!libpari!tt!5!
!gp!tt!5!
!GP!tt!5!
!gp2c!tt!5!
!t_INT!tt!7!
!integer!rm!7!
!t_REAL!tt!7!
!real number!rm!7!
!t_INTMOD!tt!7!
!intmod!it!7!
!t_FRAC!tt!7!
!rational number!rm!7!
!t_FFELT!tt!7!
!\EFF {}inite \EFF {}ield element!rm!7!
!t_COMPLEX!tt!7!
!complex number!rm!7!
!t_PADIC!tt!7!
!p-adic number!rm!7!
!t_QUAD!tt!7!
!quadratic number!rm!7!
!t_POLMOD!tt!7!
!polmod!it!7!
!t_POL!tt!7!
!polynomial!rm!7!
!t_SER!tt!7!
!power series!rm!7!
!t_RFRAC!tt!7!
!rational \EFF {}unction!rm!7!
!t_VEC!tt!7!
!row vector!rm!7!
!t_COL!tt!7!
!column vector!rm!7!
!t_MAT!tt!7!
!matrix!rm!7!
!t_LIST!tt!7!
!list!rm!7!
!t_STR!tt!7!
!string!rm!7!
!t_CLOSURE!tt!7!
!t_ERROR!tt!7!
!t_INFINITY!tt!7!
!scalar type!rm!7!
!t_QFR!tt!7!
!t_QFI!tt!7!
!t_VECSMALL!tt!7!
!vecsmall!rm!7!
!GEN!tt!8!
!integer!rm!8!
!real number!rm!8!
!intmod!rm!8!
!rational number!rm!8!
!p-adic number!rm!8!
!polmod!rm!8!
!\EFF {}inite \EFF {}ield element!rm!8!
!complex number!rm!8!
!quadratic number!rm!8!
!polynomial!rm!8!
!power series!rm!8!
!vector!rm!8!
!matrix!rm!8!
!zero!rm!9!
!accuracy!rm!9!
!de\EFF {}ault precision!rm!9!
!apply!tt!10!
!gp!tt!13!
!gprc!tt!13!
!pre\EFF {}erences \EFF {}ile!rm!13!
!expression!rm!15!
!expression sequence!rm!15!
!histsize!tt!16!
!editing characters!rm!16!
!backslash character!rm!16!
!brace characters!rm!16!
!integer!rm!17!
!t_INT!tt!17!
!real number!rm!17!
!t_REAL!tt!17!
!realprecision!tt!18!
!intmod!rm!18!
!t_INTMOD!tt!18!
!rational number!rm!18!
!t_FRAC!tt!18!
!\EFF {}inite \EFF {}ield element!rm!19!
!t_FFELT!tt!19!
!\EFF {}\EFF {}init!tt!19!
!\EFF {}\EFF {}gen!tt!19!
!\EFF {}\EFF {}gen!tt!19!
!complex number!rm!19!
!t_COMPLEX!tt!19!
!I!tt!19!
!p-adic number!rm!19!
!t_PADIC!tt!19!
!quadratic number!rm!20!
!t_QUAD!tt!20!
!polmod!rm!20!
!t_POLMOD!tt!20!
!number \EFF {}ield!rm!20!
!\EFF {}inite \EFF {}ield!rm!20!
!variable (priority)!rm!20!
!variable!rm!20!
!polynomial!rm!21!
!t_POL!tt!21!
!power series!rm!22!
!t_SER!tt!22!
!Ser!tt!22!
!Pol!tt!22!
!Polrev!tt!22!
!rational \EFF {}unction!rm!22!
!t_RFRAC!tt!22!
!binary quadratic \EFF {}orm!rm!22!
!t_QFR!tt!22!
!t_QFI!tt!22!
!row vector!rm!23!
!column vector!rm!23!
!t_VEC!tt!23!
!t_COL!tt!23!
!Vec!tt!23!
!vector!tt!23!
!vectorv!tt!23!
!Vec!tt!23!
!Col!tt!23!
!Vecrev!tt!23!
!Colrev!tt!23!
!matrix!rm!24!
!t_MAT!tt!24!
!Mat!tt!24!
!matrix!tt!24!
!Vec!tt!26!
!Mat!tt!26!
!list!rm!26!
!t_LIST!tt!26!
!string!rm!26!
!character string!rm!26!
!t_STR!tt!26!
!t_VECSMALL!tt!26!
!t_CLOSURE!tt!27!
!t_ERROR!tt!27!
!i\EFF {}err!tt!27!
!t_INFINITY!tt!27!
!operator!rm!27!
!priority!rm!28!
!lvalue!it!28!
!lvalue!tt!28!
!numerical derivation!rm!29!
!lvalue!it!30!
!variable!rm!31!
!\EFF {}ree variable!rm!31!
!variable (priority)!rm!32!
!varhigher!tt!32!
!variable!tt!32!
!gprc!tt!33!
!numerator!tt!33!
!denominator!tt!33!
!content!tt!33!
!content!tt!33!
!denominator!tt!33!
!divrem!tt!33!
!variable scope!rm!34!
!eval!tt!34!
!lexical scoping!rm!34!
!dynamic scoping!rm!35!
!Perl!tt!35!
!my!tt!35!
!local!tt!35!
!eval!tt!36!
!user de\EFF {}ined \EFF {}unctions!rm!37!
!my!tt!38!
!strictargs!tt!40!
!Riemann zeta-\EFF {}unction!rm!40!
!zeta \EFF {}unction!rm!41!
!recursion!rm!42!
!multivariate polynomial!rm!42!
!recursion depth!rm!42!
!deep recursion!rm!42!
!ulimit!tt!43!
!limit!tt!43!
!stacksize!tt!43!
!member \EFF {}unctions!rm!44!
!bid!it!44!
!ell!it!44!
!galois!it!44!
!\EFF {}\EFF {}!it!44!
!n\EFF {}!it!44!
!bn\EFF {}!it!44!
!bnr!it!44!
!prid!it!44!
!ell!it!44!
!string!rm!45!
!keyword!rm!45!
!concat!tt!45!
!print!tt!46!
!Str!tt!46!
!string context!it!46!
!Str!tt!47!
!addhelp!tt!47!
!de\EFF {}ault!tt!47!
!error!tt!47!
!extern!tt!47!
!plotstring!tt!47!
!plotterm!tt!47!
!read!tt!47!
!readvec!tt!47!
!system!tt!47!
!print!tt!47!
!write!tt!47!
!alias!tt!47!
!de\EFF {}ault!tt!47!
!install!tt!47!
!trap!tt!47!
!whatnow!tt!47!
!eval!tt!47!
!generic matrix!rm!47!
!matrix!rm!47!
!history!rm!47!
!error recovery!rm!49!
!error trapping!it!50!
!i\EFF {}err!tt!50!
!break loop!it!50!
!error!tt!50!
!next!tt!50!
!break!tt!50!
!return!tt!50!
!next!tt!50!
!break!tt!50!
!return!tt!50!
!dbg_up!tt!51!
!dbg_down!tt!51!
!dbg_x!tt!51!
!dbg_err!tt!51!
!breakloop!tt!52!
!install!tt!53!
!Math::Pari!tt!54!
!CLISP!tt!54!
!Perl!rm!54!
!Python!rm!54!
!Lisp!rm!54!
!de\EFF {}aults!rm!54!
!pre\EFF {}erences \EFF {}ile!rm!54!
!parisizemax!tt!54!
!time expansion!tt!55!
!str\EFF {}time!tt!55!
!environment expansion!tt!55!
!\EFF {}ilename!rm!55!
!read!tt!55!
!write!tt!55!
!log!tt!56!
!simpli\EFF {}y!tt!56!
!tutorial!rm!56!
!re\EFF {}erence card!rm!56!
!gphelp!tt!56!
!available commands!rm!56!
!de\EFF {}aults!rm!57!
!echo!tt!57!
!debug!tt!57!
!debug\EFF {}iles!tt!57!
!debugmem!tt!57!
!log!tt!57!
!output!tt!57!
!realprecision!tt!57!
!seriesprecision!tt!57!
!quit!tt!57!
!binary \EFF {}ile!tt!57!
!compress!tt!57!
!gzip!tt!57!
!stack!it!57!
!heap!it!57!
!internal longword \EFF {}ormat!rm!57!
!version number!rm!58!
!write!tt!58!
!internal representation!rm!58!
!dbg_x!tt!58!
!startup!rm!58!
!pre\EFF {}erences \EFF {}ile!rm!58!
!gprc!tt!58!
!GPRC!tt!60!
!line editor!rm!60!
!completion!rm!60!
!Vi!rm!61!
!dvi!rm!62!
!Emacs!rm!62!
!\EFF {}lag!it!63!
!binary \EFF {}lag!rm!64!
!ploth!tt!64!
!pointer!it!64!
!pointer!it!64!
!gneg!tt!65!
!sum!rm!65!
!gadd!tt!65!
!di\EFF {}\EFF {}erence!rm!65!
!gsub!tt!65!
!product!rm!65!
!scalar product!rm!65!
!gmul!tt!65!
!gsqr!tt!65!
!quotient!rm!65!
!Taylor series!rm!65!
!gdiv!tt!65!
!Euclidean quotient!rm!65!
!gdivent!tt!66!
!Euclidean quotient!rm!66!
!gdivround!tt!66!
!Euclidean remainder!rm!66!
!gmod!tt!66!
!powering!rm!66!
!inverse!rm!67!
!gpow!tt!67!
!cmp!tt!67!
!cmp_universal!tt!68!
!divrem!tt!68!
!divrem!tt!68!
!gdiventres!tt!68!
!lex!tt!68!
!lexcmp!tt!69!
!max!tt!69!
!gmax!tt!69!
!min!tt!69!
!gmin!tt!69!
!powers!tt!69!
!gpowers!tt!69!
!shi\EFF {}t!tt!69!
!gshi\EFF {}t!tt!69!
!shi\EFF {}tmul!tt!69!
!gmul2n!tt!69!
!sign!tt!69!
!sign!rm!69!
!gsigne!tt!69!
!vecmax!tt!69!
!vecmax0!tt!70!
!vecmax!tt!70!
!vecmin!tt!70!
!vecmin0!tt!70!
!vecmin!tt!70!
!Boolean operators!rm!70!
!comparison operators!rm!70!
!inclusive or!rm!70!
!and!rm!70!
!or!rm!70!
!not!rm!70!
!Col!tt!70!
!gtocol0!tt!71!
!gtocol!tt!71!
!Colrev!tt!71!
!gtocolrev0!tt!71!
!gtocolrev!tt!71!
!List!tt!71!
!gtolist!tt!71!
!listcreate!tt!71!
!Map!tt!71!
!mapput!tt!71!
!gtomap!tt!71!
!Mat!tt!71!
!gtomat!tt!72!
!Mod!tt!72!
!li\EFF {}t!tt!73!
!centerli\EFF {}t!tt!73!
!gmodulo!tt!73!
!Pol!tt!73!
!Polrev!tt!73!
!gtopoly!tt!74!
!Polrev!tt!74!
!Pol!tt!74!
!gtopolyrev!tt!74!
!Q\EFF {}b!tt!74!
!binary quadratic \EFF {}orm!rm!74!
!Shanks!rm!74!
!Q\EFF {}b0!tt!74!
!q\EFF {}i!tt!74!
!q\EFF {}r!tt!74!
!Ser!tt!75!
!Polrev!tt!75!
!gtoser!tt!75!
!Set!tt!75!
!cmp!tt!75!
!gtoset!tt!76!
!Str!tt!76!
!strtoGEN!tt!76!
!GENtostr!tt!76!
!Strchr!tt!76!
!Strchr!tt!76!
!Strexpand!tt!76!
!environment expansion!rm!76!
!environment variable!rm!76!
!Strtex!tt!76!
!Vec!tt!76!
!i\EFF {}err!tt!77!
!gtovec!tt!77!
!gtovec0!tt!77!
!Vecrev!tt!77!
!gtovecrev0!tt!77!
!gtovecrev!tt!77!
!Vecsmall!tt!77!
!Strchr!tt!77!
!gtovecsmall0!tt!77!
!gtovecsmall!tt!77!
!binary!tt!77!
!binaire!tt!77!
!bitand!tt!77!
