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!FreeBSD!rm!13!
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!\EFF {}ixed \EFF {}loating point \EFF {}ormat!rm!17!
!scienti\EFF {}ic \EFF {}ormat!rm!17!
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!histsize!tt!17!
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!prettyprinter!tt!18!
!tex2mail!tt!18!
!parisize!tt!18!
!allocatemem!tt!18!
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!prettyprinter!tt!18!
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!internal longword \EFF {}ormat!rm!22!
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!write!rm!23!
!internal representation!rm!23!
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!t_FRACN!tt!24!
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!I!tt!24!
!p-adic number!rm!24!
!t_PADIC!tt!24!
!quadratic number!rm!24!
!t_QUAD!tt!24!
!quadgen!tt!24!
!polmod!rm!25!
!t_POLMOD!tt!25!
!number \EFF {}ield!rm!25!
!\EFF {}inite \EFF {}ield!rm!25!
!variable!rm!25!
!polynomial!rm!25!
!t_POL!tt!25!
!variable!rm!25!
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!t_SER!tt!25!
!rational \EFF {}unction!rm!25!
!t_RFRAC!tt!25!
!t_RFRACN!tt!25!
!binary quadratic \EFF {}orm!rm!25!
!t_QFR!tt!25!
!t_QFI!tt!25!
!row vector!rm!26!
!column vector!rm!26!
!t_VEC!tt!26!
!t_COL!tt!26!
!Vec!tt!26!
!t_MAT!tt!26!
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!Mat!tt!26!
!t_LIST!tt!26!
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!Euler!tt!29!
!I!tt!29!
!Pi!tt!29!
!O!tt!29!
!editing characters!rm!29!
!backslash character!rm!30!
!brace characters!rm!30!
!programming!rm!30!
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!Euler!tt!31!
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!local!tt!31!
!changevar!tt!31!
!reorder!tt!31!
!gnil!tt!32!
!expression!rm!32!
!expression sequence!rm!32!
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!Riemann zeta-\EFF {}unction!rm!33!
!zeta \EFF {}unction!rm!33!
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!multivariate polynomial!rm!34!
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!hashing \EFF {}unction!rm!35!
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!bn\EFF {}!tt!35!
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!PariPerl!tt!39!
!PariPython!tt!39!
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!Python!rm!39!
!Lisp!rm!39!
!startup!rm!39!
!gprc!rm!39!
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!GPRC!tt!39!
!Emacs!rm!41!
!line editor!rm!42!
!completion!rm!42!
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!scalar product!rm!46!
!gmul!tt!46!
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!Euclidean quotient!rm!46!
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!comparison operators!rm!48!
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!gne!tt!48!
!inclusive or!rm!48!
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!or!rm!48!
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!gor!tt!48!
!gand!tt!48!
!gnot!tt!48!
!gcmp!tt!48!
!gegal!tt!48!
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!Mat!tt!49!
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!Polrev!tt!50!
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!or!tt!51!
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!\EFF {}ibo!tt!70!
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!prime!tt!72!
!primes!tt!72!
!primes!tt!72!
!q\EFF {}bclassno!tt!72!
!Shanks!rm!72!
!Euler product!rm!72!
!Shanks!rm!72!
!q\EFF {}bclassno0!tt!72!
!classno!tt!72!
!q\EFF {}bclassno!tt!72!
!classno2!tt!72!
!q\EFF {}bclassno!tt!72!
!hclassno!tt!72!
!q\EFF {}bcompraw!tt!72!
!composition!rm!72!
!reduction!rm!72!
!compraw!tt!72!
!q\EFF {}bhclassno!tt!72!
!Hurwitz class number!rm!72!
!hclassno!tt!72!
!q\EFF {}bnucomp!tt!72!
!composition!rm!72!
!Shanks!rm!72!
!nucomp!tt!73!
!nudupl!tt!73!
!q\EFF {}bnupow!tt!73!
!nupow!tt!73!
!q\EFF {}bpowraw!tt!73!
!reduction!rm!73!
!powraw!tt!73!
!q\EFF {}bprime\EFF {}orm!tt!73!
!prime\EFF {}orm!tt!73!
!q\EFF {}bred!tt!73!
!reduction!rm!73!
!Shanks!rm!73!
!q\EFF {}bred0!tt!73!
!redimag!tt!73!
!q\EFF {}bred!tt!73!
!redreal!tt!73!
