Low Degree Fields Unramified Outside of {∞, 67, 97}

Discriminant class: −6499

∞ 67 97 a_{1} a_{2} a_{3}  Over p = 67  Over p = 97  2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d s f^{e} c_{w} d  s 23 29 31 37 41 43 47 53
1. 1_{k} 1_{k} 1_{−} 0 6499  1^{2} 1_{k} 67 67 1^{2} 1_{−} 97∗ 97∗ 2 2  2  2 2
C_{2} 14  2 2 2 2  2  2

Discriminant class: −67

∞ 67 97 a_{1} a_{2} a_{3}  Over p = 67  Over p = 97 2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d  s f^{e} c_{w} d s 23 29 31 37 41 43 47 53
2. 1_{k} 1_{i} 0_{+} 0 67  1^{2} 1_{i} 67∗ 67∗ 2 0_{+} ∗ ∗ 2 2 2 2 2 2
C_{2} 2 2 2 2

Discriminant class: 1

∞ 67 97 a_{1} a_{2} a_{3} Over p = 67 Over p = 97 2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d s f^{e} c_{w} d s 23 29 31 37 41 43 47 53
3. 0_{+} 2_{+} 0_{+} -1 -22  -5 1^{3} 2_{+} 1  3 0_{+} 1  3  3 3 3 3 3
C_{3}  3 3 3 3 3  3
4. 0_{+} 0_{+} 2_{+} -1 -32  79  1^{3} 2_{+} 1  3 3 3 3 3 3 3
C_{3}  3 3 3 3 3 3  3
5. 0_{+} 2_{+} 2_{+} -1 -2166 2407 1^{3} 2_{+} 1  1^{3} 2_{+} 1  3 3 3  3 3  3
C_{3} 3  3  3 3 3
6. 0_{+} 2_{+} 2_{+} 1 -2166 -21904 1^{3} 2_{+} 1  1^{3} 2_{+} 1  3 3 3  3 3
C_{3} 3  3 3 3  3 3 3 3

Discriminant class: 97

∞ 67 97 a_{1} a_{2} a_{3} Over p = 67  Over p = 97 2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d s f^{e} c_{w} d s 23 29 31 37 41 43 47 53
7. 0_{+} 0_{+} 1_{+} 0 -97  2 0_{+} ∗ ∗ 1^{2} 1_{+} 97 97  2 2  2 2 2
C_{2}  2 2  2 2