!and!tt!77!
!bitwise and!rm!77!
!gbitand!tt!78!
!ibitand!tt!78!
!bitneg!tt!78!
!bitwise negation!rm!78!
!gbitneg!tt!78!
!bitnegimply!tt!78!
!gbitnegimply!tt!78!
!ibitnegimply!tt!78!
!bitor!tt!78!
!bitwise inclusive or!rm!78!
!or!tt!78!
!gbitor!tt!78!
!ibitor!tt!78!
!bittest!tt!78!
!gbittest!tt!78!
!bittest!tt!78!
!int_bit!tt!78!
!bitxor!tt!79!
!or!tt!79!
!bitwise exclusive or!rm!79!
!gbitxor!tt!79!
!ibitxor!tt!79!
!ceil!tt!79!
!gceil!tt!79!
!centerli\EFF {}t!tt!79!
!li\EFF {}t!tt!79!
!bestappr!tt!79!
!centerli\EFF {}t!tt!79!
!characteristic!tt!79!
!characteristic!tt!79!
!component!tt!79!
!code words!rm!79!
!polcoe\EFF {}\EFF {}!tt!79!
!x[n]!tt!79!
!x[m,n]!tt!79!
!x[m,]!tt!79!
!x[,n]!tt!79!
!compo!tt!80!
!conj!tt!80!
!gconj!tt!80!
!conjvec!tt!80!
!conjvec!tt!80!
!denominator!tt!80!
!denom!tt!81!
!digits!tt!81!
!digits!tt!81!
!\EFF {}loor!tt!81!
!g\EFF {}loor!tt!81!
!\EFF {}rac!tt!81!
!g\EFF {}rac!tt!81!
!\EFF {}romdigits!tt!81!
!\EFF {}romdigits!tt!81!
!hammingweight!tt!81!
!hammingweight!tt!81!
!imag!tt!81!
!gimag!tt!81!
!length!tt!81!
!glength!tt!82!
!li\EFF {}t!tt!82!
!truncate!tt!82!
!li\EFF {}tint!tt!82!
!li\EFF {}tpol!tt!82!
!centerli\EFF {}t!tt!82!
!li\EFF {}t0!tt!83!
!li\EFF {}t!tt!83!
!li\EFF {}tall!tt!83!
!truncate!tt!83!
!li\EFF {}tall!tt!83!
!li\EFF {}tint!tt!83!
!truncate!tt!83!
!li\EFF {}tint!tt!83!
!li\EFF {}tpol!tt!83!
!li\EFF {}tpol!tt!83!
!norm!tt!83!
!gnorm!tt!83!
!numerator!tt!83!
!numer!tt!84!
!numtoperm!tt!84!
!permtonum!tt!84!
!numtoperm!tt!84!
!oo!tt!84!
!mkoo!tt!84!
!padicprec!tt!84!
!LONG_MAX!tt!84!
!padicprec!tt!84!
!permtonum!tt!84!
!numtoperm!tt!84!
!permtonum!tt!84!
!precision!tt!84!
!truncate!tt!85!
!precision0!tt!85!
!gprec!tt!85!
!precision!tt!85!
!random!tt!85!
!ellordinate!tt!85!
!getrand!tt!86!
!setrand!tt!86!
!genrand!tt!86!
!ellrandom!tt!86!
!\EFF {}\EFF {}random!tt!86!
!real!tt!86!
!greal!tt!86!
!round!tt!86!
!round0!tt!87!
!grndtoi!tt!87!
!ground!tt!87!
!simpli\EFF {}y!tt!87!
!simpli\EFF {}y!tt!87!
!sizebyte!tt!87!
!gsizebyte!tt!87!
!gsizeword!tt!87!
!sizedigit!tt!87!
!sizedigit!tt!88!
!truncate!tt!88!
!trunc0!tt!88!
!gtrunc!tt!88!
!gcvtoi!tt!88!
!valuation!tt!88!
!gpvaluation!tt!88!
!gvaluation!tt!88!
!LONG_MAX!tt!88!
!varhigher!tt!88!
!varlower!tt!88!
!varhigher!tt!89!
!variable!tt!89!
!varhigher!tt!90!
!gpolvar!tt!90!
!gvar!tt!90!
!gvar!tt!90!
!variables!tt!90!
!variables_vec!tt!90!
!variables_vecsmall!tt!90!
!varlower!tt!91!
!varhigher!tt!91!
!varlower!tt!92!
!precision!rm!92!
!realprecision!tt!92!
!seriesprecision!tt!93!
!powering!rm!93!
!gpow!tt!94!
!Catalan!tt!94!
!mpcatalan!tt!94!
!Euler!tt!94!
!mpeuler!tt!94!
!I!tt!94!
!gen_I!tt!94!
!Pi!tt!94!
!mppi!tt!94!
!abs!tt!94!
!gabs!tt!94!
!acos!tt!94!
!gacos!tt!94!
!acosh!tt!94!
!gacosh!tt!94!
!agm!tt!94!
!agm!tt!94!
!arg!tt!95!
!garg!tt!95!
!asin!tt!95!
!gasin!tt!95!
!asinh!tt!95!
!gasinh!tt!95!
!atan!tt!95!
!gatan!tt!95!
!atanh!tt!95!
!gatanh!tt!95!
!bern\EFF {}rac!tt!95!
!Bernoulli numbers!rm!95!
!bern\EFF {}rac!tt!95!
!bernpol!tt!95!
!Bernoulli polynomial!rm!95!
!bernpol!tt!95!
!bernreal!tt!95!
!Bernoulli numbers!rm!95!
!bernreal!tt!95!
!bernvec!tt!95!
!Bernoulli numbers!rm!95!
!bernvec!tt!96!
!besselh1!tt!96!
!hbessel1!tt!96!
!besselh2!tt!96!
!hbessel2!tt!96!
!besseli!tt!96!
!ibessel!tt!96!
!besselj!tt!96!
!jbessel!tt!96!
!besseljh!tt!96!
!jbesselh!tt!96!
!besselk!tt!96!
!kbessel!tt!96!
!besseln!tt!96!
!nbessel!tt!96!
!cos!tt!96!
!gcos!tt!96!
!cosh!tt!96!
!gcosh!tt!96!
!cotan!tt!96!
!gcotan!tt!96!
!cotanh!tt!96!
!gcotanh!tt!96!
!dilog!tt!96!
!dilog!tt!97!
!eint1!tt!97!
!veceint1!tt!97!
!eint1!tt!97!
!er\EFF {}c!tt!97!
!ger\EFF {}c!tt!97!
!eta!tt!97!
!Dedekind!rm!97!
!eta0!tt!97!
!trueeta!tt!97!
!exp!tt!97!
!gexp!tt!97!
!Qp_exp!tt!97!
!expm1!tt!97!
!gexpm1!tt!98!
!gamma!tt!98!
!gamma-\EFF {}unction!rm!98!
!ggamma!tt!98!
!Qp_gamma!tt!98!
!gammah!tt!98!
!ggammah!tt!98!
!gammamellininv!tt!98!
!gammamellininvinit!tt!98!
!gammamellininv!tt!99!
!gammamellininvasymp!tt!99!
!gammamellininvasymp!tt!99!
!gammamellininvinit!tt!99!
!gammamellininv!tt!99!
!gammamellininvinit!tt!99!
!hyperu!tt!99!
!hyperu!tt!100!
!incgam!tt!100!
!incgam0!tt!100!
!incgam!tt!100!
!incgamc!tt!100!
!incgamc!tt!100!
!lambertw!tt!100!
!glambertW!tt!100!
!lngamma!tt!100!
!glngamma!tt!101!
!log!tt!101!
!glog!tt!101!
!Qp_log!tt!101!
!polylog!tt!101!
!polylog0!tt!102!
!gpolylog!tt!102!
!psi!tt!102!
!gpsi!tt!102!
!sin!tt!102!
!gsin!tt!102!
!sinc!tt!102!
!gsinc!tt!102!
!sinh!tt!102!
!gsinh!tt!102!
!sqr!tt!102!
!gsqr!tt!102!
!sqrt!tt!102!
!gsqrt!tt!103!
!Qp_sqrt!tt!103!
!sqrtn!tt!103!
!gsqrtn!tt!103!
!Qp_sqrt!tt!103!
!tan!tt!103!
!gtan!tt!103!
!tanh!tt!103!
!gtanh!tt!103!
!teichmuller!tt!104!
!teich!tt!104!
!theta!tt!104!
!theta!tt!104!
!thetanullk!tt!104!
!thetanullk!tt!104!
!vecthetanullk!tt!104!
!vecthetanullk_tau!tt!104!
!weber!tt!104!
!weber0!tt!104!
!weber\EFF {}!tt!104!
!weber\EFF {}1!tt!104!
!weber\EFF {}2!tt!104!
!zeta!tt!104!
!Riemann zeta-\EFF {}unction!rm!104!
!Euler-Maclaurin!rm!104!
!Bernoulli numbers!rm!104!
!gzeta!tt!104!
!zetamult!tt!104!
!zetamult!tt!104!
!Euler totient \EFF {}unction!rm!105!
!Moebius!rm!105!
!Shanks SQUFOF!rm!105!
!Pollard Rho!rm!105!
!ECM!rm!105!
!MPQS!rm!105!
!moebius!tt!105!
!issquare\EFF {}ree!tt!105!
!addprimes!tt!106!
!\EFF {}actor_proven!tt!106!
!addprimes!tt!106!
!bestappr!tt!106!
!bestappr!tt!107!
!bestapprPade!tt!107!
!bestapprPade!tt!107!
!bezout!tt!107!
!gcdext0!tt!107!
!bigomega!tt!107!
!bigomega!tt!107!
!binomial!tt!107!
!binomial coe\EFF {}\EFF {}icient!rm!107!
!binomial!tt!108!
!binomialuu!tt!108!
!vecbinome!tt!108!
!chinese!tt!108!
!chinese!tt!108!
!chinese1!tt!108!
!content!tt!108!
!content!tt!109!
!cont\EFF {}rac!tt!109!
!continued \EFF {}raction!rm!109!
!Engel expansion!rm!110!
!Egyptian \EFF {}raction!rm!110!
!cont\EFF {}rac0!tt!110!
!gboundc\EFF {}!tt!110!
!gc\EFF {}!tt!110!
!gc\EFF {}2!tt!110!
!cont\EFF {}racpnqn!tt!110!
!cont\EFF {}racpnqn!tt!110!
!pnqn!tt!110!
!core!tt!110!
!core0!tt!111!
!core!tt!111!
!core2!tt!111!
!coredisc!tt!111!
!quaddisc!tt!111!
!coredisc0!tt!111!
!coredisc!tt!111!
!coredisc2!tt!111!
!dirdiv!tt!111!
!Dirichlet series!rm!111!
!dirdiv!tt!111!
!direuler!tt!111!
!Dirichlet series!rm!111!
!Euler product!rm!111!
!sigma!tt!111!
!direuler!tt!111!
!dirmul!tt!111!
!Dirichlet series!rm!111!
!dirmul!tt!111!
!divisors!tt!111!
!\EFF {}actor!tt!111!
!divisors!tt!111!
!eulerphi!tt!112!
!Euler totient \EFF {}unction!rm!112!
!eulerphi!tt!112!
!\EFF {}actor!tt!112!
!\EFF {}actorint!tt!112!
!\EFF {}actor_proven!tt!112!
!\EFF {}actormod!tt!113!
!\EFF {}actor\EFF {}\EFF {}!tt!113!
!\EFF {}actorn\EFF {}!tt!113!
!van Hoeij!rm!113!
!n\EFF {}\EFF {}actor!tt!114!
!gp_\EFF {}actor0!tt!114!
!\EFF {}actor!tt!114!
!bound\EFF {}act!tt!114!
!\EFF {}actor0!tt!114!
!\EFF {}actorback!tt!114!
!\EFF {}actorback2!tt!115!
!\EFF {}actorback!tt!115!
!\EFF {}actorcantor!tt!115!
!Cantor-Zassenhaus!rm!115!
!Zassenhaus!rm!115!
!\EFF {}actcantor!tt!115!
!\EFF {}actor\EFF {}\EFF {}!tt!115!
!\EFF {}actor\EFF {}\EFF {}!tt!116!
