Further refine search
Results (displaying both matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 23.23.434498173468775074445875189356350743903198920600715375079386035604631941932241.1 | x23 - 4324x21 - 6486x20 + 5382299x19 - 23233933x18 - 2724444300x17 + 29686323629x16 + 512000507352x15 - 10294412120640x14 + 6885232378569x13 + 1102283075184770x12 - 8796561210816172x11 - 7798660667836453x10 + 474243077814357335x9 - 2826995282155771181x8 + 5949260040976823570x7 + 9167317157190582864x6 - 81864894718917833350x5 + 204445625295748936871x4 - 269173314235796280477x3 + 199912058984322799237x2 - 78929282232647458634x + 12862216057817467245 | \( 23^{30}\cdot 47^{22} \) | $C_{23}:C_{11}$ (as 23T3) | $[23]$ (GRH) |
| 23.23.931347256889446325436632107655346061164193665348344821578377438399536607931200329.1 | x23 - 3047x21 - 1939x20 + 3753073x19 + 4709554x18 - 2419508022x17 - 4712063343x16 + 888193853662x15 + 2526286588076x14 - 189575719371646x13 - 765546003229229x12 + 22707143025850299x11 + 127640804228029831x10 - 1307367517981252668x9 - 10639739683422990020x8 + 14340621876424475050x7 + 328159724854144381281x6 + 1018760816151118188540x5 + 862348894552066379264x4 - 791389848161205290501x3 - 1226738150814548351153x2 - 88548356899300876754x + 4639460945705837181 | \( 23^{20}\cdot 277^{22} \) | $C_{23}:C_{11}$ (as 23T3) | n/a |