Dedekind Zeta Functions
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Description: Tabulated by Eyal Goren using Pari.
Tables of Values of Dedekind Zeta Functions The totally real subfield of a cyclotomic field. The calculations of values of zeta functions were done using PARI (Version 2.0.17 (beta), Windows NT ix86 (ix86 kernel), 32-bit version, running on Windows NT '98). A problem is that the size of the values grows very fast. It was found, experimentally, that setting the precision by \p 180 works best (for a larger precision the answer PARI supplies is usually wrong!). Even at this precision at some point PARI announces "precision loss in truncation" and very often produces wrong answers before this annoucement is made. One easily recognizes that the result is wrong by a sharp increase in its size and by the denominator being way too big (either in size or having wrong primes dividing it).
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