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!gbittest!tt!136!
!bittest!tt!136!
!int_bit!tt!136!
!bitxor!tt!136!
!or!tt!136!
!bitwise exclusive or!rm!136!
!gbitxor!tt!136!
!ibitxor!tt!136!
!ceil!tt!136!
!gceil!tt!136!
!centerli\EFF {}t!tt!136!
!li\EFF {}t!tt!136!
!bestappr!tt!136!
!centerli\EFF {}t!tt!136!
!characteristic!tt!136!
!characteristic!tt!137!
!component!tt!137!
!code words!rm!137!
!polcoe\EFF {}\EFF {}!tt!137!
!x[n]!tt!137!
!x[m,n]!tt!137!
!x[m,]!tt!137!
!x[,n]!tt!137!
!compo!tt!137!
!conj!tt!137!
!gconj!tt!137!
!conjvec!tt!137!
!conjvec!tt!137!
!denominator!tt!137!
!denominator!tt!138!
!denom!tt!138!
!Q_denom!tt!138!
!digits!tt!138!
!digits!tt!138!
!exponent!tt!138!
!gpexponent!tt!139!
!\EFF {}loor!tt!139!
!g\EFF {}loor!tt!139!
!\EFF {}rac!tt!139!
!g\EFF {}rac!tt!139!
!\EFF {}romdigits!tt!139!
!\EFF {}romdigits!tt!139!
!imag!tt!140!
!gimag!tt!140!
!length!tt!140!
!glength!tt!140!
!li\EFF {}t!tt!140!
!truncate!tt!140!
!li\EFF {}tint!tt!141!
!li\EFF {}tpol!tt!141!
!centerli\EFF {}t!tt!141!
!li\EFF {}t0!tt!141!
!li\EFF {}t!tt!141!
!li\EFF {}tall!tt!141!
!truncate!tt!141!
!li\EFF {}tall!tt!141!
!li\EFF {}tint!tt!141!
!truncate!tt!141!
!li\EFF {}tint!tt!142!
!li\EFF {}tpol!tt!142!
!li\EFF {}tpol!tt!142!
!norm!tt!142!
!gnorm!tt!142!
!numerator!tt!142!
!numerator!tt!142!
!numer!tt!142!
!Q_remove_denom!tt!142!
!oo!tt!142!
!mkoo!tt!143!
!padicprec!tt!143!
!+oo!tt!143!
!gppadicprec!tt!143!
!padicprec!tt!143!
!LONG_MAX!tt!143!
!precision!tt!143!
!precision0!tt!143!
!gprec!tt!143!
!precision!tt!143!
!random!tt!143!
!ellordinate!tt!144!
!getrand!tt!144!
!setrand!tt!144!
!genrand!tt!144!
!ellrandom!tt!144!
!\EFF {}\EFF {}random!tt!144!
!real!tt!144!
!greal!tt!145!
!round!tt!145!
!round0!tt!145!
!grndtoi!tt!145!
!ground!tt!145!
!serchop!tt!145!
!serchop!tt!145!
!serprec!tt!145!
!+oo!tt!145!
!gpserprec!tt!145!
!serprec!tt!145!
!LONG_MAX!tt!145!
!simpli\EFF {}y!tt!145!
!simpli\EFF {}y!tt!146!
!sizebyte!tt!146!
!gsizebyte!tt!146!
!gsizeword!tt!146!
!sizedigit!tt!146!
!sizedigit!tt!146!
!truncate!tt!146!
!trunc0!tt!147!
!gtrunc!tt!147!
!gcvtoi!tt!147!
!valuation!tt!147!
!gpvaluation!tt!147!
!gvaluation!tt!147!
!LONG_MAX!tt!147!
!varhigher!tt!147!
!varlower!tt!147!
!varhigher!tt!148!
!variable!tt!148!
!varhigher!tt!148!
!gpolvar!tt!149!
!gvar!tt!149!
!gvar!tt!149!
!variables!tt!149!
!variables_vec!tt!149!
!variables_vecsmall!tt!149!
!varlower!tt!149!
!varhigher!tt!149!
!varlower!tt!150!
!binomial!tt!151!
!binomial coe\EFF {}\EFF {}icient!rm!151!
!binomial0!tt!151!
!\EFF {}ibonacci!tt!151!
!\EFF {}ibo!tt!151!
!hammingweight!tt!151!
!hammingweight!tt!151!
!numbpart!tt!151!
!partitions!tt!151!
!numbpart!tt!152!
!numtoperm!tt!152!
!permtonum!tt!152!
!numtoperm!tt!152!
!partitions!tt!152!
!numbpart!tt!152!
!partitions!tt!152!
!permorder!tt!152!
!permorder!tt!153!
!permsign!tt!153!
!permsign!tt!153!
!permtonum!tt!153!
!numtoperm!tt!153!
!permtonum!tt!153!
!stirling!tt!153!
!Stirling number!rm!153!
!stirling!tt!154!
!stirling1!tt!154!
!stirling2!tt!154!
!Euler totient \EFF {}unction!rm!154!
!Moebius!rm!154!
!Shanks SQUFOF!rm!154!
!Pollard Rho!rm!154!
!ECM!rm!154!
!MPQS!rm!154!
!moebius!tt!154!
!issquare\EFF {}ree!tt!154!
!SNF generators!it!155!
!character!it!155!
!Conrey generators!it!155!
!Conrey logarithm!it!155!
!Conrey character!it!156!
!addprimes!tt!156!
!\EFF {}actor_proven!tt!156!
!addprimes!tt!156!
!bestappr!tt!156!
!bestappr!tt!157!
!bestapprPade!tt!157!
!bestapprPade!tt!158!
!bezout!tt!158!
!gcdext0!tt!158!
!bigomega!tt!158!
!bigomega!tt!158!
!charconj!tt!158!
!charconj0!tt!158!
!charconj!tt!158!
!chardiv!tt!158!
!chardiv0!tt!159!
!chardiv!tt!159!
!chareval!tt!159!
!chareval!tt!160!
!chargalois!tt!160!
!chargalois!tt!160!
!charker!tt!160!
!charker0!tt!161!
!charker!tt!161!
!charmul!tt!161!
!charmul0!tt!162!
!charmul!tt!162!
!charorder!tt!162!
!charorder0!tt!162!
!charorder!tt!162!
!charpow!tt!162!
!charpow0!tt!163!
!charpow!tt!163!
!chinese!tt!163!
!chinese!tt!164!
!chinese1!tt!164!
!content!tt!164!
!content0!tt!165!
!cont\EFF {}rac!tt!165!
!continued \EFF {}raction!rm!165!
!Engel expansion!rm!165!
!Egyptian \EFF {}raction!rm!165!
!cont\EFF {}rac0!tt!166!
!gboundc\EFF {}!tt!166!
!gc\EFF {}!tt!166!
!gc\EFF {}2!tt!166!
!cont\EFF {}racpnqn!tt!166!
!cont\EFF {}racpnqn!tt!166!
!pnqn!tt!166!
!core!tt!166!
!core0!tt!166!
!core!tt!166!
!core2!tt!166!
!coredisc!tt!167!
!quaddisc!tt!167!
!coredisc0!tt!167!
!coredisc!tt!167!
!coredisc2!tt!167!
!dirdiv!tt!167!
!Dirichlet series!rm!167!
!dirdiv!tt!167!
!direuler!tt!167!
!Dirichlet series!rm!167!
!Euler product!rm!167!
!sigma!tt!167!
!direuler!tt!167!
!dirmul!tt!167!
!Dirichlet series!rm!167!
!dirmul!tt!168!
!divisors!tt!168!
!\EFF {}actor!tt!168!
!divisors0!tt!168!
!divisors!tt!168!
!divisors_\EFF {}actored!tt!168!
!divisorslenstra!tt!168!
!divisorslenstra!tt!168!
!eulerphi!tt!168!
!Euler totient \EFF {}unction!rm!168!
!eulerphi!tt!169!
!\EFF {}actor!tt!169!
!\EFF {}actorint!tt!169!
!\EFF {}actor_proven!tt!169!
!\EFF {}actor_proven!tt!170!
!\EFF {}actormod!tt!171!
!\EFF {}actor\EFF {}\EFF {}!tt!171!
!n\EFF {}\EFF {}actor!tt!171!
!\EFF {}actor0!tt!174!
!\EFF {}actor!tt!174!
!bound\EFF {}act!tt!174!
!\EFF {}actorback!tt!174!
!\EFF {}actorback2!tt!174!
!\EFF {}actorback!tt!174!
!\EFF {}actorcantor!tt!174!
!\EFF {}actmod!tt!174!
!\EFF {}actor\EFF {}\EFF {}!tt!174!
!\EFF {}actor\EFF {}\EFF {}!tt!174!
!\EFF {}actorial!tt!174!
!mp\EFF {}actr!tt!174!
!mp\EFF {}act!tt!174!
!\EFF {}actorint!tt!174!
!Shanks SQUFOF!rm!174!
!Pollard Rho!rm!174!
!Lenstra!rm!174!
!ECM!rm!174!
!MPQS!rm!174!
!LiDIA!rm!174!
!ispseudoprime!tt!175!
!\EFF {}actor_proven!tt!175!
!addprimes!tt!175!
!debug!tt!175!
!\EFF {}actorint!tt!175!
!\EFF {}actormod!tt!175!
!\EFF {}actormod0!tt!176!
!\EFF {}actormodDDF!tt!176!
!\EFF {}actormodDDF!tt!177!
!\EFF {}actormodSQF!tt!177!
!\EFF {}actormodSQF!tt!178!
!\EFF {}\EFF {}compomap!tt!178!
!\EFF {}\EFF {}compomap!tt!178!
!\EFF {}\EFF {}embed!tt!178!
!\EFF {}\EFF {}embed!tt!178!
!\EFF {}\EFF {}extend!tt!178!
!\EFF {}\EFF {}extend!tt!178!
!\EFF {}\EFF {}\EFF {}robenius!tt!179!
!\EFF {}\EFF {}\EFF {}robenius!tt!179!
!\EFF {}\EFF {}gen!tt!179!
!\EFF {}\EFF {}gen!tt!179!
!p_to_GEN!tt!179!
!\EFF {}\EFF {}init!tt!180!
!\EFF {}\EFF {}gen!tt!180!
!\EFF {}\EFF {}init!tt!180!
!\EFF {}\EFF {}invmap!tt!180!
!\EFF {}\EFF {}invmap!tt!180!
!\EFF {}\EFF {}log!tt!180!
!\EFF {}\EFF {}primroot!tt!180!
!znlog!tt!180!
!\EFF {}\EFF {}log!tt!181!
!\EFF {}\EFF {}map!tt!181!
!\EFF {}\EFF {}map!tt!181!
!\EFF {}\EFF {}nbirred!tt!181!
!\EFF {}\EFF {}nbirred0!tt!181!
!\EFF {}\EFF {}nbirred!tt!181!
!\EFF {}\EFF {}sumnbirred!tt!181!
!\EFF {}\EFF {}order!tt!181!
!\EFF {}\EFF {}order!tt!181!
!\EFF {}\EFF {}primroot!tt!181!
!\EFF {}\EFF {}log!tt!181!
!\EFF {}\EFF {}order!tt!181!
!\EFF {}\EFF {}primroot!tt!182!
!gcd!tt!182!
!gcdext!tt!182!
!Euclid!rm!182!
!subresultant algorithm!rm!182!
!polresultant!tt!183!
!gcdext!tt!183!
!ggcd0!tt!183!
!ggcd!tt!183!
!content!tt!183!
!gcdext!tt!183!
!extended gcd!rm!183!
!Bezout relation!rm!183!
!gcdext0!tt!183!
!hilbert!tt!183!
!Hilbert symbol!rm!183!
!hilbert!tt!183!
!is\EFF {}undamental!tt!183!
!is\EFF {}undamental!tt!184!
!ispolygonal!tt!184!
!ispolygonal!tt!184!
!ispower!tt!184!
!issquare!tt!184!