!q\EFF {}bred!tt!73!
!rhoreal!tt!73!
!q\EFF {}bred!tt!73!
!redrealnod!tt!73!
!q\EFF {}bred!tt!73!
!rhorealnod!tt!73!
!q\EFF {}bred!tt!73!
!quadclassunit!tt!73!
!Buchmann-McCurley!rm!73!
!bnrinit!tt!73!
!bn\EFF {}narrow!tt!74!
!GRH!rm!74!
!GRH!rm!74!
!quadclassunit0!tt!74!
!buchimag!tt!74!
!buchreal!tt!74!
!quaddisc!tt!74!
!quaddisc!tt!74!
!quadhilbert!tt!74!
!Hilbert class \EFF {}ield!rm!74!
!Stark units!rm!74!
!quadhilbert!tt!74!
!quadgen!tt!74!
!omega!rm!74!
!quadgen!tt!74!
!quadpoly!tt!74!
!quadpoly0!tt!75!
!quadray!tt!75!
!bnrstark!tt!75!
!quadray!tt!75!
!quadregulator!tt!75!
!regula!tt!75!
!quadunit!tt!75!
!\EFF {}undamental units!rm!75!
!\EFF {}undunit!tt!75!
!removeprimes!tt!75!
!removeprimes!tt!75!
!sigma!tt!75!
!sumdiv!tt!75!
!sigma!tt!75!
!gsumdivk!tt!75!
!sigma!tt!75!
!sqrtint!tt!75!
!racine!tt!75!
!znlog!tt!75!
!znlog!tt!75!
!znorder!tt!75!
!order!tt!76!
!znprimroot!tt!76!
!gener!tt!76!
!znstar!tt!76!
!znstar!tt!76!
!Tate!rm!76!
!Weierstrass equation!rm!76!
!ellinit!tt!76!
!member \EFF {}unctions!rm!76!
!area!tt!76!
!disc!tt!76!
!j!tt!76!
!omega!tt!76!
!eta!tt!76!
!roots!tt!76!
!tate!tt!76!
!w!tt!76!
!elladd!tt!77!
!addell!tt!77!
!ellak!tt!77!
!Taniyama-Weil conjecture!rm!77!
!Breuil!rm!77!
!Conrad!rm!77!
!Diamond!rm!77!
!Taylor!rm!77!
!Wiles!rm!77!
!akell!tt!77!
!ellan!tt!77!
!anell!tt!77!
!ellap!tt!77!
!ellap0!tt!77!
!apell!tt!77!
!apell2!tt!77!
!ellbil!tt!77!
!bilhell!tt!77!
!ellchangecurve!tt!78!
!coordch!tt!78!
!ellchangepoint!tt!78!
!pointch!tt!78!
!elleisnum!tt!78!
!elleisnum!tt!78!
!elleta!tt!78!
!elleta!tt!78!
!ellglobalred!tt!78!
!Tamagawa number!rm!78!
!Birch and Swinnerton-Dyer conjecture!rm!78!
!globalreduction!tt!78!
!ellheight!tt!78!
!N\'eron-Tate height!rm!78!
!ellheight0!tt!78!
!hell!tt!78!
!ghell!tt!78!
!ghell2!tt!78!
!ellheightmatrix!tt!78!
!Mordell-Weil group!rm!78!
!mathell!tt!79!
!ellinit!tt!79!
!ellinit0!tt!80!
!initell!tt!80!
!smallinitell!tt!80!
!ellisoncurve!tt!80!
!oncurve!tt!80!
!ellj!tt!80!
!jell!tt!80!
!elllocalred!tt!80!
!Kodaira!rm!80!
!Tamagawa number!rm!80!
!localreduction!tt!80!
!elllseries!tt!80!
!lseriesell!tt!80!
!ellorder!tt!80!
!orderell!tt!80!
!ellordinate!tt!80!
!ordell!tt!80!
!ellpointtoz!tt!81!
!zell!tt!81!
!ellpow!tt!81!
!powell!tt!81!
!ellrootno!tt!81!
!Mordell-Weil group!rm!81!
!ellrootno!tt!81!
!ellsigma!tt!81!
!ellsigma!tt!81!
!ellsub!tt!81!
!subell!tt!81!
!elltaniyama!tt!81!
!Weil curve!rm!81!
!taniyama!tt!81!
!elltors!tt!81!
!elltors0!tt!82!
!ellwp!tt!82!
