  We have used the Breit-Wigner resonance model with S11, P11 and P13
resonances in the s-channel to re-analyze the old piN -> KLambda data with the
aim to establish the origin of the prominent structure in the total cross
section in the vicinity of 1700 MeV. In this paper we show that, at least in
the Breit-Wigner resonance model, it is not possible to achieve the detailed
reproduction of the narrow 1700 MeV total cross section peak using the standard
partial widths. We have found the new set of resonance parameters enforcing the
experimentally observed structure of the total cross section data
simultaneously with the linear dependence of the differential cross sections
with the cos(Theta) in the energy range 1650 MeV < W < 1800 MeV. The result is
that the P13 partial wave has been strongly attenuated in this model. To
understand the phenomenon, a much narrower width of a resonant state, the
N(1710) P11 in our case, is required, but then the agreement of the model
predictions with total cross section data at higher energies is lost. One way
out is to allow for the existence of the second P11 resonance in that energy
range. The same feature is shown by the polarization data. Analyzing the qqq or
qqqq(qbar) nature of the recommended narrow P11 structure in the neighbourhood
of 1700 MeV we re-open (remind of) the possibility that another P11 resonant
state exists in addition to the standard N(1710) P11 PDG-resonance, and that
one of the two states can be identified with the yet undiscovered cryptoexotic
pentaquark state. To clarify the situation, we strongly recommend remeasurement
of the piN -> KLambda process in the energy range 1650 MeV < W < 1800 MeV.