!ispower!tt!184!
!gisanypower!tt!184!
!ispower\EFF {}ul!tt!184!
!ispower\EFF {}ul!tt!184!
!isprime!tt!184!
!ispseudoprime!tt!184!
!primecert!tt!184!
!ispseudoprime!tt!185!
!gisprime!tt!185!
!isprimepower!tt!185!
!isprimepower!tt!185!
!ispseudoprime!tt!185!
!isprime!tt!185!
!gispseudoprime!tt!185!
!ispseudoprimepower!tt!185!
!ispseudoprime!tt!185!
!ispseudoprimepower!tt!186!
!issquare!tt!186!
!issquareall!tt!186!
!issquare!tt!186!
!gissquare!tt!186!
!gissquareall!tt!186!
!issquare\EFF {}ree!tt!186!
!issquare\EFF {}ree!tt!187!
!istotient!tt!187!
!istotient!tt!187!
!kronecker!tt!187!
!Kronecker symbol!rm!187!
!Legendre symbol!rm!187!
!kronecker!tt!188!
!lcm!tt!188!
!glcm0!tt!188!
!logint!tt!188!
!logint0!tt!189!
!moebius!tt!189!
!Moebius!rm!189!
!moebius!tt!189!
!nextprime!tt!189!
!ispseudoprime!tt!189!
!nextprime!tt!189!
!numdiv!tt!189!
!numdiv!tt!189!
!omega!tt!189!
!omega!tt!189!
!precprime!tt!189!
!ispseudoprime!tt!189!
!precprime!tt!189!
!prime!tt!189!
!prime!tt!189!
!primecert!tt!189!
!primecertisvalid!tt!189!
!primecert!tt!191!
!primecertexport!tt!191!
!primecert!tt!191!
!primecertexport!tt!192!
!primecertisvalid!tt!192!
!primecertisvalid!tt!192!
!primepi!tt!192!
!primepi!tt!192!
!primes!tt!193!
!primes0!tt!193!
!q\EFF {}bclassno!tt!193!
!quadclassunit!tt!193!
!quadclassunit!tt!193!
!Shanks!rm!193!
!q\EFF {}bclassno0!tt!194!
!q\EFF {}bcompraw!tt!194!
!composition!rm!194!
!reduction!rm!194!
!q\EFF {}bcompraw!tt!194!
!q\EFF {}bhclassno!tt!194!
!Hurwitz class number!rm!194!
!hclassno!tt!194!
!q\EFF {}bnucomp!tt!194!
!composition!rm!194!
!Shanks!rm!194!
!nucomp!tt!195!
!nudupl!tt!195!
!q\EFF {}bnupow!tt!195!
!Shanks!rm!195!
!nupow!tt!195!
!q\EFF {}bpowraw!tt!195!
!reduction!rm!195!
!q\EFF {}bpowraw!tt!195!
!q\EFF {}bprime\EFF {}orm!tt!195!
!prime\EFF {}orm!tt!195!
!q\EFF {}bred!tt!195!
!reduction!rm!195!
!Shanks!rm!195!
!q\EFF {}bred0!tt!195!
!redimag!tt!195!
!redreal!tt!195!
!rhoreal!tt!195!
!redrealnod!tt!195!
!rhorealnod!tt!195!
!q\EFF {}bredsl2!tt!195!
!q\EFF {}bredsl2!tt!196!
!q\EFF {}bsolve!tt!196!
!bn\EFF {}isprincipal!tt!196!
!q\EFF {}bsolve!tt!196!
!quadclassunit!tt!196!
!Buchmann-McCurley!rm!196!
!q\EFF {}bclassno!tt!196!
!quadregula!tt!196!
!bn\EFF {}init!tt!196!
!bn\EFF {}narrow!tt!196!
!quadclassunit0!tt!196!
!Buchquad!tt!196!
!quadclassno!tt!196!
!q\EFF {}bclassno!tt!196!
!quaddisc!tt!197!
!quaddisc!tt!197!
!quadgen!tt!197!
!omega!rm!197!
!quadgen0!tt!197!
!quadgen!tt!197!
!quadhilbert!tt!197!
!Hilbert class \EFF {}ield!rm!197!
!Schertz!rm!197!
!Stark units!rm!197!
!quadhilbert!tt!197!
!quadpoly!tt!197!
!quadpoly0!tt!198!
!quadray!tt!198!
!bnrstark!tt!198!
!quadray!tt!198!
!quadregulator!tt!198!
!quadregulator!tt!198!
!quadunit!tt!198!
!\EFF {}undamental units!rm!198!
!quadunit0!tt!198!
!quadunit!tt!198!
!ramanujantau!tt!198!
!quadclassunit!tt!198!
!ramanujantau!tt!199!
!randomprime!tt!199!
!ispseudoprime!tt!199!
!randomprime!tt!199!
!removeprimes!tt!199!
!removeprimes!tt!199!
!sigma!tt!199!
!sumdivk!tt!199!
!sumdiv!tt!199!
!sqrtint!tt!199!
!sqrtint!tt!199!
!sqrtnint!tt!199!
!sqrtint!tt!199!
!sqrtnint!tt!199!
!sumdedekind!tt!199!
!Dedekind sum!rm!199!
!sumdedekind!tt!199!
!sumdigits!tt!199!
!hammingweight!tt!200!
!sumdigits0!tt!200!
!sumdigits!tt!200!
!znchar!tt!200!
!znchar!tt!200!
!zncharconductor!tt!200!
!zncharconductor!tt!201!
!znchardecompose!tt!201!
!znchardecompose!tt!201!
!znchargauss!tt!201!
!znchargauss!tt!202!
!zncharinduce!tt!202!
!zncharinduce!tt!203!
!zncharisodd!tt!203!
!zncharisodd!tt!203!
!znchartokronecker!tt!203!
!znchartokronecker!tt!203!
!znchartoprimitive!tt!203!
!znchartoprimitive!tt!204!
!znconreychar!tt!204!
!znconreylog!tt!204!
!znconreychar!tt!205!
!znconreyconductor!tt!205!
!znconreyconductor!tt!206!
!znconreyexp!tt!206!
!znconreyexp!tt!206!
!znconreylog!tt!206!
!znconreyexp!tt!207!
!znconreylog!tt!208!
!zncoppersmith!tt!208!
!Coppersmith!rm!208!
!LLL!rm!208!
!polrootsmod!tt!208!
!polrootspadic!tt!208!
!zncoppersmith!tt!209!
!znlog!tt!209!
!znstar!tt!209!
!ideallog!tt!209!
!znlog0!tt!210!
!znlog!tt!210!
!znorder!tt!210!
!znorder!tt!210!
!order!tt!210!
!znprimroot!tt!210!
!znprimroot!tt!210!
!znstar!tt!210!
!znlog!tt!210!
!znstar0!tt!211!
!O!tt!211!
!ggrando!tt!211!
!zeropadic!tt!211!
!zeroser!tt!211!
!bezoutres!tt!211!
!polresultantext0!tt!211!
!deriv!tt!211!
!deriv!tt!212!
!di\EFF {}\EFF {}op!tt!212!
!di\EFF {}\EFF {}op0!tt!212!
!di\EFF {}\EFF {}op!tt!212!
!eval!tt!212!
!geval!tt!213!
!\EFF {}actorpadic!tt!213!
!round 4!rm!214!
!Zassenhaus!rm!214!
!truncate!tt!214!
!\EFF {}actorpadic!tt!214!
!int\EFF {}ormal!tt!214!
!\EFF {}ormal integration!rm!214!
!integ!tt!214!
!padicappr!tt!214!
!padicappr!tt!215!
!Zp_appr!tt!215!
!padic\EFF {}ields!tt!215!
!padic\EFF {}ields0!tt!215!
!padic\EFF {}ields!tt!215!
!polchebyshev!tt!215!
!Chebyshev!rm!215!
!polchebyshev_eval!tt!215!
!polchebyshev!tt!215!
!polchebyshev1!tt!215!
!polchebyshev2!tt!215!
!polclass!tt!215!
!polclass!tt!217!
!polcoe\EFF {}!tt!217!
!polcoe\EFF {}!tt!217!
!polcoe\EFF {}\EFF {}!tt!217!
!polcoe\EFF {}\EFF {}0!tt!217!
!polcyclo!tt!217!
!polcyclo_eval!tt!217!
!polcyclo!tt!217!
!polcyclo\EFF {}actors!tt!217!
!polcyclo\EFF {}actors!tt!218!
!poldegree!tt!218!
!gppoldegree!tt!218!
!poldegree!tt!218!
!-LONG_MAX!tt!218!
!poldisc!tt!218!
!subresultant algorithm!rm!218!
!poldisc0!tt!218!
!poldisc\EFF {}actors!tt!218!
!poldisc\EFF {}actors!tt!219!
!poldiscreduced!tt!219!
!reduceddiscsmith!tt!219!
!polgrae\EFF {}\EFF {}e!tt!219!
!Grae\EFF {}\EFF {}e!rm!219!
!polgrae\EFF {}\EFF {}e!tt!219!
!polhenselli\EFF {}t!tt!219!
!polhenselli\EFF {}t!tt!219!
!polhermite!tt!219!
!Hermite!rm!219!
!polhermite_eval!tt!219!
!polhermite!tt!219!
!polinterpolate!tt!219!
!interpolating polynomial!rm!219!
!polint!tt!220!
!poliscyclo!tt!220!
!poliscyclo!tt!220!
!poliscycloprod!tt!220!
!poliscycloprod!tt!220!
!polisirreducible!tt!220!
!isirreducible!tt!220!
!pollead!tt!220!
!pollead!tt!220!
!pollegendre!tt!220!
!Legendre polynomial!rm!220!
!pollegendre_eval!tt!221!
!pollegendre!tt!221!
!polmodular!tt!221!
!polmodular!tt!221!
!polrecip!tt!221!
!polrecip!tt!221!
!polresultant!tt!221!
!polresultantext!tt!221!
!subresultant algorithm!rm!221!
!polresultant0!tt!222!
!polresultantext!tt!222!
!polresultantext0!tt!222!
!polresultantext!tt!222!
!polroots!tt!222!
!Sch\"onage!rm!222!
!roots!tt!222!
!polrootsbound!tt!223!
!polrootsbound!tt!223!
!polroots\EFF {}\EFF {}!tt!223!
!polroots\EFF {}\EFF {}!tt!223!
!polrootsmod!tt!223!
!polrootsmod!tt!224!
!polrootspadic!tt!224!
!truncate!tt!224!
!rootpadic!tt!224!
!polrootsreal!tt!224!
!realroots!tt!225!
!polsturm!tt!225!
!polrootsreal!tt!225!
!RgX_sturmpart!tt!225!
!sturm!tt!225!
!sturmpart!tt!225!
!polsubcyclo!tt!226!
!galoissubcyclo!tt!226!
!polsubcyclo!tt!226!
!polsylvestermatrix!tt!226!
!sylvestermatrix!tt!226!
!polsym!tt!226!
!symmetric powers!rm!226!
!polsym!tt!226!
!poltchebi!tt!226!
!polchebyshev1!tt!226!
!polzagier!tt!226!
!polzag!tt!226!
!serconvol!tt!226!
!Hadamard product!rm!226!
!convol!tt!226!
!serlaplace!tt!226!
!laplace!tt!226!
!serreverse!tt!226!
!serreverse!tt!227!
!subst!tt!227!
!gsubst!tt!227!
!substpol!tt!227!
!gsubstpol!tt!227!
!gde\EFF {}late!tt!227!
!substvec!tt!227!
!gsubstvec!tt!228!
!sum\EFF {}ormal!tt!228!
!\EFF {}ormal sum!rm!228!
!sum\EFF {}ormal!tt!228!
!taylor!tt!228!
!Ser!tt!228!
!tayl!tt!228!
!thue!tt!228!
!thueinit!tt!228!
!thue!tt!229!
!thueinit!tt!230!
!thue!tt!230!
!GRH!rm!230!
!thue!tt!230!
