  We have performed two analytical pipi phase shift analyses using a Standard
amplitude analysis of the CERN data on pi(-)p->pi(-)pi(+)n on polarized target
at 17.2 GeV/c and a more recent analysis of the same data using Spin Mixing
Mechanism (SMM). There are two solutions for helicity amplitudes labeled (1,1)
and (2,2) in the Standard analysis and SpinMixing and S-Matrix in the SMM
analysis which are related to the pipi scattering amplitudes. Our first phase
shift analysis is an elastic scattering analysis below KKbar threshold. Our
second analysis is a joint pipi phase shift analysis of pi(-)pi(+) and
pi(0)pi(0) data below 1080 MeV. Our elastic Solution (2,2)1 and elastic
Solution SpinMixing 1 for delta^0_S are in a remarkable agreement with the 1997
Cracow Solution Down-flat using the same CERN data on polarized target. Our
joint Solution (2,2) and joint Solution SpinMixing are also in a remarkable
agreement with the 2002 joint Cracow Solution Down-flat. Solutions elastic
(1,1) and joint (1,1) agree with the Cracow Solutions Up-flat and are rejected.
Model independent amplitude analyses of measurements of pi(-)p->pi(-)pi(+)n at
17.2 and 1.78 GeV/c and pi(+)n->pi(+)pi(-)p at 5.98 and 11.85 GeV/c reveal
evidence for rho^0(770)-f_0(980) spin mixing in the S-wave transversity
amplitudes. These transversity amplitudes define single-flip helicity
amplitudes which have been related to pipi scattering amplitudes. Our key
observation is that the presented and the Cracow solutions are consistent with
the evidence for rho^0(770)-f_0(980) spin mixing in the measured transversity
amplitudes from which all these phase shifts ultimately arise.
