\begin{table}%t5 \caption{\label{tab:syserr}Summary of systematic and statistical uncertainties in the Crab spectrum.} \small%\centerline { \begin{tabular}{rc|c|cccc|ccc|cccc|c} \hline \hline $\lambda$ & $E$ & a & b & c & d & e & f & g & h & i & j & k & l & m \\ \AA\ & keV & & & & & & & & & & & & & \\ \hline 5 & 2.5 & 0.1 & 0.008 & 0.003 & 0.000 & 0.000 & 0.001 & 0.001 & 0.003 & 0.050 & 0.000 & 0.30 & 1.0 & 0.0031 \\ 7 & 1.8 & 0.1 & 0.011 & 0.005 & 0.000 & 0.003 & 0.002 & 0.002 & 0.000 & 0.010 & 0.001 & 0.04 & 0.022 & 0.0025 \\ 10 & 1.2 & 0.1 & 0.015 & 0.007 & 0.001 & 0.005 & 0.004 & 0.002 & 0.004 & 0.004 & 0.002 & 0.01 & 0.010 & 0.0025 \\ 15 & 0.8 & 0.1 & 0.019 & 0.010 & 0.001 & 0.000 & 0.006 & 0.010 & 0.008 & 0.005 & 0.002 & 0.00 & 0.008 & 0.0026 \\ 20 & 0.6 & 0.1 & 0.022 & 0.011 & 0.002 & 0.005 & 0.007 & 0.001 & 0.010 & 0.015 & 0.001 & 0.00 & 0.008 & 0.0045 \\ 25 & 0.5 & 0.1 & 0.024 & 0.013 & 0.002 & 0.005 & 0.009 & 0.003 & 0.012 & 0.020 & 0.001 & 0.00 & 0.008 & 0.0048 \\ 30 & 0.4 & 0.1 & 0.026 & 0.014 & 0.003 & 0.002 & 0.010 & 0.001 & 0.014 & 0.050 & 0.000 & 0.00 & 0.010 & 0.0090 \\ \hline \multicolumn{2}{c|}{type} & c & c & c & c & u & c & c & c & u & c & u & u & u \\ \multicolumn{2}{c|} {$\Delta\alpha$} & 0.016 & 0.010 & 0.006 & 0.002 & 0.001 & 0.005 & 0.001 & 0.010 & 0.010 & 0.000 & 0.027 & 0.006 & -- \\ \multicolumn{2}{c|} {$\Delta A$} & 0.100 & 0.019 & 0.010 & 0.001 & 0.001 & 0.004 & 0.005 & 0.004 & 0.003 & 0.002 & 0.005 & 0.002 & -- \\ \hline \end{tabular}} \medskip {\it Main power-law}: $^a$ uncertainty in the K01 continuum model. \\ {\it Curvature corrections}: $^b$~a 50\% change in the lower energy of the 2$-$8~keV range used for the normalisation of the Chandra data; $^c$~break size $\Delta\Gamma=0.006$ at low~$E$ if a break (at 4~keV) is present in the Kuiper et~al. data; $^d$~0.5\% of the absorption with $N_{\rm H}$ higher by $7.5$~$\times$ $10^{24}$~m$^{-2}$; $^e$~numerical approximation of $f_{\rm c}(E)$ by~(\ref{eqn:fc}). \\ {\it Interstellar absorption}: $^f$~systematic uncertainty in the dust model; $^g$~neglect of hot gas; $^h$~interstellar carbon abundance. \\ {\it Instrumental corrections}: $^i$~cross-dispersion correction; $^j$~pile-up correction for 2~CCD mode; adopts 5\% uncertainty in $a$ ($2\sigma$); $^k$~redistribution errors, estimated from difference fit residuals RGS1 and~RGS2; $^l$~errors in the Chebychev polynomials used for the effective area correction; $^m$~typical combined RGS1/RGS2 statistical uncertainty for a full 1~\AA~wide~bin. \end{table}