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!vector!rm!8!
!matrix!rm!8!
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!gprc!tt!13!
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!number \EFF {}ield!rm!20!
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!Pol!tt!21!
!Polrev!tt!21!
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!t_RFRAC!tt!22!
!binary quadratic \EFF {}orm!rm!22!
!t_QFR!tt!22!
!t_QFI!tt!22!
!row vector!rm!22!
!column vector!rm!22!
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!t_COL!tt!22!
!Vec!tt!22!
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!i\EFF {}err!tt!26!
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!variable scope!rm!34!
!eval!tt!34!
!lexical scoping!rm!34!
!dynamic scoping!rm!34!
!Perl!tt!34!
!my!tt!34!
!local!tt!34!
!eval!tt!36!
!user de\EFF {}ined \EFF {}unctions!rm!36!
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!Riemann zeta-\EFF {}unction!rm!40!
!zeta \EFF {}unction!rm!40!
!recursion!rm!41!
!multivariate polynomial!rm!41!
!recursion depth!rm!42!
!deep recursion!rm!42!
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!limit!tt!42!
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!matrix!rm!46!
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!i\EFF {}err!tt!49!
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!dvi!rm!61!
!Emacs!rm!61!
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!Polrev!tt!73!
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!Set!tt!75!
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!I!tt!89!
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!Pi!tt!89!
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!eint1!tt!92!
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!er\EFF {}c!tt!92!
!ger\EFF {}c!tt!92!
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!Riemann zeta-\EFF {}unction!rm!98!
!Euler-Maclaurin!rm!98!
!Bernoulli numbers!rm!98!
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!Euler totient \EFF {}unction!rm!99!
!Moebius!rm!99!
!Shanks SQUFOF!rm!99!
!Pollard Rho!rm!99!
!ECM!rm!99!
!MPQS!rm!99!
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!addprimes!tt!100!
!\EFF {}actor_proven!tt!100!
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!chinese!tt!102!
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!Engel expansion!rm!104!
!Egyptian \EFF {}raction!rm!104!
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!Dirichlet series!rm!105!
!Euler product!rm!105!
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!Dirichlet series!rm!105!
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!\EFF {}actor_proven!tt!106!
!\EFF {}actormod!tt!107!
!\EFF {}actor\EFF {}\EFF {}!tt!107!
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!\EFF {}actorback!tt!109!
!\EFF {}actorcantor!tt!109!
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!Zassenhaus!rm!109!
!\EFF {}actcantor!tt!109!
!\EFF {}actor\EFF {}\EFF {}!tt!109!
!\EFF {}actor\EFF {}\EFF {}!tt!110!
!\EFF {}actorial!tt!110!
!mp\EFF {}actr!tt!110!
!mp\EFF {}act!tt!110!
!\EFF {}actorint!tt!110!
!Shanks SQUFOF!rm!110!
!Pollard Rho!rm!110!
!Lenstra!rm!110!
!ECM!rm!110!
!MPQS!rm!110!
!LiDIA!rm!110!
!ispseudoprime!tt!110!
!\EFF {}actor_proven!tt!110!
!addprimes!tt!110!
!debug!tt!110!
!\EFF {}actorint!tt!110!
!\EFF {}actormod!tt!110!
!Berlekamp!rm!110!
!\EFF {}actormod0!tt!110!
!\EFF {}\EFF {}gen!tt!110!
!\EFF {}\EFF {}init!tt!110!
!\EFF {}\EFF {}gen!tt!111!
!p_to_GEN!tt!111!
!\EFF {}\EFF {}init!tt!111!
!\EFF {}\EFF {}gen!tt!111!
!\EFF {}\EFF {}init!tt!111!
!\EFF {}\EFF {}log!tt!111!
!\EFF {}\EFF {}primroot!tt!111!
!znlog!tt!111!
!\EFF {}\EFF {}log!tt!112!
!\EFF {}\EFF {}nbirred!tt!112!
!\EFF {}\EFF {}nbirred0!tt!112!
!\EFF {}\EFF {}nbirred!tt!112!
!\EFF {}\EFF {}sumnbirred!tt!112!
!\EFF {}\EFF {}order!tt!112!
!\EFF {}\EFF {}order!tt!112!
!\EFF {}\EFF {}primroot!tt!112!
!\EFF {}\EFF {}log!tt!112!
!\EFF {}\EFF {}order!tt!112!
!\EFF {}\EFF {}primroot!tt!113!
!\EFF {}ibonacci!tt!113!
!\EFF {}ibo!tt!113!
!gcd!tt!113!
!bezout!tt!113!
!Euclid!rm!113!
!subresultant algorithm!rm!113!
!polresultant!tt!113!
!gcdext!tt!113!
!ggcd0!tt!113!
!ggcd!tt!113!
!content!tt!113!
!gcdext!tt!114!
!extended gcd!rm!114!
!Bezout relation!rm!114!
!gcdext0!tt!114!
!hilbert!tt!114!
!Hilbert symbol!rm!114!
!hilbert!tt!114!
!is\EFF {}undamental!tt!114!
!is\EFF {}undamental!tt!114!
!ispolygonal!tt!114!
!ispolygonal!tt!114!
!ispower!tt!114!
!ispower!tt!115!
!gisanypower!tt!115!
!ispower\EFF {}ul!tt!115!
!ispower\EFF {}ul!tt!115!
!isprime!tt!115!
!ispseudoprime!tt!115!
!ispseudoprime!tt!115!
!gisprime!tt!116!
!isprimepower!tt!116!
!isprimepower!tt!116!
!ispseudoprime!tt!116!
!isprime!tt!116!
!gispseudoprime!tt!116!
!issquare!tt!116!
!issquareall!tt!117!
!issquare!tt!117!
!gissquare!tt!117!
!gissquareall!tt!117!
!issquare\EFF {}ree!tt!117!
!issquare\EFF {}ree!tt!117!
!istotient!tt!117!
!istotient!tt!117!
!kronecker!tt!117!
!Kronecker symbol!rm!117!
!Legendre symbol!rm!117!
!kronecker!tt!117!
!lcm!tt!117!
!glcm0!tt!118!
!logint!tt!118!
!logint0!tt!118!
!moebius!tt!118!
!Moebius!rm!118!
!moebius!tt!118!
!nextprime!tt!118!
!ispseudoprime!tt!118!
!nextprime!tt!119!
!numbpart!tt!119!
!partitions!tt!119!
!numbpart!tt!119!
!numdiv!tt!119!
!numdiv!tt!119!
!omega!tt!119!
!omega!tt!119!
!partitions!tt!119!
!numbpart!tt!119!
!partitions!tt!120!
!polroots\EFF {}\EFF {}!tt!120!
!polroots\EFF {}\EFF {}!tt!120!
!precprime!tt!120!
!ispseudoprime!tt!120!
!precprime!tt!120!
!prime!tt!120!
!prime!tt!120!
!primepi!tt!120!
!primepi!tt!121!
!primes!tt!121!
!primes0!tt!121!
!q\EFF {}bclassno!tt!121!
!Shanks!rm!121!
!Euler product!rm!121!
!Shanks!rm!121!
!q\EFF {}bclassno0!tt!122!
!classno!tt!122!
!classno2!tt!122!
!hclassno!tt!122!
!q\EFF {}bcompraw!tt!122!
!composition!rm!122!
!reduction!rm!122!
!q\EFF {}bcompraw!tt!122!
!q\EFF {}bhclassno!tt!122!
!Hurwitz class number!rm!122!
!hclassno!tt!122!
!q\EFF {}bnucomp!tt!122!
!composition!rm!122!
!Shanks!rm!122!
!nucomp!tt!122!
!nudupl!tt!122!
!q\EFF {}bnupow!tt!123!
!Shanks!rm!123!
!nupow!tt!123!
!q\EFF {}bpowraw!tt!123!
!reduction!rm!123!
!q\EFF {}bpowraw!tt!123!
!q\EFF {}bprime\EFF {}orm!tt!123!
!prime\EFF {}orm!tt!123!
!q\EFF {}bred!tt!123!