!ellwp0!tt!82!
!weipell!tt!82!
!ellzeta!tt!82!
!ellzeta!tt!82!
!ellztopoint!tt!82!
!Weierstrass $\wp$-\EFF {}unction!rm!82!
!pointell!tt!82!
!n\EFF {}!it!82!
!n\EFF {}init!tt!82!
!bn\EFF {}!it!82!
!bn\EFF {}init!tt!82!
!bnr!it!83!
!rn\EFF {}!it!83!
!ideal!it!83!
!Hermite normal \EFF {}orm!rm!83!
!idele!it!83!
!ideal list!it!84!
!pseudo-matrix!it!84!
!module!it!84!
!pseudo-basis!it!84!
!Hermite normal \EFF {}orm!rm!84!
!member \EFF {}unctions!rm!85!
!bn\EFF {}!tt!85!
!clgp!tt!85!
!cyc!tt!85!
!Smith normal \EFF {}orm!rm!85!
!gen (member \EFF {}unction)!rm!85!
!no!tt!85!
!di\EFF {}\EFF {}!tt!85!
!codi\EFF {}\EFF {}!tt!85!
!disc!tt!85!
!\EFF {}u!tt!85!
!\EFF {}undamental units!rm!85!
!\EFF {}utu!tt!85!
!n\EFF {}!tt!85!
!reg!tt!85!
!roots!tt!85!
!sign!tt!85!
!t2!tt!85!
!tu!tt!85!
!tu\EFF {}u!tt!85!
!zk!tt!85!
!zkst!tt!85!
!GRH!rm!85!
!Buchmann!rm!85!
!GRH!rm!86!
!bn\EFF {}certi\EFF {}y!tt!86!
!GRH!rm!86!
!certi\EFF {}ybuchall!tt!86!
!bn\EFF {}classunit!tt!86!
!Buchmann!rm!86!
!\EFF {}undamental units!rm!86!
!GRH!rm!87!
!bn\EFF {}classunit0!tt!87!
!bn\EFF {}clgp!tt!88!
!bn\EFF {}classgrouponly!tt!88!
!bn\EFF {}decodemodule!tt!88!
!decodemodule!tt!88!
!bn\EFF {}init!tt!88!
!bn\EFF {}isprincipal!tt!88!
!Smith normal \EFF {}orm!rm!88!
!bnrisprincipal!tt!88!
!bn\EFF {}init0!tt!89!
!bn\EFF {}isintnorm!tt!89!
!GRH!rm!89!
!bn\EFF {}isintnorm!tt!89!
!bn\EFF {}isnorm!tt!89!
!Galois!rm!89!
!GRH!rm!89!
!bn\EFF {}isnorm!tt!89!
!bn\EFF {}issunit!tt!90!
!bn\EFF {}issunit!tt!90!
!bn\EFF {}isprincipal!tt!90!
!isprincipalall!tt!90!
!bn\EFF {}isunit!tt!90!
!isunit!tt!90!
!bn\EFF {}make!tt!90!
!makebigbn\EFF {}!tt!91!
!bn\EFF {}narrow!tt!91!
!Smith normal \EFF {}orm!rm!91!
!buchnarrow!tt!91!
!bn\EFF {}signunit!tt!91!
!signunits!tt!91!
!bn\EFF {}reg!tt!91!
!regulator!tt!91!
!bn\EFF {}sunit!tt!91!
!bn\EFF {}sunit!tt!91!
!bn\EFF {}unit!tt!91!
!buch\EFF {}u!tt!91!
!bnrL1!tt!91!
!character!rm!91!
!bnrL1!tt!92!
!bnrclass!tt!92!
!bnrclass0!tt!93!
!bnrclassno!tt!93!
!rayclassno!tt!93!
!bnrclassnolist!tt!93!
!rayclassnolist!tt!93!
!bnrconductor!tt!93!
!bnrconductor!tt!93!
!bnrconductoro\EFF {}char!tt!93!
!character!rm!93!
!bnrconductoro\EFF {}char!tt!93!
!bnrdisc!tt!93!
!bnrdisc0!tt!93!
!bnrdisclist!tt!94!
!bnrdisclist0!tt!94!
!bnrinit!tt!94!
!bnrinit0!tt!94!
!bnrisconductor!tt!94!
!bnrisconductor!tt!94!
!bnrisprincipal!tt!94!
!isprincipalrayall!tt!95!
