57! 2 / 6 (1+I)^2 (x+1)^(-2) Mod(2,5)^3 Mod(x, x^2+x+1)^3 w = ffgen([3,5],'w); w^12 \\ in F_3^5 Pi log(2) \p100 log(2) exp(%) log(1+x) exp(%12) ? ?4 ?atan ??atan ?? ??refcard ??refcard-nf ??tutorial ???determinant V = [1,2,3]; W = [4,5,6]~; M = [1,2,3;4,5,6] [1 2 3] [4 5 6] V*W M*W U = [1..10] V[2] W[1..2] M[2,2] M[1,] M[,2] M[1..2,1..2] [1 2] [4 5] V=vector(10,i,1/i) W=vectorv(10,i,1/i) [1/i | i<-[1..10]] [1/i | i<-[1..10]]~ M=matrix(4,4,i,j,i*j) matdiagonal([1,2,3,4]) C1 = [1,2,3]~; C2=[4,5,6]~; concat(C1,C2) matconcat([C1,C2]) [1,4;2,5;3,6] matid(5) matconcat([C1,C2]) matdet([1,2;3,4]) M = [1,2,3;4,5,6]; M~ matsize(M) matrank(M) K=matker(M) M*K M*K[,1] V = vector(10,i,random(10^10)); M = matconcat([matid(10),V]~); T = qflll(M) B = qflll(M,3) M*T==B Q = M~*M; U = qflllgram(Q) T == U Q = matkerint(Mat(concat([2..24],-70))); Q = Q~*Q; Q[23,23]-=2; Q qfsign(Q) L = qfminim(Q); L[1..2] V = L[3][,1] qfeval(Q,V) G=qfauto(Q); G[1] \o0 factor(91) factor(x^4+4) factor((x^4+1)*Mod(1,a^2-2)) factor((x^4+4)*Mod(1,13)) factor(x^4+1,Mod(1,a^2-2)) factor(x^4+1,Mod(1,13)) intnum(x=0,1,1/(1+x^2))/Pi sumnum(n=1,1/n^2)/Pi^2 sumalt(n=0,(-1)^n/(2*n+1))*4 sumalt(n=1,(-1)^n*log(n)) \\ diverging! 2*exp(2*%) [n^2|n<-[1..10]] [n^2|n<-[1..10],isprime(n)] [n^2|n<-primes([1,10])] [a,b] = [1,2]; print("a=",a," b=",b) default(parisizemax,"1G");