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- Standard monadic or dyadic operators.
- Conversions and similar elementary functions
- Transcendental functions.
- Arithmetic functions.
- Functions related to elliptic curves.
- Polynomials, power series and number fields.
- Vectors, matrices and linear algebra.
- Sums, products, integrals and similar functions.
- Plotting functions.
- Programming under GP
- ###Standard monadic or dyadic operators.
- +
- -
- *
- /
- \
- %
- divres
- ^
- shift
- shiftmul
- ==
- >=
- <=
- <
- >
- &&
- ||
- sign
- max
- min
- ###Conversions and similar elementary functions
- binary
- bittest
- ceil
- centerlift
- changevar
- conj
- cvtoi
- denom
- floor
- frac
- imag
- length
- lex
- lift
- matsize
- mod
- modp
- norm
- norml2
- numer
- permutation
- poly
- polyrev
- prec
- quadgen
- quadpoly
- random
- real
- rndtoi
- round
- rounderror
- setprecision
- setserieslength
- series
- simplify
- size
- trunc
- type
- valuation
- vec
- ###Transcendental functions.
- ^
- abs
- acos
- acosh
- agm
- arg
- asin
- asinh
- atan
- atanh
- bernreal
- bernvec
- cos
- cosh
- dilog
- eint1
- erfc
- eta
- euler
- exp
- gamh
- gamma
- hyperu
- incgam
- incgam3
- incgam4
- jbesselh
- jell
- kbessel
- ln
- lngamma
- logagm
- pi
- polylog
- polylogd
- polylogdold
- polylogp
- psi
- sin
- sinh
- sqr
- sqrt
- tan
- tanh
- teich
- wf
- wf2
- zeta
- ###Arithmetic functions.
- bezout
- bigomega
- bin
- boundfact
- boundcf
- buchimag
- buchreal
- cf
- cf2
- chinese
- classno
- compose
- comprealraw
- content
- divisors
- fact
- !
- factfq
- factmod
- factor
- fibo
- gcd
- hclassno
- hilb
- isfund
- isprime
- ispsp
- isqrt
- issqfree
- issquare
- kronecker
- lcm
- mu
- nextprime
- nucomp
- numdiv
- nupow
- omega
- order
- pf
- phi
- pnqn
- powrealraw
- prime
- primes
- primroot
- qfi
- qfr
- redcomp
- redreal
- redrealnod
- regula
- rhoreal
- rhorealnod
- sigma
- sigmak
- smallfact
- unit
- ###Functions related to elliptic curves.
- addell
- akell
- anell
- apell
- apell2
- chell
- chptell
- globalred
- hell
- hell2
- initell
- isoncurve
- localred
- lseriesell
- pointell
- matell
- ordell
- powell
- smallinitell
- subell
- zell
- ###Polynomials, power series and number fields.
- apprpadic
- base
- convol
- cyclo
- deriv
- disc
- discf
- eval
- factoredbase
- factoreddiscf
- factoredpolred
- factoredpolred2
- factornf
- factorpadic
- factpol
- galois
- galoisconj
- initalg
- integ
- isincl
- isisom
- laplace
- legendre
- modreverse
- newtonpoly
- ordred
- polint
- polred
- polred2
- polsym
- recip
- resultant
- resultant2
- reverse
- rootmod
- rootpadic
- roots
- rootslong
- rootsof1
- smallbase
- smalldiscf
- smallpolred
- smallpolred2
- sturm
- sturmpart
- subst
- taylor
- tchebi
- tchirnhausen
- ###Vectors, matrices and linear algebra.
- adj
- algdep
- char
- char1
- char2
- concat
- det
- det2
- eigen
- extract
- gauss
- hermite
- hess
- hilbert
- idmat
- indsort
- jacobi
- ker
- keri
- kerint
- kerint1
- kerint2
- kerr
- image
- indexrank
- intersect
- inverseimage
- lexsort
- lindep
- lll
- lll1
- lllgram
- lllgram1
- lllgramint
- lllgramkerim
- lllint
- lllkerim
- lllrat
- mat
- matextract
- matinvr
- matrixqz
- matrixqz2
- matrixqz3
- minim
- pascal
- rank
- signat
- smith
- sort
- sqred
- supplement
- trace
- trans
- vecsort
- ###Sums, products, integrals and similar functions.
- divsum
- hvector
- intgen
- intinf
- intnum
- intopen
- matrix
- prod
- prodeuler
- prodinf
- prodinf1
- solve
- sum
- sumalt
- suminf
- sumpos
- vector
- vvector
- ###Plotting functions.
- box
- cursor
- draw
- initrect
- killrect
- line
- lines
- move
- plot
- ploth
- ploth2
- plothraw
- point
- points
- postdraw
- postploth
- postploth2
- postplothraw
- rbox
- rline
- rmove
- rpoint
- string
- ###Programming under GP
- for
- fordiv
- forprime
- forstep
- goto
- if
- label
- until
- while
- kill
- pprint
- pprint1
- print
- print1
- read
- reorder
- texprint
- ###
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