!bnrrootnumber!tt!95!
!character!rm!95!
!Artin L-\EFF {}unction!rm!95!
!Artin root number!rm!95!
!bnrrootnumber!tt!95!
!bnrstark!tt!95!
!Stark units!rm!95!
!polsubcyclo!tt!95!
!galoissubcyclo!tt!95!
!bnrstark!tt!96!
!dirzetak!tt!96!
!Dedekind!rm!96!
!Dirichlet series!rm!96!
!dirzetak!tt!96!
!\EFF {}actorn\EFF {}!tt!96!
!pol\EFF {}n\EFF {}!tt!96!
!galois\EFF {}ixed\EFF {}ield!tt!96!
!galoisinit!tt!96!
!n\EFF {}sub\EFF {}ield!tt!96!
!galois\EFF {}ixed\EFF {}ield!tt!96!
!galoisinit!tt!96!
!n\EFF {}init!tt!96!
!n\EFF {}galoisconj!tt!96!
!galoisinit!tt!97!
!galoispermtopol!tt!97!
!galoispermtopol!tt!98!
!galoissubcyclo!tt!98!
!galoissubcyclo!tt!98!
!idealadd!tt!98!
!idealadd!tt!98!
!idealaddtoone!tt!98!
!idealaddtoone0!tt!98!
!idealappr!tt!98!
!idealappr0!tt!99!
!idealchinese!tt!99!
!idealchinese!tt!99!
!idealcoprime!tt!99!
!idealcoprime!tt!99!
!idealdiv!tt!99!
!idealdiv0!tt!99!
!idealdiv!tt!99!
!idealdivexact!tt!99!
!ideal\EFF {}actor!tt!99!
!ideal\EFF {}actor!tt!99!
!idealhn\EFF {}!tt!99!
!Hermite normal \EFF {}orm!rm!99!
!idealhn\EFF {}0!tt!99!
!idealhermite!tt!99!
!idealintersect!tt!99!
!idealintersect!tt!99!
!idealinv!tt!99!
!idealinv!tt!100!
!ideallist!tt!100!
!ideallist0!tt!100!
!ideallist!tt!100!
!ideallistarch!tt!100!
!ideallistarch0!tt!100!
!ideallog!tt!100!
!zideallog!tt!100!
!idealmin!tt!100!
!minideal!tt!100!
!idealmul!tt!100!
!idealmul!tt!100!
!idealmulred!tt!100!
!idealnorm!tt!100!
!idealnorm!tt!100!
!idealpow!tt!101!
!idealpow!tt!101!
!idealpows!tt!101!
!idealpowred!tt!101!
!idealprimedec!tt!101!
!idealprimedec!tt!101!
!idealprincipal!tt!101!
!principalideal!tt!101!
!idealred!tt!101!
!LLL!rm!101!
!Hermite normal \EFF {}orm!rm!101!
!Buchmann!rm!101!
!principal ideal!rm!101!
!ideallllred!tt!102!
!idealstar!tt!102!
!Smith normal \EFF {}orm!rm!102!
!idealstar0!tt!102!
!idealtwoelt!tt!102!
!ideal_two_elt0!tt!102!
!idealval!tt!102!
!idealval!tt!102!
!ideleprincipal!tt!102!
!principalidele!tt!103!
!matalgtobasis!tt!103!
!matalgtobasis!tt!103!
!matbasistoalg!tt!103!
!matbasistoalg!tt!103!
!modreverse!tt!103!
!polmodrecip!tt!103!
!newtonpoly!tt!103!
!newtonpoly!tt!103!
!n\EFF {}algtobasis!tt!103!
!algtobasis!tt!103!
!n\EFF {}basis!tt!103!
!integral basis!rm!103!
!round 4!rm!103!
!round 2!rm!103!
!Ford!rm!103!
!n\EFF {}basis0!tt!104!
!n\EFF {}basis!tt!104!
!base!tt!104!
!base2!tt!104!
!\EFF {}actoredbase!tt!104!
!n\EFF {}basistoalg!tt!104!
!basistoalg!tt!104!
!n\EFF {}detint!tt!104!
!n\EFF {}detint!tt!104!
!n\EFF {}disc!tt!104!
!\EFF {}ield discriminant!rm!104!
!round 4!rm!104!
!n\EFF {}disc\EFF {}0!tt!104!
!disc\EFF {}!tt!104!
!n\EFF {}eltdiv!tt!104!