!reduction!rm!123!
!Shanks!rm!123!
!q\EFF {}bred0!tt!123!
!redimag!tt!123!
!redreal!tt!123!
!rhoreal!tt!123!
!redrealnod!tt!123!
!rhorealnod!tt!123!
!q\EFF {}bsolve!tt!123!
!bn\EFF {}isprincipal!tt!123!
!q\EFF {}bsolve!tt!124!
!quadclassunit!tt!124!
!Buchmann-McCurley!rm!124!
!q\EFF {}bclassno!tt!124!
!quadregula!tt!124!
!bn\EFF {}init!tt!124!
!bn\EFF {}narrow!tt!124!
!quadclassunit0!tt!124!
!Buchquad!tt!124!
!quaddisc!tt!124!
!quaddisc!tt!124!
!quadgen!tt!124!
!omega!rm!124!
!quadgen!tt!125!
!quadhilbert!tt!125!
!Hilbert class \EFF {}ield!rm!125!
!Schertz!rm!125!
!Stark units!rm!125!
!quadhilbert!tt!125!
!quadpoly!tt!125!
!quadpoly0!tt!125!
!quadray!tt!125!
!bnrstark!tt!125!
!quadray!tt!125!
!quadregulator!tt!125!
!quadregulator!tt!125!
!quadunit!tt!125!
!\EFF {}undamental units!rm!125!
!quadunit!tt!125!
!randomprime!tt!125!
!ispseudoprime!tt!125!
!randomprime!tt!125!
!removeprimes!tt!125!
!removeprimes!tt!125!
!sigma!tt!125!
!sumdivk!tt!126!
!sumdiv!tt!126!
!sqrtint!tt!126!
!sqrtint!tt!126!
!sqrtnint!tt!126!
!sqrtint!tt!126!
!sqrtnint!tt!126!
!stirling!tt!126!
!Stirling number!rm!126!
!stirling!tt!126!
!stirling1!tt!126!
!stirling2!tt!126!
!sumdedekind!tt!127!
!Dedekind sum!rm!127!
!sumdedekind!tt!127!
!sumdigits!tt!127!
!hammingweight!tt!127!
!sumdigits!tt!127!
!zncoppersmith!tt!127!
!Coppersmith!rm!127!
!LLL!rm!127!
!polrootsmod!tt!127!
!polrootspadic!tt!127!
!zncoppersmith!tt!128!
!znlog!tt!128!
!znlog!tt!129!
!znorder!tt!129!
!znorder!tt!129!
!order!tt!129!
!znprimroot!tt!129!
!znprimroot!tt!129!
!znstar!tt!129!
!znstar!tt!129!
!Weierstrass equation!rm!130!
!ellinit!tt!130!
!ell!it!130!
!ell!it!130!
!member \EFF {}unctions!rm!130!
!a1!tt!130!
!a2!tt!130!
!a3!tt!130!
!a4!tt!130!
!a6!tt!130!
!b2!tt!130!
!b4!tt!130!
!b6!tt!130!
!b8!tt!130!
!c4!tt!130!
!c6!tt!130!
!disc!tt!130!
!j!tt!130!
!ellperiods!tt!130!
!area!tt!130!
!roots!tt!130!
!omega!tt!131!
!eta!tt!131!
!ellzeta!tt!131!
!p!tt!131!
!roots!tt!131!
!tate!tt!131!
!p!tt!131!
!no!tt!131!
!cyc!tt!132!
!gen!tt!132!
!group!tt!132!
!ellgenerators!tt!132!
!ellidenti\EFF {}y!tt!132!
!ellsearch!tt!132!
!\EFF {}orell!tt!132!
!elldata!tt!132!
!ellinit!tt!132!
!gen!tt!132!
!ellL1!tt!132!
!ellanalyticrank!tt!132!
!ellL1!tt!133!
!elladd!tt!133!
!elladd!tt!133!
!ellak!tt!133!
!Taniyama-Shimura-Weil conjecture!rm!133!
!akell!tt!133!
!ellan!tt!133!
!anell!tt!133!
!anellsmall!tt!133!
!ellanalyticrank!tt!133!
!ellanalyticrank!tt!134!
!ellap!tt!134!
!seadata!tt!134!
!SEA!tt!134!
!ellap!tt!135!
!ellbil!tt!135!
!bilhell!tt!135!
!ellcard!tt!135!
!ellgroup!tt!135!
!ellcard!tt!135!
!ellcard!tt!135!
!ellchangecurve!tt!135!
!ellchangecurve!tt!135!
!ellchangepoint!tt!135!
!ellchangepoint!tt!135!
!ellchangepointinv!tt!135!
!ellchangepointinv!tt!135!
!ellchangepointinv!tt!136!
!ellconvertname!tt!136!
!elldata!tt!136!
!ellconvertname!tt!136!
!elldivpol!tt!136!
!elldivpol!tt!136!
!elleisnum!tt!136!
!ellperiods!tt!136!
!elleisnum!tt!137!
!elleta!tt!137!
!elleta!tt!137!
!ell\EFF {}romj!tt!137!
!ell\EFF {}romj!tt!137!
!ellgenerators!tt!137!
!Mordell-Weil group!rm!137!
!elldata!tt!137!
!ellinit!tt!137!
!ellgenerators!tt!137!
!ellglobalred!tt!137!
!Tamagawa number!rm!137!
!ellminimalmodel!tt!137!
!Birch and Swinnerton-Dyer conjecture!rm!137!
!minimal model!rm!137!
!ellglobalred!tt!138!
!ellgroup!tt!138!
!ellgroup0!tt!139!
!ellgroup!tt!139!
!ellheegner!tt!139!
!ellheegner!tt!139!
!ellheight!tt!139!
!ellheight0!tt!139!
!ghell!tt!139!
!ellheightmatrix!tt!139!
!Mordell-Weil group!rm!139!
!mathell!tt!140!
!ellidenti\EFF {}y!tt!140!
!elldata!tt!140!
!Mordell-Weil group!rm!140!
!ellidenti\EFF {}y!tt!140!
!ellinit!tt!140!
!ell!tt!140!
!elldata!tt!140!
!\EFF {}\EFF {}gen!tt!140!
!ellinit!tt!141!
!ell!it!141!
!ellinit!tt!141!
!ellisoncurve!tt!141!
!ellisoncurve!tt!141!
!oncurve!tt!141!
!ellj!tt!142!
!jell!tt!142!
!elllocalred!tt!142!
!Kodaira!rm!142!
!Tamagawa number!rm!142!
!elllocalred!tt!142!
!elllog!tt!142!
!znlog!tt!142!
!elllog!tt!142!
!elllseries!tt!142!
!elllseries!tt!142!
!ellminimalmodel!tt!143!
!minimal model!rm!143!
!ellminimalmodel!tt!143!
!ellmodulareqn!tt!143!
!ellmodulareqn!tt!144!
!ellmul!tt!144!
!ellmul!tt!144!
!ellneg!tt!144!
!ellneg!tt!144!
!ellorder!tt!144!
!ellorder!tt!145!
!orderell!tt!145!
!ellordinate!tt!145!
!ellordinate!tt!145!
!ellperiods!tt!145!
!ellperiods!tt!145!
!ellpointtoz!tt!145!
!zell!tt!146!
!ellpow!tt!146!
!ellmul!tt!146!
!ellrootno!tt!146!
!Mordell-Weil group!rm!146!
!ellrootno!tt!146!
!ellsearch!tt!146!
!elldata!tt!146!
!ellconvertname!tt!146!
!Mordell-Weil group!rm!147!
!ellsearch!tt!147!
!ellsearchcurve!tt!147!
!ellsigma!tt!147!
!ellperiods!tt!147!
!ellsigma!tt!147!
!ellsub!tt!147!
!ellsub!tt!148!
!elltaniyama!tt!148!
!seriesprecision!tt!148!
!Weil curve!rm!148!
!elltaniyama!tt!148!
!elltatepairing!tt!148!
!elltatepairing!tt!148!
!elltors!tt!148!
