### H6PQ.txt 
# refer to the paper
# "Fuchsian differential equations of order 3, ..., 6 with three singular
# points and an accessary parameter by Y. Haraoka, H. Ochiai, T. Sasaki, and M. Yoshida
# for the notation here.
# $P_{-00}$ in the paper is here denoted as $Pn00$,
# $P_{+00}$ as $Pp00$, $P_{--+}$ as $Pnnp$, and so on
# the operators saved in this txt-file are
# Pn00, Qn00; P0n0, Q0n0; Pp00, Qp00; P0p0, Q0p0;
# Pnnp, Qnnp; Pppn, Qppn; 
# 
# Note that, in the paper, the letter s is used instead of 
# r=(e1+e2+e3+e4+e5+e6+e7+e8+e9-6)/3, where s=-r.
# The letter u denotes the accessary parameter $T10$.

### Summary of Svalues is as follows:
 Svn00 #=Pp00*Pn00
       :=r*(r-1)*(r-2)*(-r+e6)*(-r+e5)*(-r+e4)):
 Svp00 #=Pn00*Pp00
       :=r*(r+1)*(r-1)*(-r-1+e4)*(-r-1+e5)*(-r-1+e6)):
 Sv0n0 # =P0p0*P0n0
       :=-r*(r-1)*(r-2)*(-r+e1)*(-r+e2)*(-r+e3)):
 Sv0p0 # =P0n0*P0p0
       :=-r*(r+1)*(r-1)*(-r-1+e1)*(-r-1+e2)*(-r-1+e3)):
 Svnnp # =Pppn*Pnnp
       :=r*(r-1)*(r-2)*e7*e8*e9:
 Svppn # =Pnnp*Pppn
       :=r*(r-1)*(r+1)*(e9-1)*(e8-1)*(e7-1):

### inverse shifts of $sh_1$, $sh_2$, and $sh_3$ listed in the paper
# are given as follows in terms of (u,e1,e2,e3,e4,e5,e6,e7,e8,e9,r) 
# $sh_1^{-1}$=p00: (u,e) --> (u+u1,e1=e1+1,e2=e2+1,e3=e3+1,r=r+1)
# $sh_2^{-1}$=0p0: (u,e) --> (u,e5=e5+1,e6=e6+1,e4=e4+1,r=r+1)
# $sh_3^{-1}$=ppn: (u,e) --> (u+usp, eplus)
  u1:=1+e7+e8+e9+e7*e8+e7*e9+e8*e9:
  usp:=us-18+2*e1+2*e2+2*e3-4*e7-4*e8-4*e9:
  us:=20-2*e1-2*e2-2*e3+7*e7+7*e8+7*e9+1/3*e1*e2+1/3*e1*e3+1/3*e2*e3-1/3*e4*e5-1/3*e4*e6-1/3*e5*e6+4/3*e7*e8+4/3*e7*e9+4/3*e8*e9-1/3*e1^2-1/3*e2^2-1/3*e3^2-2/3*e1*e7-2/3*e1*e8-2/3*e1*e9-2/3*e2*e7-2/3*e2*e8-2/3*e2*e9-2/3*e3*e7-2/3*e3*e8-2/3*e3*e9+1/3*e4^2+1/3*e5^2+1/3*e6^2-1/3*e7^2-1/3*e8^2-1/3*e9^2:
  eplus:={e1=e1+1,e2=e2+1,e3=e3+1,e4=e4+1,e5=e5+1,e6=e6+1,
          e7=e7-1,e8=e8-1,e9=e9-1,r=r+1}:

### shift operators Pn00, Qn00, P0n0, Qn0n, Pnnp, Qnnp are as follows:
Pn00:=(x-1)*dx-r:
Qn00:=(x-1)*dx+3-r:
P0n0:=x*dx-r:
Q0n0:=x*dx+3-r:
Pnnp:=dx:
Qnnp:=dx:

### inverse shift operators of the above six operators are
# Pp00, Qp00, P0p0, Q0p0, Pppn, Qppn, respectively, and 
# the coefficients of these operators relative u are
# coeff(Pp00,u):=x*(x-1)^3*dx^2-(x-1)^3*(r-1)*dx:
# coeff(Qp00,u):=x*(x-1)^3*dx^2-(x-1)^2*(r*x-7*x-r+1)*dx-3*(x-1)*(-3*x+r*x-r+1):
# coeff(P0p0,u):=x^3*(x-1)*dx^2-(r-1)*x^3*dx:
# coeff(Q0p0,u):=x^3*(x-1)*dx^2-x^2*(-7*x+6+r*x)*dx-3*x*(-3*x+2+r*x):
# coeff(Pppn,u):=x*(x-1)*dx^2-(r-1)*(2*x-1)*dx+r*(r-1):
# coeff(Qppn,u):=x*(x-1)*dx^2-(r-1)*(2*x-1)*dx+r*(r-1):

### list of shift operators are given as follows:
Pp00:= x^3*(x-1)^5*dx^5
 +x^2*(x-1)^4*(11*x-2*r*x+e8*x+e7*x+x*e9+e2-9+e3+e1)*dx^4
 +1/3*x*(x-1)^3*(57+x*e4*e6+2*e1*x*e8-6*r*e7*x^2-6*r*e8*x^2-e7*x*e9+x*e4*e5+3*e7*e8*x^2+3*r*x*e8-e2*x*e3+3*x^2*e8*e9-e8*x*e9+2*e3*x*e8+2*e2*x*e9-3*r*e3*x+2*e1*x*e7+2*e1*x*e9+3*e7*x^2*e9+2*e2*x*e7+x*e5*e6+2*e3*x*e9-3*r*x*e1-147*x+2*e3*x*e7+3*r*e7*x+3*r*x*e9+2*e2*x*e8+3*e1*e2+3*e1*e3+3*e2*e3-e1*x*e2-15*e1-15*e2-15*e3-e1*x*e3-3*r*e2*x-e7*e8*x+93*x^2-6*r*x^2*e9+21*e7*x^2+36*r*x-21*x*e9+15*e1*x-39*r*x^2+3*r^2*x^2+x*e3^2+21*x^2*e8-x*e5^2-21*e8*x+15*e3*x+15*e2*x+x*e9^2+21*x^2*e9+x*e8^2+x*e2^2-21*e7*x+x*e7^2+x*e1^2-x*e4^2-x*e6^2)*dx^3
