Helen Perk

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19 years, 20 days

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I have tried to read chapter 15 on parallel programming, and find it very confusing. I have bought a apple computer with 16 core. As the program which I wrote still run very slow, I want to use parallel programming to speed it up.  Should use different processes, or different threads?

I have tried to read chapter 15 on parallel programming, and find it very confusing. I have bought a apple computer with 16 core. As the program which I wrote still run very slow, I want to use parallel programming to speed it up.  Should use different processes, or different threads?

equations.mw


I want to solve these five equations for regular solutions (z[i]≠ 0,∞,z[i]≠z[j]) , or find its resultant as function of z=z[1]. These are not the kind of equations in paper of Carlo DAndrea., where the variables are rather symmetric in each equation.  Here the symmetry is very different

z[1]^10+(z[4]+z[2]+z[5]+z[3])*z[1]^9+(6*z[3]+6*z[5]+6*z[4]+6*z[2]-15)*z[1]^8+(-z[2]*z[3]*z[4]-20+6*z[3]*z[4]+6*z[2]*z[4]-z[2]*z[4]*z[5]-z[3]*z[4]*z[5]-z[2]*z[3]*z[5]+6*z[3]*z[5]+6*z[2]*z[5]+6*z[2]*z[3]+6*z[4]*z[5])*z[1]^7+(-20*z[2]+15*z[3]*z[4]+15*z[2]*z[4]-20*z[3]+15*z[3]*z[5]+15*z[4]*z[5]-20*z[5]+15*z[2]*z[5]-20*z[4]+15*z[2]*z[3]-z[2]*z[3]*z[4]*z[5])*z[1]^6+(15*z[2]*z[3]*z[5]-6*z[2]*z[3]*z[4]*z[5]+15*z[3]*z[4]*z[5]+6-15*z[5]-15*z[2]-15*z[4]+15*z[2]*z[3]*z[4]-15*z[3]+15*z[2]*z[4]*z[5])*z[1]^5+(1-15*z[2]*z[4]+20*z[2]*z[3]*z[4]-15*z[3]*z[5]-15*z[2]*z[3]-15*z[2]*z[5]+20*z[2]*z[3]*z[5]-15*z[3]*z[4]+20*z[2]*z[4]*z[5]-15*z[4]*z[5]+20*z[3]*z[4]*z[5])*z[1]^4+(-6*z[2]*z[5]-6*z[3]*z[5]+20*z[2]*z[3]*z[4]*z[5]+z[5]+z[4]+z[2]-6*z[2]*z[4]-6*z[2]*z[3]-6*z[4]*z[5]+z[3]-6*z[3]*z[4])*z[1]^3+(15*z[2]*z[3]*z[4]*z[5]-6*z[2]*z[3]*z[5]-6*z[3]*z[4]*z[5]-6*z[2]*z[4]*z[5]-6*z[2]*z[3]*z[4])*z[1]^2+(-z[2]*z[3]*z[5]-z[2]*z[4]*z[5]-z[2]*z[3]*z[4]-z[3]*z[4]*z[5])*z[1]-z[2]*z[3]*z[4]*z[5]

 

