## E3cPQ.txt
# Shift operators for the shifts e1\pm1, e3\pm2, e6\pm2 are given.
# Note that the equation is symmetric relative to exchange of e3 and e4.

P1p:=x^2*(x-1)^2*dx^2-(x-1)*(e1*x+e3*x+e4*x-e6*x-3*e1-e3-e4-2*x+1)*x*dx-x^2
*e1*e6-e3*e6*x^2-e4*e6*x^2+3*e1*e6*x+1/2*e3*e4*x+3/2*e3*e6*x+3/2*e4*e6*x+1/2*e6
^2*x+e6*x^2+2*e1^2+e1*e3+e1*e4-e6*x;

Q1p:=x^2*(x-1)^2*dx^2-(x-1)*(e1*x+e3*x+e4*x-e6*x-3*e1-e3-e4-3*x)*x*dx-x^2*
e1*e6-e3*e6*x^2-e4*e6*x^2+3*e1*e6*x-x^2*e1+1/2*e3*e4*x+3/2*e3*e6*x-e3*x^2+3/2*
e4*e6*x-e4*x^2+1/2*e6^2*x+e6*x^2+2*e1^2+e1*e3+e1*e4+2*x*e1+x*e3+x*e4+x^2+e1:


P1n:=(x-1)^2*dx^2-(x-1)*(3*e1*x+2*e3*x+2*e4*x+e6*x-e1-4*x+1)/x*dx+1/2*(4*e1
^2*x+6*e1*e3*x+6*e1*e4*x+2*e1*e6*x+2*e3^2*x+4*e3*e4*x+2*e3*e6*x+2*e4^2*x+2*e4*
e6*x+2*e1*e6-8*e1*x+e3*e4+e3*e6-6*e3*x+e4*e6-6*e4*x+e6^2-2*e6*x-2*e6+4*x)/x:

Q1n:=(x-1)^2*dx^2-(x-1)*(3*e1*x+2*e3*x+2*e4*x+e6*x-e1-5*x)/x*dx+1/2*(4*e1^2
*x^2+6*e1*e3*x^2+6*e1*e4*x^2+2*e1*e6*x^2+2*e3^2*x^2+4*e3*e4*x^2+2*e3*e6*x^2+2*
e4^2*x^2+2*e4*e6*x^2+2*e1*e6*x-10*e1*x^2+e3*e4*x+e3*e6*x-8*e3*x^2+e4*e6*x-8*e4*
x^2+e6^2*x-2*e6*x^2-4*e1*x-2*e3*x-2*e4*x-4*e6*x+6*x^2+2*e1+4*x)/x^2:

P3pp:=x^2*(x-1)^2*dx^2-2*(x-1)*(2*e1^2*x+4*e1*e3*x+3*e1*e4*x+e1*e6*x+2*e3^2
*x+3*e3*e4*x+e4^2*x-2*e1^2-4*e1*e3-3*e1*e4-e1*e6-e1*x-e3^2-2*e3*e4-2*e3*x-e4^2-
e4*x-2*e6*x-e1+e3+e6-2*x+1)*x/(2*e1+3*e3+2*e4+e6+2)*dx-(4*e1^2*e6*x^2+8*e1*e3*
e6*x^2+6*e1*e4*e6*x^2+4*e1*e6^2*x^2+4*e3^2*e6*x^2+6*e3*e4*e6*x^2+3*e3*e6^2*x^2+
2*e4^2*e6*x^2+2*e4*e6^2*x^2+e6^3*x^2-4*e1^2*e6*x-2*e1*e3*e4*x-10*e1*e3*e6*x-8*
e1*e4*e6*x-4*e1*e6^2*x-2*e3^2*e4*x-4*e3^2*e6*x-e3*e4^2*x-8*e3*e4*e6*x-3*e3*e6^2
*x-e3*e6*x^2-3*e4^2*e6*x-2*e4*e6^2*x-e6^3*x-e6^2*x^2+2*e1*e3^2+2*e1*e3*e4+2*e1*
e3*e6+2*e1*e4*e6-2*e1*e6*x+e3^3+2*e3^2*e4+e3^2*e6+e3*e4^2+2*e3*e4*e6-e3*e4*x+e3
*e6*x+e4^2*e6-e4*e6*x+e6^2*x-2*e6*x^2+2*e1*e3+2*e1*e6+e3^2+e3*e4+e3*e6+e4*e6+2*
e6*x)/(2*e1+3*e3+2*e4+e6+2):

Q3pp:=x^2*(x-1)^2*dx^2-2*(x-1)*(2*e1^2*x+4*e1*e3*x+3*e1*e4*x+e1*e6*x+2*e3^2
*x+3*e3*e4*x+e4^2*x-2*e1^2-4*e1*e3-3*e1*e4-e1*e6-e1*x-e3^2-2*e3*e4-2*e3*x-e4^2-
e4*x-2*e6*x-e1+e3+e6-2*x+1)*x/(2*e1+3*e3+2*e4+e6+2)*dx-(4*e1^2*e6*x^2+8*e1*e3*
e6*x^2+6*e1*e4*e6*x^2+4*e1*e6^2*x^2+4*e3^2*e6*x^2+6*e3*e4*e6*x^2+3*e3*e6^2*x^2+