!\EFF {}actorial!tt!116!
!mp\EFF {}actr!tt!116!
!mp\EFF {}act!tt!116!
!\EFF {}actorint!tt!116!
!Shanks SQUFOF!rm!116!
!Pollard Rho!rm!116!
!Lenstra!rm!116!
!ECM!rm!116!
!MPQS!rm!116!
!LiDIA!rm!116!
!ispseudoprime!tt!116!
!\EFF {}actor_proven!tt!116!
!addprimes!tt!116!
!debug!tt!116!
!\EFF {}actorint!tt!116!
!\EFF {}actormod!tt!116!
!Berlekamp!rm!116!
!\EFF {}actormod0!tt!116!
!\EFF {}\EFF {}gen!tt!116!
!\EFF {}\EFF {}init!tt!116!
!\EFF {}\EFF {}gen!tt!117!
!p_to_GEN!tt!117!
!\EFF {}\EFF {}init!tt!117!
!\EFF {}\EFF {}gen!tt!117!
!\EFF {}\EFF {}init!tt!117!
!\EFF {}\EFF {}log!tt!117!
!\EFF {}\EFF {}primroot!tt!117!
!znlog!tt!117!
!\EFF {}\EFF {}log!tt!118!
!\EFF {}\EFF {}nbirred!tt!118!
!\EFF {}\EFF {}nbirred0!tt!118!
!\EFF {}\EFF {}nbirred!tt!118!
!\EFF {}\EFF {}sumnbirred!tt!118!
!\EFF {}\EFF {}order!tt!118!
!\EFF {}\EFF {}order!tt!118!
!\EFF {}\EFF {}primroot!tt!118!
!\EFF {}\EFF {}log!tt!118!
!\EFF {}\EFF {}order!tt!118!
!\EFF {}\EFF {}primroot!tt!119!
!\EFF {}ibonacci!tt!119!
!\EFF {}ibo!tt!119!
!gcd!tt!119!
!bezout!tt!119!
!Euclid!rm!119!
!subresultant algorithm!rm!119!
!polresultant!tt!120!
!gcdext!tt!120!
!ggcd0!tt!120!
!ggcd!tt!120!
!content!tt!120!
!gcdext!tt!120!
!extended gcd!rm!120!
!Bezout relation!rm!120!
!gcdext0!tt!120!
!hilbert!tt!120!
!Hilbert symbol!rm!120!
!hilbert!tt!120!
!is\EFF {}undamental!tt!120!
!is\EFF {}undamental!tt!120!
!ispolygonal!tt!121!
!ispolygonal!tt!121!
!ispower!tt!121!
!ispower!tt!121!
!gisanypower!tt!121!
!ispower\EFF {}ul!tt!121!
!ispower\EFF {}ul!tt!121!
!isprime!tt!121!
!ispseudoprime!tt!121!
!ispseudoprime!tt!121!
!gisprime!tt!122!
!isprimepower!tt!122!
!isprimepower!tt!122!
!ispseudoprime!tt!122!
!isprime!tt!122!
!gispseudoprime!tt!122!
!ispseudoprimepower!tt!122!
!ispseudoprime!tt!122!
!ispseudoprimepower!tt!123!
!issquare!tt!123!
!issquareall!tt!123!
!issquare!tt!123!
!gissquare!tt!123!
!gissquareall!tt!123!
!issquare\EFF {}ree!tt!123!
!issquare\EFF {}ree!tt!123!
!istotient!tt!123!
!istotient!tt!124!
!kronecker!tt!124!
!Kronecker symbol!rm!124!
!Legendre symbol!rm!124!
!kronecker!tt!124!
!lcm!tt!124!
!glcm0!tt!124!
!logint!tt!124!
!logint0!tt!125!
!moebius!tt!125!
!Moebius!rm!125!
!moebius!tt!125!
!nextprime!tt!125!
!ispseudoprime!tt!125!
!nextprime!tt!125!
!numbpart!tt!125!
!partitions!tt!125!
!numbpart!tt!125!
!numdiv!tt!125!
!numdiv!tt!125!
!omega!tt!125!
!omega!tt!126!
!partitions!tt!126!
!numbpart!tt!126!
!partitions!tt!126!
!polroots\EFF {}\EFF {}!tt!126!
!polroots\EFF {}\EFF {}!tt!127!
!precprime!tt!127!
!ispseudoprime!tt!127!
!precprime!tt!127!
!prime!tt!127!
!prime!tt!127!
!primepi!tt!127!
!primepi!tt!127!
!primes!tt!127!
!primes0!tt!128!
!q\EFF {}bclassno!tt!128!
!quadclassunit!tt!128!
!quadclassunit!tt!128!
!Shanks!rm!128!
!q\EFF {}bclassno0!tt!129!
!classno!tt!129!
!classno2!tt!129!
!hclassno!tt!129!
!q\EFF {}bcompraw!tt!129!
!composition!rm!129!
!reduction!rm!129!
!q\EFF {}bcompraw!tt!129!
!q\EFF {}bhclassno!tt!129!
!Hurwitz class number!rm!129!
!hclassno!tt!129!
!q\EFF {}bnucomp!tt!129!
!composition!rm!129!
!Shanks!rm!129!
!nucomp!tt!129!
!nudupl!tt!129!
!q\EFF {}bnupow!tt!129!
!Shanks!rm!129!
!nupow!tt!129!
!q\EFF {}bpowraw!tt!129!
!reduction!rm!129!
!q\EFF {}bpowraw!tt!129!
!q\EFF {}bprime\EFF {}orm!tt!129!
!prime\EFF {}orm!tt!129!
!q\EFF {}bred!tt!130!
!reduction!rm!130!
!Shanks!rm!130!
!q\EFF {}bred0!tt!130!
!redimag!tt!130!
!redreal!tt!130!
!rhoreal!tt!130!
!redrealnod!tt!130!
!rhorealnod!tt!130!
!q\EFF {}bredsl2!tt!130!
!q\EFF {}bredsl2!tt!130!
!q\EFF {}bsolve!tt!130!
!bn\EFF {}isprincipal!tt!130!
!q\EFF {}bsolve!tt!130!
!quadclassunit!tt!130!
!Buchmann-McCurley!rm!130!
!q\EFF {}bclassno!tt!130!
!quadregula!tt!130!
!bn\EFF {}init!tt!130!
!bn\EFF {}narrow!tt!131!
!quadclassunit0!tt!131!
!Buchquad!tt!131!
!quaddisc!tt!131!
!quaddisc!tt!131!
!quadgen!tt!131!
!omega!rm!131!
!quadgen!tt!131!
!quadhilbert!tt!131!
!Hilbert class \EFF {}ield!rm!131!
!Schertz!rm!132!
!Stark units!rm!132!
!quadhilbert!tt!132!
!quadpoly!tt!132!
!quadpoly0!tt!132!
!quadray!tt!132!
!bnrstark!tt!132!
!quadray!tt!132!
!quadregulator!tt!132!
!quadregulator!tt!132!
!quadunit!tt!132!
!\EFF {}undamental units!rm!132!
!quadunit!tt!132!
!randomprime!tt!132!
!ispseudoprime!tt!132!
!randomprime!tt!132!
!removeprimes!tt!132!
!removeprimes!tt!132!
!sigma!tt!132!
!sumdivk!tt!132!
!sumdiv!tt!132!
!sqrtint!tt!132!
!sqrtint!tt!133!
!sqrtnint!tt!133!
!sqrtint!tt!133!
!sqrtnint!tt!133!
!stirling!tt!133!
!Stirling number!rm!133!
!stirling!tt!133!
!stirling1!tt!133!
!stirling2!tt!133!
!sumdedekind!tt!133!
!Dedekind sum!rm!133!
!sumdedekind!tt!134!
!sumdigits!tt!134!
!hammingweight!tt!134!
!sumdigits0!tt!134!
!sumdigits!tt!134!
!tauramanujan!tt!134!
!quadclassunit!tt!134!
!tauramanujan!tt!134!
!zncoppersmith!tt!134!
!Coppersmith!rm!134!
!LLL!rm!134!
!polrootsmod!tt!134!
!polrootspadic!tt!134!
!zncoppersmith!tt!135!
!znlog!tt!135!
!znlog!tt!136!
!znorder!tt!137!
!znorder!tt!137!
!order!tt!137!
!znprimroot!tt!137!
!znprimroot!tt!137!
!znstar!tt!137!
!znstar!tt!137!
!Weierstrass equation!rm!137!
!ellinit!tt!137!
!ell!it!137!
!ell!it!137!
!member \EFF {}unctions!rm!137!
!a1!tt!138!
!a2!tt!138!
!a3!tt!138!
!a4!tt!138!
!a6!tt!138!
!b2!tt!138!
!b4!tt!138!
!b6!tt!138!
!b8!tt!138!
!c4!tt!138!
!c6!tt!138!
!disc!tt!138!
!j!tt!138!
!ellperiods!tt!138!
!area!tt!138!
!roots!tt!138!
!omega!tt!138!
!eta!tt!139!
!ellzeta!tt!139!
!p!tt!139!
!roots!tt!139!
!tate!tt!139!
!p!tt!139!
!no!tt!139!
!cyc!tt!140!
!gen!tt!140!
!group!tt!140!
!ellgenerators!tt!140!
!ellidenti\EFF {}y!tt!140!
!ellsearch!tt!140!
!\EFF {}orell!tt!140!
!elldata!tt!140!
!ellinit!tt!140!
!gen!tt!140!
!n\EFF {}!tt!140!
!ellL1!tt!140!
!ellanalyticrank!tt!140!
!ellL1!tt!141!
!elladd!tt!141!
!elladd!tt!141!
!ellak!tt!141!
!Taniyama-Shimura-Weil conjecture!rm!141!
!akell!tt!141!
!ellan!tt!141!
!anell!tt!141!
!anellsmall!tt!141!
!ellanalyticrank!tt!141!
!ellanalyticrank!tt!142!
!ellap!tt!142!
!seadata!tt!142!
!SEA!tt!142!
!ellap!tt!143!
!ellbil!tt!143!
!bilhell!tt!143!
!ellcard!tt!143!
!ellgroup!tt!143!
!ellcard!tt!143!
!ellcard!tt!143!
!ellchangecurve!tt!143!
!ellchangecurve!tt!143!
!ellchangepoint!tt!143!
!ellchangepoint!tt!143!
!ellchangepointinv!tt!143!
!ellchangepointinv!tt!143!
!ellchangepointinv!tt!144!
!ellconvertname!tt!144!
!elldata!tt!144!
!ellconvertname!tt!144!
!elldivpol!tt!144!
!elldivpol!tt!144!
!elleisnum!tt!144!
!ellperiods!tt!144!
!elleisnum!tt!145!
!elleta!tt!145!
!elleta!tt!145!
!ell\EFF {}ormaldi\EFF {}\EFF {}erential!tt!145!
!seriesprecision!tt!145!
!ell\EFF {}ormaldi\EFF {}\EFF {}erential!tt!145!
!ell\EFF {}ormalexp!tt!145!
!ell\EFF {}ormallog!tt!145!
!ell\EFF {}ormalexp!tt!146!
!ell\EFF {}ormallog!tt!146!
!ell\EFF {}ormallog!tt!146!
!ell\EFF {}ormalpoint!tt!146!
!seriesprecision!tt!146!
!ell\EFF {}ormalpoint!tt!146!
!ell\EFF {}ormalw!tt!146!
!seriesprecision!tt!146!
!ell\EFF {}ormalw!tt!147!
!ell\EFF {}romeqn!tt!147!
!ell\EFF {}romeqn!tt!147!
!ell\EFF {}romj!tt!147!
!ell\EFF {}romj!tt!147!
!ellgenerators!tt!147!
!Mordell-Weil group!rm!147!
!elldata!tt!147!
!ellinit!tt!147!
!ellgenerators!tt!148!
!ellglobalred!tt!148!
!Tamagawa number!rm!148!
!ellminimalmodel!tt!148!
!Birch and Swinnerton-Dyer conjecture!rm!148!
!minimal model!rm!148!
!ellglobalred!tt!148!
!ellgroup!tt!148!
!ellgroup0!tt!149!
!ellgroup!tt!149!
!ellheegner!tt!149!
