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# Run PARI/GP in your browser Stable Version | Development version

Type a GP expression in the blue box then hit `<Shift>-<Enter>` or click on the `Evaluate` button below it. A trailing semi-colon `;` prevents output, but not warnings or diagnostics. You can assign to variables and define user functions. Speed is approximately 15% of native speed.

## Examples (click a statement below to paste it)

• `?eulerphi` (short help), `??factor` (long help in new tab)
• `2*3` , `10!` , `(1+x)^10` , `exp(Pi*sqrt(163))`
• `factor(2^128+1)` , `factor(x^4+4)` , `isprime(10^50+151)`
• ``` ploth(x=1,100,[sqrt(2/(Pi*x)),besselj(0,x),-sqrt(2/(Pi*x))])```
• ``` ploth(x=0,2*Pi,[sin(2*x),cos(3*x)],1)```
• ` ploth(x=0,20,zeta(1/2+I*x),"Complex") `
• `intnum(x=-oo,oo,1/(1+x^2))` , `sumpos(n=1, n^(-3))`
• `sin(x)` , `ellj(x + O(x^20))`
• `Mod(x,x^2-x-1)^100000==fibonacci(100000)*x+fibonacci(99999)`
• `g=gamma(1/4+O(5^20))` , ` algdep(g,4)` , `g^4+4*g^2+5`
• `\p100` : change default accuracy to 100 decimal digits
• `K=bnfinit(a^2+23);` (huge: don't forget the `;` ), `K.clgp` , `bnrclassfield(K)`
• `E=ellinit([1,3]*Mod(1,10^50+151)); ellcard(E)`
• `E=ellinit([-157^2,0]); P=ellheegner(E)` , `ellisoncurve(E,P)`
• `polgalois(x^8-2)` , `ellsearch(11)` (loads packages on demand)
• `lfun(x^3-2, 2)` (Dedekind zeta function)
• `z=exp(lfun(4*67,1)*sqrt(67));[(z+1/z)/2,(z-1/z)/2/sqrt(67)]`
• `E=ellinit("11a1");L=lfuninit(E,[0,100]);ploth(x=0,100,lfunhardy(L,x))`
• ``````ecm(N, B = 1000!, nb = 100)=
{
for(a = 1, nb,
iferr(ellmul(ellinit([a,1], N), [0,1], B),
E, return(gcd(lift(component(E,2)),N))))
}
ecm(2^101-1)```
```
• ``````K=matkerint(Mat(concat([vector(23,i,2*i+1),51,145])));
M=matdiagonal(vector(25,i,if(i==25,-1,1)));```
```
`L24 = K~*M*K` (Leech Lattice), `qfminim(L24)[1]` , `qfauto(L24)[1]`

PARI is compiled using emscripten. Enter `\v` for version information.

PARI/GP Development