Komputeralgebrai algoritmusok J\303\241rai Antal Ezek a programok csak szeml\303\251ltet\303\251sre szolg\303\241lnak.
<Text-field style="Heading 1" layout="Heading 1">1. T<Font encoding="UTF-8">\303\266rt\303\251</Font>net</Text-field>
<Text-field style="Heading 1" layout="Heading 1">2. Algebrai alapok</Text-field>
<Text-field style="Heading 1" layout="Heading 1">3. Norm<Font encoding="UTF-8">\303\241</Font>l form<Font encoding="UTF-8">\303\241</Font>k, reprezent<Font encoding="UTF-8">\303\241ci\303\263</Font></Text-field>
<Text-field style="Heading 1" layout="Heading 1">4. Aritmetika</Text-field>
<Text-field style="Heading 1" layout="Heading 1">5. K<Font encoding="UTF-8">\303\255</Font>nai marad<Font encoding="UTF-8">\303\251</Font>kol<Font encoding="UTF-8">\303\241</Font>s</Text-field>
<Text-field style="Heading 1" layout="Heading 1">6. Newton-iter<Font encoding="UTF-8">\303\241</Font>ci<Font encoding="UTF-8">\303\263</Font>, Hensel-felemel<Font encoding="UTF-8">\303\251</Font>s</Text-field>
<Text-field style="Heading 1" layout="Heading 1">7. Legnagyobb k<Font encoding="UTF-8">\303\266</Font>z<Font encoding="UTF-8">\303\266</Font>s oszt<Font encoding="UTF-8">\303\263</Font></Text-field>
<Text-field style="Heading 1" layout="Heading 1">8. Faktoriz<Font encoding="UTF-8">\303\241</Font>l<Font encoding="UTF-8">\303\241</Font>s</Text-field> restart;
<Text-field style="Heading 2" layout="Heading 2">A 8.1. Algoritmus. </Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn SquareFree:=proc(a,x) local i,out,b,c,y,z,w; i:=1; out:=1; b:=diff(a,x); c:=gcd(a,b); w:=quo(a,c,x); while c<>1 do y:=gcd(w,c); z:=quo(w,y,x); out:=out*z^i; i:=i+1; w:=y; c:=quo(c,y,x); od; out:=out*w^i; end; Zio2JEkiYUc2IkkieEdGJTYpSSJpR0YlSSRvdXRHRiVJImJHRiVJImNHRiVJInlHRiVJInpHRiVJIndHRiVGJUYlQyk+RigiIiI+RilGMT5GKi1JJWRpZmZHJSpwcm90ZWN0ZWRHRiM+RistSSRnY2RHRiU2JEYkRio+Ri4tSSRxdW9HRiU2JUYkRitGJj8oRiVGMUYxRiUwRitGMUMoPkYsLUY5NiRGLkYrPkYtLUY9NiVGLkYsRiY+RikqJkYpRjEpRi1GKEYxPkYoLCZGKEYxRjFGMT5GLkYsPkYrLUY9NiVGK0YsRiY+RikqJkYpRjEpRi5GKEYxRiVGJUYl
<Text-field style="Heading 2" layout="Heading 2">E 8.1. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> a:=x^8-2*x^6+2*x^2-1; LCoqJClJInhHNiIiIikiIiJGKComIiIjRigpRiUiIidGKCEiIiomRipGKClGJUYqRihGKEYoRi0= debug(SquareFree); SquareFree(a,x); SStTcXVhcmVGcmVlRzYi {--> enter SquareFree, args = x^8-2*x^6+2*x^2-1, x IiIi IiIi LCgqJiIiKSIiIilJInhHNiIiIihGJUYlKiYiIzdGJSlGJyIiJkYlISIiKiYiIiVGJUYnRiVGJQ== LCgqJClJInhHNiIiIiUiIiJGKComIiIjRigpRiVGKkYoISIiRihGKA== LCYqJClJInhHNiIiIiUiIiJGKEYoISIi LCYqJClJInhHNiIiIiMiIiJGKEYoISIi LCYqJClJInhHNiIiIiMiIiJGKEYoRig= LCYqJClJInhHNiIiIiMiIiJGKEYoRig= IiIj LCYqJClJInhHNiIiIiMiIiJGKEYoISIi LCYqJClJInhHNiIiIiMiIiJGKEYoISIi LCYqJClJInhHNiIiIiMiIiJGKEYoISIi IiIi LCYqJClJInhHNiIiIiMiIiJGKEYoRig= IiIk LCYqJClJInhHNiIiIiMiIiJGKEYoISIi IiIi KiYsJiokKUkieEc2IiIiIyIiIkYpRilGKUYpKSwmRiRGKUYpISIiIiIkRik= <-- exit SquareFree (now at top level) = (x^2+1)*(x^2-1)^3} KiYsJiokKUkieEc2IiIiIyIiIkYpRilGKUYpKSwmRiRGKUYpISIiIiIkRik= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">A 8.2. Algoritmus. </Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 8.2. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 8.3. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn a:=x^13+1; diff(a,x) mod 13; LCYqJClJInhHNiIiIzgiIiJGKEYoRig= IiIh (x+1)^13 mod 13; expand(%) mod 13; KiQpLCZJInhHNiIiIiJGJ0YnIiM4Ric= LCYqJClJInhHNiIiIzgiIiJGKEYoRig=
<Text-field style="Heading 2" layout="Heading 2">A 8.3. Algoritmus. </Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn SquareFreeFF:=proc(a,x,p) local i,out,b,c,y,z,w;
<Text-field style="Heading 2" layout="Heading 2">E 8.4. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn a:=x^11+2*x^9+2*x^8+x^6+x^5+2*x^3+2*x^2+1; LDIqJClJInhHNiIiIzYiIiJGKComIiIjRigpRiUiIipGKEYoKiZGKkYoKUYlIiIpRihGKCokKUYlIiInRihGKCokKUYlIiImRihGKComRipGKClGJSIiJEYoRigqJkYqRigpRiVGKkYoRihGKEYo ap:=diff(a,x) mod 3; LCoqJClJInhHNiIiIzUiIiIhIiIqJClGJSIiKEYoRigqJClGJSIiJUYoRilGJUYo c:=Gcd(a,ap) mod 3; LCoqJClJInhHNiIiIioiIiJGKCokKUYlIiInRighIiIqJClGJSIiJEYoRihGKEYs
<Text-field style="Heading 2" layout="Heading 2">E 8.5. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 8.6. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field>
<Text-field style="Heading 2" layout="Heading 2">A 8.4. Algoritmus. </Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">A 8.5. Algoritmus. </Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 8.7. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 8.8. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">A 8.6. Algoritmus. </Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 8.9. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 8.10. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 8.11. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 8.12. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 8.13. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">A 8.7. Algoritmus. </Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 8.14. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn a:=x^63+1; LCYqJClJInhHNiIiI2oiIiJGKEYoRig= a1:=Gcd(a,x^2-x) mod 2; a:=Quo(a,a1,x) mod 2; LCZJInhHNiIiIiJGJUYl 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 a2:=Gcd(a,x^4-x) mod 2; a:=Quo(a,a2,x) mod 2; LCgqJClJInhHNiIiIiMiIiJGKEYlRihGKEYo