!ellheegner!tt!150!
!ellheight!tt!150!
!ellheight0!tt!150!
!ellheight!tt!150!
!ellheightmatrix!tt!150!
!Mordell-Weil group!rm!150!
!ellheightmatrix!tt!150!
!ellidenti\EFF {}y!tt!150!
!elldata!tt!150!
!Mordell-Weil group!rm!150!
!ellidenti\EFF {}y!tt!150!
!ellinit!tt!150!
!ell!tt!150!
!elldata!tt!150!
!\EFF {}\EFF {}gen!tt!150!
!ellinit!tt!151!
!ell!it!151!
!ellinit!tt!152!
!ellisdivisible!tt!152!
!ellisdivisible!tt!152!
!ellisogeny!tt!152!
!ellisogeny!tt!153!
!ellisogenyapply!tt!153!
!ellisogeny!tt!153!
!ellisogenyapply!tt!153!
!ellisomat!tt!153!
!ellisomat!tt!153!
!ellisoncurve!tt!153!
!ellisoncurve!tt!154!
!oncurve!tt!154!
!ellissupersingular!tt!154!
!ellissupersingular!tt!154!
!elljissupersingular!tt!154!
!ellj!tt!154!
!jell!tt!154!
!elllocalred!tt!154!
!Kodaira!rm!154!
!Tamagawa number!rm!154!
!elllocalred!tt!154!
!elllog!tt!154!
!znlog!tt!154!
!elllog!tt!155!
!elllseries!tt!155!
!elllseries!tt!155!
!ellminimalmodel!tt!155!
!minimal model!rm!155!
!ellminimalmodel!tt!155!
!ellminimaltwist!tt!155!
!ellminimaltwist0!tt!155!
!ellminimaltwist!tt!155!
!ellminimaltwistcond!tt!155!
!ellmodulareqn!tt!155!
!ellmodulareqn!tt!156!
!ellmul!tt!156!
!ellmul!tt!157!
!ellneg!tt!157!
!ellneg!tt!157!
!ellnonsingularmultiple!tt!157!
!ellnonsingularmultiple!tt!157!
!ellorder!tt!157!
!ellorder!tt!158!
!orderell!tt!158!
!ellordinate!tt!158!
!ellordinate!tt!158!
!ellpadicL!tt!158!
!ellpadicL!tt!159!
!ellpadic\EFF {}robenius!tt!159!
!ellpadic\EFF {}robenius!tt!160!
!ellpadicheight!tt!160!
!ellpadicheight0!tt!161!
!ellpadicheightmatrix!tt!161!
!ellpadicheight!tt!161!
!ellpadicheightmatrix!tt!161!
!ellpadiclog!tt!161!
!ellpadiclog!tt!161!
!ellpadics2!tt!161!
!ellpadics2!tt!161!
!ellperiods!tt!161!
!ellperiods!tt!162!
!ellpointtoz!tt!162!
!zell!tt!162!
!ellpow!tt!163!
!ellmul!tt!163!
!ellrootno!tt!163!
!Mordell-Weil group!rm!163!
!ellrootno!tt!163!
!ellsearch!tt!163!
!elldata!tt!163!
!ellconvertname!tt!163!
!Mordell-Weil group!rm!163!
!ellsearch!tt!163!
!ellsearchcurve!tt!163!
!ellsigma!tt!163!
!ellperiods!tt!163!
!ellsigma!tt!164!
!ellsub!tt!164!
!ellsub!tt!164!
!elltaniyama!tt!164!
!seriesprecision!tt!164!
!Weil curve!rm!164!
!elltaniyama!tt!164!
!elltatepairing!tt!164!
!elltatepairing!tt!164!
!elltors!tt!164!
!elltors!tt!164!
!elltwist!tt!164!
!elltwist!tt!165!
!ellweilpairing!tt!165!
!ellweilpairing!tt!165!
!ellwp!tt!165!
!ellperiods!tt!165!
!ellwp0!tt!165!
!ellwp!tt!165!
!ellwpseries!tt!165!
!ellxn!tt!165!
!ellxn!tt!165!
!ellzeta!tt!165!
!ellperiods!tt!165!
!elleta!tt!166!
!ellzeta!tt!166!
!ellztopoint!tt!166!
!Weierstrass $\wp$-\EFF {}unction!rm!166!
!pointell!tt!166!
!genus2red!tt!166!
!genus2red!tt!168!
!hyperellcharpoly!tt!168!
!hyperellcharpoly!tt!168!
!hyperellpadic\EFF {}robenius!tt!168!
!hyperellpadic\EFF {}robenius!tt!168!
!msinit!tt!169!
!msatkinlehner!tt!169!
!msatkinlehner!tt!169!
!mscuspidal!tt!169!
!mscuspidal!tt!170!
!mseisenstein!tt!170!
!mseisenstein!tt!170!
!mseval!tt!170!
!mspathgens!tt!170!
!mseval!tt!171!
!ms\EFF {}romell!tt!171!
!ms\EFF {}romell!tt!171!
!mshecke!tt!171!
!mshecke!tt!172!
!msinit!tt!172!
!msinit!tt!172!
!msissymbol!tt!172!
!msissymbol!tt!172!
!msnew!tt!172!
!msnew!tt!173!
!mspathgens!tt!173!
!mspathgens!tt!173!
!mspathlog!tt!173!
!mspathgens!tt!173!
!mspathlog!tt!174!
!msqexpansion!tt!174!
!mssplit!tt!174!
!msqexpansion!tt!174!
!mssplit!tt!174!
!mssplit!tt!175!
!msstar!tt!175!
!msstar!tt!175!
!n\EFF {}!it!175!
!n\EFF {}init!tt!175!
!bn\EFF {}!it!175!
!bn\EFF {}init!tt!175!
!bnr!it!175!
!algebraic number!it!175!
!ideal!it!175!
!ideal (extended)!rm!176!
!idealred!tt!176!
!\EFF {}amat!it!176!
!n\EFF {}\EFF {}actorback!tt!176!
!ideallog!tt!176!
!character!it!176!
!subgroup!it!176!
!rn\EFF {}!it!177!
!ideal list!it!177!
!pseudo-matrix!it!177!
!integral pseudo-matrix!it!177!
!projective module!it!177!
!pseudo-basis!it!177!
!Hermite normal \EFF {}orm!rm!177!
!modulus!it!177!
!bid!it!178!
!bnrinit!tt!178!
!member \EFF {}unctions!rm!179!
!bid!tt!179!
!bn\EFF {}!tt!179!
!clgp!tt!179!
!cyc!tt!179!
!Smith normal \EFF {}orm!rm!179!
!gen (member \EFF {}unction)!rm!179!
!no!tt!179!
!di\EFF {}\EFF {}!tt!179!
!codi\EFF {}\EFF {}!tt!179!
!disc!tt!179!
!\EFF {}u!tt!179!
!\EFF {}undamental units!rm!179!
!index!tt!179!
!index!rm!179!
!mod!tt!179!
!n\EFF {}!tt!179!
!pol!tt!179!
!r1!tt!179!
!r2!tt!179!
!reg!tt!179!
!roots!tt!179!
!sign!tt!179!
!t2!tt!179!
!tu!tt!179!
!zk!tt!179!
!zkst!tt!179!
!\EFF {}utu!tt!179!
!tu\EFF {}u!tt!179!
!GRH!rm!180!
!Buchmann!rm!180!
!GRH!rm!180!
!bn\EFF {}certi\EFF {}y!tt!181!
!GRH!rm!181!
!bn\EFF {}certi\EFF {}y0!tt!181!
!bn\EFF {}certi\EFF {}y!tt!181!
!bn\EFF {}compress!tt!181!
!bn\EFF {}init!tt!181!
!snb\EFF {}!it!181!
!bn\EFF {}!it!181!
!bn\EFF {}compress!tt!182!
!bn\EFF {}decodemodule!tt!182!
!decodemodule!tt!182!
!bn\EFF {}init!tt!182!
!Buchmann!rm!182!
!\EFF {}undamental units!rm!182!
!bn\EFF {}isprincipal!tt!183!
!Smith normal \EFF {}orm!rm!183!
!bnrisprincipal!tt!183!
!bn\EFF {}init0!tt!183!
!Buchall!tt!183!
!n\EFF {}_FORCE!tt!183!
!Buchall_param!tt!183!
!bn\EFF {}isintnorm!tt!183!
!GRH!rm!183!
!bn\EFF {}isnorm!tt!183!
!bn\EFF {}isintnorm!tt!183!
!bn\EFF {}isintnormabs!tt!183!
!bn\EFF {}isnorm!tt!184!
!Galois!rm!184!
!GRH!rm!184!
!bn\EFF {}isintnorm!tt!184!
!bn\EFF {}isnorm!tt!184!
!bn\EFF {}isprincipal!tt!184!
!principal ideal!rm!184!
!bn\EFF {}isprincipal0!tt!185!
!n\EFF {}_GEN!tt!185!
!n\EFF {}_FORCE!tt!185!
!bn\EFF {}issunit!tt!185!
!bn\EFF {}issunit!tt!185!
!bn\EFF {}isunit!tt!185!
!bn\EFF {}isunit!tt!185!
!bn\EFF {}narrow!tt!185!
!Smith normal \EFF {}orm!rm!185!
!buchnarrow!tt!186!
!bn\EFF {}signunit!tt!186!
!signunits!tt!186!
!bn\EFF {}sunit!tt!186!
!bn\EFF {}sunit!tt!186!
!bnrL1!tt!186!
!character!rm!186!
!bnrL1!tt!187!
!bnrclassno!tt!187!
!bnrclassnolist!tt!187!
!bnrclassno0!tt!187!
!bnrclassno!tt!187!
!bnrclassnolist!tt!187!
!bnrclassno!tt!187!
!bnrclassnolist!tt!188!
!bnrconductor!tt!188!
!bnrinit!tt!188!
!bnrconductor0!tt!188!
!bnrconductor!tt!188!
!bnrconductoro\EFF {}char!tt!188!
!character!rm!188!
!bnrconductoro\EFF {}char!tt!188!
!bnrdisc!tt!188!
!bnrdisc0!tt!188!
!bnrdisclist!tt!189!
!bn\EFF {}decodemodule!tt!189!
!bnrclassno!tt!189!
!bnrdisc!tt!189!
!bnrdisclist0!tt!189!
!bnrgaloisapply!tt!189!
!bnrgaloismatrix!tt!189!
!bnrgaloisapply!tt!189!
!bnrgaloismatrix!tt!190!
!bnrgaloismatrix!tt!190!
!bnrautmatrix!tt!190!
!bnrinit!tt!190!
!idealstar!tt!190!
!ideal\EFF {}actor!tt!190!
!bnrinit0!tt!190!
!Buchray!tt!190!
!bnrisconductor!tt!190!
!bnrisconductor0!tt!190!
!bnrisgalois!tt!190!
!galoisinit!tt!190!
!bnrisgalois!tt!191!
!bnrisprincipal!tt!191!
!bnrisprincipal!tt!191!
!isprincipalray!tt!191!
!bnrrootnumber!tt!191!
!character!rm!191!
!Artin L-\EFF {}unction!rm!191!
!Artin root number!rm!191!
!bnrrootnumber!tt!191!
!bnrstark!tt!192!
!galoissubcyclo!tt!192!
!Stark units!rm!192!
!rn\EFF {}kummer!tt!192!
!bnrstark!tt!192!
!dirzetak!tt!192!
!Dedekind!rm!192!
!Dirichlet series!rm!192!
!dirzetak!tt!192!
!\EFF {}actorn\EFF {}!tt!192!
!Trager!rm!192!
!n\EFF {}\EFF {}actor!tt!192!
!van Hoeij!rm!192!
!pol\EFF {}n\EFF {}!tt!193!
!galoisexport!tt!193!
!galoisinit!tt!193!
!galoissub\EFF {}ields!tt!193!
!galoisexport!tt!193!
!galois\EFF {}ixed\EFF {}ield!tt!193!
!galoisinit!tt!193!
!n\EFF {}sub\EFF {}ield!tt!194!
!galois\EFF {}ixed\EFF {}ield!tt!194!
!galoisgetpol!tt!194!
!galoisinit!tt!194!
!n\EFF {}galoisconj!tt!194!
