初 等 整 数 論 講 義 第 $2$ 版

$\blacktriangleleft$ $3.$ 実二次体  補遺 $\blacktriangleright$

『初等整数論講義 第 $2$ 版』目次へ



数     表

$4.$ 虚  二  次  体

 $\left|m\right|\lt100$ である虚の二次体 $K\left(\sqrt{m}\right)$ の判別式 $d$,類の数 $h$,および主類以外の各類を代表するイデヤル(たいてい最小ノルムのもの)およびその結合の表を掲げる.
  $m$     $d$     $h$    イ デ ヤ ル      類    
  $\begin{array}{l}-1\end{array}$  $\begin{array}{l}-2^2\end{array}$$\begin{array}{l}\hphantom{1}1\end{array}$
  $\begin{array}{l}-2\end{array}$  $\begin{array}{l}-2^3\end{array}$$\begin{array}{l}\hphantom{1}1\end{array}$
  $\begin{array}{l}-3\end{array}$  $\begin{array}{l}-3\end{array}$$\begin{array}{l}\hphantom{1}1\end{array}$
  $\begin{array}{l}-5\end{array}$  $\begin{array}{l}-2^2\hspace{0.7mm}\cdotp5\end{array}$$\begin{array}{l}\hphantom{1}2\end{array}$ $\begin{array}{l}\left[2,\ 1+\sqrt{-5}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\end{array}$
  $\begin{array}{l}-6\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp3\end{array}$$\begin{array}{l}\hphantom{1}2\end{array}$ $\begin{array}{l}\left[2,\ \sqrt{-6}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\end{array}$
  $\begin{array}{l}-7\end{array}$  $\begin{array}{l}-7\end{array}$$\begin{array}{l}\hphantom{1}1\end{array}$
  $\begin{array}{l}-10\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp5\end{array}$$\begin{array}{l}\hphantom{1}2\end{array}$ $\begin{array}{l}\left[2,\ \sqrt{-10}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\end{array}$
  $\begin{array}{l}-11\end{array}$  $\begin{array}{l}-11\end{array}$$\begin{array}{l}\hphantom{1}1\end{array}$
  $\begin{array}{l}-13\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp13\end{array}$$\begin{array}{l}\hphantom{1}2\end{array}$ $\begin{array}{l}\left[2,\ 1+\sqrt{-13}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\end{array}$
  $\begin{array}{l}-14\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp7\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[3,\ \pm1+\sqrt{-14}\right]\\[2mm]\left[2,\ \sqrt{-14}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^3\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-15\end{array}$  $\begin{array}{l}-3\hspace{0.7mm}\cdotp5\end{array}$$\begin{array}{l}\hphantom{1}2\end{array}$ $\begin{array}{l}\left[2,\ \dfrac{1+\sqrt{-15}}{2}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\end{array}$
  $\begin{array}{l}-17\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^2\hspace{0.7mm}\cdotp17\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[3,\ \pm1+\sqrt{-17}\right]\\[2mm]\left[2,\ 1+\sqrt{-17}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^3\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-19\end{array}$  $\begin{array}{l}-19\end{array}$$\begin{array}{l}\hphantom{1}1\end{array}$

