何故SageMathを使うべきなのか？その利点と他ソフトとの比較

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      ? bnf=bnfinit(x^2+47)
? idealfactor(bnf,13+x)
    

      [[2,[-1,1]~,1,1,[0,-12;1,-1]],2;[2,[2,1]~,1,1,[1,-12;1,0]],1;[3,[2,2]~,1,1,[0,12;-1,1]],3]
    

      x = polygen(ZZ)
K.<a> = NumberField(x^2+47,'a')
I = K.ideal(13+a)
factor(I)
    

      (Fractional ideal (2, 1/2*a - 1/2)) * (Fractional ideal (2, 1/2*a + 1/2))^2 * (Fractional ideal (3, 1/2*a + 1/2))^3
    

      x = polygen(ZZ)
K.<a> = NumberField(x^2+47,'a')
I = K.ideal(13+a)
F=factor(I)
latex(F)
    

      (\left(2, \frac{1}{2} a - \frac{1}{2}\right)) \cdot (\left(2, \frac{1}{2} a + \frac{1}{2}\right))^{2} \cdot (\left(3, \frac{1}{2} a + \frac{1}{2}\right))^{3}