LEwqJClJInhHNiIiI2ciIiJGKCokKUYlIiNkRihGKCokKUYlIiNhRihGKCokKUYlIiNeRihGKCokKUYlIiNbRihGKCokKUYlIiNYRihGKCokKUYlIiNVRihGKCokKUYlIiNSRihGKCokKUYlIiNPRihGKCokKUYlIiNMRihGKCokKUYlIiNJRihGKCokKUYlIiNGRihGKCokKUYlIiNDRihGKCokKUYlIiNARihGKCokKUYlIiM9RihGKCokKUYlIiM6RihGKCokKUYlIiM3RihGKCokKUYlIiIqRihGKCokKUYlIiInRihGKCokKUYlIiIkRihGKEYoRig= a3:=Gcd(a,x^8-x) mod 2; a:=Quo(a,a3,x) mod 2; LDAqJClJInhHNiIiIiciIiJGKCokKUYlIiImRihGKCokKUYlIiIlRihGKCokKUYlIiIkRihGKCokKUYlIiIjRihGKEYlRihGKEYo LFgiIiJGIyokKUkieEc2IiIjNkYjRiMqJClGJiIiJUYjRiMqJClGJiIiJEYjRiNGJkYjKiQpRiYiIzdGI0YjKiQpRiYiIilGI0YjKiQpRiYiIidGI0YjKiQpRiYiIipGI0YjKiQpRiYiI11GI0YjKiQpRiYiI2BGI0YjKiQpRiYiI2FGI0YjKiQpRiYiI15GI0YjKiQpRiYiI0BGI0YjKiQpRiYiI0FGI0YjKiQpRiYiI0NGI0YjKiQpRiYiI0RGI0YjKiQpRiYiI0ZGI0YjKiQpRiYiI0hGI0YjKiQpRiYiI0lGI0YjKiQpRiYiI0tGI0YjKiQpRiYiI0xGI0YjKiQpRiYiI1VGI0YjKiQpRiYiI1ZGI0YjKiQpRiYiI1hGI0YjKiQpRiYiI1lGI0YjKiQpRiYiI1tGI0Yj a4:=Gcd(a,x^16-x) mod 2; a:=Quo(a,a4,x) mod 2; IiIi LFgiIiJGIyokKUkieEc2IiIjNkYjRiMqJClGJiIiJUYjRiMqJClGJiIiJEYjRiNGJkYjKiQpRiYiIzdGI0YjKiQpRiYiIilGI0YjKiQpRiYiIidGI0YjKiQpRiYiIipGI0YjKiQpRiYiI11GI0YjKiQpRiYiI2BGI0YjKiQpRiYiI2FGI0YjKiQpRiYiI15GI0YjKiQpRiYiI0BGI0YjKiQpRiYiI0FGI0YjKiQpRiYiI0NGI0YjKiQpRiYiI0RGI0YjKiQpRiYiI0ZGI0YjKiQpRiYiI0hGI0YjKiQpRiYiI0lGI0YjKiQpRiYiI0tGI0YjKiQpRiYiI0xGI0YjKiQpRiYiI1VGI0YjKiQpRiYiI1ZGI0YjKiQpRiYiI1hGI0YjKiQpRiYiI1lGI0YjKiQpRiYiI1tGI0Yj a5:=Gcd(a,x^32-x) mod 2; a:=Quo(a,a5,x) mod 2; IiIi LFgiIiJGIyokKUkieEc2IiIjNkYjRiMqJClGJiIiJUYjRiMqJClGJiIiJEYjRiNGJkYjKiQpRiYiIzdGI0YjKiQpRiYiIilGI0YjKiQpRiYiIidGI0YjKiQpRiYiIipGI0YjKiQpRiYiI11GI0YjKiQpRiYiI2BGI0YjKiQpRiYiI2FGI0YjKiQpRiYiI15GI0YjKiQpRiYiI0BGI0YjKiQpRiYiI0FGI0YjKiQpRiYiI0NGI0YjKiQpRiYiI0RGI0YjKiQpRiYiI0ZGI0YjKiQpRiYiI0hGI0YjKiQpRiYiI0lGI0YjKiQpRiYiI0tGI0YjKiQpRiYiI0xGI0YjKiQpRiYiI1VGI0YjKiQpRiYiI1ZGI0YjKiQpRiYiI1hGI0YjKiQpRiYiI1lGI0YjKiQpRiYiI1tGI0Yj a6:=Gcd(a,x^64-x) mod 2; a:=Quo(a,a6,x) mod 2; LFgiIiJGIyokKUkieEc2IiIjNkYjRiMqJClGJiIiJUYjRiMqJClGJiIiJEYjRiNGJkYjKiQpRiYiIzdGI0YjKiQpRiYiIilGI0YjKiQpRiYiIidGI0YjKiQpRiYiIipGI0YjKiQpRiYiI11GI0YjKiQpRiYiI2BGI0YjKiQpRiYiI2FGI0YjKiQpRiYiI15GI0YjKiQpRiYiI0BGI0YjKiQpRiYiI0FGI0YjKiQpRiYiI0NGI0YjKiQpRiYiI0RGI0YjKiQpRiYiI0ZGI0YjKiQpRiYiI0hGI0YjKiQpRiYiI0lGI0YjKiQpRiYiI0tGI0YjKiQpRiYiI0xGI0YjKiQpRiYiI1VGI0YjKiQpRiYiI1ZGI0YjKiQpRiYiI1hGI0YjKiQpRiYiI1lGI0YjKiQpRiYiI1tGI0Yj IiIi
<Text-field style="Heading 2" layout="Heading 2">A 8.8. Algoritmus. </Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNilGKy1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC41ZW1GJy8lJmRlcHRoR0Y8LyUqbGluZWJyZWFrR1ElYXV0b0YnRitGN0YrRjdGK0Yr PartialFactorDD:=proc(a,x,p) local aa,L,aaa,w,i; i:=1; w:=x; aa:=a; L:=[]; while i<=degree(aa)/2 do w:=Rem(w^p,aa,x) mod p; aaa:=Gcd(aa,w-x) mod p; L:=[op(L),aaa]; if aaa<>1 then aa:=Quo(aa,aaa,x) mod p: w:=Rem(w,aa,x) mod p; fi; i:=i+1; od; L:=[op(L),aa]; end; Zio2JUkiYUc2IkkieEdGJUkicEdGJTYnSSNhYUdGJUkiTEdGJUkkYWFhR0YlSSJ3R0YlSSJpR0YlRiVGJUMoPkYtIiIiPkYsRiY+RilGJD5GKjciPyhGJUYwRjBGJTFGLSwkKiYjRjAiIiNGMC1JJ2RlZ3JlZUclKnByb3RlY3RlZEc2I0YpRjBGMEMnPkYsLUkkbW9kR0YlNiQtSSRSZW1HNiRGPUkoX3N5c2xpYkdGJTYlKUYsRidGKUYmRic+RistRkI2JC1JJEdjZEdGRjYkRiksJkYsRjBGJiEiIkYnPkYqNyQtSSNvcEdGPTYjRipGK0AkMEYrRjBDJD5GKS1GQjYkLUkkUXVvR0ZGNiVGKUYrRiZGJz5GLC1GQjYkLUZFNiVGLEYpRiZGJz5GLSwmRi1GMEYwRjA+Rio3JEZURilGJUYlRiU=
