Analytic multi-loop results using finite fields anddataflow graphs with FiniteFlow

FINITEFLOWis a public framework for defining and executing numerical algorithms over finitefields and reconstructing multivariate rational functions. The framework allows to build complexalgorithms by combining basic building blocks into graphical representations of the calculation,known as dataflow graphs. It offers an easy-to-use MATHEMATICAinterface for implementingefficient custom algorithms without any low-level coding. We report on some new features ofFINITEFLOWwhich have been published after its initial release, give some simple example ofusage for common tasks and review recent cutting-edge applications to two-loop five-point scat-tering and the four-loop cusp anomalous dimension.