Geodesic
On algebraic number fields of degree five
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1982), pp. 76-80

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An algorithm for determining all algebraic number fields of degree $5$ with signatures $\tau=1$, $\tau=2$ and bounded discriminants is proposed. The main idea of this algorithm based on an author's theorem. The results of calculation for the fields with discriminants $D\le6000$ and $D\le5000$ are enumerated. 
@article{VMUMM_1982_2_a17,
     author = {D. G. Rish},
     title = {On algebraic number fields of degree five},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {76--80},
     publisher = {mathdoc},
     number = {2},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a17/}
}
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D. G. Rish. On algebraic number fields of degree five. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1982), pp. 76-80. http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a17/