## Z4PQ.txt
# List of shift operators
# relative to the shift 0+1-, 0+2-, 2+3-, which are denoted
#  PA0p1n, QA0p1n;PA0p2n, QA0p2n; PA2p3n, QA2p3n.
# note that PA and QA are used instead of P and Q used for other equations
# Also given are PA0p1p, QA0p1p, and so on

PA0p1n:= x*(x-1)*dx^2+(-k-1/2+A0+2*x*k-x*A0+x+x*A1)*dx-1/2*A1+1/2*A0+k^2-1/2*A2^2-1/2*A3^2+1/2*A1^2+1/4+1/2*A0^2-A0*A1-k*A0+k*A1: 

QA0p1n:= x*(x-1)*dx^2+(-k-1/2+A0+2*x*k-x*A0+x+x*A1)*dx-1/2*A1+1/2*A0+k^2-1/2*A2^2-1/2*A3^2+1/2*A1^2+1/4+1/2*A0^2-A0*A1-k*A0+k*A1: 

PA0n1p:= x*(x-1)*dx^2+(-A0-1/2-k+2*x*k+x*A0+x-x*A1)*dx+1/2*A0^2+1/2*A1^2-k*A1-1/2*A3^2+1/4-A0*A1+k^2+1/2*A1-1/2*A2^2+k*A0-1/2*A0: 

QA0n1p:= x*(x-1)*dx^2+(-A0-1/2-k+2*x*k+x*A0+x-x*A1)*dx+1/2*A0^2+1/2*A1^2-k*A1-1/2*A3^2+1/4-A0*A1+k^2+1/2*A1-1/2*A2^2+k*A0-1/2*A0: 

PA0p1p:= x*(x-1)*dx^2+(-k-1/2+A0+2*x*k+x-x*A1-x*A0)*dx+1/2*A1^2+1/2*A0^2+1/2*A1+1/2*A0-k*A0-k*A1+k^2+1/4-1/2*A3^2+A0*A1-1/2*A2^2: 

QA0p1p:= x*(x-1)*dx^2+(-k-1/2+A0+2*x*k+x-x*A1-x*A0)*dx+1/2*A1^2+1/2*A0^2+1/2*A1+1/2*A0-k*A0-k*A1+k^2+1/4-1/2*A3^2+A0*A1-1/2*A2^2: 

PA0n1n:= x*(x-1)*dx^2+(-1/2-k-A0+x+x*A0+2*x*k+x*A1)*dx+1/2*A1^2+1/2*A0^2-1/2*A1+k*A1+k*A0+k^2+1/4-1/2*A3^2+A0*A1-1/2*A2^2-1/2*A0:  

QA0n1n:= x*(x-1)*dx^2+(-1/2-k-A0+x+x*A0+2*x*k+x*A1)*dx+1/2*A1^2+1/2*A0^2-1/2*A1+k*A1+k*A0+k^2+1/4-1/2*A3^2+A0*A1-1/2*A2^2-1/2*A0:  

PA0p2n:= x^2*(x-1)^2*dx^3+1/2*x*(x-1)*(9*x+6*x*k-2*x*A2+2*A2-5-2*k)*dx^2+(1/2-k*A2-7/2*x+k-1/2*A2-1/2*A0+13/4*x^2-A0^2+3*x*k*A2+k*A0-2*x^2*k*A2+3*x^2*k^2-2*x*k^2+6*x^2*k-x*k*A0-x*A2*A0+A2*A0-x^2*A3^2-2*x^2*A2-6*x*k+1/2*x*A0+x*A3^2+5/2*x*A2-x*A1^2+x*A0^2)*dx+1/8*(-2*A2+1+2*k)*(4*x*k^2-4*k*A0+4*k*A2-4*k+4*x*k+2*A0^2-4*x*A3^2+x+2*A2^2-2*A1^2+2*A3^2-2*A2+2*A0-4*A2*A0):   