!element_div!tt!104!
!n\EFF {}eltdiveuc!tt!104!
!n\EFF {}diveuc!tt!104!
!n\EFF {}eltdivmodpr!tt!104!
!n\EFF {}modprinit!tt!104!
!element_divmodpr!tt!105!
!n\EFF {}eltdivrem!tt!105!
!n\EFF {}divres!tt!105!
!n\EFF {}eltmod!tt!105!
!n\EFF {}mod!tt!105!
!n\EFF {}eltmul!tt!105!
!element_mul!tt!105!
!n\EFF {}eltmulmodpr!tt!105!
!n\EFF {}modprinit!tt!105!
!element_mulmodpr!tt!105!
!n\EFF {}eltpow!tt!105!
!element_pow!tt!105!
!n\EFF {}eltpowmodpr!tt!105!
!n\EFF {}modprinit!tt!105!
!element_powmodpr!tt!105!
!n\EFF {}eltreduce!tt!105!
!element_reduce!tt!105!
!n\EFF {}eltreducemodpr!tt!105!
!n\EFF {}reducemodpr2!tt!105!
!n\EFF {}eltval!tt!105!
!element_val!tt!105!
!n\EFF {}\EFF {}actor!tt!106!
!n\EFF {}\EFF {}actor!tt!106!
!n\EFF {}\EFF {}actormod!tt!106!
!n\EFF {}\EFF {}actormod!tt!106!
!n\EFF {}galoisapply!tt!106!
!Galois!rm!106!
!galoisapply!tt!106!
!n\EFF {}galoisconj!tt!106!
!Galois!rm!106!
!LLL!rm!107!
!galoisconj0!tt!107!
!galoisconj!tt!107!
!galoisconj2!tt!107!
!galoisconj4!tt!107!
!n\EFF {}hilbert!tt!107!
!Hilbert symbol!rm!107!
!n\EFF {}hilbert!tt!107!
!n\EFF {}hn\EFF {}!tt!107!
!Hermite normal \EFF {}orm!rm!107!
!n\EFF {}hermite!tt!107!
!n\EFF {}hn\EFF {}mod!tt!107!
!Hermite normal \EFF {}orm!rm!107!
!n\EFF {}hermitemod!tt!107!
!n\EFF {}init!tt!107!
!idealinv!tt!108!
!n\EFF {}newprec!tt!108!
!n\EFF {}basis!tt!108!
!n\EFF {}init0!tt!109!
!n\EFF {}isideal!tt!109!
!isideal!tt!109!
!n\EFF {}isincl!tt!109!
!n\EFF {}\EFF {}actor!tt!109!
!n\EFF {}isincl!tt!109!
!n\EFF {}isisom!tt!109!
!n\EFF {}isincl!tt!109!
!n\EFF {}isisom!tt!109!
!n\EFF {}newprec!tt!109!
!n\EFF {}newprec!tt!109!
!n\EFF {}kermodpr!tt!109!
!n\EFF {}kermodpr!tt!109!
!n\EFF {}modprinit!tt!109!
!modpr!tt!109!
!Hermite normal \EFF {}orm!rm!109!
!n\EFF {}modprinit!tt!109!
!n\EFF {}sub\EFF {}ields!tt!109!
!sub\EFF {}ields!tt!109!
!n\EFF {}roots!tt!110!
!n\EFF {}roots!tt!110!
!n\EFF {}rootso\EFF {}1!tt!110!
!rootso\EFF {}1!tt!110!
!n\EFF {}sn\EFF {}!tt!110!
!Smith normal \EFF {}orm!rm!110!
!n\EFF {}smith!tt!110!
!n\EFF {}solvemodpr!tt!110!
!n\EFF {}solvemodpr!tt!110!
!polcompositum!tt!110!
!rn\EFF {}equation!tt!110!
!polcompositum0!tt!111!
!polgalois!tt!111!
!Galois!rm!111!
!galois!tt!111!
!polred!tt!111!
!n\EFF {}init!tt!111!
!polred0!tt!112!
!polred!tt!112!
!\EFF {}actoredpolred!tt!112!
!polredabs!tt!112!
!n\EFF {}init!tt!112!
!polredabs0!tt!112!
!polredord!tt!112!
!ordred!tt!112!
!poltschirnhaus!tt!112!
!tschirnhaus!tt!112!
!rn\EFF {}algtobasis!tt!112!
!rn\EFF {}algtobasis!tt!112!
