dear John,

thanks for your hints.

|I point out that there is a nice method of John Dixon
|for exact computation with cyclotomic integers by working
|over a well chosen finite field F_p.
|For algebraic integers there is the example of Darmon, Ford for
|reconstructing exact values using p-adics. 
|This is in Comm in Algebra 17, (1989).
|Lattice reduction may also be used.
|John McKay

. Does someone has a good pointer or link to start?
. Does someone know about realisations/examples/lectures using GAP?

I am very interested in reading more about what
John sketched for exact computations using the above methods.

Any hints are very welcome.

Sincerely
Wolfgang



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