2*e4^2*e6*x^2+2*e4*e6^2*x^2+e6^3*x^2-4*e1^2*e6*x+4*e1^2*x^2-2*e1*e3*e4*x-10*e1*
e3*e6*x+8*e1*e3*x^2-8*e1*e4*e6*x+6*e1*e4*x^2-4*e1*e6^2*x+6*e1*e6*x^2-2*e3^2*e4*
x-4*e3^2*e6*x+4*e3^2*x^2-e3*e4^2*x-8*e3*e4*e6*x+6*e3*e4*x^2-3*e3*e6^2*x+5*e3*e6
*x^2-3*e4^2*e6*x+2*e4^2*x^2-2*e4*e6^2*x+4*e4*e6*x^2-e6^3*x+e6^2*x^2-8*e1^2*x+2*
e1*e3^2+2*e1*e3*e4+2*e1*e3*e6-12*e1*e3*x+2*e1*e4*e6-12*e1*e4*x-10*e1*e6*x+2*e1*
x^2+e3^3+2*e3^2*e4+e3^2*e6-4*e3^2*x+e3*e4^2+2*e3*e4*e6-11*e3*e4*x-5*e3*e6*x+2*
e3*x^2+e4^2*e6-4*e4^2*x-7*e4*e6*x+2*e4*x^2-e6^2*x+4*e1^2+10*e1*e3+6*e1*e4+4*e1*
e6-4*e1*x+5*e3^2+7*e3*e4+3*e3*e6-2*e3*x+2*e4^2+3*e4*e6-4*e4*x+6*e1+6*e3+4*e4+2*
e6+2)/(2*e1+3*e3+2*e4+e6+2):

P3nn:=(e1*e3*x^2-e1*e6*x^2+e3^2*x^2+e3*e4*x^2-e4*e6*x^2-e6^2*x^2-e3^2*x-2*
e3*x^2+e6^2*x+2*e6*x^2+e1*e3+e1*e6+e3^2+e3*e4+e3*e6+2*e3*x+e4*e6-2*e6*x-2*e1-3*
e3-2*e4-e6+2)/(e1+e3+e4+e6-2)/(e3-e6)*dx^2-1/2*(6*e1^2*e3*x^3-6*e1^2*e6*x^3+10*
e1*e3^2*x^3+10*e1*e3*e4*x^3-2*e1*e3*e6*x^3-10*e1*e4*e6*x^3-8*e1*e6^2*x^3+4*e3^3
*x^3+8*e3^2*e4*x^3+2*e3^2*e6*x^3+4*e3*e4^2*x^3-2*e3*e4*e6*x^3-4*e3*e6^2*x^3-4*
e4^2*e6*x^3-6*e4*e6^2*x^3-2*e6^3*x^3-6*e1^2*e3*x^2+6*e1^2*e6*x^2-14*e1*e3^2*x^2
-8*e1*e3*e4*x^2+2*e1*e3*e6*x^2-20*e1*e3*x^3+8*e1*e4*e6*x^2+12*e1*e6^2*x^2+20*e1
*e6*x^3-6*e3^3*x^2-9*e3^2*e4*x^2-3*e3^2*e6*x^2-16*e3^2*x^3-2*e3*e4^2*x^2+2*e3*
e4*e6*x^2-16*e3*e4*x^3+6*e3*e6^2*x^2+4*e3*e6*x^3+2*e4^2*e6*x^2+7*e4*e6^2*x^2+16
*e4*e6*x^3+3*e6^3*x^2+12*e6^2*x^3+2*e1^2*e3*x+2*e1^2*e6*x+6*e1*e3^2*x+4*e1*e3*
e4*x+2*e1*e3*e6*x+26*e1*e3*x^2+4*e1*e4*e6*x-4*e1*e6^2*x-26*e1*e6*x^2+2*e3^3*x+3
*e3^2*e4*x+e3^2*e6*x+24*e3^2*x^2+2*e3*e4^2*x+2*e3*e4*e6*x+16*e3*e4*x^2-2*e3*e6^
2*x-6*e3*e6*x^2+16*e3*x^3+2*e4^2*e6*x-e4*e6^2*x-16*e4*e6*x^2-e6^3*x-18*e6^2*x^2
-16*e6*x^3-2*e1^2*e3-2*e1^2*e6-4*e1^2*x-2*e1*e3^2-2*e1*e3*e4-2*e1*e3*e6-18*e1*
e3*x-2*e1*e4*e6-8*e1*e4*x+2*e1*e6*x-12*e3^2*x-12*e3*e4*x-2*e3*e6*x-24*e3*x^2-4*
e4^2*x-4*e4*e6*x+6*e6^2*x+24*e6*x^2+4*e1^2+8*e1*e3+4*e1*e4+4*e1*e6+12*e1*x+2*e3
^2+2*e3*e4+2*e3*e6+20*e3*x+2*e4*e6+12*e4*x-4*e6*x-8*e1-6*e3-4*e4-2*e6-8*x+4)/(
e1+e3+e4+e6-2)/(e3-e6)/x/(x-1)*dx+1/2*(4*e1^3*e3*x^2-4*e1^3*e6*x^2+10*e1^2*e3^2
*x^2+10*e1^2*e3*e4*x^2-4*e1^2*e3*e6*x^2-10*e1^2*e4*e6*x^2-6*e1^2*e6^2*x^2+8*e1*
