Table 2: The table shows the exponent $\alpha $ of the fitted power laws  $\tau ^\alpha $ for the quantities $l_{\rm c}$ (cocoon length), $r_{\rm e}$ (extended cocoon radius) and $r_{\rm i}$ (internal cocoon radius). The left column refers to the initial phase of the evolution of the cocoon ( $l_{\rm c} <1.0$) while the second one to the advanced one ( $l_{\rm c} >1.5$)

$\nu $ = 0.1
$l_{\rm c}$  < 1.0 $l_{\rm c}$  > 1.5

$l_{\rm c}$
0.85 0.85
$r_{\rm e}$ 0.54 0.67
$r_{\rm i}$ 0.43 0.56

$\nu $ = 0.01
$l_{\rm c}$  < 1.0 $l_{\rm c}$  > 1.5

$l_{\rm c}$
0.75 0.95
$r_{\rm e}$ 0.56 0.71
$r_{\rm i}$ 0.45 0.53

$\nu $ = 0.001
$l_{\rm c}$  < 1.0 $l_{\rm c}$  > 1.5

$l_{\rm c}$
0.77 0.89
$r_{\rm e}$ 0.69 0.81
$r_{\rm i}$ 0.46 0.07


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