!thueinit!tt!231!
!mathn\EFF {}!tt!231!
!q\EFF {}lll!tt!231!
!algdep!tt!231!
!algebraic dependence!rm!231!
!subst!tt!231!
!polroots!tt!231!
!polrootspadic!tt!231!
!lindep!tt!231!
!algdep0!tt!232!
!algdep!tt!232!
!bestapprn\EFF {}!tt!232!
!bestapprn\EFF {}!tt!232!
!charpoly!tt!232!
!characteristic polynomial!rm!232!
!charpoly0!tt!233!
!charpoly!tt!233!
!caract!tt!233!
!carhess!tt!233!
!carberkowitz!tt!233!
!caradj!tt!233!
!matadjoint!tt!233!
!concat!tt!233!
!matconcat!tt!233!
!Mat!tt!234!
!matconcat!tt!234!
!gconcat!tt!235!
!gconcat1!tt!235!
!\EFF {}orq\EFF {}vec!tt!235!
!\EFF {}orq\EFF {}vec0!tt!235!
!\EFF {}orq\EFF {}vec!tt!235!
!lindep!tt!235!
!linear dependence!rm!235!
!lindep0!tt!236!
!matadjoint!tt!236!
!adjoint matrix!rm!236!
!matadjoint0!tt!236!
!adj!tt!236!
!adjsa\EFF {}e!tt!236!
!matcompanion!tt!236!
!matcompanion!tt!236!
!matconcat!tt!236!
!matconcat!tt!238!
!matdet!tt!238!
!det0!tt!238!
!det!tt!238!
!det2!tt!238!
!ZM_det!tt!238!
!matdetint!tt!238!
!detint!tt!238!
!matdetmod!tt!238!
!matdetmod!tt!239!
!matdiagonal!tt!239!
!matconcat!tt!239!
!diagonal!tt!239!
!mateigen!tt!239!
!q\EFF {}jacobi!tt!240!
!mateigen!tt!240!
!eigen!tt!240!
!mat\EFF {}robenius!tt!240!
!mat\EFF {}robenius!tt!240!
!mathess!tt!240!
!hess!tt!240!
!mathilbert!tt!240!
!Hilbert matrix!rm!240!
!mathilbert!tt!240!
!mathn\EFF {}!tt!240!
!Hermite normal \EFF {}orm!rm!240!
!LLL!rm!240!
!Mat!tt!241!
!mathn\EFF {}0!tt!242!
!hn\EFF {}!tt!242!
!hn\EFF {}all!tt!242!
!mathn\EFF {}mod!tt!242!
!Hermite normal \EFF {}orm!rm!242!
!hn\EFF {}mod!tt!242!
!mathn\EFF {}modid!tt!242!
!Hermite normal \EFF {}orm!rm!242!
!hn\EFF {}modid!tt!242!
!mathouseholder!tt!242!
!Householder trans\EFF {}orm!rm!242!
!mathouseholder!tt!243!
!matid!tt!243!
!matid!tt!243!
!matimage!tt!243!
!matimage0!tt!243!
!image!tt!243!
!matimagecompl!tt!243!
!imagecompl!tt!243!
!matimagemod!tt!243!
!matimagemod!tt!244!
!matindexrank!tt!244!
!vecextract!tt!244!
!indexrank!tt!244!
!matintersect!tt!244!
!idealintersect!tt!244!
!n\EFF {}hn\EFF {}!tt!244!
!intersect!tt!244!
!matinverseimage!tt!244!
!inverseimage!tt!244!
!matinvmod!tt!244!
!matinvmod!tt!245!
!matisdiagonal!tt!245!
!isdiagonal!tt!245!
!matker!tt!245!
!matker0!tt!245!
!ker!tt!245!
!ZM_ker!tt!245!
!matkerint!tt!245!
!LLL!rm!245!
!matkerint0!tt!245!
!kerint!tt!245!
!Q_primpart!tt!245!
!matkermod!tt!245!
!matkermod!tt!246!
!matmuldiagonal!tt!246!
!matmuldiagonal!tt!246!
!matmultodiagonal!tt!246!
!matmultodiagonal!tt!246!
!matpascal!tt!246!
!Pascal triangle!rm!246!
!matqpascal!tt!246!
!matpascal!tt!246!
!matpermanent!tt!246!
!matpermanent!tt!246!
!matqr!tt!246!
!QR-decomposition!rm!246!
!Householder trans\EFF {}orm!rm!246!
!matqr!tt!247!
!matrank!tt!247!
!rank!tt!247!
!matrix!tt!247!
!matrixqz!tt!247!
!matrixqz0!tt!248!
!matsize!tt!248!
!matsize!tt!248!
!matsn\EFF {}!tt!248!
!elementary divisors!rm!248!
!Smith normal \EFF {}orm!rm!248!
!matsn\EFF {}0!tt!248!
!matsolve!tt!248!
!gauss!tt!249!
!ZM_gauss!tt!249!
!matsolvemod!tt!249!
!matsolvemod!tt!249!
!gaussmodulo!tt!249!
!gaussmodulo2!tt!249!
!matsupplement!tt!249!
!suppl!tt!249!
!mattranspose!tt!249!
!gtrans!tt!249!
!minpoly!tt!250!
!minimal polynomial!rm!250!
!minpoly!tt!250!
!norml2!tt!250!
!gnorml2!tt!250!
!normlp!tt!250!
!gnormlp!tt!250!
!q\EFF {}auto!tt!251!
!q\EFF {}auto0!tt!251!
!q\EFF {}auto!tt!251!
!q\EFF {}autoexport!tt!251!
!q\EFF {}auto!tt!251!
!q\EFF {}autoexport!tt!251!
!q\EFF {}bil!tt!251!
!q\EFF {}bil!tt!251!
!q\EFF {}eval!tt!251!
!q\EFF {}eval0!tt!253!
!q\EFF {}gaussred!tt!253!
!decomposition into squares!rm!253!
!q\EFF {}gaussred!tt!253!
!q\EFF {}gaussred_positive!tt!253!
!q\EFF {}isom!tt!253!
!q\EFF {}isom0!tt!254!
!q\EFF {}isom!tt!254!
!q\EFF {}isominit!tt!254!
!q\EFF {}isominit0!tt!254!
!q\EFF {}isominit!tt!254!
!q\EFF {}jacobi!tt!254!
!jacobi!tt!255!
!q\EFF {}lll!tt!255!
!LLL!rm!255!
!q\EFF {}lll0!tt!255!
!lll!tt!255!
!lllint!tt!255!
!lllkerim!tt!255!
!q\EFF {}lllgram!tt!255!
!q\EFF {}lll!tt!255!
!q\EFF {}lllgram0!tt!256!
!lllgram!tt!256!
!lllgramint!tt!256!
!lllgramkerim!tt!256!
!q\EFF {}minim!tt!256!
!Leech lattice!rm!257!
!minimal vector!rm!257!
!q\EFF {}minim0!tt!257!
!minim!tt!257!
!minim2!tt!257!
!minim_raw!tt!257!
!q\EFF {}norm!tt!257!
!q\EFF {}norm!tt!257!
!q\EFF {}orbits!tt!257!
!q\EFF {}orbits!tt!257!
!q\EFF {}param!tt!257!
!q\EFF {}param!tt!258!
!q\EFF {}per\EFF {}ection!tt!258!
!per\EFF {}!tt!258!
!q\EFF {}rep!tt!258!
!q\EFF {}minim!tt!258!
!q\EFF {}rep0!tt!258!
!q\EFF {}sign!tt!258!
!q\EFF {}sign!tt!258!
!q\EFF {}solve!tt!258!
!q\EFF {}solve!tt!259!
!seralgdep!tt!259!
!algebraic dependence!rm!259!
!seralgdep!tt!259!
!setbinop!tt!259!
!setbinop!tt!259!
!setintersect!tt!260!
!setintersect!tt!260!
!setisset!tt!260!
!setisset!tt!260!
!setminus!tt!260!
!setminus!tt!260!
!setsearch!tt!260!
!cmp!tt!260!
!listsort!tt!260!
!setsearch!tt!261!
!setunion!tt!261!
!setunion!tt!261!
!trace!tt!261!
!gtrace!tt!261!
!vecextract!tt!261!
!extract0!tt!262!
!vecprod!tt!262!
!vecprod!tt!262!
!vecsearch!tt!262!
!vecsort!tt!262!
!vecsearch!tt!263!
!vecsort!tt!263!
!vecsearch!tt!264!
!mapisde\EFF {}ined!tt!264!
!vecsort0!tt!264!
!vecsum!tt!264!
!vecsum!tt!264!
!vector!tt!264!
!vectorsmall!tt!265!
!vectorv!tt!265!
!vector!tt!265!
!precision!rm!265!
!realprecision!tt!265!
!realbitprecision!tt!265!
!seriesprecision!tt!266!
!powering!rm!267!
!gpow!tt!267!
!Catalan!tt!267!
!mpcatalan!tt!267!
!Euler!tt!267!
!mpeuler!tt!267!
!I!tt!267!
!gen_I!tt!267!
!Pi!tt!267!
!mppi!tt!267!
!abs!tt!267!
!gabs!tt!267!
!acos!tt!267!
!gacos!tt!267!
!acosh!tt!267!
!gacosh!tt!267!
!agm!tt!268!
!agm!tt!268!
!arg!tt!268!
!garg!tt!268!
!asin!tt!268!
!gasin!tt!268!
!asinh!tt!268!
!gasinh!tt!268!
!atan!tt!268!
!gatan!tt!268!
!atanh!tt!268!
!gatanh!tt!268!
!bern\EFF {}rac!tt!268!
!Bernoulli numbers!rm!268!
!bern\EFF {}rac!tt!268!
!bernpol!tt!268!
!Bernoulli polynomial!rm!268!
!bernpol!tt!268!
!bernreal!tt!268!
!Bernoulli numbers!rm!268!
!bernreal!tt!268!
!bernvec!tt!269!
!bernvec!tt!269!
!besselh1!tt!269!
!hbessel1!tt!269!
!besselh2!tt!269!
!hbessel2!tt!269!
!besseli!tt!269!
!ibessel!tt!269!
!besselj!tt!269!
!jbessel!tt!269!
!besseljh!tt!269!
!jbesselh!tt!269!
!besselk!tt!269!
!kbessel!tt!269!
!besseln!tt!269!
!nbessel!tt!269!
!cos!tt!269!
!gcos!tt!269!
!cosh!tt!269!
!gcosh!tt!269!
!cotan!tt!269!
!gcotan!tt!269!
!cotanh!tt!269!
!gcotanh!tt!269!
!dilog!tt!269!
!dilog!tt!269!
!eint1!tt!270!
!veceint1!tt!270!
!eint1!tt!270!
!er\EFF {}c!tt!270!
!ger\EFF {}c!tt!270!
!eta!tt!270!
!Dedekind!rm!270!
!eta0!tt!270!
!trueeta!tt!270!
!exp!tt!270!
!gexp!tt!270!
!Qp_exp!tt!270!
!expm1!tt!270!
!gexpm1!tt!271!
!gamma!tt!271!
!gamma-\EFF {}unction!rm!271!
!ggamma!tt!271!
!Qp_gamma!tt!271!
!gammah!tt!271!
!ggammah!tt!271!
!gammamellininv!tt!271!
!gammamellininvinit!tt!271!
!gammamellininv!tt!272!
!gammamellininvasymp!tt!272!
!gammamellininvasymp!tt!272!
!gammamellininvinit!tt!272!
!gammamellininv!tt!272!
!gammamellininvinit!tt!272!
!hyperu!tt!272!
!hyperu!tt!273!
!incgam!tt!273!
!incgam0!tt!273!
!incgam!tt!273!
!incgamc!tt!273!
!incgamc!tt!273!
!lambertw!tt!273!
!glambertW!tt!273!
!lngamma!tt!273!
!glngamma!tt!274!
!log!tt!274!
!glog!tt!274!
!Qp_log!tt!274!