e3^3*x^2+16*e1*e3^2*e4*x^2+2*e1*e3^2*e6*x^2+8*e1*e3*e4^2*x^2-6*e1*e3*e4*e6*x^2-\
8*e1*e3*e6^2*x^2-8*e1*e4^2*e6*x^2-10*e1*e4*e6^2*x^2-2*e1*e6^3*x^2+2*e3^4*x^2+6*
e3^3*e4*x^2+2*e3^3*e6*x^2+6*e3^2*e4^2*x^2+2*e3^2*e4*e6*x^2-2*e3^2*e6^2*x^2+2*e3
*e4^3*x^2-2*e3*e4^2*e6*x^2-6*e3*e4*e6^2*x^2-2*e3*e6^3*x^2-2*e4^3*e6*x^2-4*e4^2*
e6^2*x^2-2*e4*e6^3*x^2-4*e1^3*e3*x+4*e1^3*e6*x-10*e1^2*e3^2*x-6*e1^2*e3*e4*x+2*
e1^2*e3*e6*x-16*e1^2*e3*x^2+6*e1^2*e4*e6*x+8*e1^2*e6^2*x+16*e1^2*e6*x^2-8*e1*e3
^3*x-11*e1*e3^2*e4*x-3*e1*e3^2*e6*x-26*e1*e3^2*x^2-2*e1*e3*e4^2*x+2*e1*e3*e4*e6
*x-26*e1*e3*e4*x^2+8*e1*e3*e6^2*x+12*e1*e3*e6*x^2+2*e1*e4^2*e6*x+9*e1*e4*e6^2*x
+26*e1*e4*e6*x^2+3*e1*e6^3*x+14*e1*e6^2*x^2-2*e3^4*x-4*e3^3*e4*x-2*e3^3*e6*x-10
*e3^3*x^2-2*e3^2*e4^2*x-2*e3^2*e4*e6*x-20*e3^2*e4*x^2+2*e3^2*e6^2*x-2*e3^2*e6*x
^2-10*e3*e4^2*x^2+4*e3*e4*e6^2*x+8*e3*e4*e6*x^2+2*e3*e6^3*x+10*e3*e6^2*x^2+2*e4
^2*e6^2*x+10*e4^2*e6*x^2+2*e4*e6^3*x+12*e4*e6^2*x^2+2*e6^3*x^2-2*e1^2*e3*e6+16*
e1^2*e3*x-2*e1^2*e6^2-16*e1^2*e6*x-e1*e3^2*e4-3*e1*e3^2*e6+26*e1*e3^2*x-4*e1*e3
*e4*e6+18*e1*e3*e4*x-4*e1*e3*e6^2-10*e1*e3*e6*x+20*e1*e3*x^2-3*e1*e4*e6^2-18*e1
*e4*e6*x-e1*e6^3-16*e1*e6^2*x-20*e1*e6*x^2-e3^3*e4-e3^3*e6+10*e3^3*x-e3^2*e4^2-\
3*e3^2*e4*e6+14*e3^2*e4*x-2*e3^2*e6^2+2*e3^2*e6*x+16*e3^2*x^2-2*e3*e4^2*e6+4*e3
*e4^2*x-3*e3*e4*e6^2-4*e3*e4*e6*x+16*e3*e4*x^2-e3*e6^3-10*e3*e6^2*x-8*e3*e6*x^2
-e4^2*e6^2-4*e4^2*e6*x-e4*e6^3-10*e4*e6^2*x-16*e4*e6*x^2-2*e6^3*x-8*e6^2*x^2+4*
e1^2*e6+2*e1*e3*e4+10*e1*e3*e6-20*e1*e3*x+6*e1*e4*e6+6*e1*e6^2+20*e1*e6*x+3*e3^
2*e4+5*e3^2*e6-16*e3^2*x+2*e3*e4^2+8*e3*e4*e6-12*e3*e4*x+6*e3*e6^2+8*e3*e6*x-8*
e3*x^2+2*e4^2*e6+5*e4*e6^2+12*e4*e6*x+e6^3+8*e6^2*x+8*e6*x^2-8*e1*e6-2*e3*e4-8*
e3*e6+8*e3*x-6*e4*e6-4*e6^2-8*e6*x+4*e6)/(e1+e3+e4+e6-2)/(e3-e6)/x/(x-1):

Q3nn:=(e1*e3*x^2-e1*e6*x^2+e3^2*x^2+e3*e4*x^2-e4*e6*x^2-e6^2*x^2-e3^2*x-2*
e3*x^2+e6^2*x+2*e6*x^2+e1*e3+e1*e6+e3^2+e3*e4+e3*e6+2*e3*x+e4*e6-2*e6*x-2*e1-3*
e3-2*e4-e6+2)/(e1+e3+e4+e6-2)/(e3-e6)*dx^2-1/2*(6*e1^2*e3*x^3-6*e1^2*e6*x^3+10*
e1*e3^2*x^3+10*e1*e3*e4*x^3-2*e1*e3*e6*x^3-10*e1*e4*e6*x^3-8*e1*e6^2*x^3+4*e3^3
*x^3+8*e3^2*e4*x^3+2*e3^2*e6*x^3+4*e3*e4^2*x^3-2*e3*e4*e6*x^3-4*e3*e6^2*x^3-4*
