Further refine search
Results (displaying all 6 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.1.6408259632309813892912830224557670400000000.1 | x21 + 28x15 - 24x14 + 196x9 - 336x8 + 144x7 - 1372x3 + 3528x2 - 3024x + 864 | \( 2^{26}\cdot 3^{12}\cdot 5^{8}\cdot 7^{28} \) | 21T161 | Trivial (GRH) |
| 21.1.21790180802882062212806097108894332510797824.1 | x21 + 35x15 - 12x14 + 343x9 - 126x8 + 180x7 + 343x3 - 294x2 + 252x - 108 | \( 2^{26}\cdot 3^{18}\cdot 7^{22}\cdot 11^{8} \) | 21T161 | Trivial (GRH) |
| 21.5.46733779666658912130977835785983849692699562082304.1 | x21 + 168x15 - 144x14 - 1176x9 + 2016x8 - 864x7 - 9604x3 + 24696x2 - 21168x + 6048 | \( 2^{22}\cdot 3^{30}\cdot 7^{34} \) | 21T161 | Trivial (GRH) |
| 21.5.375297089550992134559186764062805170023268052107264.1 | x21 - 21x15 - 18x14 - 441x9 - 756x8 - 324x7 - 343x3 - 882x2 - 756x - 216 | \( 2^{26}\cdot 3^{40}\cdot 7^{28} \) | 21T161 | Trivial (GRH) |
| 21.9.712650629267178951535542892463379765704896394944760137541222400000000.1 | x21 - 420x15 - 360x14 + 56448x9 + 96768x8 + 41472x7 - 2403744x3 - 6181056x2 - 5298048x - 1513728 | \( 2^{32}\cdot 3^{50}\cdot 5^{8}\cdot 7^{22}\cdot 73^{6} \) | 21T161 | Trivial (GRH) |
| 21.9.199436785556647682323353582644705335384911782862870773829206016000000000000.1 | x21 - 714x15 - 612x14 + 118335x9 + 202860x8 + 86940x7 - 960400x3 - 2469600x2 - 2116800x - 604800 | \( 2^{40}\cdot 3^{20}\cdot 5^{12}\cdot 7^{34}\cdot 13^{14} \) | 21T161 | $[3]$ (GRH) |