!log1p!tt!274!
!glog1p!tt!275!
!polylog!tt!275!
!polylog0!tt!275!
!gpolylog!tt!275!
!psi!tt!275!
!gpsi!tt!275!
!sin!tt!275!
!gsin!tt!275!
!sinc!tt!275!
!gsinc!tt!275!
!sinh!tt!275!
!gsinh!tt!275!
!sqr!tt!276!
!gsqr!tt!276!
!sqrt!tt!276!
!gsqrt!tt!276!
!Qp_sqrt!tt!276!
!sqrtn!tt!276!
!gsqrtn!tt!277!
!Qp_sqrtn!tt!277!
!tan!tt!277!
!gtan!tt!277!
!tanh!tt!277!
!gtanh!tt!277!
!teichmuller!tt!277!
!teichmuller!tt!278!
!teich!tt!278!
!teichmullerinit!tt!278!
!theta!tt!278!
!theta!tt!278!
!thetanullk!tt!278!
!thetanullk!tt!278!
!vecthetanullk!tt!278!
!vecthetanullk_tau!tt!278!
!weber!tt!279!
!weber0!tt!279!
!weber\EFF {}!tt!279!
!weber\EFF {}1!tt!279!
!weber\EFF {}2!tt!279!
!zeta!tt!279!
!Riemann zeta-\EFF {}unction!rm!279!
!Euler-Maclaurin!rm!279!
!Bernoulli numbers!rm!279!
!gzeta!tt!279!
!zetahurwitz!tt!279!
!zetahurwitz!tt!280!
!zetamult!tt!280!
!zetamult0!tt!281!
!zetamult!tt!281!
!zetamultall!tt!281!
!zetamultall!tt!281!
!zetamultconvert!tt!281!
!zetamultconvert!tt!281!
!zetamultinit!tt!281!
!zetamultinit!tt!282!
!numerical integration!rm!282!
!intnum!tt!282!
!asympnum!tt!283!
!asympnum!tt!283!
!asympnum0!tt!283!
!cont\EFF {}raceval!tt!284!
!cont\EFF {}raceval!tt!284!
!cont\EFF {}racinit!tt!284!
!cont\EFF {}racinit!tt!284!
!derivnum!tt!284!
!deriv\EFF {}unk!tt!284!
!deriv\EFF {}un!tt!284!
!derivnumk!tt!284!
!derivnum!tt!284!
!intcirc!tt!285!
!intcirc!tt!285!
!int\EFF {}uncinit!tt!285!
!int\EFF {}uncinit!tt!286!
!intnum!tt!287!
!intnuminit!tt!287!
!sumalt!tt!291!
!intnum!tt!291!
!intnumgauss!tt!291!
!intnumgauss0!tt!292!
!intnumgaussinit!tt!292!
!intnumgauss!tt!292!
!intnumgaussinit!tt!292!
!intnuminit!tt!293!
!int\EFF {}uncinit!tt!293!
!intnuminit!tt!293!
!intnumromb!tt!293!
!intnum!tt!293!
!realprecision!tt!294!
!realbitprecision!tt!294!
!in\EFF {}inity!rm!294!
!intnumromb_bitprec!tt!294!
!intnumromb!tt!294!
!laurentseries!tt!294!
!derivnum!tt!294!
!laurentseries!tt!295!
!limitnum!tt!295!
!limitnum!tt!296!
!limitnum0!tt!296!
!prod!tt!296!
!eta!tt!296!
!produit!tt!296!
!prodeuler!tt!296!
!Euler product!rm!296!
!prodeuler!tt!297!
!prodeulerrat!tt!297!
!prodeulerrat!tt!297!
!prodin\EFF {}!tt!297!
!in\EFF {}inite product!rm!297!
!prodin\EFF {}!tt!297!
!prodin\EFF {}1!tt!297!
!prodnumrat!tt!297!
!prodnumrat!tt!297!
!solve!tt!297!
!zbrent!tt!297!
!solvestep!tt!297!
!solvestep!tt!298!
!sum!tt!298!
!sumalt!tt!298!
!alternating series!rm!298!
!polzagier!tt!298!
!sumin\EFF {}!tt!299!
!sumalt!tt!299!
!sumalt2!tt!299!
!sumdiv!tt!299!
!sumdivmult!tt!299!
!sumdivmult!tt!299!
!sumeulerrat!tt!299!
!sumeulerrat!tt!299!
!sumin\EFF {}!tt!299!
!in\EFF {}inite sum!rm!299!
!sumalt!tt!299!
!sumpos!tt!299!
!sumin\EFF {}!tt!300!
!sumnum!tt!300!
!sumnummonien!tt!300!
!sumnum!tt!303!
!sumnumap!tt!303!
!sumnummonien!tt!303!
!sumnumap!tt!305!
!sumnumapinit!tt!305!
!intnum!tt!305!
!sumnumapinit!tt!306!
!sumnuminit!tt!306!
!intnum!tt!306!
!sumnuminit!tt!306!
!sumnumlagrange!tt!306!
!sumnumlagrange!tt!307!
!sumnumlagrangeinit!tt!307!
!sumnumlagrangeinit!tt!308!
!sumnummonien!tt!308!
!sumnummonien0!tt!309!
!sumnummonieninit!tt!309!
!sumnummonieninit!tt!310!
!sumnumrat!tt!310!
!sumnumrat!tt!311!
!sumpos!tt!311!
!sumalt!tt!311!
!sumalt!tt!311!
!sumalt!tt!311!
!sumpos!tt!311!
!sumpos2!tt!311!
!n\EFF {}!it!311!
!n\EFF {}init!tt!311!
!bn\EFF {}!it!311!
!bn\EFF {}init!tt!311!
!bnr!it!311!
!algebraic number!it!312!
!ideal!it!312!
!ideal (extended)!rm!312!
!idealred!tt!312!
!\EFF {}amat!it!312!
!n\EFF {}\EFF {}actorback!tt!312!
!ideallog!tt!312!
!character!it!312!
!subgroup!it!312!
!rn\EFF {}!it!313!
!ideal list!it!313!
!pseudo-matrix!it!313!
!integral pseudo-matrix!it!313!
!projective module!it!313!
!pseudo-basis!it!313!
!Hermite normal \EFF {}orm!rm!313!
!modulus!it!313!
!bid!it!314!
!bnrinit!tt!314!
!member \EFF {}unctions!rm!315!
!bid!tt!315!
!bn\EFF {}!tt!315!
!clgp!tt!315!
!cyc!tt!315!
!Smith normal \EFF {}orm!rm!315!
!gen (member \EFF {}unction)!rm!315!
!no!tt!315!
!di\EFF {}\EFF {}!tt!315!
!codi\EFF {}\EFF {}!tt!315!
!disc!tt!315!
!\EFF {}u!tt!315!
!\EFF {}undamental units!rm!315!
!index!tt!315!
!index!rm!315!
!mod!tt!315!
!n\EFF {}!tt!315!
!pol!tt!315!
!r1!tt!315!
!r2!tt!315!
!reg!tt!315!
!roots!tt!315!
!sign!tt!315!
!t2!tt!315!
!tu!tt!315!
!zk!tt!315!
!zkst!tt!315!
!\EFF {}utu!tt!315!
!tu\EFF {}u!tt!315!
!GRH!rm!316!
!Buchmann!rm!316!
!GRH!rm!316!
!bn\EFF {}certi\EFF {}y!tt!317!
!GRH!rm!317!
!bn\EFF {}certi\EFF {}y0!tt!317!
!bn\EFF {}certi\EFF {}y!tt!317!
!bn\EFF {}compress!tt!317!
!bn\EFF {}init!tt!317!
!snb\EFF {}!it!317!
!bn\EFF {}!it!317!
!bn\EFF {}compress!tt!318!
!bn\EFF {}decodemodule!tt!318!
!decodemodule!tt!318!
!bn\EFF {}init!tt!318!
!Buchmann!rm!318!
!\EFF {}undamental units!rm!318!
!bn\EFF {}isprincipal!tt!319!
!Smith normal \EFF {}orm!rm!319!
!bnrisprincipal!tt!319!
!bn\EFF {}init0!tt!319!
!Buchall!tt!319!
!n\EFF {}_FORCE!tt!319!
!Buchall_param!tt!319!
!bn\EFF {}isintnorm!tt!319!
!GRH!rm!319!
!bn\EFF {}isnorm!tt!320!
!bn\EFF {}isintnorm!tt!320!
!bn\EFF {}isintnormabs!tt!320!
!bn\EFF {}isnorm!tt!320!
!Galois!rm!320!
!GRH!rm!320!
!bn\EFF {}isintnorm!tt!320!
!bn\EFF {}isnorm!tt!320!
!bn\EFF {}isprincipal!tt!320!
!principal ideal!rm!320!
!bn\EFF {}isprincipal0!tt!321!
!n\EFF {}_GEN!tt!321!
!n\EFF {}_FORCE!tt!321!
!bn\EFF {}issunit!tt!321!
!bn\EFF {}issunit!tt!321!
!bn\EFF {}isunit!tt!321!
!bn\EFF {}isunit!tt!322!
!bn\EFF {}log!tt!322!
!bn\EFF {}log!tt!322!
!bn\EFF {}logdegree!tt!322!
!bn\EFF {}loge\EFF {}!tt!322!
!bn\EFF {}logdegree!tt!322!
!bn\EFF {}loge\EFF {}!tt!322!
!bn\EFF {}loge\EFF {}!tt!323!
!bn\EFF {}narrow!tt!323!
!Smith normal \EFF {}orm!rm!323!
!bn\EFF {}narrow!tt!323!
!bn\EFF {}signunit!tt!323!
!signunits!tt!323!
!bn\EFF {}sunit!tt!323!
!bn\EFF {}sunit!tt!324!
!bnrL1!tt!324!
!character!rm!324!
!bnrL1!tt!324!
!bnrchar!tt!324!
!bnrchar!tt!325!
!bnrclassno!tt!325!
!bnrclassnolist!tt!325!
!bnrclassno0!tt!325!
!bnrclassno!tt!325!
!bnrclassnolist!tt!325!
!bnrclassno!tt!325!
!bnrclassnolist!tt!325!
!bnrconductor!tt!325!
!bnrinit!tt!326!
!bnrconductor0!tt!326!
!bnrconductor!tt!326!
!bnrconductoro\EFF {}char!tt!326!
!bnrconductor!it!326!
!bnrconductoro\EFF {}char!tt!326!
!bnrdisc!tt!326!
!bnrdisc0!tt!326!
!bnrdisclist!tt!326!
!bn\EFF {}decodemodule!tt!327!
!bnrclassno!tt!327!
!bnrdisc!tt!327!
!bnrdisclist0!tt!327!
!bnrgaloisapply!tt!327!
!bnrgaloismatrix!tt!327!
!bnrgaloisapply!tt!327!
!bnrgaloismatrix!tt!327!
!bnrgaloismatrix!tt!327!
!bnrautmatrix!tt!327!
!bnrinit!tt!327!
!idealstar!tt!327!
!ideal\EFF {}actor!tt!327!
!bnrinit0!tt!328!
!Buchray!tt!328!
!bnrisconductor!tt!328!
!bnrisconductor0!tt!328!
!bnrisgalois!tt!328!
!galoisinit!tt!328!
!bnrisgalois!tt!328!
!bnrisprincipal!tt!328!
!bn\EFF {}isprincipal!tt!328!
!bnrisprincipal!tt!329!
!isprincipalray!tt!329!
!bnrrootnumber!tt!329!
!character!rm!329!
!Artin L-\EFF {}unction!rm!329!
!Artin root number!rm!329!
!bnrrootnumber!tt!329!
!bnrstark!tt!329!
!galoissubcyclo!tt!329!
!Stark units!rm!330!
!rn\EFF {}kummer!tt!330!
!bnrstark!tt!330!
!dirzetak!tt!330!
!Dedekind!rm!330!
!Dirichlet series!rm!330!
!dirzetak!tt!330!
