Software

Algorithmic nonintegrability testing for planar homogeneous potentials
Maple code corresponding to the algorithms decribed in the paper. 
Integrable homogeneous potentials of degree 1 in the plane with small eigenvalues
Maple code for testing the validity of the conjecture at the end of the paper for an arbitrary eigenvalue. 
Symbolic Computations of First Integrals for Polynomial Vector Fields
Implementation of the rational, Darboux, Liouvillian and Ricatti first integral algorithm for planar rational vector fields. 
A symplectic Kovacic’s algorithm in dimension 4
Implementation of the algorithm described in the paper to find Liouvillian solutions to symplectic differential operators in dimension 4.