e4^2*e6*x^3-6*e4*e6^2*x^3-2*e6^3*x^3-6*e1^2*e3*x^2+6*e1^2*e6*x^2-14*e1*e3^2*x^2
-8*e1*e3*e4*x^2+2*e1*e3*e6*x^2-24*e1*e3*x^3+8*e1*e4*e6*x^2+12*e1*e6^2*x^2+24*e1
*e6*x^3-6*e3^3*x^2-9*e3^2*e4*x^2-3*e3^2*e6*x^2-20*e3^2*x^3-2*e3*e4^2*x^2+2*e3*
e4*e6*x^2-20*e3*e4*x^3+6*e3*e6^2*x^2+4*e3*e6*x^3+2*e4^2*e6*x^2+7*e4*e6^2*x^2+20
*e4*e6*x^3+3*e6^3*x^2+16*e6^2*x^3+2*e1^2*e3*x+2*e1^2*e6*x+6*e1*e3^2*x+4*e1*e3*
e4*x+2*e1*e3*e6*x+34*e1*e3*x^2+4*e1*e4*e6*x-4*e1*e6^2*x-34*e1*e6*x^2+2*e3^3*x+3
*e3^2*e4*x+e3^2*e6*x+30*e3^2*x^2+2*e3*e4^2*x+2*e3*e4*e6*x+24*e3*e4*x^2-2*e3*e6^
2*x-6*e3*e6*x^2+24*e3*x^3+2*e4^2*e6*x-e4*e6^2*x-24*e4*e6*x^2-e6^3*x-24*e6^2*x^2
-24*e6*x^3-2*e1^2*e3-2*e1^2*e6-4*e1^2*x-2*e1*e3^2-2*e1*e3*e4-2*e1*e3*e6-10*e1*
e3*x-2*e1*e4*e6-8*e1*e4*x+10*e1*e6*x-6*e3^2*x-4*e3*e4*x+6*e3*e6*x-36*e3*x^2-4*
e4^2*x+4*e4*e6*x+8*e6^2*x+36*e6*x^2+4*e1^2+4*e1*e3+4*e1*e4-4*e1*x-2*e3^2-2*e3*
e4-2*e3*e6-2*e4*e6-4*e4*x-16*e6*x+6*e3+4*e4+2*e6+8*x-4)/x/(x-1)/(e1+e3+e4+e6-2)
/(e3-e6)*dx+1/2*(4*e1^3*e3*x^4-4*e1^3*e6*x^4+10*e1^2*e3^2*x^4+10*e1^2*e3*e4*x^4
-4*e1^2*e3*e6*x^4-10*e1^2*e4*e6*x^4-6*e1^2*e6^2*x^4+8*e1*e3^3*x^4+16*e1*e3^2*e4
*x^4+2*e1*e3^2*e6*x^4+8*e1*e3*e4^2*x^4-6*e1*e3*e4*e6*x^4-8*e1*e3*e6^2*x^4-8*e1*
e4^2*e6*x^4-10*e1*e4*e6^2*x^4-2*e1*e6^3*x^4+2*e3^4*x^4+6*e3^3*e4*x^4+2*e3^3*e6*
x^4+6*e3^2*e4^2*x^4+2*e3^2*e4*e6*x^4-2*e3^2*e6^2*x^4+2*e3*e4^3*x^4-2*e3*e4^2*e6
*x^4-6*e3*e4*e6^2*x^4-2*e3*e6^3*x^4-2*e4^3*e6*x^4-4*e4^2*e6^2*x^4-2*e4*e6^3*x^4
-8*e1^3*e3*x^3+8*e1^3*e6*x^3-20*e1^2*e3^2*x^3-16*e1^2*e3*e4*x^3+6*e1^2*e3*e6*x^
3-22*e1^2*e3*x^4+16*e1^2*e4*e6*x^3+14*e1^2*e6^2*x^3+22*e1^2*e6*x^4-16*e1*e3^3*x
^3-27*e1*e3^2*e4*x^3-5*e1*e3^2*e6*x^3-36*e1*e3^2*x^4-10*e1*e3*e4^2*x^3+8*e1*e3*
e4*e6*x^3-36*e1*e3*e4*x^4+16*e1*e3*e6^2*x^3+14*e1*e3*e6*x^4+10*e1*e4^2*e6*x^3+
19*e1*e4*e6^2*x^3+36*e1*e4*e6*x^4+5*e1*e6^3*x^3+22*e1*e6^2*x^4-4*e3^4*x^3-10*e3
^3*e4*x^3-4*e3^3*e6*x^3-14*e3^3*x^4-8*e3^2*e4^2*x^3-4*e3^2*e4*e6*x^3-28*e3^2*e4
*x^4+4*e3^2*e6^2*x^3-4*e3^2*e6*x^4-2*e3*e4^3*x^3+2*e3*e4^2*e6*x^3-14*e3*e4^2*x^
4+10*e3*e4*e6^2*x^3+10*e3*e4*e6*x^4+4*e3*e6^3*x^3+14*e3*e6^2*x^4+2*e4^3*e6*x^3+
6*e4^2*e6^2*x^3+14*e4^2*e6*x^4+4*e4*e6^3*x^3+18*e4*e6^2*x^4+4*e6^3*x^4+4*e1^3*
