Low Degree Fields Unramified Outside of {∞, 7, 29}

Discriminant class: −203

∞ 7 29 a_{1} a_{2} a_{3} Over p = 7 Over p = 29 2 3 5 11 13 17 19 23
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_{i} 1_{+} 0 203  1^{2} 1_{i} 7∗ 7∗ 1^{2} 1_{+} 29 29 2  2 2 2
C_{2} 4  2  2  2

Discriminant class: −7

∞ 7 29 a_{1} a_{2} a_{3} Over p = 7 Over p = 29 2 3 5 11 13 17 19 23
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 2  2 2 2
C_{2}  2  2  2  2 2

Discriminant class: 1

∞ 7 29 a_{1} a_{2} a_{3} Over p = 7  Over p = 29 2 3 5 11 13 17 19 23
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

Discriminant class: 29

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