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This document contains additional information for the paper: J. Quer. Fieldsof definition of building blocks, Math. Comp. 78 (2009), no. 265, pp. 537--554.  It contains a description of the implementation in Magma of the algorithmsand computational techniques described in that paper, and also several tableswith data that were elaborated using this implementation.

Package description and tables for the paper "Fields of definition of building blocks"