z[2]^10+(z[1]+z[5]+z[3]+z[4])*z[2]^9+(6*z[4]-15+6*z[5]+6*z[1]+6*z[3])*z[2]^8+(-20+6*z[1]*z[5]+6*z[1]*z[4]-z[1]*z[3]*z[5]+6*z[4]*z[5]+6*z[3]*z[4]-z[3]*z[4]*z[5]-z[1]*z[4]*z[5]+6*z[3]*z[5]-z[1]*z[3]*z[4]+6*z[1]*z[3])*z[2]^7+(-20*z[5]-20*z[3]-20*z[4]+15*z[1]*z[3]-z[1]*z[3]*z[4]*z[5]+15*z[4]*z[5]+15*z[1]*z[4]+15*z[3]*z[5]+15*z[1]*z[5]+15*z[3]*z[4]-20*z[1])*z[2]^6+(-15*z[4]+6-15*z[1]-15*z[5]+15*z[1]*z[3]*z[4]+15*z[1]*z[4]*z[5]-15*z[3]-6*z[1]*z[3]*z[4]*z[5]+15*z[1]*z[3]*z[5]+15*z[3]*z[4]*z[5])*z[2]^5+(20*z[1]*z[3]*z[5]-15*z[3]*z[4]+20*z[3]*z[4]*z[5]+20*z[1]*z[4]*z[5]-15*z[1]*z[4]-15*z[1]*z[3]-15*z[1]*z[5]-15*z[3]*z[5]+1-15*z[4]*z[5]+20*z[1]*z[3]*z[4])*z[2]^4+(z[5]+z[1]-6*z[1]*z[5]+20*z[1]*z[3]*z[4]*z[5]+z[4]-6*z[3]*z[4]-6*z[1]*z[4]-6*z[3]*z[5]-6*z[4]*z[5]+z[3]-6*z[1]*z[3])*z[2]^3+(-6*z[1]*z[4]*z[5]-6*z[1]*z[3]*z[4]-6*z[3]*z[4]*z[5]+15*z[1]*z[3]*z[4]*z[5]-6*z[1]*z[3]*z[5])*z[2]^2+(-z[1]*z[3]*z[4]-z[1]*z[3]*z[5]-z[1]*z[4]*z[5]-z[3]*z[4]*z[5])*z[2]-z[1]*z[3]*z[4]*z[5]

 

z[3]^10+(z[2]+z[1]+z[4]+z[5])*z[3]^9+(6*z[2]+6*z[4]+6*z[1]-15+6*z[5])*z[3]^8+(6*z[2]*z[5]-z[1]*z[4]*z[5]-z[1]*z[2]*z[5]-z[2]*z[4]*z[5]+6*z[1]*z[5]+6*z[4]*z[5]-20+6*z[1]*z[4]+6*z[2]*z[4]+6*z[1]*z[2]-z[1]*z[2]*z[4])*z[3]^7+(-20*z[1]-20*z[2]+15*z[2]*z[4]+15*z[4]*z[5]+15*z[1]*z[4]-20*z[4]+15*z[1]*z[2]-z[1]*z[2]*z[4]*z[5]-20*z[5]+15*z[2]*z[5]+15*z[1]*z[5])*z[3]^6+(-15*z[1]+15*z[1]*z[4]*z[5]+15*z[2]*z[4]*z[5]-15*z[4]+15*z[1]*z[2]*z[5]-6*z[1]*z[2]*z[4]*z[5]-15*z[2]+6-15*z[5]+15*z[1]*z[2]*z[4])*z[3]^5+(20*z[1]*z[2]*z[5]+20*z[2]*z[4]*z[5]-15*z[1]*z[2]-15*z[2]*z[5]-15*z[1]*z[4]+20*z[1]*z[4]*z[5]-15*z[4]*z[5]-15*z[2]*z[4]+1+20*z[1]*z[2]*z[4]-15*z[1]*z[5])*z[3]^4+(-6*z[4]*z[5]+z[2]-6*z[2]*z[4]+z[4]-6*z[1]*z[5]+z[1]+20*z[1]*z[2]*z[4]*z[5]-6*z[2]*z[5]-6*z[1]*z[4]-6*z[1]*z[2]+z[5])*z[3]^3+(-6*z[1]*z[2]*z[5]-6*z[1]*z[2]*z[4]-6*z[2]*z[4]*z[5]-6*z[1]*z[4]*z[5]+15*z[1]*z[2]*z[4]*z[5])*z[3]^2+(-z[1]*z[2]*z[4]-z[1]*z[2]*z[5]-z[1]*z[4]*z[5]-z[2]*z[4]*z[5])*z[3]-z[1]*z[2]*z[4]*z[5]