 +1/27*(x-1)^2*(-216+3*x*e4^2*e6-9*r*x*e5^2+36*e3*x^2*e7-27*x*e4*e6-3*x*e4^2*e9-189*r*e8*x^3-54*e1*x*e8+9*r*x*e7^2+18*x^2*e4*e5+9*r*x*e8^2+3*e7*x*e9^2+18*x^2*e4*e6+297*r*e7*x^2+297*r*e8*x^2+18*x^2*e5*e6-3*x*e6^2*e7+9*r*x^2*e6^2-54*r*e1*x^2+108*e7*x^3*e9-27*e7*x*e9+36*e2*x^2*e9+3*x*e1^2*e7-27*x*e4*e5-9*r*x*e6^2-54*r*e2*x^2-99*e7*e8*x^2-189*r*e7*x^3+3*e1*x*e3^2+3*x*e1^2*e3+27*r^2*x^3*e9-108*r*x*e8+54*e2*x*e3-99*x^2*e8*e9+36*e3*x^2*e8-27*e8*x*e9+36*e1*x^2*e7+108*e7*e8*x^3-9*r*x^2*e2^2-54*e3*x*e8-54*e2*x*e9-9*r*x^2*e8^2+3*e1*x*e7^2+54*r*e3*x+36*e3*x^2*e9+3*e1*x*e8^2+36*e1*x^2*e8-54*e1*x*e7-54*e1*x*e9+27*r^2*e8*x^3-99*e7*x^2*e9+9*r*x*e2^2+3*e1*x*e2^2-54*e2*x*e7-27*r^2*e7*x^2-18*e2*x^2*e3+36*e1*x^2*e9-27*x*e5*e6-3*e2*x*e5^2-54*e3*x*e9+3*e1*x*e9^2-3*e3*x*e5^2-27*r^2*e8*x^2+54*r*x*e1+864*x-27*r^2*x^2*e9+6*e1*x*e7*e8-9*r*x^2*e9^2-3*e1*x*e5^2-54*e3*x*e7-108*r*e7*x+36*e2*x^2*e8+3*x*e4*e5^2-108*r*x*e9+108*e8*x^3*e9+36*e2*x^2*e7-54*e2*x*e8+3*x*e5*e6^2+9*r*x*e3^2-54*e1*e2-54*e1*e3-54*e2*e3+3*x*e1^2*e8+54*e1*x*e2-18*e1*x^2*e2+27*e1*e2*e3+108*e1+108*e2+108*e3+3*x*e1^2*e2+3*e2*x*e3^2+3*e3*x*e8^2-9*r*x*e4^2+54*e1*x*e3-3*e2*x*e4^2+9*r*x*e9^2+54*r*e2*x+27*r^2*e7*x^3-27*e7*e8*x-189*r*x^3*e9-9*r*x^2*e7^2+594*x^3-1269*x^2+9*r*x*e1^2+297*r*x^2*e9-18*e1*x^2*e3-54*r*e3*x^2-9*r*x^2*e1^2-459*r*x^3-9*r*e7*e8*x+9*r*x*e5*e6-9*r*x*e1*e3+6*e2*x*e3*e7-9*r*x*e8*e9+63*r*e7*e8*x^2+63*r*e7*x^2*e9+63*r*e8*x^2*e9-54*r*e7*e8*x^3-54*r*e7*x^3*e9-54*r*e8*x^3*e9+27*e7*e8*x^3*e9-9*r*e7*x*e9-9*r*x*e1*e2+6*e1*x*e2*e8-9*r*x^2*e3^2+9*r*x^2*e4^2+9*r*x^2*e5^2-459*e7*x^2-351*r*x-18*x^2*e4^2+x*e7^3+216*x*e9-189*e1*x-2*x*e4^3+18*x^2*e1^2+810*r*x^2-81*r^2*x^2+270*e7*x^3-27*x*e3^2-2*x*e6^3+270*e8*x^3-459*x^2*e8+81*r^2*x^3+27*x*e5^2-27*x*u+216*e8*x+x*e1^3+x*e2^3-189*e3*x+18*x^2*e8^2+18*x^2*e7^2-189*e2*x-18*x^2*e5^2+x*e3^3-27*x*e9^2+108*e1*x^2+108*e2*x^2-459*x^2*e9-18*x^2*e6^2+18*x^2*e3^2-27*x*e8^2-27*x*e2^2-2*x*e5^3+108*e3*x^2+216*e7*x-27*x*e7^2+18*x^2*e2^2-27*x*e1^2+18*x^2*e9^2+x*e9^3+270*x^3*e9+x*e8^3+27*x*e4^2+3*x*e2^2*e8+27*x*e6^2+27*x^2*u-3*e1*x*e6^2+3*x*e2^2*e7+9*r*x*e4*e5-9*r*e2*x*e3+9*r*x*e4*e6+18*r*x*e1*e7+18*r*x*e1*e8+18*r*x*e1*e9+18*r*e2*x*e7+18*r*e2*x*e8+18*r*e2*x*e9+18*r*e3*x*e7+18*r*e3*x*e8+18*r*e3*x*e9+9*r*e1*x^2*e3+9*r*e1*x^2*e2-9*r*x^2*e4*e5+9*r*e2*x^2*e3-9*r*x^2*e4*e6-9*r*x^2*e5*e6-18*r*e1*x^2*e7-18*r*e1*x^2*e8-18*r*e1*x^2*e9-18*r*e2*x^2*e7-18*r*e2*x^2*e8-18*r*e2*x^2*e9-18*r*e3*x^2*e7-18*r*e3*x^2*e8-18*r*e3*x^2*e9-21*e7*e8*x*e9+3*x*e7^2*e8-3*e3*x*e4^2+3*x*e7^2*e9-3*e2*x*e6^2-3*e1*x*e4^2-3*e3*x*e6^2+3*e2*x*e7^2+3*e2*x*e8^2+3*e2*x*e9^2+3*e3*x*e7^2+3*e3*x*e9^2-3*x*e4^2*e7-3*x*e4^2*e8-3*x*e5^2*e7-3*x*e5^2*e8-3*x*e5^2*e9-3*x*e6^2*e8-3*x*e6^2*e9+3*x*e4^2*e5+3*x*e4*e6^2+3*x*e5^2*e6+3*x*e1^2*e9+3*x*e2^2*e9+3*x*e3^2*e7+3*x*e3^2*e8+3*x*e3^2*e9+3*x*e2^2*e3+3*e7*x*e8^2+3*x*e8^2*e9+3*e8*x*e9^2+6*e2*x*e8*e9+3*e2*x*e5*e6+3*x*e4*e5*e9+3*e3*x*e4*e6+3*e1*x*e5*e6+6*e3*x*e8*e9+6*e2*x*e3*e8+3*x*e4*e6*e9+3*x*e5*e6*e7+3*x*e5*e6*e8+3*x*e5*e6*e9+6*e1*x*e2*e9+6*e1*x*e3*e7+6*e1*x*e3*e8+6*e1*x*e3*e9+6*e2*x*e3*e9+6*e1*x*e2*e7+3*x*e4*e5*e8+3*x*e4*e6*e7+6*e1*x*e8*e9+6*e3*x*e7*e8+3*x*e4*e5*e7+3*e2*x*e4*e5+6*e3*x*e7*e9+3*x*e4*e6*e8-21*e1*x*e2*e3-12*x*e4*e5*e6+6*e1*x*e7*e9+3*e1*x*e4*e5+3*e1*x*e4*e6+3*e2*x*e4*e6+3*e3*x*e4*e5+3*e3*x*e5*e6+6*e2*x*e7*e8+6*e2*x*e7*e9)*dx^2
 -1/27*(-1+r)*(x-1)*(54-27*r*e8*x^3+54*r*e7*x^2+54*r*e8*x^2-6*e2*e3*e7-6*e2*e8*e9+54*e7*x^3*e9-6*e1*e7*e8-3*e2*e5*e6-3*e4*e5*e9-81*e7*e8*x^2-27*r*e7*x^3-3*e3*e4*e6-27*r*x*e8-3*e1*e5*e6-81*x^2*e8*e9+54*e7*e8*x^3-6*e3*e8*e9-6*e2*e3*e8-6*e2*e3*e9-6*e1*e2*e7-3*e4*e5*e8-3*e4*e6*e7-81*e7*x^2*e9-6*e1*e8*e9-6*e3*e7*e8+27*u-3*e4*e5*e7-27*r*e7*x-27*r*x*e9+54*e8*x^3*e9+18*e1*e2+18*e1*e3+9*e4*e5+18*e2*e3+9*e4*e6+45*e7*e8+9*e5*e6+45*e7*e9+45*e8*e9-3*e2*e4*e5-6*e3*e7*e9-3*e4*e6*e8-6*e1*e2*e3+12*e4*e5*e6+21*e7*e8*e9-27*e1-27*e2-27*e3-6*e1*e7*e9+9*e1^2+9*e2^2+9*e3^2+18*e1*e7+18*e1*e8+18*e1*e9+18*e2*e7+18*e2*e8+18*e2*e9+18*e3*e7+18*e3*e8+18*e3*e9-9*e4^2-9*e5^2-9*e6^2