Totally positive algebraic integers of small trace
Annales de l'Institut Fourier, Tome 34 (1984) no. 3, p. 1-28
Soit $\alpha$ un entier algébrique totalement positif, dont la différence entre la trace et le degré n’excède pas 6. On décrit un algorithme pour trouver tous les $\alpha$ de ce type, et on donne la table des 1314 valeurs de $\alpha$ issues de l’algorithme.
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.
@article{AIF_1984__34_3_1_0,
author = {Smyth, Chistopher J.},
title = {Totally positive algebraic integers of small trace},
journal = {Annales de l'Institut Fourier},
publisher = {Imprimerie Louis-Jean},
volume = {34},
number = {3},
year = {1984},
pages = {1-28},
doi = {10.5802/aif.975},
zbl = {0534.12002},
mrnumber = {86f:11091},
language = {en},
url = {http://www.numdam.org/item/AIF_1984__34_3_1_0}
}

Smyth, Chistopher J. Totally positive algebraic integers of small trace. Annales de l'Institut Fourier, Tome 34 (1984) no. 3, pp. 1-28. doi : 10.5802/aif.975. https://www.numdam.org/item/AIF_1984__34_3_1_0/

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