Pari/GP Reference Documentation
Contents
-
Global index
-
GP keyboard shortcuts
Index
A
abs
acos
acosh
addhelp
addprimes
agm
alarm
algabsdim
algadd
algalgtobasis
algaut
algb
algbasis
algbasistoalg
algcenter
algcentralproj
algchar
algcharpoly
algdecomposition
algdegree
algdep
algdim
algdisc
algdivl
algdivr
alggroup
alghasse
alghassef
alghassei
algindex
alginit
alginv
alginvbasis
algisassociative
algiscommutative
algisdivision
algisdivl
algisinv
algisramified
algissemisimple
algissimple
algissplit
alglathnf
algleftmultable
algmul
algmultable
algneg
algnorm
algpoleval
algpow
algprimesubalg
algquotient
algradical
algramifiedplaces
algrandom
algrelmultable
algsimpledec
algsplittingdata
algsplittingfield
algsplittingmatrix
algsqr
algsub
algsubalg
algtableinit
algtensor
algtrace
algtype
alias
allocatemem
apply
arg
asin
asinh
asympnum
atan
atanh
B
bernfrac
bernpol
bernreal
bernvec
besselh1
besselh2
besseli
besselj
besseljh
besselk
besseln
bestapprPade
bestappr
bezout
bezoutres
bigomega
binary
binomial
bitand
bitneg
bitnegimply
bitor
bitprecision
bittest
bitxor
bnfcertify
bnfcompress
bnfdecodemodule
bnfinit
bnfisintnorm
bnfisnorm
bnfisprincipal
bnfissunit
bnfisunit
bnflog
bnflogdegree
bnflogef
bnfnarrow
bnfsignunit
bnfsunit
bnrL1
bnrchar
bnrclassno
bnrclassnolist
bnrconductor
bnrconductorofchar
bnrdisc
bnrdisclist
bnrgaloisapply
bnrgaloismatrix
bnrinit
bnrisconductor
bnrisgalois
bnrisprincipal
bnrrootnumber
bnrstark
break
breakloop
breakpoint
C
Catalan
Col
Colrev
call
ceil
centerlift
characteristic
charconj
chardiv
chareval
charker
charmul
charorder
charpoly
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
derivnum
diffop
digits
dilog
dirdiv
direuler
dirmul
dirzetak
divisors
divrem
E
Euler
echo
eint1
ellL1
elladd
ellak
ellan
ellanalyticrank
ellap
ellbil
ellcard
ellchangecurve
ellchangepoint
ellchangepointinv
ellconvertname
elldivpol
elleisnum
elleta
ellformaldifferential
ellformalexp
ellformallog
ellformalpoint
ellformalw
ellfromeqn
ellfromj
ellgenerators
ellglobalred
ellgroup
ellheegner
ellheight
ellheightmatrix
ellidentify
ellinit
ellintegralmodel
ellisdivisible
ellisogeny
ellisogenyapply
ellisomat
ellisoncurve
ellissupersingular
ellj
elllocalred
elllog
elllseries
ellminimalmodel
ellminimaltwist
ellmoddegree
ellmodulareqn
ellmul
ellneg
ellnonsingularmultiple
ellorder
ellordinate
ellpadicL
ellpadicfrobenius
ellpadicheight
ellpadicheightmatrix
ellpadiclog
ellpadics2
ellperiods
ellpointtoz
ellpow
ellrootno
ellsea
ellsearch
ellsigma
ellsub
elltamagawa
elltaniyama
elltatepairing
elltors
elltwist
ellweilpairing
ellwp
ellxn
ellzeta
ellztopoint
erfc
errname
error
eta
eulerphi
eval
exp
expm1
extern
externstr
F
factor
factor_add_primes
factor_proven
factorback
factorcantor
factorff
factorial
factorint
factormod
factornf
factorpadic
ffgen
ffinit
fflog
ffnbirred
fforder
ffprimroot
fibonacci
floor
fold
for
forcomposite
fordiv
forell
format
forpart
forprime
forqfvec
forstep
forsubgroup
forvec
frac
fromdigits
G
galoisexport
galoisfixedfield
galoisgetpol
galoisidentify
galoisinit
galoisisabelian
galoisisnormal
galoispermtopol
galoissubcyclo
galoissubfields
galoissubgroups
gamma
gammah
gammamellininv
gammamellininvasymp
gammamellininvinit
gcd
gcdext
genus2red
getabstime
getenv
getheap
getrand
getstack
gettime
getwalltime
global
graphcolormap
graphcolors
H
hammingweight
help
hilbert
histfile
histsize
hyperellcharpoly
hyperellpadicfrobenius
hyperu
I
I
idealadd
idealaddtoone
idealappr
idealchinese
idealcoprime
idealdiv
idealfactor
idealfactorback
idealfrobenius
idealhnf
idealintersect
idealinv
ideallist
ideallistarch
ideallog
idealmin
idealmul
idealnorm
idealnumden
idealpow
idealprimedec
idealprincipalunits
idealramgroups
idealred
idealstar
idealtwoelt
idealval
if
iferr
imag
incgam
incgamc
inline
input
install
intcirc
intformal
intfuncinit
intnum
intnumgauss
intnumgaussinit
intnuminit
intnumromb
isfundamental
ispolygonal
ispower
ispowerful
isprime
isprimepower
ispseudoprime
ispseudoprimepower
issquare
issquarefree
istotient
K
kill
kronecker
L
List
lambertw
lcm
length
lex
lfun
lfunabelianrelinit
lfunan
lfunartin
lfuncheckfeq
lfunconductor
lfuncost
lfuncreate
lfundiv