QA0p2n:= x^2*(x-1)^2*dx^3
+1/2*x*(x-1)*(-2*x*A2+17*x+6*x*k-9+2*A2-2*k)*dx^2
+(-k*A2-31/2*x+3*k-1/2*A2-5/2*A0+65/4*x^2-A0^2+3*x*k*A2+k*A0-2*x^2*k*A2+3*x^2*k^2-2*x*k^2+14*x^2*k+3/2-x*k*A0-x*A2*A0+A2*A0-x^2*A3^2-4*x^2*A2-14*x*k+5/2*x*A0+x*A3^2+9/2*x*A2-x*A1^2+x*A0^2)*dx
-1+3*k*A2-1/2*A3^2*A2+k^2*A2+1/2*k*A3^2-1/2*k*A2^2+45/8*x-11/2*k-5/4*A2+13/4*A0+7/4*A2^2-3*k^2+5/4*A3^2+5/4*A0^2-5/4*A1^2-x*k*A3^2-x*k^2*A2+x*A3^2*A2-3*x*k*A2-1/2*k*A1^2+1/2*k*A0^2+x*k^3+11/2*x*k^2-1/2*A0^2*A2+A2^2*A0
-k^2*A0-3*A2*A0+1/2*A1^2*A2+39/4*x*k-5/2*x*A3^2-9/4*x*A2-1/2*A2^3:

PA0n2p:= x^2*(x-1)^2*dx^3+1/2*x*(x-1)*(9*x+6*x*k+2*x*A2-2*k-2*A2-5)*dx^2+(1/2+k*A2-7/2*x+k+1/2*A2+1/2*A0+13/4*x^2-A0^2-3*x*k*A2-k*A0+2*x^2*k*A2+3*x^2*k^2-2*x*k^2+6*x^2*k+x*k*A0-x*A2*A0+A2*A0-x^2*A3^2+2*x^2*A2-6*x*k-1/2*x*A0+x*A3^2-5/2*x*A2-x*A1^2+x*A0^2)*dx+1/8*(2*A2+2*k+1)*(4*x*k^2+4*k*A0-4*k*A2-4*k+4*x*k+2*A0^2-4*x*A3^2+x+2*A2^2-2*A1^2+2*A3^2+2*A2-2*A0-4*A2*A0):  

QA0n2p:= +x^2*(x-1)^2*dx^3
+1/2*x*(x-1)*(2*x*A2+17*x+6*x*k-9-2*A2-2*k)*dx^2
+(k*A2-31/2*x+3*k+1/2*A2+5/2*A0+65/4*x^2-A0^2-3*x*k*A2-k*A0+2*x^2*k*A2+3*x^2*k^2-2*x*k^2+14*x^2*k+3/2+x*k*A0-x*A2*A0+A2*A0-x^2*A3^2+4*x^2*A2-14*x*k-5/2*x*A0+x*A3^2-9/2*x*A2-x*A1^2+x*A0^2)*dx
-1-3*k*A2+1/2*A3^2*A2-k^2*A2+1/2*k*A3^2-1/2*k*A2^2+45/8*x-11/2*k+5/4*A2-13/4*A0+7/4*A2^2-3*k^2+5/4*A3^2+5/4*A0^2-5/4*A1^2-x*k*A3^2+x*k^2*A2-x*A3^2*A2+3*x*k*A2-1/2*k*A1^2+1/2*k*A0^2+x*k^3+11/2*x*k^2+1/2*A0^2*A2-A2^2*A0+k^2*A0-3*A2*A0
-1/2*A1^2*A2+39/4*x*k-5/2*x*A3^2+9/4*x*A2+1/2*A2^3:

PA0p2p:= x^2*(x-1)^2*dx^3+1/2*x*(x-1)*(9*x+6*x*k+2*x*A2-2*k-2*A2-5)*dx^2+(1/2+k*A2-7/2*x+k+1/2*A2-1/2*A0+13/4*x^2-A0^2-3*x*k*A2+k*A0+2*x^2*k*A2+3*x^2*k^2-2*x*k^2+6*x^2*k-x*k*A0+x*A2*A0-A2*A0-x^2*A3^2+2*x^2*A2-6*x*k+1/2*x*A0+x*A3^2-5/2*x*A2-x*A1^2+x*A0^2)*dx+1/8*(2*A2+2*k+1)*(4*x*k^2-4*k*A0-4*k*A2-4*k+4*x*k+2*A0^2-4*x*A3^2+x+2*A2^2-2*A1^2+2*A3^2+2*A2+2*A0+4*A2*A0):  