+9*e8^2+9*e9^2+9*e7^2-3*e1*e4*e5-3*e1*e4*e6-3*e2*e4*e6-3*e3*e4*e5-3*e3*e5*e6-6*e2*e7*e8-6*e2*e7*e9-3*e4*e6*e9-3*e5*e6*e7-3*e5*e6*e8-3*e5*e6*e9-e2^3-e3^3+2*e5^3+2*e6^3-e7^3-e8^3-e9^3+3*e1*e4^2+3*e1*e5^2+3*e1*e6^2+3*e2*e4^2+3*e2*e5^2+3*e2*e6^2+3*e3*e4^2+3*e3*e5^2+3*e3*e6^2-3*e1*e8^2-3*e1*e9^2-3*e2*e7^2-3*e2*e8^2-3*e2*e9^2-3*e3*e7^2-3*e3*e8^2-3*e3*e9^2+3*e4^2*e7+3*e4^2*e8+3*e4^2*e9+3*e5^2*e7+3*e5^2*e8+3*e5^2*e9+3*e6^2*e7+3*e6^2*e8+3*e6^2*e9-3*e1*e7^2-3*e4^2*e5-3*e4*e5^2-3*e4^2*e6-3*e4*e6^2-3*e5^2*e6-3*e5*e6^2-3*e1^2*e7-3*e1^2*e8-3*e1^2*e9-3*e2^2*e7-3*e2^2*e8-3*e2^2*e9-3*e3^2*e7-3*e3^2*e8-3*e3^2*e9-3*e1^2*e3-3*e1*e2^2-3*e1*e3^2-3*e2^2*e3-3*e2*e3^2-6*e1*e2*e8-6*e1*e2*e9-6*e1*e3*e7-6*e1*e3*e8-6*e1*e3*e9-e1^3-3*e1^2*e2+2*e4^3-3*e7^2*e9-3*e7*e8^2-3*e7*e9^2-3*e8^2*e9-3*e8*e9^2-3*e7^2*e8-27*r*x^3*e9+54*x^3-81*x^2+54*r*x^2*e9-27*r*x^3-27*r*e7*e8*x-27*r*x*e8*e9+54*r*e7*e8*x^2+54*r*e7*x^2*e9+54*r*e8*x^2*e9-81*e7*e8*x^2*e9-27*r*e7*e8*x^3-27*r*e7*x^3*e9-27*r*e8*x^3*e9+54*e7*e8*x^3*e9-27*r*e7*x*e9-81*e7*x^2-27*r*x+54*r*x^2+54*e7*x^3+54*e8*x^3-81*x^2*e8-54*x*u-81*x^2*e9+54*x^3*e9+27*x^2*u)*dx
+ 1/27*r*(-27+6*e2*e3*e7+6*e2*e8*e9+6*e1*e7*e8+3*e2*e5*e6+3*e4*e5*e9+3*e3*e4*e6+3*e1*e5*e6+6*e3*e8*e9+6*e2*e3*e8+6*e2*e3*e9+6*e1*e2*e7+3*e4*e5*e8+3*e4*e6*e7+6*e1*e8*e9+6*e3*e7*e8+3*e4*e5*e7-18*e1*e2-18*e1*e3-9*e4*e5-18*e2*e3-9*e4*e6-18*e7*e8-9*e5*e6-18*e7*e9-18*e8*e9+3*e2*e4*e5+6*e3*e7*e9+3*e4*e6*e8+6*e1*e2*e3-12*e4*e5*e6-21*e7*e8*e9+27*e1+27*e2+27*e3+27*e7+27*e8+27*e9+6*e1*e7*e9-9*e1^2-9*e2^2-9*e3^2-18*e1*e7-18*e1*e8-18*e1*e9-18*e2*e7-18*e2*e8-18*e2*e9-18*e3*e7-18*e3*e8-18*e3*e9+9*e4^2+9*e5^2+9*e6^2-9*e8^2-9*e9^2-9*e7^2+3*e1*e4*e5+3*e1*e4*e6+3*e2*e4*e6+3*e3*e4*e5+3*e3*e5*e6+6*e2*e7*e8+6*e2*e7*e9+3*e4*e6*e9+3*e5*e6*e7+3*e5*e6*e8+3*e5*e6*e9+e2^3+e3^3-2*e5^3-2*e6^3+e7^3+e8^3+e9^3-3*e1*e4^2-3*e1*e5^2-3*e1*e6^2-3*e2*e4^2-3*e2*e5^2-3*e2*e6^2-3*e3*e4^2-3*e3*e5^2-3*e3*e6^2+3*e1*e8^2+3*e1*e9^2+3*e2*e7^2+3*e2*e8^2+3*e2*e9^2+3*e3*e7^2+3*e3*e8^2+3*e3*e9^2-3*e4^2*e7-3*e4^2*e8-3*e4^2*e9-3*e5^2*e7-3*e5^2*e8-3*e5^2*e9-3*e6^2*e7-3*e6^2*e8-3*e6^2*e9+3*e1*e7^2+3*e4^2*e5+3*e4*e5^2+3*e4^2*e6+3*e4*e6^2+3*e5^2*e6+3*e5*e6^2+3*e1^2*e7+3*e1^2*e8+3*e1^2*e9+3*e2^2*e7+3*e2^2*e8+3*e2^2*e9+3*e3^2*e7+3*e3^2*e8+3*e3^2*e9+3*e1^2*e3+3*e1*e2^2+3*e1*e3^2+3*e2^2*e3+3*e2*e3^2+6*e1*e2*e8+6*e1*e2*e9+6*e1*e3*e7+6*e1*e3*e8+6*e1*e3*e9+e1^3+3*e1^2*e2-2*e4^3+3*e7^2*e9+3*e7*e8^2+3*e7*e9^2+3*e8^2*e9+3*e8*e9^2+3*e7^2*e8-81*e7*e8*x^2*e9+27*e7*e8*x^3*e9+81*e7*e8*x*e9)*(-1+r):

Qp00:=x^3*(x-1)^5*dx^5
 +x^2*(x-1)^4*(26*x+e8*x+e7*x+x*e9-2*r*x+e2-9+e3+e1)*dx^4
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*r*e1*e3^2+2/9*r*e2^2*e3+2/9*r*e7*e8^2+2/9*r*e7*e9^2+2/9*r*e8^2*e9+2/9*r*e8*e9^2+2/9*r*e7^2*e8-2/3*r*e1^2-2/3*r*e2^2-2/3*r*e3^2+2/3*r*e4^2+2/3*r*e5^2+2/3*r*e6^2-2/3*r*e8^2-2/3*r*e9^2-2/3*r*e7^2+2/27*r*e2^3+2/27*r*e3^3-4/27*r*e5^3-4/27*r*e6^3+2/27*r*e7^3+2/27*r*e8^3+2/27*r*e9^3+2/27*r*e1^3-4/27*r*e4^3-2/3*e2*x*e4^2+2*r*x*e9^2+12*r*e2*x+9*r^2*e7*x^3-r^2+r^2*e7+r^2*e8+r^2*e2+r^2*e1+r^2*e3-6*e7*e8*x-63*r*x^3*e9-2*r*x^2*e7^2-2/3*r^2*e7*e9+324*x^3-585*x^2+2*r*x*e1^2+87*r*x^2*e9-6*e1*x^2*e3-18*r*e3*x^2-2*r*x^2*e1^2-189*r*x^3-5*r*e7*e8*x+2*r*x*e5*e6-2*r*x*e1*e3+4/3*e2*x*e3*e7-5*r*x*e8*e9+29*r*e7*e8*x^2+29*r*e7*x^2*e9+29*r*e8*x^2*e9-9*e7*e8*x^2*e9-6*r^2*e7*e8*x^2-6*r^2*e7*x^2*e9-6*r^2*e8*x^2*e9-21*r*e7*e8*x^3-21*r*e7*x^3*e9-21*r*e8*x^3*e9+12*e7*e8*x^3*e9+3*r^2*e8*x*e9-5*r*e7*x*e9+3*r^2*e7*e8*x+3*r^2*e7*x*e9-2*r*x*e1*e2+4/3*e1*x*e2*e8-2*r*x^2*e3^2+2*r*x^2*e4^2+2*r*x^2*e5^2-153*e7*x^2-81*r*x-6*x^2*e4^2+2/9*x*e7^3+48*x*e9-72*e1*x-4/9*x*e4^3+6*x^2*e1^2+3*r^2*x+267*r*x^2-24*r^2*x^2+108