!elltors0!tt!148!
!elltors!tt!148!
!ellweilpairing!tt!148!
!ellweilpairing!tt!148!
!ellwp!tt!148!
!ellperiods!tt!148!
!ellwp0!tt!149!
!ellwp!tt!149!
!ellwpseries!tt!149!
!ellzeta!tt!149!
!ellperiods!tt!149!
!elleta!tt!149!
!ellzeta!tt!149!
!ellztopoint!tt!149!
!Weierstrass $\wp$-\EFF {}unction!rm!149!
!pointell!tt!150!
!genus2red!tt!150!
!genus2red!tt!151!
!n\EFF {}!it!152!
!n\EFF {}init!tt!152!
!bn\EFF {}!it!152!
!bn\EFF {}init!tt!152!
!bnr!it!152!
!algebraic number!it!152!
!ideal!it!152!
!ideal (extended)!rm!152!
!idealred!tt!152!
!\EFF {}amat!it!152!
!n\EFF {}\EFF {}actorback!tt!152!
!ideallog!tt!152!
!character!it!153!
!subgroup!it!153!
!rn\EFF {}!it!153!
!ideal list!it!153!
!pseudo-matrix!it!153!
!integral pseudo-matrix!it!153!
!projective module!it!153!
!pseudo-basis!it!153!
!Hermite normal \EFF {}orm!rm!153!
!modulus!it!154!
!bid!it!154!
!bnrinit!tt!155!
!member \EFF {}unctions!rm!155!
!bid!tt!155!
!bn\EFF {}!tt!155!
!clgp!tt!155!
!cyc!tt!155!
!Smith normal \EFF {}orm!rm!155!
!gen (member \EFF {}unction)!rm!155!
!no!tt!155!
!di\EFF {}\EFF {}!tt!155!
!codi\EFF {}\EFF {}!tt!155!
!disc!tt!155!
!\EFF {}u!tt!155!
!\EFF {}undamental units!rm!155!
!index!tt!155!
!index!rm!155!
!mod!tt!155!
!n\EFF {}!tt!155!
!pol!tt!155!
!r1!tt!155!
!r2!tt!155!
!reg!tt!155!
!roots!tt!155!
!sign!tt!155!
!t2!tt!155!
!tu!tt!155!
!zk!tt!155!
!zkst!tt!155!
!\EFF {}utu!tt!155!
!tu\EFF {}u!tt!156!
!GRH!rm!156!
!Buchmann!rm!156!
!GRH!rm!156!
!bn\EFF {}certi\EFF {}y!tt!157!
!GRH!rm!157!
!bn\EFF {}certi\EFF {}y0!tt!157!
!bn\EFF {}certi\EFF {}y!tt!157!
!bn\EFF {}compress!tt!157!
!bn\EFF {}init!tt!157!
!snb\EFF {}!it!157!
!bn\EFF {}!it!157!
!bn\EFF {}compress!tt!158!
!bn\EFF {}decodemodule!tt!158!
!decodemodule!tt!158!
!bn\EFF {}init!tt!158!
!Buchmann!rm!158!
!\EFF {}undamental units!rm!158!
!bn\EFF {}isprincipal!tt!159!
!Smith normal \EFF {}orm!rm!159!
!bnrisprincipal!tt!159!
!bn\EFF {}init0!tt!159!
!Buchall!tt!159!
!n\EFF {}_FORCE!tt!159!
!Buchall_param!tt!159!
!bn\EFF {}isintnorm!tt!159!
!GRH!rm!159!
!bn\EFF {}isnorm!tt!159!
!bn\EFF {}isintnorm!tt!159!
!bn\EFF {}isintnormabs!tt!159!
!bn\EFF {}isnorm!tt!160!
!Galois!rm!160!
!GRH!rm!160!
!bn\EFF {}isintnorm!tt!160!
!bn\EFF {}isnorm!tt!160!
!bn\EFF {}isprincipal!tt!160!
!principal ideal!rm!160!
!bn\EFF {}isprincipal0!tt!161!
!n\EFF {}_GEN!tt!161!
!n\EFF {}_FORCE!tt!161!
!bn\EFF {}issunit!tt!161!
!bn\EFF {}issunit!tt!161!
!bn\EFF {}isunit!tt!161!
!bn\EFF {}isunit!tt!161!
!bn\EFF {}narrow!tt!161!
!Smith normal \EFF {}orm!rm!161!
!buchnarrow!tt!162!
!bn\EFF {}signunit!tt!162!
!signunits!tt!162!
!bn\EFF {}sunit!tt!162!
!bn\EFF {}sunit!tt!162!
!bnrL1!tt!162!
!character!rm!162!
!bnrL1!tt!163!
!bnrclassno!tt!163!
!bnrclassnolist!tt!163!
!bnrclassno0!tt!163!
!bnrclassno!tt!163!
!bnrclassnolist!tt!163!
!bnrclassno!tt!163!
!bnrclassnolist!tt!164!
!bnrconductor!tt!164!
!bnrinit!tt!164!
!bnrconductor0!tt!164!
!bnrconductor!tt!164!
!bnrconductoro\EFF {}char!tt!164!
!character!rm!164!
!bnrconductoro\EFF {}char!tt!164!
!bnrdisc!tt!164!
!bnrdisc0!tt!164!
!bnrdisclist!tt!165!
!bn\EFF {}decodemodule!tt!165!
!bnrclassno!tt!165!
!bnrdisc!tt!165!
!bnrdisclist0!tt!165!
!bnrinit!tt!165!
!idealstar!tt!165!
!ideal\EFF {}actor!tt!165!
!bnrinit0!tt!166!
!Buchray!tt!166!
!bnrisconductor!tt!166!
!bnrisconductor0!tt!166!
!bnrisprincipal!tt!166!
!bnrisprincipal!tt!166!
!isprincipalray!tt!166!
!bnrrootnumber!tt!166!
!character!rm!166!
!Artin L-\EFF {}unction!rm!166!
!Artin root number!rm!166!
!bnrrootnumber!tt!167!
!bnrstark!tt!167!
!galoissubcyclo!tt!167!
!Stark units!rm!167!
!rn\EFF {}kummer!tt!167!
!bnrstark!tt!168!
!dirzetak!tt!168!
!Dedekind!rm!168!
!Dirichlet series!rm!168!
!dirzetak!tt!168!
!\EFF {}actorn\EFF {}!tt!168!
!Trager!rm!168!
!n\EFF {}\EFF {}actor!tt!168!
!van Hoeij!rm!168!
!pol\EFF {}n\EFF {}!tt!168!
!galoisexport!tt!168!
!galoisinit!tt!168!
!galoissub\EFF {}ields!tt!168!
!galoisexport!tt!169!
!galois\EFF {}ixed\EFF {}ield!tt!169!
!galoisinit!tt!169!
!n\EFF {}sub\EFF {}ield!tt!169!
!galois\EFF {}ixed\EFF {}ield!tt!169!
!galoisgetpol!tt!169!
!galoisinit!tt!169!
!n\EFF {}galoisconj!tt!169!
!galoisgetpol!tt!169!
!galoisnbpol!tt!169!
!galoisidenti\EFF {}y!tt!169!
!galoisinit!tt!169!
!galoisexport!tt!170!
!galoisidenti\EFF {}y!tt!170!
!galoisinit!tt!170!
!n\EFF {}init!tt!170!
!galoisinit!tt!171!
!galoisisabelian!tt!171!
!galoisisabelian!tt!171!
!galoisisnormal!tt!171!
!galoisisnormal!tt!171!
!galoispermtopol!tt!171!
!galoispermtopol!tt!171!
!galoissubcyclo!tt!171!
!galoissubcyclo!tt!172!
!galoissub\EFF {}ields!tt!172!
!galoissub\EFF {}ields!tt!172!
!galoissubgroups!tt!172!
!galoissubgroups!tt!173!
!idealadd!tt!173!
!idealadd!tt!173!
!idealaddtoone!tt!173!
!idealaddtoone0!tt!174!
!idealappr!tt!174!
!idealappr0!tt!174!
