Pari/GP Reference Documentation HOME Contents - Global index - GP keyboard shortcuts

Index

A abs acos acosh addhelp addprimes
  agm airy alarm algadd algalgtobasis
  algaut algb algbasis algbasistoalg algbasistoquat
  algcenter algcentralproj algchar algcharpoly algdegree
  algdep algdim algdisc algdivl algdivr
  algeichlerbasis algeltfromnf alggroup alggroupcenter alghasse
  alghassef alghassei algindex alginit alginv
  alginvbasis alginvol algisassociative algiscommutative algisdivision
  algisdivl algisinv algisisom algisquatalg algisramified
  algissemisimple algissimple algissplit alglatadd alglatcontains
  alglatelement alglathnf alglatindex alglatinter alglatlefttransporter
  alglatmul alglatrighttransporter alglatsubset algmakeintegral algmodpr
  algmodprinit algmodprlift algmul algmultable algneg
  algnewprec algnorm algpoleval algpow algprimesubalg
  algquattobasis algquotient algradical algramifiedplaces algrandom
  algrelmultable algsimpledec algskolemnoether algsplit algsplittingdata
  algsplittingfield algsqr algsub algsubalg algtableinit
  algtensor algtomatrix algtrace algtype alias
  allocatemem apply arg arity asin
  asinh asympnum asympnumraw atan atanh
B bernfrac bernpol bernreal bernvec besselh1
  besselh2 besseli besselj besseljh besseljzero
  besselk besseln bessely besselyzero bestapprPade
  bestappr bestapprnf bezout bezoutres bigomega
  binary binomial bitand bitclear bitflip
  bitneg bitnegimply bitor bitprecision bitset
  bittest bitxor bnfcertify bnfdecodemodule bnfinit
  bnfisintnorm bnfisnorm bnfisprincipal bnfissunit bnfisunit
  bnflog bnflogdegree bnflogef bnfnarrow bnfsignunit
  bnfsunit bnfunits bnrL1 bnrchar bnrclassfield
  bnrclassno bnrclassnolist bnrcompositum bnrconductor bnrconductorofchar
  bnrdisc bnrdisclist bnrgaloisapply bnrgaloismatrix bnrinit
  bnrisconductor bnrisgalois bnrisprincipal bnrmap bnrrootnumber
  bnrstark bnrstarkunit break breakloop breakpoint
C Catalan Col Colrev Comparison call
  ceil centerlift characteristic charconj chardiv
  chareval chargalois charker charmul charorder
  charpoly charpow chinese cmp colors
  compatible component concat conj conjvec
  content contfrac contfraceval contfracinit contfracpnqn
  core coredisc cos cosh cotan
  cotanh        
D datadir dbg_down dbg_err dbg_up dbg_x
  debug debugfiles debugmem default denominator
  deriv derivn derivnum diffop digits
  dilog dirdiv direuler dirmul dirpowers
  dirpowerssum dirzetak divisors divisorslenstra divrem
  doctest        
E Equality Euler echo eint1 ell2cover
  ellE ellK ellL1 elladd ellak
  ellan ellanalyticrank ellap ellbil ellbsd
  ellcard ellchangecompose ellchangecurve ellchangeinvert ellchangepoint
  ellchangepointinv ellcharpoly ellconvertname elldivpol elleisnum
  elleta ellformaldifferential ellformalexp ellformallog ellformalpoint
  ellformalw ellfromeqn ellfromj ellgenerators ellglobalred
  ellgroup ellheegner ellheight ellheightmatrix ellidentify
  ellinit ellintegralmodel elliscm ellisdivisible ellisisom
  ellisogeny ellisogenyapply ellisomat ellisoncurve ellisotree
  ellissupersingular ellj elljacobi elllocalred elllog
  elllseries ellmaninconstant ellminimaldisc ellminimalmodel ellminimaltwist
  ellmoddegree ellmodulareqn ellmul ellneg ellnonsingularmultiple
  ellorder ellordinate ellpadicL ellpadicbsd ellpadicfrobenius
  ellpadicheight ellpadicheightmatrix ellpadiclambdamu ellpadiclog ellpadicregulator
