version 1.3, 2002/12/09 02:09:23 |
version 1.4, 2002/12/09 04:23:05 |
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% $OpenXM: OpenXM/doc/Papers/rims-2002-noro-ja.tex,v 1.2 2002/12/06 09:23:42 noro Exp $ |
% $OpenXM: OpenXM/doc/Papers/rims-2002-noro-ja.tex,v 1.3 2002/12/09 02:09:23 noro Exp $ |
\documentclass[theorem]{jarticle} |
\documentclass[theorem]{jarticle} |
%\usepackage{jssac} |
%\usepackage{jssac} |
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\topmargin -0.5in |
%\oddsidemargin -0.25in |
\oddsidemargin 0in |
%\evensidemargin -0.25in |
\evensidemargin 0in |
% |
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%\textwidth 7in |
\textwidth 6in |
%\textheight 9in |
\textheight 9in |
%\columnsep 0.33in |
\columnsep 0.33in |
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\def\HT{{\rm HT}} |
\def\HT{{\rm HT}} |
\def\HC{{\rm HC}} |
\def\HC{{\rm HC}} |
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\def\GF{{\rm GF}} |
\def\GCD{{\rm GCD}} |
\def\GCD{{\rm GCD}} |
\def\tdeg{{\rm tdeg}} |
\def\tdeg{{\rm tdeg}} |
\def\pp{{\rm pp}} |
\def\pp{{\rm pp}} |
Line 281 Hensel $B9=@.$K$*$$$F$O(B, $K[y]/(y^d)$ $B$r(B, $ |
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Line 282 Hensel $B9=@.$K$*$$$F$O(B, $K[y]/(y^d)$ $B$r(B, $ |
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$BI.<T$NCN$kM#0l$N$b$N$O(B Maple $B$J$N$G(B, Maple $B$HHf3S$r9T$&(B. Maple $B$O(B, |
$BI.<T$NCN$kM#0l$N$b$N$O(B Maple $B$J$N$G(B, Maple $B$HHf3S$r9T$&(B. Maple $B$O(B, |
$B$3$N5!G=$K4X$7$F$O(B, kernel $B$K$*$$$F@lMQ$NFC<l$J%G!<%?7?$rB?MQ$7$F(B |
$B$3$N5!G=$K4X$7$F$O(B, kernel $B$K$*$$$F@lMQ$NFC<l$J%G!<%?7?$rB?MQ$7$F(B |
$B8zN($r>e$2$F$$$k$?$a(B, $BHf3S$9$k$3$H$O%"%s%U%'%"$G$O$J$$$H9M$($k(B. |
$B8zN($r>e$2$F$$$k$?$a(B, $BHf3S$9$k$3$H$O%"%s%U%'%"$G$O$J$$$H9M$($k(B. |
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$BNc$H$7$F$O(B, P.S. Wang $B$K$h$k(B, $B<g78?tLdBj$r5/$3$7$d$9$$B?9`<0$N(B |
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$BNc(B (Asir $B$N(B {\tt lib/fctrdata} $B$N(B {\tt Wang[1]} $B$+$i(B |
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{\tt Wang[15]} $B$rMQ$$$?(B. $B%^%7%s$O(B Athlon 1900+ $B$GC10L$OIC(B, |
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$p$ $B$O(B, $B4pACBN$NI8?t$rI=$9(B. $BI=$G(B $N$ $B$O(B 60 $BICBT$C$F$bEz$($,(B |
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$B$G$J$$$b$N(B, $F$ $B$O(B, Maple $B$,2?$i$+$NM}M3$G%(%i!<$r=P$7$F(B |
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$B7W;;$G$-$J$+$C$?$b$N$rI=$9(B. Asir $B$K$*$$$F(B $p(n)$ $B$O(B, $n$ $B<!3HBg(B, |
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$B$9$J$o$A(B $\GF(p^n)$ $B>e$G0x?tJ,2r$r9T$C$?$3$H$r<($9(B. 8 $BHV$NB?9`<0(B |
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$B$N$h$&$KNc30E*$K;~4V$,$+$+$k$b$N$O$"$k$,(B, $B$*$*$`$M(B, Asir $B$,(B |
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$BNI9%$J%Q%U%)!<%^%s%9$r<($7$F$$$k(B. |
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\begin{table}[hbtp] |
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\begin{center} |
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% & & & & & & & & & & & & & & & \\ \hline |
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{\normalsize |
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\begin{tabular}{c|ccccccccc} \hline |
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$p$ & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline |
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2 & N & F & F & F & N & N & 0.01 & 1 & 0.01 \\ \hline |
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3 & 0.07 & 0.1 & 0.07 & N & 0.4 & N & 0.01 & 0.02 & 0.06 \\ \hline |
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5 & N & 0.05 & 0.08 & 3.5 & 0.2 & 0.4 & 0.01 & 0.6 & 0.1 \\ \hline |
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7 & 0.08 & 0.1 & 0.1 & 0.25 & 0.6 & 0.5 & 0.02 & 1 & F \\ \hline |
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\end{tabular} |
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\begin{tabular}{c|cccccc} \hline |
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$p$ & 10 & 11 & 12 & 13 & 14 & 15 \\ \hline |
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2 & F & N & 0.005 & 0.006 & 0.008 & F \\ \hline |
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3 & 4 & N & 0.004 & 0.007 & 0.14 & 0.02 \\ \hline |
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5 & 0.2 & F & 0.005 & 0.006 & 0.03 & 0.4 \\ \hline |
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7 & 0.6 & 14 & 0.005 & 0.16 & 0.04 & 0.6 \\ \hline |
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\end{tabular} |
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\begin{tabular}{c|ccccccccc} \hline |
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$p$ & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline |
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547 & 0.2& 0.2& 0.1& 0.3& 1& 1.2& 0.02& 6& F\\ \hline |
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32003& 0.2& 0.2& 0.2& 0.4 & 1 & 1 & 0.02 & 4.2 & F \\ \hline |
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99981793 & 0.5 & 0.6 & 0.5 & 3 & 3 & 4.5 & 0.02 & N & F\\ \hline |
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\end{tabular} |
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\begin{tabular}{c|cccccc} \hline |
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$p$ & 10 & 11 & 12 & 13 & 14 & 15 \\ \hline |
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547 & 0.9 &3.3 & 0.005 & 0.2 & 0.1 & 0.4 \\ \hline |
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32003 & 1.8 & 4.9 &0.006 & 0.3 & 0.1 & 0.4 \\ \hline |
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99981793 & 2.6 & 11 & 0.006 & 0.9 & 0.5 & 1.4 \\ \hline |
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\end{tabular} |
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} |
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\end{center} |
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\caption{$B0x?tJ,2r(B (Maple7)} |
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\end{table} |
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\begin{table}[hbtp] |
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\begin{center} |
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% & & & & & & & & & & & & & & & \\ \hline |
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{\normalsize |
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\begin{tabular}{c|ccccccccc} \hline |
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$p$ & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline |
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2(5) & 0.003 & 0.003 & 0.004 & 0.01 & 0.02 & 0.05 & 0.001 & 0.01 & 0.0003 \\ \hline |
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3(5) & 0.003 & 0.002 & 0.005 & 0.003 & 0.003 & 0.1 & 0.002 & 0.001 & 0.003 \\ \hline |
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5(2) & 0.004 & 0.003 & 0.004 & 0.02 & 0.06 & 0.4 & 0.002 & 0.4 & 0.005 \\ \hline |
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7(2) & 0.004 & 0.004 & 0.005 & 0.03 & 0.1 & 0.1 & 0.004 & 1.8 & 0.2 \\ \hline |
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\end{tabular} |
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\begin{tabular}{c|cccccc} \hline |
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$p$ & 10 & 11 & 12 & 13 & 14 & 15 \\ \hline |
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2(5) & 0.03 & 0.07 & 0.0006 & 0.001 & 0.002 & 0.001 \\ \hline |
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3(5) & 0.04 & 0.2 & 0.0001 & 0.0005 & 0.02 & 0.001 \\ \hline |
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5(2) & 0.01 & 0.2 & 0.001 & 0.001 & 0.004 & 0.01 \\ \hline |
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7(2) & 0.02 & 0.6 & 0.001 & 0.007 & 0.005 & 0.01 \\ \hline |
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\end{tabular} |
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\begin{tabular}{c|ccccccccc} \hline |
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$p$ & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline |
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547 & 0.004 & 0.004 & 0.005 & 0.03 & 0.05 & 0.2 & 0.02& 2& 0.2\\ \hline |
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32003 & 0.004 & 0.004 & 0.005 &0.04 &0.07 & 0.2 & 0.004 & 2 & 0.2 \\ \hline |
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99981793& 0.004 & 0.004& 0.005 & 0.03 & 0.03 & 0.2 & 0.004 & 4 & 0.2 \\ \hline |
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\end{tabular} |
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\begin{tabular}{c|cccccc} \hline |
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$p$ & 10 & 11 & 12 & 13 & 14 & 15 \\ \hline |
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547 & 0.04 & 0.3 & 0.001 &0.006 & 0.006 & 0.01 \\ \hline |
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32003 & 0.04 &0.2 &0.001 &0.007 & 0.006 & 0.03 \\ \hline |
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99981793 & 0.04 & 0.3 &0.001 & 0.008 & 0.008 & 0.01 \\ \hline |
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\end{tabular} |
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} |
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\end{center} |
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\caption{$B0x?tJ,2r(B (Asir)} |
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\end{table} |
\section{$B$*$o$j$K(B} |
\section{$B$*$o$j$K(B} |
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$B:#8e$NM=Dj$H$7$F(B, $B<!$N$h$&$J$3$H$r9M$($F$$$k(B. |
$B:#8e$NM=Dj$H$7$F(B, $B<!$N$h$&$J$3$H$r9M$($F$$$k(B. |