QA0p2p:= x^2*(x-1)^2*dx^3
+1/2*x*(x-1)*(2*x*A2+17*x+6*x*k-9-2*A2-2*k)*dx^2
+(k*A2-31/2*x+3*k+1/2*A2-5/2*A0+65/4*x^2-A0^2-3*x*k*A2+k*A0+2*x^2*k*A2+3*x^2*k^2-2*x*k^2+14*x^2*k+3/2-x*k*A0+x*A2*A0-A2*A0-x^2*A3^2+4*x^2*A2-14*x*k+5/2*x*A0+x*A3^2-9/2*x*A2-x*A1^2+x*A0^2)*dx
-1-3*k*A2+1/2*A3^2*A2-k^2*A2+1/2*k*A3^2-1/2*k*A2^2+45/8*x-11/2*k+5/4*A2+13/4*A0+7/4*A2^2-3*k^2+5/4*A3^2+5/4*A0^2-5/4*A1^2-x*k*A3^2+x*k^2*A2-x*A3^2*A2+3*x*k*A2-1/2*k*A1^2+1/2*k*A0^2+x*k^3+11/2*x*k^2+1/2*A0^2*A2+A2^2*A0-k^2*A0+3*A2*A0-1/2*A1^2*A2+39/4*x*k-5/2*x*A3^2+9/4*x*A2+1/2*A2^3:


PA0n2n:= x^2*(x-1)^2*dx^3+1/2*x*(x-1)*(9*x+6*x*k-2*x*A2+2*A2-5-2*k)*dx^2+(1/2-k*A2-7/2*x+k-1/2*A2+1/2*A0+13/4*x^2-A0^2+3*x*k*A2-k*A0-2*x^2*k*A2+3*x^2*k^2-2*x*k^2+6*x^2*k+x*k*A0+x*A2*A0-A2*A0-x^2*A3^2-2*x^2*A2-6*x*k-1/2*x*A0+x*A3^2+5/2*x*A2-x*A1^2+x*A0^2)*dx+1/8*(-2*A2+1+2*k)*(4*x*k^2+4*k*A0+4*k*A2-4*k+4*x*k+2*A0^2-4*x*A3^2+x+2*A2^2-2*A1^2+2*A3^2-2*A2-2*A0+4*A2*A0):  

QA0n2n:= x^2*(x-1)^2*dx^3
+1/2*x*(x-1)*(-2*x*A2+17*x+6*x*k-9+2*A2-2*k)*dx^2
+(-k*A2-31/2*x+3*k-1/2*A2+5/2*A0+65/4*x^2-A0^2+3*x*k*A2-k*A0-2*x^2*k*A2+3*x^2*k^2-2*x*k^2+14*x^2*k+3/2+x*k*A0+x*A2*A0-A2*A0-x^2*A3^2-4*x^2*A2-14*x*k-5/2*x*A0+x*A3^2+9/2*x*A2-x*A1^2+x*A0^2)*dx
-1+3*k*A2-1/2*A3^2*A2+k^2*A2+1/2*k*A3^2-1/2*k*A2^2+45/8*x-11/2*k-5/4*A2-13/4*A0+7/4*A2^2-3*k^2+5/4*A3^2+5/4*A0^2-5/4*A1^2-x*k*A3^2-x*k^2*A2+x*A3^2*A2-3*x*k*A2-1/2*k*A1^2+1/2*k*A0^2+x*k^3+11/2*x*k^2-1/2*A0^2*A2-A2^2*A0+k^2*A0+3*A2*A0+1/2*A1^2*A2+39/4*x*k-5/2*x*A3^2-9/4*x*A2-1/2*A2^3:

PA2p3n:= x^2*(x-1)^2*dx^3+2*x*(2*x-1)*(x-1)*(k+1)*dx^2+(-9/4*x+k+k^2+9/4*x^2-A0^2+1/4-x*k*A2+x^2*k*A2+5*x^2*k^2-5*x*k^2+7*x^2*k+x^2*A3*A2-x^2*k*A3+1/2*x^2*A3-x^2*A3^2-x^2*A2^2-1/2*x^2*A2-7*x*k+x*A3^2+x*A2^2+1/2*x*A2-x*A1^2+x*A0^2-1/2*x*A3+x*k*A3-x*A3*A2)*dx+1/8*(-2*A3+2*k+1)*(2*A2+2*k+1)*(2*k*A3+4*x*k-4*x*k*A3-2*k-2*k*A2+4*x*k*A2+A2-A3+A2^2+A3^2+A0^2-A1^2-2*x*A3^2-2*x*A2^2-2*x*A2+2*x*A3+4*x*A3*A2-2*A3*A2)/(A2-A3+1): 

