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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.
New Cell
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.