<Text-field style="Heading 2" layout="Heading 2">E 8.15. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn `mod`:=mods; a:=x^15-1; debug(PartialFactorDD); PartialFactorDD(a,x,11); SSVtb2RzRyUqcHJvdGVjdGVkRw== LCYqJClJInhHNiIiIzoiIiJGKEYoISIi STBQYXJ0aWFsRmFjdG9yRERHNiI= {--> enter PartialFactorDD, args = x^15-1, x, 11 IiIi SSJ4RzYi LCYqJClJInhHNiIiIzoiIiJGKEYoISIi NyI= KiQpSSJ4RzYiIiM2IiIi LCYqJClJInhHNiIiIiYiIiJGKEYoISIi NyMsJiokKUkieEc2IiIiJiIiIkYpRikhIiI= LCgqJClJInhHNiIiIzUiIiJGKCokKUYlIiImRihGKEYoRig= LCYqJClJInhHNiIiIiciIiIhIiJGJUYp IiIj SSJ4RzYi LCgqJClJInhHNiIiIzUiIiJGKCokKUYlIiImRihGKEYoRig= NyQsJiokKUkieEc2IiIiJiIiIkYpRikhIiIsKCokKUYmIiM1RilGKUYkRilGKUYp IiIi IiIh IiIk NyUsJiokKUkieEc2IiIiJiIiIkYpRikhIiIsKCokKUYmIiM1RilGKUYkRilGKUYpRik= <-- exit PartialFactorDD (now at top level) = [x^5-1, x^10+x^5+1, 1]} NyUsJiokKUkieEc2IiIiJiIiIkYpRikhIiIsKCokKUYmIiM1RilGKUYkRilGKUYpRik=
<Text-field style="Heading 2" layout="Heading 2">A 8.9. Algoritmus. </Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNilGKy1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC41ZW1GJy8lJmRlcHRoR0Y8LyUqbGluZWJyZWFrR1ElYXV0b0YnRitGN0YrRjdGK0Yr
<Text-field style="Heading 2" layout="Heading 2">E 8.16. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field>
<Text-field style="Heading 2" layout="Heading 2">E 8.17. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 8.18. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 8.19. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 8.20. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">A 8.10. Algoritmus. </Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 8.21. P<Font encoding="UTF-8">\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 1" layout="Heading 1">9. Egyenletrendszerek</Text-field>
<Text-field style="Heading 1" layout="Heading 1">10. Gr<Font encoding="UTF-8">\303\266bner-b\303\241zisok</Font></Text-field>
<Text-field style="Heading 1" layout="Heading 1">11. Racion<Font encoding="UTF-8">\303\241</Font>lis t<Font encoding="UTF-8">\303\266</Font>rtf<Font encoding="UTF-8">\303\274</Font>ggv<Font encoding="UTF-8">\303\251</Font>nyek integr<Font encoding="UTF-8">\303\241</Font>l<Font encoding="UTF-8">\303\241</Font>sa</Text-field>
<Text-field style="Heading 1" layout="Heading 1">12. A Risch-algoritmus.</Text-field>
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