*e7*x^3-6*x*e3^2-4/9*x*e6^3+108*e8*x^3-153*x^2*e8+27*r^2*x^3+6*x*e5^2-12*x*u+48*e8*x+2/9*x*e1^3+2/9*x*e2^3-72*e3*x+6*x^2*e8^2+6*x^2*e7^2-72*e2*x-6*x^2*e5^2+2/9*x*e3^3-6*x*e9^2+54*e1*x^2+54*e2*x^2-153*x^2*e9-6*x^2*e6^2+6*x^2*e3^2-6*x*e8^2-6*x*e2^2-4/9*x*e5^3+54*e3*x^2+48*e7*x-6*x*e7^2+6*x^2*e2^2-6*x*e1^2+6*x^2*e9^2+2/9*x*e9^3+108*x^3*e9+2/9*x*e8^3+6*x*e4^2+2/3*x*e2^2*e8+6*x*e6^2+9*x^2*u+12*r*e7*e8*x^2*e9-2/3*e1*x*e6^2+2/3*x*e2^2*e7+2*r*x*e4*e5-2*r*e2*x*e3+2*r*x*e4*e6+4*r*x*e1*e7+4*r*x*e1*e8+4*r*x*e1*e9+4*r*e2*x*e7+4*r*e2*x*e8+4*r*e2*x*e9+4*r*e3*x*e7+4*r*e3*x*e8+4*r*e3*x*e9+2*r*e1*x^2*e3+2*r*e1*x^2*e2-2*r*x^2*e4*e5+2*r*e2*x^2*e3-2*r*x^2*e4*e6-2*r*x^2*e5*e6-4*r*e1*x^2*e7-4*r*e1*x^2*e8-4*r*e1*x^2*e9-4*r*e2*x^2*e7-4*r*e2*x^2*e8-4*r*e2*x^2*e9-4*r*e3*x^2*e7-4*r*e3*x^2*e8-4*r*e3*x^2*e9-14/3*e7*e8*x*e9+2/3*x*e7^2*e8-2/3*e3*x*e4^2+2/3*x*e7^2*e9-2/3*e2*x*e6^2-2/3*e1*x*e4^2-2/3*e3*x*e6^2+2/3*e2*x*e7^2+2/3*e2*x*e8^2+2/3*e2*x*e9^2+2/3*e3*x*e7^2+2/3*e3*x*e9^2-2/3*x*e4^2*e7-2/3*x*e4^2*e8-2/3*x*e5^2*e7-2/3*x*e5^2*e8-2/3*x*e5^2*e9-2/3*x*e6^2*e8-2/3*x*e6^2*e9+2/3*x*e4^2*e5+2/3*x*e4*e6^2+2/3*x*e5^2*e6+2/3*x*e1^2*e9+2/3*x*e2^2*e9+2/3*x*e3^2*e7+2/3*x*e3^2*e8+2/3*x*e3^2*e9+2/3*x*e2^2*e3+2/3*e7*x*e8^2+2/3*x*e8^2*e9+2/3*e8*x*e9^2+4/3*e2*x*e8*e9+2/3*e2*x*e5*e6+2/3*x*e4*e5*e9+2/3*e3*x*e4*e6+2/3*e1*x*e5*e6+4/3*e3*x*e8*e9+4/3*e2*x*e3*e8+2/3*x*e4*e6*e9+2/3*x*e5*e6*e7+2/3*x*e5*e6*e8+2/3*x*e5*e6*e9+4/3*e1*x*e2*e9+4/3*e1*x*e3*e7+4/3*e1*x*e3*e8+4/3*e1*x*e3*e9+4/3*e2*x*e3*e9+4/3*e1*x*e2*e7+2/3*x*e4*e5*e8+2/3*x*e4*e6*e7+4/3*e1*x*e8*e9+4/3*e3*x*e7*e8+2/3*x*e4*e5*e7+2/3*e2*x*e4*e5+4/3*e3*x*e7*e9+2/3*x*e4*e6*e8-14/3*e1*x*e2*e3-8/3*x*e4*e5*e6+4/3*e1*x*e7*e9+2/3*e1*x*e4*e5+2/3*e1*x*e4*e6+2/3*e2*x*e4*e6+2/3*e3*x*e4*e5+2/3*e3*x*e5*e6+4/3*e2*x*e7*e8+4/3*e2*x*e7*e9+r^2*e9-3*x^2*r^2*e7*e8*e9-3*r*x*e7*e8*e9+3*r^2*x*e7*e8*e9-1/3*r^2*e9^2-2/3*r^2*e1*e2+1/3*r^2*e4^2-1/3*r^2*e8^2-1/3*r^2*e1^2-1/3*r^2*e2^2+1/3*r^2*e6^2-1/3*r^2*e7^2-1/3*r^2*e3^2+1/3*r^2*e5^2-2/3*r^2*e3*e7-2/3*r^2*e1*e3-1/3*r^2*e4*e5-2/3*r^2*e2*e3-1/3*r^2*e4*e6-1/3*r^2*e5*e6-2/3*r^2*e1*e7-2/3*r^2*e1*e8-2/3*r^2*e1*e9-2/3*r^2*e2*e7-2/3*r^2*e2*e8-2/3*r^2*e2*e9-2/3*r^2*e3*e8-2/3*r^2*e3*e9-3*x^2*r*u+2/9*r^2*e2*e3*e7+2/9*r^2*e2*e8*e9+2/9*r^2*e1*e7*e8+1/9*r^2*e2*e5*e6+1/9*r^2*e4*e5*e9+1/9*r^2*e3*e4*e6+1/9*r^2*e1*e5*e6+2/9*r^2*e3*e8*e9+2/9*r^2*e2*e3*e8+2/9*r^2*e2*e3*e9+2/9*r^2*e1*e2*e7+1/9*r^2*e4*e5*e8+1/9*r^2*e4*e6*e7+2/9*r^2*e1*e8*e9+2/9*r^2*e3*e7*e8+1/9*r^2*e4*e5*e7+1/9*r^2*e2*e4*e5+2/9*r^2*e3*e7*e9+1/9*r^2*e4*e6*e8+2/9*r^2*e1*e2*e3-4/9*r^2*e4*e5*e6+2/9*r^2*e1*e7*e9+1/9*r^2*e1*e4*e5+1/9*r^2*e1*e4*e6+1/9*r^2*e2*e4*e6+1/9*r^2*e3*e4*e5+1/9*r^2*e3*e5*e6+2/9*r^2*e2*e7*e8+2/9*r^2*e2*e7*e9+1/9*r^2*e4*e6*e9+1/9*r^2*e5*e6*e7+1/9*r^2*e5*e6*e8+1/9*r^2*e5*e6*e9+2/9*r^2*e1*e2*e8+2/9*r^2*e1*e2*e9+2/9*r^2*e1*e3*e7+2/9*r^2*e1*e3*e8+2/9*r^2*e1*e3*e9+1/27*r^2*e2^3+1/27*r^2*e3^3-2/27*r^2*e5^3-2/27*r^2*e6^3+1/27*r^2*e7^3+1/27*r^2*e8^3+1/27*r^2*e9^3+1/27*r^2*e1^3-2/27*r^2*e4^3+3*x^3*r^2*e7*e8-7*x^3*r*e7*e8*e9+x^3*r^2*e7*e8*e9:

P0p0:= x^5*(x-1)^3*dx^5
 +x^4*(x-1)^2*(11*x-2*r*x+e8*x+e7*x+x*e9+e2+e3-8+e1-r)*dx^4
 +1/3*x^3*(x-1)*(39+x*e4*e6+2*e1*x*e8-6*r*e7*x^2-6*r*e8*x^2-e7*x*e9+x*e4*e5+3*e7*e8*x^2-e2*x*e3+3*x^2*e8*e9-e8*x*e9+2*e3*x*e8+2*e2*x*e9-3*r*e3*x+2*e1*x*e7+2*e1*x*e9+3*e7*x^2*e9+2*e2*x*e7+x*e5*e6+2*e3*x*e9-3*r*x*e1-129*x+2*e3*x*e7+2*e2*x*e8+3*e1*e2+3*e1*e3+3*e2*e3-e1*x*e2-12*e1-12*e2-12*e3+15*r-e1*x*e3-3*r*e1-3*r*e2-3*r*e3-3*r*e2*x+3*r^2-e7*e8*x+93*x^2-6*r*x^2*e9+21*e7*x^2+15*r*x-18*x*e9+15*e1*x+3*r^2*x-39*r*x^2+3*r^2*x^2+x*e3^2+21*x^2*e8-x*e5^2-18*e8*x+15*e3*x+15*e2*x+x*e9^2+21*x^2*e9+x*e8^2+x*e2^2-18*e7*x+x*e7^2+x*e1^2-x*e4^2-x*e6^2)*dx^3
