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 |