QA2p3n:= x^2*(x-1)^2*dx^3+2*x*(2*x-1)*(x-1)*(k+2)*dx^2+(-49/4*x+3*k+k^2+49/4*x^2-A0^2+9/4-x*k*A2+x^2*k*A2+5*x^2*k^2-5*x*k^2+19*x^2*k+x^2*A3*A2-x^2*k*A3+5/2*x^2*A3-x^2*A3^2-x^2*A2^2-5/2*x^2*A2-19*x*k+x*A3^2+x*A2^2+5/2*x*A2-x*A1^2+x*A0^2-5/2*x*A3+x*k*A3-x*A3*A2)*dx+1/8*(4*k*A0^2*A2-50*k*A2+34*A3^2*A2-44*k^2*A2+4*k*A3^2+4*k*A2^2+44*k^2*A3+50*k*A3+4*k*A3^2*A2+8*A2^2*A3^2-20*x*A2^3-50*k+25*A2-25*A3+35*A2^2-40*k^2+35*A3^2+9*A0^2-9*A1^2-8*k^3+8*x*k^2*A3^2+8*x*k^2*A2^2+16*x*k^3*A2-16*x*A2^2*A3^2-8*x*k*A2^2-8*x*k*A3^2-8*k^3*A2+88*x*k^2*A2-4*k^2*A2^2-4*k^2*A3^2-68*x*A3^2*A2+100*x*k*A2-4*k*A1^2+4*k*A0^2+4*k*A2^3-8*x*k*A2^3-4*A2^3*A3-4*k^2*A1^2+16*x*k^3+80*x*k^2+10*A0^2*A2-10*A3^3-8*x*k*A3^2*A2+4*k^2*A0^2-4*A2^2*A3*k-4*A3^3*A2+8*k^3*A3+4*A3*A2*A1^2+4*A3*k*A1^2-10*A1^2*A2-4*k*A1^2*A2+100*x*k-70*x*A3^2-70*x*A2^2-50*x*A2-4*A3*k*A0^2+8*k^2*A3*A2-4*k*A3^3+10*A2^3-34*A2^2*A3+50*x*A3+20*x*A3^3-4*A0^2*A3*A2-88*x*k^2*A3-100*x*k*A3+8*x*A2^3*A3+8*x*A3^3*A2-16*x*k^3*A3+8*x*k*A3^3+68*x*A2^2*A3+140*x*A3*A2-70*A3*A2-10*A0^2*A3+10*A1^2*A3+8*x*A2^2*A3*k-16*x*k^2*A3*A2)/(A2-A3+1):    

PA2n3p:= x^2*(x-1)^2*dx^3+2*x*(2*x-1)*(x-1)*(k+1)*dx^2+(-9/4*x+k+k^2+9/4*x^2-A0^2+1/4+x*k*A2-x^2*k*A2+5*x^2*k^2-5*x*k^2+7*x^2*k+x^2*A3*A2+x^2*k*A3-1/2*x^2*A3-x^2*A3^2-x^2*A2^2+1/2*x^2*A2-7*x*k+x*A3^2+x*A2^2-1/2*x*A2-x*A1^2+x*A0^2+1/2*x*A3-x*k*A3-x*A3*A2)*dx+1/8*(2*A3+2*k+1)*(-2*A2+1+2*k)*(2*k*A3-4*x*k-4*x*k*A3+2*k-2*k*A2+4*x*k*A2+A2-A3-A2^2-A3^2-A0^2+A1^2+2*x*A3^2+2*x*A2^2-2*x*A2+2*x*A3-4*x*A3*A2+2*A3*A2)/(A2-1-A3): 

