## SE4PQ.txt 

# Svalues  order of composition:Pun*Pup, Pan*Pap, Pcn*Pcp, Pgn*Pgp
Svu:=(u+1)*(1+a+2*c+g+b-u)*(2*c-u)*(2+2*b+2*a+g+2*c-u):

Sva:=(a+1)*(2*a+g+2)*(2*a+2*c+g+3)*(a+b+c+g+2)*(-u+3+g+2*c+2*b+2*a)*(a+b+2*
c+g-u+2)*(4+2*b+2*a+g+2*c-u):

Svc:=(2*c+2-u)*(2*c-u+1)*(2*c+g+2)*(2*b+2*c+g+3)*(2*a+2*c+g+3)*(a+b+c+g+2)*
(-u+3+g+2*c+2*b+2*a)*(3+a+2*c+g+b-u)*(a+b+2*c+g-u+2)*(4+2*b+2*a+g+2*c-u):

Svg:=-(g+1)*(2*c+g+2)*(2*b+g+2)*(2*b+2*c+g+3)*(2*a+g+2)*(2*a+2*c+g+3)*(a+b+
3+c+g)*(a+b+c+g+2)*(-u+3+g+2*c+2*b+2*a)*(3+a+2*c+g+b-u)*(a+b+2*c+g-u+2)*(4+2*b+
2*a+g+2*c-u):

# (x,\theta,\partial)-expressions 
                                                            # shortform
# Pun=x^2(x-1)^2dx^3 + x(x-1)P1(x)dx^2 + P2(x)dx + P1(x)      [0***00]
# Pan=x(x-1)^2dx^3+(x-1)P1(x)dx^2+P1(x)dx+const               [00***0]
# Pap=x^2(x-1)^2P1(x)dx^3 + x(x-1)P2(x)dx^2 + P3(x)dx + P2(x) [****00]
# Pcn=x(x-1)P1(x)dx^3 + P2(x)dx^2 + P1(x)dx + const           [00***0]
# Pcp=x^2(x-1)^2P1(x)dx^3 + x(x-1)P2(x)dx^2 + P3(x)dx + P2(x) [****00]
# Pgn=x(x-1)P1(x)dx^3 + P2(x)dx^2 + P1(x)dx + const           [00***0]
# Pgp=x^2(x-1)^2P1(x)dx^3 + x(x-1)P2(x)dx^2 + P3(x)dx + P2(x) [****00]

## PQ operators for u\pm1, a\pm1, c\pm1, g\pm2

Pup:=dx:
Qup:=dx:

Pun:=-x*(x-1)*(3*a*x+3*b*x+6*c*x+2*g*x-4*u*x-3*a-3*c-g+2*u)*dx^2+(2*a^2*x^2
+4*a*b*x^2+12*a*c*x^2+3*a*g*x^2-9*a*u*x^2+2*b^2*x^2+12*b*c*x^2+3*b*g*x^2-9*b*u*
x^2+12*c^2*x^2+8*c*g*x^2-18*c*u*x^2+g^2*x^2-6*g*u*x^2+6*u^2*x^2-4*a^2*x-4*a*b*x
-16*a*c*x-4*a*g*x+12*a*u*x+a*x^2-8*b*c*x-2*b*g*x+6*b*u*x+b*x^2-12*c^2*x-8*c*g*x
+18*c*u*x+6*c*x^2-g^2*x+6*g*u*x+g*x^2-6*u^2*x-6*u*x^2+2*a^2+4*a*c+a*g-3*a*u-2*a
*x+2*c^2+c*g-3*c*u-6*c*x-g*u-g*x+u^2+6*u*x+a+c-u)*dx+4*a*b*c-4*a*b*u+4*a*c*g-16
*a*c*u-4*a*g*u+2*b*c*g-8*b*c*u-2*b*g*u-8*c*g*u+4*a^2*c-4*a^2*u+8*a*c^2+6*a*u^2+
4*b*c^2+3*b*u^2+4*c^2*g-12*c^2*u+c*g^2+9*c*u^2-g^2*u+3*g*u^2+6*a*c-8*a*u+2*b*c-\
3*b*u+3*c*g-15*c*u-4*g*u-2*u^3+4*c^3+6*u^2-8*c^3*x+6*c^2-4*b^2*c*x-12*b*c^2*x-\
12*a*c^2*x-8*c^2*g*x-2*c*g^2*x+2*g^2*u*x-8*b*c*x+11*b*u*x-9*b*u^2*x+4*a^2*u*x+4
*b^2*u*x-4*a^2*c*x+30*c*u*x-9*a*u^2*x+24*c^2*u*x-18*c*u^2*x-6*g*u^2*x-8*a*c*x+
11*a*u*x-6*c*g*x+8*g*u*x-12*u^2*x-4*c*x+8*u*x+4*u^3*x-12*c^2*x-8*a*b*c*x+8*a*b*
u*x-6*a*c*g*x+6*a*g*u*x-6*b*c*g*x+24*b*c*u*x+6*b*g*u*x+x^2*(x-1)^2*dx^3+24*a*c*
u*x+16*c*g*u*x-4*u+2*c:

Qun:=-x*(x-1)*(3*a*x+3*b*x+6*c*x+2*g*x-4*u*x-3*a-3*c-g+2*u)*dx^2+(2*a^2*x^2
+4*a*b*x^2+12*a*c*x^2+3*a*g*x^2-9*a*u*x^2+2*b^2*x^2+12*b*c*x^2+3*b*g*x^2-9*b*u*
x^2+12*c^2*x^2+8*c*g*x^2-18*c*u*x^2+g^2*x^2-6*g*u*x^2+6*u^2*x^2-4*a^2*x-4*a*b*x
-16*a*c*x-4*a*g*x+12*a*u*x+a*x^2-8*b*c*x-2*b*g*x+6*b*u*x+b*x^2-12*c^2*x-8*c*g*x
+18*c*u*x+6*c*x^2-g^2*x+6*g*u*x+g*x^2-6*u^2*x-6*u*x^2+2*a^2+4*a*c+a*g-3*a*u-2*a
*x+2*c^2+c*g-3*c*u-6*c*x-g*u-g*x+u^2+6*u*x+a+c-u)*dx+4*a*b*c-4*a*b*u+4*a*c*g-16
*a*c*u-4*a*g*u+2*b*c*g-8*b*c*u-2*b*g*u-8*c*g*u+4*a^2*c-4*a^2*u+8*a*c^2+6*a*u^2+
4*b*c^2+3*b*u^2+4*c^2*g-12*c^2*u+c*g^2+9*c*u^2-g^2*u+3*g*u^2+6*a*c-8*a*u+2*b*c-\
3*b*u+3*c*g-15*c*u-4*g*u-2*u^3+4*c^3+6*u^2-8*c^3*x+6*c^2-4*b^2*c*x-12*b*c^2*x-\
12*a*c^2*x-8*c^2*g*x-2*c*g^2*x+2*g^2*u*x-8*b*c*x+11*b*u*x-9*b*u^2*x+4*a^2*u*x+4
*b^2*u*x-4*a^2*c*x+30*c*u*x-9*a*u^2*x+24*c^2*u*x-18*c*u^2*x-6*g*u^2*x-8*a*c*x+
11*a*u*x-6*c*g*x+8*g*u*x-12*u^2*x-4*c*x+8*u*x+4*u^3*x-12*c^2*x-8*a*b*c*x+8*a*b*
u*x-6*a*c*g*x+6*a*g*u*x-6*b*c*g*x+24*b*c*u*x+6*b*g*u*x+x^2*(x-1)^2*dx^3+24*a*c*
u*x+16*c*g*u*x-4*u+2*c:

