Somos' relations in terms of Gröbner basis of Ideal of Relations of Eta Functions

Note that we do not provide expression for every entry in Somos' collection, since for higher degrees these expression are very big. They can be computed by ordinary Gröbner basis techniques as follows.

  1. Translate a relation from Somos' table into E-notation. http://axiom-wiki.newsynthesis.org/SandboxSomos2Eta
  2. Reduce this relation to zero modulo the Gröbner basis g1, ..., gn of the eta relations while keeping track of the cofactors in this reduction.

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Ralf Hemmecke
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