sub[haloes]{} as well as [haloes]{} in all the simulation boxes and the respective fitting functions from @bett_2007, @bullock_2001 and @onions_2013. To assure robustness, only structures resolved with at least 300 particles are included. For [haloes]{} we remove particles contained within substructures when we calculate the spin. We make fits to the histograms in [Figure \[pic1\]]{} using [Equation \[eqn:bettfit\]]{} and [Equation \[eqn:bullockfit\]]{}. The respective fitting parameters are given in [Table \[tab:params\]]{}.

\[tab:params\]

  --------------- ---------------------- ------------------- ---------------------- ------------------
                                                                                    
                       $\lambda_0$            $\alpha$            $\lambda_0$            $\alpha$
  @bett_2007       $0.04326\pm0.000020$   $2.509\pm0.0033$             -                    -
  @onions_2013              -                     -                  0.028                 3.64
  BoxA             $ 0.0371\pm0.00021 $   $ 2.59\pm0.047 $    $ 0.0254\pm0.00049 $    $ 2.92\pm0.17$
  BoxB             $ 0.0384\pm0.00020 $   $ 2.63\pm0.043 $    $ 0.0285\pm0.00032 $    $ 2.68\pm0.09$
  BoxC             $ 0.0404\pm0.00018 $   $ 2.57\pm0.037 $    $ 0.0308\pm0.00033 $    $ 2.75\pm0.09$
  BoxD             $ 0.0411\pm0.00014 $   $ 2.47\pm0.027 $    $ 0.0346\pm0.00030 $    $ 2.54\pm0.07$
                                                                                    
                       $\lambda_0'$           $\sigma$            $\lambda_0'$           $\sigma$
  @bullock_2001      $0.035\pm0.005$         $0.5\pm0.3$               -                    -
  @onions_2013              -                     -                  0.018                 0.70
  BoxA             $ 0.0310\pm0.00024 $   $ 0.629\pm0.007 $   $ 0.0167\pm0.00019 $   $ 0.664\pm0.009$
  BoxB             $ 0.0332\pm0.00025 $   $ 0.632\pm0.006 $   $ 0.0199\pm0.00020 $   $ 0.669\pm0.008$
  BoxC             $ 0.0367\pm0.00028 $   $ 0.622\pm0.006 $   $ 0.0232\pm0.00023 $   $ 0.645\pm0.008$
  BoxD             $ 0.0393\pm0.00027 $   $ 0.604\pm0.006 $   $ 0.0283\pm0.00025 $   $ 0.610\pm0.007$
  