!\EFF {}actorn\EFF {}!tt!330!
!Trager!rm!330!
!n\EFF {}\EFF {}actor!tt!330!
!van Hoeij!rm!330!
!pol\EFF {}n\EFF {}!tt!331!
!galoischardet!tt!331!
!galoischardet!tt!331!
!galoischarpoly!tt!331!
!galoischarpoly!tt!332!
!galoischartable!tt!332!
!galoischartable!tt!333!
!galoisconjclasses!tt!333!
!galoisconjclasses!tt!333!
!galoisexport!tt!333!
!galoisinit!tt!333!
!galoissub\EFF {}ields!tt!334!
!galoisexport!tt!334!
!galois\EFF {}ixed\EFF {}ield!tt!334!
!galoisinit!tt!334!
!n\EFF {}sub\EFF {}ield!tt!334!
!galois\EFF {}ixed\EFF {}ield!tt!334!
!galoisgetgroup!tt!334!
!galoisgetgroup!tt!335!
!galoisnbpol!tt!335!
!galoisgetname!tt!335!
!galoisgetname!tt!335!
!galoisgetpol!tt!335!
!galoisinit!tt!335!
!n\EFF {}galoisconj!tt!335!
!galoisgetpol!tt!335!
!galoisnbpol!tt!335!
!galoisidenti\EFF {}y!tt!335!
!galoisinit!tt!335!
!galoisexport!tt!336!
!galoisidenti\EFF {}y!tt!336!
!galoisinit!tt!336!
!n\EFF {}init!tt!336!
!galoisinit!tt!337!
!galoisisabelian!tt!337!
!galoisisabelian!tt!337!
!galoisisnormal!tt!337!
!galoisisnormal!tt!337!
!galoispermtopol!tt!337!
!galoispermtopol!tt!337!
!galoissubcyclo!tt!337!
!galoissubcyclo!tt!338!
!galoissub\EFF {}ields!tt!338!
!galoissub\EFF {}ields!tt!338!
!galoissubgroups!tt!338!
!galoissubgroups!tt!339!
!idealadd!tt!339!
!idealadd!tt!339!
!idealaddtoone!tt!339!
!idealaddtoone0!tt!340!
!idealappr!tt!340!
!idealappr0!tt!340!
!idealappr!tt!340!
!idealchinese!tt!340!
!idealchinese!tt!341!
!idealchineseinit!tt!341!
!idealcoprime!tt!341!
!idealcoprime!tt!341!
!idealdiv!tt!341!
!idealdiv0!tt!341!
!idealdiv!tt!341!
!idealdivexact!tt!341!
!ideal\EFF {}actor!tt!341!
!gpideal\EFF {}actor!tt!342!
!ideal\EFF {}actor!tt!342!
!ideal\EFF {}actor_limit!tt!342!
!ideal\EFF {}actorback!tt!342!
!idealred!tt!342!
!n\EFF {}\EFF {}actorback!tt!342!
!ideal\EFF {}actorback!tt!342!
!ideal\EFF {}robenius!tt!342!
!ideal\EFF {}robenius!tt!343!
!idealhn\EFF {}!tt!343!
!Hermite normal \EFF {}orm!rm!343!
!idealhn\EFF {}0!tt!344!
!idealhn\EFF {}!tt!344!
!idealintersect!tt!344!
!idealintersect!tt!344!
!idealinv!tt!344!
!ideal (extended)!rm!344!
!idealinv!tt!344!
!idealispower!tt!344!
!idealispower!tt!345!
!ideallist!tt!345!
!bnrclassnolist!tt!345!
!bnrdisclist!tt!345!
!ideallistarch!tt!346!
!ideallist0!tt!346!
!ideallistarch!tt!346!
!ideallist!tt!346!
!ideallist!tt!346!
!ideallistarch!tt!346!
!ideallog!tt!346!
!znlog!tt!346!
!ideallog!tt!346!
!Zideallog!tt!346!
!idealmin!tt!347!
!idealmin!tt!347!
!idealmul!tt!347!
!ideal (extended)!rm!347!
!idealmul0!tt!347!
!idealmul!tt!347!
!idealmulred!tt!347!
!idealnorm!tt!347!
!idealnorm!tt!347!
!idealnumden!tt!347!
!idealnumden!tt!347!
!idealpow!tt!347!
!ideal (extended)!rm!347!
!idealpow0!tt!347!
!idealpow!tt!347!
!idealpows!tt!347!
!idealpowred!tt!347!
!idealprimedec!tt!348!
!prid!it!348!
!idealprimedec_limit_\EFF {}!tt!348!
!idealprincipalunits!tt!348!
!idealprimedec!tt!348!
!idealstar!tt!348!
!idealprincipalunits!tt!349!
!idealramgroups!tt!349!
!rami\EFF {}ication group!rm!349!
!idealramgroups!tt!349!
!idealred!tt!349!
!LLL!rm!349!
!principal ideal!rm!350!
!idealpow!tt!350!
!bn\EFF {}init!tt!350!
!bn\EFF {}isprincipal!tt!350!
!idealred0!tt!350!
!idealredmodpower!tt!350!
!idealredmodpower!tt!351!
!idealstar!tt!351!
!ideal\EFF {}actor!tt!351!
!ideallog!tt!351!
!Smith normal \EFF {}orm!rm!351!
!idealstar0!tt!352!
!Idealstar!tt!352!
!n\EFF {}_GEN!tt!352!
!n\EFF {}_INIT!tt!352!
!idealtwoelt!tt!352!
!idealtwoelt0!tt!352!
!idealtwoelt!tt!352!
!idealtwoelt2!tt!352!
!idealval!tt!352!
!gpidealval!tt!352!
!idealval!tt!352!
!LONG_MAX!tt!352!
!matalgtobasis!tt!352!
!n\EFF {}algtobasis!tt!353!
!matalgtobasis!tt!353!
!matbasistoalg!tt!353!
!n\EFF {}basistoalg!tt!353!
!matbasistoalg!tt!353!
!modreverse!tt!353!
!modreverse!tt!353!
!newtonpoly!tt!353!
!newtonpoly!tt!354!
!n\EFF {}algtobasis!tt!354!
!algtobasis!tt!354!
!n\EFF {}basis!tt!354!
!integral basis!rm!354!
!round 4!rm!354!
!Ford!rm!354!
!Pauli!rm!354!
!Roblot!rm!354!
!addprimes!tt!355!
!n\EFF {}certi\EFF {}y!tt!355!
!n\EFF {}basis!tt!356!
!n\EFF {}basistoalg!tt!356!
!basistoalg!tt!356!
!n\EFF {}certi\EFF {}y!tt!356!
!n\EFF {}certi\EFF {}y!tt!356!
!n\EFF {}compositum!tt!356!
!compositum!rm!356!
!n\EFF {}compositum!tt!357!
!n\EFF {}detint!tt!357!
!n\EFF {}detint!tt!357!
!n\EFF {}disc!tt!357!
!\EFF {}ield discriminant!rm!357!
!n\EFF {}disc!tt!358!
!n\EFF {}basis!tt!358!
!n\EFF {}eltadd!tt!358!
!n\EFF {}add!tt!358!
!n\EFF {}eltdiv!tt!358!
!n\EFF {}div!tt!358!
!n\EFF {}eltdiveuc!tt!358!
!n\EFF {}diveuc!tt!358!
!n\EFF {}eltdivmodpr!tt!358!
!n\EFF {}modprinit!tt!358!
!n\EFF {}divmodpr!tt!358!
!n\EFF {}eltdivrem!tt!359!
!n\EFF {}divrem!tt!359!
!n\EFF {}eltembed!tt!359!
!n\EFF {}eltembed!tt!359!
!n\EFF {}eltmod!tt!359!
!n\EFF {}mod!tt!359!
!n\EFF {}eltmul!tt!359!
!n\EFF {}mul!tt!359!
!n\EFF {}eltmulmodpr!tt!359!
!n\EFF {}modprinit!tt!359!
!n\EFF {}mulmodpr!tt!359!
!n\EFF {}eltnorm!tt!360!
!n\EFF {}norm!tt!360!
!n\EFF {}eltpow!tt!360!
!n\EFF {}pow!tt!360!
!n\EFF {}inv!tt!360!
!n\EFF {}sqr!tt!360!
!n\EFF {}eltpowmodpr!tt!360!
!n\EFF {}modprinit!tt!360!
!n\EFF {}powmodpr!tt!360!
!n\EFF {}eltreduce!tt!360!
!n\EFF {}reduce!tt!360!
!n\EFF {}eltreducemodpr!tt!360!
!n\EFF {}reducemodpr!tt!360!
!n\EFF {}eltsign!tt!360!
!n\EFF {}eltsign!tt!361!
!n\EFF {}elttrace!tt!361!
!n\EFF {}trace!tt!361!
!n\EFF {}eltval!tt!361!
!gpn\EFF {}valrem!tt!361!
!n\EFF {}valrem!tt!361!
!LONG_MAX!tt!361!
!n\EFF {}val!tt!361!
!n\EFF {}\EFF {}actor!tt!361!
!van Hoeij!rm!362!
!n\EFF {}\EFF {}actor!tt!362!
!n\EFF {}\EFF {}actorback!tt!362!
!n\EFF {}\EFF {}actorback!tt!362!
!n\EFF {}\EFF {}actormod!tt!362!
!idealprimedec!tt!362!
!modprinit!tt!362!
!n\EFF {}\EFF {}actormod!tt!363!
!n\EFF {}galoisapply!tt!363!
!Galois!rm!363!
!galoisapply!tt!364!
!n\EFF {}galoisconj!tt!364!
!Galois!rm!364!
!galoisinit!tt!364!
!galoisconj0!tt!364!
!galoisconj!tt!364!
!n\EFF {}grunwaldwang!tt!364!
!n\EFF {}grunwaldwang!tt!365!
!n\EFF {}hilbert!tt!365!
!Hilbert symbol!rm!365!
!n\EFF {}hilbert0!tt!365!
!n\EFF {}hilbert!tt!365!
!n\EFF {}hn\EFF {}!tt!365!
!Hermite normal \EFF {}orm!rm!365!
!n\EFF {}hn\EFF {}0!tt!365!
!n\EFF {}hn\EFF {}!tt!365!
!rn\EFF {}simpli\EFF {}ybasis!tt!365!
!n\EFF {}hn\EFF {}mod!tt!365!
!Hermite normal \EFF {}orm!rm!365!
!n\EFF {}hn\EFF {}mod!tt!365!
!n\EFF {}init!tt!365!
!idealinv!tt!366!
!n\EFF {}newprec!tt!366!
!n\EFF {}basis!tt!367!
!n\EFF {}basis!tt!367!
!addprimes!tt!367!
!n\EFF {}certi\EFF {}y!tt!367!
!polredbest!tt!367!
!n\EFF {}init0!tt!367!
!n\EFF {}init!tt!367!
!n\EFF {}initred!tt!367!
!n\EFF {}initred2!tt!367!
!n\EFF {}initall!tt!368!
!n\EFF {}_RED!tt!368!
!n\EFF {}_ORIG!tt!368!
!n\EFF {}_RED!tt!368!
!n\EFF {}_ROUND2!tt!368!
!n\EFF {}_PARTIALFACT!tt!368!
!n\EFF {}isideal!tt!368!
!isideal!tt!368!
!n\EFF {}isincl!tt!368!
!n\EFF {}isincl!tt!369!
!n\EFF {}isisom!tt!369!
!n\EFF {}isincl!tt!369!
!n\EFF {}isisom!tt!370!
!n\EFF {}islocalpower!tt!370!
!n\EFF {}islocalpower!tt!370!
!n\EFF {}kermodpr!tt!370!
!n\EFF {}kermodpr!tt!370!
!n\EFF {}modpr!tt!370!
!n\EFF {}modprinit!tt!370!
!n\EFF {}modprli\EFF {}t!tt!370!
!n\EFF {}modpr!tt!370!
!n\EFF {}modprinit!tt!370!
!modpr!tt!370!
