  The spectrum of turbulence in superfluid liquid is modified by the nonlinear
energy dissipation caused by the mutual friction between quantized vortices and
the normal component of the liquid. In some region of two Reynolds parameters
characterizing the flow of a superfluid, we found the new state of the fully
developed turbulence. This state displays both the Kolmogorov-Obukhov
5/3-scaling law $E_k \propto k^{-5/3}$ and the new "3-scaling law" $E_k \propto
k^{-3}$, each in a well separated range of $k$.