  $m$     $d$     $h$    イ デ ヤ ル      類    
  $\begin{array}{l}-21\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^2\hspace{0.7mm}\cdotp3\hspace{0.7mm}\cdotp7\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[2,\ 1+\sqrt{-21}\right]\\[2mm]\left[3,\ \sqrt{-21}\right]\\[2mm]\left[5,\ 2+\sqrt{-21}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{AB}\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-22\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp11\end{array}$$\begin{array}{l}\hphantom{1}2\end{array}$ $\begin{array}{l}\left[2,\ \sqrt{-22}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\end{array}$
  $\begin{array}{l}-23\end{array}$  $\begin{array}{l}-23\end{array}$$\begin{array}{l}\hphantom{1}3\end{array}$ $\begin{array}{l}\left[2,\ \dfrac{\pm1+\sqrt{-23}}{2}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^2\end{array}$
  $\begin{array}{l}-26\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp13\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}6\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[5,\ \pm2+\sqrt{-26}\right]\\[2mm]\left[3,\ \mp1+\sqrt{-26}\right]\\[2mm]\left[2,\ \sqrt{-26}\right]\end{array}$  $\begin{alignat*}{2}&\mathrm{A},&\hphantom{\mathrm{A}}&\mathrm{A}^5\vphantom{\left[\sqrt{1}\right]}\\[2mm]&\mathrm{A}^2,&&\mathrm{A}^4\vphantom{\left[\sqrt{1}\right]}\\[2mm]&\mathrm{A}^3\vphantom{\left[\sqrt{1}\right]}&&\end{alignat*}$
  $\begin{array}{l}-29\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^2\hspace{0.7mm}\cdotp29\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}6\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[3,\ \pm1+\sqrt{-29}\right]\\[2mm]\left[5,\ \pm1+\sqrt{-29}\right]\\[2mm]\left[2,\ 1+\sqrt{-29}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^5\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2,\hphantom{\mathrm{A}}\mathrm{A}^4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^3\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-30\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp3\hspace{0.7mm}\cdotp5\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[2,\ \sqrt{-30}\right]\\[2mm]\left[3,\ \sqrt{-30}\right]\\[2mm]\left[5,\ \sqrt{-30}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{AB}\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-31\end{array}$  $\begin{array}{l}-31\end{array}$$\hphantom{1}3$ $\left[2,\ \dfrac{\pm3+\sqrt{-31}}{2}\right]$  $\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^2$
  $\begin{array}{l}-33\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp3\hspace{0.7mm}\cdotp11\\[2mm]\vphantom{\left[\sqrt{1}\right]}\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\hphantom{1}4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[2,\ 1+\sqrt{-33}\right]\\[2mm]\left[3,\ \sqrt{-33}\right]\\[2mm]\left[6,\ 3+\sqrt{-33}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{AB}\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-34\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp17\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[5,\ \pm1+\sqrt{-34}\right]\\[2mm]\left[2,\ \sqrt{-34}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^3\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-35\end{array}$  $\begin{array}{l}-5\hspace{0.7mm}\cdotp7\end{array}$$\begin{array}{l}\hphantom{1}2\end{array}$ $\begin{array}{l}\left[5,\ \sqrt{-35}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\end{array}$

  $m$     $d$     $h$    イ デ ヤ ル      類    
  $\begin{array}{l}-37\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp37\end{array}$$\begin{array}{l}\hphantom{1}2\end{array}$ $\begin{array}{l}\left[2,\ 1+\sqrt{-37}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\end{array}$
  $\begin{array}{l}-38\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp19\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}6\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[3,\ \pm1+\sqrt{-38}\right]\\[2mm]\left[6,\ \pm2+\sqrt{-38}\right]\\[2mm]\left[2,\ \sqrt{-38}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^5\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2,\hphantom{\mathrm{A}}\mathrm{A}^4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^3\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-39\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-3\hspace{0.7mm}\cdotp13\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[2,\ \dfrac{\pm1+\sqrt{-39}}{2}\right]\\[2mm]\left[3,\ \sqrt{-39}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^3\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\mathrm{A}^2\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-41\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^2\hspace{0.7mm}\cdotp41\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}8\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[3,\ \pm1+\sqrt{-41}\right]\\[2mm]\left[5,\ \pm2+\sqrt{-41}\right]\\[2mm]\left[7,\ \pm1+\sqrt{-41}\right]\\[2mm]\left[2,\ 1+\sqrt{-41}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^7\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2,\hphantom{\mathrm{A}}\mathrm{A}^6\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^3,\hphantom{\mathrm{A}}\mathrm{A}^5\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^4\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-42\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp3\hspace{0.7mm}\cdotp7\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\hphantom{1}4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[2,\ \sqrt{-42}\right]\\[2mm]\left[3,\ \sqrt{-42}\right]\\[2mm]\left[6,\ \sqrt{-42}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{AB}\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-43\end{array}$  $\begin{array}{l}-43\end{array}$$\begin{array}{l}\hphantom{1}1\end{array}$
  $\begin{array}{l}-46\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp23\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[5,\ \pm2+\sqrt{-46}\right]\\[2mm]\left[2,\ \sqrt{-46}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^3\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-47\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$  $\begin{array}{l}-47\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$$\begin{array}{l}\hphantom{1}5\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$ $\begin{array}{l}\left[2,\ \dfrac{\pm1+\sqrt{-47}}{2}\right]\\[2mm]\left[3,\ \dfrac{\mp1+\sqrt{-47}}{2}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^4\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\mathrm{A}^2,\hphantom{\mathrm{A}}\mathrm{A}^3\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$
  $\begin{array}{l}-51\end{array}$  $\begin{array}{l}-3\hspace{0.7mm}\cdotp17\end{array}$$\begin{array}{l}\hphantom{1}2\end{array}$ $\begin{array}{l}\left[3,\ \sqrt{-51}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\end{array}$

