lmptop

lmptop(obj)

:: GF(p) ·¸¿ô¿¹à¼°¤Î·¸¿ô¤òÀ°¿ô¤ËÊÑ´¹

return

À°¿ô·¸¿ô¿¹à¼°

obj

GF(p) ·¸¿ô¿¹à¼°

• GF(p) ·¸¿ô¿¹à¼°¤Î·¸¿ô¤òÀ°¿ô¤ËÊÑ´¹¤¹¤ë.
• GF(p) ¤Î¸µ¤Ï, 0 °Ê¾å p ̤Ëþ¤ÎÀ°¿ô¤Çɽ¸½¤µ¤ì¤Æ¤¤¤ë. ¿¹à¼°¤Î³Æ·¸¿ô¤Ï, ¤½¤ÎÃͤòÀ°¿ô¥ª¥Ö¥¸¥§¥¯¥È(¿ô¼±ÊÌ»Ò 0)¤È¤·¤¿¤â¤Î¤Ë ÊÑ´¹¤µ¤ì¤ë.

[0] setmod_ff(pari(nextprime,2^40));
1099511627791
[1] F=simp_ff((x-1)^10);
1*x^10+1099511627781*x^9+45*x^8+1099511627671*x^7+210*x^6
+1099511627539*x^5+210*x^4+1099511627671*x^3+45*x^2+1099511627781*x+1
[2] setmod_ff(547);                 
547
[3] F=simp_ff((x-1)^10);
1*x^10+537*x^9+45*x^8+427*x^7+210*x^6+295*x^5+210*x^4+427*x^3+45*x^2+537*x+1
[4] lmptop(F);
x^10+537*x^9+45*x^8+427*x^7+210*x^6+295*x^5+210*x^4+427*x^3+45*x^2+537*x+1
[5] lmptop(coef(F,1));
537
[6] ntype(@@);
0

»²¾È

section simp_ff

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