Low Degree Fields Ramifying Above {37, 59}

Discriminant class: −2183

∞ 37 59 a_{1} a_{2} a_{3}  Over p = 37  Over p = 59 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 41 43 47 53 61
1. 1_{k} 1_{−} 1_{k} 0 2183  1^{2} 1_{−} 37∗ 37∗ 1^{2} 1_{k} 59 59  2  2  2 2
C_{2} 42  2  2
2. 1_{k} 1_{−} 1_{k} 0  -1 -9 1^{2} 1_{−} 37∗ 37∗ 1^{2} 1_{k} 59 59 3  2 3 2 3 2 2
S_{3} 2  2 3 3  2 3 3