  The sensitivity of optimal integrated observables to electroweak triple gauge
couplings is investigated for the process e-e+ -> W-W+ -> 4 fermions at future
linear colliders. By a suitable reparameterisation of the couplings we achieve
that all 28 coupling parameters have uncorrelated statistical errors and are
naturally normalised for this process. Discrete symmetry properties simplify
the analysis and allow checks on the stability of numerical results. We
investigate the sensitivity to the couplings of the normalised event
distribution and the additional constraints that can be obtained from the total
rate. Particular emphasis is put on the gain in sensitivity one can achieve
with longitudinal beam polarisation. We also point out questions that may best
be settled with transversely polarised beams. In particular we find that with
purely longitudinal polarisation one linear combination of coupling parameters
is hardly measurable by means of the normalised event distribution.