!galoisgetpol!tt!194!
!galoisnbpol!tt!194!
!galoisidenti\EFF {}y!tt!194!
!galoisinit!tt!194!
!galoisexport!tt!194!
!galoisidenti\EFF {}y!tt!194!
!galoisinit!tt!195!
!n\EFF {}init!tt!195!
!galoisinit!tt!196!
!galoisisabelian!tt!196!
!galoisisabelian!tt!196!
!galoisisnormal!tt!196!
!galoisisnormal!tt!196!
!galoispermtopol!tt!196!
!galoispermtopol!tt!196!
!galoissubcyclo!tt!196!
!galoissubcyclo!tt!197!
!galoissub\EFF {}ields!tt!197!
!galoissub\EFF {}ields!tt!197!
!galoissubgroups!tt!197!
!galoissubgroups!tt!198!
!idealadd!tt!198!
!idealadd!tt!198!
!idealaddtoone!tt!198!
!idealaddtoone0!tt!199!
!idealappr!tt!199!
!idealappr0!tt!199!
!idealchinese!tt!199!
!idealchinese!tt!199!
!idealcoprime!tt!199!
!idealcoprime!tt!199!
!idealdiv!tt!199!
!idealdiv0!tt!199!
!idealdiv!tt!199!
!idealdivexact!tt!199!
!ideal\EFF {}actor!tt!199!
!ideal\EFF {}actor!tt!199!
!ideal\EFF {}actorback!tt!199!
!idealred!tt!200!
!n\EFF {}\EFF {}actorback!tt!200!
!ideal\EFF {}actorback!tt!200!
!ideal\EFF {}robenius!tt!200!
!ideal\EFF {}robenius!tt!200!
!idealhn\EFF {}!tt!201!
!Hermite normal \EFF {}orm!rm!201!
!idealhn\EFF {}0!tt!202!
!idealhn\EFF {}!tt!202!
!idealintersect!tt!202!
!idealintersect!tt!202!
!idealinv!tt!202!
!ideal (extended)!rm!202!
!idealinv!tt!202!
!ideallist!tt!202!
!bnrclassnolist!tt!202!
!bnrdisclist!tt!202!
!ideallistarch!tt!203!
!ideallist0!tt!203!
!ideallistarch!tt!203!
!ideallist!tt!203!
!ideallist!tt!203!
!ideallistarch!tt!203!
!ideallog!tt!203!
!znlog!tt!204!
!ideallog!tt!204!
!idealmin!tt!204!
!idealmin!tt!204!
!idealmul!tt!204!
!ideal (extended)!rm!204!
!idealmul0!tt!204!
!idealmul!tt!204!
!idealmulred!tt!204!
!idealnorm!tt!204!
!idealnorm!tt!204!
!idealnumden!tt!204!
!idealnumden!tt!204!
!idealpow!tt!204!
!ideal (extended)!rm!204!
!idealpow0!tt!205!
!idealpow!tt!205!
!idealpows!tt!205!
!idealpowred!tt!205!
!idealprimedec!tt!205!
!prid!it!205!
!idealprimedec_limit_\EFF {}!tt!205!
!idealprincipalunits!tt!205!
!idealprimedec!tt!205!
!idealstar!tt!205!
!idealprincipalunits!tt!206!
!idealramgroups!tt!206!
!rami\EFF {}ication group!rm!206!
!idealramgroups!tt!206!
!idealred!tt!206!
!LLL!rm!206!
!Buchmann!rm!206!
!principal ideal!rm!207!
!idealpow!tt!207!
!bn\EFF {}init!tt!207!
!bn\EFF {}isprincipal!tt!207!
!idealred0!tt!207!
!idealstar!tt!207!
!ideal\EFF {}actor!tt!207!
!ideallog!tt!208!
!Smith normal \EFF {}orm!rm!208!
!idealstar0!tt!208!
!Idealstar!tt!208!
!n\EFF {}_GEN!tt!208!
!n\EFF {}_INIT!tt!208!
!idealtwoelt!tt!208!
!idealtwoelt0!tt!208!
!idealtwoelt!tt!208!
!idealtwoelt2!tt!208!
!idealval!tt!208!
!gpidealval!tt!208!
!idealval!tt!208!
!LONG_MAX!tt!208!
!matalgtobasis!tt!208!
!n\EFF {}algtobasis!tt!208!
!matalgtobasis!tt!208!
!matbasistoalg!tt!208!
!n\EFF {}basistoalg!tt!208!
!matbasistoalg!tt!208!
!modreverse!tt!208!
!modreverse!tt!209!
!newtonpoly!tt!209!
!LONG_MAX!tt!209!
!newtonpoly!tt!209!
!n\EFF {}algtobasis!tt!209!
!algtobasis!tt!209!
!n\EFF {}basis!tt!210!
!integral basis!rm!210!
!round 4!rm!210!
!Ford!rm!210!
!Pauli!rm!210!
!Roblot!rm!210!
!addprimes!tt!211!
!n\EFF {}certi\EFF {}y!tt!211!
!n\EFF {}basis!tt!211!
!n\EFF {}basistoalg!tt!211!
!basistoalg!tt!212!
!n\EFF {}certi\EFF {}y!tt!212!
!n\EFF {}certi\EFF {}y!tt!212!
!n\EFF {}compositum!tt!212!
!compositum!rm!212!
!n\EFF {}compositum!tt!213!
!n\EFF {}detint!tt!213!
!n\EFF {}detint!tt!213!
!n\EFF {}disc!tt!213!
!\EFF {}ield discriminant!rm!213!
!n\EFF {}disc!tt!213!
!n\EFF {}basis!tt!213!
!n\EFF {}eltadd!tt!213!
!n\EFF {}add!tt!214!
!n\EFF {}eltdiv!tt!214!
!n\EFF {}div!tt!214!
!n\EFF {}eltdiveuc!tt!214!
!n\EFF {}diveuc!tt!214!
!n\EFF {}eltdivmodpr!tt!214!
!n\EFF {}modprinit!tt!214!
!n\EFF {}divmodpr!tt!214!
!n\EFF {}eltdivrem!tt!214!
!n\EFF {}divrem!tt!214!
!n\EFF {}eltmod!tt!214!
!n\EFF {}mod!tt!214!
!n\EFF {}eltmul!tt!214!
!n\EFF {}mul!tt!214!
!n\EFF {}eltmulmodpr!tt!214!
!n\EFF {}modprinit!tt!214!
!n\EFF {}mulmodpr!tt!214!
!n\EFF {}eltnorm!tt!214!
!n\EFF {}norm!tt!214!
!n\EFF {}eltpow!tt!214!
!n\EFF {}pow!tt!214!
!n\EFF {}inv!tt!214!
!n\EFF {}sqr!tt!214!
!n\EFF {}eltpowmodpr!tt!214!
!n\EFF {}modprinit!tt!214!
!n\EFF {}powmodpr!tt!215!
!n\EFF {}eltreduce!tt!215!
!n\EFF {}reduce!tt!215!
!n\EFF {}eltreducemodpr!tt!215!
!n\EFF {}reducemodpr!tt!215!
!n\EFF {}elttrace!tt!215!
!n\EFF {}trace!tt!215!
!n\EFF {}eltval!tt!215!
!gpn\EFF {}valrem!tt!215!
!n\EFF {}valrem!tt!215!
!LONG_MAX!tt!215!
!n\EFF {}\EFF {}actor!tt!215!
!n\EFF {}disc!tt!216!
!n\EFF {}basis!tt!216!
!n\EFF {}\EFF {}actor!tt!216!
!n\EFF {}\EFF {}actorback!tt!216!
!n\EFF {}\EFF {}actorback!tt!216!
!n\EFF {}\EFF {}actormod!tt!216!
!idealprimedec!tt!216!
!modprinit!tt!216!
!n\EFF {}\EFF {}actormod!tt!217!
!n\EFF {}galoisapply!tt!217!
!Galois!rm!217!
!galoisapply!tt!217!
!n\EFF {}galoisconj!tt!217!
!Galois!rm!217!
!LLL!rm!218!
!galoisinit!tt!218!
!galoisconj0!tt!218!
!galoisconj!tt!218!
!n\EFF {}grunwaldwang!tt!218!
!n\EFF {}grunwaldwang!tt!219!
!n\EFF {}hilbert!tt!219!
!Hilbert symbol!rm!219!
!n\EFF {}hilbert0!tt!219!
!n\EFF {}hilbert!tt!219!
!n\EFF {}hn\EFF {}!tt!219!
!Hermite normal \EFF {}orm!rm!219!
!n\EFF {}hn\EFF {}0!tt!219!
!n\EFF {}hn\EFF {}!tt!219!
!rn\EFF {}simpli\EFF {}ybasis!tt!219!
!n\EFF {}hn\EFF {}mod!tt!219!
!Hermite normal \EFF {}orm!rm!219!
!n\EFF {}hn\EFF {}mod!tt!219!
!n\EFF {}init!tt!219!
!idealinv!tt!220!
!n\EFF {}newprec!tt!220!
!n\EFF {}basis!tt!221!
!n\EFF {}basis!tt!221!
!addprimes!tt!221!
!n\EFF {}certi\EFF {}y!tt!221!
!polredbest!tt!221!
!n\EFF {}init0!tt!221!
!n\EFF {}init!tt!221!
!n\EFF {}initred!tt!221!
!n\EFF {}initred2!tt!221!
!n\EFF {}initall!tt!221!
!n\EFF {}_RED!tt!221!
!n\EFF {}_ORIG!tt!221!
!n\EFF {}_RED!tt!221!
!n\EFF {}_ROUND2!tt!221!
!n\EFF {}_PARTIALFACT!tt!221!
!n\EFF {}isideal!tt!221!
!isideal!tt!221!
!n\EFF {}isincl!tt!221!
!n\EFF {}\EFF {}actor!tt!221!
!n\EFF {}isincl!tt!222!
!n\EFF {}isisom!tt!222!
!n\EFF {}isincl!tt!222!
!n\EFF {}isisom!tt!222!
!n\EFF {}kermodpr!tt!222!
!n\EFF {}kermodpr!tt!222!
!n\EFF {}modprinit!tt!222!
!modpr!tt!222!
!n\EFF {}modprinit!tt!222!
!n\EFF {}newprec!tt!222!
!n\EFF {}newprec!tt!222!
!bn\EFF {}newprec!tt!222!
!bnrnewprec!tt!222!
!n\EFF {}roots!tt!222!
!addprimes!tt!222!
!n\EFF {}roots!tt!222!
!n\EFF {}rootsQ!tt!222!
!n\EFF {}rootso\EFF {}1!tt!222!
!rootso\EFF {}1!tt!223!
!rootso\EFF {}1_kannan!tt!223!
!n\EFF {}sn\EFF {}!tt!223!
!Smith normal \EFF {}orm!rm!223!
!n\EFF {}sn\EFF {}0!tt!223!
!n\EFF {}sn\EFF {}!tt!223!
!n\EFF {}solvemodpr!tt!223!
!n\EFF {}solvemodpr!tt!223!
!n\EFF {}splitting!tt!224!
!n\EFF {}splitting!tt!224!
!n\EFF {}sub\EFF {}ields!tt!224!
!galoissub\EFF {}ields!tt!224!
!Galois!rm!224!
!sub\EFF {}ield!rm!224!
!n\EFF {}sub\EFF {}ields!tt!224!
!polcompositum!tt!224!
!compositum!rm!224!
!polcompositum0!tt!225!
!compositum!tt!225!
!compositum2!tt!225!
!polgalois!tt!225!
!Galois!rm!225!
!galdata!tt!225!
!new_galois_\EFF {}ormat!tt!226!
!polgalois!tt!226!
!new_galois_\EFF {}ormat!tt!226!
!polred!tt!226!
!polredbest!tt!226!
!n\EFF {}init!tt!226!
!primelimit!tt!227!
!addprimes!tt!227!
!polred!tt!227!
!polred2!tt!227!
!polredabs!tt!227!
!n\EFF {}init!tt!227!
!n\EFF {}certi\EFF {}y!tt!227!
!polredbest!tt!227!
!polredbest!tt!227!
!polredabs0!tt!228!
!n\EFF {}_PARTIALFACT!tt!228!
