Totally positive algebraic integers of small trace. (English) Zbl 0534.12002

Let \(\alpha\) be a totally positive algebraic integer, with the difference between its trace and its degree at most 6. We describe an algorithm for finding all such \(\alpha\), and display the resulting list of 1314 values of \(\alpha\) which the algorithm produces.


11R04 Algebraic numbers; rings of algebraic integers
11R80 Totally real fields
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