- 284 名前：現代数学の系譜11 ガロア理論を読む [2012/02/18(土) 11:27:44.53 ]
- >>283 つづき
ちょっと遊んでみると、
(%o22) (x-(a-b)^2)*(x-(b-c)^2)*(x-(c-a)^2)
(%o23) x^3-2*c^2*x^2+2*b*c*x^2+2*a*c*x^2-2*b^2*x^2+2*a*b*x^2-2*a^2*x^2+c^4*x-2*b*c^3*x-2*a*c^3*x+3*b^2*c^2*x+3*a^2*c^2*x-2*b^3*c*x-2*a^3*c*x+b^4*x-2*a*b^3*x+3*a^2*b^2*x-2*a^3*b*x+a^4*x-b^2*c^4+2*a*b*c^4-a^2*c^4+2*b^3*c^3-2*a*b^2*c^3-2*a^2*b*
c^3+2*a^3*c^3-b^4*c^2-2*a*b^3*c^2+6*a^2*b^2*c^2-2*a^3*b*c^2-a^4*c^2+2*a*b^4*c-2*a^2*b^3*c-2*a^3*b^2*c+2*a^4*b*c-a^2*b^4+2*a^3*b^3-a^4*b^2
(%o24) x^3+(-2*c^2+(2*b+2*a)*c-2*b^2+2*a*b-2*a^2)*x^2+(c^4+(-2*b-2*a)*c^3+(3*b^2+3*a^2)*c^2+(-2*b^3-2*a^3)*c+b^4-2*a*b^3+3*a^2*b^2-2*a^3*b+a^4)*x+(-b^2+2*a*b-a^2)*c^4+(2*b^3-2*a*b^2-2*a^2*b+2*a^3)*c^3+
(-b^4-2*a*b^3+6*a^2*b^2-2*a^3*b-a^4)*c^2+(2*a*b^4-2*a^2*b^3-2*a^3*b^2+2*a^4*b)*c-a^2*b^4+2*a^3*b^3-a^4*b^2
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