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 algcenter
  algcentralproj algchar algcharpoly algdegree algdep
  algdim algdisc algdivl algdivr alggroup
  alggroupcenter alghasse alghassef alghassei algindex
  alginit alginv alginvbasis algisassociative algiscommutative
  algisdivision algisdivl algisinv algisramified algissemisimple
  algissimple algissplit alglatadd alglatcontains alglatelement
  alglathnf alglatindex alglatinter alglatlefttransporter alglatmul
  alglatrighttransporter alglatsubset algmakeintegral algmul algmultable
  algneg algnorm algpoleval algpow algprimesubalg
  algquotient algradical algramifiedplaces algrandom algrelmultable
  algsimpledec 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 bitneg bitnegimply
  bitor bitprecision 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
E Equality Euler echo eint1 ell2cover
  ellE ellK ellL1 elladd ellak
  ellan ellanalyticrank ellap ellbil ellbsd
  ellcard ellchangecurve ellchangepoint ellchangepointinv 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 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 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
  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 hyperellchangecurve hyperellcharpoly
  hyperelldisc hyperellisoncurve hyperellminimaldisc hyperellminimalmodel hyperellordinate
  hyperellpadicfrobenius 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 listcreate listinsert listkill 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 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 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 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 thetanullk threadsize threadsizemax
  thue thueinit timer trace trap
  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