  $m$     $d$     $h$    イ デ ヤ ル      類    
  $\begin{array}{l}-53\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^2\hspace{0.7mm}\cdotp53\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}6\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[3,\ \pm1+\sqrt{-53}\right]\\[2mm]\left[6,\ \mp1+\sqrt{-53}\right]\\[2mm]\left[2,\ 1+\sqrt{-53}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^5\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2,\hphantom{\mathrm{A}}\mathrm{A}^4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^3\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-55\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$  $\begin{array}{l}-5\hspace{0.7mm}\cdotp11\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$$\begin{array}{l}\hphantom{1}4\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$ $\begin{array}{l}\left[2,\ \dfrac{\pm1+\sqrt{-55}}{2}\right]\\[2mm]\left[4,\ \dfrac{3+\sqrt{-55}}{2}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^3\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\mathrm{A}^2\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$
  $\begin{array}{l}-57\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^2\hspace{0.7mm}\cdotp3\hspace{0.7mm}\cdotp19\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[2,\ 1+\sqrt{-57}\right]\\[2mm]\left[3,\ \sqrt{-57}\right]\\[2mm]\left[6,\ 3+\sqrt{-57}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{AB}\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-58\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp29\end{array}$$\begin{array}{l}\hphantom{1}2\end{array}$ $\begin{array}{l}\left[2,\ \sqrt{-58}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\end{array}$
  $\begin{array}{l}-59\end{array}$  $\begin{array}{l}-59\end{array}$$\begin{array}{l}\hphantom{1}3\end{array}$ $\begin{array}{l}\left[3,\ \dfrac{\pm1+\sqrt{-59}}{2}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^2\end{array}$
  $\begin{array}{l}-61\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^2\hspace{0.7mm}\cdotp61\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}6\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[7,\ \pm3+\sqrt{-61}\right]\\[2mm]\left[5,\ \mp2+\sqrt{-61}\right]\\[2mm]\left[2,\ 1+\sqrt{-61}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^5\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2,\hphantom{\mathrm{A}}\mathrm{A}^4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^3\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-62\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp31\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}8\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[3,\ \pm1+\sqrt{-62}\right]\\[2mm]\left[7,\ \mp1+\sqrt{-62}\right]\\[2mm]\left[6,\ \pm2+\sqrt{-62}\right]\\[2mm]\left[6,\ \sqrt{-62}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^7\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2,\hphantom{\mathrm{A}}\mathrm{A}^6\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^3,\hphantom{\mathrm{A}}\mathrm{A}^5\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^4\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-65\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^2\hspace{0.7mm}\cdotp5\hspace{0.7mm}\cdotp13\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\hphantom{1}8\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[3,\ \pm1+\sqrt{-65}\right]\\[2mm]\left[9,\ 4+\sqrt{-65}\right]\\[2mm]\left[2,\ 1+\sqrt{-65}\right]\\[2mm]\left[6,\ \pm1+\sqrt{-65}\right]\\[2mm]\left[5,\ \sqrt{-65}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^3\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{AB},\hphantom{\mathrm{A}}\mathrm{A}^3\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2\mathrm{B}\end{array}$