e3*x^2-4*e1^3*e6*x^2+10*e1^2*e3^2*x^2+6*e1^2*e3*e4*x^2-4*e1^2*e3*e6*x^2+48*e1^2
*e3*x^3-6*e1^2*e4*e6*x^2-10*e1^2*e6^2*x^2-48*e1^2*e6*x^3+8*e1*e3^3*x^2+10*e1*e3
^2*e4*x^2+74*e1*e3^2*x^3+2*e1*e3*e4^2*x^2-6*e1*e3*e4*e6*x^2+68*e1*e3*e4*x^3-12*
e1*e3*e6^2*x^2-26*e1*e3*e6*x^3+40*e1*e3*x^4-2*e1*e4^2*e6*x^2-12*e1*e4*e6^2*x^2-\
68*e1*e4*e6*x^3-4*e1*e6^3*x^2-48*e1*e6^2*x^3-40*e1*e6*x^4+2*e3^4*x^2+3*e3^3*e4*
x^2+e3^3*e6*x^2+28*e3^3*x^3+e3^2*e4^2*x^2-e3^2*e4*e6*x^2+50*e3^2*e4*x^3-4*e3^2*
e6^2*x^2+8*e3^2*e6*x^3+32*e3^2*x^4-2*e3*e4^2*e6*x^2+22*e3*e4^2*x^3-7*e3*e4*e6^2
*x^2-16*e3*e4*e6*x^3+32*e3*e4*x^4-3*e3*e6^3*x^2-28*e3*e6^2*x^3-12*e3*e6*x^4-3*
e4^2*e6^2*x^2-22*e4^2*e6*x^3-3*e4*e6^3*x^2-34*e4*e6^2*x^3-32*e4*e6*x^4-8*e6^3*x
^3-20*e6^2*x^4+2*e1^2*e3*e6*x-20*e1^2*e3*x^2+2*e1^2*e6^2*x+36*e1^2*e6*x^2+e1*e3
^2*e4*x+3*e1*e3^2*e6*x-30*e1*e3^2*x^2+4*e1*e3*e4*e6*x-16*e1*e3*e4*x^2+4*e1*e3*
e6^2*x+32*e1*e3*e6*x^2-84*e1*e3*x^3+3*e1*e4*e6^2*x+48*e1*e4*e6*x^2+e1*e6^3*x+34
*e1*e6^2*x^2+84*e1*e6*x^3+e3^3*e4*x+e3^3*e6*x-12*e3^3*x^2+e3^2*e4^2*x+3*e3^2*e4
*e6*x-11*e3^2*e4*x^2+2*e3^2*e6^2*x+5*e3^2*e6*x^2-64*e3^2*x^3+2*e3*e4^2*e6*x+2*
e3*e4^2*x^2+3*e3*e4*e6^2*x+24*e3*e4*e6*x^2-60*e3*e4*x^3+e3*e6^3*x+22*e3*e6^2*x^
2+24*e3*e6*x^3-24*e3*x^4+e4^2*e6^2*x+14*e4^2*e6*x^2+e4*e6^3*x+23*e4*e6^2*x^2+60
*e4*e6*x^3+5*e6^3*x^2+40*e6^2*x^3+24*e6*x^4-8*e1^2*e3*x-12*e1^2*e6*x-12*e1^2*x^
2-10*e1*e3^2*x-14*e1*e3*e4*x-22*e1*e3*e6*x+24*e1*e3*x^2-18*e1*e4*e6*x-24*e1*e4*
x^2-8*e1*e6^2*x-64*e1*e6*x^2-2*e3^3*x-9*e3^2*e4*x-9*e3^2*e6*x+26*e3^2*x^2-6*e3*
e4^2*x-16*e3*e4*e6*x+6*e3*e4*x^2-8*e3*e6^2*x-28*e3*e6*x^2+48*e3*x^3-6*e4^2*e6*x
-12*e4^2*x^2-7*e4*e6^2*x-46*e4*e6*x^2-e6^3*x-26*e6^2*x^2-48*e6*x^3+2*e1^2*e3+2*
e1^2*e6+16*e1^2*x+2*e1*e3^2+2*e1*e3*e4+2*e1*e3*e6+28*e1*e3*x+2*e1*e4*e6+24*e1*
e4*x+20*e1*e6*x+12*e1*x^2+6*e3^2*x+18*e3*e4*x+16*e3*e6*x-20*e3*x^2+8*e4^2*x+14*
e4*e6*x+12*e4*x^2+6*e6^2*x+32*e6*x^2-4*e1^2-4*e1*e3-4*e1*e4-16*e1*x+2*e3^2+2*e3
*e4+2*e3*e6-4*e3*x+2*e4*e6-8*e4*x-8*e6*x-6*e3-4*e4-2*e6+4)/(e1+e3+e4+e6-2)/(e3-
e6)/x^2/(x-1)^2:

P6pp:=x^2*(x-1)^2*dx^2-1/2*(x-1)*(2*e1^2*x+2*e1*e3*x+2*e1*e4*x+2*e3*e6*x+2*
e4*e6*x-2*e6^2*x-2*e1^2-2*e1*e6-4*e1*x+e3*e4-e3*e6-e4*e6+e6^2-4*e6*x+2*e1+2*e6)
