#the list-of-lists-of-lists below, called gu is such that gu[i+1][j+1]]k+1] is the #limit, as c->1 (from below) of the (i,j,k)-mixed SCALED moment of the #tri-variate distribution whose joint pdf is #exp(-x^2/2-y^2/2-z^2/2 -(x*y+x*z+y*z)*c)/sqrt(2*Pi)^3/(c+1)*(1-c^2)*sqrt(1+2*c): # gu:= [[[1, 0, 1, 0, 3, 0, 15, 0, 105, 0, 945, 0, 10395, 0, 135135, 0, 2027025], [0, -1/2, 0, -3/2, 0, -15/2, 0, -105/2, 0, -945/2, 0, -10395/2, 0, -135135/2, 0, -\ 2027025/2, 0], [1, 0, 3/2, 0, 6, 0, 75/2, 0, 315, 0, 6615/2, 0, 41580, 0, 1216215/2, 0, 10135125], [0, -3/2, 0, -21/4, 0, -30, 0, -945/4, 0, -4725/2, 0, -114345/4, 0, -405405, 0, -26351325/4, 0], [3, 0, 6, 0, 57/2, 0, 405/2, 0, 1890 , 0, 21735, 0, 592515/2, 0, 9324315/2, 0, 83108025], [0, -15/2, 0, -30, 0, -765 /4, 0, -6615/4, 0, -17955, 0, -467775/2, 0, -14189175/4, 0, -245270025/4, 0], [ 15, 0, 75/2, 0, 405/2, 0, 6345/4, 0, 16065, 0, 198450, 0, 5769225/2, 0, 192567375/4, 0, 906080175], [0, -105/2, 0, -945/4, 0, -6615/4, 0, -123795/8, 0, -360045/2, 0, -2494800, 0, -160134975/4, 0, -5831750925/8, 0], [105, 0, 315, 0, 1890, 0, 16065, 0, 348705/2, 0, 4578525/2, 0, 70322175/2, 0, 1234458225/2, 0, 12174312150], [0, -945/2, 0, -4725/2, 0, -17955, 0, -360045/2, 0, -8899065/4, 0 , -130197375/4, 0, -2195268075/4, 0, -41843877075/4, 0], [945, 0, 6615/2, 0, 21735, 0, 198450, 0, 4578525/2, 0, 126908775/4, 0, 511745850, 0, 37587124575/4, 0, 193256563500], [0, -10395/2, 0, -114345/4, 0, -467775/2, 0, -2494800, 0, -\ 130197375/4, 0, -3999944025/8, 0, -17629036425/2, 0, -1400684410125/8, 0], [ 10395, 0, 41580, 0, 592515/2, 0, 5769225/2, 0, 70322175/2, 0, 511745850, 0, 34516649475/4, 0, 660264880275/4, 0, 3526506608625], [0, -135135/2, 0, -405405, 0, -14189175/4, 0, -160134975/4, 0, -2195268075/4, 0, -17629036425/2, 0, -\ 1294910191575/8, 0, -26712186125625/8, 0], [135135, 0, 1216215/2, 0, 9324315/2, 0, 192567375/4, 0, 1234458225/2, 0, 37587124575/4, 0, 660264880275/4, 0, 26231258228175/8, 0, 72556772037750], [0, -2027025/2, 0, -26351325/4, 0, -\ 245270025/4, 0, -5831750925/8, 0, -41843877075/4, 0, -1400684410125/8, 0, -\ 26712186125625/8, 0, -1141410084940125/16, 0], [2027025, 0, 10135125, 0, 83108025, 0, 906080175, 0, 12174312150, 0, 193256563500, 0, 3526506608625, 0, 72556772037750, 0, 3318113246072625/2]], [[0, -1/2, 0, -3/2, 0, -15/2, 0, -105/ 2, 0, -945/2, 0, -10395/2, 0, -135135/2, 0, -2027025/2, 0], [-1/2, 0, 0, 0, 3/2 , 0, 