 +1/27*x^2*(-27+3*x*e4^2*e6+36*e3*x^2*e7-18*x*e4*e6-3*x*e4^2*e9-189*r*e8*x^3-36*e1*x*e8+18*x^2*e4*e5+3*e7*x*e9^2+18*x^2*e4*e6+189*r*e7*x^2+189*r*e8*x^2+18*x^2*e5*e6-3*x*e6^2*e7+9*r*x^2*e6^2-54*r*e1*x^2+108*e7*x^3*e9-36*e7*x*e9+36*e2*x^2*e9+3*x*e1^2*e7-18*x*e4*e5-54*r*e2*x^2-72*e7*e8*x^2-189*r*e7*x^3+3*e1*x*e3^2+3*x*e1^2*e3+27*r^2*x^3*e9+45*e2*x*e3-72*x^2*e8*e9+36*e3*x^2*e8-36*e8*x*e9+36*e1*x^2*e7+108*e7*e8*x^3-9*r*x^2*e2^2-36*e3*x*e8-36*e2*x*e9-9*r*x^2*e8^2+3*e1*x*e7^2+36*e3*x^2*e9+3*e1*x*e8^2+36*e1*x^2*e8-36*e1*x*e7-27*r*e2*e3-36*e1*x*e9+27*r^2*e8*x^3-72*e7*x^2*e9+3*e1*x*e2^2-36*e2*x*e7-18*e2*x^2*e3+36*e1*x^2*e9-18*x*e5*e6-3*e2*x*e5^2-36*e3*x*e9+3*e1*x*e9^2-3*e3*x*e5^2+513*x+6*e1*x*e7*e8-9*r*x^2*e9^2-3*e1*x*e5^2-36*e3*x*e7+36*e2*x^2*e8+3*x*e4*e5^2+108*e8*x^3*e9+36*e2*x^2*e7-36*e2*x*e8+3*x*e5*e6^2-27*e1*e2-27*e1*e3-27*e2*e3+3*x*e1^2*e8-27*r*e1*e3+45*e1*x*e2-27*r*e1*e2-18*e1*x^2*e2+27*e1*e2*e3+27*e1+27*e2+27*e3-81*r+3*x*e1^2*e2+3*e2*x*e3^2+3*e3*x*e8^2+45*e1*x*e3+54*r*e1+54*r*e2+54*r*e3-3*e2*x*e4^2+27*r^2*e7*x^3-81*r^2+27*r^2*e2+27*r^2*e1+27*r^2*e3-36*e7*e8*x-189*r*x^3*e9-9*r*x^2*e7^2+594*x^3-1080*x^2+189*r*x^2*e9-18*e1*x^2*e3-54*r*e3*x^2-9*r*x^2*e1^2-459*r*x^3+6*e2*x*e3*e7+36*r*e7*e8*x^2+36*r*e7*x^2*e9+36*r*e8*x^2*e9-54*r*e7*e8*x^3-54*r*e7*x^3*e9-54*r*e8*x^3*e9+27*e7*e8*x^3*e9+6*e1*x*e2*e8-9*r*x^2*e3^2+9*r*x^2*e4^2+9*r*x^2*e5^2-378*e7*x^2-18*x^2*e4^2+x*e7^3+108*x*e9-135*e1*x-2*x*e4^3+18*x^2*e1^2+540*r*x^2+270*e7*x^3-18*x*e3^2-2*x*e6^3+270*e8*x^3-378*x^2*e8+81*r^2*x^3+18*x*e5^2-27*x*u+108*e8*x+x*e1^3+x*e2^3-135*e3*x+18*x^2*e8^2+18*x^2*e7^2-135*e2*x-18*x^2*e5^2+x*e3^3-18*x*e9^2+108*e1*x^2+108*e2*x^2-378*x^2*e9-18*x^2*e6^2+18*x^2*e3^2-18*x*e8^2-18*x*e2^2-2*x*e5^3+108*e3*x^2+108*e7*x-18*x*e7^2+18*x^2*e2^2-18*x*e1^2+18*x^2*e9^2+x*e9^3+270*x^3*e9+x*e8^3+18*x*e4^2+3*x*e2^2*e8-27*r^3+18*x*e6^2+27*x^2*u-3*e1*x*e6^2+3*x*e2^2*e7+9*r*e1*x^2*e3+9*r*e1*x^2*e2-9*r*x^2*e4*e5+9*r*e2*x^2*e3-9*r*x^2*e4*e6-9*r*x^2*e5*e6-18*r*e1*x^2*e7-18*r*e1*x^2*e8-18*r*e1*x^2*e9-18*r*e2*x^2*e7-18*r*e2*x^2*e8-18*r*e2*x^2*e9-18*r*e3*x^2*e7-18*r*e3*x^2*e8-18*r*e3*x^2*e9-21*e7*e8*x*e9+3*x*e7^2*e8-3*e3*x*e4^2+3*x*e7^2*e9-3*e2*x*e6^2-3*e1*x*e4^2-3*e3*x*e6^2+3*e2*x*e7^2+3*e2*x*e8^2+3*e2*x*e9^2+3*e3*x*e7^2+3*e3*x*e9^2-3*x*e4^2*e7-3*x*e4^2*e8-3*x*e5^2*e7-3*x*e5^2*e8-3*x*e5^2*e9-3*x*e6^2*e8-3*x*e6^2*e9+3*x*e4^2*e5+3*x*e4*e6^2+3*x*e5^2*e6+3*x*e1^2*e9+3*x*e2^2*e9+3*x*e3^2*e7+3*x*e3^2*e8+3*x*e3^2*e9+3*x*e2^2*e3+3*e7*x*e8^2+3*x*e8^2*e9+3*e8*x*e9^2+6*e2*x*e8*e9+3*e2*x*e5*e6+3*x*e4*e5*e9+3*e3*x*e4*e6+3*e1*x*e5*e6+6*e3*x*e8*e9+6*e2*x*e3*e8+3*x*e4*e6*e9+3*x*e5*e6*e7+3*x*e5*e6*e8+3*x*e5*e6*e9+6*e1*x*e2*e9+6*e1*x*e3*e7+6*e1*x*e3*e8+6*e1*x*e3*e9+6*e2*x*e3*e9+6*e1*x*e2*e7+3*x*e4*e5*e8+3*x*e4*e6*e7+6*e1*x*e8*e9+6*e3*x*e7*e8+3*x*e4*e5*e7+3*e2*x*e4*e5+6*e3*x*e7*e9+3*x*e4*e6*e8-21*e1*x*e2*e3-12*x*e4*e5*e6+6*e1*x*e7*e9+3*e1*x*e4*e5+3*e1*x*e4*e6+3*e2*x*e4*e6+3*e3*x*e4*e5+3*e3*x*e5*e6+6*e2*x*e7*e8+6*e2*x*e7*e9)*dx^2
 -(-1+r)*x*(1-r*e8*x^3+2*e7*x^3*e9-r*e7*x^3+2*e7*e8*x^3+r*e2*e3+2*e8*x^3*e9+e1*e2+e1*e3+e2*e3+r*e1*e3+r*e1*e2-e1*e2*e3-e1-e2-e3+3*r-2*r*e1-2*r*e2-2*r*e3+3*r^2-r^2*e2-r^2*e1-r^2*e3-r*x^3*e9+2*x^3-r*x^3-r*e7*e8*x^3-r*e7*x^3*e9-r*e8*x^3*e9+2*e7*e8*x^3*e9+2*e7*x^3+2*e8*x^3+2*x^3*e9+r^3+x^2*u)*dx
 + r*(-1+r)*(-r^3+r^2*e1+r^2*e3-3*r^2+r^2*e2-r*e2*e3+2*r*e3+2*r*e2+2*r*e1-r*e1*e2-r*e1*e3-3*r-1+e2+e1+e3+e1*e2*e3+e7*e8*x^3*e9-e2*e3-e1*e2-e1*e3):


Q0p0:= x^5*(x-1)^3*dx^5
 + x^4*(x-1)^2*(e7*x-2*r*x+e8*x+26*x+x*e9-23-r+e1+e2+e3)*dx^4
