\documentclass[a4j]{jarticle}

\input{style.tex}

%\newcommand{\tilde}[1]{\mbox{\~#1}}

\title{�񎟌`�� (�㐔�w�􉽊w���KII)}
\date{2003�N12��12�� ( Ver 0.01 )}
\author{�I�� �r��}

\begin{document}
\maketitle

\section{�񎟌`��}

�񎟌`���̉��p�ɁA�񎟋Ȑ��Ɠ񎟋Ȗʂ̕��ނ�����B

�s�� $A$ ���тɁA�g��s�� $\tilde{A}$ ���g���Ď��̂悤�ɕ\��������
�Ȑ��Ɠ񎟋Ȗʂ́A $A$, $\tilde{A}$ �̕����ɂ���āA���ނ����B

\[
\tilde{A}[\tilde{x}] = 0
\]

\section{�񎟋Ȑ��̕���}

$A$ �� $\tilde{A}$ �̕����ɂ��A�񎟋Ȑ��̕��ނ͈ȉ��̂悤�ɂȂ�B

\begin{center}
\begin{tabular}{|c|c|c|c|c|c|c|} \hline
No. & rank A & sign A &rank $\tilde{A}$&sign $\tilde{A}$& �}�` & �񎟋Ȑ� \\
\hline
1   &        &        &  3            & (2,1)        & �ȉ~ & �� \\
\cline{1-1}\cline{5-7}
1'  &        & (2,0)  &               & (3,0)        & ��W�� & �~ \\
\cline{1-1}\cline{4-7}
1'' &    2   &        &  2            & (2,0)        & ��_  & �~ \\
\cline{1-1}\cline{3-7}
2   &        & (1,1)  &  3            & (2,1)        & �o�Ȑ� & �� \\
\cline{1-1}\cline{4-7}
3   &        &        &  2            & (1,1)        & �݂��Ɍ����񒼐� & \\
\hline
4   &        &        &  3            & (2,1)        & ������ & �� \\
\cline{1-1}\cline{4-7}
5   &  1     &  (1,0) &  2            & (1,1)        & ���s�ȓ񒼐� & \\
\cline{1-1}\cline{5-7}
5'  &        &        &               & (2,0)        & ��W�� & �~ \\
\cline{1-1}\cline{4-7}
5'' &        &        &  1            & (1,0)        & �꒼�� & �~ \\
\hline
\end{tabular}
\end{center}

\section{�񎟋Ȗʂ̕���}

$A$ �� $\tilde{A}$ �̕����ɂ��A�񎟋Ȗʂ̕��ނ͈ȉ��̂悤�ɂȂ�B

\begin{center}
\begin{tabular}{|c|c|c|c|c|c|c|} \hline
No. & rank A & sign A &rank $\tilde{A}$&sign $\tilde{A}$& �}�` & �񎟋Ȗ� \\
\hline
1   &        &        &     4         &  (3,1)        & �ȉ~�� & �� \\
\cline{1-1}\cline{5-7}
1'  &        & (3,0)  &               &  (4,0)        & ��W�� & �~ \\
\cline{1-1}\cline{4-7}
1'' &    3   &        &     3         &  (3,0)        & ��_   & �~ \\
\cline{1-1}\cline{3-7}
2   &        &        &     4         &  (2,2)        & ��t�o�Ȗ� & ��\\
\cline{1-1}\cline{5-7}
3   &        & (2,1)  &               &  (3,1)        & ��t�o�Ȗ� & ��\\
\cline{1-1}\cline{4-7}
4   &        &        &     3         &  (2,1)        & �ȉ~���� & \\
\hline
5   &        &        &     4         &  (3,1)        & �ȉ~������ & ��\\
\cline{1-1}\cline{4-7}
6   &        & (2,0)  &     3         &  (2,1)        & �ȉ~���� & \\
\cline{1-1}\cline{5-7}
6'   &       &        &               &  (3,0)        & ��W�� & �~ \\
\cline{1-1}\cline{4-7}
6''   &  2   &        &     2         &  (2,0)        & ����   & �~ \\
\cline{1-1}\cline{3-7}
7     &      &        &     4         &  (2,2)        & �o�ȕ����� & �� \\
\cline{1-1}\cline{4-7}
8     &      & (1,1)  &     3         &  (2,1)        & �o�Ȓ��� & \\
\cline{1-1}\cline{4-7}
9     &      &        &     2         &  (1,1)        & �݂Ɍ������񕽖� &\\
\hline
10    &      &        &     3         &  (2,1)        & �������� & \\
\cline{1-1}\cline{4-7}
11    &  1   & (1,0)  &     2         &  (1,1)        & ���s�񕽖� & \\
\cline{1-1}\cline{5-7}
11'    &     &        &               &  (2,0)        & ��W�� & �~ \\
\cline{1-1}\cline{4-7}
11''   &     &        &     1         &  (1,0)        & �ꕽ�� & �~ \\
\hline
\end{tabular}
\end{center}

\end{document}