!rn\EFF {}basis!tt!112!
!rn\EFF {}basis!tt!112!
!rn\EFF {}basistoalg!tt!113!
!rn\EFF {}basistoalg!tt!113!
!rn\EFF {}charpoly!tt!113!
!rn\EFF {}charpoly!tt!113!
!rn\EFF {}conductor!tt!113!
!Abelian extension!rm!113!
!rn\EFF {}conductor!tt!113!
!rn\EFF {}dedekind!tt!113!
!Dedekind!rm!113!
!rn\EFF {}dedekind!tt!113!
!rn\EFF {}det!tt!113!
!rn\EFF {}det!tt!113!
!rn\EFF {}disc!tt!113!
!rn\EFF {}disc\EFF {}!tt!113!
!rn\EFF {}eltabstorel!tt!113!
!rn\EFF {}elementabstorel!tt!114!
!rn\EFF {}eltdown!tt!114!
!rn\EFF {}elementdown!tt!114!
!rn\EFF {}eltreltoabs!tt!114!
!rn\EFF {}elementreltoabs!tt!114!
!rn\EFF {}eltup!tt!114!
!rn\EFF {}elementup!tt!114!
!rn\EFF {}equation!tt!114!
!rn\EFF {}equation0!tt!114!
!rn\EFF {}hn\EFF {}basis!tt!114!
!rn\EFF {}hermitebasis!tt!114!
!rn\EFF {}idealabstorel!tt!114!
!Hermite normal \EFF {}orm!rm!114!
!rn\EFF {}idealabstorel!tt!115!
!rn\EFF {}idealdown!tt!115!
!rn\EFF {}idealdown!tt!115!
!rn\EFF {}idealhn\EFF {}!tt!115!
!rn\EFF {}idealhermite!tt!115!
!rn\EFF {}idealmul!tt!115!
!rn\EFF {}idealmul!tt!115!
!rn\EFF {}idealnormabs!tt!115!
!rn\EFF {}idealnormabs!tt!115!
!rn\EFF {}idealnormrel!tt!115!
!rn\EFF {}idealnormrel!tt!115!
!rn\EFF {}idealreltoabs!tt!115!
!rn\EFF {}idealreltoabs!tt!115!
!rn\EFF {}idealtwoelt!tt!115!
!rn\EFF {}idealtwoelement!tt!115!
!rn\EFF {}idealup!tt!115!
!rn\EFF {}idealup!tt!116!
!rn\EFF {}init!tt!116!
!rn\EFF {}initalg!tt!117!
!rn\EFF {}is\EFF {}ree!tt!117!
!rn\EFF {}is\EFF {}ree!tt!117!
!rn\EFF {}isnorm!tt!117!
!Galois!rm!117!
!GRH!rm!117!
!rn\EFF {}isnorm!tt!117!
!rn\EFF {}kummer!tt!117!
!rn\EFF {}kummer!tt!118!
!rn\EFF {}lllgram!tt!118!
!rn\EFF {}lllgram!tt!118!
!rn\EFF {}normgroup!tt!118!
!Abelian extension!rm!118!
!rn\EFF {}normgroup!tt!118!
!rn\EFF {}polred!tt!118!
!rn\EFF {}polred!tt!118!
!rn\EFF {}polredabs!tt!118!
!rn\EFF {}polredabs!tt!118!
!rn\EFF {}pseudobasis!tt!118!
!rn\EFF {}pseudobasis!tt!118!
!rn\EFF {}steinitz!tt!118!
!Steinitz class!it!118!
!rn\EFF {}steinitz!tt!119!
!subgrouplist!tt!119!
!Hermite normal \EFF {}orm!rm!119!
!Smith normal \EFF {}orm!rm!119!
!subgrouplist0!tt!119!
!zetak!tt!119!
!Dedekind!rm!119!
!glambdak!tt!119!
!gzetak!tt!119!
!zetakinit!tt!119!
!Dedekind!rm!119!
!initzeta!tt!119!
!O!tt!119!
!ggrandocp!tt!119!
!deriv!tt!119!
!deriv!tt!120!
!eval!tt!120!
!geval!tt!120!
!poleval!tt!120!
!q\EFF {}eval!tt!120!
!hq\EFF {}eval!tt!120!
!\EFF {}actorpadic!tt!120!
!round 4!rm!120!
!Zassenhaus!rm!120!
!Buchmann!rm!120!