!idealchinese!tt!174!
!idealchinese!tt!174!
!idealcoprime!tt!174!
!idealcoprime!tt!174!
!idealdiv!tt!174!
!idealdiv0!tt!174!
!idealdiv!tt!174!
!idealdivexact!tt!174!
!ideal\EFF {}actor!tt!174!
!ideal\EFF {}actor!tt!174!
!ideal\EFF {}actorback!tt!174!
!idealred!tt!175!
!n\EFF {}\EFF {}actorback!tt!175!
!ideal\EFF {}actorback!tt!175!
!ideal\EFF {}robenius!tt!175!
!ideal\EFF {}robenius!tt!175!
!idealhn\EFF {}!tt!176!
!Hermite normal \EFF {}orm!rm!176!
!idealhn\EFF {}0!tt!177!
!idealhn\EFF {}!tt!177!
!idealintersect!tt!177!
!idealintersect!tt!177!
!idealinv!tt!177!
!ideal (extended)!rm!177!
!idealinv!tt!177!
!ideallist!tt!177!
!bnrclassnolist!tt!177!
!bnrdisclist!tt!177!
!ideallistarch!tt!178!
!ideallist0!tt!178!
!ideallistarch!tt!178!
!ideallist!tt!178!
!ideallist!tt!178!
!ideallistarch!tt!178!
!ideallog!tt!178!
!znlog!tt!179!
!ideallog!tt!179!
!idealmin!tt!179!
!idealmin!tt!179!
!idealmul!tt!179!
!ideal (extended)!rm!179!
!idealmul0!tt!179!
!idealmul!tt!179!
!idealmulred!tt!179!
!idealnorm!tt!179!
!idealnorm!tt!179!
!idealnumden!tt!179!
!idealnumden!tt!179!
!idealpow!tt!179!
!ideal (extended)!rm!179!
!idealpow0!tt!180!
!idealpow!tt!180!
!idealpows!tt!180!
!idealpowred!tt!180!
!idealprimedec!tt!180!
!prid!it!180!
!idealprimedec!tt!180!
!idealprincipalunits!tt!180!
!idealprimedec!tt!180!
!idealstar!tt!180!
!idealprincipalunits!tt!181!
!idealramgroups!tt!181!
!rami\EFF {}ication group!rm!181!
!idealramgroups!tt!181!
!idealred!tt!181!
!LLL!rm!181!
!Buchmann!rm!181!
!principal ideal!rm!182!
!idealpow!tt!182!
!bn\EFF {}init!tt!182!
!bn\EFF {}isprincipal!tt!182!
!idealred0!tt!182!
!idealstar!tt!182!
!ideal\EFF {}actor!tt!182!
!ideallog!tt!183!
!Smith normal \EFF {}orm!rm!183!
!idealstar0!tt!183!
!Idealstar!tt!183!
!n\EFF {}_GEN!tt!183!
!n\EFF {}_INIT!tt!183!
!idealtwoelt!tt!183!
!idealtwoelt0!tt!183!
!idealtwoelt!tt!183!
!idealtwoelt2!tt!183!
!idealval!tt!183!
!idealval!tt!183!
!matalgtobasis!tt!183!
!n\EFF {}algtobasis!tt!183!
!matalgtobasis!tt!183!
!matbasistoalg!tt!183!
!n\EFF {}basistoalg!tt!183!
!matbasistoalg!tt!183!
!modreverse!tt!183!
!modreverse!tt!184!
!newtonpoly!tt!184!
!LONG_MAX!tt!184!
!newtonpoly!tt!184!
!n\EFF {}algtobasis!tt!184!
!algtobasis!tt!184!
!n\EFF {}basis!tt!185!
!integral basis!rm!185!
!round 4!rm!185!
!Ford!rm!185!
!Pauli!rm!185!
!Roblot!rm!185!
!addprimes!tt!186!
!n\EFF {}certi\EFF {}y!tt!186!
!n\EFF {}basis!tt!186!
!n\EFF {}basistoalg!tt!186!
!basistoalg!tt!187!
!n\EFF {}certi\EFF {}y!tt!187!
!n\EFF {}certi\EFF {}y!tt!187!
!n\EFF {}detint!tt!187!
!n\EFF {}detint!tt!187!
!n\EFF {}disc!tt!187!
!\EFF {}ield discriminant!rm!187!
!n\EFF {}disc!tt!187!
!n\EFF {}basis!tt!187!
!n\EFF {}eltadd!tt!188!
!n\EFF {}add!tt!188!
!n\EFF {}eltdiv!tt!188!
!n\EFF {}div!tt!188!
!n\EFF {}eltdiveuc!tt!188!
!n\EFF {}diveuc!tt!188!
!n\EFF {}eltdivmodpr!tt!188!
!n\EFF {}modprinit!tt!188!
!n\EFF {}divmodpr!tt!188!
!n\EFF {}eltdivrem!tt!188!
!n\EFF {}divrem!tt!188!
!n\EFF {}eltmod!tt!188!
!n\EFF {}mod!tt!188!
!n\EFF {}eltmul!tt!188!
!n\EFF {}mul!tt!188!
!n\EFF {}eltmulmodpr!tt!188!
!n\EFF {}modprinit!tt!188!
!n\EFF {}mulmodpr!tt!188!
!n\EFF {}eltnorm!tt!188!
!n\EFF {}norm!tt!188!
!n\EFF {}eltpow!tt!188!
!n\EFF {}pow!tt!189!
!n\EFF {}inv!tt!189!
!n\EFF {}sqr!tt!189!
!n\EFF {}eltpowmodpr!tt!189!
!n\EFF {}modprinit!tt!189!
!n\EFF {}powmodpr!tt!189!
!n\EFF {}eltreduce!tt!189!
!n\EFF {}reduce!tt!189!
!n\EFF {}eltreducemodpr!tt!189!
!n\EFF {}reducemodpr!tt!189!
!n\EFF {}elttrace!tt!189!
!n\EFF {}trace!tt!189!
!n\EFF {}eltval!tt!189!
!n\EFF {}val!tt!189!
!n\EFF {}\EFF {}actor!tt!189!
!n\EFF {}disc!tt!189!
!n\EFF {}basis!tt!189!
!n\EFF {}\EFF {}actor!tt!190!
!n\EFF {}\EFF {}actorback!tt!190!
!n\EFF {}\EFF {}actorback!tt!190!
!n\EFF {}\EFF {}actormod!tt!190!
!idealprimedec!tt!190!
!modprinit!tt!190!
!n\EFF {}\EFF {}actormod!tt!190!
!n\EFF {}galoisapply!tt!190!
!Galois!rm!190!
!galoisapply!tt!191!
!n\EFF {}galoisconj!tt!191!
!Galois!rm!191!
!LLL!rm!191!
!galoisinit!tt!192!
!galoisconj0!tt!192!
!galoisconj!tt!192!
!n\EFF {}hilbert!tt!192!
!Hilbert symbol!rm!192!
!n\EFF {}hilbert0!tt!192!
!n\EFF {}hilbert!tt!192!
!n\EFF {}hn\EFF {}!tt!192!
!Hermite normal \EFF {}orm!rm!192!
!n\EFF {}hn\EFF {}!tt!192!
!rn\EFF {}simpli\EFF {}ybasis!tt!192!
!n\EFF {}hn\EFF {}mod!tt!192!
!Hermite normal \EFF {}orm!rm!192!
!n\EFF {}hn\EFF {}mod!tt!192!
!n\EFF {}init!tt!192!
!idealinv!tt!193!
!n\EFF {}newprec!tt!193!
!n\EFF {}basis!tt!194!
!n\EFF {}basis!tt!194!
!addprimes!tt!194!
!n\EFF {}certi\EFF {}y!tt!194!
!polredbest!tt!194!
!n\EFF {}init0!tt!194!
!n\EFF {}init!tt!194!
!n\EFF {}initred!tt!194!
!n\EFF {}initred2!tt!194!
!n\EFF {}initall!tt!194!
!n\EFF {}_RED!tt!194!