lfunetaquo
lfungenus2
lfunhardy
lfuninit
lfunlambda
lfunmfspec
lfunmul
lfunorderzero
lfunqf
lfunrootres
lfuntheta
lfunthetacost
lfunthetainit
lfunzeros
lift
liftall
liftint
liftpol
limitnum
lindep
lines
linewrap
listcreate
listinsert
listkill
listpop
listput
listsort
lngamma
localbitprec
localprec
log
log
logfile
logint
M
Map
Mat
Mod
mapdelete
mapget
mapisdefined
mapput
matadjoint
matalgtobasis
matbasistoalg
matcompanion
matconcat
matdet
matdetint
matdiagonal
mateigen
matfrobenius
mathess
mathilbert
mathnf
mathnfmod
mathnfmodid
mathouseholder
matid
matimage
matimagecompl
matindexrank
matintersect
matinverseimage
matisdiagonal
matker
matkerint
matmuldiagonal
matmultodiagonal
matpascal
matpermanent
matqr
matrank
matrix
matrixqz
matsize
matsnf
matsolve
matsolvemod
matsupplement
mattranspose
max
min
minpoly
modreverse
moebius
msatkinlehner
mscuspidal
mseisenstein
mseval
msfromcusp
msfromell
msfromhecke
msgetlevel
msgetsign
msgetweight
mshecke
msinit
msissymbol
msnew
msomseval
mspadicL
mspadicinit
mspadicmoments
mspadicseries
mspathgens
mspathlog
msqexpansion
mssplit
msstar
mstooms
N
nbthreads
new_galois_format
newtonpoly
next
nextprime
nfalgtobasis
nfbasis
nfbasistoalg
nfcertify
nfcompositum
nfdetint
nfdisc
nfeltadd
nfeltdiv
nfeltdiveuc
nfeltdivmodpr
nfeltdivrem
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
nfmodpr
nfmodprinit
nfmodprlift
nfnewprec
nfroots
nfrootsof1
nfsnf
nfsolvemodpr
nfsplitting
nfsubfields
norm
norml2
normlp
numbpart
numdiv
numerator
numtoperm
O
O
omega
oo
output
P
Pi
Pol
Polrev
padicappr
padicfields
padicprec
parapply
pareval
parfor
parforprime
parforvec
parisize
parisizemax
parselect
parsum
partitions
parvector
path
permtonum
plot
plotbox
plotclip
plotcolor
plotcopy
plotcursor
plotdraw
ploth
plothraw
plothsizes
plotinit
plotkill
plotlines
plotlinetype
plotmove
plotpoints
plotpointsize
plotpointtype
plotrbox
plotrecth
plotrecthraw
plotrline
plotrmove
plotrpoint
plotscale
plotstring
polchebyshev
polclass
polcoeff
polcompositum
polcyclo
polcyclofactors
poldegree
poldisc
poldiscreduced
polgalois
polgraeffe
polhensellift
polhermite
polinterpolate
poliscyclo
poliscycloprod
polisirreducible
pollead
pollegendre
polmodular
polrecip
polred
polredabs
polredbest
polredord
polresultant
polresultantext
polroots
polrootsff
polrootsmod
polrootspadic
polrootsreal
polsturm
polsubcyclo
polsylvestermatrix
polsym
poltchebi
poltschirnhaus
polylog
polzagier
powers
precision
precprime
prettyprinter
prime
primelimit
primepi
primes
print1
print
printf
printsep1
printsep
printtex
prod
prodeuler
prodinf
prompt
prompt_cont
psdraw
psfile
psi
psploth
psplothraw
Q
Qfb
qfauto
qfautoexport
qfbclassno
qfbcompraw
qfbhclassno
qfbil
qfbnucomp
qfbnupow
qfbpowraw
qfbprimeform
qfbred
qfbredsl2
qfbsolve
qfeval
qfgaussred
qfisom
qfisominit
qfjacobi
qflll
qflllgram
qfminim
qfnorm
qforbits
qfparam
qfperfection
qfrep
qfsign
qfsolve
quadclassunit
quaddisc
quadgen
quadhilbert
quadpoly
quadray
quadregulator
quadunit
quit
R
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
round
S
Ser
Set
Str
Strchr
Strexpand
Strprintf
Strtex
secure
select
self
seralgdep
serconvol
seriesprecision
serlaplace
serprec
serreverse
setbinop
setintersect
setisset
setminus
setrand
setsearch
setunion
shift
shiftmul
sigma
sign
simplify
simplify
sin
sinc
sinh
sizebyte
sizedigit
solve
solvestep
sopath
sqr
sqrt
sqrtint
sqrtn
sqrtnint
stirling
strictargs
strictmatch
subgrouplist
subst
substpol
substvec
sum
sumalt
sumdedekind
sumdigits
sumdiv
sumdivmult
sumformal
suminf
sumnum
sumnumap
sumnumapinit
sumnuminit
sumnummonien
sumnummonieninit
sumpos
system
T
TeXstyle
tan
tanh
taylor
teichmuller
theta
thetanullk
threadsize
threadsizemax
thue
thueinit
timer
trace
trap
truncate
type
U
uninline
until
V
Vec
Vecrev
Vecsmall
valuation
varhigher
variable
variables
varlower
vecextract
vecmax
vecmin
vecsearch
vecsort
vecsum
vector
vectorsmall
vectorv
version
W
warning
weber
whatnow
while
write1
write
writebin
writetex
Z
zeta
zetamult
zetamultall
zetamultconvert
zncharinduce
zncharisodd
znchartokronecker
znconreychar
znconreyconductor
znconreyexp
znconreylog
zncoppersmith
znlog
znorder
znprimroot
znstar