# LMOV invariants made from Kauffman polynomials. They are defined as Nk[knot,representation,c]:=[lowest degree of A, Matrix of coefficients with powers of A changing in horizontal direction and powers of z changing in vertical direction with a step of 2] Nk[[3, 1],[1],0]:=[A,Matrix(2, 3, [[-4,6,-2],[-2,2,0]])]: Nk[[3, 1],[2],0]:=[A^2,Matrix(4, 6, [[8,-41,64,-41,8,1],[8,-46,76,-46,8,0],[2,-17,30,-17,2,0],[0,-2,4,-2,0,0]])]: Nk[[3, 1],[1, 1],0]:=[A^2,Matrix(3, 6, [[4,-25,40,-25,4,1],[2,-18,32,-18,2,0],[0,-3,6,-3,0,0]])]: Nk[[3, 1],[1],1]:=[A^2,Matrix(2, 3, [[3,-3,1],[1,-1,0]])]: Nk[[3, 1],[1],2]:=[1,Matrix(1, 0, [[]])]: Nk[[3, 1],[2],1]:=[A^3,Matrix(7, 5, [[-16,69,-111,79,-21],[-20,146,-307,251,-70],[-8,128,-366,330,-84],[-1,56,-230,220,-45],[0,12,-79,78,-11],[0,1,-14,14,-1],[0,0,-1,1,0]])]: Nk[[3, 1],[2],2]:=[A^6,Matrix(7, 4, [[-21,63,-63,21],[-70,231,-231,70],[-84,322,-322,84],[-45,219,-219,45],[-11,78,-78,11],[-1,14,-14,1],[0,1,-1,0]])]: Nk[[3, 1],[1, 1],1]:=[A^3,Matrix(6, 5, [[-8,39,-69,53,-15],[-6,61,-146,126,-35],[-1,37,-128,120,-28],[0,10,-56,55,-9],[0,1,-12,12,-1],[0,0,-1,1,0]])]: Nk[[3, 1],[1, 1],2]:=[A^6,Matrix(6, 4, [[-15,45,-45,15],[-35,120,-120,35],[-28,119,-119,28],[-9,55,-55,9],[-1,12,-12,1],[0,1,-1,0]])]: Nk[[4, 1],[1],0]:=[1/A^3,Matrix(2, 4, [[-2,4,-4,2],[0,2,-2,0]])]: Nk[[4, 1],[2],0]:=[1/A^6,Matrix(4, 7, [[4,-10,6,-5,16,-18,6],[1,-4,-5,10,9,-14,3],[0,0,-6,10,-2,-2,0],[0,0,-1,2,-1,0,0]])]: Nk[[4, 1],[1, 1],0]:=[1/A^6,Matrix(4, 7, [[6,-18,16,-5,6,-10,4],[3,-14,9,10,-5,-4,1],[0,-2,-2,10,-6,0,0],[0,0,-1,2,-1,0,0]])]: Nk[[4, 1],[1],1]:=[1,Matrix(2, 1, [[1],[0]])]: Nk[[4, 1],[1],2]:=[1/A^3,Matrix(2, 4, [[-1,3,-3,1],[0,1,-1,0]])]: Nk[[4, 1],[2],1]:=[1/A^5,Matrix(6, 6, [[5,-19,34,-38,25,-7],[10,-40,75,-99,75,-21],[6,-29,57,-98,85,-21],[1,-9,18,-47,45,-8],[0,-1,2,-11,11,-1],[0,0,0,-1,1,0]])]: Nk[[4, 1],[2],2]:=[1/A^6,Matrix(6, 7, [[10,-32,40,-45,65,-55,17],[15,-56,65,-75,145,-130,36],[7,-36,38,-44,128,-121,28],[1,-10,10,-11,56,-55,9],[0,-1,1,-1,12,-12,1],[0,0,0,0,1,-1,0]])]: Nk[[4, 1],[1, 1],1]:=[1/A^5,Matrix(6, 6, [[7,-25,38,-34,19,-5],[21,-75,99,-75,40,-10],[21,-85,98,-57,29,-6],[8,-45,47,-18,9,-1],[1,-11,11,-2,1,0],[0,-1,1,0,0,0]])]: Nk[[4, 1],[1, 1],2]:=[1/A^6,Matrix(6, 7, [[17,-55,65,-45,40,-32,10],[36,-130,145,-75,65,-56,15],[28,-121,128,-44,38,-36,7],[9,-55,56,-11,10,-10,1],[1,-12,12,-1,1,-1,0],[0,-1,1,0,0,0,0]])]: Nk[[5, 1],[1],0]:=[A^3,Matrix(3, 3, [[-6,10,-4],[-8,10,-2],[-2,2,0]])]: Nk[[5, 1],[2],0]:=[A^6,Matrix(8, 8, [[60,-265,408,-265,60,0,0,1],[230,-1030,1600,-1030,230,0,0,0],[352,-1673,2642,-1673,352,0,0,0],[274,-1458,2368,-1458,274,0,0,0],[114,-731,1234,-731,114,0,0,0],[24,-210,372,-210,24,0,0,0],[2,-32,60,-32,2,0,0,0],[0,-2,4,-2,0,0,0,0]])]: Nk[[5, 1],[1, 1],0]:=[A^6,Matrix(7, 8, [[40,-185,288,-185,40,0,0,1],[120,-570,900,-570,120,0,0,0],[138,-707,1138,-707,138,0,0,0],[76,-452,752,-452,76,0,0,0],[20,-157,274,-157,20,0,0,0],[2,-28,52,-28,2,0,0,0],[0,-2,4,-2,0,0,0,0]])]: Nk[[5, 1],[1],1]:=[A^4,Matrix(3, 4, [[5,-5,0,1],[5,-5,0,0],[1,-1,0,0]])]: Nk[[5, 1],[1],2]:=[1,Matrix(2, 0, [[],[]])]: Nk[[5, 1],[2],1]:=[A^7,Matrix(12, 6, [[-120,415,-415,-45,275,-110],[-490,2085,-2085,-1215,2750,-1045],[-819,4663,-4663,-6364,11110,-3927],[-724,5994,-5994,-15644,24090,-7722],[-365,4822,-4822,-22372,31746,-9009],[-105,2500,-2500,-20370,27118,-6643],[-16,833,-833,-12307,15503,-3180],[-1,172,-172,-4998,5985,-986],[0,20,-20,-1349,1540,-191],[0,1,-1,-232,253,-21],[0,0,0,-23,24,-1],[0,0,0,-1,1,0]])]: Nk[[5, 1],[2],2]:=[A^10,Matrix(12, 6, [[-55,0,275,-275,0,55],[-495,0,2750,-2750,0,495],[-1716,0,11110,-11110,0,1716],[-3003,0,24090,-24090,0,3003],[-3003,0,31746,-31746,0,3003],[-1820,0,27118,-27118,0,1820],[-680,0,15503,-15503,0,680],[-153,0,5985,-5985,0,153],[-19,0,1540,-1540,0,19],[-1,0,253,-253,0,1],[0,0,24,-24,0,0],[0,0,1,-1,0,0]])]: Nk[[5, 1],[1, 1],1]:=[A^7,Matrix(11, 6, [[-80,285,-285,-55,225,-90],[-260,1190,-1190,-910,1875,-705],[-336,2192,-2192,-3801,6315,-2178],[-221,2286,-2286,-7666,11385,-3498],[-78,1456,-1456,-8997,12364,-3289],[-14,575,-575,-6642,8567,-1911],[-1,137,-137,-3180,3876,-695],[0,18,-18,-986,1140,-154],[0,1,-1,-191,210,-19],[0,0,0,-21,22,-1],[0,0,0,-1,1,0]])]: Nk[[5, 1],[1, 1],2]:=[A^10,Matrix(11, 6, [[-45,0,225,-225,0,45],[-330,0,1875,-1875,0,330],[-924,0,6315,-6315,0,924],[-1287,0,11385,-11385,0,1287],[-1001,0,12364,-12364,0,1001],[-455,0,8567,-8567,0,455],[-120,0,3876,-3876,0,120],[-17,0,1140,-1140,0,17],[-1,0,210,-210,0,1],[0,0,22,-22,0,0],[0,0,1,-1,0,0]])]: Nk[[5, 2],[1],0]:=[A,Matrix(2, 4, [[-2,0,4,-2],[-2,0,2,0]])]: Nk[[5, 2],[2],0]:=[A^2,Matrix(6, 8, [[4,-9,4,-37,92,-71,12,4],[6,-10,4,-122,290,-212,40,4],[2,-2,0,-148,338,-233,42,1],[0,0,0,-82,180,-114,16,0],[0,0,0,-21,44,-25,2,0],[0,0,0,-2,4,-2,0,0]])]: Nk[[5, 2],[1, 1],0]:=[A^2,Matrix(5, 8, [[2,-5,2,-29,70,-51,6,4],[2,-4,2,-74,170,-114,14,4],[0,0,0,-66,144,-89,10,1],[0,0,0,-24,50,-28,2,0],[0,0,0,-3,6,-3,0,0]])]: Nk[[5, 2],[1],1]:=[A^2,Matrix(3, 4, [[1,3,-5,2],[0,4,-5,1],[0,1,-1,0]])]: Nk[[5, 2],[1],2]:=[1,Matrix(2, 0, [[],[]])]: Nk[[5, 2],[2],1]:=[A^3,Matrix(13, 7, [[-4,-5,-9,189,-403,324,-92],[-5,-5,-250,1765,-3599,2935,-841],[-1,-1,-1022,6993,-14931,12490,-3528],[0,0,-1948,15525,-36254,31272,-8595],[0,0,-2111,21471,-56421,50238,-13177],[0,0,-1389,19476,-59047,54157,-13197],[0,0,-562,11868,-42651,40138,-8793],[0,0,-136,4879,-21490,20656,-3909],[0,0,-18,1332,-7525,7353,-1142],[0,0,-1,231,-1793,1773,-210],[0,0,0,23,-277,276,-22],[0,0,0,1,-25,25,-1],[0,0,0,0,-1,1,0]])]: Nk[[5, 2],[2],2]:=[A^4,Matrix(13, 7, [[-10,48,-45,-229,627,-567,176],[-18,125,125,-2600,6154,-5396,1610],[-8,120,1106,-10891,25676,-22478,6475],[-1,55,2444,-23924,59960,-53231,14697],[0,12,2704,-31680,87935,-79717,20746],[0,1,1728,-27105,86086,-79821,19111],[0,0,665,-15502,58140,-55066,11763],[0,0,152,-5985,27474,-26504,4863],[0,0,19,-1540,9065,-8875,1331],[0,0,1,-253,2046,-2025,231],[0,0,0,-24,301,-300,23],[0,0,0,-1,26,-26,1],[0,0,0,0,1,-1,0]])]: Nk[[5, 2],[1, 1],1]:=[A^3,Matrix(12, 7, [[-2,-3,-13,151,-315,256,-74],[-1,-2,-179,1186,-2420,1985,-569],[0,0,-568,3975,-8653,7296,-2050],[0,0,-863,7442,-18041,15736,-4274],[0,0,-735,8582,-23882,21548,-5513],[0,0,-366,6370,-20957,19490,-4537],[0,0,-105,3090,-12445,11869,-2409],[0,0,-16,971,-5016,4879,-818],[0,0,-1,190,-1350,1332,-171],[0,0,0,21,-232,231,-20],[0,0,0,1,-23,23,-1],[0,0,0,0,-1,1,0]])]: Nk[[5, 2],[1, 1],2]:=[A^4,Matrix(12, 7, [[-5,27,-20,-193,504,-454,141],[-6,54,135,-1794,4185,-3659,1085],[-1,36,671,-6229,14806,-12986,3703],[0,10,1111,-11340,29296,-26181,7104],[0,1,934,-12353,36190,-33133,8361],[0,0,442,-8566,29512,-27680,6292],[0,0,119,-3876,16320,-15639,3076],[0,0,17,-1140,6156,-6003,970],[0,0,1,-210,1560,-1541,190],[0,0,0,-22,254,-253,21],[0,0,0,-1,24,-24,1],[0,0,0,0,1,-1,0]])]: Nk[[6, 2],[1],0]:=[1/A,Matrix(3, 4, [[-4,8,-6,2],[-2,8,-8,2],[0,2,-2,0]])]: Nk[[6, 2],[2],0]:=[1/A^2,Matrix(7, 9, [[14,-60,116,-151,134,-65,8,3,0],[20,-100,245,-430,481,-268,49,2,1],[8,-51,184,-502,700,-422,82,1,0],[1,-8,65,-320,530,-326,58,0,0],[0,0,12,-119,220,-131,18,0,0],[0,0,1,-24,47,-26,2,0,0],[0,0,0,-2,4,-2,0,0,0]])]: Nk[[6, 2],[1, 1],0]:=[1/A^2,Matrix(6, 9, [[18,-72,120,-127,98,-45,4,3,0],[32,-140,247,-294,277,-148,23,2,1],[18,-93,164,-236,294,-178,30,1,0],[3,-24,35,-78,146,-96,14,0,0],[0,-2,-2,-9,34,-23,2,0,0],[0,0,-1,0,3,-2,0,0,0]])]: Nk[[6, 2],[1],1]:=[1,Matrix(3, 4, [[2,-3,3,-1],[1,-4,4,-1],[0,-1,1,0]])]: Nk[[6, 2],[1],2]:=[1/A,Matrix(3, 5, [[-2,5,-3,-1,1],[-1,5,-4,0,0],[0,1,-1,0,0]])]: Nk[[6, 2],[2],1]:=[1/A,Matrix(11, 8, [[-2,19,-74,164,-207,134,-33,-1],[9,-2,-234,948,-1497,956,-113,-67],[30,-122,-217,2492,-5021,3178,109,-449],[27,-174,59,3782,-9793,6109,1194,-1204],[9,-96,261,3540,-11993,7351,2554,-1626],[1,-23,207,2080,-9519,5718,2758,-1222],[0,-2,77,761,-4937,2894,1740,-533],[0,0,14,167,-1653,940,666,-134],[0,0,1,20,-343,188,152,-18],[0,0,0,1,-40,21,19,-1],[0,0,0,0,-2,1,1,0]])]: Nk[[6, 2],[2],2]:=[1/A^2,Matrix(11, 9, [[27,-100,167,-175,34,210,-245,81,1],[76,-295,549,-778,78,1655,-1823,474,64],[85,-355,744,-1676,116,5592,-6068,1226,336],[45,-224,526,-2165,349,10334,-11291,1754,672],[11,-78,201,-1708,673,11531,-12763,1473,660],[1,-14,39,-811,660,8178,-9137,732,352],[0,-1,3,-224,352,3769,-4213,210,104],[0,0,0,-33,104,1124,-1243,32,16],[0,0,0,-2,16,209,-226,2,1],[0,0,0,0,1,22,-23,0,0],[0,0,0,0,0,1,-1,0,0]])]: Nk[[6, 2],[1, 1],1]:=[1/A,Matrix(10, 8, [[0,7,-40,106,-147,100,-25,-1],[17,-53,-50,516,-932,610,-56,-52],[61,-233,152,1136,-2699,1720,144,-281],[78,-327,373,1442,-4467,2777,719,-595],[44,-220,319,1101,-4522,2748,1146,-616],[11,-78,131,501,-2870,1702,944,-341],[1,-14,26,131,-1139,655,443,-103],[0,-1,2,18,-273,151,119,-16],[0,0,0,1,-36,19,17,-1],[0,0,0,0,-2,1,1,0]])]: Nk[[6, 2],[1, 1],2]:=[1/A^2,Matrix(10, 9, [[45,-159,228,-185,38,155,-184,61,1],[155,-572,811,-713,87,1065,-1170,288,49],[224,-881,1180,-1183,112,3021,-3277,608,196],[167,-743,912,-1090,215,4587,-5037,695,294],[66,-367,410,-589,296,4126,-4596,444,210],[13,-105,109,-183,210,2300,-2577,156,77],[1,-16,16,-30,77,802,-892,28,14],[0,-1,1,-2,14,170,-185,2,1],[0,0,0,0,1,20,-21,0,0],[0,0,0,0,0,1,-1,0,0]])]: Nk[[6, 3],[1],0]:=[1/A^3,Matrix(3, 4, [[2,-8,8,-2],[2,-8,8,-2],[0,-2,2,0]])]: Nk[[6, 3],[2],0]:=[1/A^8,Matrix(6, 9, [[1,0,-30,106,-159,116,-38,2,1],[2,9,-86,253,-382,317,-136,21,2],[1,12,-81,204,-324,328,-173,32,1],[0,3,-28,60,-114,160,-96,15,0],[0,0,-3,2,-14,36,-23,2,0],[0,0,0,-1,0,3,-2,0,0]])]: Nk[[6, 3],[1, 1],0]:=[1/A^8,Matrix(6, 9, [[1,2,-38,116,-159,106,-30,0,1],[2,21,-136,317,-382,253,-86,9,2],[1,32,-173,328,-324,204,-81,12,1],[0,15,-96,160,-114,60,-28,3,0],[0,2,-23,36,-14,2,-3,0,0],[0,0,-2,3,0,-1,0,0,0]])]: Nk[[6, 3],[1],1]:=[1/A^4,Matrix(3, 5, [[1,-4,7,-4,1],[1,-5,8,-5,1],[0,-1,2,-1,0]])]: Nk[[6, 3],[1],2]:=[1/A^3,Matrix(3, 4, [[1,-3,3,-1],[1,-4,4,-1],[0,-1,1,0]])]: Nk[[6, 3],[2],1]:=[1/A^7,Matrix(10, 8, [[9,-48,116,-181,205,-158,70,-13],[80,-330,568,-687,880,-918,528,-121],[251,-932,1240,-1031,1630,-2453,1752,-457],[354,-1345,1500,-726,1640,-3706,3110,-827],[246,-1079,1078,-223,953,-3383,3192,-784],[87,-499,469,-12,318,-1933,1977,-407],[15,-131,121,7,56,-697,745,-116],[1,-18,17,1,4,-154,166,-17],[0,-1,1,0,0,-19,20,-1],[0,0,0,0,0,-1,1,0]])]: Nk[[6, 3],[2],2]:=[1/A^8,Matrix(9, 9, [[8,-18,-11,84,-131,89,-2,-31,12],[49,-88,-110,444,-662,580,-139,-153,79],[112,-197,-311,922,-1341,1548,-563,-393,223],[113,-240,-395,952,-1356,2168,-956,-589,303],[54,-169,-257,539,-737,1738,-846,-533,211],[12,-66,-88,172,-218,821,-420,-290,77],[1,-13,-15,29,-33,225,-117,-91,14],[0,-1,-1,2,-2,33,-17,-15,1],[0,0,0,0,0,2,-1,-1,0]])]: Nk[[6, 3],[1, 1],1]:=[1/A^7,Matrix(10, 8, [[13,-70,158,-205,181,-116,48,-9],[121,-528,918,-880,687,-568,330,-80],[457,-1752,2453,-1630,1031,-1240,932,-251],[827,-3110,3706,-1640,726,-1500,1345,-354],[784,-3192,3383,-953,223,-1078,1079,-246],[407,-1977,1933,-318,12,-469,499,-87],[116,-745,697,-56,-7,-121,131,-15],[17,-166,154,-4,-1,-17,18,-1],[1,-20,19,0,0,-1,1,0],[0,-1,1,0,0,0,0,0]])]: Nk[[6, 3],[1, 1],2]:=[1/A^8,Matrix(9, 9, [[12,-31,-2,89,-131,84,-11,-18,8],[79,-153,-139,580,-662,444,-110,-88,49],[223,-393,-563,1548,-1341,922,-311,-197,112],[303,-589,-956,2168,-1356,952,-395,-240,113],[211,-533,-846,1738,-737,539,-257,-169,54],[77,-290,-420,821,-218,172,-88,-66,12],[14,-91,-117,225,-33,29,-15,-13,1],[1,-15,-17,33,-2,2,-1,-1,0],[0,-1,-1,2,0,0,0,0,0]])]: Nk[[7, 1],[1],0]:=[A^5,Matrix(4, 3, [[-8,14,-6],[-20,28,-8],[-12,14,-2],[-2,2,0]])]: Nk[[7, 1],[2],0]:=[A^10,Matrix(12, 10, [[224,-945,1440,-945,224,0,0,0,0,1],[1792,-7588,11592,-7588,1792,0,0,0,0,0],[6104,-26502,40796,-26502,6104,0,0,0,0,0],[11624,-52810,82372,-52810,11624,0,0,0,0,0],[13688,-66453,105530,-66453,13688,0,0,0,0,0],[10424,-55398,89948,-55398,10424,0,0,0,0,0],[5214,-31281,52134,-31281,5214,0,0,0,0,0],[1698,-12006,20616,-12006,1698,0,0,0,0,0],[346,-3082,5472,-3082,346,0,0,0,0,0],[40,-506,932,-506,40,0,0,0,0,0],[2,-48,92,-48,2,0,0,0,0,0],[0,-2,4,-2,0,0,0,0,0,0]])]: Nk[[7, 1],[1, 1],0]:=[A^10,Matrix(11, 10, [[168,-721,1104,-721,168,0,0,0,0,1],[1148,-4956,7616,-4956,1148,0,0,0,0,0],[3304,-14658,22708,-14658,3304,0,0,0,0,0],[5246,-24498,38504,-24498,5246,0,0,0,0,0],[5058,-25555,40994,-25555,5058,0,0,0,0,0],[3072,-17360,28576,-17360,3072,0,0,0,0,0],[1178,-7785,13214,-7785,1178,0,0,0,0,0],[276,-2282,4012,-2282,276,0,0,0,0,0],[36,-420,768,-420,36,0,0,0,0,0],[2,-44,84,-44,2,0,0,0,0,0],[0,-2,4,-2,0,0,0,0,0,0]])]: Nk[[7, 1],[1],1]:=[A^6,Matrix(4, 5, [[7,-7,0,0,1],[14,-14,0,0,0],[7,-7,0,0,0],[1,-1,0,0,0]])]: Nk[[7, 1],[1],2]:=[1,Matrix(3, 0, [[],[],[]])]: Nk[[7, 1],[2],1]:=[A^11,Matrix(17, 7, [[-448,1449,-1449,448,-420,735,-315],[-3696,13356,-13356,3696,-8330,14210,-5880],[-13104,55384,-55384,13104,-68334,112847,-44513],[-26300,135762,-135762,26300,-309817,492415,-182598],[-33188,218242,-218242,33188,-883168,1347710,-464542],[-27692,242234,-242234,27692,-1702584,2493764,-791180],[-15640,190892,-190892,15640,-2322846,3267944,-945098],[-6003,108262,-108262,6003,-2309450,3124379,-814929],[-1541,44275,-44275,1541,-1704376,2220055,-515679],[-253,12926,-12926,253,-942952,1184039,-241087],[-24,2625,-2625,24,-391967,475020,-83053],[-1,352,-352,1,-121705,142506,-20801],[0,28,-28,0,-27784,31465,-3681],[0,1,-1,0,-4524,4960,-436],[0,0,0,0,-497,528,-31],[0,0,0,0,-33,34,-1],[0,0,0,0,-1,1,0]])]: Nk[[7, 1],[2],2]:=[A^14,Matrix(17, 8, [[-105,0,0,735,-735,0,0,105],[-1820,0,0,14210,-14210,0,0,1820],[-12376,0,0,112847,-112847,0,0,12376],[-43758,0,0,492415,-492415,0,0,43758],[-92378,0,0,1347710,-1347710,0,0,92378],[-125970,0,0,2493764,-2493764,0,0,125970],[-116280,0,0,3267944,-3267944,0,0,116280],[-74613,0,0,3124379,-3124379,0,0,74613],[-33649,0,0,2220055,-2220055,0,0,33649],[-10626,0,0,1184039,-1184039,0,0,10626],[-2300,0,0,475020,-475020,0,0,2300],[-325,0,0,142506,-142506,0,0,325],[-27,0,0,31465,-31465,0,0,27],[-1,0,0,4960,-4960,0,0,1],[0,0,0,528,-528,0,0,0],[0,0,0,34,-34,0,0,0],[0,0,0,1,-1,0,0,0]])]: Nk[[7, 1],[1, 1],1]:=[A^11,Matrix(16, 