# Filename=ode8mpl # differential equation: # z8=C0*z0+C1*z1+C2*z2+C3*z3+C4*z4+C5*z5+C6*z6+C7*z7, # where $zk=d^kz/dt^k$. Dt:= (1/4)*(t+2)*(t-1)*(-a3+a1)*(a1-a2)*(-1521-240*a2-240*a3-240*a1-1584*a0-6180*t-6432*a0*t-96*a2*t^4*a0^2-320*a1^2-320*a2^2-320*a3^2-2668*a1*t^2-3420*t^3-9420*t^2-1312*t*a3-1312*a1*t-1312*a2*t-2668*a2*t^2-2668*a3*t^2+8536*a1*a3*t^4+128*a0^2*t^5*a3-10572*t^2*a0+8*a0^2*t^8*a1-8172*a0*t^3-120*t^3*a0^2+352*t^7*a1*a2+60*a0^2*t^7*a1+32*t^8*a1*a2+384*a2*a3+384*a1*a3+384*a1*a2+3*t^8+6848*a2*a3*t^2+136*a3*t^7*a0-240*a2^2*t^7+32*t^8*a1*a3+16*a1*t^8*a0-128*a0*a3-240*t^7*a1^2-16*t^8*a1^2-1932*a1*t^3-10208*t^3*a3^2+688*a3*t^5*a0+1704*t^6*a1*a3+2560*a1*a3*t-512*a3*t*a0-6688*a1^2*t^2+156*a0^2*t^6*a3-128*a1*a0+8*a1*t^8-2304*t*a3^2-16*a3^2*t^8-1460*a3^2*t^6+4784*a1*a2*t^5+1704*a2*t^6*a1+332*a3*t^7+8*a2*t^8-9012*t^4*a3^2+332*a2*t^7+1668*a3*t^6+352*t^7*a2*a3-4744*a2^2*t^5+6848*a1*a3*t^2+352*t^7*a1*a3+1668*a2*t^6+2912*a1*t^5+1668*a1*t^6+332*a1*t^7+1232*a1*t^4-96*a0^2*t^4*a3-192*a2*t^3*a0^2+9876*t^5+128*a2*t^5*a0^2+8*t^8*a3+8*a0^2*t^8*a3-6688*t^2*a3^2-128*a2*a0+8*a2*t^8*a0^2-240*a3^2*t^7+9792*a1*a3*t^3+16*a3*t^8*a0+1232*a2*t^4+2912*a2*t^5-1932*a2*t^3-16*a2^2*t^8+2912*a3*t^5-512*a2*t*a0-320*a2*t^3*a0+688*a2*t^5*a0+136*a1*t^7*a0-9012*t^4*a2^2-9012*t^4*a1^2-6688*t^2*a2^2+8536*a1*a2*t^4-704*a2*t^2*a0-320*a1*t^3*a0+376*a1*t^4*a0-704*a1*t^2*a0-2304*a1^2*t+60*a0^2*t^7*a3-4744*t^5*a3^2-4744*t^5*a1^2-1460*t^6*a1^2+448*a3*t^6*a0+4784*a1*a3*t^5+32*t^8*a2*a3+136*a2*t^7*a0+6848*a2*a1*t^2+156*a0^2*a2*t^6+156*a0^2*a1*t^6+4784*t^5*a2*a3+128*a0^2*t^5*a1+448*a2*t^6*a0-64*a1*t^2*a0^2-512*a1*t*a0+9792*a2*a3*t^3+1704*t^6*a2*a3-1932*a3*t^3-704*a0*t^2*a3-320*a0*t^3*a3+2560*t*a2*a3+2560*t*a1*a2+9792*a2*a1*t^3+8536*t^4*a2*a3-64*a0^2*t^2*a2-64*a0^2*t^2*a3-192*a0^2*t^3*a3-192*a0^2*t^3*a1-96*a0^2*t^4*a1+60*a2*t^7*a0^2-10208*a1^2*t^3+448*a1*t^6*a0+688*a1*t^5*a0+16*a2*t^8*a0+1232*a3*t^4+376*a2*t^4*a0+376*a3*t^4*a0-2304*t*a2^2-10208*a2^2*t^3-1460*a2^2*t^6+3132*t^6+48*a0^4*t^4+12*a0^3*t^8+192*a0^3*t^2+768*a0^3*t^5+108*a0^3*t^7+396*a0^3*t^6-192*a0^2+12*t^8*a0+348*a0^2*t^7+3156*a0^2*t^5+18*a0^2*t^8+7806*t^4+2430*a0^2*t^4+576*a0^3*t^3+864*a0^3*t^4-1464*a0^2*t^2-960*a0^2*t+1644*a0^2*t^6+372*a0*t^7-1284*a0*t^4+2568*t^5*a0+1764*t^6*a0+72*a0^4*t^6+96*a0^4*t^5+24*a0^4*t^7+3*a0^4*t^8-276*t^7)/((t+1)^11*(2*t+1)^7): F:= 