  ellpadics2 ellperiods ellpointtoz ellpow ellrank
  ellrankinit ellratpoints ellrootno ellsaturation ellsea
  ellsearch ellsigma ellsub ellsupersingularj elltamagawa
  elltaniyama elltatepairing elltors elltrace elltwist
  ellweilcurve ellweilpairing ellwp ellxn ellzeta
  ellztopoint erfc errname error eta
  eulerfrac eulerianpol eulerphi eulerpol eulerreal
  eulervec eval exp expm1 exponent
  export exportall extern externstr  
F factor factor_add_primes factor_proven factorback factorcantor
  factorff factorial factorint factorlimit factormodDDF
  factormodSQF factormod factormodcyclo factornf factorpadic
  ffcompomap ffembed ffextend fffrobenius ffgen
  ffinit ffinvmap fflog ffmap ffmaprel
  ffnbirred fforder ffprimroot fft fftinv
  fibonacci fileclose fileextern fileflush fileopen
  fileread filereadstr filewrite1 filewrite fingerprint
  floor fold for forcomposite fordiv
  fordivfactored foreach forell forfactored format
  forpart forperm forprime forprimestep forqfvec
  forsquarefree forstep forsubgroup forsubset forvec
  frac fromdigits      
G galoischardet galoischarpoly galoischartable galoisconjclasses galoisexport
  galoisfixedfield galoisgetgroup galoisgetname galoisgetpol galoisidentify
  galoisinit galoisisabelian galoisisnormal galoispermtopol galoissplittinginit
  galoissubcyclo galoissubfields galoissubgroups gamma gammah
  gammamellininv gammamellininvasymp gammamellininvinit gcd gcdext
  gcharalgebraic gcharconductor gcharduallog gchareval gcharidentify
  gcharinit gcharisalgebraic gcharlocal gcharlog gcharnewprec
  genus2charpoly genus2igusa genus2red getabstime getcache
  getenv getheap getlocalbitprec getlocalprec getrand
  getstack gettime getwalltime global graphcolormap
  graphcolors        
H halfgcd hammingweight harmonic help hgmalpha
  hgmbydegree hgmcoef hgmcoefs hgmcyclo hgmeulerfactor
  hgmgamma hgminit hgmissymmetrical hgmparams hgmtwist
  hilbert histfile histsize hyperellauto hyperellchangecompose
  hyperellchangecurve hyperellchangeinvert hyperellchangepoint hyperellchangepointinv hyperellcharpoly
  hyperelldisc hyperellextremalmodels hyperellisisom hyperellisoncurve hyperellminimaldisc
  hyperellminimalmodel hyperellordinate hyperellpadicfrobenius hyperellperiods hyperellratpoints
  hyperellred hypergeom hyperu    
I I idealadd idealaddtoone idealappr idealchinese
  idealcoprime idealdiv idealdown idealfactor idealfactorback
  idealfrobenius idealhnf idealintersect idealinv idealismaximal
  idealispower ideallist ideallistarch ideallog idealmin
  idealmul idealnorm idealnumden idealpow idealprimedec
  idealprincipalunits idealramgroups idealred idealredmodpower idealstar
  idealtwoelt idealval if iferr imag
  incgam incgamc inline input install
  intcirc intformal intfuncinit intnum intnumgauss
  intnumgaussinit intnuminit intnumosc intnumromb isfundamental
  ispolygonal ispower ispowerful isprime isprimepower
  ispseudoprime ispseudoprimepower issquare issquarefree istotient
K kill kronecker      
L List lambertw laurentseries lcm length
  lerchphi lerchzeta lex lfun lfunan
  lfunartin lfuncheckfeq lfunconductor lfuncost lfuncreate
  lfundiv lfundual lfunetaquo lfuneuler lfungenus2
  lfunhardy lfunhgm lfuninit lfunlambda lfunmf
  lfunmfspec lfunmul lfunorderzero lfunparams lfunqf
  lfunrootres lfunshift lfunsympow lfuntheta lfunthetacost
  lfunthetainit lfuntwist lfunzeros lift liftall
