default(parisizemax,"32M") bnfinit(x^8+10001).no to 16000000. 0xBABEC007 0b11111 default(realbitprecision,100) \pb100 bitprecision(1.) localbitprec(32); bitprecision(1.) localbitprec(100);intnumromb(x=2,3,zeta(x)) ## localbitprec(128);intnumromb(x=2,3,zeta(x)) ## call(sin,[Pi/6]) call("_!",[5]) printc(x[..])=call(printsep,[":",x]); printc(1,2,3) 1:2:3 M = Map(); \\ create an empty map mapput(M,"foo",17); mapput(M,888,289); mapput(M,x^2+1,4913); Vec(M) mapget(M,"foo") mapisdefined(M,888,&n) n mapdelete(M,888); mapget(M,888) index not in map M=Map(["c",3;"b",2;"a",1]); mapget(M,"b") Mat(M) lfun(x^2+1,2) F=ellfromeqn(X^2+Y^2-(1+3*X^2*Y^2)); E=ellinit(F); ellcard(E,nextprime(2^100)) E=ellinit([1,7]*Mod(1,19));lift(elltwist(E)) elltwist(ellinit([0,a2,0,a4,a6]),-3) E=ellinit([a1,a2,a3,a4,a6]*Mod(1,2)); lift(elltwist(E,x^2+x+T)) E=ellminimalmodel(ellinit(ellfromj(3))); ellglobalred(E)[1] D = ellminimaltwist(E,1) E2=ellminimalmodel(ellinit(elltwist(E,D))); ellglobalred(E2)[1] E=ellinit([0,-1,1,-10,-20]); \\ X_0(11) [L,M]=ellisomat(E,1); L \\ List of representatives curves [-1/3,19/108]] M \\ isogeny matrix E=ellinit("5077a1"); ellmoddegree(E) Q=matid(6); G=qfauto(Q); V=qfminim(Q,3); apply(x->[x[1],#x],qforbits(G,V)) [[0,0,0,1,-1,-1]~,80]] parforvec(v=[[1,3],[1,3]],factorback(v) \ ,f,print(v,":",f)) cotanh(1) sinc(Pi/2) ramanujantau(101) zetamult([2,1])