SAGE digits!!!

edit

R.<x> = RealField(100)[];
a = [];
for n in range (1,11):
  p = gen_legendre_P(n, 0, x)
  print "n =", n
  print "Nultocke: ", [p.real_roots()[i].n(digits=6) for i in range(len(p.real_roots()))]
  a = p.real_roots();