  liftint liftpol limitnum lindep lines
  linewrap listinsert listpop listput listsort
  lngamma localbitprec localprec log1p log
  log logfile logint    
M Map Mat Mod Motives mapapply
  mapdelete mapget mapisdefined mapput matadjoint
  matalgtobasis matbasistoalg matcompanion matconcat matdet
  matdetint matdetmod matdiagonal mateigen matfrobenius
  mathess mathilbert mathnf mathnfmod mathnfmodid
  mathouseholder matid matimage matimagecompl matimagemod
  matindexrank matintersect matinverseimage matinvmod matisdiagonal
  matker matkerint matkermod matmodhnf matmuldiagonal
  matmultodiagonal matpascal matpermanent matqr matrank
  matreduce matrix matrixqz matsize matsnf
  matsolve matsolvemod matsupplement mattranspose max
  mfDelta mfEH mfEk mfTheta mfatkin
  mfatkineigenvalues mfatkininit mfbasis mfbd mfbracket
  mfcoef mfcoefs mfconductor mfcosets mfcuspisregular
  mfcusps mfcuspval mfcuspwidth mfderivE2 mfderiv
  mfdescribe mfdim mfdiv mfeigenbasis mfeigensearch
  mfeisenstein mfembed mfeval mffields mffromell
  mffrometaquo mffromlfun mffromqf mfgaloisprojrep mfgaloistype
  mfhecke mfheckemat mfinit mfisCM mfisequal
  mfisetaquo mfkohnenbasis mfkohnenbijection mfkohneneigenbasis mflinear
  mfmanin mfmul mfnumcusps mfparams mfperiodpol
  mfperiodpolbasis mfpetersson mfpow mfsearch mfshift
  mfshimura mfslashexpansion mfspace mfsplit mfsturm
  mfsymbol mfsymboleval mftaylor mftobasis mftocoset
  mftonew mftraceform mftwist min minpoly
  modreverse moebius msatkinlehner mscosets mscuspidal
  msdim mseisenstein mseval msfarey msfromcusp
  msfromell msfromhecke msgetlevel msgetsign msgetweight
  mshecke msinit msissymbol mslattice msnew
  msomseval mspadicL mspadicinit mspadicmoments mspadicseries
  mspathgens mspathlog mspetersson mspolygon msqexpansion
  mssplit msstar mstooms    
N nbthreads new_galois_format newtonpoly next nextprime
  nfalgtobasis nfbasis nfbasistoalg nfcertify nfcompositum
  nfdetint nfdisc nfdiscfactors nfeltadd nfeltdiv
  nfeltdiveuc nfeltdivmodpr nfeltdivrem nfeltembed nfeltispower
  nfeltissquare nfeltmod nfeltmul nfeltmulmodpr nfeltnorm
  nfeltpow nfeltpowmodpr nfeltreduce nfeltreducemodpr nfeltsign
  nfelttrace nfeltval nffactor nffactorback nffactormod
  nfgaloisapply nfgaloisconj nfgrunwaldwang nfhilbert nfhnf
  nfhnfmod nfinit nfisideal nfisincl nfisisom
  nfislocalpower nfkermodpr nflist nfmodpr nfmodprinit
  nfmodprlift nfnewprec nfpolsturm nfresolvent nfroots
  nfrootsof1 nfsnf nfsolvemodpr nfsplitting nfsubfields
  nfsubfieldscm nfsubfieldsmax nfweilheight norm norml2
  normlp numbpart numdiv numerator numtoperm
O O omega oo op= output
P Pi Pol Polrev padicappr padicfields
  padicprec parapply pareval parfor parforeach
  parforprime parforprimestep parforstep parforvec parisize
  parisizemax parmatrix parploth parplothexport parselect
  parsum partitions parvector path permcycles
  permorder permsign permtonum plot plotarc
  plotbox plotclip plotcolor plotcopy plotcursor
  plotdraw plotexport ploth plothexport plothraw
  plothrawexport plothsizes plothsizes plotinit plotkill
  plotlines plotlinetype plotmove plotpoints plotpointsize
  plotpointtype plotrbox plotrecth plotrecthraw plotrline
  plotrmove plotrpoint plotscale plotstring polchebyshev
  polclass polcoef polcoeff polcompositum polcyclo
  polcyclofactors poldegree poldisc poldiscfactors poldiscreduced
  polfromroots polgalois polgraeffe polhensellift polhermite
