Low Degree Fields Ramifying Above {7, 13, 29}

Discriminant class: −2639

∞ 7 13 29 a_{1} a_{2} a_{3} Over p = 7  Over p = 13  Over p = 29 2 3 5 11 17 19 23 31
G h  f^{e} c_{w} d s f^{e} c_{w} d  s f^{e} c_{w} d s 37 41 43 47 53 59 61 67
1. 1_{k} 1_{k} 1_{−} 1_{+} 0 2639  1^{2} 1_{k} 7 7 1^{2} 1_{−} 13∗ 13∗ 1^{2} 1_{+} 29 29  2  2
C_{2} 64  2 2 2  2

Discriminant class: 29

∞ 7 13 29 a_{1} a_{2} a_{3} Over p = 7 Over p = 13 Over p = 29 2 3 5 11 17 19 23 31
G h  f^{e} c_{w} d s f^{e} c_{w} d s f^{e} c_{w} d s 37 41 43 47 53 59 61 67
2. 0_{+} 2_{+} 2_{+} 1_{+} -1 -121 246 1^{3} 2_{+} 1 1^{3} 2_{+} 1 1^{2} 1_{+} 29 29 2 2 2 2 2 3 2
S_{3} 9  2 2 2 2 3 3 2 3