!Lenstra!rm!120!
!\EFF {}actorpadic4!tt!120!
!int\EFF {}ormal!tt!120!
!\EFF {}ormal integration!rm!120!
!integ!tt!120!
!padicappr!tt!120!
!apprgen9!tt!120!
!apprgen!tt!120!
!polcoe\EFF {}\EFF {}!tt!120!
!polcoe\EFF {}\EFF {}0!tt!120!
!truecoe\EFF {}\EFF {}!tt!121!
!poldegree!tt!121!
!poldegree!tt!121!
!degree!tt!121!
!polcyclo!tt!121!
!cyclo!tt!121!
!poldisc!tt!121!
!subresultant algorithm!rm!121!
!poldisc0!tt!121!
!discsr!tt!121!
!poldiscreduced!tt!121!
!reduceddiscsmith!tt!121!
!polhenselli\EFF {}t!tt!121!
!polhenselli\EFF {}t!tt!121!
!polinterpolate!tt!121!
!interpolating polynomial!rm!121!
!polint!tt!121!
!polisirreducible!tt!121!
!gisirreducible!tt!121!
!pollead!tt!121!
!pollead!tt!121!
!leadingcoe\EFF {}\EFF {}!tt!121!
!pollegendre!tt!122!
!Legendre polynomial!rm!122!
!legendre!tt!122!
!polrecip!tt!122!
!polrecip!tt!122!
!polresultant!tt!122!
!subresultant algorithm!rm!122!
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!Sch\"onhage!rm!122!
!roots!tt!122!
!rootsold!tt!122!
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!Chebyshev!rm!123!
!tchebi!tt!123!
!polzagier!tt!123!
!polzagreel!tt!123!
!polzag!tt!123!
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!Hadamard product!rm!123!
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!tayl!tt!124!
!thue!tt!124!
!GRH!rm!124!
!thue!tt!124!
!thueinit!tt!124!
!thue!tt!124!
!GRH!rm!124!
!thueinit!tt!124!
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!q\EFF {}lll!tt!124!
!algdep!tt!124!
!algebraic dependence!rm!124!
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!algdep0!tt!125!
!algdep!tt!125!
!charpoly!tt!125!
!characteristic polynomial!rm!125!
!minimal polynomial!rm!125!
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!carhess!tt!125!
!caradj!tt!125!
!concat!tt!125!
!Mat!tt!125!
!concat!tt!126!
!lindep!tt!126!
!linear dependence!rm!126!
!LLL!rm!126!
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!Hilbert matrix!rm!128!
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!Hermite normal \EFF {}orm!rm!128!
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!q\EFF {}lllgram!tt!133!
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!vecteur!tt!136!
!vectorv!tt!136!
!vector!tt!136!
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!in\EFF {}inity!rm!137!
!intnum!tt!137!
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!prod!tt!137!
!produit!tt!137!
!prodeuler!tt!137!
!Euler product!rm!137!
!prodeuler!tt!138!
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!in\EFF {}inite product!rm!138!
!prodin\EFF {}!tt!138!
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!somme!tt!138!
!sumalt!tt!138!
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!Euler!rm!138!
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!sumin\EFF {}!tt!139!
!in\EFF {}inite sum!rm!139!
!sumin\EFF {}!tt!139!
!sumpos!tt!139!
!sumpos!tt!139!
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!ps\EFF {}ile!tt!140!
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!parametric plot!it!141!
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!Smith normal \EFF {}orm!rm!146!
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!un!rm!155!
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!gaddgs!tt!155!
!gaddsg!tt!155!
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!cgetg!tt!158!
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!assignment!rm!158!
!ga\EFF {}\EFF {}ect!tt!158!
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!avma!tt!159!
!ga\EFF {}\EFF {}ect!tt!159!
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!ga\EFF {}\EFF {}ect!tt!159!
!copy!rm!159!
!gcopy!tt!159!
!lcopy!tt!159!
!gcopy!tt!159!
!\EFF {}orcecopy!tt!159!
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!gclone!tt!159!
!lclone!tt!159!
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!\EFF {}orcecopy!tt!160!
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!dbltor!tt!160!
!itos!tt!160!
!rtodbl!tt!160!
!gtolong!tt!160!
!gtodouble!tt!160!
!garbage collecting!rm!160!
!avma!tt!160!
!destruction!rm!161!
!cgiv!tt!161!
!gerepile!tt!161!