!n\EFF {}_ORIG!tt!195!
!n\EFF {}_RED!tt!195!
!n\EFF {}_ROUND2!tt!195!
!n\EFF {}_PARTIALFACT!tt!195!
!n\EFF {}isideal!tt!195!
!isideal!tt!195!
!n\EFF {}isincl!tt!195!
!n\EFF {}\EFF {}actor!tt!195!
!n\EFF {}isincl!tt!195!
!n\EFF {}isisom!tt!195!
!n\EFF {}isincl!tt!195!
!n\EFF {}isisom!tt!195!
!n\EFF {}kermodpr!tt!195!
!n\EFF {}kermodpr!tt!195!
!n\EFF {}modprinit!tt!195!
!modpr!tt!195!
!n\EFF {}modprinit!tt!195!
!n\EFF {}newprec!tt!195!
!n\EFF {}newprec!tt!195!
!bn\EFF {}newprec!tt!195!
!bnrnewprec!tt!195!
!n\EFF {}roots!tt!195!
!addprimes!tt!195!
!n\EFF {}roots!tt!196!
!n\EFF {}rootsQ!tt!196!
!n\EFF {}rootso\EFF {}1!tt!196!
!rootso\EFF {}1!tt!196!
!rootso\EFF {}1_kannan!tt!196!
!n\EFF {}sn\EFF {}!tt!196!
!Smith normal \EFF {}orm!rm!196!
!n\EFF {}sn\EFF {}!tt!196!
!n\EFF {}solvemodpr!tt!197!
!n\EFF {}solvemodpr!tt!197!
!n\EFF {}sub\EFF {}ields!tt!197!
!galoissub\EFF {}ields!tt!197!
!Galois!rm!197!
!sub\EFF {}ield!rm!197!
!n\EFF {}sub\EFF {}ields!tt!197!
!polcompositum!tt!197!
!compositum!rm!197!
!polcompositum0!tt!198!
!compositum!tt!198!
!compositum2!tt!198!
!polgalois!tt!198!
!Galois!rm!198!
!galdata!tt!198!
!new_galois_\EFF {}ormat!tt!199!
!polgalois!tt!199!
!new_galois_\EFF {}ormat!tt!199!
!polred!tt!199!
!polredbest!tt!199!
!n\EFF {}init!tt!199!
!primelimit!tt!199!
!addprimes!tt!199!
!polred!tt!200!
!polred2!tt!200!
!polredabs!tt!200!
!n\EFF {}init!tt!200!
!n\EFF {}certi\EFF {}y!tt!200!
!polredbest!tt!200!
!polredbest!tt!200!
!polredabs0!tt!200!
!n\EFF {}_PARTIALFACT!tt!201!
!n\EFF {}_ORIG!tt!201!
!n\EFF {}_RAW!tt!201!
!n\EFF {}_ORIG!tt!201!
!modreverse!tt!201!
!n\EFF {}_ADDZK!tt!201!
!n\EFF {}_ALL!tt!201!
!polredbest!tt!201!
!n\EFF {}init!tt!201!
!polredabs!tt!201!
!polredabs!tt!201!
!polredbest!tt!202!
!polredord!tt!202!
!polredord!tt!202!
!poltschirnhaus!tt!202!
!tschirnhaus!tt!202!
!rn\EFF {}algtobasis!tt!202!
!rn\EFF {}algtobasis!tt!202!
!rn\EFF {}basis!tt!202!
!rn\EFF {}basis!tt!202!
!rn\EFF {}basistoalg!tt!202!
!rn\EFF {}basistoalg!tt!202!
!rn\EFF {}charpoly!tt!202!
!rn\EFF {}charpoly!tt!202!
!rn\EFF {}conductor!tt!203!
!Abelian extension!rm!203!
!rn\EFF {}conductor!tt!203!
!rn\EFF {}dedekind!tt!203!
!Dedekind!rm!203!
!rn\EFF {}dedekind!tt!204!
!rn\EFF {}det!tt!204!
!rn\EFF {}det!tt!204!
!rn\EFF {}disc!tt!204!
!rn\EFF {}disc\EFF {}!tt!204!
!rn\EFF {}eltabstorel!tt!204!
!rn\EFF {}eltabstorel!tt!204!
!rn\EFF {}eltdown!tt!204!
!rn\EFF {}eltdown!tt!205!
!rn\EFF {}eltnorm!tt!205!
!rn\EFF {}eltnorm!tt!205!
!rn\EFF {}eltreltoabs!tt!205!
!rn\EFF {}eltreltoabs!tt!205!
!rn\EFF {}elttrace!tt!205!
!rn\EFF {}elttrace!tt!206!
!rn\EFF {}eltup!tt!206!
!rn\EFF {}eltup!tt!206!
!rn\EFF {}equation!tt!206!
!rn\EFF {}equation0!tt!207!
!rn\EFF {}equation!tt!207!
!rn\EFF {}equation2!tt!207!
!rn\EFF {}hn\EFF {}basis!tt!207!
!rn\EFF {}hn\EFF {}basis!tt!207!
!rn\EFF {}idealabstorel!tt!207!
!rn\EFF {}idealabstorel!tt!207!
!rn\EFF {}idealdown!tt!207!
!rn\EFF {}idealdown!tt!207!
!rn\EFF {}idealhn\EFF {}!tt!208!
!rn\EFF {}idealhn\EFF {}!tt!208!
!rn\EFF {}idealmul!tt!208!
!rn\EFF {}idealmul!tt!208!
!rn\EFF {}idealnormabs!tt!208!
!rn\EFF {}idealnormabs!tt!208!
!rn\EFF {}idealnormrel!tt!208!
!rn\EFF {}idealnormrel!tt!208!
!rn\EFF {}idealreltoabs!tt!208!
!rn\EFF {}idealreltoabs!tt!208!
!rn\EFF {}idealtwoelt!tt!208!
!rn\EFF {}idealtwoelement!tt!208!
!rn\EFF {}idealup!tt!208!
!rn\EFF {}idealup!tt!209!
!rn\EFF {}init!tt!209!
!rn\EFF {}init!tt!210!
!rn\EFF {}isabelian!tt!210!
!rn\EFF {}isabelian!tt!210!
!rn\EFF {}is\EFF {}ree!tt!210!
!rn\EFF {}is\EFF {}ree!tt!210!
!rn\EFF {}isnorm!tt!210!
!rn\EFF {}isnorminit!tt!210!
!GRH!rm!210!
!rn\EFF {}isnorminit!tt!210!
!Galois!rm!210!
!rn\EFF {}isnorm!tt!211!
!rn\EFF {}isnorminit!tt!211!
!rn\EFF {}isnorm!tt!211!
!rn\EFF {}isnorm!tt!211!
!rn\EFF {}isnorminit!tt!211!
!rn\EFF {}kummer!tt!211!
!rn\EFF {}kummer!tt!211!
!rn\EFF {}lllgram!tt!211!
!rn\EFF {}lllgram!tt!211!
!rn\EFF {}normgroup!tt!211!
!Abelian extension!rm!211!
!rn\EFF {}normgroup!tt!211!
!rn\EFF {}polred!tt!211!
!rn\EFF {}polredbest!tt!211!
!rn\EFF {}polred!tt!212!
!rn\EFF {}polredabs!tt!212!
!rn\EFF {}polredbest!tt!212!
!rn\EFF {}polredbest!tt!212!
!rn\EFF {}polredabs!tt!212!
!rn\EFF {}polredbest!tt!212!
!rn\EFF {}polredabs!tt!212!
!rn\EFF {}polredbest!tt!213!
!rn\EFF {}pseudobasis!tt!213!
!rn\EFF {}pseudobasis!tt!213!
!rn\EFF {}steinitz!tt!213!
!Steinitz class!rm!213!
!rn\EFF {}steinitz!tt!213!
!subgrouplist!tt!213!
!bnrstark!tt!214!
!rn\EFF {}kummer!tt!214!
!subgrouplist0!tt!214!
!zetak!tt!214!
!Dedekind!rm!214!
!gzetakall!tt!215!
