Laminated wave turbulence: generic algorithms I

The model of laminated wave turbulence presented recently unites both types of turbulent wave systems - statistical and discrete . The main new feature described by this model is following: discrete effects do appear not only in the domain of small integer wave numbers but all over the spectra thus putting forth a novel problem - construction of fast algorithms for computations in integers of order 10^{12} and more. In this paper we present a generic algorithm fo polynomial dispersion functions and illustrate it by application to gravity and planetary waves.