Low Degree Fields Unramified Outside of {∞, 7, 13}

Discriminant class: −91

∞ 7 13 a_{1} a_{2} a_{3} Over p = 7  Over p = 13  2 3 5 11 17 19 23 29
G h  f^{e} c_{w} d s f^{e} c_{w} d  s 31 37 41 43 47 53 59 61
1. 1_{k} 1_{k} 1_{−} 0 91  1^{2} 1_{k} 7 7 1^{2} 1_{−} 13∗ 13∗ 2 2  2 2
C_{2} 2  2  2

Discriminant class: −7

∞ 7 13 a_{1} a_{2} a_{3} Over p = 7 Over p = 13 2 3 5 11 17 19 23 29
G h  f^{e} c_{w} d s f^{e} c_{w} d s 31 37 41 43 47 53 59 61
2. 1_{k} 1_{i} 0_{+} 1 2  1^{2} 1_{i} 7∗ 7∗ 2 0_{+} ∗ ∗  2 2  2 2
C_{2}  2  2  2  2 2

Discriminant class: 1

∞ 7 13 a_{1} a_{2} a_{3} Over p = 7  Over p = 13 2 3 5 11 17 19 23 29
G h  f^{e} c_{w} d s f^{e} c_{w} d s 31 37 41 43 47 53 59 61
3. 0_{+} 2_{+} 0_{+} -1 -2 1 1^{3} 2_{+} 1  3 3 3 3 3 3 3
C_{3}  3 3  3 3 3 3
4. 0_{+} 0_{+} 2_{+} -1 -4 -1 3 0_{+} 1  1^{3} 2_{+} 1  3 3  3 3 3 3 3
C_{3}  3 3 3  3 3
5. 0_{+} 2_{+} 2_{+} 1 -30 27 1^{3} 2_{+} 1  1^{3} 2_{+} 1  3  3  3  3 3
C_{3} 3  3 3 3 3 3 3 3
6. 0_{+} 2_{+} 2_{+} -1 -30 64 1^{3} 2_{+} 1  1^{3} 2_{+} 1  3 3 3  3  3
C_{3} 3  3  3 3 3 3  3

Discriminant class: 13

∞ 7 13 a_{1} a_{2} a_{3} Over p = 7  Over p = 13 2 3 5 11 17 19 23 29
G h  f^{e} c_{w} d s f^{e} c_{w} d s 31 37 41 43 47 53 59 61
7. 0_{+} 0_{+} 1_{+} 1 -3  2 0_{+} ∗ ∗ 1^{2} 1_{+} 13 13 2  2 2  2
C_{2}  2 2 2  2  2