It has been conjectured that essential features of fast kinematic magn
etic dynamos in the presence of small magnetic diffusivity can be extr
acted from the ideal (i.e., diffusionless) kinematic dynamo equation.
In particular, predictions concerning the cancellation exponent, the d
ynamo growth rate, and the growth of moments of the magnetic field in
the nonideal case can be made based on the ideal dynamics. This paper
presents the first confirmation of these predictions by numerical comp
utations on a spatially smooth chaotic flow at very high magnetic Reyn
olds number.