!glambdak!tt!215!
!gzetak!tt!215!
!zetakinit!tt!215!
!Dedekind!rm!215!
!initzeta!tt!215!
!O!tt!215!
!ggrando!tt!215!
!zeropadic!tt!215!
!zeroser!tt!215!
!bezoutres!tt!215!
!polresultantext0!tt!215!
!deriv!tt!215!
!deriv!tt!215!
!di\EFF {}\EFF {}op!tt!216!
!di\EFF {}\EFF {}op0!tt!216!
!di\EFF {}\EFF {}op!tt!216!
!eval!tt!216!
!geval!tt!217!
!\EFF {}actorpadic!tt!217!
!round 4!rm!218!
!Zassenhaus!rm!218!
!truncate!tt!218!
!\EFF {}actorpadic!tt!218!
!int\EFF {}ormal!tt!218!
!\EFF {}ormal integration!rm!218!
!integ!tt!218!
!padicappr!tt!218!
!padicappr!tt!219!
!Zp_appr!tt!219!
!padic\EFF {}ields!tt!219!
!padic\EFF {}ields0!tt!219!
!padic\EFF {}ields!tt!219!
!polchebyshev!tt!219!
!Chebyshev!rm!219!
!polchebyshev_eval!tt!219!
!polchebyshev!tt!219!
!polchebyshev1!tt!219!
!polchebyshev2!tt!219!
!polcoe\EFF {}\EFF {}!tt!219!
!polcoe\EFF {}\EFF {}0!tt!219!
!polcyclo!tt!219!
!polcyclo_eval!tt!220!
!polcyclo!tt!220!
!polcyclo\EFF {}actors!tt!220!
!polcyclo\EFF {}actors!tt!220!
!poldegree!tt!220!
!poldegree!tt!220!
!poldisc!tt!220!
!subresultant algorithm!rm!220!
!poldisc0!tt!220!
!poldiscreduced!tt!220!
!reduceddiscsmith!tt!220!
!polgrae\EFF {}\EFF {}e!tt!220!
!Grae\EFF {}\EFF {}e!rm!220!
!polgrae\EFF {}\EFF {}e!tt!220!
!polhenselli\EFF {}t!tt!221!
!polhenselli\EFF {}t!tt!221!
!polhermite!tt!221!
!Hermite!rm!221!
!polhermite_eval!tt!221!
!polhermite!tt!221!
!polinterpolate!tt!221!
!interpolating polynomial!rm!221!
!polint!tt!221!
!poliscyclo!tt!221!
!poliscyclo!tt!221!
!poliscycloprod!tt!221!
!poliscycloprod!tt!222!
!polisirreducible!tt!222!
!isirreducible!tt!222!
!pollead!tt!222!
!pollead!tt!222!
!pollegendre!tt!222!
!Legendre polynomial!rm!222!
!pollegendre_eval!tt!222!
!pollegendre!tt!222!
!polrecip!tt!222!
!polrecip!tt!222!
!polresultant!tt!222!
!polresultantext!tt!222!
!subresultant algorithm!rm!222!
!polresultant0!tt!222!
!polresultantext!tt!222!
!polresultantext0!tt!223!
!polresultantext!tt!223!
!polroots!tt!223!
!Sch\"onage!rm!223!
!roots!tt!223!
!polrootsmod!tt!223!
!rootmod0!tt!223!
!polrootspadic!tt!223!
!truncate!tt!223!
!rootpadic!tt!223!
!polsturm!tt!223!
!sturmpart!tt!223!
!sturm!tt!223!
!polsubcyclo!tt!224!
!galoissubcyclo!tt!224!
!polsubcyclo!tt!224!
!polsylvestermatrix!tt!224!
!sylvestermatrix!tt!224!
!polsym!tt!224!
!symmetric powers!rm!224!
!polsym!tt!224!
!poltchebi!tt!224!
!polchebyshev1!tt!224!
!polzagier!tt!224!
!polzag!tt!224!
!serconvol!tt!224!
!Hadamard product!rm!224!
!convol!tt!224!
!serlaplace!tt!224!
!laplace!tt!224!
!serreverse!tt!224!
!serreverse!tt!225!
!subst!tt!225!
!gsubst!tt!225!
!substpol!tt!225!
!gsubstpol!tt!225!
!gde\EFF {}late!tt!225!
!substvec!tt!225!
!gsubstvec!tt!226!
!sum\EFF {}ormal!tt!226!
!\EFF {}ormal sum!rm!226!
!sum\EFF {}ormal!tt!226!
!taylor!tt!226!
!Ser!tt!226!
!tayl!tt!226!
!thue!tt!226!
!thueinit!tt!226!
!thue!tt!227!
!thueinit!tt!227!
!thue!tt!227!
!GRH!rm!227!
!thue!tt!227!
!thueinit!tt!228!
!mathn\EFF {}!tt!228!
!q\EFF {}lll!tt!228!
!algdep!tt!228!
!algebraic dependence!rm!228!
!subst!tt!228!
!polroots!tt!228!
!lindep!tt!228!
!algdep0!tt!229!
!algdep!tt!229!
!charpoly!tt!229!
!characteristic polynomial!rm!229!
!charpoly0!tt!229!
!charpoly!tt!229!
!caract!tt!229!
!carhess!tt!229!
!carberkowitz!tt!229!
!caradj!tt!229!
!matadjoint!tt!229!
!concat!tt!230!
!matconcat!tt!230!
!Mat!tt!230!
!matconcat!tt!230!
!concat!tt!231!
!concat1!tt!231!
!\EFF {}orq\EFF {}vec!tt!231!
!\EFF {}orq\EFF {}vec0!tt!231!
!\EFF {}orq\EFF {}vec!tt!231!
!lindep!tt!231!
!linear dependence!rm!231!
!lindep0!tt!232!
!lindep!tt!232!
!lindep2!tt!232!
!padic_lindep!tt!232!
!Xadic_lindep!tt!232!
!deplin!tt!232!
!listcreate!tt!232!
!listinsert!tt!232!
!listinsert!tt!232!
!listkill!tt!232!
!listkill!tt!232!
!listpop!tt!232!
!listpop!tt!232!
!listput!tt!232!
!listput!tt!232!
!listsort!tt!233!
!cmp!tt!233!
!setsearch!tt!233!
!listsort!tt!233!
!matadjoint!tt!233!
!adjoint matrix!rm!233!
!matadjoint0!tt!233!
!adj!tt!233!
!adjsa\EFF {}e!tt!233!
!matcompanion!tt!233!
!matcompanion!tt!233!
!matconcat!tt!233!
!matconcat!tt!235!
!matdet!tt!235!
!det0!tt!235!
!det!tt!235!
!det2!tt!235!
!ZM_det!tt!235!
!matdetint!tt!235!
!detint!tt!235!
!matdiagonal!tt!235!
!matconcat!tt!235!
!diagonal!tt!236!
!mateigen!tt!236!
!q\EFF {}jacobi!tt!236!
!mateigen!tt!236!
!eigen!tt!236!
!mat\EFF {}robenius!tt!237!
!mat\EFF {}robenius!tt!237!
!mathess!tt!237!
!hess!tt!237!
!mathilbert!tt!237!
!Hilbert matrix!rm!237!
!mathilbert!tt!237!
!mathn\EFF {}!tt!237!
!Hermite normal \EFF {}orm!rm!237!
!matsn\EFF {}!tt!237!
!LLL!rm!237!
!Mat!tt!238!
!mathn\EFF {}0!tt!239!
!hn\EFF {}!tt!239!
!hn\EFF {}all!tt!239!
!mathn\EFF {}mod!tt!239!
!Hermite normal \EFF {}orm!rm!239!
!hn\EFF {}mod!tt!239!
!mathn\EFF {}modid!tt!239!
!Hermite normal \EFF {}orm!rm!239!
!hn\EFF {}modid!tt!239!
!mathouseholder!tt!239!
!Householder trans\EFF {}orm!rm!239!
!mathouseholder!tt!239!
!matid!tt!239!
!matid!tt!239!