 

z[4]^10+(z[3]+z[1]+z[2]+z[5])*z[4]^9+(6*z[1]+6*z[2]+6*z[5]-15+6*z[3])*z[4]^8+(6*z[1]*z[2]+6*z[1]*z[5]-20+6*z[2]*z[3]-z[1]*z[2]*z[3]-z[1]*z[2]*z[5]+6*z[3]*z[5]+6*z[2]*z[5]+6*z[1]*z[3]-z[1]*z[3]*z[5]-z[2]*z[3]*z[5])*z[4]^7+(15*z[1]*z[5]+15*z[2]*z[3]-20*z[5]-z[1]*z[2]*z[3]*z[5]-20*z[1]+15*z[2]*z[5]+15*z[1]*z[3]+15*z[3]*z[5]+15*z[1]*z[2]-20*z[2]-20*z[3])*z[4]^6+(-15*z[1]-6*z[1]*z[2]*z[3]*z[5]+15*z[1]*z[2]*z[5]+15*z[2]*z[3]*z[5]+6-15*z[2]+15*z[1]*z[3]*z[5]-15*z[3]+15*z[1]*z[2]*z[3]-15*z[5])*z[4]^5+(1-15*z[2]*z[3]+20*z[1]*z[2]*z[5]-15*z[1]*z[3]+20*z[1]*z[2]*z[3]-15*z[2]*z[5]-15*z[1]*z[2]+20*z[1]*z[3]*z[5]-15*z[3]*z[5]-15*z[1]*z[5]+20*z[2]*z[3]*z[5])*z[4]^4+(z[1]-6*z[2]*z[3]-6*z[1]*z[2]-6*z[2]*z[5]+20*z[1]*z[2]*z[3]*z[5]-6*z[1]*z[3]+z[5]-6*z[1]*z[5]+z[2]-6*z[3]*z[5]+z[3])*z[4]^3+(-6*z[1]*z[2]*z[5]+15*z[1]*z[2]*z[3]*z[5]-6*z[1]*z[2]*z[3]-6*z[1]*z[3]*z[5]-6*z[2]*z[3]*z[5])*z[4]^2+(-z[1]*z[2]*z[3]-z[1]*z[2]*z[5]-z[1]*z[3]*z[5]-z[2]*z[3]*z[5])*z[4]-z[1]*z[2]*z[3]*z[5]

 

z[5]^10+(z[2]+z[1]+z[3]+z[4])*z[5]^9+(-15+6*z[1]+6*z[3]+6*z[2]+6*z[4])*z[5]^8+(-z[1]*z[2]*z[4]-z[1]*z[3]*z[4]+6*z[1]*z[4]+6*z[2]*z[4]+6*z[1]*z[2]-z[2]*z[3]*z[4]-z[1]*z[2]*z[3]+6*z[2]*z[3]+6*z[3]*z[4]+6*z[1]*z[3]-20)*z[5]^7+(15*z[2]*z[3]-z[1]*z[2]*z[3]*z[4]+15*z[1]*z[2]-20*z[4]-20*z[3]+15*z[1]*z[3]+15*z[1]*z[4]-20*z[2]+15*z[3]*z[4]-20*z[1]+15*z[2]*z[4])*z[5]^6+(-6*z[1]*z[2]*z[3]*z[4]-15*z[1]+15*z[1]*z[2]*z[3]-15*z[2]-15*z[4]+15*z[1]*z[2]*z[4]+6-15*z[3]+15*z[2]*z[3]*z[4]+15*z[1]*z[3]*z[4])*z[5]^5+(-15*z[1]*z[2]+1+20*z[1]*z[3]*z[4]-15*z[1]*z[3]+20*z[1]*z[2]*z[3]-15*z[2]*z[3]+20*z[2]*z[3]*z[4]-15*z[2]*z[4]+20*z[1]*z[2]*z[4]-15*z[1]*z[4]-15*z[3]*z[4])*z[5]^4+(z[4]+z[3]-6*z[1]*z[2]-6*z[1]*z[4]+z[1]-6*z[1]*z[3]-6*z[2]*z[3]+z[2]-6*z[2]*z[4]-6*z[3]*z[4]+20*z[1]*z[2]*z[3]*z[4])*z[5]^3+(-6*z[1]*z[2]*z[4]-6*z[1]*z[2]*z[3]-6*z[1]*z[3]*z[4]+15*z[1]*z[2]*z[3]*z[4]-6*z[2]*z[3]*z[4])*z[5]^2+(-z[1]*z[2]*z[3]-z[1]*z[2]*z[4]-z[1]*z[3]*z[4]-z[2]*z[3]*z[4])*z[5]-z[1]*z[2]*z[3]*z[4]

(1)

``


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