  $m$     $d$     $h$    イ デ ヤ ル      類    
  $\begin{array}{l}-66\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp3\hspace{0.7mm}\cdotp11\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}8\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[5,\ \pm2+\sqrt{-66}\right]\\[2mm]\left[3,\ \sqrt{-66}\right]\\[2mm]\left[2,\ \sqrt{-66}\right]\\[2mm]\left[7,\ \mp2+\sqrt{-66}\right]\\[2mm]\left[6,\ \sqrt{-66}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^3\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{AB},\hphantom{\mathrm{A}}\mathrm{A}^3\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-67\end{array}$  $\begin{array}{l}-67\end{array}$$\begin{array}{l}\hphantom{1}1\end{array}$
  $\begin{array}{l}-69\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^2\hspace{0.7mm}\cdotp3\hspace{0.7mm}\cdotp23\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\hphantom{1}8\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[5,\ \pm1+\sqrt{-69}\right]\\[2mm]\left[6,\ 3+\sqrt{-69}\right]\\[2mm]\left[2,\ 1+\sqrt{-69}\right]\\[2mm]\left[7,\ \mp1+\sqrt{-69}\right]\\[2mm]\left[3,\ \sqrt{-69}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^3\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{AB},\hphantom{\mathrm{A}}\mathrm{A}^3\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-70\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp5\hspace{0.7mm}\cdotp7\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[2,\ \sqrt{-70}\right]\\[2mm]\left[5,\ \sqrt{-70}\right]\\[2mm]\left[7,\ \sqrt{-70}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{AB}\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-71\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$  $\begin{array}{l}-71\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$$\begin{array}{l}\hphantom{1}7\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$ $\begin{array}{l}\left[2,\ \dfrac{\pm1+\sqrt{-71}}{2}\right]\\[2mm]\left[4,\ \dfrac{\mp3+\sqrt{-71}}{2}\right]\\[2mm]\left[3,\ \dfrac{\mp1+\sqrt{-71}}{2}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^6\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\mathrm{A}^2,\hphantom{\mathrm{A}}\mathrm{A}^5\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\mathrm{A}^3,\hphantom{\mathrm{A}}\mathrm{A}^4\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$
  $\begin{array}{l}-73\\[2mm]\ \end{array}$  $\begin{array}{l}-2^2\hspace{0.7mm}\cdotp73\\[2mm]\ \end{array}$$\begin{array}{l}\hphantom{1}4\\[2mm]\ \end{array}$ $\begin{array}{l}\left[7,\ \pm2+\sqrt{-73}\right]\\[2mm]\left[2,\ 1+\sqrt{-73}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^3\\[2mm]\mathrm{A}^2\end{array}$
  $\begin{array}{l}-74\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp37\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}10\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[3,\ \pm1+\sqrt{-74}\right]\\[2mm]\left[9,\ \pm4+\sqrt{-74}\right]\\[2mm]\left[2,\ \sqrt{-74}\right]\\[2mm]\left[6,\ \mp2+\sqrt{-74}\right]\\[2mm]\left[5,\ \pm1+\sqrt{-74}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2,\hphantom{\mathrm{A}}\mathrm{A}^3\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{B}\\[2mm]\mathrm{AB},\hphantom{\mathrm{A}}\mathrm{A}^4\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2\mathrm{B},\hphantom{\mathrm{A}}\mathrm{A}^3\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\end{array}$

  $m$     $d$     $h$    イ デ ヤ ル      類    
  $\begin{array}{l}-77\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^2\hspace{0.7mm}\cdotp7\hspace{0.7mm}\cdotp11\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}8\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[3,\ \pm1+\sqrt{-77}\right]\\[2mm]\left[9,\ -2+\sqrt{-77}\right]\\[2mm]\left[2,\ 1+\sqrt{-77}\right]\\[2mm]\left[6,\ \pm1+\sqrt{-77}\right]\\[2mm]\left[7,\ \sqrt{-77}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^3\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{AB},\hphantom{\mathrm{A}}\mathrm{A}^3\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-78\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp3\hspace{0.7mm}\cdotp13\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[2,\ \sqrt{-78}\right]\\[2mm]\left[3,\ \sqrt{-78}\right]\\[2mm]\left[6,\ \sqrt{-78}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{AB}\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-79\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$  $\begin{array}{l}-79\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$$\begin{array}{l}\hphantom{1}5\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$ $\begin{array}{l}\left[2,\ \dfrac{\pm1+\sqrt{-79}}{2}\right]\\[2mm]\left[4,\ \dfrac{\pm1+\sqrt{-79}}{2}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^4\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\mathrm{A}^2,\hphantom{\mathrm{A}}\mathrm{A}^3\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$
  $\begin{array}{l}-82\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp41\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[7,\ \pm3+\sqrt{-82}\right]\\[2mm]\left[2,\ \sqrt{-82}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^3\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-83\end{array}$  $\begin{array}{l}-83\end{array}$$\begin{array}{l}\hphantom{1}3\end{array}$ $\begin{array}{l}\left[3,\ \dfrac{\pm1+\sqrt{-83}}{2}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^2\end{array}$
  $\begin{array}{l}-85\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^2\hspace{0.7mm}\cdotp5\hspace{0.7mm}\cdotp17\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\hphantom{1}4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[2,\ 1+\sqrt{-85}\right]\\[2mm]\left[5,\ \sqrt{-85}\right]\\[2mm]\left[10,\ 5+\sqrt{-85}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{AB}\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-86\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp43\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}\hphantom{1}10\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[3,\ \pm1+\sqrt{-86}\right]\\[2mm]\left[9,\ \mp2+\sqrt{-86}\right]\\[2mm]\left[5,\ \mp2+\sqrt{-86}\right]\\[2mm]\left[6,\ \pm2+\sqrt{-86}\right]\\[2mm]\left[2,\ \sqrt{-86}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^9\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2,\hphantom{\mathrm{A}}\mathrm{A}^8\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^3,\hphantom{\mathrm{A}}\mathrm{A}^7\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^4,\hphantom{\mathrm{A}}\mathrm{A}^6\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^5\vphantom{\left[\sqrt{1}\right]}\end{array}$