*x/(e1+e6)*dx-1/4*(8*e1^3*e6*x^2+12*e1^2*e3*e6*x^2+12*e1^2*e4*e6*x^2+16*e1^2*e6
^2*x^2+4*e1*e3^2*e6*x^2+8*e1*e3*e4*e6*x^2+20*e1*e3*e6^2*x^2+4*e1*e4^2*e6*x^2+20
*e1*e4*e6^2*x^2+8*e1*e6^3*x^2+4*e3^2*e6^2*x^2+8*e3*e4*e6^2*x^2+8*e3*e6^3*x^2+4*
e4^2*e6^2*x^2+8*e4*e6^3*x^2-8*e1^3*e6*x-4*e1^2*e3*e4*x-8*e1^2*e3*e6*x-8*e1^2*e4
*e6*x-20*e1^2*e6^2*x-8*e1^2*e6*x^2-2*e1*e3^2*e4*x-2*e1*e3^2*e6*x-2*e1*e3*e4^2*x
-8*e1*e3*e4*e6*x-18*e1*e3*e6^2*x-4*e1*e3*e6*x^2-2*e1*e4^2*e6*x-18*e1*e4*e6^2*x-\
4*e1*e4*e6*x^2-12*e1*e6^3*x-16*e1*e6^2*x^2-4*e3^2*e6^2*x-8*e3*e4*e6^2*x-8*e3*e6
^3*x-4*e3*e6^2*x^2-4*e4^2*e6^2*x-8*e4*e6^3*x-4*e4*e6^2*x^2-8*e6^3*x^2+8*e1^2*e6
*x+4*e1*e3*e6*x+4*e1*e4*e6*x+16*e1*e6^2*x-e3^2*e4^2+e3^2*e6^2+4*e3*e6^2*x+e4^2*
e6^2+4*e4*e6^2*x-e6^4+8*e6^3*x)/(e1+e6)/(2*e1+e3+e4+2*e6):

Q6pp:=x^2*(x-1)^2*dx^2-1/2*(x-1)*(2*e1^2*x+2*e1*e3*x+2*e1*e4*x+2*e3*e6*x+2*
e4*e6*x-2*e6^2*x-2*e1^2-2*e1*e6-12*e1*x+e3*e4-e3*e6-e4*e6+e6^2-12*e6*x+6*e1+6*
e6)*x/(e1+e6)*dx-1/4*(8*e1^3*e6*x^2+12*e1^2*e3*e6*x^2+12*e1^2*e4*e6*x^2+16*e1^2
*e6^2*x^2+4*e1*e3^2*e6*x^2+8*e1*e3*e4*e6*x^2+20*e1*e3*e6^2*x^2+4*e1*e4^2*e6*x^2
+20*e1*e4*e6^2*x^2+8*e1*e6^3*x^2+4*e3^2*e6^2*x^2+8*e3*e4*e6^2*x^2+8*e3*e6^3*x^2
+4*e4^2*e6^2*x^2+8*e4*e6^3*x^2-8*e1^3*e6*x+24*e1^3*x^2-4*e1^2*e3*e4*x-8*e1^2*e3
*e6*x+36*e1^2*e3*x^2-8*e1^2*e4*e6*x+36*e1^2*e4*x^2-20*e1^2*e6^2*x+32*e1^2*e6*x^
2-2*e1*e3^2*e4*x-2*e1*e3^2*e6*x+12*e1*e3^2*x^2-2*e1*e3*e4^2*x-8*e1*e3*e4*e6*x+
24*e1*e3*e4*x^2-18*e1*e3*e6^2*x+52*e1*e3*e6*x^2-2*e1*e4^2*e6*x+12*e1*e4^2*x^2-\
18*e1*e4*e6^2*x+52*e1*e4*e6*x^2-12*e1*e6^3*x-8*e1*e6^2*x^2-4*e3^2*e6^2*x+12*e3^
2*e6*x^2-8*e3*e4*e6^2*x+24*e3*e4*e6*x^2-8*e3*e6^3*x+16*e3*e6^2*x^2-4*e4^2*e6^2*
x+12*e4^2*e6*x^2-8*e4*e6^3*x+16*e4*e6^2*x^2-16*e6^3*x^2-32*e1^3*x-32*e1^2*e3*x-\
32*e1^2*e4*x-56*e1^2*e6*x-48*e1^2*x^2-8*e1*e3^2*x-8*e1*e3*e4*x-52*e1*e3*e6*x-24
*e1*e3*x^2-8*e1*e4^2*x-52*e1*e4*e6*x-24*e1*e4*x^2-8*e1*e6^2*x-96*e1*e6*x^2-e3^2
*e4^2+4*e3^2*e4*x+e3^2*e6^2-12*e3^2*e6*x+4*e3*e4^2*x-16*e3*e4*e6*x-16*e3*e6^2*x
-24*e3*e6*x^2+e4^2*e6^2-12*e4^2*e6*x-16*e4*e6^2*x-24*e4*e6*x^2-e6^4+16*e6^3*x-\
48*e6^2*x^2+8*e1^3+4*e1^2*e3+4*e1^2*e4+16*e1^2*e6+48*e1^2*x-4*e1*e3*e4+8*e1*e3*
