Cosmological Parameters from the Eigenmode Analysis of the Las Campanas Redshift Survey

We present the first results of the Karhunen-Lo`eve (KL) eigenmodes applied to real data of the Las Campanas Redshift Survey (LCRS) to simultaneously measure the values of the redshift-distortion parameter, $\beta = \Omega_0^{0.6}/b$,thelinearlyextrapolatednormalization,$\sigma_8^{\rm L}$, and the CDM shape parameter, $\mathrm{\Gamma }={\mathrm{\Omega }}_{0}h$. The results of our numerical likelihood analysis indicate a low value of $\beta =0.30\pm 0.39$, a shape parameter $\mathrm{\Gamma }=0.16\pm 0.10$, and a linearly extrapolated normalization ${\sigma }_8^{\mathrm{L}}=0.79\pm 0.08$, which are consistent with a low density universe, ${\mathrm{\Omega }}_0\text{simlt}0.5$.