A new method for finding more symmetry relations of Feynman integrals

We introduce a new method for deriving Feynman integral symmetry relation. By solving the ansatz of momentum transformation in the field of rational functions rather than constants, the method can sometimes find more symmetry relations, comparing with some state-of-art software. The new method may help to further decrease the number of master integrals in an integral family. Well-chosen gauge conditions are implemented in this method, for the efficient symmetry searching.