Pap:=12+16*a^2*b*c-6*a^2*b*u+16*a^2*c*g-6*a^2*g*u+4*a*b^2*c-2*a*b^2*u+8*a*b
*c^2-3*a*b*u^2+8*a*c^2*g+12*a*c^2*u+5*a*c*g^2-15*a*c*u^2-2*a*g^2*u-3*a*g*u^2+2*
b^2*c*u+8*b*c^2*u-8*b*c*u^2-2*b*g*u^2+8*c^2*g*u+2*c*g^2*u-8*c*g*u^2+46*a*b*c-19
*a*b*u+47*a*c*g-17*a*c*u-19*a*g*u+14*b*c*g-4*b*c*u-6*b*g*u-4*c*g*u+12*a^3*c-4*a
^3*u+12*a^2*c^2-3*a^2*u^2+4*a*c^3-b^2*u^2+8*c^3*u-12*c^2*u^2-g^2*u^2+56*a^2*c-\
21*a^2*u+46*a*c^2-3*a*u^2+6*b^2*c-3*b^2*u+16*b*c^2-2*b*u^2+16*c^2*g+4*c^2*u+7*c
*g^2-13*c*u^2-3*g^2*u-2*g*u^2+82*a*c-33*a*u+32*b*c-14*b*u+33*c*g-21*c*u-14*g*u-
u^4+4*u^3+12*c^3+u^2+(2*a^2*c*x^3-2*a^2*u*x^3+4*a*b*c*x^3-4*a*b*u*x^3+8*a*c^2*x
^3+4*a*c*g*x^3-14*a*c*u*x^3-4*a*g*u*x^3+5*a*u^2*x^3+2*b^2*c*x^3-2*b^2*u*x^3+8*b
*c^2*x^3+4*b*c*g*x^3-14*b*c*u*x^3-4*b*g*u*x^3+5*b*u^2*x^3+8*c^3*x^3+8*c^2*g*x^3
-20*c^2*u*x^3+2*c*g^2*x^3-14*c*g*u*x^3+14*c*u^2*x^3-2*g^2*u*x^3+5*g*u^2*x^3-3*u
^3*x^3-14*a^2*c*x^2+14*a^2*u*x^2-2*a^2*x^3-18*a*b*c*x^2+18*a*b*u*x^2-4*a*b*x^3-\
34*a*c^2*x^2-17*a*c*g*x^2+57*a*c*u*x^2-6*a*c*x^3+17*a*g*u*x^2-4*a*g*x^3-20*a*u^
2*x^2+a*u*x^3-4*b^2*c*x^2+4*b^2*u*x^2-2*b^2*x^3-18*b*c^2*x^2-9*b*c*g*x^2+31*b*c
*u*x^2-6*b*c*x^3+9*b*g*u*x^2-4*b*g*x^3-11*b*u^2*x^2+b*u*x^3-20*c^3*x^2-20*c^2*g
*x^2+48*c^2*u*x^2-4*c^2*x^3-5*c*g^2*x^2+34*c*g*u*x^2-6*c*g*x^3-33*c*u^2*x^2-4*c
*u*x^3+5*g^2*u*x^2-2*g^2*x^3-12*g*u^2*x^2+g*u*x^3+7*u^3*x^2+3*u^2*x^3+4*a^3*x+2
*a^2*b*x+24*a^2*c*x+4*a^2*g*x-20*a^2*u*x+14*a^2*x^2-2*a*b^2*x+14*a*b*c*x-14*a*b
*u*x+18*a*b*x^2+36*a*c^2*x+20*a*c*g*x-56*a*c*u*x+9*a*c*x^2+a*g^2*x-18*a*g*u*x+
17*a*g*x^2+19*a*u^2*x+11*a*u*x^2-4*a*x^3+2*b^2*c*x-2*b^2*u*x+4*b^2*x^2+12*b*c^2
*x+6*b*c*g*x-20*b*c*u*x+5*b*c*x^2-6*b*g*u*x+9*b*g*x^2+7*b*u^2*x+6*b*u*x^2-4*b*x
^3+16*c^3*x+16*c^2*g*x-36*c^2*u*x-6*c^2*x^2+4*c*g^2*x-26*c*g*u*x+7*c*g*x^2+24*c
*u^2*x+33*c*u*x^2-12*c*x^3-4*g^2*u*x+5*g^2*x^2+9*g*u^2*x+5*g*u*x^2-4*g*x^3-5*u^
3*x-15*u^2*x^2+6*u*x^3-4*a^3-2*a^2*b-12*a^2*c-4*a^2*g+8*a^2*u-4*a^2*x-4*a*b*c-a
*b*g+3*a*b*u-14*a*b*x-12*a*c^2-8*a*c*g+16*a*c*u+12*a*c*x-a*g^2+6*a*g*u-9*a*g*x-\
5*a*u^2-23*a*u*x+31*a*x^2-4*b^2*x-2*b*c^2-b*c*g+3*b*c*u-2*b*c*x+b*g*u-6*b*g*x-b
*u^2-5*b*u*x+17*b*x^2-4*c^3-4*c^2*g+8*c^2*u+16*c^2*x-c*g^2+6*c*g*u+2*c*g*x-5*c*
u^2-38*c*u*x+32*c*x^2+g^2*u-3*g^2*x-2*g*u^2-9*g*u*x+17*g*x^2+u^3+15*u^2*x-10*u*
x^2-8*a^2-a*b-16*a*c-4*a*g+12*a*u-24*a*x-b*c+b*u-14*b*x-8*c^2-4*c*g+12*c*u-18*c
*x+4*g*u-13*g*x-4*u^2+2*u*x+12*x^2-3*a-3*c+3*u-12*x)*dx+8*c^3*x^2+2*u^4*x-16*c^
3*x+38*c^2-u^4*x^2+8*c^2*g*x^2-b*u^2*x^2-3*b*u*x^2+2*c*g^2*x^2-4*b*u^3*x-g^2*u*
x^2-4*b^2*c*x+24*c^2*u^2*x+8*a*c^2*x^2+2*b^2*c*x^2-16*b*c^2*x+6*b*c*x^2-28*a*c^
2*x+2*g^2*u^2*x-16*c^2*g*x-4*c*g^2*x+2*g^2*u*x-20*b*c*x+10*b*u*x-a^2*u*x^2+6*b*
u^2*x-16*c^3*u*x-12*c*u^3*x+8*b*c^2*x^2-4*g*u^3*x+6*a^2*u*x-b^2*u*x^2+2*b^2*u^2
*x+2*b^2*u*x-12*a^2*c*x-7*a*u^3*x+6*a^2*u^2*x-12*c^2*u^2*x^2-a^2*u^2*x^2+2*g*u^
3*x^2+8*c^3*u*x^2-g^2*u^2*x^2-b^2*u^2*x^2+2*a^2*c*x^2+2*a*u^3*x^2+6*c*u^3*x^2+2
*b*u^3*x^2-8*c*u*x^2+16*c*u*x-a*u^2*x^2-6*c*u^2*x^2-g*u^2*x^2+6*a*c*x^2+9*a*u^2
*x-3*a*u*x^2-12*c^2*u*x+6*c*g*x^2+24*c*u^2*x+5*g*u^2*x-3*g*u*x^2-32*a*c*x+16*a*
u*x-18*c*g*x+9*g*u*x+u^2*x^2+4*c*x^2+u^2*x-2*u*x^2-20*c*x+10*u*x+2*u^3*x^2+12*c
^2*x^2-7*u^3*x-36*c^2*x+x^2*(x-1)^2*(a*x+b*x+2*c*x+g*x-u*x-2*a-b-2*c-g+u+2*x-3)
*dx^3-x*(x-1)*(a^2*x^2+2*a*b*x^2+6*a*c*x^2+2*a*g*x^2-4*a*u*x^2+b^2*x^2+6*b*c*x^
2+2*b*g*x^2-4*b*u*x^2+8*c^2*x^2+6*c*g*x^2-10*c*u*x^2+g^2*x^2-4*g*u*x^2+3*u^2*x^
2-7*a^2*x-8*a*b*x-21*a*c*x-8*a*g*x+13*a*u*x-a*x^2-b^2*x-9*b*c*x-3*b*g*x+6*b*u*x
-b*x^2-14*c^2*x-11*c*g*x+17*c*u*x+2*c*x^2-2*g^2*x+7*g*u*x-g*x^2-5*u^2*x-3*u*x^2
+6*a^2+3*a*b+12*a*c+5*a*g-7*a*u-8*a*x+3*b*c+b*g-2*b*u-2*b*x+6*c^2+5*c*g-7*c*u-\
14*c*x+g^2-3*g*u-3*g*x+2*u^2+11*u*x-6*x^2+9*a+9*c+3*g-6*u+6*x)*dx^2-2*a*b*u*x^2
-28*a*c^2*u*x+4*a*c*g*x^2+28*a*c*u^2*x+7*a*g*u^2*x-2*a*g*u*x^2-4*b^2*c*u*x-16*b
*c^2*u*x+4*b*c*g*x^2+16*b*c*u^2*x-2*b*c*u*x^2+4*b*g*u^2*x-2*b*g*u*x^2-16*c^2*g*
u*x-4*c*g^2*u*x+16*c*g*u^2*x-16*a*b*c*x+8*a*b*u*x-14*a*c*g*x+7*a*g*u*x-8*b*c*g*
x-4*b*c*u*x+4*b*g*u*x+4*a*b*c*x^2+8*a*b*u^2*x+2*a^2*c*u*x^2-2*a*b*u^2*x^2+8*a*c
^2*u*x^2-8*a*c*u^2*x^2-2*a*g*u^2*x^2+2*b^2*c*u*x^2+8*b*c^2*u*x^2-8*b*c*u^2*x^2-\
2*b*g*u^2*x^2+8*c^2*g*u*x^2+2*c*g^2*u*x^2-8*c*g*u^2*x^2-12*a^2*c*u*x-2*a*c*u*x^
2-2*c*g*u*x^2-4*a*c*u*x-2*c*g*u*x-8*b*c*g*u*x+4*a*b*c*u*x^2+4*a*c*g*u*x^2+4*b*c
*g*u*x^2-14*a*c*g*u*x-16*a*b*c*u*x+g^3+44*a^2+36*b*a+39*g*a+4*b^2+13*g*b+7*g^2+
31*g*a^2+8*b^2*a+23*g*b*a+12*g^2*a+2*g*b^2+3*g^2*b+22*a^3+30*b*a^2+2*g*b^2*a+3*
g^2*b*a+g^3*a+4*b^2*a^2+10*g*b*a^2+5*g^2*a^2+4*a^4+8*b*a^3+8*g*a^3+10*a*b*c*g+2
*a*b*c*u-4*a*b*g*u+2*a*c*g*u+4*b*c*g*u+38*a+14*b+4*a*u^3+2*b*u^3+6*c*u^3+2*g*u^
3-16*u+38*c+16*g:

Qap:=18+16*a^2*b*c-6*a^2*b*u+16*a^2*c*g-6*a^2*g*u+4*a*b^2*c-2*a*b^2*u+8*a*b
*c^2-3*a*b*u^2+8*a*c^2*g+12*a*c^2*u+5*a*c*g^2-15*a*c*u^2-2*a*g^2*u-3*a*g*u^2+2*
b^2*c*u+8*b*c^2*u-8*b*c*u^2-2*b*g*u^2+8*c^2*g*u+2*c*g^2*u-8*c*g*u^2+58*a*b*c-27
*a*b*u+65*a*c*g-43*a*c*u-31*a*g*u+16*b*c*g-8*b*c*u-8*b*g*u-14*c*g*u+26*a*g*x+12
*b*g*x+12*a^3*c-4*a^3*u+12*a^2*c^2-3*a^2*u^2+4*a*c^3-b^2*u^2+8*c^3*u-12*c^2*u^2
-g^2*u^2+80*a^2*c-35*a^2*u+70*a*c^2+4*a*u^2+6*b^2*c-3*b^2*u+20*b*c^2-b*u^2+24*c
^2*g-8*c^2*u+9*c*g^2-7*c*u^2-5*g^2*u+g*u^2+132*a*c-64*a*u+42*b*c-21*b*u+47*c*g-\
47*c*u-25*g*u-u^4+3*u^3+20*c^3+8*u^2-12*x^2*g+24*x*b+30*x*g-12*x^2*a-12*x^2*b-6
*b^2*x^2-6*g^2*x^2+20*a^2*x-6*a^2*x^2+24*c^3*x^2+2*u^4*x-40*c^3*x+62*c^2+54*a*x
-u^4*x^2-12*a*b*x^2-12*a*g*x^2-12*b*g*x^2+24*a*b*x+24*c^2*g*x^2+8*b*u^2*x^2+2*b
*u*x^2+6*c*g^2*x^2-4*b*u^3*x-5*g^2*u*x^2-8*b^2*c*x+24*c^2*u^2*x+24*a*c^2*x^2+6*
b^2*c*x^2-36*b*c^2*x-12*b*c*x^2-68*a*c^2*x+2*g^2*u^2*x-40*c^2*g*x-10*c*g^2*x+8*
g^2*u*x-18*b*c*x+20*b*u*x-5*a^2*u*x^2-4*b*u^2*x-16*c^3*u*x-12*c*u^3*x+24*b*c^2*
x^2-4*g*u^3*x+22*a^2*u*x-5*b^2*u*x^2+2*b^2*u^2*x+6*b^2*u*x-28*a^2*c*x-7*a*u^3*x
+6*a^2*u^2*x-12*c^2*u^2*x^2-a^2*u^2*x^2+2*g*u^3*x^2+8*c^3*u*x^2-g^2*u^2*x^2-b^2
*u^2*x^2+6*a^2*c*x^2+2*a*u^3*x^2+6*c*u^3*x^2+2*b*u^3*x^2-8*c*u*x^2+54*c*u*x+8*a
*u^2*x^2-36*c^2*u*x^2+18*c*u^2*x^2+8*g*u^2*x^2-12*a*c*x^2-10*a*u^2*x+2*a*u*x^2+
36*c^2*u*x-12*c*g*x^2-6*c*u^2*x-7*g*u^2*x+2*g*u*x^2-26*a*c*x+35*a*u*x-10*c*g*x+
17*g*u*x-x*(x-1)*(a^2*x^2+2*a*b*x^2+6*a*c*x^2+2*a*g*x^2-4*a*u*x^2+b^2*x^2+6*b*c
*x^2+2*b*g*x^2-4*b*u*x^2+8*c^2*x^2+6*c*g*x^2-10*c*u*x^2+g^2*x^2-4*g*u*x^2+3*u^2
*x^2-7*a^2*x-8*a*b*x-21*a*c*x-8*a*g*x+13*a*u*x-6*a*x^2-b^2*x-9*b*c*x-3*b*g*x+6*
b*u*x-6*b*x^2-14*c^2*x-11*c*g*x+17*c*u*x-8*c*x^2-2*g^2*x+7*g*u*x-6*g*x^2-5*u^2*
x+2*u*x^2+6*a^2+3*a*b+12*a*c+5*a*g-7*a*u-3*a*x+3*b*c+b*g-2*b*u+2*b*x+6*c^2+5*c*
g-7*c*u-6*c*x+g^2-3*g*u+g*x+2*u^2+7*u*x-16*x^2+11*a+b+11*c+4*g-7*u+15*x+3)*dx^2
+4*u^2*x^2-24*c*x^2-14*u^2*x+12*u*x^2+12*c*x+7*u*x-3*u^3*x^2-u^3*x-52*c^2*x+x^2
*(x-1)^2*(a*x+b*x+2*c*x+g*x-u*x-2*a-b-2*c-g+u+2*x-3)*dx^3+(2*a^2*c*x^3-2*a^2*u*
x^3+4*a*b*c*x^3-4*a*b*u*x^3+8*a*c^2*x^3+4*a*c*g*x^3-14*a*c*u*x^3-4*a*g*u*x^3+5*
a*u^2*x^3+2*b^2*c*x^3-2*b^2*u*x^3+8*b*c^2*x^3+4*b*c*g*x^3-14*b*c*u*x^3-4*b*g*u*
x^3+5*b*u^2*x^3+8*c^3*x^3+8*c^2*g*x^3-20*c^2*u*x^3+2*c*g^2*x^3-14*c*g*u*x^3+14*
c*u^2*x^3-2*g^2*u*x^3+5*g*u^2*x^3-3*u^3*x^3-14*a^2*c*x^2+14*a^2*u*x^2-6*a^2*x^3
-18*a*b*c*x^2+18*a*b*u*x^2-12*a*b*x^3-34*a*c^2*x^2-17*a*c*g*x^2+57*a*c*u*x^2-28
*a*c*x^3+17*a*g*u*x^2-12*a*g*x^3-20*a*u^2*x^2+15*a*u*x^3-4*b^2*c*x^2+4*b^2*u*x^
2-6*b^2*x^3-18*b*c^2*x^2-9*b*c*g*x^2+31*b*c*u*x^2-28*b*c*x^3+9*b*g*u*x^2-12*b*g
*x^3-11*b*u^2*x^2+15*b*u*x^3-20*c^3*x^2-20*c^2*g*x^2+48*c^2*u*x^2-32*c^2*x^3-5*
c*g^2*x^2+34*c*g*u*x^2-28*c*g*x^3-33*c*u^2*x^2+30*c*u*x^3+5*g^2*u*x^2-6*g^2*x^3
-12*g*u^2*x^2+15*g*u*x^3+7*u^3*x^2-7*u^2*x^3+4*a^3*x+2*a^2*b*x+24*a^2*c*x+4*a^2
*g*x-20*a^2*u*x+34*a^2*x^2-2*a*b^2*x+14*a*b*c*x-14*a*b*u*x+42*a*b*x^2+36*a*c^2*
x+20*a*c*g*x-56*a*c*u*x+68*a*c*x^2+a*g^2*x-18*a*g*u*x+43*a*g*x^2+19*a*u^2*x-22*
a*u*x^2+2*b^2*c*x-2*b^2*u*x+8*b^2*x^2+12*b*c^2*x+6*b*c*g*x-20*b*c*u*x+36*b*c*x^
2-6*b*g*u*x+21*b*g*x^2+7*b*u^2*x-13*b*u*x^2+16*c^3*x+16*c^2*g*x-36*c^2*u*x+40*c
^2*x^2+4*c*g^2*x-26*c*g*u*x+46*c*g*x^2+24*c*u^2*x-20*c*u*x^2-16*c*x^3-4*g^2*u*x
+13*g^2*x^2+9*g*u^2*x-18*g*u*x^2-5*u^3*x+14*u*x^3-4*a^3-2*a^2*b-12*a^2*c-4*a^2*
g+8*a^2*u-18*a^2*x-4*a*b*c-a*b*g+3*a*b*u-26*a*b*x-12*a*c^2-8*a*c*g+16*a*c*u-18*
a*c*x-a*g^2+6*a*g*u-25*a*g*x-5*a*u^2-9*a*u*x+66*a*x^2-4*b^2*x-2*b*c^2-b*c*g+3*b
*c*u-10*b*c*x+b*g*u-10*b*g*x-b*u^2-b*u*x+24*b*x^2-4*c^3-4*c^2*g+8*c^2*u-c*g^2+6
*c*g*u-14*c*g*x-5*c*u^2-22*c*u*x+72*c*x^2+g^2*u-7*g^2*x-2*g*u^2-g*u*x+30*g*x^2+
u^3+11*u^2*x-37*u*x^2+24*x^3-10*a^2-2*a*b-20*a*c-5*a*g+15*a*u-60*a*x-2*b*c+2*b*
u-22*b*x-10*c^2-5*c*g+15*c*u-48*c*x+5*g*u-29*g*x-5*u^2+16*u*x+6*x^2-6*a-6*c+6*u
-30*x)*dx+4*b^2*x+8*g^2*x-10*a*b*u*x^2-28*a*c^2*u*x+12*a*c*g*x^2+28*a*c*u^2*x+7
*a*g*u^2*x-10*a*g*u*x^2-4*b^2*c*u*x-16*b*c^2*u*x+12*b*c*g*x^2+16*b*c*u^2*x-28*b
*c*u*x^2+4*b*g*u^2*x-10*b*g*u*x^2-16*c^2*g*u*x-4*c*g^2*u*x+16*c*g*u^2*x-36*a*b*
c*x+28*a*b*u*x-34*a*c*g*x+27*a*g*u*x-18*b*c*g*x+26*b*c*u*x+14*b*g*u*x+12*a*b*c*
x^2+8*a*b*u^2*x+2*a^2*c*u*x^2-2*a*b*u^2*x^2+8*a*c^2*u*x^2-8*a*c*u^2*x^2-2*a*g*u
^2*x^2+2*b^2*c*u*x^2+8*b*c^2*u*x^2-8*b*c*u^2*x^2-2*b*g*u^2*x^2+8*c^2*g*u*x^2+2*
c*g^2*u*x^2-8*c*g*u^2*x^2-12*a^2*c*u*x-28*a*c*u*x^2-28*c*g*u*x^2+54*a*c*u*x+34*
c*g*u*x-8*b*c*g*u*x+4*a*b*c*u*x^2+4*a*c*g*u*x^2+4*b*c*g*u*x^2-14*a*c*g*u*x-16*a
*b*c*u*x+g^3+70*a^2+48*b*a+56*g*a+4*b^2+15*g*b+8*g^2+41*g*a^2+8*b^2*a+27*g*b*a+
15*g^2*a+2*g*b^2+3*g^2*b+30*a^3+38*b*a^2+2*g*b^2*a+3*g^2*b*a+g^3*a+4*b^2*a^2+10
*g*b*a^2+5*g^2*a^2+4*a^4+8*b*a^3+8*g*a^3+10*a*b*c*g+2*a*b*c*u-4*a*b*g*u+2*a*c*g
*u+4*b*c*g*u+30*x+62*a+18*b+4*a*u^3+2*b*u^3+6*c*u^3+2*g*u^3-32*u+62*c+21*g:

Pan:=x*(x-1)^2*dx^3-(x-1)*(a*x+3*b*x+4*c*x+g*x-3*u*x-a-c+u-x+1)*dx^2+(-4*a^
2*x-2*a*b*x-2*a*c*x-4*a*g*x-2*a*u*x+2*b^2*x+6*b*c*x-6*b*u*x+4*c^2*x-8*c*u*x-g^2
*x-2*g*u*x+3*u^2*x+4*a^2+2*a*b+2*a*c+4*a*g+2*a*u-6*a*x-2*b*c+b*g+3*b*u-2*b*x-2*
c^2+c*g+5*c*u-2*c*x+g^2+g*u-3*g*x-2*u^2-u*x+6*a+3*b+3*c+3*g-2*x+2)*dx+(2*a+g+u+
1)*(2+2*b+2*a+g+2*c-u)*(1+a+2*c+g+b-u):

Qan:=x*(x-1)^2*dx^3-(x-1)*(a*x+3*b*x+4*c*x+g*x-3*u*x-a-c+u-4*x+2)*dx^2+(-4*
a^2*x-2*a*b*x-2*a*c*x-4*a*g*x-2*a*u*x+2*b^2*x+6*b*c*x-6*b*u*x+4*c^2*x-8*c*u*x-g
^2*x-2*g*u*x+3*u^2*x+4*a^2+2*a*b+2*a*c+4*a*g+2*a*u-4*a*x-2*b*c+b*g+3*b*u-6*b*x-\
2*c^2+c*g+5*c*u-8*c*x+g^2+g*u-3*g*x-2*u^2+5*u*x+4*a+4*b+6*c+2*g-4*u+2*x-2)*dx+(
2*a+g+u+1)*(2*a+2*b+2*c+g-u)*(-u+a+g+2*c+b):

Pcp:=72+40*a^4*b*u*x^2+80*a^4*c*u*x^2+32*a^4*g*u*x^2+80*a^3*b^2*u*x^2-144*a
^3*b*u^2*x^2+336*a^3*c^2*u*x^2-300*a^3*c*u^2*x^2+50*a^3*g^2*u*x^2-114*a^3*g*u^2
*x^2+80*a^2*b^3*u*x^2-216*a^2*b^2*u^2*x^2+198*a^2*b*u^3*x^2+704*a^2*c^3*u*x^2-\
924*a^2*c^2*u^2*x^2+396*a^2*c*u^3*x^2+38*a^2*g^3*u*x^2-132*a^2*g^2*u^2*x^2+156*
a^2*g*u^3*x^2+40*a*b^4*u*x^2-144*a*b^3*u^2*x^2+198*a*b^2*u^3*x^2-110*a*b*u^4*x^
2+720*a*c^4*u*x^2-1248*a*c^3*u^2*x^2+792*a*c^2*u^3*x^2-216*a*c*u^4*x^2+14*a*g^4
*u*x^2-66*a*g^3*u^2*x^2+120*a*g^2*u^3*x^2-89*a*g*u^4*x^2+80*b^4*c*u*x^2+32*b^4*
g*u*x^2+336*b^3*c^2*u*x^2-300*b^3*c*u^2*x^2+50*b^3*g^2*u*x^2-114*b^3*g*u^2*x^2+
704*b^2*c^3*u*x^2-924*b^2*c^2*u^2*x^2+396*b^2*c*u^3*x^2+38*b^2*g^3*u*x^2-132*b^
2*g^2*u^2*x^2+156*b^2*g*u^3*x^2+720*b*c^4*u*x^2-1248*b*c^3*u^2*x^2+792*b*c^2*u^
3*x^2-216*b*c*u^4*x^2+14*b*g^4*u*x^2-66*b*g^3*u^2*x^2+120*b*g^2*u^3*x^2-89*b*g*
u^4*x^2+544*c^4*g*u*x^2+400*c^3*g^2*u*x^2-50*b*g^2*u*x-1636*a*b*g*x+15*u^5+128*
a^3*b*g*u*x^2+616*a^2*b*c+92*a^2*b*u+610*a^2*c*g+117*a^2*g*u+220*a*b^2*c+52*a*b
^2*u+684*a*b*c^2-410*a*b*u^2+656*a*c^2*g+882*a*c^2*u+219*a*c*g^2-1198*a*c*u^2+
120*a*g^2*u-440*a*g*u^2+178*b^2*c*u+706*b*c^2*u-772*b*c*u^2-282*b*g*u^2+776*c^2
*g*u+313*c*g^2*u-812*c*g*u^2+912*a*b*c-44*a*b*u+922*a*c*g-20*a*c*u-9*a*g*u+336*
b*c*g+96*b*c*u+47*b*g*u+165*c*g*u-1308*a*g*x-900*b*g*x+756*a^2*b*c*g*u*x^2+756*
a*b^2*c*g*u*x^2+1560*a*b*c^2*g*u*x^2+580*a*b*c*g^2*u*x^2-1404*a*b*c*g*u^2*x^2-\
896*a^2*b*c*g*u*x-616*a*b^2*c*g*u*x-1560*a*b*c^2*g*u*x-580*a*b*c*g^2*u*x+1404*a
*b*c*g*u^2*x+1824*a*b*c*g*u*x^2-1824*a*b*c*g*u*x-1260*a^2*c*g*u*x-616*a*b^2*c*g
*x-928*a*b^2*c*u*x-368*a*b^2*g*u*x-1560*a*b*c^2*g*x-2544*a*b*c^2*u*x-580*a*b*c*
g^2*x+3228*a*b*c*g*x^2+3120*a*b*c*u^2*x-352*a*b*g^2*u*x+1152*a*b*g*u^2*x+172*a*
b*g*u*x^2-2252*a*c^2*g*u*x-806*a*c*g^2*u*x+2776*a*c*g*u^2*x-564*b^2*c*g*u*x-\
1588*b*c^2*g*u*x-570*b*c*g^2*u*x+2000*b*c*g*u^2*x-3228*a*b*c*g*x-172*a*b*g*u*x+
8*a^5*x^2-16*c^6-840*c^3*u^2-47*g^3*u^2-56*c^4*g^2-32*c^3*g^3-9*c^2*g^4-c*g^5+g
^5*u-5*g^4*u^2-48*a*c^5-48*c^5*g+359*b*c*g^2*u+477*a*c*g^2*u+276*b^2*c*g*u+950*
b*c^2*g*u+1282*a*c^2*g*u+1240*a*b*c^2*u-18*a*b*c*g^2+160*a*b*g^2*u+348*a*b^2*c*
u+118*a*b^2*g*u-76*a*b*c^2*g+596*a^2*b*c*u+206*a^2*b*g*u+624*a^2*c*g*u+140*a^2*
b*c*g-89*a*u^4+6*b*u^5-60*b*u^4+6*g*u^5-60*g*u^4+8*b^3*u^3-20*b^3*u^2+412*a^3*c
+44*a^3*u+840*a^2*c^2-331*a^2*u^2+692*a*c^3-106*b^2*u^2+612*c^3*u-1051*c^2*u^2-\
152*g^2*u^2+976*a^2*c-72*a^2*u+1360*a*c^2-271*a*u^2+160*b^2*c-6*b^2*u+572*b*c^2
-168*b*u^2+550*c^2*g+156*c^2*u+164*c*g^2-511*c*u^2+37*g^2*u-192*g*u^2+1000*a*c-\
168*a*u+444*b*c-70*b*u+454*c*g-172*c*u-52*g*u+(8*a^5*x^3+40*a^4*b*x^3+80*a^4*c*
x^3+32*a^4*g*x^3-48*a^4*u*x^3+80*a^3*b^2*x^3+320*a^3*b*c*x^3+128*a^3*b*g*x^3-\
192*a^3*b*u*x^3+336*a^3*c^2*x^3+252*a^3*c*g*x^3-400*a^3*c*u*x^3+50*a^3*g^2*x^3-\
152*a^3*g*u*x^3+110*a^3*u^2*x^3+80*a^2*b^3*x^3+480*a^2*b^2*c*x^3+192*a^2*b^2*g*
x^3-288*a^2*b^2*u*x^3+1008*a^2*b*c^2*x^3+756*a^2*b*c*g*x^3-1200*a^2*b*c*u*x^3+
150*a^2*b*g^2*x^3-456*a^2*b*g*u*x^3+330*a^2*b*u^2*x^3+704*a^2*c^3*x^3+780*a^2*c
^2*g*x^3-1232*a^2*c^2*u*x^3+290*a^2*c*g^2*x^3-936*a^2*c*g*u*x^3+660*a^2*c*u^2*x
^3+38*a^2*g^3*x^3-176*a^2*g^2*u*x^3+260*a^2*g*u^2*x^3-110*a^2*u^3*x^3+40*a*b^4*
x^3+320*a*b^3*c*x^3+128*a*b^3*g*x^3-192*a*b^3*u*x^3+1008*a*b^2*c^2*x^3+756*a*b^
2*c*g*x^3-1200*a*b^2*c*u*x^3+150*a*b^2*g^2*x^3-456*a*b^2*g*u*x^3+330*a*b^2*u^2*
x^3+1408*a*b*c^3*x^3+1560*a*b*c^2*g*x^3-2464*a*b*c^2*u*x^3+580*a*b*c*g^2*x^3-\
1872*a*b*c*g*u*x^3+1320*a*b*c*u^2*x^3+76*a*b*g^3*x^3-352*a*b*g^2*u*x^3+520*a*b*
g*u^2*x^3-220*a*b*u^3*x^3+720*a*c^4*x^3+1072*a*c^3*g*x^3-1664*a*c^3*u*x^3+588*a
*c^2*g^2*x^3-1904*a*c^2*g*u*x^3+1320*a*c^2*u^2*x^3+144*a*c*g^3*x^3-712*a*c*g^2*
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u^2*x^3-178*a*g*u^3*x^3+49*a*u^4*x^3+8*b^5*x^3+80*b^4*c*x^3+32*b^4*g*x^3-48*b^4
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1124*a^2*g*x-832*a*b^2*x-730*a*g^2*x-512*b^2*g*x-518*b*g^2*x:

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b^3*u^2-10*b^3*g*u^2-146*b^2*c*g*u^2+424*b*c^3*g*u+246*b*c^2*g^2*u-436*b*c^2*g*
u^2+60*b*c*g^3*u-247*a*c*g^2*u^2+28*b^3*c*g*u+212*b^2*c^2*g*u+74*b^2*c*g^2*u+
592*a*c^3*g*u+338*a*c^2*g^2*u-652*a*c^2*g*u^2+82*a*c*g^3*u+592*a*b*c^3*u-108*a*
b*c^2*g^2-652*a*b*c^2*u^2-20*a*b*c*g^3+28*a*b*g^3*u-90*a*b*g^2*u^2+296*a*b^2*c^
2*u-24*a*b^2*c*g^2-224*a*b^2*c*u^2+34*a*b^2*g^2*u-76*a*b^2*g*u^2-192*a*b*c^3*g-\
372*a^2*c*g*u^2-8*a*b^3*c*g+40*a*b^3*c*u+12*a*b^3*g*u-88*a*b^2*c^2*g-138*a^2*b*
g*u^2+472*a^2*c^2*g*u+172*a^2*c*g^2*u-16*a^2*b^2*c*g+144*a^2*b^2*c*u+48*a^2*b^2
*g*u-88*a^2*b*c^2*g+472*a^2*b*c^2*u-24*a^2*b*c*g^2-372*a^2*b*c*u^2+60*a^2*b*g^2
*u-8*a^3*b*c*g+168*a^3*b*c*u+28*g^3+1280*a^2+948*b*a+1070*g*a+120*b^2+274*g*b+
142*g^2-165*b*c*g^2*u^2+1178*g*a^2+312*b^2*a+832*g*b*a+458*g^2*a+70*g*b^2+82*g^
2*b+800*a^3+1096*b*a^2+190*g*b^2*a+244*g^2*b*a+86*g^3*a+292*b^2*a^2+688*g*b*a^2
+358*g^2*a^2+228*a^4+488*b*a^3+502*g*a^3+115*c*g^3*u+612*c^3*g*u+410*c^2*g^2*u-\
30*b*c*g^3+42*b*g^3*u-88*b*c^3*g+664*b*c^3*u-112*b*c^2*g^2-32*b^2*c*g^2+47*b^2*
g^2*u-80*b^2*c^2*g+380*b^2*c^2*u-8*b^3*c*g+38*a*g^3*u+36*a*c*g^3+448*a*c^3*g+
568*a*c^3*u+172*a*c^2*g^2+400*a*b*c^3+144*a*b^2*c^2+24*a*b^3*c+31*a^2*g^2*u+732
*a^2*c^2*g+252*a^2*c^2*u+262*a^2*c*g^2+240*a^2*b^2*c+8*a^2*b^2*u+704*a^2*b*c^2+
412*a^3*c*g+4*a^3*c*u-6*a^3*g*u+408*a^3*b*c-8*a^3*b*u+156*a^3*b*g+96*a^2*b^2*g+
108*a^2*b*g^2+12*a*b^3*g+30*a*b^2*g^2+24*a*b*g^3-1118*a^2*c*u+88*b*g^2*u+71*b*c
*g^2+76*b^2*c*g+61*b^2*g*u+464*b*c^2*g+1350*a*b*c*g-468*a*b*c*u-142*a*b*g*u-611
*a*c*g*u+345*b*c*g*u-354*c*u^4*x^2-2*g^5*u*x+12*g^4*u^2*x-8*g^4*u*x^2-30*g^3*u^
3*x-48*g^3*u^2*x^2+35*g^2*u^4*x+150*g^2*u^3*x^2-18*g*u^5*x-139*g*u^4*x^2-192*a^
4*b*x-432*a^4*c*x-168*a^4*g*x+32*a^4*u*x-288*a^3*b^2*x+1008*a^3*b*x^2-1568*a^3*
c^2*x+2076*a^3*c*x^2-228*a^3*g^2*x+798*a^3*g*x^2+200*a^3*u^2*x-588*a^3*u*x^2-\
192*a^2*b^3*x+1512*a^2*b^2*x^2-2848*a^2*c^3*x+6588*a^2*c^2*x^2-150*a^2*g^3*x+
924*a^2*g^2*x^2-352*a^2*u^3*x-48*a*b^4*x+1008*a*b^3*x^2-2528*a*c^4*x+9120*a*c^3
*x^2-48*a*g^4*x+462*a*g^3*x^2+203*a*u^4*x-48*b^4*c*x-24*b^4*g*x+16*b^4*u*x-448*
b^3*c^2*x+2076*b^3*c*x^2-72*b^3*g^2*x+798*b^3*g*x^2+28*b^3*u^2*x-588*b^3*u*x^2-\
1376*b^2*c^3*x+6588*b^2*c^2*x^2-78*b^2*g^3*x+924*b^2*g^2*x^2-176*b^2*u^3*x-1792
*b*c^4*x+9120*b*c^3*x^2-36*b*g^4*x+462*b*g^3*x^2+155*b*u^4*x-1632*c^4*g*x+336*c
^4*u*x-1200*c^3*g^2*x+6864*c^3*g*x^2+1104*c^3*u^2*x-432*c^2*g^3*x+3744*c^2*g^2*
x^2-1080*c^2*u^3*x-78*c*g^4*x+900*c*g^3*x^2+354*c*u^4*x+8*g^4*u*x+48*g^3*u^2*x-\
260*g^3*u*x^2-150*g^2*u^3*x+506*c^2*u^3+78*g^2*u^3+164*a^2*u^3-864*x+924*a+300*
b+8*a^5*u-28*a^4*u^2-16*a^3*c^3-48*a^2*c^4-110*a^3*u^2+864*x^2+222*a*u^3+184*b*
u^3+428*c*u^3+169*g*u^3+11*g^3*u^3+38*a^3*u^3-360*u+1176*c+312*g-16*a^5*u*x+16*
b^3+2*g^4+748*c^4+24*a^5+80*c^5+10044*a*c^2*g*x^2+1908*a*c^2*u^2*x-498*a*c*g^3*
x+3666*a*c*g^2*x^2-1244*a*c*u^3*x+48*a*g^3*u*x+238*a*g^2*u^2*x-1050*a*g^2*u*x^2
-470*a*g*u^3*x-336*b^3*c*g*x+160*b^3*c*u*x+56*b^3*g*u*x-1528*b^2*c^2*g*x+448*b^
2*c^2*u*x-576*b^2*c*g^2*x+4842*b^2*c*g*x^2+472*b^2*c*u^2*x+72*b^2*g^2*u*x+144*b
^2*g*u^2*x-1378*b^2*g*u*x^2-2680*b*c^3*g*x+608*b*c^3*u*x-1480*b*c^2*g^2*x+10044
*b*c^2*g*x^2+1356*b*c^2*u^2*x-366*b*c*g^3*x+3666*b*c*g^2*x^2-916*b*c*u^3*x+40*b
*g^3*u*x+158*b*g^2*u^2*x-1050*b*g^2*u*x^2-334*b*g*u^3*x+592*c^3*g*u*x+372*c^2*g
^2*u*x+1188*c^2*g*u^2*x+96*c*g^3*u*x+414*c*g^2*u^2*x-816*c*g*u^3*x-7560*a^2*b*c
*x-2892*a^2*b*g*x+2084*a^2*b*u*x-6744*a^2*c*g*x+1854*a^2*g*u*x-4896*a*b^2*c*x-\
1896*a*b^2*g*x+1444*a*b^2*u*x-13176*a*b*c^2*x-1848*a*b*g^2*x+4908*a*b*g*x^2-\
11900*a*c^2*g*x-4320*a*c*g^2*x+1220*a*g^2*u*x-2940*b^2*c*g*x+902*b^2*g*u*x-8188
*b*c^2*g*x-3012*b*c*g^2*x+139*g*u^4*x-1464*a^3*b*x-3408*a^3*c*x-1296*a^3*g*x+
908*a^3*u*x-1512*a^2*b^2*x+3132*a^2*b*x^2-9184*a^2*c^2*x-1272*a^2*g^2*x+2454*a^
2*g*x^2-552*a*b^3*x+3132*a*b^2*x^2-10840*a*c^3*x-540*a*g^3*x+1872*a*g^2*x^2-744
*b^3*c*x-300*b^3*g*x+268*b^3*u*x-3992*b^2*c^2*x-576*b^2*g^2*x+2454*b^2*g*x^2-\
7400*b*c^3*x-384*b*g^3*x+1872*b*g^2*x^2-6864*c^3*g*x-3744*c^2*g^2*x-900*c*g^3*x
+260*g^3*u*x-3916*a^2*b*x-3562*a^2*g*x-2348*a*b^2*x-2248*a*g^2*x-1346*b^2*g*x-\
1496*b*g^2*x:

Pcn:=(x-1)*(2*a*x+2*b*x+4*c*x+2*g*x-2*b-2*c-g+2*x-1)*x*dx^3+(-6*a^2*x^2-12*
a*b*x^2-24*a*c*x^2-10*a*g*x^2+6*a*u*x^2-6*b^2*x^2-24*b*c*x^2-10*b*g*x^2+6*b*u*x
^2-24*c^2*x^2-20*c*g*x^2+12*c*u*x^2-4*g^2*x^2+6*g*u*x^2+6*a^2*x+12*a*b*x+24*a*c
*x+11*a*g*x-4*a*u*x-6*a*x^2+6*b^2*x+24*b*c*x+9*b*g*x-8*b*u*x-6*b*x^2+24*c^2*x+
20*c*g*x-12*c*u*x-12*c*x^2+4*g^2*x-6*g*u*x-4*g*x^2+6*u*x^2-2*a*b-2*a*c-a*g+9*a*
x-2*b*c+2*b*u+3*b*x-2*c^2-c*g+2*c*u+12*c*x+g*u+4*g*x-6*u*x-a+2*b+c+g+u+1)*dx^2+
(4*a^3*x+12*a^2*b*x+32*a^2*c*x+10*a^2*g*x-12*a^2*u*x+12*a*b^2*x+64*a*b*c*x+20*a
*b*g*x-24*a*b*u*x+72*a*c^2*x+52*a*c*g*x-48*a*c*u*x+8*a*g^2*x-20*a*g*u*x+6*a*u^2
*x+4*b^3*x+32*b^2*c*x+10*b^2*g*x-12*b^2*u*x+72*b*c^2*x+52*b*c*g*x-48*b*c*u*x+8*
b*g^2*x-20*b*g*u*x+6*b*u^2*x+48*c^3*x+56*c^2*g*x-48*c^2*u*x+20*c*g^2*x-40*c*g*u
*x+12*c*u^2*x+2*g^3*x-8*g^2*u*x+6*g*u^2*x-4*a^3-8*a^2*b-20*a^2*c-8*a^2*g+6*a^2*
u+6*a^2*x-4*a*b^2-32*a*b*c-10*a*b*g+12*a*b*u+12*a*b*x-40*a*c^2-30*a*c*g+24*a*c*
u+40*a*c*x-5*a*g^2+11*a*g*u+10*a*g*x-2*a*u^2-18*a*u*x-12*b^2*c-2*b^2*g+6*b^2*u+
6*b^2*x-32*b*c^2-22*b*c*g+24*b*c*u+40*b*c*x-3*b*g^2+9*b*g*u+10*b*g*x-4*b*u^2-18
*b*u*x-24*c^3-28*c^2*g+24*c^2*u+48*c^2*x-10*c*g^2+20*c*g*u+32*c*g*x-6*c*u^2-36*
c*u*x-g^3+4*g^2*u+4*g^2*x-3*g*u^2-14*g*u*x+6*u^2*x-8*a^2-6*a*b-26*a*c-8*a*g+11*
a*u+2*a*x+2*b^2-14*b*c-2*b*g+7*b*u+2*b*x-24*c^2-16*c*g+18*c*u+12*c*x-2*g^2+7*g*
u+2*g*x-3*u^2-6*u*x-3*a+b-6*c-g+3*u)*dx-2*(2*c-u)*(1+a+2*c+g+b-u)*(2+2*b+2*a+g+
2*c-u)*(a+b+2*c+g+1):

Qcn:=(x-1)*(2*a*x+2*b*x+4*c*x+2*g*x-2*b-2*c-g+2*x-1)*x*dx^3+(-6*a^2*x^2-12*
a*b*x^2-24*a*c*x^2-10*a*g*x^2+6*a*u*x^2-6*b^2*x^2-24*b*c*x^2-10*b*g*x^2+6*b*u*x
^2-24*c^2*x^2-20*c*g*x^2+12*c*u*x^2-4*g^2*x^2+6*g*u*x^2+6*a^2*x+12*a*b*x+24*a*c
*x+11*a*g*x-4*a*u*x+6*a*x^2+6*b^2*x+24*b*c*x+9*b*g*x-8*b*u*x+6*b*x^2+24*c^2*x+
20*c*g*x-12*c*u*x+12*c*x^2+4*g^2*x-6*g*u*x+8*g*x^2+6*u*x^2-2*a*b-2*a*c-a*g-a*x-\
2*b*c+2*b*u-11*b*x-2*c^2-c*g+2*c*u-12*c*x+g*u-8*g*x-6*u*x+12*x^2-a+4*b+3*c+2*g+
u-12*x+2)*dx^2+(4*a^3*x+12*a^2*b*x+32*a^2*c*x+10*a^2*g*x-12*a^2*u*x+12*a*b^2*x+
64*a*b*c*x+20*a*b*g*x-24*a*b*u*x+72*a*c^2*x+52*a*c*g*x-48*a*c*u*x+8*a*g^2*x-20*
a*g*u*x+6*a*u^2*x+4*b^3*x+32*b^2*c*x+10*b^2*g*x-12*b^2*u*x+72*b*c^2*x+52*b*c*g*
x-48*b*c*u*x+8*b*g^2*x-20*b*g*u*x+6*b*u^2*x+48*c^3*x+56*c^2*g*x-48*c^2*u*x+20*c
*g^2*x-40*c*g*u*x+12*c*u^2*x+2*g^3*x-8*g^2*u*x+6*g*u^2*x-4*a^3-8*a^2*b-20*a^2*c
-8*a^2*g+6*a^2*u-18*a^2*x-4*a*b^2-32*a*b*c-10*a*b*g+12*a*b*u-36*a*b*x-40*a*c^2-\
30*a*c*g+24*a*c*u-56*a*c*x-5*a*g^2+11*a*g*u-30*a*g*x-2*a*u^2+6*a*u*x-12*b^2*c-2
*b^2*g+6*b^2*u-18*b^2*x-32*b*c^2-22*b*c*g+24*b*c*u-56*b*c*x-3*b*g^2+9*b*g*u-30*
b*g*x-4*b*u^2+6*b*u*x-24*c^3-28*c^2*g+24*c^2*u-48*c^2*x-10*c*g^2+20*c*g*u-48*c*
g*x-6*c*u^2+12*c*u*x-g^3+4*g^2*u-12*g^2*x-3*g*u^2+10*g*u*x+6*u^2*x+6*a^2+18*a*b
+26*a*c+15*a*g+a*u-10*a*x+12*b^2+30*b*c+15*b*g-7*b*u-10*b*x+24*c^2+24*c*g-6*c*u
-12*c*x+6*g^2-5*g*u-2*g*x-3*u^2+18*u*x+8*a+2*b+6*c+g-9*u+12*x-6)*dx-2*(2*c-u-2)
*(-u-1+a+b+2*c+g)*(2*a+2*b+2*c+g-u)*(a+b+2*c+g+1):

Pgp:=-72+16*a^4*c*u*x^2-32*a^3*b*u^2*x^2+80*a^3*c^2*u*x^2-64*a^3*c*u^2*x^2-\
28*a^3*g*u^2*x^2-48*a^2*b^2*u^2*x^2+36*a^2*b*u^3*x^2+144*a^2*c^3*u*x^2-168*a^2*
c^2*u^2*x^2+60*a^2*c*u^3*x^2-37*a^2*g^2*u^2*x^2+36*a^2*g*u^3*x^2-32*a*b^3*u^2*x
^2+36*a*b^2*u^3*x^2-12*a*b*u^4*x^2+112*a*c^4*u*x^2-176*a*c^3*u^2*x^2+96*a*c^2*u
^3*x^2-20*a*c*u^4*x^2-22*a*g^3*u^2*x^2+36*a*g^2*u^3*x^2-15*a*g*u^4*x^2+16*b^4*c
*u*x^2+80*b^3*c^2*u*x^2-64*b^3*c*u^2*x^2-28*b^3*g*u^2*x^2+144*b^2*c^3*u*x^2-168
*b^2*c^2*u^2*x^2+60*b^2*c*u^3*x^2-37*b^2*g^2*u^2*x^2+36*b^2*g*u^3*x^2+112*b*c^4
*u*x^2-176*b*c^3*u^2*x^2+96*b*c^2*u^3*x^2-20*b*c*u^4*x^2-22*b*g^3*u^2*x^2+36*b*
g^2*u^3*x^2-15*b*g*u^4*x^2+128*c^4*g*u*x^2+144*c^3*g^2*u*x^2+153*b*g^2*u*x+2*u^
5-864*a^2*b*c+376*a^2*b*u-970*a^2*c*g+409*a^2*g*u-792*a*b^2*c+340*a*b^2*u-1724*
a*b*c^2-417*a*b*u^2-1868*a*c^2*g+1522*a*c^2*u-1200*a*c*g^2-735*a*c*u^2+484*a*g^
2*u-414*a*g*u^2+732*b^2*c*u+1498*b*c^2*u-763*b*c*u^2-409*b*g*u^2+1528*c^2*g*u+
896*c*g^2*u-749*c*g*u^2-1292*a*b*c+536*a*b*u-1520*a*c*g+1122*a*c*u+617*a*g*u-\
1506*b*c*g+1072*b*c*u+610*b*g*u+1167*c*g*u+168*a^2*b*c*g*u*x^2+168*a*b^2*c*g*u*
x^2+440*a*b*c^2*g*u*x^2+148*a*b*c*g^2*u*x^2-364*a*b*c*g*u^2*x^2-144*a^2*b*c*g*u
*x-192*a*b^2*c*g*u*x-440*a*b*c^2*g*u*x-148*a*b*c*g^2*u*x+364*a*b*c*g*u^2*x+344*
a*b*c*g*u*x^2-344*a*b*c*g*u*x-160*a^2*c*g*u*x-192*a*b^2*c*g*x-240*a*b^2*c*u*x+
96*a*b^2*g*u*x-440*a*b*c^2*g*x-680*a*b*c^2*u*x-148*a*b*c*g^2*x+708*a*b*c*g*x^2+
724*a*b*c*u^2*x+74*a*b*g^2*u*x+282*a*b*g*u^2*x-354*a*b*g*u*x^2-584*a*c^2*g*u*x-\
140*a*c*g^2*u*x+644*a*c*g*u^2*x-184*b^2*c*g*u*x-584*b*c^2*g*u*x-132*b*c*g^2*u*x
+684*b*c*g*u^2*x-708*a*b*c*g*x+354*a*b*g*u*x-g^6-16*c^6-328*c^3*u^2-67*g^3*u^2-\
104*c^4*g^2-88*c^3*g^3-41*c^2*g^4-10*c*g^5+4*g^5*u-8*g^4*u^2-64*a*c^5-64*c^5*g+
879*b*c*g^2*u+883*a*c*g^2*u+798*b^2*c*g*u+1530*b*c^2*g*u+1530*a*c^2*g*u+1532*a*
b*c^2*u-1182*a*b*c*g^2+477*a*b*g^2*u+804*a*b^2*c*u+402*a*b^2*g*u-1892*a*b*c^2*g
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*b*g^2*x:

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*u+g^4+2*g^3*u+4*a^2*c+2*a^2*g+4*a*b*g+4*a*b*u+4*a*c^2+6*a*c*g+2*a*c*u+4*a*g^2+
3*a*g*u+4*b^2*c+2*b^2*g+4*b*c^2+6*b*c*g+2*b*c*u+4*b*g^2+3*b*g*u+4*c^2*g+4*c*g^2
+2*c*g*u+2*g^3+2*g^2*u+2*a*c+a*g+2*b*c+b*g+2*c*g+g^2)*(2+2*b+2*a+g+2*c-u)*(1+a+
2*c+g+b-u):

Qgn:=x*(x-1)*(4*a^2*b*x+4*a^2*c*x+4*a^2*g*x+4*a*b^2*x+8*a*b*c*x+8*a*b*g*x+4
*a*c^2*x+10*a*c*g*x+5*a*g^2*x+4*b^2*c*x+4*b^2*g*x+4*b*c^2*x+10*b*c*g*x+5*b*g^2*
x+4*c^2*g*x+6*c*g^2*x+2*g^3*x-4*a*b^2-4*a*b*c-4*a*b*g+4*a*b*x-2*a*c*g+2*a*c*x-a
*g^2+3*a*g*x-4*b^2*c-4*b^2*g-4*b*c^2-8*b*c*g+2*b*c*x-4*b*g^2+3*b*g*x-2*c^2*g-3*
c*g^2+2*c*g*x-g^3+2*g^2*x-2*a*b-a*g-2*b*c-2*b*g-c*g-g^2)*dx^3+(-12*a^3*b*x^2-12
*a^3*c*x^2-12*a^3*g*x^2-24*a^2*b^2*x^2-52*a^2*b*c*x^2-40*a^2*b*g*x^2+12*a^2*b*u
*x^2-28*a^2*c^2*x^2-54*a^2*c*g*x^2+12*a^2*c*u*x^2-21*a^2*g^2*x^2+12*a^2*g*u*x^2
-12*a*b^3*x^2-52*a*b^2*c*x^2-40*a*b^2*g*x^2+12*a*b^2*u*x^2-56*a*b*c^2*x^2-100*a
*b*c*g*x^2+24*a*b*c*u*x^2-38*a*b*g^2*x^2+24*a*b*g*u*x^2-16*a*c^3*x^2-60*a*c^2*g
*x^2+12*a*c^2*u*x^2-54*a*c*g^2*x^2+30*a*c*g*u*x^2-13*a*g^3*x^2+15*a*g^2*u*x^2-\
12*b^3*c*x^2-12*b^3*g*x^2-28*b^2*c^2*x^2-54*b^2*c*g*x^2+12*b^2*c*u*x^2-21*b^2*g
^2*x^2+12*b^2*g*u*x^2-16*b*c^3*x^2-60*b*c^2*g*x^2+12*b*c^2*u*x^2-54*b*c*g^2*x^2
+30*b*c*g*u*x^2-13*b*g^3*x^2+15*b*g^2*u*x^2-16*c^3*g*x^2-32*c^2*g^2*x^2+12*c^2*
g*u*x^2-18*c*g^3*x^2+18*c*g^2*u*x^2-3*g^4*x^2+6*g^3*u*x^2+12*a^3*b*x+12*a^3*c*x
+12*a^3*g*x+24*a^2*b^2*x+48*a^2*b*c*x+40*a^2*b*g*x-8*a^2*b*u*x+4*a^2*b*x^2+24*a
^2*c^2*x+52*a^2*c*g*x-8*a^2*c*u*x+14*a^2*c*x^2+22*a^2*g^2*x-8*a^2*g*u*x+9*a^2*g
*x^2+12*a*b^3*x+56*a*b^2*c*x+40*a*b^2*g*x-16*a*b^2*u*x+4*a*b^2*x^2+56*a*b*c^2*x
+100*a*b*c*g*x-24*a*b*c*u*x+4*a*b*c*x^2+38*a*b*g^2*x-24*a*b*g*u*x+10*a*b*g*x^2+
12*a*b*u*x^2+12*a*c^3*x+56*a*c^2*g*x-8*a*c^2*u*x+12*a*c^2*x^2+54*a*c*g^2*x-24*a
*c*g*u*x+24*a*c*g*x^2+6*a*c*u*x^2+14*a*g^3*x-12*a*g^2*u*x+12*a*g^2*x^2+9*a*g*u*
x^2+12*b^3*c*x+12*b^3*g*x+32*b^2*c^2*x+56*b^2*c*g*x-16*b^2*c*u*x+14*b^2*c*x^2+
20*b^2*g^2*x-16*b^2*g*u*x+9*b^2*g*x^2+20*b*c^3*x+64*b*c^2*g*x-16*b*c^2*u*x+12*b
*c^2*x^2+54*b*c*g^2*x-36*b*c*g*u*x+24*b*c*g*x^2+6*b*c*u*x^2+12*b*g^3*x-18*b*g^2
*u*x+12*b*g^2*x^2+9*b*g*u*x^2+16*c^3*g*x+32*c^2*g^2*x-12*c^2*g*u*x+12*c^2*g*x^2
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*g^2*u*x^2-4*a^2*b^2-4*a^2*b*c-4*a^2*b*g+2*a^2*b*x-2*a^2*c*g-10*a^2*c*x-a^2*g^2
-4*a^2*g*x-8*a*b^2*c-4*a*b^2*g+4*a*b^2*u-10*a*b^2*x-8*a*b*c^2-12*a*b*c*g+4*a*b*
c*u-4*a*b*c*x-4*a*b*g^2+4*a*b*g*u-10*a*b*g*x-12*a*b*u*x+16*a*b*x^2-4*a*c^2*g-10
*a*c^2*x-4*a*c*g^2+2*a*c*g*u-18*a*c*g*x-4*a*c*u*x+10*a*c*x^2-a*g^3+a*g^2*u-8*a*
g^2*x-8*a*g*u*x+13*a*g*x^2-4*b^2*c^2-4*b^2*c*g+4*b^2*c*u-18*b^2*c*x+4*b^2*g*u-\
14*b^2*g*x-4*b*c^3-8*b*c^2*g+4*b*c^2*u-14*b*c^2*x-4*b*c*g^2+8*b*c*g*u-30*b*c*g*
x-8*b*c*u*x+10*b*c*x^2+4*b*g^2*u-16*b*g^2*x-10*b*g*u*x+13*b*g*x^2-2*c^3*g-3*c^2
*g^2+2*c^2*g*u-12*c^2*g*x-c*g^3+3*c*g^2*u-16*c*g^2*x-6*c*g*u*x+10*c*g*x^2+g^3*u
-6*g^3*x-6*g^2*u*x+9*g^2*x^2-2*a^2*b-a^2*g+4*a*b^2+2*a*b*g+2*a*b*u-16*a*b*x-8*a
*c*x+a*g*u-12*a*g*x+4*b^2*c+4*b^2*g+2*b*c^2+6*b*c*g+2*b*c*u-12*b*c*x+4*b*g^2+2*
b*g*u-14*b*g*x+c^2*g+2*c*g^2+c*g*u-10*c*g*x+g^3+g^2*u-9*g^2*x+2*a*b+a*g+2*b*c+2
*b*g+c*g+g^2)*dx^2+(8*a^4*b*x+8*a^4*c*x+8*a^4*g*x+24*a^3*b^2*x+56*a^3*b*c*x+32*
a^3*b*g*x-24*a^3*b*u*x+32*a^3*c^2*x+56*a^3*c*g*x-24*a^3*c*u*x+16*a^3*g^2*x-24*a
^3*g*u*x+24*a^2*b^3*x+96*a^2*b^2*c*x+48*a^2*b^2*g*x-48*a^2*b^2*u*x+112*a^2*b*c^
2*x+144*a^2*b*c*g*x-104*a^2*b*c*u*x+32*a^2*b*g^2*x-80*a^2*b*g*u*x+12*a^2*b*u^2*
x+40*a^2*c^3*x+112*a^2*c^2*g*x-56*a^2*c^2*u*x+72*a^2*c*g^2*x-108*a^2*c*g*u*x+12
*a^2*c*u^2*x+10*a^2*g^3*x-42*a^2*g^2*u*x+12*a^2*g*u^2*x+8*a*b^4*x+56*a*b^3*c*x+
32*a*b^3*g*x-24*a*b^3*u*x+112*a*b^2*c^2*x+144*a*b^2*c*g*x-104*a*b^2*c*u*x+32*a*
b^2*g^2*x-80*a*b^2*g*u*x+12*a*b^2*u^2*x+80*a*b*c^3*x+192*a*b*c^2*g*x-112*a*b*c^
2*u*x+112*a*b*c*g^2*x-200*a*b*c*g*u*x+24*a*b*c*u^2*x+12*a*b*g^3*x-76*a*b*g^2*u*
x+24*a*b*g*u^2*x+16*a*c^4*x+80*a*c^3*g*x-32*a*c^3*u*x+96*a*c^2*g^2*x-120*a*c^2*