e6+24*e1*e3*x+8*e1*e4*e6+24*e1*e4*x+4*e1*e6^2+96*e1*e6*x-2*e3^2*e4+2*e3^2*e6-2*
e3*e4^2+2*e3*e6^2+24*e3*e6*x+2*e4^2*e6+2*e4*e6^2+24*e4*e6*x-4*e6^3+48*e6^2*x-8*
e1^2-4*e1*e3-4*e1*e4-16*e1*e6-4*e3*e6-4*e4*e6-8*e6^2)/(e1+e6)/(2*e1+e3+e4+2*e6):

P6nn:=x^2*(x-1)^2*dx^2-1/2*(x-1)*(6*e1^2*x+10*e1*e3*x+10*e1*e4*x+8*e1*e6*x+
4*e3^2*x+8*e3*e4*x+6*e3*e6*x+4*e4^2*x+6*e4*e6*x+2*e6^2*x-6*e1^2-8*e1*e3-8*e1*e4
-6*e1*e6-20*e1*x-2*e3^2-5*e3*e4-3*e3*e6-16*e3*x-2*e4^2-3*e4*e6-16*e4*x-e6^2-12*
e6*x+14*e1+8*e3+8*e4+6*e6+16*x-8)*x/(e1+e3+e4+e6-2)*dx+1/4*(16*e1^4*x^2+48*e1^3
*e3*x^2+48*e1^3*e4*x^2+40*e1^3*e6*x^2+52*e1^2*e3^2*x^2+104*e1^2*e3*e4*x^2+92*e1
^2*e3*e6*x^2+52*e1^2*e4^2*x^2+92*e1^2*e4*e6*x^2+32*e1^2*e6^2*x^2+24*e1*e3^3*x^2
+72*e1*e3^2*e4*x^2+68*e1*e3^2*e6*x^2+72*e1*e3*e4^2*x^2+136*e1*e3*e4*e6*x^2+52*
e1*e3*e6^2*x^2+24*e1*e4^3*x^2+68*e1*e4^2*e6*x^2+52*e1*e4*e6^2*x^2+8*e1*e6^3*x^2
+4*e3^4*x^2+16*e3^3*e4*x^2+16*e3^3*e6*x^2+24*e3^2*e4^2*x^2+48*e3^2*e4*e6*x^2+20
*e3^2*e6^2*x^2+16*e3*e4^3*x^2+48*e3*e4^2*e6*x^2+40*e3*e4*e6^2*x^2+8*e3*e6^3*x^2
+4*e4^4*x^2+16*e4^3*e6*x^2+20*e4^2*e6^2*x^2+8*e4*e6^3*x^2-32*e1^4*x-80*e1^3*e3*
x-80*e1^3*e4*x-72*e1^3*e6*x-96*e1^3*x^2-72*e1^2*e3^2*x-148*e1^2*e3*e4*x-136*e1^
2*e3*e6*x-216*e1^2*e3*x^2-72*e1^2*e4^2*x-136*e1^2*e4*e6*x-216*e1^2*e4*x^2-52*e1
^2*e6^2*x-168*e1^2*e6*x^2-28*e1*e3^3*x-86*e1*e3^2*e4*x-82*e1*e3^2*e6*x-156*e1*
e3^2*x^2-86*e1*e3*e4^2*x-168*e1*e3*e4*e6*x-312*e1*e3*e4*x^2-66*e1*e3*e6^2*x-260
*e1*e3*e6*x^2-28*e1*e4^3*x-82*e1*e4^2*e6*x-156*e1*e4^2*x^2-66*e1*e4*e6^2*x-260*
e1*e4*e6*x^2-12*e1*e6^3*x-80*e1*e6^2*x^2-4*e3^4*x-16*e3^3*e4*x-16*e3^3*e6*x-36*
e3^3*x^2-24*e3^2*e4^2*x-48*e3^2*e4*e6*x-108*e3^2*e4*x^2-20*e3^2*e6^2*x-96*e3^2*
e6*x^2-16*e3*e4^3*x-48*e3*e4^2*e6*x-108*e3*e4^2*x^2-40*e3*e4*e6^2*x-192*e3*e4*
e6*x^2-8*e3*e6^3*x-68*e3*e6^2*x^2-4*e4^4*x-16*e4^3*e6*x-36*e4^3*x^2-20*e4^2*e6^
2*x-96*e4^2*e6*x^2-8*e4*e6^3*x-68*e4*e6^2*x^2-8*e6^3*x^2+16*e1^4+32*e1^3*e3+32*
e1^3*e4+32*e1^3*e6+160*e1^3*x+20*e1^2*e3^2+48*e1^2*e3*e4+48*e1^2*e3*e6+304*e1^2
*e3*x+20*e1^2*e4^2+48*e1^2*e4*e6+304*e1^2*e4*x+24*e1^2*e6^2+248*e1^2*e6*x+208*
e1^2*x^2+4*e1*e3^3+20*e1*e3^2*e4+20*e1*e3^2*e6+184*e1*e3^2*x+20*e1*e3*e4^2+48*