15, 0, 315/2, 0, 1890, 0, 51975/2, 0, 405405, 0, 14189175/2], [0, 0, 0, -3 /4, 0, -15/2, 0, -315/4, 0, -945, 0, -51975/4, 0, -405405/2, 0, -14189175/4, 0] , [-3/2, 0, -3/4, 0, 3/2, 0, 135/4, 0, 945/2, 0, 27405/4, 0, 218295/2, 0, 7702695/4, 0, 74999925/2], [0, 3/2, 0, 3/2, 0, -45/4, 0, -945/4, 0, -3780, 0, -\ 62370, 0, -4459455/4, 0, -87162075/4, 0], [-15/2, 0, -15/2, 0, -45/4, 0, 135/2, 0, 1890, 0, 70875/2, 0, 2650725/4, 0, 26351325/2, 0, 565539975/2], [0, 15, 0, 135/4, 0, 135/2, 0, -4725/8, 0, -36855/2, 0, -779625/2, 0, -8108100, 0, -\ 1416890475/8, 0], [-105/2, 0, -315/4, 0, -945/4, 0, -4725/8, 0, 5670, 0, 411075 /2, 0, 19490625/4, 0, 893918025/8, 0, 5320940625/2], [0, 315/2, 0, 945/2, 0, 1890, 0, 5670, 0, -257985/4, 0, -10446975/4, 0, -273648375/4, 0, -6853371525/4, 0], [-945/2, 0, -945, 0, -3780, 0, -36855/2, 0, -257985/4, 0, 822150, 0, 148284675/4, 0, 1064188125, 0, 28903349475], [0, 1890, 0, 27405/4, 0, 70875/2, 0, 411075/2, 0, 822150, 0, -94022775/8, 0, -2329051725/4, 0, -145368097875/8, 0 ], [-10395/2, 0, -51975/4, 0, -62370, 0, -779625/2, 0, -10446975/4, 0, -\ 94022775/8, 0, 741423375/4, 0, 80154649575/8, 0, 337773310875], [0, 51975/2, 0, 218295/2, 0, 2650725/4, 0, 19490625/4, 0, 148284675/4, 0, 741423375/4, 0, -\ 25619568975/8, 0, -1499866743375/8, 0], [-135135/2, 0, -405405/2, 0, -4459455/4 , 0, -8108100, 0, -273648375/4, 0, -2329051725/4, 0, -25619568975/8, 0, 240463948725/4, 0, 7579786339125/2], [0, 405405, 0, 7702695/4, 0, 26351325/2, 0 , 893918025/8, 0, 1064188125, 0, 80154649575/8, 0, 240463948725/4, 0, -\ 19498267663875/16, 0], [-2027025/2, 0, -14189175/4, 0, -87162075/4, 0, -\ 1416890475/8, 0, -6853371525/4, 0, -145368097875/8, 0, -1499866743375/8, 0, -\ 19498267663875/16, 0, 53058504373875/2], [0, 14189175/2, 0, 74999925/2, 0, 565539975/2, 0, 5320940625/2, 0, 28903349475, 0, 337773310875, 0, 7579786339125 /2, 0, 53058504373875/2, 0]], [[1, 0, 3/2, 0, 6, 0, 75/2, 0, 315, 0, 6615/2, 0, 41580, 0, 1216215/2, 0, 10135125], [0, 0, 0, -3/4, 0, -15/2, 0, -315/4, 0, -945 , 0, -51975/4, 0, -405405/2, 0, -14189175/4, 0], [3/2, 0, 3/2, 0, 6, 0, 45, 0, 945/2, 0, 12285/2, 0, 93555, 0, 1621620, 0, 62837775/2], [0, -3/4, 0, -3, 0, -\ 45/2, 0, -945/4, 0, -12285/4, 0, -93555/2, 0, -810810, 0, -62837775/4, 0], [6, 0, 6, 0, 45/2, 0, 675/4, 0, 1890, 0, 53865/2, 0, 904365/2, 0, 34459425/4, 0, 182432250], [0, -15/2, 0, -45/2, 0, -135, 0, -10395/8, 0, -17010, 