!n\EFF {}_ORIG!tt!228!
!n\EFF {}_RAW!tt!228!
!n\EFF {}_ORIG!tt!228!
!modreverse!tt!228!
!n\EFF {}_ADDZK!tt!228!
!n\EFF {}_ALL!tt!228!
!polredbest!tt!228!
!n\EFF {}init!tt!228!
!polredabs!tt!228!
!polredabs!tt!229!
!polredbest!tt!229!
!polredord!tt!229!
!polredord!tt!229!
!poltschirnhaus!tt!229!
!tschirnhaus!tt!229!
!rn\EFF {}algtobasis!tt!229!
!rn\EFF {}algtobasis!tt!229!
!rn\EFF {}basis!tt!229!
!rn\EFF {}basis!tt!230!
!rn\EFF {}basistoalg!tt!230!
!rn\EFF {}basistoalg!tt!230!
!rn\EFF {}charpoly!tt!230!
!rn\EFF {}charpoly!tt!230!
!rn\EFF {}conductor!tt!230!
!Abelian extension!rm!230!
!rn\EFF {}conductor!tt!230!
!rn\EFF {}dedekind!tt!230!
!Dedekind!rm!230!
!rn\EFF {}dedekind!tt!231!
!rn\EFF {}det!tt!231!
!rn\EFF {}det!tt!231!
!rn\EFF {}disc!tt!231!
!rn\EFF {}disc\EFF {}!tt!231!
!rn\EFF {}eltabstorel!tt!231!
!rn\EFF {}eltabstorel!tt!232!
!rn\EFF {}eltdown!tt!232!
!rn\EFF {}eltdown!tt!232!
!rn\EFF {}eltnorm!tt!232!
!rn\EFF {}eltnorm!tt!232!
!rn\EFF {}eltreltoabs!tt!232!
!rn\EFF {}eltreltoabs!tt!233!
!rn\EFF {}elttrace!tt!233!
!rn\EFF {}elttrace!tt!233!
!rn\EFF {}eltup!tt!233!
!rn\EFF {}eltup!tt!233!
!rn\EFF {}equation!tt!233!
!rn\EFF {}equation0!tt!234!
!rn\EFF {}equation!tt!234!
!rn\EFF {}equation2!tt!234!
!rn\EFF {}hn\EFF {}basis!tt!234!
!rn\EFF {}hn\EFF {}basis!tt!234!
!rn\EFF {}idealabstorel!tt!234!
!rn\EFF {}idealabstorel!tt!235!
!rn\EFF {}idealdown!tt!235!
!rn\EFF {}idealdown!tt!235!
!rn\EFF {}idealhn\EFF {}!tt!235!
!rn\EFF {}idealhn\EFF {}!tt!235!
!rn\EFF {}idealmul!tt!235!
!rn\EFF {}idealmul!tt!235!
!rn\EFF {}idealnormabs!tt!235!
!rn\EFF {}idealnormabs!tt!236!
!rn\EFF {}idealnormrel!tt!236!
!rn\EFF {}idealnormrel!tt!236!
!rn\EFF {}idealreltoabs!tt!236!
!rn\EFF {}idealreltoabs!tt!236!
!rn\EFF {}idealtwoelt!tt!236!
!rn\EFF {}idealtwoelement!tt!236!
!rn\EFF {}idealup!tt!236!
!rn\EFF {}idealup!tt!236!
!rn\EFF {}init!tt!236!
!rn\EFF {}init!tt!238!
!rn\EFF {}isabelian!tt!238!
!rn\EFF {}isabelian!tt!238!
!rn\EFF {}is\EFF {}ree!tt!238!
!rn\EFF {}is\EFF {}ree!tt!238!
!rn\EFF {}isnorm!tt!238!
!rn\EFF {}isnorminit!tt!238!
!GRH!rm!238!
!rn\EFF {}isnorminit!tt!238!
!Galois!rm!238!
!rn\EFF {}isnorm!tt!238!
!rn\EFF {}isnorminit!tt!238!
!rn\EFF {}isnorm!tt!238!
!rn\EFF {}isnorm!tt!239!
!rn\EFF {}isnorminit!tt!239!
!rn\EFF {}kummer!tt!239!
!rn\EFF {}kummer!tt!239!
!rn\EFF {}lllgram!tt!239!
!rn\EFF {}lllgram!tt!239!
!rn\EFF {}normgroup!tt!239!
!Abelian extension!rm!239!
!rn\EFF {}normgroup!tt!239!
!rn\EFF {}polred!tt!239!
!rn\EFF {}polredbest!tt!239!
!rn\EFF {}polred!tt!239!
!rn\EFF {}polredabs!tt!239!
!rn\EFF {}polredbest!tt!239!
!rn\EFF {}polredbest!tt!240!
!rn\EFF {}polredabs!tt!240!
!rn\EFF {}polredbest!tt!240!
!rn\EFF {}polredabs!tt!240!
!rn\EFF {}polredbest!tt!241!
!rn\EFF {}pseudobasis!tt!241!
!rn\EFF {}pseudobasis!tt!241!
!rn\EFF {}steinitz!tt!241!
!Steinitz class!rm!241!
!rn\EFF {}steinitz!tt!241!
!subgrouplist!tt!241!
!bnrstark!tt!242!
!rn\EFF {}kummer!tt!242!
!subgrouplist0!tt!242!
!zetak!tt!242!
!Dedekind!rm!242!
!gzetakall!tt!242!
!glambdak!tt!242!
!gzetak!tt!242!
!zetakinit!tt!242!
!Dedekind!rm!242!
!initzeta!tt!243!
!algabsdim!tt!244!
!alginit!tt!244!
!algtableinit!tt!244!
!algabsdim!tt!244!
!algadd!tt!244!
!algadd!tt!244!
!algalgtobasis!tt!244!
!alginit!tt!244!
!algbasistoalg!tt!244!
!algalgtobasis!tt!245!
!algaut!tt!245!
!alginit!tt!245!
!algaut!tt!245!
!algb!tt!245!
!alginit!tt!245!
!algb!tt!245!
!algbasis!tt!245!
!alginit!tt!245!
!algbasis!tt!245!
!algbasistoalg!tt!245!
!alginit!tt!245!
!algalgtobasis!tt!245!
!algbasistoalg!tt!246!
!algcenter!tt!246!
!algtableinit!tt!246!
!alginit!tt!246!
!gp_algcenter!tt!246!
!algcentralproj!tt!246!
!algtableinit!tt!246!
!alg_centralproj!tt!246!
!algchar!tt!247!
!alginit!tt!247!
!algtableinit!tt!247!
!algchar!tt!247!
!algcharpoly!tt!247!
!algtableinit!tt!247!
!alginit!tt!247!
!algcharpoly!tt!247!
!algdecomposition!tt!247!
!algtableinit!tt!247!
!alg_decomposition!tt!247!
!algdegree!tt!247!
!alginit!tt!247!
!algdegree!tt!247!
!algdim!tt!247!
!alginit!tt!247!
!algtableinit!tt!247!
!algdim!tt!247!
!algdisc!tt!247!
!alginit!tt!247!
!algdisc!tt!248!
!algdivl!tt!248!
!algdivl!tt!248!
!algdivr!tt!248!
!algdivr!tt!248!
!alghasse!tt!248!
!alginit!tt!248!
!alghasse!tt!248!
!alghasse\EFF {}!tt!248!
!alginit!tt!248!
!alghasse\EFF {}!tt!249!
!alghassei!tt!249!
!alginit!tt!249!
!alghassei!tt!249!
!algindex!tt!249!
!algindex!tt!249!
!alginit!tt!249!
!n\EFF {}init!tt!249!
!alginit!tt!251!
!alginv!tt!251!
!alginv!tt!252!
!alginvbasis!tt!252!
!alginit!tt!252!
!alginvbasis!tt!252!
!algisassociative!tt!252!
!algtableinit!tt!252!
!algisassociative!tt!252!
!algiscommutative!tt!252!
!algtableinit!tt!252!
!alginit!tt!252!
!algiscommutative!tt!252!
!algisdivision!tt!252!
!alginit!tt!252!
!algisdivision!tt!253!
!algisdivl!tt!253!
!algisdivl!tt!253!
!algisinv!tt!253!
!algisinv!tt!253!
!algisrami\EFF {}ied!tt!253!
!alginit!tt!253!
!algisrami\EFF {}ied!tt!254!
!algissemisimple!tt!254!
!algtableinit!tt!254!
!alginit!tt!254!
!algissemisimple!tt!254!
!algissimple!tt!254!
!algtableinit!tt!254!
!alginit!tt!254!
!algissimple!tt!255!
!algissplit!tt!255!
!alginit!tt!255!
!algissplit!tt!255!
!algmul!tt!255!
!algmul!tt!255!
!algmultable!tt!255!
!algtableinit!tt!255!
!alginit!tt!255!
!gp_algmultable!tt!256!
!algneg!tt!256!
!algneg!tt!256!
!algnorm!tt!256!
!algtableinit!tt!256!
!alginit!tt!256!
!algnorm!tt!256!
!algpoleval!tt!256!
!algpoleval!tt!257!
!algpow!tt!257!
!algpow!tt!257!
!algprimesubalg!tt!257!
!algtableinit!tt!257!
!algprimesubalg!tt!257!
!algquotient!tt!257!
!algtableinit!tt!257!
!alg_quotient!tt!257!
!algradical!tt!257!
!algtableinit!tt!257!
!algradical!tt!258!
!algrami\EFF {}iedplaces!tt!258!
!alginit!tt!258!
!algrami\EFF {}iedplaces!tt!258!
!algrandom!tt!258!
!algrandom!tt!258!
!algrelmultable!tt!258!
!alginit!tt!258!
!algrelmultable!tt!259!
!algsimpledec!tt!259!
!algtableinit!tt!259!
!algsimpledec!tt!259!
!algsplittingdata!tt!259!
!alginit!tt!259!
!algsplittingdata!tt!260!
!algsplitting\EFF {}ield!tt!260!
!alginit!tt!260!
!algsplitting\EFF {}ield!tt!260!
!algsplittingmatrix!tt!260!
!alginit!tt!260!
!algsplittingmatrix!tt!261!
!algsqr!tt!261!
!algsqr!tt!261!
!algsub!tt!261!
!algsub!tt!261!
!algsubalg!tt!261!
!algtableinit!tt!261!
!algsubalg!tt!261!
!algtableinit!tt!261!
!alginit!tt!261!
!algtableinit!tt!262!
!algtensor!tt!262!
!algtableinit!tt!262!
!alginit!tt!262!
!algtensor!tt!262!
!algtrace!tt!262!
!algtableinit!tt!262!
!alginit!tt!262!
!algtrace!tt!262!
!algtype!tt!263!
!alginit!tt!263!
!algtableinit!tt!263!
!algtableinit!tt!263!
!alginit!tt!263!
!alginit!tt!263!
!algtype!tt!263!
!O!tt!264!
!ggrando!tt!264!
!zeropadic!tt!264!
!zeroser!tt!264!
!bezoutres!tt!264!
!polresultantext0!tt!264!
!deriv!tt!264!
!deriv!tt!264!
!di\EFF {}\EFF {}op!tt!264!
!di\EFF {}\EFF {}op0!tt!265!
!di\EFF {}\EFF {}op!tt!265!
!eval!tt!265!
!geval!tt!265!
!\EFF {}actorpadic!tt!265!
!round 4!rm!266!
!Zassenhaus!rm!266!
!truncate!tt!266!
!\EFF {}actorpadic!tt!266!
!int\EFF {}ormal!tt!266!
!\EFF {}ormal integration!rm!266!
!integ!tt!266!
!padicappr!tt!266!
!padicappr!tt!267!
!Zp_appr!tt!267!
!padic\EFF {}ields!tt!267!
!padic\EFF {}ields0!tt!267!
!padic\EFF {}ields!tt!267!
!polchebyshev!tt!267!
!Chebyshev!rm!267!
!polchebyshev_eval!tt!267!
!polchebyshev!tt!267!
!polchebyshev1!tt!267!
!polchebyshev2!tt!267!
!polclass!tt!267!
!polclass!tt!267!
!polcoe\EFF {}\EFF {}!tt!267!
!polcoe\EFF {}\EFF {}0!tt!268!