16*(t+2)^6*(-1521-240*a2-240*a3-240*a1-1584*a0-6180*t-6432*a0*t-96*a2*t^4*a0^2-320*a1^2-320*a2^2-320*a3^2-2668*a1*t^2-3420*t^3-9420*t^2-1312*t*a3-1312*a1*t-1312*a2*t-2668*a2*t^2-2668*a3*t^2+8536*a1*a3*t^4+128*a0^2*t^5*a3-10572*t^2*a0+8*a0^2*t^8*a1-8172*a0*t^3-120*t^3*a0^2+352*t^7*a1*a2+60*a0^2*t^7*a1+32*t^8*a1*a2+384*a2*a3+384*a1*a3+384*a1*a2+3*t^8+6848*a2*a3*t^2+136*a3*t^7*a0-240*a2^2*t^7+32*t^8*a1*a3+16*a1*t^8*a0-128*a0*a3-240*t^7*a1^2-16*t^8*a1^2-1932*a1*t^3-10208*t^3*a3^2+688*a3*t^5*a0+1704*t^6*a1*a3+2560*a1*a3*t-512*a3*t*a0-6688*a1^2*t^2+156*a0^2*t^6*a3-128*a1*a0+8*a1*t^8-2304*t*a3^2-16*a3^2*t^8-1460*a3^2*t^6+4784*a1*a2*t^5+1704*a2*t^6*a1+332*a3*t^7+8*a2*t^8-9012*t^4*a3^2+332*a2*t^7+1668*a3*t^6+352*t^7*a2*a3-4744*a2^2*t^5+6848*a1*a3*t^2+352*t^7*a1*a3+1668*a2*t^6+2912*a1*t^5+1668*a1*t^6+332*a1*t^7+1232*a1*t^4-96*a0^2*t^4*a3-192*a2*t^3*a0^2+9876*t^5+128*a2*t^5*a0^2+8*t^8*a3+8*a0^2*t^8*a3-6688*t^2*a3^2-128*a2*a0+8*a2*t^8*a0^2-240*a3^2*t^7+9792*a1*a3*t^3+16*a3*t^8*a0+1232*a2*t^4+2912*a2*t^5-1932*a2*t^3-16*a2^2*t^8+2912*a3*t^5-512*a2*t*a0-320*a2*t^3*a0+688*a2*t^5*a0+136*a1*t^7*a0-9012*t^4*a2^2-9012*t^4*a1^2-6688*t^2*a2^2+8536*a1*a2*t^4-704*a2*t^2*a0-320*a1*t^3*a0+376*a1*t^4*a0-704*a1*t^2*a0-2304*a1^2*t+60*a0^2*t^7*a3-4744*t^5*a3^2-4744*t^5*a1^2-1460*t^6*a1^2+448*a3*t^6*a0+4784*a1*a3*t^5+32*t^8*a2*a3+136*a2*t^7*a0+6848*a2*a1*t^2+156*a0^2*a2*t^6+156*a0^2*a1*t^6+4784*t^5*a2*a3+128*a0^2*t^5*a1+448*a2*t^6*a0-64*a1*t^2*a0^2-512*a1*t*a0+9792*a2*a3*t^3+1704*t^6*a2*a3-1932*a3*t^3-704*a0*t^2*a3-320*a0*t^3*a3+2560*t*a2*a3+2560*t*a1*a2+9792*a2*a1*t^3+8536*t^4*a2*a3-64*a0^2*t^2*a2-64*a0^2*t^2*a3-192*a0^2*t^3*a3-192*a0^2*t^3*a1-96*a0^2*t^4*a1+60*a2*t^7*a0^2-10208*a1^2*t^3+448*a1*t^6*a0+688*a1*t^5*a0+16*a2*t^8*a0+1232*a3*t^4+376*a2*t^4*a0+376*a3*t^4*a0-2304*t*a2^2-10208*a2^2*t^3-1460*a2^2*t^6+3132*t^6+48*a0^4*t^4+12*a0^3*t^8+192*a0^3*t^2+768*a0^3*t^5+108*a0^3*t^7+396*a0^3*t^6-192*a0^2+12*t^8*a0+348*a0^2*t^7+3156*a0^2*t^5+18*a0^2*t^8+7806*t^4+2430*a0^2*t^4+576*a0^3*t^3+864*a0^3*t^4-1464*a0^2*t^2-960*a0^2*t+1644*a0^2*t^6+372*a0*t^7-1284*a0*t^4+2568*t^5*a0+1764*t^6*a0+72*a0^4*t^6+96*a0^4*t^5+24*a0^4*t^7+3*a0^4*t^8-276*t^7)*(t-1)^7*(t+1)^6*(2*t+1)^4: C0:= 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C3:= 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