{"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F08%2F26%2F000613\" title=\"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(15)\u2015Eisenstein\u306e\u65e2\u7d04\u5224\u5b9a\u6cd5\u518d\u8003 - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","url":"https://randommemory.hatenablog.com/entry/2016/08/26/000613","author_name":"derwind","height":"190","title":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(15)\u2015Eisenstein\u306e\u65e2\u7d04\u5224\u5b9a\u6cd5\u518d\u8003","width":"100%","published":"2016-08-26 00:06:13","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","author_url":"https://blog.hatena.ne.jp/derwind/","blog_url":"https://randommemory.hatenablog.com/","image_url":null,"type":"rich","categories":["math-alg"],"provider_name":"Hatena Blog","version":"1.0","provider_url":"https://hatena.blog","description":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(3)\u2015Eisenstein\u306e\u65e2\u7d04\u5224\u5b9a\u6cd5 - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\u3067\u3048\u3044\u3084\u3068\u3057\u3066\u3044\u305f\u90e8\u5206\u306b\u3064\u3044\u3066\u3002 $\\mathbb{F}_p[X]$ \u3067 $\\bar{a}_n X^n = \\bar{Q}(X)\\bar{R}(X)$\u306e\u6642\u306e\u8b70\u8ad6\u3002 $\\mathbb{F}_p[X]$ \u3067 $\\bar{Q}(X) = \\bar{b}_k X^k + \\cdots + \\bar{b}_1 X + \\bar{b}_0,\\ \\bar{R}(X) = \\bar{c}_\\ell X^\\ell + \\cdots + \\bar{c}_1 X + \\bar{c}_0,$ $\\bar{b}_k \\bar{c\u2026"}