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9.4.10 asq, af, af_noalg

asq(poly)
:: 代数体上の 1 変数多項式の無平方分解
af(poly,alglist)
af_noalg(poly,defpolylist)
:: 代数体上の 1 変数多項式の因数分解

return
リスト
poly
多項式
alglist
root のリスト
defpolylist
root を表す不定元と定義多項式のペアのリスト

 
[98] A = newalg(t^2-2);
(#0)
[99] asq(-x^4+6*x^3+(2*alg(0)-9)*x^2+(-6*alg(0))*x-2);
[[-x^2+3*x+(#0),2]]
[100] af(-x^2+3*x+alg(0),[alg(0)]);
[[x+(#0-1),1],[-x+(#0+2),1]]
[101] af_noalg(-x^2+3*x+a,[[a,x^2-2]]);
[[x+a-1,1],[-x+a+2,1]]

参照
9.4.8 cr_gcda, 6.3.15 fctr, sqfr



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