g*u*x+12*a*c^2*u^2*x+34*a*c*g^3*x-108*a*c*g^2*u*x+30*a*c*g*u^2*x+2*a*g^4*x-26*a
*g^3*u*x+15*a*g^2*u^2*x+8*b^4*c*x+8*b^4*g*x+32*b^3*c^2*x+56*b^3*c*g*x-24*b^3*c*
u*x+16*b^3*g^2*x-24*b^3*g*u*x+40*b^2*c^3*x+112*b^2*c^2*g*x-56*b^2*c^2*u*x+72*b^
2*c*g^2*x-108*b^2*c*g*u*x+12*b^2*c*u^2*x+10*b^2*g^3*x-42*b^2*g^2*u*x+12*b^2*g*u
^2*x+16*b*c^4*x+80*b*c^3*g*x-32*b*c^3*u*x+96*b*c^2*g^2*x-120*b*c^2*g*u*x+12*b*c
^2*u^2*x+34*b*c*g^3*x-108*b*c*g^2*u*x+30*b*c*g*u^2*x+2*b*g^4*x-26*b*g^3*u*x+15*
b*g^2*u^2*x+16*c^4*g*x+40*c^3*g^2*x-32*c^3*g*u*x+28*c^2*g^3*x-64*c^2*g^2*u*x+12
*c^2*g*u^2*x+6*c*g^4*x-36*c*g^3*u*x+18*c*g^2*u^2*x-6*g^4*u*x+6*g^3*u^2*x-8*a^4*
b-8*a^4*c-8*a^4*g-16*a^3*b^2-40*a^3*b*c-28*a^3*b*g+12*a^3*b*u-12*a^3*b*x-24*a^3
*c^2-44*a^3*c*g+12*a^3*c*u-28*a^3*c*x-16*a^3*g^2+12*a^3*g*u-20*a^3*g*x-8*a^2*b^
3-48*a^2*b^2*c-24*a^2*b^2*g+24*a^2*b^2*u-24*a^2*b^2*x-64*a^2*b*c^2-88*a^2*b*c*g
+48*a^2*b*c*u-60*a^2*b*c*x-24*a^2*b*g^2+40*a^2*b*g*u-52*a^2*b*g*x-4*a^2*b*u^2-4
*a^2*b*u*x-24*a^2*c^3-72*a^2*c^2*g+24*a^2*c^2*u-60*a^2*c^2*x-52*a^2*c*g^2+52*a^
2*c*g*u-92*a^2*c*g*x-4*a^2*c*u^2+16*a^2*c*u*x-10*a^2*g^3+22*a^2*g^2*u-36*a^2*g^
2*x-4*a^2*g*u^2+6*a^2*g*u*x-16*a*b^3*c-4*a*b^3*g+12*a*b^3*u-12*a*b^3*x-48*a*b^2
*c^2-56*a*b^2*c*g+56*a*b^2*c*u-60*a*b^2*c*x-8*a*b^2*g^2+40*a*b^2*g*u-52*a*b^2*g
*x-8*a*b^2*u^2-4*a*b^2*u*x-40*a*b*c^3-96*a*b*c^2*g+56*a*b*c^2*u-72*a*b*c^2*x-56
*a*b*c*g^2+100*a*b*c*g*u-136*a*b*c*g*x-12*a*b*c*u^2-16*a*b*c*u*x-6*a*b*g^3+38*a
*b*g^2*u-60*a*b*g^2*x-12*a*b*g*u^2-4*a*b*g*u*x+12*a*b*u^2*x-8*a*c^4-44*a*c^3*g+
12*a*c^3*u-32*a*c^3*x-56*a*c^2*g^2+56*a*c^2*g*u-104*a*c^2*g*x-4*a*c^2*u^2+12*a*
c^2*u*x-22*a*c*g^3+54*a*c*g^2*u-90*a*c*g^2*x-12*a*c*g*u^2+18*a*c*g*u*x+6*a*c*u^
2*x-2*a*g^4+14*a*g^3*u-24*a*g^3*x-6*a*g^2*u^2+9*a*g^2*u*x+9*a*g*u^2*x-8*b^3*c^2
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16*b^2*c*u*x+20*b^2*g^2*u-36*b^2*g^2*x-8*b^2*g*u^2+6*b^2*g*u*x-8*b*c^4-36*b*c^3
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*b*c^2*u*x-12*b*c*g^3+54*b*c*g^2*u-90*b*c*g^2*x-18*b*c*g*u^2+18*b*c*g*u*x+6*b*c
*u^2*x+12*b*g^3*u-24*b*g^3*x-9*b*g^2*u^2+9*b*g^2*u*x+9*b*g*u^2*x-8*c^4*g-20*c^3
*g^2+16*c^3*g*u-32*c^3*g*x-14*c^2*g^3+32*c^2*g^2*u-56*c^2*g^2*x-6*c^2*g*u^2+12*
c^2*g*u*x-3*c*g^4+18*c*g^3*u-32*c*g^3*x-9*c*g^2*u^2+14*c*g^2*u*x+6*c*g*u^2*x+3*
g^4*u-6*g^4*x-3*g^3*u^2+6*g^3*u*x+6*g^2*u^2*x+4*a^3*b+12*a^3*c+8*a^3*g+12*a^2*b
^2+20*a^2*b*c+22*a^2*b*g+6*a^2*b*u-12*a^2*b*x+24*a^2*c^2+38*a^2*c*g-6*a^2*c*u+
16*a^2*g^2-6*a^2*g*x+8*a*b^3+40*a*b^2*c+30*a*b^2*g-2*a*b^2*u-12*a*b^2*x+36*a*b*
c^2+68*a*b*c*g+8*a*b*c*u-40*a*b*c*x+30*a*b*g^2+2*a*b*g*u-24*a*b*g*x-6*a*b*u^2+
20*a*b*u*x+12*a*c^3+46*a*c^2*g-6*a*c^2*u-4*a*c^2*x+42*a*c*g^2-6*a*c*g*u-16*a*c*
g*x-2*a*c*u^2+14*a*c*u*x+12*a*g^3-2*a*g^2*u-6*a*g^2*x-4*a*g*u^2+17*a*g*u*x+16*b
^3*c+12*b^3*g+36*b^2*c^2+54*b^2*c*g-10*b^2*c*u+20*b^2*g^2-6*b^2*g*u-6*b^2*g*x+
20*b*c^3+58*b*c^2*g-6*b*c^2*u-4*b*c^2*x+48*b*c*g^2-12*b*c*g*u-16*b*c*g*x-4*b*c*
u^2+14*b*c*u*x+12*b*g^3-7*b*g^2*u-6*b*g^2*x-5*b*g*u^2+17*b*g*u*x+16*c^3*g+28*c^
2*g^2-6*c^2*g*u-4*c^2*g*x+16*c*g^3-7*c*g^2*u-6*c*g^2*x-3*c*g*u^2+14*c*g*u*x+3*g
^4-3*g^3*u-3*g^2*u^2+12*g^2*u*x+8*a^2*b+4*a^2*g+4*a*b^2+20*a*b*c+12*a*b*g-10*a*
b*u+8*a*b*x+8*a*c*g-6*a*c*u+8*a*c*x+4*a*g^2-8*a*g*u+8*a*g*x+2*b^2*g+4*b*c^2+8*b
*c*g-8*b*c*u+8*b*c*x+2*b*g^2-9*b*g*u+8*b*g*x+2*c^2*g+3*c*g^2-7*c*g*u+8*c*g*x-6*
g^2*u+6*g^2*x-4*a*b-4*a*c-4*a*g-4*b*c-4*b*g-4*c*g-3*g^2)*dx+(2*a+2*b+2*c+g-u)*(
-u+g-1+2*c+b+a)*(4*a^2*b*g+4*a^2*b*u+4*a^2*c*u+2*a^2*g^2+4*a^2*g*u+4*a*b^2*g+4*
a*b^2*u+8*a*b*c*g+8*a*b*c*u+8*a*b*g^2+8*a*b*g*u+4*a*c^2*u+4*a*c*g^2+10*a*c*g*u+
3*a*g^3+5*a*g^2*u+4*b^2*c*u+2*b^2*g^2+4*b^2*g*u+4*b*c^2*u+4*b*c*g^2+10*b*c*g*u+
3*b*g^3+5*b*g^2*u+4*c^2*g*u+2*c*g^3+6*c*g^2*u+g^4+2*g^3*u+4*a^2*c+2*a^2*g+4*a*b
*g+4*a*b*u+4*a*c^2+6*a*c*g+2*a*c*u+4*a*g^2+3*a*g*u+4*b^2*c+2*b^2*g+4*b*c^2+6*b*
c*g+2*b*c*u+4*b*g^2+3*b*g*u+4*c^2*g+4*c*g^2+2*c*g*u+2*g^3+2*g^2*u+2*a*c+a*g+2*b
*c+b*g+2*c*g+g^2):