According to the kinematic theory of nonhelical dynamo action the magnetic energy spectrum increases with wavenumber and peaks at the resistive cutoff wavenumber . It has previously been argued that even in the dynamical case the magnetic energy peaks at the resistive scale . Using high resolution simulations ( up to 1024 ^ { 3 } meshpoints ) with no large scale imposed field we show that the magnetic energy peaks at a wavenumber that is independent of the magnetic Reynolds number and about 5 times larger than the forcing wavenumber . Throughout the inertial range the spectral magnetic energy exceeds the kinetic energy by a factor of 2 to 3 . Both spectra are approximately parallel . The total energy spectrum seems to be close to k ^ { -3 / 2 } , but there is a strong bottleneck effect and it is suggested that the asymptotic spectrum is instead k ^ { -5 / 3 } . This is supported by the value of the second order structure function exponent that is found to be \zeta _ { 2 } = 0.70 , suggesting a k ^ { -1.70 } spectrum . The third order structure function scaling exponent is very close to unity , in agreement with Goldreich-Sridhar theory . Adding an imposed field tends to suppress the small scale magnetic field . We find that at large scales the magnetic power spectrum follows then a k ^ { -1 } slope . When the strength of the imposed field is of the same order as the dynamo generated field , we find almost equipartition between the magnetic and kinetic power spectra .