e1*e3*e4*e6+376*e1*e3*e4*x+24*e1*e3*e6^2+316*e1*e3*e6*x+312*e1*e3*x^2+4*e1*e4^3
+20*e1*e4^2*e6+184*e1*e4^2*x+24*e1*e4*e6^2+316*e1*e4*e6*x+312*e1*e4*x^2+8*e1*e6
^3+104*e1*e6^2*x+224*e1*e6*x^2+2*e3^3*e4+2*e3^3*e6+36*e3^3*x+5*e3^2*e4^2+10*e3^
2*e4*e6+108*e3^2*e4*x+5*e3^2*e6^2+96*e3^2*e6*x+112*e3^2*x^2+2*e3*e4^3+10*e3*e4^
2*e6+108*e3*e4^2*x+12*e3*e4*e6^2+192*e3*e4*e6*x+224*e3*e4*x^2+4*e3*e6^3+68*e3*
e6^2*x+176*e3*e6*x^2+2*e4^3*e6+36*e4^3*x+5*e4^2*e6^2+96*e4^2*e6*x+112*e4^2*x^2+
4*e4*e6^3+68*e4*e6^2*x+176*e4*e6*x^2+e6^4+8*e6^3*x+48*e6^2*x^2-64*e1^3-96*e1^2*
e3-96*e1^2*e4-96*e1^2*e6-288*e1^2*x-40*e1*e3^2-96*e1*e3*e4-96*e1*e3*e6-368*e1*
e3*x-40*e1*e4^2-96*e1*e4*e6-368*e1*e4*x-48*e1*e6^2-272*e1*e6*x-192*e1*x^2-4*e3^
3-20*e3^2*e4-20*e3^2*e6-112*e3^2*x-20*e3*e4^2-48*e3*e4*e6-224*e3*e4*x-24*e3*e6^
2-176*e3*e6*x-144*e3*x^2-4*e4^3-20*e4^2*e6-112*e4^2*x-24*e4*e6^2-176*e4*e6*x-\
144*e4*x^2-8*e6^3-48*e6^2*x-96*e6*x^2+96*e1^2+96*e1*e3+96*e1*e4+96*e1*e6+224*e1
*x+20*e3^2+48*e3*e4+48*e3*e6+144*e3*x+20*e4^2+48*e4*e6+144*e4*x+24*e6^2+96*e6*x
+64*x^2-64*e1-32*e3-32*e4-32*e6-64*x+16)/(e1+e3+e4+e6-2)/(2*e1+e3+e4+2*e6-4):

Q6nn:=x^2*(x-1)^2*dx^2-1/2*(x-1)*(6*e1^2*x+10*e1*e3*x+10*e1*e4*x+8*e1*e6*x+
4*e3^2*x+8*e3*e4*x+6*e3*e6*x+4*e4^2*x+6*e4*e6*x+2*e6^2*x-6*e1^2-8*e1*e3-8*e1*e4
-6*e1*e6-28*e1*x-2*e3^2-5*e3*e4-3*e3*e6-24*e3*x-2*e4^2-3*e4*e6-24*e4*x-e6^2-20*
e6*x+18*e1+12*e3+12*e4+10*e6+32*x-16)*x/(e1+e3+e4+e6-2)*dx+1/4*(16*e1^4*x^2+48*
e1^3*e3*x^2+48*e1^3*e4*x^2+40*e1^3*e6*x^2+52*e1^2*e3^2*x^2+104*e1^2*e3*e4*x^2+
92*e1^2*e3*e6*x^2+52*e1^2*e4^2*x^2+92*e1^2*e4*e6*x^2+32*e1^2*e6^2*x^2+24*e1*e3^
3*x^2+72*e1*e3^2*e4*x^2+68*e1*e3^2*e6*x^2+72*e1*e3*e4^2*x^2+136*e1*e3*e4*e6*x^2
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224*e1*e3^2*x^2-86*e1*e3*e4^2*x-168*e1*e3*e4*e6*x-448*e1*e3*e4*x^2-66*e1*e3*e6^
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148*e3^2*e6*x^2-16*e3*e4^3*x-48*e3*e4^2*e6*x-156*e3*e4^2*x^2-40*e3*e4*e6^2*x-\
296*e3*e4*e6*x^2-8*e3*e6^3*x-112*e3*e6^2*x^2-4*e4^4*x-16*e4^3*e6*x-52*e4^3*x^2-\
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116*e4*e6+464*e4*x+56*e6^2+384*e6*x+320*x^2-208*e1-112*e3-112*e4-112*e6-320*x+
80)/(e1+e3+e4+e6-2)/(2*e1+e3+e4+2*e6-4):