!polcyclo!tt!268!
!polcyclo_eval!tt!268!
!polcyclo!tt!268!
!polcyclo\EFF {}actors!tt!268!
!polcyclo\EFF {}actors!tt!268!
!poldegree!tt!268!
!gppoldegree!tt!268!
!poldegree!tt!268!
!-LONG_MAX!tt!268!
!poldisc!tt!269!
!subresultant algorithm!rm!269!
!poldisc0!tt!269!
!poldiscreduced!tt!269!
!reduceddiscsmith!tt!269!
!polgrae\EFF {}\EFF {}e!tt!269!
!Grae\EFF {}\EFF {}e!rm!269!
!polgrae\EFF {}\EFF {}e!tt!269!
!polhenselli\EFF {}t!tt!269!
!polhenselli\EFF {}t!tt!269!
!polhermite!tt!269!
!Hermite!rm!269!
!polhermite_eval!tt!269!
!polhermite!tt!269!
!polinterpolate!tt!269!
!interpolating polynomial!rm!269!
!polint!tt!269!
!poliscyclo!tt!270!
!poliscyclo!tt!270!
!poliscycloprod!tt!270!
!poliscycloprod!tt!270!
!polisirreducible!tt!270!
!isirreducible!tt!270!
!pollead!tt!270!
!pollead!tt!270!
!pollegendre!tt!270!
!Legendre polynomial!rm!270!
!pollegendre_eval!tt!270!
!pollegendre!tt!270!
!polmodular!tt!270!
!polmodular!tt!271!
!polmodular_ZXX!tt!271!
!polmodular_ZM!tt!271!
!Fp_polmodular_evalx!tt!271!
!polrecip!tt!271!
!polrecip!tt!271!
!polresultant!tt!271!
!polresultantext!tt!271!
!subresultant algorithm!rm!271!
!polresultant0!tt!271!
!polresultantext!tt!271!
!polresultantext0!tt!272!
!polresultantext!tt!272!
!polroots!tt!272!
!Sch\"onage!rm!272!
!roots!tt!272!
!polrootsmod!tt!272!
!rootmod0!tt!272!
!polrootspadic!tt!272!
!truncate!tt!272!
!rootpadic!tt!272!
!polrootsreal!tt!272!
!realroots!tt!273!
!polsturm!tt!273!
!polrootsreal!tt!273!
!RgX_sturmpart!tt!273!
!sturm!tt!273!
!sturmpart!tt!273!
!polsubcyclo!tt!273!
!galoissubcyclo!tt!274!
!polsubcyclo!tt!274!
!polsylvestermatrix!tt!274!
!sylvestermatrix!tt!274!
!polsym!tt!274!
!symmetric powers!rm!274!
!polsym!tt!274!
!poltchebi!tt!274!
!polchebyshev1!tt!274!
!polzagier!tt!274!
!polzag!tt!274!
!serconvol!tt!274!
!Hadamard product!rm!274!
!convol!tt!274!
!serlaplace!tt!274!
!laplace!tt!274!
!serreverse!tt!274!
!serreverse!tt!275!
!subst!tt!275!
!gsubst!tt!275!
!substpol!tt!275!
!gsubstpol!tt!275!
!gde\EFF {}late!tt!275!
!substvec!tt!275!
!gsubstvec!tt!276!
!sum\EFF {}ormal!tt!276!
!\EFF {}ormal sum!rm!276!
!sum\EFF {}ormal!tt!276!
!taylor!tt!276!
!Ser!tt!276!
!tayl!tt!276!
!thue!tt!276!
!thueinit!tt!276!
!thue!tt!277!
!thueinit!tt!277!
!thue!tt!277!
!GRH!rm!278!
!thue!tt!278!
!thueinit!tt!278!
!mathn\EFF {}!tt!278!
!q\EFF {}lll!tt!278!
!algdep!tt!279!
!algebraic dependence!rm!279!
!subst!tt!279!
!polroots!tt!279!
!polrootspadic!tt!279!
!lindep!tt!279!
!algdep0!tt!279!
!algdep!tt!279!
!charpoly!tt!280!
!characteristic polynomial!rm!280!
!charpoly0!tt!280!
!charpoly!tt!280!
!caract!tt!280!
!carhess!tt!280!
!carberkowitz!tt!280!
!caradj!tt!280!
!matadjoint!tt!280!
!concat!tt!280!
!matconcat!tt!280!
!Mat!tt!281!
!matconcat!tt!281!
!concat!tt!282!
!concat1!tt!282!
!\EFF {}orq\EFF {}vec!tt!282!
!\EFF {}orq\EFF {}vec0!tt!282!
!\EFF {}orq\EFF {}vec!tt!282!
!lindep!tt!282!
!linear dependence!rm!282!
!lindep0!tt!283!
!lindep!tt!283!
!lindep2!tt!283!
!padic_lindep!tt!283!
!Xadic_lindep!tt!283!
!deplin!tt!283!
!matadjoint!tt!283!
!adjoint matrix!rm!283!
!matadjoint0!tt!283!
!adj!tt!283!
!adjsa\EFF {}e!tt!283!
!matcompanion!tt!283!
!matcompanion!tt!283!
!matconcat!tt!283!
!matconcat!tt!285!
!matdet!tt!285!
!det0!tt!285!
!det!tt!285!
!det2!tt!285!
!ZM_det!tt!285!
!matdetint!tt!285!
!detint!tt!285!
!matdiagonal!tt!285!
!matconcat!tt!285!
!diagonal!tt!286!
!mateigen!tt!286!
!q\EFF {}jacobi!tt!286!
!mateigen!tt!286!
!eigen!tt!286!
!mat\EFF {}robenius!tt!287!
!mat\EFF {}robenius!tt!287!
!mathess!tt!287!
!hess!tt!287!
!mathilbert!tt!287!
!Hilbert matrix!rm!287!
!mathilbert!tt!287!
!mathn\EFF {}!tt!287!
!Hermite normal \EFF {}orm!rm!287!
!matsn\EFF {}!tt!287!
!LLL!rm!287!
!Mat!tt!288!
!mathn\EFF {}0!tt!289!
!hn\EFF {}!tt!289!
!hn\EFF {}all!tt!289!
!mathn\EFF {}mod!tt!289!
!Hermite normal \EFF {}orm!rm!289!
!hn\EFF {}mod!tt!289!
!mathn\EFF {}modid!tt!289!
!Hermite normal \EFF {}orm!rm!289!
!hn\EFF {}modid!tt!289!
!mathouseholder!tt!289!
!Householder trans\EFF {}orm!rm!289!
!mathouseholder!tt!289!
!matid!tt!289!
!matid!tt!289!
!matimage!tt!289!
!matimage0!tt!289!
!image!tt!289!
!matimagecompl!tt!290!
!imagecompl!tt!290!
!matindexrank!tt!290!
!vecextract!tt!290!
!indexrank!tt!290!
!matintersect!tt!290!
!idealintersect!tt!290!
!n\EFF {}hn\EFF {}!tt!290!
!intersect!tt!290!
!matinverseimage!tt!290!
!inverseimage!tt!290!
!matisdiagonal!tt!290!
!isdiagonal!tt!290!
!matker!tt!290!
!matker0!tt!291!
!ker!tt!291!
!keri!tt!291!
!matkerint!tt!291!
!LLL!rm!291!
!matkerint0!tt!291!
!kerint!tt!291!
!Q_primpart!tt!291!
!matmuldiagonal!tt!291!
!matmuldiagonal!tt!291!
!matmultodiagonal!tt!291!
!matmultodiagonal!tt!291!
!matpascal!tt!291!
!Pascal triangle!rm!291!
!matqpascal!tt!291!
!matpascal!tt!291!
!matqr!tt!291!
!QR-decomposition!rm!291!
!Householder trans\EFF {}orm!rm!291!
!matqr!tt!291!
!matrank!tt!291!
!rank!tt!291!
!matrix!tt!291!
!matrixqz!tt!292!
!matrixqz0!tt!292!
!matsize!tt!292!
!matsize!tt!292!
!matsn\EFF {}!tt!292!
!elementary divisors!rm!292!
!Smith normal \EFF {}orm!rm!292!
!matsn\EFF {}0!tt!293!
!matsolve!tt!293!
!gauss!tt!293!
!ZM_gauss!tt!293!
!matsolvemod!tt!293!
!matsolvemod0!tt!293!
!gaussmodulo!tt!293!
!gaussmodulo2!tt!293!
!matsupplement!tt!293!
!suppl!tt!294!
!mattranspose!tt!294!
!gtrans!tt!294!
!minpoly!tt!294!
!minimal polynomial!rm!294!
!minpoly!tt!294!
!norml2!tt!294!
!gnorml2!tt!294!
!normlp!tt!294!
!gnormlp!tt!295!
!q\EFF {}auto!tt!295!
!q\EFF {}auto0!tt!295!
!q\EFF {}auto!tt!295!
!q\EFF {}autoexport!tt!295!
!q\EFF {}auto!tt!295!
!q\EFF {}autoexport!tt!295!
!q\EFF {}bil!tt!296!
!q\EFF {}norm!tt!296!
!q\EFF {}bil!tt!296!
!q\EFF {}gaussred!tt!296!
!decomposition into squares!rm!296!
!q\EFF {}gaussred!tt!296!
!q\EFF {}gaussred_positive!tt!296!
!q\EFF {}isom!tt!297!
!q\EFF {}isom0!tt!297!
!q\EFF {}isom!tt!297!
!q\EFF {}isominit!tt!297!
!q\EFF {}isominit0!tt!297!
!q\EFF {}isominit!tt!297!
!q\EFF {}jacobi!tt!297!
!jacobi!tt!298!
!q\EFF {}lll!tt!298!
!LLL!rm!298!
!q\EFF {}lll0!tt!298!
!lll!tt!298!
!lllint!tt!298!
!lllkerim!tt!298!
!q\EFF {}lllgram!tt!298!
!q\EFF {}lll!tt!298!
!q\EFF {}lllgram0!tt!299!
!lllgram!tt!299!
!lllgramint!tt!299!
!lllgramkerim!tt!299!
!q\EFF {}minim!tt!299!
!Leech lattice!rm!300!
!minimal vector!rm!300!
!q\EFF {}minim0!tt!300!
!minim!tt!300!
!minim2!tt!300!
!minim_raw!tt!300!
!q\EFF {}norm!tt!300!
!q\EFF {}bil!tt!301!
!q\EFF {}norm!tt!301!
!q\EFF {}param!tt!301!
!q\EFF {}param!tt!301!
!q\EFF {}per\EFF {}ection!tt!301!
!per\EFF {}!tt!301!
!q\EFF {}rep!tt!301!
!q\EFF {}minim!tt!302!
!q\EFF {}rep0!tt!302!
!q\EFF {}sign!tt!302!
!q\EFF {}sign!tt!302!
!q\EFF {}solve!tt!302!
!q\EFF {}solve!tt!302!
!seralgdep!tt!302!
!algebraic dependence!rm!302!
!seralgdep!tt!303!
!setbinop!tt!303!
!setbinop!tt!303!
!setintersect!tt!303!
!setintersect!tt!303!
!setisset!tt!303!
!setisset!tt!303!
!setminus!tt!303!
!setminus!tt!303!
!setsearch!tt!303!
!cmp!tt!304!
!listsort!tt!304!
!setsearch!tt!304!
!setunion!tt!304!
!setunion!tt!304!
!trace!tt!304!
!gtrace!tt!304!
!vecextract!tt!304!
!extract0!tt!305!
!vecsearch!tt!305!
!vecsort!tt!306!
!vecsearch!tt!306!
!vecsort!tt!306!
!sign!tt!306!
!vecsort0!tt!307!
!vecsum!tt!307!
!vecsum!tt!307!
!vector!tt!307!
!vectorsmall!tt!308!
!vectorv!tt!308!
!vector!tt!308!
!numerical integration!rm!308!
!intnum!tt!308!
!asympnum!tt!309!
!asympnum!tt!309!
!asympnum0!tt!309!
!cont\EFF {}raceval!tt!310!
!cont\EFF {}raceval!tt!310!
!cont\EFF {}racinit!tt!310!
!cont\EFF {}racinit!tt!310!
!derivnum!tt!310!
