With renowned collaborators in the research field of integrability, we are developing the algebraic geometry method for the analytic computations in integrability. This method applies the modern computational algebraic geometry techniques, to extract analytic physical quantities from the Bethe Ansatz equation and also QQ, TQ relations. 

Reference

"Torus partition function of the six-vertex model from algebraic geometry"    JHEP 1903 (2019) 152 , by Jesper Jacobson, Yunfeng Jiang, YZ 

"Algebraic geometry and Bethe ansatz. Part I. The quotient ring for BAE"     JHEP 1803 (2018) 087, by Yunfeng Jiang, YZ 

Data

Exact cylinder partition functions of the 6-vertex model , calculated by the algebraic geometry method

computational algebraic geometry data for XXX spin chain, including all data for XXX spin chain up to the length 16. We also have data for the longer spin chain, please request via email if you are interested in.