 0, 0, 0, -10, -2], [0, 0, 0, 0, 1, -1, 0, 0], [-8, 0, 0, 8, 1, 1, -13, 2], [0, 6, 2, -8, 0, 2, -6, 2], [0, 0, 0, 0, 0, 0, 0, 0], [-2, -8, -1, 0, 2, 0, -8, 1], [8, 13, 7, 8, -9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [3, 5, 0, 0, -9, 0, 5, 0], [10, 10, -2, 10, 0, 0, 0, 0], [10, 0, 0, -10, -2, -2, 12, -4], [0, 3, 0, 0, 0, 0, -3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, -2], [6, -3, -3, 6, -7, 7, 0, 0], [4, 0, 0, -4, 1, 1, -8, 18], [0, -20, 5, 15, 0, -11, 20, 5], [0, 0, 0, 0, 0, 0, 0, 0], [-16, 16, -16, 0, -8, 0, 16, 16], [12, -12, -4, 12, -6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, -8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-18, 4, 3, 0, -2, 0, 4, -3], [-38, -7, 4, -38, -1, 1, 0, 0], [10, 0, 0, -10, 0, 0, 2, 18], [0, -1, 3, -24, 0, 1, 1, 3], [0, 0, 0, 0, 0, 0, 0, 0], [30, -1, -19, 0, 1, 0, -1, 19], [6, 0, 0, 6, 0, 0, 0, 0], [3, 0, 0, -3, -2, -2, 19, -27], [0, -15, 4, 28, 0, -4, 15, 4], [0, 0, 0, 0, 0, 0, 0, 0], [-6, 4, -14, 0, -2, 0, 4, 14], [-7, 7, 4, -7, -3, 3, 0, 0], [-15, 0, 0, 15, 1, 1, -10, 0], [0, 6, 19, -29, 0, -6, -6, 19], [0, 0, 0, 0, 0, 0, 0, 0], [-9, 0, 0, 0, 0, 0, 0, 0], [-20, -20, 4, -20, 0, 0, 0, 0], [8, 0, 0, -8, 2, 2, 6, 4], [0, 0, 0, 0, 0, -2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-16, -13, -2, 0, 2, 0, -13, 2], [-12, 4, 3, -12, -9, 9, 0, 0], [8, 0, 0, -8, 2, 2, -12, 4], [0, 29, 2, -5, 0, -5, -29, 2], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, -5, 0, -5, 0, 0, 5], [-2, -16, -2, -2, 2, -2, 0, 0], [18, 0, 0, -18, 2, 2, -12, -18], [0, 13, 7, 16, 0, 18, -13, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 0], [34, 42, 12, 34, -2, 2, 0, 0], [-7, 0, 0, 7, 0, 0, 0, 0], [0, -9, -3, 12, 0, -3, 9, -3], [0, 0, 0, 0, 0, 0, 0, 0]]}