0, -1091475/4 , 0, -10135125/2, 0, -845269425/8, 0], [75/2, 0, 45, 0, 675/4, 0, 4725/4, 0, 25515/2, 0, 184275, 0, 12941775/4, 0, 261486225/4, 0, 2949321375/2], [0, -315/4 , 0, -945/4, 0, -10395/8, 0, -11340, 0, -564165/4, 0, -4521825/2, 0, -346621275 /8, 0, -3788509725/4, 0], [315, 0, 945/2, 0, 1890, 0, 25515/2, 0, 257985/2, 0, 7158375/4, 0, 31340925, 0, 2596619025/4, 0, 15239173950], [0, -945, 0, -12285/4 , 0, -17010, 0, -564165/4, 0, -1644300, 0, -202546575/8, 0, -1927700775/4, 0, -\ 85858697925/8, 0], [6615/2, 0, 12285/2, 0, 53865/2, 0, 184275, 0, 7158375/4, 0, 94022775/4, 0, 793814175/2, 0, 16303362075/2, 0, 194107914000], [0, -51975/4, 0 , -93555/2, 0, -1091475/4, 0, -4521825/2, 0, -202546575/8, 0, -741423375/2, 0, -6816885075, 0, -1202319743625/8, 0], [41580, 0, 93555, 0, 904365/2, 0, 12941775/4, 0, 31340925, 0, 793814175/2, 0, 25619568975/4, 0, 1018938845925/8, 0, 2999733486750], [0, -405405/2, 0, -810810, 0, -10135125/2, 0, -346621275/8, 0, -1927700775/4, 0, -6816885075, 0, -240463948725/2, 0, -41140023049125/16, 0] , [1216215/2, 0, 1621620, 0, 34459425/4, 0, 261486225/4, 0, 2596619025/4, 0, 16303362075/2, 0, 1018938845925/8, 0, 19498267663875/8, 0, 55776653682750], [0, -14189175/4, 0, -62837775/4, 0, -845269425/8, 0, -3788509725/4, 0, -85858697925 /8, 0, -1202319743625/8, 0, -41140023049125/16, 0, -53058504373875, 0], [ 10135125, 0, 62837775/2, 0, 182432250, 0, 2949321375/2, 0, 15239173950, 0, 194107914000, 0, 2999733486750, 0, 55776653682750, 0, 2469177176090625/2]], [[0 , -3/2, 0, -21/4, 0, -30, 0, -945/4, 0, -4725/2, 0, -114345/4, 0, -405405, 0, -\ 26351325/4, 0], [-3/2, 0, -3/4, 0, 3/2, 0, 135/4, 0, 945/2, 0, 27405/4, 0, 218295/2, 0, 7702695/4, 0, 74999925/2], [0, -3/4, 0, -3, 0, -45/2, 0, -945/4, 0 , -12285/4, 0, -93555/2, 0, -810810, 0, -62837775/4, 0], [-21/4, 0, -3, 0, 0, 0 , 135/2, 0, 4725/4, 0, 19845, 0, 717255/2, 0, 14189175/2, 0, 614188575/4], [0, 3/2, 0, 0, 0, -135/4, 0, -4725/8, 0, -19845/2, 0, -717255/4, 0, -14189175/4, 0, -614188575/8, 0], [-30, 0, -45/2, 0, -135/4, 0, 945/8, 0, 8505/2, 0, 354375/4, 0, 7328475/4, 0, 322296975/8, 0, 954728775], [0, 135/4, 0, 135/2, 0, 945/8, 0, -2835/2, 0, -172935/4, 0, -3898125/4, 0, -176351175/8, 0, -2110133025/4, 0], [-\ 945/4, 0, -945/4, 0, -4725/8, 0, -2835/2, 0, 48195/4, 0, 1885275/4, 0, 95893875 /8, 0, 297972675, 0, 30946590675/4], [0, 945/2, 0, 4725/4, 0, 8505/2, 0, 48195/ 4, 0, -581175/4, 