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Text File  |  1991-09-19  |  709b  |  18 lines
  1. {squfof(n)=if(isprime(n),s=n,if(issquare(n),s=isqrt(n),p=smallfact(n)[1,1];
  2. if(p!=n,s=p,if(n%4==1,dd=n;d=isqrt(dd);b=2*((d-1)\2)+1,dd=4*n;d=isqrt(dd);
  3. b=2*(d\2));f=qfr(1,b,(b^2-dd)/4,0.);q=[];lq=0;ii=0;l=isqrt(d);flag=1;
  4. while(flag,f=rhorealnod(f,d);ii=ii+1;a=compo(f,1);
  5. if(ii%2,fl=0,fl=issquare(a));if(fl,as=isqrt(a);j=1;
  6. while((j<=lq)&&fl,fl=(as!=q[j]);
  7. j=j+1);if(as==1,s=0;flag=0,),);if(fl==0,if(abs(a)<=l,q=concat(q,abs(a));
  8. print(q);lq=lq+1,),flag=0;gs=gcd(as,dd);print("i = ",ii);print(f);
  9. gs=gcd(gs,bb=compo(f,2));
  10. if(gs>1,s=gs,g=redrealnod(qfr(as,-bb,as*compo(f,3),0.),d);
  11. fl=1;b=compo(g,2);while(fl,b1=b;g=rhorealnod(g,d);b=compo(g,2);fl=(b1!=b));
  12. a=abs(compo(g,1));if(a%2,,a=a/2);s=a))))));s}
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