Here we present the square of the inverse error matrix, S^-1, used in performing it's $\chi^{2}$ minimizations for the determination of the cosmological parameters in Perlmutter et al. (ApJ, in press).

The table is set up in the following manner: Column 1 -- Supernova number, Column 2 -- Supernova number, Column 3 -- S^-1_i,j. There is a translation table for the supernovae names and numbers found here.

$\chi^{2}$ is defined as follows (here we are calculating the $\chi^{2}$for the observable $\mu_{ob}$ given the theoretically known $\mu_{th}$):
 
 

$$\chi^{2} = \sum_{i,j} (\mu_{ob}(i) - \mu_{th}(i))* S^{-1}_{i,j} *(\mu_{ob}(j) - \mu_{th}(j))$$ (1)

  

S^-1 is found here. In addition, we also have available the square of the error matrix, S, found here.