The totally real $A_6$ extension of degree 6 with minimum discriminant
Ford, David ; Pohst, Michael
Experiment. Math., Tome 2 (1993) no. 4, p. 231-232 / Harvested from Project Euclid
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The totally real algebraic number field F of degree 6 with Galois group $A_6$ and minimum discriminant is determined. It is unique up to isomorphy, and is generated by a root of the polynomial $t^6 - 24 t^4 + 21 t^2 + 9 t + 1$ over the rationals. We also give an integral basis and list the fundamental units and class number of F
Publié le : 1993-05-14
Classification:  11R20,  11R80,  11Y40 
@article{1062620833,
     author = {Ford, David and Pohst, Michael},
     title = {The totally real $A\_6$ extension of degree 6 with minimum discriminant},
     journal = {Experiment. Math.},
     volume = {2},
     number = {4},
     year = {1993},
     pages = { 231-232},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1062620833}
}

Ford, David; Pohst, Michael. The totally real $A_6$ extension of degree 6 with minimum discriminant. Experiment. Math., Tome 2 (1993) no. 4, pp.  231-232. http://gdmltest.u-ga.fr/item/1062620833/