QA2n3p:= x^2*(x-1)^2*dx^3+2*x*(2*x-1)*(x-1)*(k+2)*dx^2+(-49/4*x+3*k+k^2+49/4*x^2-A0^2+9/4+x*k*A2-x^2*k*A2+5*x^2*k^2-5*x*k^2+19*x^2*k+x^2*A3*A2+x^2*k*A3-5/2*x^2*A3-x^2*A3^2-x^2*A2^2+5/2*x^2*A2-19*x*k+x*A3^2+x*A2^2-5/2*x*A2-x*A1^2+x*A0^2+5/2*x*A3-x*k*A3-x*A3*A2)*dx+1/8*(4*k*A0^2*A2-50*k*A2+34*A3^2*A2-44*k^2*A2-4*k*A3^2-4*k*A2^2+44*k^2*A3+50*k*A3+4*k*A3^2*A2-8*A2^2*A3^2-20*x*A2^3+50*k+25*A2-25*A3-35*A2^2+40*k^2-35*A3^2-9*A0^2+9*A1^2+8*k^3-8*x*k^2*A3^2-8*x*k^2*A2^2+16*x*k^3*A2+16*x*A2^2*A3^2+8*x*k*A2^2+8*x*k*A3^2-8*k^3*A2+88*x*k^2*A2+4*k^2*A2^2+4*k^2*A3^2-68*x*A3^2*A2+100*x*k*A2+4*k*A1^2-4*k*A0^2+4*k*A2^3-8*x*k*A2^3+4*A2^3*A3+4*k^2*A1^2-16*x*k^3-80*x*k^2+10*A0^2*A2-10*A3^3-8*x*k*A3^2*A2-4*k^2*A0^2-4*A2^2*A3*k+4*A3^3*A2+8*k^3*A3-4*A3*A2*A1^2+4*A3*k*A1^2-10*A1^2*A2-4*k*A1^2*A2-100*x*k+70*x*A3^2+70*x*A2^2-50*x*A2-4*A3*k*A0^2-8*k^2*A3*A2-4*k*A3^3+10*A2^3-34*A2^2*A3+50*x*A3+20*x*A3^3+4*A0^2*A3*A2-88*x*k^2*A3-100*x*k*A3-8*x*A2^3*A3-8*x*A3^3*A2-16*x*k^3*A3+8*x*k*A3^3+68*x*A2^2*A3-140*x*A3*A2+70*A3*A2-10*A0^2*A3+10*A1^2*A3+8*x*A2^2*A3*k+16*x*k^2*A3*A2)/(A2-1-A3):   

PA2p3p:= x^2*(x-1)^2*dx^3+2*x*(2*x-1)*(x-1)*(k+1)*dx^2+(-9/4*x+k+k^2+9/4*x^2-A0^2+1/4-x*k*A2+x^2*k*A2+5*x^2*k^2-5*x*k^2+7*x^2*k-x^2*A3*A2+x^2*k*A3-1/2*x^2*A3-x^2*A3^2-x^2*A2^2-1/2*x^2*A2-7*x*k+x*A3^2+x*A2^2+1/2*x*A2-x*A1^2+x*A0^2+1/2*x*A3-x*k*A3+x*A3*A2)*dx+1/8*(2*A3+2*k+1)*(2*A2+2*k+1)*(-2*k*A3+4*x*k+4*x*k*A3-2*k-2*k*A2+4*x*k*A2+A2+A3+A2^2+A3^2+A0^2-A1^2-2*x*A3^2-2*x*A2^2-2*x*A2-2*x*A3-4*x*A3*A2+2*A3*A2)/(A2+A3+1):   

QA2p3p:= x^2*(x-1)^2*dx^3+2*x*(2*x-1)*(x-1)*(k+2)*dx^2+(-49/4*x+3*k+k^2+49/4*x^2-A0^2+9/4-x*k*A2+x^2*k*A2+5*x^2*k^2-5*x*k^2+19*x^2*k-x^2*A3*A2+x^2*k*A3-5/2*x^2*A3-x^2*A3^2-x^2*A2^2-5/2*x^2*A2-19*x*k+x*A3^2+x*A2^2+5/2*x*A2-x*A1^2+x*A0^2+5/2*x*A3-x*k*A3+x*A3*A2)*dx+1/8*(4*k*A0^2*A2-50*k*A2+34*A3^2*A2-44*k^2*A2+4*k*A3^2+4*k*A2^2-44*k^2*A3-50*k*A3+4*k*A3^2*A2+8*A2^2*A3^2-20*x*A2^3-50*k+25*A2+25*A3+35*A2^2-40*k^2+35*A3^2+9*A0^2-9*A1^2-8*k^3+8*x*k^2*A3^2+8*x*k^2*A2^2+16*x*k^3*A2-16*x*A2^2*A3^2-8*x*k*A2^2-8*x*k*A3^2-8*k^3*A2+88*x*k^2*A2-4*k^2*A2^2-4*k^2*A3^2-68*x*A3^2*A2+100*x*k*A2-4*k*A1^2+4*k*A0^2+4*k*A2^3-8*x*k*A2^3+4*A2^3*A3-4*k^2*A1^2+16*x*k^3+80*x*k^2+10*A0^2*A2+10*A3^3-8*x*k*A3^2*A2+4*k^2*A0^2+4*A2^2*A3*k+4*A3^3*A2-8*k^3*A3-4*A3*A2*A1^2-4*A3*k*A1^2-10*A1^2*A2-4*k*A1^2*A2+100*x*k-70*x*A3^2-70*x*A2^2-50*x*A2+4*A3*k*A0^2-8*k^2*A3*A2+4*k*A3^3+10*A2^3+34*A2^2*A3-50*x*A3-20*x*A3^3+4*A0^2*A3*A2+88*x*k^2*A3+100*x*k*A3-8*x*A2^3*A3-8*x*A3^3*A2+16*x*k^3*A3-8*x*k*A3^3-68*x*A2^2*A3-140*x*A3*A2+70*A3*A2+10*A0^2*A3-10*A1^2*A3-8*x*A2^2*A3*k+16*x*k^2*A3*A2)/(A2+A3+1):   

