Table 1: Results for $\alpha ^2\omega $ dynamos in a homogeneous sphere. The values of $\log E$, $<B_{\rm pol}>$ 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.
$C_\alpha$ $C_\omega$ $B_{\rm ext}$ $\log E$ q $<B_{\rm pol}>$ P  
1 -104 0.0 -0.28 $2.3\times 10^{-2}$ 0.012 +1.0 SP
1 -104 0.01 -0.29 $2.6\times 10^{-2}$ 0.013 (+0.72, +0.82) weakly DP
1 -104 0.04 0.28 $3.9\times 10^{-2}$ 0.028 -1.0 ST
1 -104 0.10 1.80 $1.5\times 10^{-2}$ 0.085 -1.0 ST
1 -104 1.00 3.97 $1.5\times 10^{-2}$ 1.00 -1.0 ST
0 -104 1.00 3.97 $1.5\times 10^{-2}$ 1.00 -1.0 ST
1 -105 0.00 0.78 $1.8\times 10^{-2}$ 0.030 +1.0 SP
1 -105 0.01 1.12 $4.7\times 10^{-3}$ 0.012 (-0.85,  +0.20) DP
1 -105 0.03 2.65 $1.6\times 10^{-3}$ 0.028 -1.0 ST
0 -105 1.00 5.97 $1.5\times 10^{-3}$ 1.00 -1.0 ST
10 -103 0.0 0.14 0.21 0.17 +1.0 SP
10 -103 0.1 0.14 0.22 0.18 (+0.78, +0.86) SP
10 -103 0.3 0.14 0.31 0.25 (-0.29,  -0.15) weakly DP
10 -103 1.0 1.93 0.14 0.88 -1.0 ST
3 -104 0.00 0.43 $3.5\times 10^{-2}$ 0.039 $\approx$-1.0 SP
3 -104 0.01 0.44 $3.5\times 10^{-2}$ 0.038 -1.0 SP
3 -104 0.10 0.99 $3.5\times 10^{-2}$ 0.074 (-0.90, -0.85) DP
3 -104 1.00 3.97 $4.8\times 10^{-2}$ 1.00 -1.0 ST
10 -104 0.00 0.88 $5.4\times 10^{-2}$ 0.10 +1.0 SP
10 -104 0.10 1.18 $2.0\times 10^{-3}$ 0.12 (-0.84,  +0.12) DP
10 -104 1.00 3.95 $1.5\times 10^{-2}$ 0.99 -1.0 ST


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