Table 3: Predicted slopes and comparison with our observed values $\delta _1 = 0.78\pm 0.02$ and $\delta _2 = 1.44 \pm 0.04$ for different models (all in the framework of a spherical relativistic fireball). $\nu _{\rm i}$ and $\nu _{\rm c}$ are the standard injection and cooling frequencies (defined e.g. in Sari et al. 1998). $\nu _{\rm o}$ spans the whole observed band, from optical ($\sim $1014 Hz) to X-ray ($\sim $1018 Hz).

Frequencies		 Ambient Electron Predicted Discrepance
order density index p slope $\delta$ $\delta _1$ $\delta _2$

$\nu_{\rm c}<\nu_{\rm i}<\nu_{\rm o}$		 uniform $1.6 \pm 0.1 $ $0.92 \pm 0.02 $ 7.5$\sigma $ 13$\sigma $
  wind $1.6 \pm 0.1 $ $0.95 \pm 0.01 $ 9.0$\sigma $ 12$\sigma $
$\nu_{\rm i}<\nu_{\rm o}<\nu_{\rm c}$ uniform $2.6 \pm 0.1 $ $ 1.2 \pm 0.1 $ 4.3$\sigma $ 2.4$\sigma $
  wind $2.6 \pm 0.1 $ $ 1.7 \pm 0.1 $ 9.3$\sigma $ 2.6$\sigma $
$\nu_{\rm i}<\nu_{\rm c}<\nu_{\rm o}$ uniform $1.6 \pm 0.1 $ $0.92 \pm 0.02 $ 7.5$\sigma $ 13$\sigma $
  wind $1.6 \pm 0.1 $ $0.95 \pm 0.01 $ 9.0$\sigma $ 12$\sigma $

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