7, [[-336,1099,-1099,336,-364,637,-273],[-2380,8841,-8841,2380,-6370,10829,-4459],[-7182,31934,-31934,7182,-46228,75803,-29575],[-12144,67924,-67924,12144,-185601,291928,-106327],[-12739,94119,-94119,12739,-467545,704067,-236522],[-8673,89146,-89146,8673,-793000,1143506,-350506],[-3892,59109,-59109,3892,-945778,1307368,-361590],[-1141,27664,-27664,1141,-815082,1081557,-266475],[-210,9086,-9086,210,-515698,657799,-142101],[-22,2047,-2047,22,-241088,296010,-54922],[-1,301,-301,1,-83053,98280,-15227],[0,26,-26,0,-20801,23751,-2950],[0,1,-1,0,-3681,4060,-379],[0,0,0,0,-436,465,-29],[0,0,0,0,-31,32,-1],[0,0,0,0,-1,1,0]])]: Nk[[7, 1],[1, 1],2]:=[A^14,Matrix(16, 8, [[-91,0,0,637,-637,0,0,91],[-1365,0,0,10829,-10829,0,0,1365],[-8008,0,0,75803,-75803,0,0,8008],[-24310,0,0,291928,-291928,0,0,24310],[-43758,0,0,704067,-704067,0,0,43758],[-50388,0,0,1143506,-1143506,0,0,50388],[-38760,0,0,1307368,-1307368,0,0,38760],[-20349,0,0,1081557,-1081557,0,0,20349],[-7315,0,0,657799,-657799,0,0,7315],[-1771,0,0,296010,-296010,0,0,1771],[-276,0,0,98280,-98280,0,0,276],[-25,0,0,23751,-23751,0,0,25],[-1,0,0,4060,-4060,0,0,1],[0,0,0,465,-465,0,0,0],[0,0,0,32,-32,0,0,0],[0,0,0,1,-1,0,0,0]])]: Nk[[7, 3],[1],0]:=[A^3,Matrix(3, 4, [[-2,-2,8,-4],[-6,0,8,-2],[-2,0,2,0]])]: Nk[[7, 3],[2],0]:=[A^6,Matrix(10, 10, [[14,-11,4,-249,578,-462,128,-3,-4,4],[82,-64,-13,-1400,3363,-2648,683,0,-7,4],[182,-159,-22,-3694,8830,-6787,1650,1,-2,1],[184,-172,-12,-5576,13127,-9722,2171,0,0,0],[92,-90,-2,-5208,11996,-8462,1674,0,0,0],[22,-22,0,-3106,6968,-4640,778,0,0,0],[2,-2,0,-1181,2574,-1607,214,0,0,0],[0,0,0,-276,584,-340,32,0,0,0],[0,0,0,-36,74,-40,2,0,0,0],[0,0,0,-2,4,-2,0,0,0,0]])]: Nk[[7, 3],[1, 1],0]:=[A^6,Matrix(9, 10, [[10,-7,0,-193,454,-362,100,-3,-4,4],[48,-40,-9,-912,2189,-1696,423,0,-7,4],[82,-79,-4,-1972,4666,-3497,804,1,-2,1],[58,-58,0,-2390,5547,-3982,825,0,0,0],[18,-18,0,-1752,3968,-2698,482,0,0,0],[2,-2,0,-792,1742,-1110,160,0,0,0],[0,0,0,-215,458,-271,28,0,0,0],[0,0,0,-32,66,-36,2,0,0,0],[0,0,0,-2,4,-2,0,0,0,0]])]: Nk[[7, 3],[1],1]:=[A^4,Matrix(4, 5, [[1,5,-6,-1,2],[1,10,-11,-1,1],[0,6,-6,0,0],[0,1,-1,0,0]])]: Nk[[7, 3],[1],2]:=[A^5,Matrix(3, 4, [[-1,3,-3,1],[0,1,-1,0],[0,0,0,0]])]: Nk[[7, 3],[2],1]:=[A^7,Matrix(18, 9, [[-14,-36,-103,824,-915,-337,954,-375,2],[-72,-172,-1709,10017,-9899,-8959,17805,-7327,316],[-137,-217,-10946,57576,-51367,-81568,142850,-60586,4395],[-122,48,-36871,198553,-163762,-395854,651635,-278730,25103],[-55,295,-75324,451429,-349445,-1213536,1915287,-806157,77506],[-12,240,-101031,714389,-519983,-2562395,3895646,-1574001,147147],[-1,87,-93181,815078,-552063,-3916252,5733579,-2171613,184366],[0,15,-60576,685800,-423573,-4462222,6283437,-2181661,158780],[0,1,-27986,430879,-236025,-3856070,5219477,-1626360,96084],[0,0,-9125,202830,-95228,-2549632,3318656,-908674,41173],[0,0,-2049,71120,-27461,-1292941,1620187,-381275,12419],[0,0,-301,18271,-5506,-501071,605432,-119402,2577],[0,0,-26,3333,-728,-146891,171421,-27459,350],[0,0,-1,408,-57,-31957,36076,-4497,28],[0,0,0,30,-2,-4993,5460,-496,1],[0,0,0,1,0,-529,561,-33,0],[0,0,0,0,0,-34,35,-1,0],[0,0,0,0,0,-1,1,0,0]])]: Nk[[7, 3],[2],2]:=[A^8,Matrix(18, 9, [[-23,154,-500,965,-1839,2544,-1338,-319,356],[-149,948,-2944,6761,-22971,41510,-24096,-4979,5920],[-368,2499,-5600,17028,-136748,303189,-189172,-32689,41861],[-431,3640,2516,2489,-487656,1285043,-853492,-118262,166153],[-267,3264,29699,-92372,-1142275,3546358,-2497209,-266123,418925],[-89,1872,60627,-271152,-1850851,6807232,-5066334,-398723,717418],[-15,684,68915,-428764,-2143044,9473611,-7425272,-414373,868258],[-1,153,50693,-445818,-1810094,9821649,-8071348,-306052,760818],[0,19,25305,-324630,-1128413,7718925,-6617949,-162621,489364],[0,1,8662,-169660,-521184,4645712,-4133507,-62257,232233],[0,0,2003,-64003,-177562,2149672,-1974140,-16999,81029],[0,0,299,-17274,-43977,763011,-719334,-3226,20501],[0,0,26,-3251,-7690,205816,-198152,-404,3655],[0,0,1,-405,-899,41414,-40516,-30,435],[0,0,0,-30,-63,6017,-5954,-1,31],[0,0,0,-1,-2,596,-594,0,1],[0,0,0,0,0,36,-36,0,0],[0,0,0,0,0,1,-1,0,0]])]: Nk[[7, 3],[1, 1],1]:=[A^7,Matrix(17, 9, [[-10,-26,-85,646,-701,-325,822,-323,2],[-40,-96,-1258,7081,-6824,-7066,13533,-5598,268],[-57,-66,-6982,36294,-31634,-56080,96420,-41086,3191],[-36,81,-20220,110977,-89625,-241163,391972,-167639,15653],[-10,127,-35338,222616,-168669,-658475,1026939,-428660,41470],[-1,62,-40259,309002,-218946,-1238783,1858127,-736412,67210],[0,13,-31182,306932,-199958,-1681721,2423029,-888340,71227],[0,1,-16727,222595,-129700,-1691654,2338186,-773889,51188],[0,0,-6210,118888,-59774,-1278932,1695501,-494837,25364],[0,0,-1563,46659,-19375,-730890,930217,-233713,8665],[0,0,-254,13267,-4307,-315331,385901,-81279,2003],[0,0,-24,2653,-624,-101832,120053,-20525,299],[0,0,-1,353,-53,-24182,27513,-3656,26],[0,0,0,28,-2,-4091,4499,-435,1],[0,0,0,1,0,-466,496,-31,0],[0,0,0,0,0,-32,33,-1,0],[0,0,0,0,0,-1,1,0,0]])]: Nk[[7, 3],[1, 1],2]:=[A^8,Matrix(17, 9, [[-16,109,-365,731,-1497,2151,-1147,-271,305],[-87,562,-1736,4236,-16485,30993,-18225,-3683,4425],[-172,1230,-2157,7851,-87035,201116,-127229,-21100,27496],[-150,1462,4080,-6794,-275192,759303,-512366,-66517,96174],[-64,1045,17353,-60850,-568790,1865604,-1337744,-129767,213213],[-13,459,27168,-137589,-807139,3179308,-2414151,-167180,319137],[-1,120,24906,-180899,-810579,3909879,-3130291,-147713,334578],[0,17,14770,-158011,-586656,3558580,-2988313,-91375,250988],[0,1,5829,-95989,-308585,2434209,-2131721,-39861,136117],[0,0,1521,-41168,-117854,1260990,-1144682,-12189,53382],[0,0,252,-12419,-32294,494920,-462879,-2554,14974],[0,0,24,-2577,-6179,146109,-139954,-349,2926],[0,0,1,-350,-783,31898,-31116,-28,378],[0,0,0,-28,-59,4991,-4932,-1,29],[0,0,0,-1,-2,529,-527,0,1],[0,0,0,0,0,34,-34,0,0],[0,0,0,0,0,1,-1,0,0]])]: Nk[[7, 5],[1],0]:=[A^3,Matrix(3, 4, [[-4,4,2,-2],[-6,2,6,-2],[-2,0,2,0]])]: Nk[[7, 5],[2],0]:=[A^6,Matrix(10, 10, [[34,-117,124,-78,106,-97,24,2,0,1],[142,-438,421,-504,1031,-890,237,-2,1,2],[236,-668,574,-1569,3664,-2991,756,-5,2,1],[202,-526,401,-2846,6796,-5240,1214,-2,1,0],[94,-224,150,-3165,7418,-5385,1112,0,0,0],[22,-48,28,-2192,4979,-3386,597,0,0,0],[2,-4,2,-941,2066,-1309,184,0,0,0],[0,0,0,-242,514,-302,30,0,0,0],[0,0,0,-34,70,-38,2,0,0,0],[0,0,0,-2,4,-2,0,0,0,0]])]: Nk[[7, 5],[1, 1],0]:=[A^6,Matrix(9, 10, [[22,-81,92,-70,94,-77,16,2,0,1],[74,-238,241,-356,719,-582,141,-2,1,2],[96,-274,238,-897,2072,-1609,376,-5,2,1],[60,-152,111,-1318,3096,-2282,486,-2,1,0],[18,-40,24,-1159,2660,-1847,344,0,0,0],[2,-4,2,-608,1349,-874,133,0,0,0],[0,0,0,-185,396,-237,26,0,0,0],[0,0,0,-30,62,-34,2,0,0,0],[0,0,0,-2,4,-2,0,0,0,0]])]: Nk[[7, 5],[1],1]:=[A^4,Matrix(4, 5, [[3,0,-3,0,1],[2,5,-7,-1,1],[0,5,-5,0,0],[0,1,-1,0,0]])]: Nk[[7, 5],[1],2]:=[A^5,Matrix(3, 4, [[1,-3,3,-1],[1,-4,4,-1],[0,-1,1,0]])]: Nk[[7, 5],[2],1]:=[A^7,Matrix(18, 