version 1.1.1.1, 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 |
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\def\TITLE{Pari-GP reference card} |
\def\TITLE{Pari-GP reference card} |
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\def\versionnumber{2.13}% Version of this reference card |
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\def\PARIversion{2.2.5}% Version of PARI described on this reference card |
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\def\year{2002} |
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\def\month{August} |
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% 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 |
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%**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 |
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% (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 |
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% 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. |
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\def\versionnumber{2.11}% Version of this reference card |
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\def\PARIversion{2.1.0}% Version of PARI described on this reference card |
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\def\year{2000} |
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\def\month{November} |
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\def\version{\month\ \year\ v\versionnumber} |
\def\version{\month\ \year\ v\versionnumber} |
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\def\shortcopyrightnotice{\vskip .5ex plus 2 fill |
\def\shortcopyrightnotice{\vskip .5ex plus 2 fill |
Line 726 If $\var{fl}$ omitted, also |
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Line 727 If $\var{fl}$ omitted, also |
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\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 |
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Line 1013 Extension $L/K$ is defined by $g\in K[x]$. We have $or |
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\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$(K,pol,\fl)$} |
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\li{is $a\in K$ a norm from $L$?}{rnfisnorm$(T,a,\fl)$} |
\vfill |
\vfill |
\copyrightnotice |
\copyrightnotice |
\bye |
\bye |