PA2n3n:= x^2*(x-1)^2*dx^3+2*x*(2*x-1)*(x-1)*(k+1)*dx^2+(-9/4*x+k+k^2+9/4*x^2-A0^2+1/4+x*k*A2-x^2*k*A2+5*x^2*k^2-5*x*k^2+7*x^2*k-x^2*A3*A2-x^2*k*A3+1/2*x^2*A3-x^2*A3^2-x^2*A2^2+1/2*x^2*A2-7*x*k+x*A3^2+x*A2^2-1/2*x*A2-x*A1^2+x*A0^2-1/2*x*A3+x*k*A3+x*A3*A2)*dx+1/8*(-2*A3+2*k+1)*(-2*A2+1+2*k)*(-2*k*A3-4*x*k+4*x*k*A3+2*k-2*k*A2+4*x*k*A2+A2+A3-A2^2-A3^2-A0^2+A1^2+2*x*A3^2+2*x*A2^2-2*x*A2-2*x*A3+4*x*A3*A2-2*A3*A2)/(A2-1+A3): 

QA2n3n:= x^2*(x-1)^2*dx^3+2*x*(2*x-1)*(x-1)*(k+2)*dx^2+(-49/4*x+3*k+k^2+49/4*x^2-A0^2+9/4+x*k*A2-x^2*k*A2+5*x^2*k^2-5*x*k^2+19*x^2*k-x^2*A3*A2-x^2*k*A3+5/2*x^2*A3-x^2*A3^2-x^2*A2^2+5/2*x^2*A2-19*x*k+x*A3^2+x*A2^2-5/2*x*A2-x*A1^2+x*A0^2-5/2*x*A3+x*k*A3+x*A3*A2)*dx+1/8*(4*k*A0^2*A2-50*k*A2+34*A3^2*A2-44*k^2*A2-4*k*A3^2-4*k*A2^2-44*k^2*A3-50*k*A3+4*k*A3^2*A2-8*A2^2*A3^2-20*x*A2^3+50*k+25*A2+25*A3-35*A2^2+40*k^2-35*A3^2-9*A0^2+9*A1^2+8*k^3-8*x*k^2*A3^2-8*x*k^2*A2^2+16*x*k^3*A2+16*x*A2^2*A3^2+8*x*k*A2^2+8*x*k*A3^2-8*k^3*A2+88*x*k^2*A2+4*k^2*A2^2+4*k^2*A3^2-68*x*A3^2*A2+100*x*k*A2+4*k*A1^2-4*k*A0^2+4*k*A2^3-8*x*k*A2^3-4*A2^3*A3+4*k^2*A1^2-16*x*k^3-80*x*k^2+10*A0^2*A2+10*A3^3-8*x*k*A3^2*A2-4*k^2*A0^2+4*A2^2*A3*k-4*A3^3*A2-8*k^3*A3+4*A3*A2*A1^2-4*A3*k*A1^2-10*A1^2*A2-4*k*A1^2*A2-100*x*k+70*x*A3^2+70*x*A2^2-50*x*A2+4*A3*k*A0^2+8*k^2*A3*A2+4*k*A3^3+10*A2^3+34*A2^2*A3-50*x*A3-20*x*A3^3-4*A0^2*A3*A2+88*x*k^2*A3+100*x*k*A3+8*x*A2^3*A3+8*x*A3^3*A2+16*x*k^3*A3-8*x*k*A3^3-68*x*A2^2*A3+140*x*A3*A2-70*A3*A2+10*A0^2*A3-10*A1^2*A3-8*x*A2^2*A3*k-16*x*k^2*A3*A2)/(A2-1+A3):