  $m$     $d$     $h$    イ デ ヤ ル      類    
  $\begin{array}{l}-87\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$  $\begin{array}{l}-3\hspace{0.7mm}\cdotp29\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$$\begin{array}{l}\hphantom{1}6\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$ $\begin{array}{l}\left[2,\ \dfrac{\pm1+\sqrt{-87}}{2}\right]\\[2mm]\left[4,\ \dfrac{\mp3+\sqrt{-87}}{2}\right]\\[2mm]\left[3,\ \dfrac{3+\sqrt{-87}}{2}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^5\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\mathrm{A}^2,\hphantom{\mathrm{A}}\mathrm{A}^4\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\mathrm{A}^3\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$
  $\begin{array}{l}-89\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^2\hspace{0.7mm}\cdotp89\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}12\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[3,\ \pm1+\sqrt{-89}\right]\\[2mm]\left[9,\ \pm1+\sqrt{-89}\right]\\[2mm]\left[7,\ \mp3+\sqrt{-89}\right]\\[2mm]\left[5,\ \pm1+\sqrt{-89}\right]\\[2mm]\left[6,\ \mp1\sqrt{-89}\right]\\[2mm]\left[2,\ 1+\sqrt{-89}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^{11}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2,\hphantom{\mathrm{A}}\mathrm{A}^{10}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^3,\hphantom{\mathrm{A}}\mathrm{A}^9\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^4,\hphantom{\mathrm{A}}\mathrm{A}^8\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^5,\hphantom{\mathrm{A}}\mathrm{A}^7\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^6\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-91\end{array}$  $\begin{array}{l}-7\hspace{0.7mm}\cdotp13\end{array}$$\begin{array}{l}\hphantom{1}2\end{array}$ $\begin{array}{l}\left[7,\ \sqrt{-91}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\end{array}$
  $\begin{array}{l}-93\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^2\hspace{0.7mm}\cdotp3\hspace{0.7mm}\cdotp31\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\hphantom{1}4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[2,\ 1+\sqrt{-93}\right]\\[2mm]\left[3,\ \sqrt{-93}\right]\\[2mm]\left[6,\ 3+\sqrt{-93}\right]\end{array}$  $\begin{array}{l}\mathrm{A}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{B}\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{AB}\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-94\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^3\hspace{0.7mm}\cdotp47\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}8\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[5,\ \pm1+\sqrt{-94}\right]\\[2mm]\left[7,\ \pm2+\sqrt{-94}\right]\\[2mm]\left[10,\ \pm4+\sqrt{-94}\right]\\[2mm]\left[2,\ \sqrt{-94}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^7\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2,\hphantom{\mathrm{A}}\mathrm{A}^6\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^3,\hphantom{\mathrm{A}}\mathrm{A}^5\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^4\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-95\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$  $\begin{array}{l}-5\hspace{0.7mm}\cdotp19\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$$\begin{array}{l}8\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\ \vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\end{array}$ $\begin{array}{l}\left[2,\ \dfrac{\pm1+\sqrt{-95}}{2}\right]\\[2mm]\left[4,\ \dfrac{\pm1+\sqrt{-95}}{2}\right]\\[2mm]\left[3,\ \dfrac{\mp1+\sqrt{-95}}{2}\right]\\[2mm]\left[5,\ \sqrt{-95}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^7\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\mathrm{A}^2,\hphantom{\mathrm{A}}\mathrm{A}^6\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\mathrm{A}^3,\hphantom{\mathrm{A}}\mathrm{A}^5\vphantom{\left[\dfrac{\sqrt{1}}{2}\right]}\\[2mm]\mathrm{A}^4\vphantom{\left[\sqrt{1}\right]}\end{array}$
  $\begin{array}{l}-97\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$  $\begin{array}{l}-2^2\hspace{0.7mm}\cdotp97\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$$\begin{array}{l}4\vphantom{\left[\sqrt{1}\right]}\\[2mm]\ \vphantom{\left[\sqrt{1}\right]}\end{array}$ $\begin{array}{l}\left[7,\ \pm1+\sqrt{-97}\right]\\[2mm]\left[2,\ 1+\sqrt{-97}\right]\end{array}$  $\begin{array}{l}\mathrm{A},\hphantom{\mathrm{A}}\mathrm{A}^3\vphantom{\left[\sqrt{1}\right]}\\[2mm]\mathrm{A}^2\vphantom{\left[\sqrt{1}\right]}\end{array}$






$\blacktriangleleft$ $3.$ 実二次体  補遺 $\blacktriangleright$

『初等整数論講義 第 $2$ 版』目次へ


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