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version 1.1, 2001/10/02 11:16:56 version 1.2, 2002/09/11 07:26:42
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 %% which I modified from his GNU emacs reference card  %% which I modified from his GNU emacs reference card
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \def\TITLE{Pari-GP reference card}  \def\TITLE{Pari-GP reference card}
   \def\versionnumber{2.13}% Version of this reference card
   \def\PARIversion{2.2.5}% Version of PARI described on this reference card
   \def\year{2002}
   \def\month{August}
   
 % ignore parimacro.tex's \magnification setting  % ignore parimacro.tex's \magnification setting
 \let\oldmagnification\magnification  \let\oldmagnification\magnification
 \catcode`@=11  \catcode`@=11
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   \pdfpagewidth=11.69in    \pdfpagewidth=11.69in
   \pdfpageheight=8.26in    \pdfpageheight=8.26in
 \fi  \fi
   
 %**start of header  %**start of header
 \newcount\columnsperpage  \newcount\columnsperpage
 % The final reference card has six columns, three on each side.  % The final reference card has six columns, three on each side.
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 %  Universite Paris Sud  %  Universite Paris Sud
 %  Departement de Mathematiques (bat. 425)  %  Departement de Mathematiques (bat. 425)
 %  F-91405 Orsay  %  F-91405 Orsay
 %  Internet: Karim.Belabas@math.u-psud.fr  %  email: Karim.Belabas@math.u-psud.fr
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 % (original reference card by Joseph H. Silverman)  % (original reference card by Joseph H. Silverman)
 % (original reference card macros due to Stephen Gildea)  % (original reference card macros due to Stephen Gildea)
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 % Version 2.9 - April 2000, added \o¸ updated control statements  % Version 2.9 - April 2000, added \o¸ updated control statements
 % Version 2.10 - June 2000, updated polinterpolate  % Version 2.10 - June 2000, updated polinterpolate
 % Version 2.11 - November 2000, changed Copyright  % Version 2.11 - November 2000, changed Copyright
   % From version 2.12 onward, History will be catered for by CVS.
 %% Thanks to Bill Allombert, Henri Cohen, Gerhard Niklasch, and Joe  %% Thanks to Bill Allombert, Henri Cohen, Gerhard Niklasch, and Joe
 %% Silverman for many comments and corrections.  %% Silverman for many comments and corrections.
   
 \def\versionnumber{2.11}% Version of this reference card  
 \def\PARIversion{2.1.0}% Version of PARI described on this reference card  
 \def\year{2000}  
 \def\month{November}  
 \def\version{\month\ \year\ v\versionnumber}  \def\version{\month\ \year\ v\versionnumber}
   
 \def\shortcopyrightnotice{\vskip .5ex plus 2 fill  \def\shortcopyrightnotice{\vskip .5ex plus 2 fill
Line 726  If $\var{fl}$ omitted, also
Line 727  If $\var{fl}$ omitted, also
 \endindentedkeys  \endindentedkeys
 \li{change curve $E$ using $v=[u,r,s,t]$}{ellchangecurve$(ell,v)$}  \li{change curve $E$ using $v=[u,r,s,t]$}{ellchangecurve$(ell,v)$}
 \li{change point $z$ using $v=[u,r,s,t]$}{ellchangepoint$(z,v)$}  \li{change point $z$ using $v=[u,r,s,t]$}{ellchangepoint$(z,v)$}
 \li{cond, min mod, Tamgawa nmbr $[N,v,c]$}{ellglobalred$(ell)$}  \li{cond, min mod, Tamagawa nmbr $[N,v,c]$}{ellglobalred$(ell)$}
 \li{Kodaira type of $p$ fiber of $E$}{elllocalred$(ell,p)$}  \li{Kodaira type of $p$ fiber of $E$}{elllocalred$(ell,p)$}
 \li{add points $z1+z2$}{elladd$(ell,z1,z2)$}  \li{add points $z1+z2$}{elladd$(ell,z1,z2)$}
 \li{subtract points $z1-z2$}{ellsub$(ell,z1,z2)$}  \li{subtract points $z1-z2$}{ellsub$(ell,z1,z2)$}
Line 1012  Extension $L/K$ is defined by $g\in K[x]$. We have $or
Line 1013  Extension $L/K$ is defined by $g\in K[x]$. We have $or
 \li{relative norm of ideal $x$}{rnfidealnormrel$(\var{rnf},x)$}  \li{relative norm of ideal $x$}{rnfidealnormrel$(\var{rnf},x)$}
 \li{solutions of $N_{K/\QQ}(y)=x\in \ZZ$}{bnfisintnorm$(\var{bnf},x)$}  \li{solutions of $N_{K/\QQ}(y)=x\in \ZZ$}{bnfisintnorm$(\var{bnf},x)$}
 \li{is $x\in\QQ$ a norm from $K$?}{bnfisnorm$(\var{bnf},x,\fl)$}  \li{is $x\in\QQ$ a norm from $K$?}{bnfisnorm$(\var{bnf},x,\fl)$}
 \li{is $x\in K$ a norm from $L$?}{rnfisnorm$(\var{bnf},ext,x,\fl)$}  \li{initialize $T$ for norm eq.~solver}{rnfisnorminit$(K,pol,\fl)$}
   \li{is $a\in K$ a norm from $L$?}{rnfisnorm$(T,a,\fl)$}
 \vfill  \vfill
 \copyrightnotice  \copyrightnotice
 \bye  \bye
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