<<PolylogTools`

L6[x_]:=-G[0,0,0,0,0,1/x,1];

L6[x]//CreateTensor//sh//flatTensor//Expand

fe = (2/3) L6i[((-1+x)/(x^2))]-(2/3) L6i[-(1/((-1+x) x))]-(2/3) L6i[-((((-1+x))^2)/x)]-L6i[(1/(1-x+(x^2)))]+2 L6i[-((-1+x)/(1-x+(x^2)))]-L6i[((((-1+x))^2)/(1-x+(x^2)))]+2 L6i[(x/(1-x+(x^2)))]+2 L6i[(((-1+x) x)/(1-x+(x^2)))]-L6i[((x^2)/(1-x+(x^2)))]-(1/3) L6i[-((-1+x)/((x^2) (-1+y)))]+(1/3) L6i[(1/((-1+x) x (-1+y)))]+(1/3) L6i[((((-1+x))^2)/(x (-1+y)))]-(1/3) L6i[(x/((((-1+x))^2) (-1+y)))]-(1/3) L6i[(((-1+x) x)/(-1+y))]+(1/3) L6i[-((x^2)/((-1+x) (-1+y)))]+(1/2) L6i[-(1/((1-x+(x^2)) (-1+y)))]-L6i[((-1+x)/((1-x+(x^2)) (-1+y)))]+(1/2) L6i[-((((-1+x))^2)/((1-x+(x^2)) (-1+y)))]-L6i[-(x/((1-x+(x^2)) (-1+y)))]-L6i[-(((-1+x) x)/((1-x+(x^2)) (-1+y)))]+(1/2) L6i[-((x^2)/((1-x+(x^2)) (-1+y)))]-(1/2) L6i[-((1-x+(x^2))/(-1+y))]-(1/2) L6i[-((1-x+(x^2))/((((-1+x))^2) (-1+y)))]+L6i[((1-x+(x^2))/((-1+x) (-1+y)))]-(1/2) L6i[-((1-x+(x^2))/((x^2) (-1+y)))]+L6i[-((1-x+(x^2))/(x (-1+y)))]+L6i[-((1-x+(x^2))/((-1+x) x (-1+y)))]-(1/60) L6i[(((((1-x+(x^2)))^3) (-1+y))/((((-1+x))^2) (x^2) (y^3)))]-(1/60) L6i[(((((1-x+(x^2)))^3) (((-1+y))^2))/((((-1+x))^2) (x^2) (y^3)))]+(1/60) L6i[-(((((-1+x))^2) (x^2))/((((1-x+(x^2)))^3) (-1+y) (y^2)))]+(1/36) L6i[-(((((-1+x))^2) (-1+y))/((x^2) (1-x+(x^2)) (y^2)))]-(1/45) L6i[-((-1+y)/((-1+x) x (1-x+(x^2)) (y^2)))]-(1/45) L6i[-(((((-1+x))^4) (-1+y))/(x (1-x+(x^2)) (y^2)))]+(1/36) L6i[-(((x^2) (-1+y))/((((-1+x))^2) (1-x+(x^2)) (y^2)))]+(1/36) L6i[-(((((-1+x))^2) (x^2) (-1+y))/((1-x+(x^2)) (y^2)))]-(1/45) L6i[(((x^4) (-1+y))/((-1+x) (1-x+(x^2)) (y^2)))]+(1/9) L6i[-(((((1-x+(x^2)))^2) (-1+y))/((-1+x) (x^2) (y^2)))]+(1/9) L6i[(((((1-x+(x^2)))^2) (-1+y))/((((-1+x))^2) x (y^2)))]+(1/9) L6i[(((((1-x+(x^2)))^2) (-1+y))/((-1+x) x (y^2)))]+(1/60) L6i[-(((((-1+x))^2) (x^2) (((-1+y))^3))/((((1-x+(x^2)))^3) (y^2)))]-(1/3) L6i[((-1+x)/((x^2) y))]+(1/3) L6i[-(1/((-1+x) x y))]+(1/3) L6i[-((((-1+x))^2)/(x y))]-(1/3) L6i[-(x/((((-1+x))^2) y))]-(1/3) L6i[-(((-1+x) x)/y)]+(1/3) L6i[((x^2)/((-1+x) y))]+(1/2) L6i[(1/((1-x+(x^2)) y))]-L6i[-((-1+x)/((1-x+(x^2)) y))]+(1/2) L6i[((((-1+x))^2)/((1-x+(x^2)) y))]-L6i[(x/((1-x+(x^2)) y))]-L6i[(((-1+x) x)/((1-x+(x^2)) y))]+(1/2) L6i[((x^2)/((1-x+(x^2)) y))]-(1/2) L6i[((1-x+(x^2))/y)]-(1/2) L6i[((1-x+(x^2))/((((-1+x))^2) y))]+L6i[-((1-x+(x^2))/((-1+x) y))]-(1/2) L6i[((1-x+(x^2))/((x^2) y))]+L6i[((1-x+(x^2))/(x