9, [[-58,139,-135,283,-453,145,183,-103,-1],[-232,823,-1909,4893,-5369,-1174,4832,-1662,-202],[-366,2167,-10194,29671,-21117,-35016,48508,-9731,-3922],[-290,3113,-29606,97060,-16389,-263719,260885,-18890,-32164],[-121,2595,-54798,202662,137193,-1067740,878560,46144,-144495],[-25,1265,-70177,298256,567961,-2763611,2019746,347635,-401050],[-2,351,-64812,331411,1138797,-4939138,3332018,938150,-736775],[0,51,-43719,289215,1451142,-6355450,4059381,1535044,-935664],[0,3,-21388,199431,1274994,-6034562,3711076,1715278,-844832],[0,0,-7436,106627,800120,-4289152,2566316,1375305,-551780],[0,0,-1777,42920,364029,-2297616,1345362,809861,-262779],[0,0,-276,12586,120259,-927622,532941,353260,-91148],[0,0,-25,2584,28530,-280188,158006,113846,-22753],[0,0,-1,350,4731,-62257,34426,26729,-3978],[0,0,0,28,520,-9865,5339,4440,-462],[0,0,0,1,34,-1054,557,494,-32],[0,0,0,0,1,-68,35,33,-1],[0,0,0,0,0,-2,1,1,0]])]: Nk[[7, 5],[2],2]:=[A^8,Matrix(18, 9, 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[[-59,250,-312,-239,722,-191,-287,48,68],[-240,1208,-892,-5193,8149,2053,-7371,1255,1031],[-387,2518,2289,-35093,38166,42224,-68041,10926,7398],[-311,2978,16648,-125536,99555,258808,-332578,48898,31538],[-129,2161,40282,-283883,168984,856544,-1003134,133661,85514],[-26,961,55721,-439441,214345,1794488,-2021288,241905,153335],[-2,251,49363,-483027,228883,2566725,-2851288,301669,187426],[0,35,29113,-382878,212487,2617139,-2900199,264554,159749],[0,2,11530,-219726,161834,1952228,-2166841,164699,96274],[0,0,3024,-90889,94320,1080745,-1201222,72828,41194],[0,0,503,-26728,40253,446253,-495352,22651,12420],[0,0,48,-5435,12219,136878,-151121,4834,2577],[0,0,2,-725,2555,30732,-33587,673,350],[0,0,0,-57,349,4903,-5278,55,28],[0,0,0,-2,28,526,-555,2,1],[0,0,0,0,1,34,-35,0,0],[0,0,0,0,0,1,-1,0,0]])]: Nk[[8, 2],[1],0]:=[A,Matrix(4, 4, [[-6,12,-8,2],[-8,22,-20,6],[-2,12,-12,2],[0,2,-2,0]])]: Nk[[8, 2],[2],0]:=[A^2,Matrix(11, 11, 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2],[1],2]:=[A,Matrix(4, 6, [[-3,7,-4,0,-1,1],[-4,14,-10,0,0,0],[-1,7,-6,0,0,0],[0,1,-1,0,0,0]])]: Nk[[8, 2],[2],1]:=[A^3,Matrix(16, 10, [[-53,235,-358,95,385,-557,331,-80,3,-1],[-183,1173,-2412,913,4090,-7251,4866,-1357,308,-147],[-215,2146,-6727,4184,21208,-46457,32961,-8096,2977,-1981],[-71,1343,-9401,12874,67281,-183249,131277,-21265,12145,-10934],[45,-893,-5150,28459,140805,-480440,338602,-16291,26895,-32032],[41,-2106,3712,44668,201188,-871907,597362,47139,36102,-56199],[11,-1589,8927,48990,200121,-1124890,746029,154485,31135,-63219],[1,-647,7546,37334,140037,-1050551,674033,221916,17779,-47448],[0,-151,3683,19722,69064,-718067,446061,197145,6785,-24242],[0,-19,1119,7165,23797,-360655,217144,118195,1710,-8456],[0,-1,209,1752,5593,-132598,77441,49312,273,-1981],[0,0,22,275,853,-35197,19947,14373,25,-298],[0,0,1,25,76,-6556,3605,2874,1,-26],[0,0,0,1,3,-812,433,376,0,-1],[0,0,0,0,0,-60,31,29,0,0],[0,0,0,0,0,-2,1,1,0,0]])]: Nk[[8, 2],[2],2]:=[A^2,Matrix(16, 11, 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[[-37,167,-258,65,303,-447,273,-68,3,-1],[-84,618,-1388,520,2861,-5220,3571,-1005,251,-124],[47,469,-2812,2148,13167,-30119,21548,-5044,2027,-1431],[336,-1015,-2131,6366,36856,-106595,76285,-10287,6939,-6754],[440,-2338,1234,13341,67355,-248706,173919,-1264,12816,-16797],[274,-2048,4175,18849,82854,-397557,269051,34984,14157,-24739],[90,-959,4187,17762,69675,-446474,291660,77227,9855,-23023],[15,-252,2359,11204,40289,-358037,225843,88180,4422,-14023],[1,-35,815,4727,15938,-206702,126050,63593,1275,-5662],[0,-2,171,1313,4225,-85872,50680,30758,228,-1501],[0,0,20,230,716,-25389,14510,10141,23,-251],[0,0,1,23,70,-5204,2880,2253,1,-24],[0,0,0,1,3,-702,376,323,0,-1],[0,0,0,0,0,-56,29,27,0,0],[0,0,0,0,0,-2,1,1,0,0]])]: Nk[[8, 2],[1, 1],2]:=[A^2,Matrix(15, 11, 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[[74,-421,1014,-1347,1024,-399,46,6,2,0,0],[180,-1292,3954,-6528,5967,-2758,459,12,3,2,1],[168,-1720,7246,-15259,16538,-8668,1678,12,4,1,0],[72,-1286,8254,-22252,27694,-15642,3153,6,1,0,0],[14,-592,6400,-21811,30168,-17626,3446,1,0,0,0],[1,-170,3423,-14612,21943,-12898,2313,0,0,0,0],[0,-28,1228,-6648,10690,-6208,966,0,0,0,0],[0,-2,279,-2008,3431,-1944,244,0,0,0,0],[0,0,36,-384,694,-380,34,0,0,0,0],[0,0,2,-42,80,-42,2,0,0,0,0],[0,0,0,-2,4,-2,0,0,0,0,0]])]: Nk[[8, 5],[1, 1],0]:=[A^2,Matrix(10, 11, [[72,-381,856,-1075,786,-295,28,6,2,0,0],[190,-1134,3006,-4556,3997,-1792,271,12,3,2,1],[208,-1422,4624,-8785,9250,-4756,864,12,4,1,0],[114,-932,4076,-10162,12628,-7090,1359,6,1,0,0],[30,-328,2290,-7787,11066,-6470,1198,1,0,0,0],[3,-58,859,-4056,6371,-3738,619,0,0,0,0],[0,-4,212,-1408,2382,-1368,186,0,0,0,0],[0,0,31,-308,553,-306,30,0,0,0,0],[0,0,2,-38,72,-38,2,0,0,0,0],[0,0,0,-2,4,-2,0,0,0,0,0]])]: Nk[[8, 5],[1],1]:=[A^2,Matrix(4, 5, [[7,-15,13,-4,0],[8,-25,22,-4,-1],[2,-13,12,-1,0],[0,-2,2,0,0]])]: Nk[[8, 5],[1],2]:=[A,Matrix(4, 6, [[-4,8,-1,-5,1,1],[-4,14,-6,-5,1,0],[-1,7,-5,-1,0,0],[0,1,-1,0,0,0]])]: Nk[[8, 5],[2],1]:=[A^3,Matrix(16, 10, [[-115,742,-2059,3123,-2680,1181,-170,-18,-4,0],[-420,3716,-13419,24273,-21750,7508,247,435,-587,-3],[-582,7823,-40624,92259,-85177,12949,11168,10322,-7873,-265],[-361,8655,-73382,220596,-205760,-40704,63954,73276,-43348,-2926],[-76,5010,-85680,363346,-338494,-263993,194887,266769,-129042,-12727],[16,952,-66082,429507,-403120,-670996,383562,591008,-236104,-28743],[9,-583,-33070,370573,-362831,-1041233,523674,866616,-284688,-38467],[1,-446,-9866,233943,-253208,-1095822,511860,881668,-235370,-32760],[0,-129,-1172,107247,-137683,-815958,363159,639251,-136287,-18428],[0,-18,253,35093,-57455,-437620,187706,334648,-55671,-6936],[0,-1,120,7949,-17844,-169584,70348,126684,-15943,-1729],[0,0,18,1180,-3946,-47010,18843,34317,-3128,-274],[0,0,1,103,-582,-9081,3505,6479,-400,-25],[0,0,0,4,-51,-1160,429,809,-30,-1],[0,0,0,0,-2,-88,31,60,-1,0],[0,0,0,0,0,-3,1,2,0,0]])]: Nk[[8, 5],[2],2]:=[A^2,Matrix(16, 11, 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[[-87,548,-1511,2307,-2002,885,-120,-16,-4,0],[-309,2414,-8562,15756,-14232,4605,415,411,-495,-3],[-393,4181,-21978,52477,-48700,4157,8291,7865,-5679,-221],[-129,3267,-32940,110175,-102933,-35836,39539,47681,-26789,-2035],[164,607,-31210,159253,-148483,-158858,104405,149723,-68242,-7359],[184,-828,-18891,163924,-155479,-334323,179306,286096,-106261,-13728],[75,-664,-6901,121219,-123225,-439944,212519,359901,-107965,-15015],[14,-214,-1171,64069,-75319,-392242,178136,311147,-74137,-10283],[1,-33,106,23820,-35227,-244759,106510,189075,-34953,-4540],[0,-2,90,6048,-12232,-108029,45351,81375,-11309,-1292],[0,0,16,994,-3009,-33542,13586,24648,-2464,-229],[0,0,1,95,-490,-7159,2788,5133,-345,-23],[0,0,0,4,-47,-999,372,699,-28,-1],[0,0,0,0,-2,-82,29,56,-1,0],[0,0,0,0,0,-3,1,2,0,0]])]: Nk[[8, 5],[1, 1],2]:=[A^2,Matrix(15, 11, [[138,-545,687,451,-2537,3109,-1344,-153,191,2,1],[607,-2518,3598,2891,-19339,25409,-8254,-5025,2283,227,121],[1227,-5247,8748,7074,-69345,99880,-17174,-39537,10727,2437,1210],[1439,-6355,12557,6523,-149124,243134,3558,-152604,25394,10759,4719],[1036,-4898,11430,-3076,-210163,402862,88131,-352002,32129,25113,9438],[458,-2484,6720,-13057,-202495,474868,202697,-531009,18476,34815,11011],[120,-824,2523,-13715,-136046,405991,257369,-550011,-4004,30589,8008],[17,-171,580,-7796,-64044,252979,213998,-401916,-15031,17644,3740],[1,-20,74,-2663,-20949,114259,123368,-209933,-12026,6767,1122],[0,-1,4,-546,-4646,36826,50301,-78504,-5352,1709,209],[0,0,0,-62,-664,8223,14480,-20798,-1474,273,22],[0,0,0,-3,-55,1205,2879,-3802,-250,25,1],[0,0,0,0,-2,104,376,-455,-24,1,0],[0,0,0,0,0,4,29,-32,-1,0,0],[0,0,0,0,0,0,1,-1,0,0,0]])]: Nk[[8, 7],[1],0]:=[1/A^5,Matrix(4, 4, [[4,-12,10,-2],[6,-22,22,-6],[2,-12,12,-2],[0,-2,2,0]])]: Nk[[8, 7],[2],0]:=[1/A^16,Matrix(9, 11, [[1,-2,3,16,-146,386,-480,300,-84,4,1],[2,-1,-2,139,-824,1923,-2282,1467,-484,56,6],[1,2,-6,386,-2001,4094,-4405,2796,-1036,158,11],[0,1,-2,505,-2616,4843,-4566,2740,-1092,181,6],[0,0,0,352,-1989,3476,-2821,1508,-623,96,1],[0,0,0,134,-902,1551,-1080,468,-194,23,0],[0,0,0,26,-239,420,-254,76,-31,2,0],[0,0,0,2,-34,63,-34,5,-2,0,0],[0,0,0,0,-2,4,-2,0,0,0,0]])]: Nk[[8, 7],[1, 1],0]:=[1/A^16,Matrix(10, 11, [[1,-2,3,28,-198,474,-552,328,-88,4,1],[2,-1,-2,239,-1280,2707,-2886,1627,-448,36,6],[1,2,-6,758,-3719,7010,-6521,3212,-826,78,11],[0,1,-2,1223,-6018,10543,-8482,3376,-714,67,6],[0,0,0,1118,-5859,9946,-7045,2124,-309,24,1],[0,0,0,598,-3546,6023,-3858,844,-64,3,0],[0,0,0,184,-1337,2324,-1378,212,-5,0,0],[0,0,0,30,-304,549,-306,31,0,0,0],[0,0,0,2,-38,72,-38,2,0,0,0],[0,0,0,0,-2,4,-2,0,0,0,0]])]: Nk[[8, 7],[1],1]:=[1/A^8,Matrix(4, 6, [[1,-1,-4,8,-4,1],[1,-2,-7,17,-12,3],[0,0,-5,11,-7,1],[0,0,-1,2,-1,0]])]: Nk[[8, 7],[1],2]:=[1/A^7,Matrix(4, 5, [[1,-1,-3,5,-2],[1,-1,-7,10,-3],[0,0,-5,6,-1],[0,0,-1,1,0]])]: Nk[[8, 7],[2],1]:=[1/A^15,Matrix(14, 10, [[1,58,-238,300,17,-407,454,-252,78,-11],[87,459,-2543,3571,-976,-2188,2970,-2200,1044,-224],[837,1756,-13192,18450,-6605,-5134,8287,-8256,5163,-1306],[3396,4179,-41775,55224,-18513,-7516,12868,-17621,13291,-3533],[7306,6734,-86294,105919,-28483,-8570,11976,-23635,20360,-5313],[9195,7516,-120059,136635,-25835,-8277,6692,-20876,19784,-4775],[7136,5717,-114761,121969,-13507,-6161,2096,-12431,12586,-2644],[3503,2886,-76272,76625,-3237,-3144,270,-5015,5289,-905],[1088,939,-35364,34096,382,-1027,-27,-1350,1449,-186],[207,188,-11353,10682,496,-203,-12,-232,248,-21],[22,21,-2466,2303,143,-22,-1,-23,24,-1],[1,1,-345,325,19,-1,0,-1,1,0],[0,0,-28,27,1,0,0,0,0,0],[0,0,-1,1,0,0,0,0,0,0]])]: Nk[[8, 7],[2],2]:=[1/A^16,Matrix(13, 11, [[30,-52,-6,-2,47,152,-408,365,-140,5,9],[274,-358,-173,-448,1182,635,-2680,2463,-913,-127,145],[1231,-1015,-1663,-3894,8744,-38,-7932,7597,-2776,-950,696],[3099,-1272,-7465,-14054,30437,-4498,-13774,13806,-5271,-2541,1533],[4566,-324,-17973,-28485,60485,-10425,-15336,15874,-6554,-3674,1846],[4094,852,-25768,-36338,75427,-11504,-11323,11843,-5309,-3274,1300],[2290,1001,-23517,-30641,62031,-7274,-5571,5785,-2778,-1873,547],[801,500,-14154,-17411,34460,-2765,-1794,1835,-923,-684,135],[170,132,-5680,-6671,12992,-624,-361,364,-187,-153,18],[20,18,-1502,-1693,3273,-77,-41,41,-21,-19,1],[1,1,-251,-272,527,-4,-2,2,-1,-1,0],[0,0,-24,-25,49,0,0,0,0,0,0],[0,0,-1,-1,2,0,0,0,0,0,0]])]: Nk[[8, 7],[1, 1],1]:=[1/A^15,Matrix(15, 10, 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[[38,-67,-8,7,36,204,-460,360,-121,4,7],[394,-545,-228,-507,1460,912,-3114,2316,-695,-93,100],[2008,-1877,-2367,-5632,12969,-34,-9758,6665,-1802,-573,401],[5886,-3132,-12218,-24233,52964,-8197,-18700,10970,-2801,-1253,714],[10384,-2046,-34610,-57814,123613,-22602,-24488,11113,-2750,-1471,671],[11454,929,-59125,-87137,182578,-30566,-22826,7088,-1702,-1046,353],[8127,2542,-65136,-87976,180233,-24528,-15081,2829,-655,-459,104],[3757,1900,-48188,-61126,122472,-12363,-6878,681,-151,-120,16],[1123,748,-24408,-29493,58008,-3947,-2086,90,-19,-17,1],[209,167,-8476,-9830,19099,-774,-398,5,-1,-1,0],[22,20,-1982,-2214,4282,-85,-43,0,0,0,0],[1,1,-298,-321,623,-4,-2,0,0,0,0],[0,0,-26,-27,53,0,0,0,0,0,0],[0,0,-1,-1,2,0,0,0,0,0,0]])]: Nk[[8, 9],[1],0]:=[1/A^3,Matrix(4, 4, [[-4,10,-10,4],[-6,22,-22,6],[-2,12,-12,2],[0,2,-2,0]])]: Nk[[8, 9],[2],0]:=[1/A^10,Matrix(9, 11, [[0,9,10,-132,306,-411,366,-180,22,9,0],[4,10,86,-636,1484,-2072,1918,-976,168,10,4],[4,6,184,-1199,2814,-4164,4138,-2209,416,6,4],[1,4,178,-1160,2743,-4432,4877,-2728,512,4,1],[0,1,90,-632,1504,-2784,3482,-2014,352,1,0],[0,0,22,-194,467,-1076,1551,-904,134,0,0],[0,0,2,-31,76,-254,420,-239,26,0,0],[0,0,0,-2,5,-34,63,-34,2,0,0],[0,0,0,0,0,-2,4,-2,0,0,0]])]: Nk[[8, 9],[1, 1],0]:=[1/A^10,Matrix(9, 11, [[0,9,22,-180,366,-411,306,-132,10,9,0],[4,10,168,-976,1918,-2072,1484,-636,86,10,4],[4,6,416,-2209,4138,-4164,2814,-1199,184,6,4],[1,4,512,-2728,4877,-4432,2743,-1160,178,4,1],[0,1,352,-2014,3482,-2784,1504,-632,90,1,0],[0,0,134,-904,1551,-1076,467,-194,22,0,0],[0,0,26,-239,420,-254,76,-31,2,0,0],[0,0,2,-34,63,-34,5,-2,0,0,0],[0,0,0,-2,4,-2,0,0,0,0,0]])]: Nk[[8, 9],[1],1]:=[1/A^4,Matrix(4, 5, [[-1,4,-5,4,-1],[-2,9,-14,9,-2],[-1,6,-10,6,-1],[0,1,-2,1,0]])]: Nk[[8, 9],[1],2]:=[1/A^5,Matrix(4, 6, [[-2,2,4,-4,-2,2],[-1,2,7,-7,-2,1],[0,0,5,-5,0,0],[0,0,1,-1,0,0]])]: Nk[[8, 9],[2],1]:=[1/A^9,Matrix(13, 10, [[2,38,-162,276,-314,352,-354,216,-52,-2],[89,70,-1035,1966,-2190,2602,-2812,1581,-156,-115],[631,-608,-3148,6542,-6434,8513,-10806,5570,694,-954],[2012,-3123,-6319,13947,-10848,16917,-26769,12692,5082,-3591],[3469,-6614,-9267,20684,-11638,22728,-46112,20901,13313,-7464],[3475,-7992,-9803,21218,-8016,21060,-55669,25349,19638,-9260],[2097,-6075,-7135,14782,-3447,13318,-46762,22009,18362,-7149],[770,-2999,-3450,6884,-882,5638,-27137,13276,11404,-3504],[168,-956,-1075,2096,-122,1552,-10767,5433,4759,-1088],[20,-189,-206,399,-7,264,-2856,1467,1315,-207],[1,-21,-22,43,0,25,-483,249,230,-22],[0,-1,-1,2,0,1,-47,24,23,-1],[0,0,0,0,0,0,-2,1,1,0]])]: Nk[[8, 9],[2],2]:=[1/A^10,Matrix(13, 11, [[4,149,-483,456,52,-367,19,608,-644,202,4],[147,776,-3498,3738,-168,-2061,-742,5715,-5358,1254,197],[700,1962,-11817,13223,-1434,-5583,-4436,23297,-20780,3723,1145],[1534,3140,-23991,26656,-2964,-9930,-10338,54586,-48646,6899,3054],[1846,3346,-31524,33730,-2670,-12248,-12395,81401,-74688,8647,4555],[1300,2312,-27553,28095,-944,-10125,-7947,81221,-77788,7336,4093],[547,995,-16194,15792,174,-5417,-2245,55777,-55827,4108,2290],[135,254,-6384,6031,275,-1827,266,26712,-27735,1472,801],[18,35,-1656,1543,99,-373,406,8907,-9471,322,170],[1,2,-270,253,16,-42,127,2027,-2173,39,20],[0,0,-25,24,1,-2,18,300,-319,2,1],[0,0,-1,1,0,0,1,26,-27,0,0],[0,0,0,0,0,0,0,1,-1,0,0]])]: Nk[[8, 9],[1, 1],1]:=[1/A^9,Matrix(13, 10, [[2,52,-216,354,-352,314,-276,162,-38,-2],[115,156,-1581,2812,-2602,2190,-1966,1035,-70,-89],[954,-694,-5570,10806,-8513,6434,-6542,3148,608,-631],[3591,-5082,-12692,26769,-16917,10848,-13947,6319,3123,-2012],[7464,-13313,-20901,46112,-22728,11638,-20684,9267,6614,-3469],[9260,-19638,-25349,55669,-21060,8016,-21218,9803,7992,-3475],[7149,-18362,-22009,46762,-13318,3447,-14782,7135,6075,-2097],[3504,-11404,-13276,27137,-5638,882,-6884,3450,2999,-770],[1088,-4759,-5433,10767,-1552,122,-2096,1075,956,-168],[207,-1315,-1467,2856,-264,7,-399,206,189,-20],[22,-230,-249,483,-25,0,-43,22,21,-1],[1,-23,-24,47,-1,0,-2,1,1,0],[0,-1,-1,2,0,0,0,0,0,0]])]: Nk[[8, 9],[1, 1],2]:=[1/A^10,Matrix(13, 