 + 1/3*(x-1)*(507+x*e4*e6+2*e1*x*e8-6*r*e7*x^2-6*r*e8*x^2-e7*x*e9+x*e4*e5+3*e7*e8*x^2-e2*x*e3+3*x^2*e8*e9-e8*x*e9+2*e3*x*e8+2*e2*x*e9-3*r*e3*x+2*e1*x*e7+2*e1*x*e9+3*e7*x^2*e9+2*e2*x*e7+x*e5*e6+2*e3*x*e9-3*r*x*e1-1173*x+2*e3*x*e7+2*e2*x*e8+3*e1*e2+3*e1*e3+3*e2*e3-e1*x*e2-48*e1-48*e2-48*e3+51*r-e1*x*e3-3*r*e1-3*r*e2-3*r*e3-3*r*e2*x+3*r^2-e7*e8*x+669*x^2-6*r*x^2*e9+57*e7*x^2+51*r*x-54*x*e9+51*e1*x+3*r^2*x-111*r*x^2+3*r^2*x^2+x*e3^2+57*x^2*e8-x*e5^2-54*e8*x+51*e3*x+51*e2*x+x*e9^2+57*x^2*e9+x*e8^2+x*e2^2-54*e7*x+x*e7^2+x*e1^2-x*e4^2-x*e6^2)*x^3*dx^3
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 + r^4*e1-81+2/3*x*e4^2*e6+12*e3*x^2*e7-6*x*e4*e6-2/3*x*e4^2*e9-63*r*e8*x^3-12*e1*x*e8+6*x^2*e4*e5+2/3*e7*x*e9^2+6*x^2*e4*e6+54*r*e7*x^2+54*r*e8*x^2+6*x^2*e5*e6-2/3*x*e6^2*e7+2*r*x^2*e6^2-18*r*e1*x^2+36*e7*x^3*e9-6*e7*x*e9+12*e2*x^2*e9+2/3*x*e1^2*e7-6*x*e4*e5-18*r*e2*x^2-24*e7*e8*x^2-63*r*e7*x^3+2/3*e1*x*e3^2+2/3*x*e1^2*e3+9*r^2*x^3*e9+18*e2*x*e3-24*x^2*e8*e9+12*e3*x^2*e8-6*e8*x*e9+12*e1*x^2*e7+36*e7*e8*x^3-2*r*x^2*e2^2-12*e3*x*e8-12*e2*x*e9-2*r*x^2*e8^2+2/3*e1*x*e7^2+12*e3*x^2*e9+2/3*e1*x*e8^2+12*e1*x^2*e8-12*e1*x*e7-5*r*e2*e3-12*e1*x*e9+9*r^2*e8*x^3-24*e7*x^2*e9+2/3*e1*x*e2^2-12*e2*x*e7-6*e2*x^2*e3+12*e1*x^2*e9-6*x*e5*e6-2/3*e2*x*e5^2-12*e3*x*e9+2/3*e1*x*e9^2-2/3*e3*x*e5^2+450*x+4/3*e1*x*e7*e8-2*r*x^2*e9^2-2/3*e1*x*e5^2-12*e3*x*e7+12*e2*x^2*e8+2/3*x*e4*e5^2-r^3*e2*e3-r^3*e1*e3-r^3*e1*e2+36*e8*x^3*e9+12*e2*x^2*e7-12*e2*x*e8+2/3*x*e5*e6^2-9*e1*e2-9*e1*e3-9*e2*e3+2/3*x*e1^2*e8-5*r*e1*e3+18*e1*x*e2-5*r*e1*e2-6*e1*x^2*e2+3*x^3*r^2*e8*e9+3*x^3*r^2*e7*e9+3*e1*e2*e3+27*e1+27*e2+27*e3-41*r+4*r^3*e2+2/3*x*e1^2*e2+4*r^3*e3+4*r^3*e1+2/3*e2*x*e3^2+2/3*e3*x*e8^2+18*e1*x*e3+14*r*e1+14*r*e2+14*r*e3+2*r*e1*e2*e3-2/3*e2*x*e4^2+9*r^2*e7*x^3-22*r^2+8*r^2*e2+8*r^2*e1+8*r^2*e3-6*e7*e8*x-63*r*x^3*e9-2*r*x^2*e7^2+324*x^3-684*x^2+54*r*x^2*e9-6*e1*x^2*e3-18*r*e3*x^2-2*r*x^2*e1^2-189*r*x^3+4/3*e2*x*e3*e7+8*r*e7*e8*x^2+8*r*e7*x^2*e9+8*r*e8*x^2*e9-21*r*e7*e8*x^3-21*r*e7*x^3*e9-21*r*e8*x^3*e9+12*e7*e8*x^3*e9+4/3*e1*x*e2*e8-2*r*x^2*e3^2+2*r*x^2*e4^2+2*r*x^2*e5^2-162*e7*x^2-6*x^2*e4^2+2/9*x*e7^3+60*x*e9-84*e1*x-4/9*x*e4^3+6*x^2*e1^2+228*r*x^2+108*e7*x^3-6*x*e3^2-4/9*x*e6^3+108*e8*x^3-162*x^2*e8+27*r^2*x^3+6*x*e5^2-6*x*u+60*e8*x+2/9*x*e1^3+2/9*x*e2^3-84*e3*x+6*x^2*e8^2+6*x^2*e7^2-84*e2*x-6*x^2*e5^2+2/9*x*e3^3-6*x*e9^2+54*e1*x^2+54*e2*x^2-162*x^2*e9-6*x^2*e6^2+6*x^2*e3^2-6*x*e8^2-6*x*e2^2-4/9*x*e5^3+54*e3*x^2+60*e7*x-6*x*e7^2+6*x^2*e2^2-6*x*e1^2+6*x^2*e9^2+2/9*x*e9^3+108*x^3*e9+2/9*x*e8^3+6*x*e4^2+2/3*x*e2^2*e8-12*r^3+6*x*e6^2+9*x^2*u-2/3*e1*x*e6^2+2/3*x*e2^2*e7+2*r*e1*x^2*e3+2*r*e1*x^2*e2-2*r*x^2*e4*e5+2*r*e2*x^2*e3-2*r*x^2*e4*e6-2*r*x^2*e5*e6-4*r*e1*x^2*e7-4*r*e1*x^2*e8-4*r*e1*x^2*e9-4*r*e2*x^2*e7-4*r*e2*x^2*e8-4*r*e2*x^2*e9-4*r*e3*x^2*e7-4*r*e3*x^2*e8-4*r*e3*x^2*e9-14/3*e7*e8*x*e9+2/3*x*e7^2*e8-2/3*e3*x*e4^2+2/3*x*e7^2*e9-2/3*e2*x*e6^2-2/3*e1*x*e4^2-2/3*e3*x*e6^2+2/3*e2*x*e7^2+2/3*e2*x*e8^2+2/3*e2*x*e9^2+2/3*e3*x*e7^2+2/3*e3*x*e9^2-2/3*x*e4^2*e7-2/3*x*e4^2*e8-2/3*x*e5^2*e7-2/3*x*e5^2*e8-2/3*x*e5^2*e9-2/3*x*e6^2*e8-2/3*x*e6^2*e9+2/3*x*e4^2*e5+2/3*x*e4*e6^2+2/3*x*e5^2*e6+2/3*x*e1^2*e9+2/3*x*e2^2*e9+2/3*x*e3^2*e7+2/3*x*e3^2*e8+2/3*x*e3^2*e9+2/3*x*e2^2*e3+2/3*e7*x*e8^2+2/3*x*e8^2*e9+2/3*e8*x*e9^2+4/3*e2*x*e8*e9+2/3*e2*x*e5*e6+2/3*x*e4*e5*e9+2/3*e3*x*e4*e6+2/3*e1*x*e5*e6+4/3*e3*x*e8*e9+4/3*e2*x*e3*e8+2/3*x*e4*e6*e9+2/3*x*e5*e6*e7+2/3*x*e5*e6*e8+2/3*x*e5*e6*e9+4/3*e1*x*e2*e9+4/3*e1*x*e3*e7+4/3*e1*x*e3*e8+4/3*e1*x*e3*e9+4/3*e2*x*e3*e9+4/3*e1*x*e2*e7+2/3*x*e4*e5*e8+2/3*x*e4*e6*e7+4/3*e1*x*e8*e9+4/3*e3*x*e7*e8+2/3*x*e4*e5*e7+2/3*e2*x*e4*e5+4/3*e3*x*e7*e9+2/3*x*e4*e6*e8-14/3*e1*x*e2*e3-8/3*x*e4*e5*e6+4/3*e1*x*e7*e9+2/3*e1*x*e4*e5+2/3*e1*x*e4*e6+2/3*e2*x*e4*e6+2/3*e3*x*e4*e5+2/3*e3*x*e5*e6+4/3*e2*x*e7*e8+4/3*e2*x*e7*e9-3*r^2*e1*e2-3*r^2*e1*e3-3*r^2*e2*e3-3*x^2*r*u+r^2*e1*e2*e3+3*x^3*r^2*e7*e8-7*x^3*r*e7*e8*e9+x^3*r^2*e7*e8*e9+r^4*e3+r^4*e2-r^5-5*r^4:

Pppn:= x^3*(x-1)^3*dx^5
 + x^2*(x-1)^2*(x*e9-3*r*x+12*x+x*e8+e7*x+e2-9+e3+e1)*dx^4
 + 1/3*x*(x-1)*(57-6*r*e1*x+2*e2*x*e9+2*e3*x*e7+x*e4*e6-9*r*e8*x^2+2*e3*x*e8-e2*x*e3+3*e7*x^2*e9+2*e1*x*e9-9*r*x^2*e9-e7*x*e9+2*e3*x*e9+2*e1*x*e8+2*e2*x*e7-e1*x*e3-e1*x*e2+3*r*e7*x+x*e4*e5+3*r*e8*x+x*e5*e6+2*e1*x*e7-165*x+2*e2*x*e8-9*r*e7*x^2+3*e8*x^2*e9-6*r*e3*x+3*e1*e2+3*e1*e3+3*e2*e3-15*e1-15*e2-15*e3-e7*e8*x-x*e6^2-x*e8*e9-6*r*x*e2+3*e7*e8*x^2+3*r*x*e9+111*x^2+18*e3*x-x*e5^2+24*e7*x^2+24*x^2*e9-63*r*x^2-x*e4^2+x*e8^2-21*e7*x+x*e7^2+18*e2*x+24*e8*x^2+x*e9^2-21*x*e9+x*e1^2+54*r*x-21*x*e8+18*e1*x+x*e2^2+9*r^2*x^2+x*e3^2)*dx^3
 +(-8+1/9*x*e2^2*e3-1/9*x*e6^2*e9-e1*x^2*e2+2/3*r*x^2*e4^2+1/9*x*e1^2*e7-1/9*x*e6^2*e7-1/9*x*e5^2*e9-2/3*r*x^2*e3^2+5*r*e1*x-2*e2*x*e9+1/9*e1*x*e2^2-2*e3*x*e7+1/9*x*e3^2*e7+r^2*e1*x^2-2/3*r*x^2*e7^2-x*e4*e6+1/9*x*e4^2*e6-e1*x^2*e3+16*r*e8*x^2+1/3*r*x*e7^2-2*r^2*e8*x^2-1/3*r*x*e6^2+2*e1*x^2*e7+x^2*e4*e5+x^2*e4*e6+1/3*r*x*e2^2-2*e3*x*e8+3*e2*x*e3+1/9*x*e4^2*e5+1/3*r*x*e9^2+3*r^2*e7*x^3-1/9*e2*x*e5^2+1/9*x*e1^2*e2+1/3*r*x*e8^2-12*r*e7*x^3+1/3*r*x*e1^2-4*e7*x^2*e9-2*e1*x*e9+16*r*x^2*e9-e7*x*e9-2*e3*x*e9-2*e1*x*e8-2*e2*x*e7+1/9*x*e3^2*e9-1/9*x*e6^2*e8-5*r*e2*x^2-2*r^2*x^2*e9+r^2*e3*x^2+3*e1*x*e3+3*e1*x*e2-12*r*x^3*e9-e2*x^2*e3+1/9*x*e1^2*e9-4*r*e7*x+2*e3*x^2*e7-x*e4*e5+1/9*x*e7^2*e9-4*r*e8*x-x*e5*e6-2*e1*x*e7-2/3*r*x^2*e8^2+1/9*x*e1^2*e3-1/9*e3*x*e5^2-1/9*e2*x*e6^2+x^2*e5*e6+39*x-2*e2*x*e8+1/9*e7*x*e8^2+16*r*e7*x^2-5*r*e3*x^2+1/9*e1*x*e9^2-2/3*r*x^2*e9^2-4*e8*x^2*e9-1/9*e3*x*e6^2+5*e7*e8*x^3+5*r*e3*x+2*e1*x^2*e9-1/9*x*e5^2*e8-1/9*e1*x*e5^2-1/9*e3*x*e4^2-5*r*e1*x^2+e1*e2*e3+1/9*x*e8^2*e9-2*e1*e2-2*e1*e3-2*e2*e3+4*e1+4*e2+4*e3+2/3*r*x^2*e6^2+1/9*e2*x*e9^2-e7*e8*x-2/3*r*x^2*e1^2+x*e6^2+1/9*x*e3^2*e8-x*e8*e9-1/3*r*x*e5^2+5*r*x*e2-4*e7*e8*x^2+1/9*x*e5*e6^2+2/3*r*x^2*e5^2-4*r*x*e9-2*r^2*e7*x^2-12*r*e8*x^3+5*e7*x^3*e9+5*e8*x^3*e9+3*r^2*e8*x^3+3*r^2*x^3*e9+29*x^3-1/3*r*e7*e8*x+2/3*r*x*e2*e8-60*x^2-10*e3*x+x*e5^2-21*e7*x^2+6*e3*x^2+13*e8*x^3+1/27*x*e2^3-21*x^2*e9+x^2*e8^2+1/27*x*e1^3+49*r*x^2-2/27*x*e5^3+x*e4^2-29*r*x^3+13*x^3*e9+6*e1*x^2-x*e8^2+x^2*u-2/27*x*e6^3+13*e7*x^3+8*e7*x+6*e2*x^2-x*e7^2+1/27*x*e7^3-10*e2*x-21*e8*x^2-x*e9^2-x*u-x^2*e5^2+x^2*e7^2+8*x*e9-x*e1^2+1/27*x*e3^3-x^2*e6^2+x^2*e2^2-20*r*x+8*x*e8-10*e1*x-x*e2^2+x^2*e1^2+1/9*x*e5*e6*e8+8/3*r*e7*e8*x^2+8/3*r*e7*x^2*e9+8/3*r*e8*x^2*e9-3*r*e7*e8*x^3-3*r*e7*x^3*e9-3*r*e8*x^3*e9+e7*e8*x^3*e9+2/9*e1*x*e2*e8-1/3*r*e7*x*e9-1/3*r*e8*x*e9-4/3*r*e1*x*e2-4/3*r*e1*x*e3+1/3*r*x*e4*e5-4/3*r*x*e2*e3+1/3*r*x*e4*e6+1/3*r*x*e5*e6+2/3*r*e1*x*e7+2/3*r*e1*x*e8+2/3*r*e1*x*e9+2/3*r*x*e2*e7+2/3*r*x*e2*e9+2/3*r*e3*x*e7+2/3*r*e3*x*e8+2/3*r*e3*x*e9+2/3*r*e1*x^2*e2+2/3*r*e1*x^2*e3-2/3*r*x^2*e4*e5+2/3*r*e2*x^2*e3-2/3*r*x^2*e4*e6-2/3*r*x^2*e5*e6-4/3*r*e1*x^2*e7-4/3*r*e1*x^2*e8-4/3*r*e1*x^2*e9-4/3*r*e2*x^2*e7-4/3*r*e2*x^2*e8-4/3*r*e2*x^2*e9-4/3*r*e3*x^2*e7-4/3*r*e3*x^2*e8-4/3*r*e3*x^2*e9+9*r^2*x^3-r^3*x^3-9*r^2*x^2-x^2*e4^2+1/3*r*x*e3^2-1/3*r*x*e4^2+2*e1*x^2*e8+2*e2*x^2*e7+2*e2*x^2*e8+2*e2*x^2*e9+2*e3*x^2*e8+2*e3*x^2*e9-2/3*r*x^2*e2^2+r^2*e2*x^2+x^2*e3^2-x*e3^2+x^2*e9^2+1/27*x*e9^3+1/27*x*e8^3-2/27*x*e4^3+1/9*x*e1^2*e8+2/9*e2*x*e8*e9+2/9*e2*x*e3*e8-7/9*e7*e8*x*e9+1/9*x*e5*e6*e9+2/9*e1*x*e2*e7+1/9*e3*x*e4*e5+1/9*x*e4*e5*e7+1/9*e2*x*e4*e6+2/9*e2*x*e7*e8+1/9*e3*x*e5*e6+2/9*e1*x*e3*e9+1/9*x*e4*e5*e8+1/9*e2*x*e4*e5+2/9*e1*x*e2*e9+2/9*e1*x*e7*e9+1/9*x*e4*e5*e