!n\EFF {}modpr!tt!370!
!n\EFF {}modprli\EFF {}t!tt!370!
!n\EFF {}modprinit!tt!370!
!n\EFF {}modprli\EFF {}t!tt!370!
!n\EFF {}modpr!tt!370!
!n\EFF {}modprinit!tt!371!
!n\EFF {}modpr!tt!371!
!n\EFF {}modprli\EFF {}t!tt!371!
!n\EFF {}newprec!tt!371!
!n\EFF {}newprec!tt!371!
!bn\EFF {}newprec!tt!371!
!bnrnewprec!tt!371!
!n\EFF {}polsturm!tt!371!
!n\EFF {}polsturm!tt!372!
!n\EFF {}roots!tt!372!
!n\EFF {}roots!tt!372!
!n\EFF {}rootsQ!tt!372!
!n\EFF {}rootso\EFF {}1!tt!372!
!rootso\EFF {}1!tt!372!
!rootso\EFF {}1_kannan!tt!372!
!n\EFF {}sn\EFF {}!tt!373!
!Smith normal \EFF {}orm!rm!373!
!n\EFF {}sn\EFF {}0!tt!373!
!n\EFF {}sn\EFF {}!tt!373!
!n\EFF {}solvemodpr!tt!373!
!n\EFF {}solvemodpr!tt!373!
!n\EFF {}splitting!tt!373!
!n\EFF {}splitting!tt!374!
!n\EFF {}sub\EFF {}ields!tt!374!
!galoissub\EFF {}ields!tt!374!
!Galois!rm!374!
!sub\EFF {}ield!rm!374!
!n\EFF {}sub\EFF {}ields!tt!374!
!polcompositum!tt!374!
!compositum!rm!374!
!polcompositum0!tt!375!
!compositum!tt!375!
!compositum2!tt!375!
!polgalois!tt!375!
!Galois!rm!375!
!galdata!tt!375!
!new_galois_\EFF {}ormat!tt!376!
!polgalois!tt!376!
!new_galois_\EFF {}ormat!tt!376!
!polred!tt!376!
!polredbest!tt!376!
!n\EFF {}init!tt!376!
!primelimit!tt!377!
!addprimes!tt!377!
!polred!tt!377!
!polred2!tt!377!
!polredabs!tt!377!
!n\EFF {}init!tt!377!
!n\EFF {}certi\EFF {}y!tt!377!
!polredbest!tt!377!
!polredbest!tt!378!
!polredabs!tt!378!
!polredabs!tt!378!
!polredabs0!tt!378!
!n\EFF {}_PARTIALFACT!tt!378!
!n\EFF {}_ORIG!tt!378!
!n\EFF {}_RAW!tt!379!
!n\EFF {}_ORIG!tt!379!
!modreverse!tt!379!
!n\EFF {}_ADDZK!tt!379!
!n\EFF {}_ALL!tt!379!
!polredbest!tt!379!
!n\EFF {}init!tt!379!
!polredabs!tt!379!
!polredabs!tt!379!
!polredbest!tt!379!
!polredord!tt!380!
!polredord!tt!380!
!poltschirnhaus!tt!380!
!tschirnhaus!tt!380!
!rn\EFF {}algtobasis!tt!380!
!rn\EFF {}algtobasis!tt!380!
!rn\EFF {}basis!tt!380!
!rn\EFF {}basis!tt!380!
!rn\EFF {}basistoalg!tt!380!
!rn\EFF {}basistoalg!tt!380!
!rn\EFF {}charpoly!tt!380!
!rn\EFF {}charpoly!tt!380!
!rn\EFF {}conductor!tt!380!
!Abelian extension!rm!380!
!rn\EFF {}conductor!tt!381!
!rn\EFF {}dedekind!tt!381!
!Dedekind!rm!381!
!rn\EFF {}dedekind!tt!382!
!rn\EFF {}det!tt!382!
!rn\EFF {}det!tt!382!
!rn\EFF {}disc!tt!382!
!rn\EFF {}disc\EFF {}!tt!382!
!rn\EFF {}eltabstorel!tt!382!
!rn\EFF {}eltabstorel!tt!382!
!rn\EFF {}eltdown!tt!382!
!rn\EFF {}eltdown0!tt!383!
!rn\EFF {}eltdown!tt!383!
!rn\EFF {}eltnorm!tt!383!
!rn\EFF {}eltnorm!tt!383!
!rn\EFF {}eltreltoabs!tt!383!
!rn\EFF {}eltreltoabs!tt!384!
!rn\EFF {}elttrace!tt!384!
!rn\EFF {}elttrace!tt!384!
!rn\EFF {}eltup!tt!384!
!rn\EFF {}eltup0!tt!384!
!rn\EFF {}equation!tt!384!
!rn\EFF {}equation0!tt!385!
!rn\EFF {}equation!tt!385!
!rn\EFF {}equation2!tt!385!
!rn\EFF {}hn\EFF {}basis!tt!385!
!rn\EFF {}hn\EFF {}basis!tt!385!
!rn\EFF {}idealabstorel!tt!385!
!rn\EFF {}idealabstorel!tt!386!
!rn\EFF {}idealdown!tt!386!
!rn\EFF {}idealdown!tt!386!
!rn\EFF {}ideal\EFF {}actor!tt!386!
!rn\EFF {}ideal\EFF {}actor!tt!386!
!rn\EFF {}idealhn\EFF {}!tt!387!
!rn\EFF {}idealhn\EFF {}!tt!387!
!rn\EFF {}idealmul!tt!387!
!rn\EFF {}idealmul!tt!387!
!rn\EFF {}idealnormabs!tt!387!
!rn\EFF {}idealnormabs!tt!387!
!rn\EFF {}idealnormrel!tt!387!
!rn\EFF {}idealnormrel!tt!387!
!rn\EFF {}idealprimedec!tt!387!
!rn\EFF {}idealprimedec!tt!387!
!rn\EFF {}idealreltoabs!tt!387!
!rn\EFF {}idealreltoabs0!tt!388!
!rn\EFF {}idealreltoabs!tt!388!
!rn\EFF {}idealtwoelt!tt!388!
!rn\EFF {}idealtwoelement!tt!388!
!rn\EFF {}idealup!tt!388!
!rn\EFF {}idealup0!tt!389!
!rn\EFF {}idealup!tt!389!
!rn\EFF {}init!tt!389!
!rn\EFF {}init0!tt!390!
!rn\EFF {}init!tt!390!
!rn\EFF {}isabelian!tt!390!
!rn\EFF {}isabelian!tt!390!
!rn\EFF {}is\EFF {}ree!tt!390!
!rn\EFF {}is\EFF {}ree!tt!390!
!rn\EFF {}islocalcyclo!tt!390!
!rn\EFF {}islocalcyclo!tt!390!
!rn\EFF {}isnorm!tt!391!
!rn\EFF {}isnorminit!tt!391!
!GRH!rm!391!
!rn\EFF {}isnorminit!tt!391!
!Galois!rm!391!
!rn\EFF {}isnorm!tt!391!
!rn\EFF {}isnorminit!tt!391!
!rn\EFF {}isnorm!tt!391!
!rn\EFF {}isnorm!tt!391!
!rn\EFF {}isnorminit!tt!391!
!rn\EFF {}kummer!tt!391!
!rn\EFF {}kummer!tt!392!
!rn\EFF {}lllgram!tt!392!
!rn\EFF {}lllgram!tt!392!
!rn\EFF {}normgroup!tt!392!
!Abelian extension!rm!392!
!rn\EFF {}normgroup!tt!392!
!rn\EFF {}polred!tt!392!
!rn\EFF {}polredbest!tt!392!
!rn\EFF {}polred!tt!392!
!rn\EFF {}polredabs!tt!392!
!rn\EFF {}polredbest!tt!393!
!rn\EFF {}polredabs!tt!393!
!rn\EFF {}polredbest!tt!393!
!rn\EFF {}polredabs!tt!393!
!rn\EFF {}polredbest!tt!394!
!rn\EFF {}pseudobasis!tt!394!
!rn\EFF {}pseudobasis!tt!395!
!rn\EFF {}steinitz!tt!395!
!Steinitz class!rm!395!
!rn\EFF {}steinitz!tt!395!
!subgrouplist!tt!395!
!bnrstark!tt!395!
!rn\EFF {}kummer!tt!395!
!subgrouplist0!tt!395!
!algadd!tt!397!
!algadd!tt!397!
!algalgtobasis!tt!397!
!alginit!tt!397!
!algbasistoalg!tt!397!
!algalgtobasis!tt!397!
!algaut!tt!398!
!alginit!tt!398!
!algaut!tt!398!
!algb!tt!398!
!alginit!tt!398!
!algb!tt!398!
!algbasis!tt!398!
!alginit!tt!398!
!algbasis!tt!398!
!algbasistoalg!tt!398!
!alginit!tt!398!
!algalgtobasis!tt!398!
!algbasistoalg!tt!399!
!algcenter!tt!399!
!algtableinit!tt!399!
!alginit!tt!399!
!algcenter!tt!399!
!algcentralproj!tt!399!
!algtableinit!tt!399!
!alg_centralproj!tt!400!
!algchar!tt!400!
!alginit!tt!400!
!algtableinit!tt!400!
!algchar!tt!400!
!algcharpoly!tt!400!
!algtableinit!tt!400!
!alginit!tt!400!
!algcharpoly!tt!400!
!algdegree!tt!400!
!alginit!tt!400!
!algdegree!tt!400!
!algdim!tt!400!
!algtableinit!tt!400!
!alginit!tt!400!
!algdim!tt!401!
!algdisc!tt!401!
!alginit!tt!401!
!algdisc!tt!401!
!algdivl!tt!401!
!algdivl!tt!401!
!algdivr!tt!401!
!algdivr!tt!401!
!alggroup!tt!401!
!alggroup!tt!402!
!alggroupcenter!tt!402!
!alggroupcenter!tt!402!
!alghasse!tt!402!
!alginit!tt!402!
!alghasse!tt!403!
!alghasse\EFF {}!tt!403!
!alginit!tt!403!
!alghasse\EFF {}!tt!403!
!alghassei!tt!403!
!alginit!tt!403!
!alghassei!tt!403!
!algindex!tt!403!
!algindex!tt!404!
!alginit!tt!404!
!n\EFF {}init!tt!404!
!alginit!tt!406!
!alginv!tt!406!
!alginv!tt!406!
!alginvbasis!tt!406!
!alginit!tt!406!
!alginvbasis!tt!406!
!algisassociative!tt!406!
!algtableinit!tt!406!
!algisassociative!tt!407!
!algiscommutative!tt!407!
!algtableinit!tt!407!
!alginit!tt!407!
!algiscommutative!tt!407!
!algisdivision!tt!407!
!alginit!tt!407!
!algisdivision!tt!407!
!algisdivl!tt!407!
!algisdivl!tt!408!
!algisinv!tt!408!
!algisinv!tt!408!
!algisrami\EFF {}ied!tt!408!
!alginit!tt!408!
!algisrami\EFF {}ied!tt!408!
!algissemisimple!tt!408!
!algtableinit!tt!408!
!alginit!tt!408!
!algissemisimple!tt!409!
!algissimple!tt!409!
!algtableinit!tt!409!
!alginit!tt!409!
!algissimple!tt!409!
!algissplit!tt!409!
!alginit!tt!409!
!algissplit!tt!410!
!alglatadd!tt!410!
!alglatadd!tt!410!
!alglatcontains!tt!410!
!alglatcontains!tt!410!
!alglatelement!tt!410!
!alglatelement!tt!411!
!alglathn\EFF {}!tt!411!
!alglathn\EFF {}!tt!411!
!alglatindex!tt!411!
!alglatindex!tt!411!
!alglatinter!tt!411!
!alglatinter!tt!411!
!alglatle\EFF {}ttransporter!tt!412!
!alglatle\EFF {}ttransporter!tt!412!
!alglatmul!tt!412!
!alglatmul!tt!412!