!matimage!tt!239!
!matimage0!tt!239!
!image!tt!239!
!matimagecompl!tt!240!
!imagecompl!tt!240!
!matindexrank!tt!240!
!vecextract!tt!240!
!indexrank!tt!240!
!matintersect!tt!240!
!idealintersect!tt!240!
!n\EFF {}hn\EFF {}!tt!240!
!intersect!tt!240!
!matinverseimage!tt!240!
!inverseimage!tt!240!
!matisdiagonal!tt!240!
!isdiagonal!tt!240!
!matker!tt!240!
!matker0!tt!241!
!ker!tt!241!
!keri!tt!241!
!matkerint!tt!241!
!LLL!rm!241!
!matkerint0!tt!241!
!kerint!tt!241!
!matmuldiagonal!tt!241!
!matmuldiagonal!tt!241!
!matmultodiagonal!tt!241!
!matmultodiagonal!tt!241!
!matpascal!tt!241!
!Pascal triangle!rm!241!
!matqpascal!tt!241!
!matpascal!tt!241!
!matqr!tt!241!
!QR-decomposition!rm!241!
!Householder trans\EFF {}orm!rm!241!
!matqr!tt!241!
!matrank!tt!241!
!rank!tt!242!
!matrix!tt!242!
!matrixqz!tt!242!
!matrixqz0!tt!242!
!matsize!tt!242!
!matsize!tt!242!
!matsn\EFF {}!tt!242!
!elementary divisors!rm!242!
!Smith normal \EFF {}orm!rm!242!
!matsn\EFF {}0!tt!243!
!matsolve!tt!243!
!gauss!tt!243!
!ZM_gauss!tt!243!
!matsolvemod!tt!243!
!matsolvemod0!tt!243!
!gaussmodulo!tt!243!
!gaussmodulo2!tt!243!
!matsupplement!tt!243!
!suppl!tt!244!
!mattranspose!tt!244!
!gtrans!tt!244!
!minpoly!tt!244!
!minimal polynomial!rm!244!
!minpoly!tt!244!
!norml2!tt!244!
!gnorml2!tt!244!
!normlp!tt!244!
!gnormlp!tt!245!
!q\EFF {}auto!tt!245!
!q\EFF {}auto0!tt!245!
!q\EFF {}auto!tt!245!
!q\EFF {}autoexport!tt!245!
!q\EFF {}auto!tt!245!
!q\EFF {}autoexport!tt!245!
!q\EFF {}bil!tt!246!
!q\EFF {}norm!tt!246!
!q\EFF {}bil!tt!246!
!q\EFF {}gaussred!tt!246!
!decomposition into squares!rm!246!
!q\EFF {}gaussred!tt!246!
!q\EFF {}gaussred_positive!tt!246!
!q\EFF {}isom!tt!247!
!q\EFF {}isom0!tt!247!
!q\EFF {}isom!tt!247!
!q\EFF {}isominit!tt!247!
!q\EFF {}isominit0!tt!247!
!q\EFF {}isominit!tt!247!
!q\EFF {}jacobi!tt!247!
!jacobi!tt!248!
!q\EFF {}lll!tt!248!
!LLL!rm!248!
!q\EFF {}lll0!tt!248!
!lll!tt!248!
!lllint!tt!248!
!lllkerim!tt!248!
!q\EFF {}lllgram!tt!248!
!q\EFF {}lll!tt!248!
!q\EFF {}lllgram0!tt!249!
!lllgram!tt!249!
!lllgramint!tt!249!
!lllgramkerim!tt!249!
!q\EFF {}minim!tt!249!
!Leech lattice!rm!250!
!minimal vector!rm!250!
!q\EFF {}minim0!tt!250!
!minim!tt!250!
!minim2!tt!250!
!minim_raw!tt!250!
!q\EFF {}norm!tt!250!
!q\EFF {}bil!tt!250!
!q\EFF {}norm!tt!251!
!q\EFF {}per\EFF {}ection!tt!251!
!per\EFF {}!tt!251!
!q\EFF {}rep!tt!251!
!q\EFF {}minim!tt!251!
!q\EFF {}rep0!tt!251!
!q\EFF {}sign!tt!251!
!q\EFF {}sign!tt!251!
!seralgdep!tt!251!
!algebraic dependence!rm!251!
!seralgdep!tt!251!
!setbinop!tt!251!
!setbinop!tt!252!
!setintersect!tt!252!
!setintersect!tt!252!
!setisset!tt!252!
!setisset!tt!252!
!setminus!tt!252!
!setminus!tt!252!
!setsearch!tt!252!
!cmp!tt!252!
!listsort!tt!252!
!setsearch!tt!253!
!setunion!tt!253!
!setunion!tt!253!
!trace!tt!253!
!gtrace!tt!253!
!vecextract!tt!253!
!extract0!tt!254!
!vecsearch!tt!254!
!vecsort!tt!254!
!vecsearch!tt!255!
!vecsort!tt!255!
!sign!tt!255!
!vecsort0!tt!256!
!vecsum!tt!256!
!vecsum!tt!256!
!vector!tt!256!
!vectorsmall!tt!256!
!vectorv!tt!256!
!vector!tt!256!
!numerical integration!rm!257!
!intnum!tt!257!
!derivnum!tt!257!
!derivnum!tt!257!
!deriv\EFF {}un!tt!257!
!intcirc!tt!257!
!intcirc!tt!258!
!int\EFF {}ouriercos!tt!258!
!int\EFF {}ouriercos!tt!258!
!int\EFF {}ourierexp!tt!258!
!int\EFF {}ourierexp!tt!258!
!int\EFF {}ouriersin!tt!258!
!int\EFF {}ouriersin!tt!258!
!int\EFF {}uncinit!tt!258!
!int\EFF {}uncinit!tt!258!
!intlaplaceinv!tt!258!
!intlaplaceinv!tt!259!
!intmellininv!tt!259!
!intmellininv!tt!260!
!intmellininvshort!tt!260!
!intmellininvshort!tt!260!
!intnum!tt!260!
!intnumstep!tt!261!
!intnuminit!tt!261!
!sumalt!tt!264!
!intnum!tt!265!
!intnuminit!tt!265!
!intnuminit!tt!265!
!intnuminitgen!tt!265!
!intnuminitgen!tt!265!
!intnumromb!tt!265!
!intnum!tt!265!
!in\EFF {}inity!rm!266!
!intnumromb!tt!266!
!intnumstep!tt!266!
!intnumstep!tt!266!
!prod!tt!266!
!eta!tt!266!
!produit!tt!266!
!prodeuler!tt!266!
!Euler product!rm!266!
!prodeuler!tt!267!
!prodin\EFF {}!tt!267!
!in\EFF {}inite product!rm!267!
!prodin\EFF {}!tt!267!
!prodin\EFF {}1!tt!267!
!solve!tt!267!
!zbrent!tt!267!
!sum!tt!267!
!somme!tt!267!
!sumalt!tt!267!
!alternating series!rm!267!
!sumin\EFF {}!tt!267!
!sumalt!tt!268!
!sumalt2!tt!268!
!sumdiv!tt!268!
!sumdivmult!tt!268!
!sumdivmult!tt!268!
!sumin\EFF {}!tt!268!
!in\EFF {}inite sum!rm!268!
!sumalt!tt!268!
!sumpos!tt!268!
!sumin\EFF {}!tt!268!
!sumnum!tt!268!
!intnum!tt!269!
!sumin\EFF {}!tt!270!
!sumpos!tt!270!
!sumnum!tt!270!
!sumnumalt!tt!270!
!sumnumalt!tt!271!
!sumnuminit!tt!271!
!sumnuminit!tt!271!
!sumpos!tt!271!
!sumalt!tt!271!
!sumalt!tt!271!
!sumpos!tt!271!
!sumpos2!tt!271!
!Qt!tt!271!
!\EFF {}ltk!tt!271!
!PostScript!tt!272!
!ps\EFF {}ile!tt!272!
!plot!tt!273!
!plotbox!tt!273!
!plotclip!tt!273!