!derivnum!tt!310!
!deriv\EFF {}un!tt!310!
!intcirc!tt!310!
!intcirc!tt!310!
!int\EFF {}uncinit!tt!310!
!int\EFF {}uncinit!tt!312!
!intnum!tt!312!
!intnuminit!tt!313!
!sumalt!tt!316!
!intnum!tt!316!
!intnumgauss!tt!316!
!intnumgauss0!tt!317!
!intnumgaussinit!tt!317!
!intnumgauss!tt!317!
!intnumgaussinit!tt!317!
!intnuminit!tt!318!
!int\EFF {}uncinit!tt!318!
!intnuminit!tt!318!
!intnumromb!tt!318!
!intnum!tt!318!
!in\EFF {}inity!rm!319!
!intnumromb!tt!319!
!limitnum!tt!319!
!limitnum!tt!320!
!limitnum0!tt!320!
!prod!tt!320!
!eta!tt!320!
!produit!tt!321!
!prodeuler!tt!321!
!Euler product!rm!321!
!prodeuler!tt!321!
!prodin\EFF {}!tt!321!
!in\EFF {}inite product!rm!321!
!prodin\EFF {}!tt!321!
!prodin\EFF {}1!tt!321!
!solve!tt!321!
!zbrent!tt!321!
!sum!tt!321!
!somme!tt!321!
!sumalt!tt!321!
!alternating series!rm!321!
!polzagier!tt!321!
!sumin\EFF {}!tt!322!
!sumalt!tt!322!
!sumalt2!tt!322!
!sumdiv!tt!322!
!sumdivmult!tt!323!
!sumdivmult!tt!323!
!sumin\EFF {}!tt!323!
!in\EFF {}inite sum!rm!323!
!sumalt!tt!323!
!sumpos!tt!323!
!sumin\EFF {}!tt!323!
!sumnum!tt!323!
!sumnummonien!tt!323!
!sumnum!tt!325!
!sumnuminit!tt!325!
!intnum!tt!325!
!sumnuminit!tt!326!
!sumnummonien!tt!326!
!sumnummonien0!tt!326!
!sumnummonieninit!tt!326!
!sumnummonieninit!tt!328!
!sumpos!tt!328!
!sumalt!tt!328!
!sumalt!tt!328!
!sumalt!tt!328!
!sumpos!tt!328!
!sumpos2!tt!328!
!Qt!tt!328!
!\EFF {}ltk!tt!328!
!PostScript!tt!329!
!ps\EFF {}ile!tt!329!
!plot!tt!330!
!plotbox!tt!330!
!plotclip!tt!330!
!plotcopy!tt!330!
!plotcolor!tt!330!
!graphcolormap!tt!330!
!plotcopy!tt!330!
!plotcursor!tt!330!
!plotdraw!tt!330!
!ploth!tt!330!
!parametric plot!it!331!
!recursive plot!it!331!
!plotscale!tt!331!
!plotrecth!tt!331!
!plothraw!tt!332!
!plothsizes!tt!332!
!plotinit!tt!332!
!plothsizes!tt!332!
!plotkill!tt!332!
!plotlines!tt!333!
!plotlinetype!tt!333!
!plotmove!tt!333!
!plotpoints!tt!333!
!plotpointsize!tt!333!
!plotpointtype!tt!333!
!plotrbox!tt!333!
!plotrecth!tt!333!
!plotrecthraw!tt!333!
!plotrline!tt!333!
!plotrmove!tt!334!
!plotrpoint!tt!334!
!plotscale!tt!334!
!plotstring!tt!334!
!psdraw!tt!334!
!psploth!tt!334!
!psplothraw!tt!334!
!programming!rm!334!
!break!tt!335!
!breakpoint!tt!335!
!dbg_down!tt!335!
!dbg_err!tt!335!
!i\EFF {}err!tt!335!
!dbg_up!tt!336!
!dbg_up!tt!336!
!dbg_down!tt!336!
!dbg_x!tt!336!
!\EFF {}or!tt!336!
!\EFF {}orcomposite!tt!336!
!\EFF {}ordiv!tt!336!
!divisors!tt!336!
!\EFF {}orell!tt!337!
!elldata!tt!337!
!\EFF {}orell!tt!337!
!\EFF {}orpart!tt!337!
!\EFF {}orpart!tt!338!
!\EFF {}orprime!tt!338!
!\EFF {}orstep!tt!338!
!\EFF {}orsubgroup!tt!339!
!Smith normal \EFF {}orm!rm!339!
!subgroup!rm!339!
!subgrouplist!tt!339!
!galoissubcyclo!tt!339!
!galois\EFF {}ixed\EFF {}ield!tt!339!
!Galois!rm!339!
!\EFF {}orsubgroup!tt!339!
!\EFF {}orvec!tt!339!
!i\EFF {}!tt!340!
!i\EFF {}err!tt!340!
!component!tt!340!
!error(E)!tt!340!
!pari_malloc!tt!342!
!pari_realloc!tt!342!
!alarm!tt!343!
!error!tt!343!
!next!tt!343!
!return!tt!343!
!sel\EFF {}!tt!344!
!until!tt!344!
!while!tt!344!
!Strprint\EFF {}!tt!344!
!addhelp!tt!344!
!addhelp!tt!344!
!addhelp!tt!345!
!alarm!tt!345!
!\EFF {}actor_add_primes!tt!345!
!gp_alarm!tt!345!
!alias!tt!345!
!alias0!tt!346!
!allocatemem!tt!346!
!parisizemax!tt!347!
!parisizemax!tt!347!
!parisize!tt!347!
!parisizemax!tt!347!
!breakloop!tt!347!
!gp_allocatemem!tt!348!
!apply!tt!348!
!genapply!tt!349!
!de\EFF {}ault!tt!349!
!de\EFF {}ault0!tt!349!
!errname!tt!349!
!errname!tt!349!
!error!tt!349!
!extern!tt!349!
!gpextern!tt!349!
!externstr!tt!349!
!externstr!tt!349!
!\EFF {}old!tt!349!
!gen\EFF {}old!tt!350!
!getabstime!tt!350!
!getwalltime!tt!350!
!getabstime!tt!350!
!getenv!tt!350!
!gp_getenv!tt!350!
!getheap!tt!350!
!getheap!tt!350!
!getrand!tt!350!
!random!tt!350!
!setrand!tt!350!
!getrand!tt!350!
!getstack!tt!350!
!getstack!tt!350!
!gettime!tt!350!
!getabstime!tt!350!
!getwalltime!tt!350!
!gettime!tt!350!
!getwalltime!tt!350!
!getwalltime!tt!351!
!global!tt!351!
!inline!tt!351!
!input!tt!351!
!gp_input!tt!351!
!install!tt!351!
!system!tt!351!
!gpinstall!tt!352!
!kill!tt!352!
!quote!rm!352!
!kill0!tt!353!
!listcreate!tt!353!
!listinsert!tt!353!
!listinsert!tt!353!
!listkill!tt!353!
!listkill!tt!353!
!listpop!tt!353!
!listpop0!tt!353!
!listput!tt!353!
!listput0!tt!353!
!listsort!tt!353!
!cmp!tt!353!
!setsearch!tt!353!
!listsort!tt!354!
!localprec!tt!354!
!realprecision!tt!354!
!solve!tt!354!
!intnum!tt!354!
!local!tt!354!
!my!tt!354!
!mapdelete!tt!355!
!mapdelete!tt!355!
!mapget!tt!355!
!mapget!tt!355!
!mapisde\EFF {}ined!tt!355!
!mapisde\EFF {}ined!tt!356!
!mapput!tt!356!
!mapget!tt!356!
!mapput!tt!356!
!print!tt!356!
!print1!tt!356!
!print\EFF {}!tt!356!
!print\EFF {}!tt!359!
!printsep!tt!359!
!printsep1!tt!359!
!printtex!tt!359!
!log!tt!359!
!log\EFF {}ile!rm!359!
!quit!tt!359!
!read!tt!359!
!binary \EFF {}ile!tt!359!
!allocatemem!tt!359!
!gp_read_\EFF {}ile!tt!360!
!readstr!tt!360!
!readstr!tt!360!
!readvec!tt!360!
!gp_readvec_\EFF {}ile!tt!360!
!gp_readvec_stream!tt!360!
!select!tt!360!
!genselect!tt!361!
!genindexselect!tt!361!
!setrand!tt!361!
!setrand!tt!361!
!system!tt!361!
!gpsystem!tt!361!
!trap!tt!361!
!i\EFF {}err!tt!361!
!trap!tt!361!
!trap0!tt!362!
!type!tt!362!
!type0!tt!362!
!uninline!tt!362!
!version!tt!362!
!pari_version!tt!363!
!warning!tt!363!
!whatnow!tt!363!
!write!tt!363!
!write1!tt!364!
!writebin!tt!364!
!write!tt!364!
!read!tt!364!
!gzip!tt!364!
!binary \EFF {}ile!rm!364!
!gpwritebin!tt!364!
!writetex!tt!364!
!parapply!tt!364!
!parapply!tt!365!
!pareval!tt!365!
!pareval!tt!365!
!par\EFF {}or!tt!365!
!par\EFF {}orprime!tt!365!
!par\EFF {}orvec!tt!365!
!parselect!tt!365!
!parselect!tt!365!
!parsum!tt!365!
!parvector!tt!366!
!parisize!tt!366!
!parisizemax!tt!366!
!TeXstyle!tt!366!
!breakloop!tt!366!
!colors!tt!366!
!compatible!tt!367!
!datadir!tt!367!
!debug!tt!367!
!debug\EFF {}iles!tt!367!
!debugmem!tt!367!
!echo!tt!367!
!de\EFF {},\EFF {}actor_add_primes!tt!367!
!addprimes!tt!367!
!removeprimes!tt!367!
!de\EFF {},\EFF {}actor_proven!tt!367!
!addprimes!tt!367!
!\EFF {}ormat!tt!368!
!scienti\EFF {}ic \EFF {}ormat!rm!368!
!\EFF {}ixed \EFF {}loating point \EFF {}ormat!rm!368!
!print\EFF {}!tt!368!
!Strprint\EFF {}!tt!368!
!graphcolormap!tt!368!
!plotcolor!tt!368!
!graphcolors!tt!368!
!graphcolormap!tt!368!
!help!tt!368!
!hist\EFF {}ile!tt!369!
!histsize!tt!369!
!lines!tt!369!
!linewrap!tt!369!
!log!tt!369!
!TeXstyle!tt!369!
!log\EFF {}ile!tt!369!
!nbthreads!tt!369!
!de\EFF {},new_galois_\EFF {}ormat!tt!370!
!polgalois!tt!370!
!output!tt!370!
!raw \EFF {}ormat!it!370!
!prettymatrix \EFF {}ormat!it!370!
!external prettyprint!it!370!
!prettyprinter!tt!370!
!tex2mail!tt!370!
!parisize!tt!370!
!stack!it!370!
!gprc!tt!370!
!parisizemax!tt!370!
!parisizemax!tt!370!
!stack!it!370!
!parisizemax!tt!370!
!path!tt!370!
!prettyprinter!tt!371!
!tex2mail!tt!371!
!primelimit!tt!371!
!n\EFF {}_PARTIALFACT!tt!371!
!n\EFF {}basis!tt!371!
!n\EFF {}disc!tt!371!
!n\EFF {}init!tt!371!
!prompt!tt!371!
!str\EFF {}time!tt!371!
!de\EFF {},prompt_cont!tt!372!
!ps\EFF {}ile!tt!372!
!readline!tt!372!
!cmdtool!tt!372!
!realprecision!tt!372!
!\EFF {}ormat!tt!372!
!recover!tt!373!
!secure!tt!373!
!system!tt!373!
!extern!tt!373!
!seriesprecision!tt!373!
!simpli\EFF {}y!tt!373!
!automatic simpli\EFF {}ication!rm!373!
!sopath!tt!373!
!install!tt!373!
!install!tt!373!
!strictargs!tt!374!
!strictmatch!tt!374!
!threadsize!tt!374!
!stack!it!374!
!threadsizemax!tt!374!
!stack!it!374!
!timer!tt!374!
!timer!tt!374!
!CPU time!rm!375!
!PariEmacs!tt!377!
The End