!alglatrighttransporter!tt!412!
!alglatrighttransporter!tt!413!
!alglatsubset!tt!413!
!alglatsubset!tt!413!
!algmakeintegral!tt!413!
!algtableinit!tt!413!
!algmakeintegral!tt!413!
!algmul!tt!413!
!algmul!tt!414!
!algmultable!tt!414!
!algtableinit!tt!414!
!alginit!tt!414!
!algmultable!tt!414!
!algneg!tt!414!
!algneg!tt!414!
!algnorm!tt!414!
!algtableinit!tt!414!
!alginit!tt!414!
!algnorm!tt!415!
!algpoleval!tt!415!
!algpoleval!tt!415!
!algpow!tt!415!
!algpow!tt!415!
!algprimesubalg!tt!415!
!algtableinit!tt!415!
!algprimesubalg!tt!416!
!algquotient!tt!416!
!algtableinit!tt!416!
!alg_quotient!tt!416!
!algradical!tt!416!
!algtableinit!tt!416!
!algradical!tt!416!
!algrami\EFF {}iedplaces!tt!416!
!alginit!tt!416!
!algrami\EFF {}iedplaces!tt!417!
!algrandom!tt!417!
!algrandom!tt!417!
!algrelmultable!tt!417!
!alginit!tt!417!
!algrelmultable!tt!417!
!algsimpledec!tt!417!
!algtableinit!tt!417!
!algsimpledec!tt!417!
!algsplit!tt!418!
!algtableinit!tt!418!
!algsplit!tt!418!
!algsplittingdata!tt!418!
!alginit!tt!418!
!algsplittingdata!tt!419!
!algsplitting\EFF {}ield!tt!419!
!alginit!tt!419!
!algsplitting\EFF {}ield!tt!420!
!algsqr!tt!420!
!algsqr!tt!420!
!algsub!tt!420!
!algsub!tt!420!
!algsubalg!tt!420!
!algtableinit!tt!420!
!algsubalg!tt!421!
!algtableinit!tt!421!
!alginit!tt!421!
!algtableinit!tt!422!
!algtensor!tt!422!
!algtensor!tt!422!
!algtomatrix!tt!422!
!algtomatrix!tt!422!
!algtrace!tt!422!
!algtableinit!tt!422!
!alginit!tt!422!
!algtrace!tt!423!
!algtype!tt!423!
!alginit!tt!423!
!algtableinit!tt!423!
!algtableinit!tt!423!
!alginit!tt!423!
!alginit!tt!423!
!algtype!tt!424!
!Weierstrass equation!rm!424!
!ellinit!tt!424!
!ell!it!424!
!ell!it!424!
!member \EFF {}unctions!rm!424!
!a1!tt!424!
!a2!tt!424!
!a3!tt!424!
!a4!tt!424!
!a6!tt!424!
!b2!tt!424!
!b4!tt!424!
!b6!tt!424!
!b8!tt!424!
!c4!tt!424!
!c6!tt!424!
!disc!tt!424!
!j!tt!424!
!ellperiods!tt!424!
!area!tt!425!
!roots!tt!425!
!omega!tt!425!
!eta!tt!425!
!ellzeta!tt!425!
!p!tt!425!
!roots!tt!425!
!tate!tt!425!
!p!tt!426!
!no!tt!426!
!cyc!tt!426!
!gen!tt!426!
!group!tt!426!
!ellgenerators!tt!426!
!ellidenti\EFF {}y!tt!426!
!ellsearch!tt!426!
!\EFF {}orell!tt!426!
!elldata!tt!426!
!ellinit!tt!426!
!gen!tt!426!
!n\EFF {}!tt!426!
!bn\EFF {}!tt!426!
!omega!tt!426!
!eta!tt!426!
!area!tt!426!
!ellL1!tt!427!
!ellanalyticrank!tt!428!
!ellL1_bitprec!tt!428!
!elladd!tt!428!
!elladd!tt!428!
!ellak!tt!428!
!Taniyama-Shimura-Weil conjecture!rm!428!
!akell!tt!429!
!ellan!tt!429!
!ellan!tt!429!
!ellanQ_zv!tt!429!
!ellanalyticrank!tt!429!
!ellanalyticrank_bitprec!tt!429!
!ellap!tt!429!
!SEA!tt!431!
!ellap!tt!431!
!ellbil!tt!431!
!bilhell!tt!431!
!ellbsd!tt!431!
!ellbsd!tt!431!
!ellcard!tt!431!
!ellap!tt!432!
!ellcard!tt!432!
!ellcard!tt!432!
!ellchangecurve!tt!432!
!ellchangecurve!tt!432!
!ellchangepoint!tt!432!
!ellchangepoint!tt!432!
!ellchangepointinv!tt!432!
!ellchangepointinv!tt!432!
!ellchangepointinv!tt!433!
!ellconvertname!tt!433!
!elldata!tt!433!
!ellconvertname!tt!433!
!elldivpol!tt!433!
!elldivpol!tt!433!
!elleisnum!tt!433!
!ellperiods!tt!433!
!elleisnum!tt!434!
!elleta!tt!434!
!elleta!tt!434!
!ell\EFF {}ormaldi\EFF {}\EFF {}erential!tt!434!
!seriesprecision!tt!434!
!ell\EFF {}ormaldi\EFF {}\EFF {}erential!tt!434!
!ell\EFF {}ormalexp!tt!434!
!ell\EFF {}ormallog!tt!434!
!ell\EFF {}ormalexp!tt!435!
!ell\EFF {}ormallog!tt!435!
!ell\EFF {}ormallog!tt!435!
!ell\EFF {}ormalpoint!tt!435!
!seriesprecision!tt!435!
!ell\EFF {}ormalpoint!tt!435!
!ell\EFF {}ormalw!tt!435!
!seriesprecision!tt!435!
!ell\EFF {}ormalw!tt!436!
!ell\EFF {}romeqn!tt!436!
!ell\EFF {}romeqn!tt!436!
!ell\EFF {}romj!tt!436!
!ell\EFF {}romj!tt!436!
!ellgenerators!tt!436!
!Mordell-Weil group!rm!436!
!elldata!tt!436!
!ellinit!tt!436!
!ellgenerators!tt!437!
!ellglobalred!tt!437!
!Tamagawa number!rm!437!
!ellminimalmodel!tt!437!
!ellintegralmodel!tt!437!
!Birch and Swinnerton-Dyer conjecture!rm!437!
!ellglobalred!tt!437!
!ellgroup!tt!437!
!ellgroup0!tt!438!
!ellgroup!tt!438!
!ellheegner!tt!438!
!ellheegner!tt!439!
!ellheight!tt!439!
!ellheight0!tt!439!
!ellheight!tt!439!
!ellheightmatrix!tt!439!
!Mordell-Weil group!rm!439!
!ellheightmatrix!tt!439!
!ellidenti\EFF {}y!tt!439!
!elldata!tt!439!
!Mordell-Weil group!rm!439!
!ellidenti\EFF {}y!tt!439!
!ellinit!tt!439!
!ell!tt!439!
!elldata!tt!439!
!\EFF {}\EFF {}gen!tt!440!
!ellinit!tt!440!
!ell!it!440!
!ellinit!tt!441!
!ellintegralmodel!tt!441!
!ellintegralmodel!tt!441!
!ellisdivisible!tt!441!
!ellisdivisible!tt!442!
!ellisogeny!tt!442!
!ellisogeny!tt!442!
!ellisogenyapply!tt!442!
!ellisogeny!tt!442!
!ellisogenyapply!tt!443!
!ellisomat!tt!443!
!ellisomat!tt!443!
!ellisoncurve!tt!443!
!ellisoncurve!tt!444!
!oncurve!tt!444!
!ellisotree!tt!444!
!ellisotree!tt!445!
!ellissupersingular!tt!445!
!ellissupersingular!tt!445!
!elljissupersingular!tt!445!
!ellj!tt!445!
!jell!tt!445!
!elllocalred!tt!445!
!Kodaira!rm!445!
!Tamagawa number!rm!445!
!elllocalred!tt!445!
!elllog!tt!445!
!znlog!tt!445!
!elllog!tt!446!
!elllseries!tt!446!
!elllseries!tt!446!
!ellminimaldisc!tt!446!
!ellminimaldisc!tt!446!
!ellminimalmodel!tt!446!
!minimal model!rm!446!
!ellminimalmodel!tt!447!
!ellminimaltwist!tt!447!
!ellminimaltwist0!tt!447!
!ellminimaltwist!tt!447!
!ellminimaltwistcond!tt!447!
!ellmoddegree!tt!447!
!ellmoddegree!tt!448!
!ellmodulareqn!tt!448!
!polmodular!tt!448!
!ellmodulareqn!tt!449!
!ellmul!tt!449!
!ellmul!tt!449!
!ellneg!tt!449!
!ellneg!tt!449!
!ellnonsingularmultiple!tt!449!
!ellnonsingularmultiple!tt!449!
!ellorder!tt!449!
!ellorder!tt!450!
!orderell!tt!450!
!ellordinate!tt!450!
!ellordinate!tt!450!
!ellpadicL!tt!450!
!ellpadicbsd!tt!452!
!mspadicL!tt!452!
!mspadicseries!tt!452!
!ellpadicL!tt!452!
!ellpadicbsd!tt!452!
!ellanalyticrank!tt!452!
!ellbsd!tt!452!
!ellpadicregulator!tt!452!
!ellpadicL!tt!453!
!ellpadicbsd!tt!453!
!ellpadic\EFF {}robenius!tt!453!
!ellpadic\EFF {}robenius!tt!454!
!ellpadicheight!tt!454!
!ellpadicbsd!tt!455!
!ellpadicheight0!tt!455!
!ellpadicheightmatrix!tt!455!
!ellpadicheightmatrix!tt!456!
!ellpadiclog!tt!456!
!ellpadiclog!tt!456!
!ellpadicregulator!tt!456!
!ellpadicheight!tt!456!
!ellpadicregulator!tt!456!
!ellpadics2!tt!456!
!ellpadics2!tt!457!
!ellperiods!tt!457!
!ellperiods!tt!457!
!ellpointtoz!tt!457!
!zell!tt!459!
!ellpow!tt!459!
!ellmul!tt!459!
!ellratpoints!tt!459!
!ellratpoints!tt!459!
!ellrootno!tt!459!
!Mordell-Weil group!rm!459!
!ellrootno!tt!459!
!ellsea!tt!459!
!ellsea!tt!460!
!ellsearch!tt!460!
!elldata!tt!460!
!ellconvertname!tt!460!
!Mordell-Weil group!rm!460!
!ellsearch!tt!461!
!ellsearchcurve!tt!461!
!ellsigma!tt!461!
!ellperiods!tt!461!
!ellsigma!tt!461!
!ellsub!tt!461!
!ellsub!tt!461!
!elltamagawa!tt!461!
!elltamagawa!tt!461!
!elltaniyama!tt!461!
!seriesprecision!tt!461!
!Weil curve!rm!462!
!elltaniyama!tt!462!
!elltatepairing!tt!462!
!elltatepairing!tt!462!
!elltors!tt!462!
!elltors!tt!462!
!elltwist!tt!462!
!elltwist!tt!462!
!ellweilcurve!tt!462!
!mslattice!tt!462!
!ellweilcurve!tt!463!
!ellweilpairing!tt!463!
!ellweilpairing!tt!463!
!ellwp!tt!463!
!ellperiods!tt!463!
!ellwp0!tt!464!
!ellwp!tt!464!
!ellwpseries!tt!464!
!ellxn!tt!464!
!ellxn!tt!465!
!ellzeta!tt!465!
!ellperiods!tt!465!
!elleta!tt!465!
!ellzeta!tt!465!
!ellztopoint!tt!465!
!Weierstrass $\wp$-\EFF {}unction!rm!466!
!pointell!tt!466!
!genus2red!tt!466!
!genus2red!tt!468!
!hyperellcharpoly!tt!468!
!hyperellcharpoly!tt!468!