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!gerepilemany!tt!163!
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!t_REAL!tt!168!
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!t_FRAC!tt!169!
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!t_QUAD!tt!169!
!t_POLMOD!tt!169!
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!t_POL!tt!169!
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!e\EFF {}\EFF {}ective length!rm!170!
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!de\EFF {}inite binary quadratic \EFF {}orm!rm!171!
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!t_COL!tt!171!
!row vector!rm!171!
!column vector!rm!171!
!t_MAT!tt!171!
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!lge\EFF {}!tt!171!
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!t_STR!tt!171!
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!gcopy!tt!193!
!\EFF {}orcecopy!tt!193!
!taille!tt!194!
!gclone!tt!194!
!gre\EFF {}\EFF {}e!tt!194!
!rtodbl!tt!194!
!dbltor!tt!194!
!gtodouble!tt!194!
!gtolong!tt!194!
!gtopoly!tt!194!
!gtopolyrev!tt!194!
!gtoser!tt!194!
!gtovec!tt!194!
!co8!tt!194!
!gcvtop!tt!194!
!gmodulcp!tt!194!
!gmodulgs!tt!194!
!gmodulss!tt!194!
!gmodulo!tt!194!
!gexpo!tt!194!
!gsigne!tt!194!
!gvar!tt!194!
!precision!tt!195!
!sizedigit!tt!195!
!gcmp0!tt!195!
!isexactzero!tt!195!
!gcmp1!tt!195!
!gcmp\_1!tt!195!
!gcmp!tt!195!
!gcmpsg!tt!195!
!gcmpgs!tt!195!
!lexcmp!tt!195!
!gegal!tt!195!
!gegalsg!tt!195!
!gegalgs!tt!195!
!iscomplex!tt!195!
!ismonome!tt!195!
!ggval!tt!195!
!gval!tt!195!
!pvaluation!tt!195!
!ga\EFF {}\EFF {}sg!tt!195!
!ga\EFF {}\EFF {}ect!tt!195!
!gsqr!tt!196!
!ginv!tt!196!
!g\EFF {}loor!tt!196!
!g\EFF {}rac!tt!196!
!gceil!tt!196!
!ground!tt!196!
!grndtoi!tt!196!
!gtrunc!tt!196!
!gcvtoi!tt!196!
!gred[z]!tt!196!
!content!tt!196!
!normalize!tt!196!
!normalizepol!tt!196!
!gmax[z]!tt!196!
!gmaxsg[z]!tt!196!
!gmaxgs[z]!tt!196!
!gmin[z]!tt!196!
!gminsg[z]!tt!196!
!gmings[z]!tt!196!
!gadd[z]!tt!196!
!gaddsg[z]!tt!196!
!gaddgs[z]!tt!197!
!gsub[z]!tt!197!
!gsubgs[z]!tt!197!
!gsubsg[z]!tt!197!
!gmul[z]!tt!197!
!gmulsg[z]!tt!197!
!gmulgs[z]!tt!197!
!gshi\EFF {}t[z]!tt!197!
!gmul2n[z]!tt!197!
!gdiv[z]!tt!197!
!gdivgs[z]!tt!197!
!gdivsg[z]!tt!197!
!gdivent[z]!tt!197!
!gdiventsg[z]!tt!197!
!gdiventgs[z]!tt!197!
!gdiventres!tt!197!
!gdivmod!tt!197!
!poldivres!tt!197!
!gdeuc!tt!198!
!gdivround!tt!198!
!gmod[z]!tt!198!
!gmodsg[z]!tt!198!
!gmodgs[z]!tt!198!
!gres!tt!198!
!ginvmod!tt!198!
!gpow!tt!198!
!ggcd!tt!198!
!glcm!tt!198!
!subres!tt!198!
!gpowgs!tt!198!
!gsubst!tt!198!
!gdivise!tt!198!
!gbezout!tt!198!
!heap!rm!207!
!stack!rm!207!
!universal object!rm!207!
!bern!tt!207!
!mpbern!tt!207!
!geuler!tt!207!
!mpeuler!tt!207!
!gpi!tt!207!
!mppi!tt!207!
!geuler!tt!207!
!gpi!tt!207!
!mpeuler!tt!207!
!mppi!tt!207!
!di\EFF {}\EFF {}ptr!tt!207!
!pari_init!tt!207!
!maxprime!tt!207!
!maxprime!tt!207!
The End