\relax 
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces \relax \fontsize  {10.95}{13.6}\selectfont  \abovedisplayskip 11\p@ plus3\p@ minus6\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6.5\p@ plus3.5\p@ minus3\p@ \def \leftmargin \leftmargini \parsep 5\p@ plus2.5\p@ minus\p@ \topsep 10\p@ plus4\p@ minus6\p@ \itemsep 5\p@ plus2.5\p@ minus\p@ {\leftmargin \leftmargini \topsep 9\p@ plus3\p@ minus5\p@ \parsep 4.5\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip \baselineskip 10pt Confidence regions in the ($\Omega _M-\Omega _{\Lambda }$) plane from the 42 distant SNe\nobreakspace  {}Ia in Perlmutter et al.\ 1999, overlaid with simulated contours illustrating the improvement in the determination of these parameters that will be possible on the timescale of the CFHT Legacy survey. The simulated 2-$\sigma $, 3-$\sigma $ (1D) contours (confidence levels as indicated) are based on three advances over the current results: 1) the full 5-year dataset of the proposed CFHT Legacy survey, 2) a dataset of 200 well-measured SNe\nobreakspace  {}Ia from, for example, the Nearby Supernova Factory, and 3) a gaussian prior on $\sigma (\ensuremath  {\Omega _M}) = 0.03$ (centered in the simulation on $\ensuremath  {\Omega _M}= 0.28)$ reflecting the improvement anticipated from large scale structure and CMB measurements. }}{1}}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces \relax \fontsize  {10.95}{13.6}\selectfont  \abovedisplayskip 11\p@ plus3\p@ minus6\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6.5\p@ plus3.5\p@ minus3\p@ \def \leftmargin \leftmargini \parsep 5\p@ plus2.5\p@ minus\p@ \topsep 10\p@ plus4\p@ minus6\p@ \itemsep 5\p@ plus2.5\p@ minus\p@ {\leftmargin \leftmargini \topsep 9\p@ plus3\p@ minus5\p@ \parsep 4.5\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip \baselineskip 10pt Confidence region in the ($\delimiter "426830A w \delimiter "526930B - \Omega _M$) plane, assuming a flat universe, from the 42 distant SNe\nobreakspace  {}Ia in Perlmutter et al. 1999, overlaid with a simulated projected 1-$\sigma $ contour illustrating anticipated improvement. In this case, the simulation was based on only a mid-project CFHT Legacy Survey dataset (300 SNe), along with the same assumptions as in Fig. 1 for the nearby SNe and the prior on $\Omega _M$. The simulation was done assuming constant w ($\delimiter "426830A w \delimiter "526930B =-0.8$) and demonstrates the ability to test whether a cosmological constant fits the data. Testing for time dependence (i.e. $w(z)$) will require a future project, such as SNAP. }}{1}}