y))]+L6i[((1-x+(x^2))/((-1+x) x y))]+(1/60) L6i[(((((-1+x))^2) (x^2))/((((1-x+(x^2)))^3) (((-1+y))^2) y))]-(1/9) L6i[-(((-1+x) x)/((((1-x+(x^2)))^2) (-1+y) y))]-(1/9) L6i[-(((((-1+x))^2) x)/((((1-x+(x^2)))^2) (-1+y) y))]-(1/9) L6i[(((-1+x) (x^2))/((((1-x+(x^2)))^2) (-1+y) y))]+(1/45) L6i[-(((-1+x) (1-x+(x^2)))/((x^4) (-1+y) y))]-(1/36) L6i[((1-x+(x^2))/((((-1+x))^2) (x^2) (-1+y) y))]-(1/36) L6i[(((((-1+x))^2) (1-x+(x^2)))/((x^2) (-1+y) y))]+(1/45) L6i[((x (1-x+(x^2)))/((((-1+x))^4) (-1+y) y))]+(1/45) L6i[(((-1+x) x (1-x+(x^2)))/((-1+y) y))]-(1/36) L6i[(((x^2) (1-x+(x^2)))/((((-1+x))^2) (-1+y) y))]-(1/3) L6i[(((-1+x) (-1+y))/((x^2) y))]+(1/3) L6i[-((-1+y)/((-1+x) x y))]+(1/3) L6i[-(((((-1+x))^2) (-1+y))/(x y))]-(1/3) L6i[-((x (-1+y))/((((-1+x))^2) y))]-(1/3) L6i[-(((-1+x) x (-1+y))/y)]+(1/3) L6i[(((x^2) (-1+y))/((-1+x) y))]+(1/2) L6i[((-1+y)/((1-x+(x^2)) y))]-L6i[-(((-1+x) (-1+y))/((1-x+(x^2)) y))]+(1/2) L6i[(((((-1+x))^2) (-1+y))/((1-x+(x^2)) y))]-L6i[((x (-1+y))/((1-x+(x^2)) y))]-L6i[(((-1+x) x (-1+y))/((1-x+(x^2)) y))]+(1/2) L6i[(((x^2) (-1+y))/((1-x+(x^2)) y))]-(1/2) L6i[(((1-x+(x^2)) (-1+y))/y)]-(1/2) L6i[(((1-x+(x^2)) (-1+y))/((((-1+x))^2) y))]+L6i[-(((1-x+(x^2)) (-1+y))/((-1+x) y))]-(1/2) L6i[(((1-x+(x^2)) (-1+y))/((x^2) y))]+L6i[(((1-x+(x^2)) (-1+y))/(x y))]+L6i[(((1-x+(x^2)) (-1+y))/((-1+x) x y))]-(1/9) L6i[-(((-1+x) x (((-1+y))^2))/((((1-x+(x^2)))^2) y))]-(1/9) L6i[-(((((-1+x))^2) x (((-1+y))^2))/((((1-x+(x^2)))^2) y))]-(1/9) L6i[(((-1+x) (x^2) (((-1+y))^2))/((((1-x+(x^2)))^2) y))]+(1/45) L6i[-(((-1+x) (1-x+(x^2)) (((-1+y))^2))/((x^4) y))]-(1/36) L6i[(((1-x+(x^2)) (((-1+y))^2))/((((-1+x))^2) (x^2) y))]-(1/36) L6i[(((((-1+x))^2) (1-x+(x^2)) (((-1+y))^2))/((x^2) y))]+(1/45) L6i[((x (1-x+(x^2)) (((-1+y))^2))/((((-1+x))^4) y))]+(1/45) L6i[(((-1+x) x (1-x+(x^2)) (((-1+y))^2))/y)]-(1/36) L6i[(((x^2) (1-x+(x^2)) (((-1+y))^2))/((((-1+x))^2) y))]+(1/60) L6i[(((((-1+x))^2) (x^2) (((-1+y))^3))/((((1-x+(x^2)))^3) y))];