!hyperellpadic\EFF {}robenius!tt!468!
!hyperellpadic\EFF {}robenius!tt!468!
!hyperellratpoints!tt!468!
!hyperellratpoints!tt!469!
!realprecision!tt!470!
!realbitprecision!tt!470!
!realbitprecision!tt!470!
!Lmath!tt!470!
!Ldata!tt!470!
!l\EFF {}uncreate!tt!470!
!Linit!tt!471!
!l\EFF {}uninit!tt!471!
!l\EFF {}unthetainit!tt!471!
!znconreychar!tt!471!
!character!it!472!
!znconreylog!tt!472!
!character!it!472!
!l\EFF {}unartin!tt!473!
!l\EFF {}unetaquo!tt!473!
!l\EFF {}un!tt!474!
!realbitprecision!tt!474!
!realprecision!tt!474!
!l\EFF {}un0!tt!474!
!l\EFF {}unabelianrelinit!tt!474!
!l\EFF {}uninit!tt!474!
!l\EFF {}unabelianrelinit!tt!475!
!l\EFF {}unan!tt!475!
!l\EFF {}unan!tt!475!
!l\EFF {}unartin!tt!475!
!l\EFF {}unartin!tt!476!
!l\EFF {}uncheck\EFF {}eq!tt!476!
!l\EFF {}uncheck\EFF {}eq!tt!477!
!l\EFF {}unconductor!tt!477!
!l\EFF {}unconductor!tt!478!
!l\EFF {}uncost!tt!478!
!gammamellininv!tt!478!
!l\EFF {}uncost0!tt!479!
!l\EFF {}uncost!tt!479!
!l\EFF {}uncreate!tt!479!
!Ldata!tt!479!
!l\EFF {}uncreate!tt!481!
!l\EFF {}undiv!tt!481!
!l\EFF {}undiv!tt!481!
!l\EFF {}unetaquo!tt!481!
!l\EFF {}unetaquo!tt!482!
!l\EFF {}ungenus2!tt!482!
!l\EFF {}ungenus2!tt!482!
!l\EFF {}unhardy!tt!482!
!l\EFF {}unhardy!tt!482!
!l\EFF {}uninit!tt!482!
!l\EFF {}uninit0!tt!483!
!l\EFF {}unlambda!tt!483!
!l\EFF {}unlambda0!tt!483!
!l\EFF {}unm\EFF {}spec!tt!483!
!l\EFF {}unm\EFF {}spec!tt!483!
!l\EFF {}unmul!tt!483!
!l\EFF {}unmul!tt!483!
!l\EFF {}unorderzero!tt!483!
!l\EFF {}unorderzero!tt!484!
!l\EFF {}unq\EFF {}!tt!484!
!l\EFF {}unq\EFF {}!tt!484!
!l\EFF {}unrootres!tt!484!
!l\EFF {}unrootres!tt!484!
!l\EFF {}unsympow!tt!484!
!l\EFF {}unsympow!tt!484!
!l\EFF {}untheta!tt!484!
!l\EFF {}untheta!tt!485!
!l\EFF {}unthetacost!tt!485!
!l\EFF {}unthetacost0!tt!485!
!l\EFF {}unthetainit!tt!485!
!l\EFF {}unthetainit!tt!486!
!l\EFF {}untwist!tt!486!
!l\EFF {}untwist!tt!486!
!l\EFF {}unzeros!tt!486!
!l\EFF {}unzeros!tt!487!
!getcache!tt!488!
!getcache!tt!489!
!l\EFF {}unm\EFF {}!tt!489!
!l\EFF {}unm\EFF {}!tt!489!
!m\EFF {}Delta!tt!489!
!m\EFF {}Delta!tt!489!
!m\EFF {}EH!tt!489!
!m\EFF {}EH!tt!489!
!m\EFF {}Ek!tt!489!
!m\EFF {}Ek!tt!490!
!m\EFF {}Theta!tt!490!
!m\EFF {}Theta!tt!490!
!m\EFF {}atkin!tt!490!
!m\EFF {}atkin!tt!490!
!m\EFF {}atkineigenvalues!tt!490!
!m\EFF {}atkineigenvalues!tt!491!
!m\EFF {}atkininit!tt!491!
!m\EFF {}atkininit!tt!491!
!m\EFF {}basis!tt!491!
!m\EFF {}basis!tt!492!
!m\EFF {}bd!tt!492!
!m\EFF {}bd!tt!492!
!m\EFF {}bracket!tt!492!
!m\EFF {}bracket!tt!492!
!m\EFF {}coe\EFF {}!tt!492!
!m\EFF {}coe\EFF {}!tt!492!
!m\EFF {}coe\EFF {}s!tt!492!
!m\EFF {}coe\EFF {}s!tt!493!
!m\EFF {}conductor!tt!493!
!m\EFF {}conductor!tt!493!
!m\EFF {}cosets!tt!493!
!m\EFF {}cosets!tt!493!
!m\EFF {}cuspisregular!tt!493!
!m\EFF {}cuspisregular!tt!493!
!m\EFF {}cusps!tt!494!
!m\EFF {}cusps!tt!494!
!m\EFF {}cuspval!tt!494!
!m\EFF {}cuspval!tt!494!
!m\EFF {}cuspwidth!tt!494!
!m\EFF {}cuspwidth!tt!494!
!m\EFF {}deriv!tt!495!
!m\EFF {}deriv!tt!495!
!m\EFF {}derivE2!tt!495!
!m\EFF {}derivE2!tt!495!
!m\EFF {}describe!tt!495!
!m\EFF {}describe!tt!496!
!m\EFF {}dim!tt!496!
!m\EFF {}dim!tt!496!
!m\EFF {}div!tt!496!
!m\EFF {}div!tt!497!
!m\EFF {}eigenbasis!tt!497!
!m\EFF {}eigenbasis!tt!498!
!m\EFF {}eigensearch!tt!498!
!m\EFF {}eigensearch!tt!498!
!m\EFF {}eisenstein!tt!498!
!m\EFF {}eisenstein!tt!499!
!m\EFF {}embed!tt!499!
!m\EFF {}embed0!tt!500!
!m\EFF {}eval!tt!500!
!m\EFF {}eval!tt!500!
!m\EFF {}\EFF {}ields!tt!500!
!m\EFF {}\EFF {}ields!tt!501!
!m\EFF {}\EFF {}romell!tt!501!
!m\EFF {}\EFF {}romell!tt!501!
!m\EFF {}\EFF {}rometaquo!tt!501!
!m\EFF {}\EFF {}rometaquo!tt!502!
!m\EFF {}\EFF {}roml\EFF {}un!tt!502!
!m\EFF {}\EFF {}roml\EFF {}un!tt!503!
!m\EFF {}\EFF {}romq\EFF {}!tt!503!
!m\EFF {}\EFF {}romq\EFF {}!tt!503!
!m\EFF {}galoistype!tt!503!
!m\EFF {}galoistype!tt!504!
!m\EFF {}hecke!tt!504!
!m\EFF {}hecke!tt!505!
!m\EFF {}heckemat!tt!505!
!m\EFF {}heckemat!tt!505!
!m\EFF {}init!tt!505!
!m\EFF {}init!tt!506!
!m\EFF {}isCM!tt!506!
!m\EFF {}isCM!tt!506!
!m\EFF {}isequal!tt!506!
!m\EFF {}isequal!tt!506!
!m\EFF {}kohnenbasis!tt!507!
!m\EFF {}kohnenbasis!tt!507!
!m\EFF {}kohnenbijection!tt!507!
!m\EFF {}kohnenbijection!tt!508!
!m\EFF {}kohneneigenbasis!tt!508!
!m\EFF {}kohneneigenbasis!tt!509!
!m\EFF {}linear!tt!509!
!m\EFF {}linear!tt!510!
!m\EFF {}manin!tt!510!
!m\EFF {}manin!tt!510!
!m\EFF {}mul!tt!510!
!m\EFF {}mul!tt!510!
!m\EFF {}numcusps!tt!510!
!m\EFF {}numcusps!tt!510!
!m\EFF {}params!tt!510!
!m\EFF {}params!tt!511!
!m\EFF {}periodpol!tt!511!
!m\EFF {}periodpol!tt!511!
!m\EFF {}periodpolbasis!tt!511!
!m\EFF {}periodpolbasis!tt!511!
!m\EFF {}petersson!tt!511!
!m\EFF {}petersson!tt!512!
!m\EFF {}pow!tt!513!
!m\EFF {}pow!tt!513!
!m\EFF {}search!tt!513!
!m\EFF {}search!tt!513!
!m\EFF {}shi\EFF {}t!tt!513!
!m\EFF {}shi\EFF {}t!tt!513!
!m\EFF {}shimura!tt!513!
!m\EFF {}shimura!tt!514!
!m\EFF {}slashexpansion!tt!514!
!m\EFF {}slashexpansion!tt!515!
!m\EFF {}space!tt!515!
!m\EFF {}space!tt!516!
!m\EFF {}split!tt!516!
!m\EFF {}split!tt!517!
!m\EFF {}sturm!tt!517!
!m\EFF {}init!tt!517!
!m\EFF {}sturm!tt!517!
!m\EFF {}symbol!tt!517!
!m\EFF {}symbol!tt!518!
!m\EFF {}symboleval!tt!518!
!m\EFF {}symboleval!tt!518!
!m\EFF {}taylor!tt!518!
!m\EFF {}taylor!tt!519!
!m\EFF {}tobasis!tt!519!
!m\EFF {}tobasis!tt!520!
!m\EFF {}tocoset!tt!520!
!m\EFF {}tocoset!tt!520!
!m\EFF {}tonew!tt!520!
!m\EFF {}tonew!tt!520!
!m\EFF {}trace\EFF {}orm!tt!520!
!m\EFF {}trace\EFF {}orm!tt!520!
!m\EFF {}twist!tt!520!
!m\EFF {}twist!tt!521!
!msinit!tt!521!
!msatkinlehner!tt!521!
!msatkinlehner!tt!522!
!mscuspidal!tt!522!
!mscuspidal!tt!522!
!msdim!tt!522!
!msdim!tt!523!
!mseisenstein!tt!523!
!mseisenstein!tt!523!
!mseval!tt!523!
!mspathgens!tt!523!
!mseval!tt!524!
!ms\EFF {}romcusp!tt!524!
!ms\EFF {}romcusp!tt!525!
!ms\EFF {}romell!tt!525!
!ms\EFF {}romell!tt!526!
!ms\EFF {}romhecke!tt!526!
!ms\EFF {}romhecke!tt!526!
!msgetlevel!tt!526!
!msgetlevel!tt!526!
!msgetsign!tt!526!
!msgetsign!tt!527!
!msgetweight!tt!527!
!msgetweight!tt!527!
!mshecke!tt!527!
!mshecke!tt!527!
!msinit!tt!527!
!msinit!tt!528!
!msissymbol!tt!528!
!msissymbol!tt!529!
!mslattice!tt!529!
!mslattice!tt!530!
!msnew!tt!530!
!msnew!tt!530!
!msomseval!tt!530!
!msomseval!tt!530!
!mspadicL!tt!530!
!mspadicmoments!tt!530!
!mstooms!tt!531!
!mspadicL!tt!532!
!mspadicinit!tt!532!
!mspadicinit!tt!532!
!mspadicmoments!tt!532!
!mspadicL!tt!532!
!mspadicseries!tt!532!
!mspadicmoments!tt!533!
!mspadicseries!tt!533!
!mspadicseries!tt!534!
!mspathgens!tt!534!
!mspathgens!tt!535!
!mspathlog!tt!535!
!mspathgens!tt!535!
!mspathlog!tt!536!
!mspetersson!tt!536!
!mspetersson!tt!537!
!mspolygon!tt!537!
!mspolygon!tt!538!
!msqexpansion!tt!539!
!mssplit!tt!539!
!msqexpansion!tt!539!
!mssplit!tt!539!
!mssplit!tt!539!
!msstar!tt!539!
!msstar!tt!540!
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The End