0, -48180825/8, 0, -334459125/2, 0, -36054693675/8, 0], [-4725 /2, 0, -12285/4, 0, -19845/2, 0, -172935/4, 0, -581175/4, 0, 14501025/8, 0, 340072425/4, 0, 20645249625/8, 0, 75089114100], [0, 27405/4, 0, 19845, 0, 354375/4, 0, 1885275/4, 0, 14501025/8, 0, -26195400, 0, -2669591925/2, 0, -\ 350543568375/8, 0], [-114345/4, 0, -93555/2, 0, -717255/4, 0, -3898125/4, 0, -\ 48180825/8, 0, -26195400, 0, 1647971325/4, 0, 45845224425/2, 0, 810272838375], [0, 218295/2, 0, 717255/2, 0, 7328475/4, 0, 95893875/8, 0, 340072425/4, 0, 1647971325/4, 0, -57083051025/8, 0, -6855712738875/16, 0], [-405405, 0, -810810 , 0, -14189175/4, 0, -176351175/8, 0, -334459125/2, 0, -2669591925/2, 0, -\ 57083051025/8, 0, 2143487721375/16, 0, 17303060399625/2], [0, 7702695/4, 0, 14189175/2, 0, 322296975/8, 0, 297972675, 0, 20645249625/8, 0, 45845224425/2, 0 , 2143487721375/16, 0, -2718149308875, 0], [-26351325/4, 0, -62837775/4, 0, -\ 614188575/8, 0, -2110133025/4, 0, -36054693675/8, 0, -350543568375/8, 0, -\ 6855712738875/16, 0, -2718149308875, 0, 59201636744250], [0, 74999925/2, 0, 614188575/4, 0, 954728775, 0, 30946590675/4, 0, 75089114100, 0, 810272838375, 0 , 17303060399625/2, 0, 59201636744250, 0]], [[3, 0, 6, 0, 57/2, 0, 405/2, 0, 1890, 0, 21735, 0, 592515/2, 0, 9324315/2, 0, 83108025], [0, 3/2, 0, 3/2, 0, -\ 45/4, 0, -945/4, 0, -3780, 0, -62370, 0, -4459455/4, 0, -87162075/4, 0], [6, 0, 6, 0, 45/2, 0, 675/4, 0, 1890, 0, 53865/2, 0, 904365/2, 0, 34459425/4, 0, 182432250], [0, 3/2, 0, 0, 0, -135/4, 0, -4725/8, 0, -19845/2, 0, -717255/4, 0, -14189175/4, 0, -614188575/8, 0], [57/2, 0, 45/2, 0, 135/2, 0, 945/2, 0, 5670, 0, 90720, 0, 1715175, 0, 36486450, 0, 1708782075/2], [0, -45/4, 0, -135/4, 0, -\ 945/4, 0, -2835, 0, -45360, 0, -1715175/2, 0, -18243225, 0, -1708782075/4, 0], [405/2, 0, 675/4, 0, 945/2, 0, 2835, 0, 31185, 0, 1006425/2, 0, 20114325/2, 0, 918242325/4, 0, 11560123575/2], [0, -945/4, 0, -4725/8, 0, -2835, 0, -48195/2, 0, -326025, 0, -23856525/4, 0, -261486225/2, 0, -25838487675/8, 0], [1890, 0, 1890, 0, 5670, 0, 31185, 0, 581175/2, 0, 4209975, 0, 328845825/4, 0, 7704722025 /4, 0, 50825624850], [0, -3780, 0, -19845/2, 0, -45360, 0, -326025, 0, -\ 14501025/4, 0, -235290825/4, 0, -9966881925/8, 0, -250169344425/8, 0], [21735, 0, 53865/2, 0, 90720, 0, 1006425/2, 0, 4209975, 0, 52390800, 0, 3691212525/4, 0 , 167162670675/8, 0, 557421739875], [0, -62370, 0, -717255/4, 0, -1715175/2, 