\relax 
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces  Open points show Hubble diagram for 42 high-z SNe (Perlmutter {\it  et al.}\ 1999) including SN1997ap at $z$=0.83 for which HST observations were used, along with comparable non-host-extinction-corrected points (filled circles) for our HST SNe (Knop {\it  et al.}\ 2000). The Einstein-de Sitter, ``Flat (no $\Lambda $)'' case ($\Omega _M, \Omega _{\Lambda }$) = (1.0, 0.0) is strongly excluded by the current data. The ``Open (no $\Lambda $)'' case (0.28,0.00) indicates that some contribution from a cosmological constant is required for values of $\Omega _M$ favored by dynamical measurements. The magnitude difference between the best-fit ``Accelerating ($\Lambda $)'' world model (0.28, 0.72) and suitable ones with $\Omega _{\Lambda }$=0 show redshift dependencies which would be very hard to mimic within the context of SNe evolution or gray dust hypotheses (the gray shaded region is an example model with uniform dust). By extending our survey beyond $z$=1, the {\it  shape} of the Hubble diagram alone would become sufficient evidence to support a cosmological constant. The preliminary magnitude estimates of our highest redshift SN1998eq at $z=1.2$ and the serendipitous data for SN1997ff at $z=1.7$ are suggestive, but more analysis and significantly more SNe in these redshift ranges (as proposed here) are necessary.}}{3}}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces figurecaption}}{4}}
\newlabel{cosmol}{{2}{4}}
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\@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces Table 1: Synopsis of Requested Primary Orbits}}{8}}