Some interesting number fields

Label	Description
2.0.4.1	Gaussian rational numbers
3.1.23.1	First cubic field
3.3.49.1	First cyclic cubic field
3.1.431.1	First non-monogenic field by degree and absolute discriminant
3.1.503.1	Non-monogenic field
4.0.117.1	First quartic field
4.0.125.1	First cyclic quartic field
4.0.144.1	First biquadratic field
4.0.225.1	First non-monogenic field by absolute discriminant
4.0.229.1	First $S_4$ field
4.0.3136.1	First $A_4$ field
5.1.1609.1	First quintic field
5.1.2209.1	First $D_5$ field
5.5.14641.1	First cyclic quintic field
5.1.18496.1	First $A_5$ field
5.1.35152.1	First $F_5$ field
6.0.9747.1	First sextic field
14.2.20325604337285010030592.1	Nonsolvable field ramified at 2 and 13
17.1.604462909807314587353088.1	Harbater number field
18.2.4768875488962616064464333777.1	Field associated with 17-torsion on an elliptic curve
18.2.40254497110927943179349807054456171205137.1	Nonsolvable field ramified at only 17
20.2.558854584859141340505879659895771.1	The 19-division field for CM elliptic curve for $\Q(\sqrt{-7})$
20.2.206007596521214410095208558252435839890349094339.1	Field associated with 19-torsion on an elliptic curve
25.5.1694065894508600678136645001359283924102783203125.1	Nonsolvable field ramified only at 5