0, -23856525/4, 0, -235290825/4, 0, -1647971325/2, 0, -126297846675/8, 0, -\ 6108652675125/16, 0], [592515/2, 0, 904365/2, 0, 1715175, 0, 20114325/2, 0, 328845825/4, 0, 3691212525/4, 0, 57083051025/4, 0, 1178056254375/4, 0, 15130839598875/2], [0, -4459455/4, 0, -14189175/4, 0, -18243225, 0, -261486225/ 2, 0, -9966881925/8, 0, -126297846675/8, 0, -2143487721375/8, 0, -\ 11866761781875/2, 0], [9324315/2, 0, 34459425/4, 0, 36486450, 0, 918242325/4, 0 , 7704722025/4, 0, 167162670675/8, 0, 1178056254375/4, 0, 5436298617750, 0, 257028888241125/2], [0, -87162075/4, 0, -614188575/8, 0, -1708782075/4, 0, -\ 25838487675/8, 0, -250169344425/8, 0, -6108652675125/16, 0, -11866761781875/2, 0, -118403273488500, 0], [83108025, 0, 182432250, 0, 1708782075/2, 0, 11560123575/2, 0, 50825624850, 0, 557421739875, 0, 15130839598875/2, 0, 257028888241125/2, 0, 5513079152455875/2]], [[0, -15/2, 0, -30, 0, -765/4, 0, -\ 6615/4, 0, -17955, 0, -467775/2, 0, -14189175/4, 0, -245270025/4, 0], [-15/2, 0 , -15/2, 0, -45/4, 0, 135/2, 0, 1890, 0, 70875/2, 0, 2650725/4, 0, 26351325/2, 0, 565539975/2], [0, -15/2, 0, -45/2, 0, -135, 0, -10395/8, 0, -17010, 0, -\ 1091475/4, 0, -10135125/2, 0, -845269425/8, 0], [-30, 0, -45/2, 0, -135/4, 0, 945/8, 0, 8505/2, 0, 354375/4, 0, 7328475/4, 0, 322296975/8, 0, 954728775], [0, -45/4, 0, -135/4, 0, -945/4, 0, -2835, 0, -45360, 0, -1715175/2, 0, -18243225, 0, -1708782075/4, 0], [-765/4, 0, -135, 0, -945/4, 0, 0, 0, 14175, 0, 354375, 0 , 16372125/2, 0, 395269875/2, 0, 20402006625/4], [0, 135/2, 0, 945/8, 0, 0, 0, -14175/2, 0, -354375/2, 0, -16372125/4, 0, -395269875/4, 0, -20402006625/8, 0], [-6615/4, 0, -10395/8, 0, -2835, 0, -14175/2, 0, 70875/2, 0, 7016625/4, 0, 194126625/4, 0, 10429043625/8, 0, 146219448375/4], [0, 1890, 0, 8505/2, 0, 14175, 0, 70875/2, 0, -2338875/4, 0, -23388750, 0, -5442562125/8, 0, -\ 156435654375/8, 0], [-17955, 0, -17010, 0, -45360, 0, -354375/2, 0, -2338875/4, 0, 25727625/4, 0, 2584456875/8, 0, 41503336875/4, 0, 321810489000], [0, 70875/2 , 0, 354375/4, 0, 354375, 0, 7016625/4, 0, 25727625/4, 0, -395269875/4, 0, -\ 5108103000, 0, -2810095162875/16, 0], [-467775/2, 0, -1091475/4, 0, -1715175/2, 0, -16372125/4, 0, -23388750, 0, -395269875/4, 0, 12131744625/8, 0, 1396427657625/16, 0, 3229598121750], [0, 2650725/4, 0, 7328475/4, 0, 16372125/2 , 0, 194126625/4, 0, 2584456875/8, 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