This repository constains sagemath worksheet that complement the analysis made in the paper
Motivic geometry of two-loop Feynman integrals
by Charles F. Doran, Andrew Harder and Pierre Vanhove and Eric Pichon-Pharabod
The detailed sagemath worksheets and their link to relevant sections in the paper are
- The motive for the double-box graph detailed in section 5.3
- The elliptic curve for the Pentabox graph of theorem 5.16 of section 5.4. The singularities of the Pentabox quadric fibration are singularities of the Pentabox differential operators as checked in Pentabox singularities
- The motive for the House graph detailed in section 6.1
- The motive for the Kite graph detailed in section 6.2
- The motive for the Observatory graph detailed in section 7.4
- The Picard-Fuchs operator for the K3 associated to the Tardigrade detailed in section 8
- The determination of the transcendantal lattice of the K3 surface for the Tardigrade graph detailed in the Appendix B by Eric Pichon-Pharabod