\begin{table}%t1 %\centering \par \caption{ Results for $\alpha^2\omega$ dynamos in a homogeneous sphere. The values of $\log E$, $$ and $q$ are global quantities, taken over the sphere $r\le 1$, and averaged over time for the case of non-steady solutions. In the last column, SP denotes a singly periodic solution, DP doubly periodic and ST a steady solution. When two figures are given in brackets for the parity $P$, this is the range of variation. The entry with $C_\alpha=0$ applies to a non-dynamo state, where the external field is amplified solely by the differential rotation. } \label{res1} \begin{tabular}{cccccccc} \hline\hline $C_\alpha$ & $C_\omega$ & $B_{\rm ext}$ & $\log E$ & $q$ & $$ & $P$ & \\ \hline %\multicolumn{6}{l}{$M=1M_\odot$, $B_{\rm i}=250$G}\\ 1 & $-10^4$ & 0.0 & $-$0.28 & $2.3\times 10^{-2}$ & 0.012 & +1.0 &SP \\ 1 & $-10^4$ & 0.01 & $-$0.29 & $2.6\times 10^{-2}$ & 0.013 & (+0.72, +0.82) &weakly DP \\ 1 & $-10^4$ & 0.04 & 0.28 & $3.9\times 10^{-2}$ & 0.028 & $-1.0$ &ST \\ 1 & $-10^4$ & 0.10& 1.80 & $1.5\times 10^{-2}$ & 0.085 & $-1.0$ &ST \\ 1 & $-10^4$ & 1.00& 3.97 & $1.5\times 10^{-2}$ & 1.00 & $-1.0$ &ST \\ 0 & $-10^4$ & 1.00& 3.97 & $1.5\times 10^{-2}$ & 1.00 & $-1.0$ &ST \\ \hline 1 & $-10^5$ & 0.00& 0.78 & $1.8\times 10^{-2}$ & 0.030 & +1.0 &SP \\ 1 & $-10^5$ & 0.01& 1.12& $4.7\times 10^{-3}$ & 0.012 & $(-0.85,~ +0.20)$ &DP \\ 1 & $-10^5$ & 0.03& 2.65 & $1.6\times 10^{-3}$ & 0.028 & $-1.0$ &ST \\ 0 & $-10^5$ & 1.00& 5.97 & $1.5\times 10^{-3}$ & 1.00 & $-1.0$ &ST \\ \hline 10 & $-10^3$ & 0.0 & 0.14 & 0.21 & 0.17 &+1.0 & SP\\ 10 & $-10^3$ & 0.1 & 0.14 & 0.22 & 0.18 & (+0.78, +0.86) & SP\\ 10 & $-10^3$ & 0.3 & 0.14 & 0.31 & 0.25 & $(-0.29,~ -0.15)$ & weakly DP\\ 10 & $-10^3$ & 1.0 & 1.93 & 0.14 & 0.88 & $-1.0$ & ST\\ \hline 3 & $-10^4$ & 0.00& 0.43 & $3.5\times 10^{-2}$ & 0.039 & $\approx$$-1.0$ &SP \\ 3 & $-10^4$ & 0.01& 0.44 & $3.5\times 10^{-2}$ & 0.038 & $-1.0$ &SP \\ 3 & $-10^4$ & 0.10& 0.99 & $3.5\times 10^{-2}$ & 0.074 & $(-0.90, -0.85)$ &DP \\ 3 & $-10^4$ & 1.00& 3.97 & $4.8\times 10^{-2}$ & 1.00 & $-1.0$ &ST \\ \hline 10 & $-10^4$ & 0.00& 0.88 & $5.4\times 10^{-2}$ & 0.10 & $+1.0$ &SP \\ 10 & $-10^4$ & 0.10& 1.18 & $2.0\times 10^{-3}$ & 0.12 & $(-0.84,~ +0.12)$ &DP \\ 10 & $-10^4$ & 1.00& 3.95 & $1.5\times 10^{-2}$ & 0.99 & $-1.0$ &ST \\ \hline \end{tabular} \end{table}