  The Tango bundle T over P^5 is proved to be the pull-back of the twisted
Cayley bundle C(1) via a map f : P^5 --> Q_5 existing only in characteristic 2.
The Frobenius morphism F factorizes via such f.
  Using f the cohomology of T is computed in terms of F^*(C), Sym^2(C), C and
the tensor product of S by C, while these are computed by applying
Borel-Bott-Weil theorem.
  By machine-aided computation the mimimal resolutions of C and T are given;
incidentally the matrix presenting the spinor bundle S over Q_5 is shown.