11, [[4,202,-644,608,19,-367,52,456,-483,149,4],[197,1254,-5358,5715,-742,-2061,-168,3738,-3498,776,147],[1145,3723,-20780,23297,-4436,-5583,-1434,13223,-11817,1962,700],[3054,6899,-48646,54586,-10338,-9930,-2964,26656,-23991,3140,1534],[4555,8647,-74688,81401,-12395,-12248,-2670,33730,-31524,3346,1846],[4093,7336,-77788,81221,-7947,-10125,-944,28095,-27553,2312,1300],[2290,4108,-55827,55777,-2245,-5417,174,15792,-16194,995,547],[801,1472,-27735,26712,266,-1827,275,6031,-6384,254,135],[170,322,-9471,8907,406,-373,99,1543,-1656,35,18],[20,39,-2173,2027,127,-42,16,253,-270,2,1],[1,2,-319,300,18,-2,1,24,-25,0,0],[0,0,-27,26,1,0,0,1,-1,0,0],[0,0,-1,1,0,0,0,0,0,0,0]])]: Nk[[8, 10],[1],0]:=[1/A^5,Matrix(4, 4, [[6,-18,16,-4],[6,-24,24,-6],[2,-12,12,-2],[0,-2,2,0]])]: Nk[[8, 10],[2],0]:=[1/A^16,Matrix(9, 11, [[1,2,-5,80,-437,944,-1023,584,-157,6,4],[2,2,-4,298,-1688,3594,-3810,2166,-620,48,12],[1,2,5,544,-3068,6198,-6199,3470,-1106,140,13],[0,1,4,585,-3298,6247,-5708,3093,-1100,170,6],[0,0,1,372,-2225,3996,-3241,1624,-622,94,1],[0,0,0,136,-944,1652,-1164,491,-194,23,0],[0,0,0,26,-242,428,-261,78,-31,2,0],[0,0,0,2,-34,63,-34,5,-2,0,0],[0,0,0,0,-2,4,-2,0,0,0,0]])]: Nk[[8, 10],[1, 1],0]:=[1/A^16,Matrix(10, 11, [[1,2,-5,114,-593,1226,-1271,686,-169,4,4],[2,2,-4,514,-2682,5332,-5202,2602,-594,18,12],[1,2,5,1152,-5898,11012,-9741,4302,-898,50,13],[0,1,4,1531,-7866,13909,-10966,4049,-722,54,6],[0,0,1,1246,-6757,11596,-8171,2370,-308,22,1],[0,0,0,624,-3792,6486,-4150,893,-64,3,0],[0,0,0,186,-1372,2392,-1417,216,-5,0,0],[0,0,0,30,-306,553,-308,31,0,0,0],[0,0,0,2,-38,72,-38,2,0,0,0],[0,0,0,0,-2,4,-2,0,0,0,0]])]: Nk[[8, 10],[1],1]:=[1/A^8,Matrix(4, 6, [[1,1,-11,17,-9,2],[1,1,-18,29,-16,3],[0,1,-11,17,-8,1],[0,0,-2,3,-1,0]])]: Nk[[8, 10],[1],2]:=[1/A^7,Matrix(4, 5, [[0,0,0,0,0],[1,-1,-3,5,-2],[0,0,-4,5,-1],[0,0,-1,1,0]])]: Nk[[8, 10],[2],1]:=[1/A^15,Matrix(14, 10, [[0,106,-259,-150,1182,-1759,1378,-679,215,-34],[3,1040,-2739,-81,7055,-9838,7213,-3944,1605,-314],[152,4897,-14166,4070,20779,-26616,17902,-11724,6056,-1350],[1134,13296,-44491,20713,39591,-45393,26695,-22068,13854,-3331],[3466,22498,-91443,51602,54744,-53882,25219,-27468,20217,-4953],[5466,24914,-127411,78558,57994,-46313,15037,-23040,19317,-4522],[4951,18388,-122552,78946,47033,-28721,5445,-13206,12272,-2556],[2718,9008,-82071,54404,28201,-12458,1083,-5183,5188,-890],[919,2868,-38264,26160,11973,-3615,81,-1370,1433,-185],[187,567,-12293,8772,3440,-660,-6,-233,247,-21],[21,63,-2654,2009,630,-68,-1,-23,24,-1],[1,3,-366,299,66,-3,0,-1,1,0],[0,0,-29,26,3,0,0,0,0,0],[0,0,-1,1,0,0,0,0,0,0]])]: Nk[[8, 10],[2],2]:=[1/A^16,Matrix(13, 11, [[30,84,-442,416,152,-445,333,-273,257,-146,34],[274,835,-4022,2937,2412,-3511,1228,-730,1296,-982,263],[1231,3854,-17169,8580,14087,-12648,864,658,2551,-2900,892],[3099,10193,-43880,12035,44298,-26796,-3084,5416,1945,-4917,1691],[4566,16664,-73058,5129,84879,-35874,-7991,9687,-566,-5347,1911],[4094,17350,-82339,-8683,105190,-30918,-8792,8924,-2176,-3963,1313],[2290,11669,-64093,-15950,87124,-17172,-5517,4887,-1751,-2035,548],[801,5093,-34683,-12424,48997,-6064,-2090,1659,-720,-704,135],[170,1427,-12953,-5631,18724,-1309,-471,344,-165,-154,18],[20,247,-3260,-1572,4778,-157,-58,40,-20,-19,1],[1,24,-526,-266,778,-8,-3,2,-1,-1,0],[0,1,-49,-25,73,0,0,0,0,0,0],[0,0,-2,-1,3,0,0,0,0,0,0]])]: Nk[[8, 10],[1, 1],1]:=[1/A^15,Matrix(15, 10, [[0,132,-318,-243,1617,-2294,1631,-672,170,-23],[3,1478,-3849,-489,10992,-14495,8984,-3513,1093,-204],[188,7901,-22378,5002,37107,-44987,23214,-8809,3545,-783],[1691,24644,-79004,33264,80692,-89145,35963,-13330,6877,-1652],[6267,48482,-184047,98304,125871,-124399,36066,-12871,8346,-2019],[12156,63302,-294473,175953,149267,-126981,23854,-8121,6492,-1449],[13805,56339,-330690,209076,137076,-94941,10097,-3415,3264,-611],[9751,34397,-263784,172319,96001,-51055,2441,-967,1045,-148],[4406,14288,-150148,100797,49680,-19221,193,-180,204,-19],[1274,3945,-60797,42177,18340,-4888,-52,-20,22,-1],[228,690,-17288,12538,4640,-794,-14,-1,1,0],[23,69,-3359,2583,759,-74,-1,0,0,0],[1,3,-423,350,72,-3,0,0,0,0],[0,0,-31,28,3,0,0,0,0,0],[0,0,-1,1,0,0,0,0,0,0]])]: Nk[[8, 10],[1, 1],2]:=[1/A^16,Matrix(14, 11, [[38,103,-553,527,190,-565,381,-220,173,-97,23],[394,1183,-5807,4439,3348,-5389,2058,-528,723,-584,163],[2008,6252,-28338,15691,22041,-22708,4230,796,1031,-1483,480],[5886,19039,-82643,28156,79165,-55602,2567,4554,239,-2119,758],[10384,36387,-158122,22550,175425,-86700,-5076,7222,-830,-1922,682],[11454,45328,-207402,-6690,255112,-89298,-12603,5887,-969,-1173,354],[8127,37508,-191018,-34367,252224,-61551,-12796,2736,-490,-477,104],[3757,20816,-124998,-37289,172956,-28329,-7405,728,-131,-121,16],[1123,7743,-58164,-22535,82900,-8545,-2591,103,-18,-17,1],[209,1899,-19035,-8554,27633,-1615,-541,6,-1,-1,0],[22,294,-4267,-2081,6267,-173,-62,0,0,0,0],[1,26,-622,-315,921,-8,-3,0,0,0,0],[0,1,-53,-27,79,0,0,0,0,0,0],[0,0,-2,-1,3,0,0,0,0,0,0]])]: Nk[[8, 16],[1],0]:=[1/A^5,Matrix(4, 4, [[2,-6,4,0],[4,-14,14,-4],[2,-10,10,-2],[0,-2,2,0]])]: Nk[[8, 16],[2],0]:=[1/A^16,Matrix(9, 11, [[0,0,2,14,-103,204,-135,-42,90,-32,1],[0,5,2,75,-564,1203,-1010,171,196,-82,4],[1,4,7,210,-1383,2866,-2598,994,-87,-20,6],[0,2,6,318,-1888,3642,-3234,1547,-482,85,4],[0,0,2,258,-1529,2740,-2210,1092,-430,76,1],[0,0,0,112,-744,1273,-882,383,-164,22,0],[0,0,0,24,-211,362,-212,64,-29,2,0],[0,0,0,2,-32,58,-30,4,-2,0,0],[0,0,0,0,-2,4,-2,0,0,0,0]])]: Nk[[8, 16],[1, 1],0]:=[1/A^16,Matrix(10, 11, [[0,0,2,20,-135,278,-231,32,58,-26,1],[0,5,2,133,-842,1751,-1590,529,70,-62,4],[1,4,7,442,-2457,4768,-4220,1670,-203,-18,6],[0,2,6,788,-4108,7398,-5980,2253,-400,37,4],[0,0,2,794,-4213,7232,-5204,1608,-244,24,1],[0,0,0,468,-2724,4613,-2978,677,-60,4,0],[0,0,0,158,-1105,1904,-1130,178,-5,0,0],[0,0,0,28,-270,484,-270,28,0,0,0],[0,0,0,2,-36,68,-36,2,0,0,0],[0,0,0,0,-2,4,-2,0,0,0,0]])]: Nk[[8, 16],[1],1]:=[1/A^8,Matrix(4, 6, [[0,2,-7,9,-4,1],[1,3,-19,26,-13,2],[0,2,-15,20,-8,1],[0,0,-3,4,-1,0]])]: Nk[[8, 16],[1],2]:=[1/A^7,Matrix(4, 5, [[1,-1,-3,5,-2],[2,-2,-10,15,-5],[0,0,-9,11,-2],[0,0,-2,2,0]])]: Nk[[8, 16],[2],1]:=[1/A^15,Matrix(14, 10, [[0,4,38,-247,526,-533,245,-2,-45,14],[3,299,-412,-1706,4996,-5323,2851,-802,77,17],[159,2839,-6934,-3364,21316,-22350,12027,-5478,2231,-446],[1392,11608,-35949,4216,55772,-53506,25168,-15758,9391,-2334],[4874,26122,-99192,31871,100889,-82520,28998,-25172,19197,-5067],[8490,35728,-167770,68091,130771,-86128,18873,-25078,22843,-5820],[8263,30790,-184618,82772,120672,-61088,6571,-16510,16973,-3825],[4786,16870,-136117,65392,77837,-28934,893,-7313,8065,-1479],[1687,5824,-68030,35207,34356,-8886,-108,-2152,2434,-332],[355,1222,-22974,13044,10077,-1684,-47,-402,449,-40],[41,142,-5135,3266,1867,-178,-4,-43,46,-2],[2,7,-724,526,197,-8,0,-2,2,0],[0,0,-58,49,9,0,0,0,0,0],[0,0,-2,2,0,0,0,0,0,0]])]: Nk[[8, 16],[2],2]:=[1/A^16,Matrix(13, 