!plotcopy!tt!273!
!plotcolor!tt!273!
!graphcolormap!tt!273!
!plotcopy!tt!273!
!plotcursor!tt!273!
!plotdraw!tt!273!
!ploth!tt!274!
!parametric plot!it!274!
!recursive plot!it!274!
!plotscale!tt!274!
!plotrecth!tt!274!
!plothraw!tt!275!
!plothsizes!tt!275!
!plotinit!tt!275!
!plothsizes!tt!276!
!plotkill!tt!276!
!plotlines!tt!276!
!plotlinetype!tt!276!
!plotmove!tt!276!
!plotpoints!tt!276!
!plotpointsize!tt!276!
!plotpointtype!tt!276!
!plotrbox!tt!276!
!plotrecth!tt!277!
!plotrecthraw!tt!277!
!plotrline!tt!277!
!plotrmove!tt!277!
!plotrpoint!tt!277!
!plotscale!tt!277!
!plotstring!tt!277!
!psdraw!tt!277!
!psploth!tt!277!
!psplothraw!tt!278!
!programming!rm!278!
!break!tt!278!
!breakpoint!tt!278!
!dbg_down!tt!278!
!dbg_err!tt!279!
!i\EFF {}err!tt!279!
!dbg_up!tt!279!
!dbg_up!tt!279!
!dbg_down!tt!279!
!dbg_x!tt!279!
!\EFF {}or!tt!279!
!\EFF {}orcomposite!tt!279!
!\EFF {}ordiv!tt!279!
!divisors!tt!279!
!\EFF {}orell!tt!280!
!elldata!tt!280!
!\EFF {}orell!tt!280!
!\EFF {}orpart!tt!280!
!\EFF {}orpart!tt!281!
!\EFF {}orprime!tt!281!
!\EFF {}orstep!tt!281!
!\EFF {}orsubgroup!tt!282!
!Smith normal \EFF {}orm!rm!282!
!subgroup!rm!282!
!subgrouplist!tt!282!
!galoissubcyclo!tt!282!
!galois\EFF {}ixed\EFF {}ield!tt!282!
!Galois!rm!282!
!\EFF {}orsubgroup!tt!282!
!\EFF {}orvec!tt!282!
!i\EFF {}!tt!283!
!i\EFF {}err!tt!283!
!component!tt!283!
!error(E)!tt!283!
!pari_malloc!tt!285!
!pari_realloc!tt!285!
!alarm!tt!286!
!error!tt!286!
!next!tt!286!
!return!tt!287!
!until!tt!287!
!while!tt!287!
!Strprint\EFF {}!tt!287!
!addhelp!tt!287!
!addhelp!tt!287!
!addhelp!tt!287!
!alarm!tt!287!
!\EFF {}actor_add_primes!tt!288!
!alias!tt!288!
!alias0!tt!289!
!allocatemem!tt!289!
!apply!tt!290!
!genapply!tt!291!
!de\EFF {}ault!tt!291!
!de\EFF {}ault0!tt!291!
!errname!tt!291!
!errname!tt!291!
!error!tt!291!
!extern!tt!291!
!externstr!tt!291!
!getabstime!tt!291!
!getabstime!tt!291!
!getenv!tt!291!
!gp_getenv!tt!291!
!getheap!tt!292!
!getheap!tt!292!
!getrand!tt!292!
!random!tt!292!
!setrand!tt!292!
!getrand!tt!292!
!getstack!tt!292!
!getstack!tt!292!
!gettime!tt!292!
!getabstime!tt!292!
!gettime!tt!292!
!global!tt!292!
!inline!tt!292!
!input!tt!292!
!install!tt!292!
!system!tt!292!
!gpinstall!tt!293!
!kill!tt!294!
!quote!rm!294!
!kill0!tt!294!
!print!tt!294!
!print1!tt!294!
!print\EFF {}!tt!294!
!print\EFF {}!tt!297!
!printsep!tt!297!
!printsep1!tt!297!
!printtex!tt!297!
!log!tt!297!
!log\EFF {}ile!rm!297!
!quit!tt!297!
!read!tt!297!
!binary \EFF {}ile!tt!297!
!allocatemem!tt!297!
!readstr!tt!298!
!readvec!tt!298!
!gp_readvec_\EFF {}ile!tt!298!
!gp_readvec_stream!tt!298!
!select!tt!298!
!genselect!tt!299!
!genindexselect!tt!299!
!setrand!tt!299!
!setrand!tt!299!
!system!tt!299!
!trap!tt!299!
!i\EFF {}err!tt!299!
!trap!tt!299!
!trap0!tt!300!
!type!tt!300!
!type0!tt!300!
!uninline!tt!300!
!version!tt!300!
!pari_version!tt!301!
!warning!tt!301!
!whatnow!tt!301!
!write!tt!301!
!write1!tt!302!
!writebin!tt!302!
!write!tt!302!
!read!tt!302!
!gzip!tt!302!
!binary \EFF {}ile!rm!302!
!gpwritebin!tt!302!
!writetex!tt!302!
!parapply!tt!302!
!parapply!tt!303!
!pareval!tt!303!
!pareval!tt!303!
!par\EFF {}or!tt!303!
!par\EFF {}orprime!tt!303!
!parselect!tt!303!
!parselect!tt!303!
!parsum!tt!303!
!parvector!tt!303!
!TeXstyle!tt!304!
!breakloop!tt!304!
!colors!tt!304!
!compatible!tt!304!
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!datadir!tt!305!
!debug!tt!305!
!debug\EFF {}iles!tt!305!
!debugmem!tt!305!
!echo!tt!305!
!de\EFF {},\EFF {}actor_add_primes!tt!306!
!addprimes!tt!306!
!removeprimes!tt!306!
!de\EFF {},\EFF {}actor_proven!tt!306!
!addprimes!tt!306!
!\EFF {}ormat!tt!306!
!scienti\EFF {}ic \EFF {}ormat!rm!306!
!\EFF {}ixed \EFF {}loating point \EFF {}ormat!rm!306!
!print\EFF {}!tt!306!
!Strprint\EFF {}!tt!306!
!graphcolormap!tt!306!
!plotcolor!tt!306!
!graphcolors!tt!307!
!graphcolormap!tt!307!
!help!tt!307!
!hist\EFF {}ile!tt!307!
!histsize!tt!307!
!lines!tt!307!
!linewrap!tt!307!
!log!tt!307!
!TeXstyle!tt!308!
!log\EFF {}ile!tt!308!
!nbthreads!tt!308!
!de\EFF {},new_galois_\EFF {}ormat!tt!308!
!polgalois!tt!308!
!output!tt!308!
!raw \EFF {}ormat!it!308!
!prettymatrix \EFF {}ormat!it!308!
!external prettyprint!it!308!
!prettyprinter!tt!308!
!tex2mail!tt!308!
!parisize!tt!308!
!stack!it!308!
!gprc!tt!308!
!allocatemem!tt!309!
!path!tt!309!
!prettyprinter!tt!309!
!tex2mail!tt!309!
!primelimit!tt!309!
!n\EFF {}_PARTIALFACT!tt!309!
!n\EFF {}basis!tt!309!
!n\EFF {}disc!tt!309!
!n\EFF {}init!tt!309!
!prompt!tt!309!
!str\EFF {}time!tt!309!
!de\EFF {},prompt_cont!tt!310!
!ps\EFF {}ile!tt!310!
!readline!tt!310!
!cmdtool!tt!310!
!realprecision!tt!310!
!\EFF {}ormat!tt!310!
!recover!tt!311!
!secure!tt!311!
!system!tt!311!
!extern!tt!311!
!seriesprecision!tt!311!
!simpli\EFF {}y!tt!311!
!automatic simpli\EFF {}ication!rm!311!
!sopath!tt!311!
!install!tt!311!
!install!tt!311!
!strictargs!tt!312!
!strictmatch!tt!312!
!threadsize!tt!312!
!stack!it!312!
!timer!tt!312!
!timer!tt!312!
!CPU time!rm!313!
!PariEmacs!tt!315!
The End