  polinterpolate polisclass poliscyclo poliscycloprod polisirreducible
  pollaguerre pollead pollegendre polmodular polrecip
  polred polredabs polredbest polredord polresultant
  polresultantext polroots polrootsbound polrootsff polrootsmod
  polrootspadic polrootsreal polsturm polsubcyclo polsubcyclofast
  polsylvestermatrix polsym poltchebi polteichmuller poltomonic
  poltschirnhaus polylog polylogmult polzagier powers
  precision precprime prettyprinter prime primecert
  primecertexport primecertisvalid primeisregular primelimit primepi
  primes print1 print printf printp
  printsep1 printsep printtex prod prodeuler
  prodeulerrat prodinf prodnumrat prompt prompt_cont
  psdraw psfile psi psploth psplothraw
Q Qfb qfauto qfautoexport qfbclassno qfbcomp
  qfbcompraw qfbcornacchia qfbhclassno qfbil qfbnucomp
  qfbnupow qfbpow qfbpowraw qfbprimeform qfbred
  qfbredsl2 qfbsolve qfcholesky qfcvp qfeval
  qfgaussred qfisom qfisominit qfjacobi qflll
  qflllgram qfminim qfminimize qfnorm qforbits
  qfparam qfperfection qfrep qfsign qfsolve
  quadclassunit quaddisc quadgen quadhilbert quadpoly
  quadray quadregulator quadunit quadunitindex quadunitnorm
  quit        
R Reduction ramanujantau random randomprime read
  readline readstr readvec real realbitprecision
  realprecision recover removeprimes return rnfalgtobasis
  rnfbasis rnfbasistoalg rnfcharpoly rnfconductor rnfdedekind
  rnfdet rnfdisc rnfeltabstorel rnfeltdown rnfeltnorm
  rnfeltreltoabs rnfelttrace rnfeltup rnfequation rnfhnfbasis
  rnfidealabstorel rnfidealdown rnfidealfactor rnfidealhnf rnfidealmul
  rnfidealnormabs rnfidealnormrel rnfidealprimedec rnfidealreltoabs rnfidealtwoelt
  rnfidealup rnfinit rnfisabelian rnfisfree rnfislocalcyclo
  rnfisnorm rnfisnorminit rnfkummer rnflllgram rnfnormgroup
  rnfpolred rnfpolredabs rnfpolredbest rnfpseudobasis rnfsteinitz
  rootsof1 round      
S Ser Set Str Strchr Strexpand
  Strprintf Strtex secure select self
  seralgdep serchop serconvol serdiffdep seriesprecision
  serlaplace serprec serreverse setbinop setdebug
  setdelta setintersect setisset setminus setrand
  setsearch setunion shift shiftmul sigma
  sign simplify simplify sin sinc
  sinh sizebyte sizedigit snfrank solve
  solvestep sopath sqr sqrt sqrtint
  sqrtn sqrtnint stirling strchr strexpand
  strictargs strictmatch strjoin strprintf strsplit
  strtex strtime subcyclohminus subcycloiwasawa subcyclopclgp
  subgrouplist subst substpol substvec sum
  sumalt sumdedekind sumdigits sumdiv sumdivmult
  sumeulerrat sumformal suminf sumnum sumnumap
  sumnumapinit sumnuminit sumnumlagrange sumnumlagrangeinit sumnummonien
  sumnummonieninit sumnumrat sumnumsidi sumpos system
T TeXstyle Templates tan tanh taylor
  teichmuller theta thetanull thetanullk threadsize
  threadsizemax thue thueinit timer trace
  truncate type      
U unexport unexportall uninline until  
V Vec Vecrev Vecsmall valuation varhigher
  variable variables varlower vecextract vecmax
  vecmin vecprod vecsearch vecsort vecsum
  vector vectorsmall vectorv version  
W warning weber whatnow while write1
  write writebin writetex    
Z zeta zetahurwitz zetamult zetamultall zetamultconvert
  zetamultdual znchar zncharconductor znchardecompose znchargauss
  zncharinduce zncharisodd znchartokronecker znchartoprimitive znconreychar
  znconreyconductor znconreyexp znconreylog zncoppersmith znlog
  znorder znprimroot znstar znsubgroupgenerators