11, [[0,5,123,-520,707,-295,-60,-50,151,-68,7],[3,347,639,-5203,7612,-3114,-1323,1156,56,-242,69],[145,2783,-19,-23858,36436,-13520,-7548,8491,-3234,26,298],[876,10207,-8312,-65950,102711,-32417,-20267,22976,-11721,1155,742],[2058,20823,-28347,-120067,186596,-46500,-30779,32425,-19204,1923,1072],[2442,25226,-48034,-148196,226694,-40602,-28705,26866,-17815,1230,894],[1639,18830,-49314,-124759,187505,-21377,-16909,13813,-10040,181,431],[650,8843,-32653,-71468,106336,-6415,-6258,4487,-3486,-154,118],[151,2612,-14185,-27591,41174,-869,-1402,900,-726,-81,17],[19,470,-4002,-7020,10667,34,-173,102,-83,-15,1],[1,47,-704,-1123,1764,24,-9,5,-4,-1,0],[0,2,-70,-102,168,2,0,0,0,0,0],[0,0,-3,-4,7,0,0,0,0,0,0]])]: Nk[[8, 16],[1, 1],1]:=[1/A^15,Matrix(15, 10, [[0,4,52,-321,680,-695,341,-42,-29,10],[3,365,-402,-2633,7222,-7510,3820,-986,122,-1],[195,4060,-9356,-7105,34885,-35245,16245,-4974,1633,-338],[2017,19418,-57143,676,103411,-97327,35941,-11013,5382,-1362],[8508,51311,-183219,49339,211206,-177224,46705,-13128,8833,-2331],[18240,83476,-361718,136732,310664,-221526,37173,-9391,8401,-2051],[22319,87670,-470359,202675,331824,-191343,17668,-4349,4882,-987],[16681,60538,-417059,193677,255228,-113520,4346,-1367,1738,-262],[7877,27545,-256581,127266,139350,-45653,152,-287,367,-36],[2360,8140,-110029,58864,52992,-12142,-189,-36,42,-2],[435,1499,-32626,19138,13632,-2035,-43,-2,2,0],[45,156,-6529,4273,2252,-194,-3,0,0,0],[2,7,-838,622,215,-8,0,0,0,0],[0,0,-62,53,9,0,0,0,0,0],[0,0,-2,2,0,0,0,0,0,0]])]: Nk[[8, 16],[1, 1],2]:=[1/A^16,Matrix(14, 11, [[0,5,156,-656,895,-349,-181,106,61,-42,5],[3,432,1043,-7486,10957,-4701,-1717,1837,-316,-96,44],[181,4088,1075,-38877,59242,-24247,-7711,8726,-2810,161,172],[1365,17516,-10936,-121474,188863,-67213,-21824,19649,-6998,684,368],[4026,42246,-50029,-251768,392208,-112282,-41556,24581,-8587,735,426],[6072,61941,-103895,-359553,553808,-118338,-52803,18202,-5952,252,266],[5291,57491,-129681,-358294,542953,-79615,-43832,8089,-2438,-53,89],[2821,34637,-105773,-249789,373575,-33522,-23429,2104,-583,-56,15],[935,13681,-58121,-121422,180803,-8159,-7924,294,-75,-13,1],[188,3509,-21610,-40692,61045,-821,-1631,17,-4,-1,0],[21,562,-5346,-9172,14041,80,-186,0,0,0,0],[1,51,-841,-1323,2093,28,-9,0,0,0,0],[0,2,-76,-110,182,2,0,0,0,0,0],[0,0,-3,-4,7,0,0,0,0,0,0]])]: Nk[[8, 17],[1],0]:=[1/A^3,Matrix(4, 4, [[-2,4,-4,2],[-4,14,-14,4],[-2,10,-10,2],[0,2,-2,0]])]: Nk[[8, 17],[2],0]:=[1/A^10,Matrix(9, 11, [[0,5,0,-48,116,-155,136,-64,4,5,0],[1,10,29,-278,648,-892,826,-418,63,10,1],[2,9,84,-629,1490,-2166,2108,-1103,194,9,2],[1,6,108,-746,1773,-2766,2923,-1600,294,6,1],[0,2,72,-493,1150,-2000,2402,-1383,248,2,0],[0,0,21,-174,397,-844,1199,-710,111,0,0],[0,0,2,-30,66,-210,356,-208,24,0,0],[0,0,0,-2,4,-30,58,-32,2,0,0],[0,0,0,0,0,-2,4,-2,0,0,0]])]: Nk[[8, 17],[1, 1],0]:=[1/A^10,Matrix(9, 11, [[0,5,4,-64,136,-155,116,-48,0,5,0],[1,10,63,-418,826,-892,648,-278,29,10,1],[2,9,194,-1103,2108,-2166,1490,-629,84,9,2],[1,6,294,-1600,2923,-2766,1773,-746,108,6,1],[0,2,248,-1383,2402,-2000,1150,-493,72,2,0],[0,0,111,-710,1199,-844,397,-174,21,0,0],[0,0,24,-208,356,-210,66,-30,2,0,0],[0,0,2,-32,58,-30,4,-2,0,0,0],[0,0,0,-2,4,-2,0,0,0,0,0]])]: Nk[[8, 17],[1],1]:=[1/A^4,Matrix(4, 5, [[-1,4,-5,4,-1],[-3,13,-20,13,-3],[-2,11,-18,11,-2],[0,2,-4,2,0]])]: Nk[[8, 17],[1],2]:=[1/A^5,Matrix(4, 6, [[-1,1,2,-2,-1,1],[-1,0,9,-9,0,1],[0,-1,9,-9,1,0],[0,0,2,-2,0,0]])]: Nk[[8, 17],[2],1]:=[1/A^9,Matrix(13, 10, [[1,25,-107,184,-211,240,-241,144,-34,-1],[37,167,-1011,1826,-2078,2458,-2572,1477,-256,-48],[357,342,-4639,8541,-9081,11498,-13315,7504,-695,-512],[1578,-232,-13434,24027,-21941,31122,-42662,24304,-162,-2600],[3557,-2158,-25710,43088,-30821,52192,-89456,53011,3312,-7015],[4368,-4280,-32000,49924,-25325,55646,-124011,77561,8816,-10699],[3065,-4700,-25566,37684,-12138,38269,-114421,75453,12029,-9675],[1259,-3132,-13049,18552,-3316,17002,-70822,48720,10136,-5350],[299,-1264,-4196,5880,-477,4796,-29421,20779,5427,-1823],[38,-299,-818,1153,-28,821,-8074,5752,1828,-373],[2,-38,-88,127,0,77,-1401,990,373,-42],[0,-2,-4,6,0,3,-139,96,42,-2],[0,0,0,0,0,0,-6,4,2,0]])]: Nk[[8, 17],[2],2]:=[1/A^10,Matrix(13, 11, [[1,59,-173,115,133,-277,128,167,-234,80,1],[31,494,-1707,1418,785,-2136,709,2129,-2496,731,42],[203,2139,-8103,7185,2416,-8262,1820,11938,-13176,3530,310],[637,5487,-22156,19111,5766,-20205,4492,36485,-41120,10360,1143],[1019,8406,-36767,29665,9883,-31213,11112,66746,-79959,18849,2259],[882,7650,-38335,28885,10573,-29622,18303,77973,-100116,21289,2518],[430,4153,-25734,18519,6935,-17192,18021,61011,-82801,15005,1653],[118,1344,-11189,7988,2803,-6083,10723,32851,-45840,6634,651],[17,252,-3108,2296,679,-1277,3893,12238,-16966,1825,151],[1,25,-529,420,90,-146,843,3096,-4120,301,19],[0,1,-50,44,5,-7,100,506,-627,27,1],[0,0,-2,2,0,0,5,48,-54,1,0],[0,0,0,0,0,0,0,2,-2,0,0]])]: Nk[[8, 17],[1, 1],1]:=[1/A^9,Matrix(13, 10, [[1,34,-144,241,-240,211,-184,107,-25,-1],[48,256,-1477,2572,-2458,2078,-1826,1011,-167,-37],[512,695,-7504,13315,-11498,9081,-8541,4639,-342,-357],[2600,162,-24304,42662,-31122,21941,-24027,13434,232,-1578],[7015,-3312,-53011,89456,-52192,30821,-43088,25710,2158,-3557],[10699,-8816,-77561,124011,-55646,25325,-49924,32000,4280,-4368],[9675,-12029,-75453,114421,-38269,12138,-37684,25566,4700,-3065],[5350,-10136,-48720,70822,-17002,3316,-18552,13049,3132,-1259],[1823,-5427,-20779,29421,-4796,477,-5880,4196,1264,-299],[373,-1828,-5752,8074,-821,28,-1153,818,299,-38],[42,-373,-990,1401,-77,0,-127,88,38,-2],[2,-42,-96,139,-3,0,-6,4,2,0],[0,-2,-4,6,0,0,0,0,0,0]])]: Nk[[8, 17],[1, 1],2]:=[1/A^10,Matrix(13, 11, [[1,80,-234,167,128,-277,133,115,-173,59,1],[42,731,-2496,2129,709,-2136,785,1418,-1707,494,31],[310,3530,-13176,11938,1820,-8262,2416,7185,-8103,2139,203],[1143,10360,-41120,36485,4492,-20205,5766,19111,-22156,5487,637],[2259,18849,-79959,66746,11112,-31213,9883,29665,-36767,8406,1019],[2518,21289,-100116,77973,18303,-29622,10573,28885,-38335,7650,882],[1653,15005,-82801,61011,18021,-17192,6935,18519,-25734,4153,430],[651,6634,-45840,32851,10723,-6083,2803,7988,-11189,1344,118],[151,1825,-16966,12238,3893,-1277,679,2296,-3108,252,17],[19,301,-4120,3096,843,-146,90,420,-529,25,1],[1,27,-627,506,100,-7,5,44,-50,1,0],[0,1,-54,48,5,0,0,2,-2,0,0],[0,0,-2,2,0,0,0,0,0,0,0]])]: Nk[[8, 19],[1],0]:=[A^5,Matrix(4, 4, [[-10,20,-12,2],[-20,30,-10,0],[-12,14,-2,0],[-2,2,0,0]])]: Nk[[8, 19],[2],0]:=[A^10,Matrix(12, 8, [[320,-1600,3128,-3075,1600,-416,40,2],[2280,-11150,21280,-20260,10140,-2550,260,0],[7084,-35015,66206,-61290,29230,-6843,628,0],[12632,-64270,121010,-108272,48168,-10002,734,0],[14262,-75919,142546,-122198,49584,-8735,460,0],[10606,-60368,113180,-92124,33308,-4760,158,0],[5244,-32945,61822,-47361,14844,-1632,28,0],[1700,-12350,23276,-16640,4354,-342,2,0],[346,-3122,5934,-3926,808,-40,0,0],[40,-508,978,-594,86,-2,0,0],[2,-48,94,-52,4,0,0,0],[0,-2,4,-2,0,0,0,0]])]: Nk[[8, 19],[1, 1],0]:=[A^10,Matrix(11, 8, [[232,-1192,2368,-2355,1240,-328,32,2],[1420,-7090,13660,-13020,6480,-1610,160,0],[3736,-18803,35694,-32786,15318,-3455,296,0],[5578,-28960,54568,-48068,20638,-4012,256,0],[5190,-28443,53376,-44690,17186,-2731,112,0],[3098,-18508,34696,-27332,9142,-1120,24,0],[1180,-8059,15152,-11115,3112,-272,2,0],[276,-2318,4392,-2970,656,-36,0,0],[36,-422,810,-500,78,-2,0,0],[2,-44,86,-48,4,0,0,0],[0,-2,4,-2,0,0,0,0]])]: Nk[[8, 19],[1],1]:=[A^6,Matrix(4, 