9+1/9*e1*x*e5*e6+1/9*e2*x*e5*e6+2/9*e2*x*e3*e7+2/9*e3*x*e7*e8+1/9*x*e4*e6*e8-7/9*e1*x*e2*e3-4/9*x*e4*e5*e6+2/9*e3*x*e8*e9+2/9*e1*x*e7*e8+1/9*e1*x*e4*e5+1/9*e1*x*e4*e6+1/9*e3*x*e4*e6+2/9*e1*x*e8*e9+2/9*e2*x*e7*e9+2/9*e3*x*e7*e9+1/9*x*e4*e6*e7+1/9*x*e4*e6*e9+1/9*x*e5*e6*e7+2/9*e1*x*e3*e7+1/9*x*e4*e6^2+1/9*x*e5^2*e6+1/9*e2*x*e8^2+1/9*x*e2^2*e7-1/9*x*e4^2*e8+1/9*x*e4*e5^2-1/9*x*e4^2*e9+1/9*e7*x*e9^2+1/9*e3*x*e9^2-1/9*e1*x*e6^2-1/9*e2*x*e4^2+1/9*e1*x*e8^2+1/9*e2*x*e7^2+1/9*e3*x*e7^2+1/9*e3*x*e8^2-1/9*x*e4^2*e7-1/9*x*e5^2*e7-1/9*e1*x*e4^2+1/9*e1*x*e7^2+1/9*x*e2^2*e8+1/9*x*e2^2*e9+1/9*e1*x*e3^2+1/9*e2*x*e3^2+1/9*x*e8*e9^2+1/9*x*e7^2*e8+2/9*e1*x*e3*e8+2/9*e2*x*e3*e9)*dx^2
 -1/27*(r-1)*(-27+6*e2*e8*e9+6*e2*e3*e8+3*e2*e5*e6+6*e2*e3*e7-54*r*e8*x^2-9*r*x*e7^2+27*r^2*e8*x^2+9*r*x*e6^2+6*e3*e7*e8+6*e1*e2*e8-9*r*x*e2^2+3*e5*e6*e9-9*r*x*e9^2+6*e1*e2*e7+3*e3*e4*e5+3*e4*e5*e7-9*r*x*e8^2+3*e2*e4*e6-9*r*x*e1^2+81*e7*x^2*e9-54*r*x^2*e9+27*r^2*x^2*e9+6*e2*e7*e8+81*r*e7*x+81*r*e8*x+3*e3*e5*e6+6*e1*e3*e9+3*e4*e5*e8-27*u+3*e2*e4*e5-54*r*e7*x^2+6*e1*e2*e9+81*e8*x^2*e9+6*e1*e7*e9+3*e4*e5*e9+3*e1*e5*e6+3*e4*e6*e8-21*e1*e2*e3-12*e4*e5*e6-21*e7*e8*e9+9*e1*e2+9*e1*e3-9*e4*e5+9*e2*e3-9*e4*e6-45*e7*e8-9*e5*e6-45*e7*e9-45*e8*e9+6*e3*e8*e9+6*e1*e7*e8-9*e1^2-9*e2^2-9*e3^2-18*e1*e7-18*e1*e8-18*e1*e9-18*e2*e7-18*e2*e8-18*e2*e9-18*e3*e7-18*e3*e8-18*e3*e9+9*e4^2+9*e5^2+9*e6^2-9*e8^2-9*e9^2-9*e7^2+3*e1*e4*e5+3*e1*e4*e6+3*e3*e4*e6+6*e1*e8*e9+6*e2*e7*e9+6*e3*e7*e9+3*e4*e6*e7+3*e4*e6*e9+3*e5*e6*e7+3*e5*e6*e8+6*e1*e3*e7+6*e1*e3*e8+6*e2*e3*e9+e2^3+e3^3-2*e6^3+e7^3+e8^3+e9^3-3*e1*e5^2-3*e1*e6^2-3*e2*e4^2-3*e2*e5^2-3*e2*e6^2-3*e3*e4^2-3*e3*e5^2-3*e3*e6^2+3*e1*e8^2+3*e1*e9^2+3*e2*e7^2+3*e2*e8^2+3*e2*e9^2+3*e3*e7^2+3*e3*e8^2+3*e3*e9^2-3*e4^2*e7-3*e4^2*e8-3*e4^2*e9-3*e5^2*e7-3*e5^2*e8-3*e5^2*e9-3*e6^2*e7-3*e6^2*e8-3*e6^2*e9-3*e1*e4^2+3*e1*e7^2+3*e4^2*e5+3*e4*e5^2+3*e4^2*e6+3*e4*e6^2+3*e5^2*e6+3*e5*e6^2+3*e1^2*e7+3*e1^2*e8+3*e1^2*e9+3*e2^2*e7+3*e2^2*e8+3*e2^2*e9+3*e3^2*e7+3*e3^2*e8+3*e3^2*e9+3*e1^2*e3+3*e1*e2^2+3*e1*e3^2+3*e2^2*e3+3*e2*e3^2+e1^3+3*e1^2*e2-2*e5^3-2*e4^3+3*e7^2*e9+3*e7*e8^2+3*e7*e9^2+3*e8^2*e9+3*e8*e9^2+3*e7^2*e8+9*r*x*e5^2+81*e7*e8*x^2+81*r*x*e9+27*r^2*e7*x^2+36*r*e7*e8*x-18*r*x*e2*e8+81*x^2+81*e7*x^2+81*x^2*e9-81*r*x^2+81*e8*x^2+54*x*u+54*r*x-81*r*e7*e8*x^2-81*r*e7*x^2*e9-81*r*e8*x^2*e9+81*e7*e8*x^2*e9+36*r*e7*x*e9+36*r*e8*x*e9+9*r*e1*x*e2+9*r*e1*x*e3-9*r*x*e4*e5+9*r*x*e2*e3-9*r*x*e4*e6-9*r*x*e5*e6-18*r*e1*x*e7-18*r*e1*x*e8-18*r*e1*x*e9-18*r*x*e2*e7-18*r*x*e2*e9-18*r*e3*x*e7-18*r*e3*x*e8-18*r*e3*x*e9-9*r*x*e3^2+9*r*x*e4^2)*dx
 + 1/3*r*(r-1)*(6-3*e7*x*e9+3*r*e7*x+3*r*e8*x+3*u-3*x+e1*e2+e1*e3-e4*e5+e2*e3-e4*e6+4*e7*e8-e5*e6+4*e7*e9+4*e8*e9+9*e7+9*e8+9*e9-3*e7*e8*x-e1^2-e2^2-e3^2-2*e1*e7-2*e1*e8-2*e1*e9-2*e2*e7-2*e2*e8-2*e2*e9-2*e3*e7-2*e3*e8-2*e3*e9+e4^2+e5^2+e6^2-e8^2-e9^2-e7^2-3*x*e8*e9+3*r*x*e9-3*r*e7*e8*x+3*e7*x+3*x*e9-3*r*x+3*x*e8-3*r*e7*x*e9-3*r*e8*x*e9+9*e7*e8*x*e9):


Qppn:= x^3*(x-1)^3*dx^5
 + x^2*(x-1)^2*(x*e9-3*r*x+12*x+x*e8+e7*x+e2-9+e3+e1)*dx^4
 + 1/3*x*(x-1)*(57-6*r*e1*x+2*e2*x*e9+2*e3*x*e7+x*e4*e6-9*r*e8*x^2+2*e3*x*e8-e2*x*e3+3*e7*x^2*e9+2*e1*x*e9-9*r*x^2*e9-e7*x*e9+2*e3*x*e9+2*e1*x*e8+2*e2*x*e7-e1*x*e3-e1*x*e2+3*r*e7*x+x*e4*e5+3*r*e8*x+x*e5*e6+2*e1*x*e7-165*x+2*e2*x*e8-9*r*e7*x^2+3*e8*x^2*e9-6*r*e3*x+3*e1*e2+3*e1*e3+3*e2*e3-15*e1-15*e2-15*e3-e7*e8*x-x*e6^2-x*e8*e9-6*r*x*e2+3*e7*e8*x^2+3*r*x*e9+111*x^2+18*e3*x-x*e5^2+24*e7*x^2+24*x^2*e9-63*r*x^2-x*e4^2+x*e8^2-21*e7*x+x*e7^2+18*e2*x+24*e8*x^2+x*e9^2-21*x*e9+x*e1^2+54*r*x-21*x*e8+18*e1*x+x*e2^2+9*r^2*x^2+x*e3^2)*dx^3
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