3, [[10,-15,6],[15,-20,5],[7,-8,1],[1,-1,0]])]: Nk[[8, 19],[1],2]:=[1,Matrix(3, 0, [[],[],[]])]: Nk[[8, 19],[2],1]:=[A^11,Matrix(15, 6, [[-750,3300,-5590,4470,-1620,190],[-5425,27200,-49845,40925,-14100,1245],[-17325,103245,-208513,176489,-57299,3403],[-32020,233835,-525576,457606,-138841,4996],[-37920,348942,-880083,785953,-221259,4367],[-30177,360999,-1031637,942490,-244055,2380],[-16472,266337,-873189,814080,-191572,816],[-6175,142083,-543170,515506,-108415,171],[-1561,54921,-250153,241067,-44294,20],[-254,15227,-85099,83052,-12927,1],[-24,2950,-21102,20801,-2625,0],[-1,379,-3707,3681,-352,0],[0,29,-437,436,-28,0],[0,1,-31,31,-1,0],[0,0,-1,1,0,0]])]: Nk[[8, 19],[2],2]:=[A^14,Matrix(15, 6, [[-468,1170,-780,0,0,78],[-6396,16575,-11180,0,0,1001],[-35113,95719,-65611,0,0,5005],[-103246,301236,-210860,0,0,12870],[-186043,590161,-423566,0,0,19448],[-221494,775385,-572455,0,0,18564],[-182036,714154,-543746,0,0,11628],[-105774,473195,-372266,0,0,4845],[-43833,228438,-185935,0,0,1330],[-12881,80453,-67803,0,0,231],[-2623,20450,-17850,0,0,23],[-352,3653,-3302,0,0,1],[-28,435,-407,0,0,0],[-1,31,-30,0,0,0],[0,1,-1,0,0,0]])]: Nk[[8, 19],[1, 1],1]:=[A^11,Matrix(14, 6, [[-546,2460,-4250,3450,-1260,146],[-3395,17680,-33175,27535,-9420,775],[-9219,58207,-121175,103535,-33057,1709],[-14365,113889,-266195,233957,-69287,2001],[-14182,145949,-386965,348967,-95134,1365],[-9247,128480,-391192,361001,-89602,560],[-4029,79595,-282810,266337,-59229,136],[-1159,34997,-148258,142083,-27681,18],[-211,10858,-56482,54921,-9087,1],[-22,2323,-15481,15227,-2047,0],[-1,326,-2974,2950,-301,0],[0,27,-380,379,-26,0],[0,1,-29,29,-1,0],[0,0,-1,1,0,0]])]: Nk[[8, 19],[1, 1],2]:=[A^14,Matrix(14, 6, [[-396,990,-660,0,0,66],[-4620,12045,-8140,0,0,715],[-21659,59873,-41217,0,0,3003],[-54340,162371,-114466,0,0,6435],[-83226,273559,-198341,0,0,8008],[-83603,307463,-230048,0,0,6188],[-57308,240159,-185911,0,0,3060],[-27302,133247,-106914,0,0,969],[-9045,52898,-44043,0,0,190],[-2045,14927,-12903,0,0,21],[-301,2924,-2624,0,0,1],[-26,378,-352,0,0,0],[-1,29,-28,0,0,0],[0,1,-1,0,0,0]])]: Nk[[8, 20],[1],0]:=[1/A^5,Matrix(3, 4, [[4,-12,10,-2],[2,-10,10,-2],[0,-2,2,0]])]: Nk[[8, 20],[2],0]:=[1/A^12,Matrix(7, 9, [[9,22,-216,462,-442,194,-25,-6,1],[24,60,-632,1340,-1212,484,-60,-4,0],[22,84,-817,1662,-1364,458,-45,0,0],[8,58,-564,1106,-804,208,-12,0,0],[1,18,-211,408,-261,46,-1,0,0],[0,2,-40,78,-44,4,0,0,0],[0,0,-3,6,-3,0,0,0,0]])]: Nk[[8, 20],[1, 1],0]:=[1/A^12,Matrix(8, 9, [[9,40,-300,620,-594,272,-45,-4,1],[24,150,-1050,2090,-1864,762,-110,-2,0],[22,268,-1685,3154,-2524,854,-89,0,0],[8,242,-1500,2684,-1904,498,-28,0,0],[1,110,-765,1352,-857,162,-3,0,0],[0,24,-220,396,-228,28,0,0,0],[0,2,-33,62,-33,2,0,0,0],[0,0,-2,4,-2,0,0,0,0]])]: Nk[[8, 20],[1],1]:=[1/A^6,Matrix(4, 5, [[3,-10,12,-5,1],[4,-15,16,-5,0],[1,-7,7,-1,0],[0,-1,1,0,0]])]: Nk[[8, 20],[1],2]:=[1,Matrix(3, 0, [[],[],[]])]: Nk[[8, 20],[2],1]:=[1/A^11,Matrix(14, 8, [[163,-723,1301,-1217,631,-179,25,-1],[1459,-6030,9636,-7506,2970,-589,61,-1],[6463,-25270,36235,-23553,6911,-836,50,0],[17319,-66196,86737,-47418,10208,-667,17,0],[30172,-116549,142053,-65559,10204,-323,2,0],[35400,-142768,164366,-63878,6974,-94,0,0],[28479,-123929,136524,-44288,3229,-15,0,0],[15809,-76877,81912,-21832,989,-1,0,0],[6023,-34068,35419,-7565,191,0,0,0],[1542,-10670,10902,-1795,21,0,0,0],[253,-2302,2325,-277,1,0,0,0],[24,-325,326,-25,0,0,0,0],[1,-27,27,-1,0,0,0,0],[0,-1,1,0,0,0,0,0]])]: Nk[[8, 20],[2],2]:=[1/A^12,Matrix(14, 9, [[248,-954,1413,-1015,399,-138,65,-21,3],[2419,-9185,12990,-8445,2575,-469,155,-41,1],[10970,-40936,54318,-31193,7435,-708,143,-29,0],[28819,-107691,134330,-67226,12320,-606,63,-9,0],[47840,-183768,217177,-93757,12806,-310,13,-1,0],[52677,-213996,241766,-89041,8686,-93,1,0,0],[39561,-175117,190771,-59093,3893,-15,0,0,0],[20519,-102241,108245,-27663,1141,-1,0,0,0],[7335,-42733,44274,-9086,210,0,0,0,0],[1772,-12673,12926,-2047,22,0,0,0,0],[276,-2601,2625,-301,1,0,0,0,0],[25,-351,352,-26,0,0,0,0,0],[1,-28,28,-1,0,0,0,0,0],[0,-1,1,0,0,0,0,0,0]])]: Nk[[8, 20],[1, 1],1]:=[1/A^11,Matrix(15, 7, [[208,-944,1734,-1642,842,-222,24],[2107,-8865,14524,-11641,4676,-856,55],[10561,-41834,61612,-41798,12948,-1529,40],[32160,-123599,166318,-95920,22662,-1632,11],[64264,-247000,308745,-151799,26894,-1105,1],[87697,-347013,408847,-171220,22160,-471,0],[83551,-350248,393823,-139736,12731,-121,0],[56187,-256993,278670,-82900,5053,-17,0],[26713,-137658,145204,-35610,1352,-1,0],[8897,-53635,55429,-10923,232,0,0],[2026,-14998,15275,-2326,23,0,0],[300,-2927,2952,-326,1,0,0],[26,-378,379,-27,0,0,0],[1,-29,29,-1,0,0,0],[0,-1,1,0,0,0,0]])]: Nk[[8, 20],[1, 1],2]:=[1/A^12,Matrix(15, 9, [[315,-1214,1794,-1260,438,-100,36,-10,1],[3465,-13225,18885,-12420,3714,-470,66,-15,0],[17878,-67003,90314,-53437,13273,-1060,42,-7,0],[53910,-201207,255638,-133587,26585,-1349,11,-1,0],[103753,-394200,474873,-216810,33397,-1014,1,0,0],[134083,-531391,611656,-241661,27769,-456,0,0,0],[120036,-509029,564214,-190755,15654,-120,0,0,0],[75736,-353077,379598,-108244,6004,-17,0,0,0],[33858,-178831,187707,-44274,1541,-1,0,0,0],[10648,-66054,68079,-12926,253,0,0,0,0],[2301,-17575,17875,-2625,24,0,0,0,0],[325,-3277,3303,-352,1,0,0,0,0],[27,-406,407,-28,0,0,0,0,0],[1,-30,30,-1,0,0,0,0,0],[0,-1,1,0,0,0,0,0,0]])]: Nk[[8, 21],[1],0]:=[A,Matrix(3, 4, [[-6,12,-8,2],[-4,10,-8,2],[0,2,-2,0]])]: Nk[[8, 21],[2],0]:=[A^2,Matrix(9, 9, [[26,-149,336,-407,282,-103,12,2,0],[31,-292,949,-1524,1303,-548,77,0,4],[8,-238,1272,-2788,2942,-1455,252,3,4],[0,-104,1034,-3088,3904,-2154,403,4,1],[0,-23,528,-2148,3128,-1808,322,1,0],[0,-2,164,-930,1507,-870,131,0,0],[0,0,28,-241,424,-237,26,0,0],[0,0,2,-34,64,-34,2,0,0],[0,0,0,-2,4,-2,0,0,0]])]: Nk[[8, 21],[1, 1],0]:=[A^2,Matrix(8, 9, [[22,-121,260,-303,206,-75,8,2,0],[23,-200,623,-988,847,-352,43,0,4],[4,-120,658,-1486,1586,-759,110,3,4],[0,-32,394,-1282,1658,-880,137,4,1],[0,-3,138,-658,996,-554,80,1,0],[0,0,26,-196,335,-186,21,0,0],[0,0,2,-31,58,-31,2,0,0],[0,0,0,-2,4,-2,0,0,0]])]: Nk[[8, 21],[1],1]:=[A^2,Matrix(4, 4, [[5,-9,7,-2],[4,-12,11,-3],[1,-6,6,-1],[0,-1,1,0]])]: Nk[[8, 21],[1],2]:=[A,Matrix(3, 5, [[-1,1,3,-5,2],[0,0,4,-5,1],[0,0,1,-1,0]])]: Nk[[8, 21],[2],1]:=[A^3,Matrix(17, 8, [[-53,312,-773,1039,-800,329,-50,-4],[-126,1230,-4215,6782,-4953,503,1291,-512],[-115,2381,-12138,23006,-10884,-17178,21993,-7065],[-54,3007,-23942,52169,6899,-136406,142049,-43722],[-12,2601,-34514,88766,91631,-507153,512382,-153701],[-1,1519,-36602,120793,230705,-1149705,1173544,-340253],[0,580,-28184,131898,324179,-1750189,1824581,-502865],[0,137,-15463,111457,295585,-1881811,2004763,-514668],[0,18,-5910,70107,184575,-1471546,1595943,-373187],[0,1,-1525,31905,80549,-850516,933612,-194026],[0,0,-252,10256,24561,-365523,403423,-72465],[0,0,-24,2258,5129,-116403,128295,-19255],[0,0,-1,323,699,-27078,29606,-3549],[0,0,0,27,56,-4468,4816,-431],[0,0,0,1,2,-495,523,-31],[0,0,0,0,0,-33,34,-1],[0,0,0,0,0,-1,1,0]])]: Nk[[8, 21],[2],2]:=[A^2,Matrix(16, 9, 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