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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.3.1096679211019876560593417678536851779173227.1 | x21 - 182x18 + 14184x15 - 613561x12 + 15908935x9 - 247237787x6 + 2132151614x3 - 7870564153 | \( -\,3^{7}\cdot 13^{6}\cdot 109^{6}\cdot 277^{2}\cdot 907^{2}\cdot 31327^{2} \) | 21T118 | $[3]$ (GRH) |
| 21.3.1666765837467574334243731387700103650394843.1 | x21 - 187x18 + 14987x15 - 667285x12 + 17825502x9 - 285687336x6 + 2543424776x3 - 9702940159 | \( -\,3^{7}\cdot 11^{2}\cdot 13^{6}\cdot 19^{2}\cdot 71^{2}\cdot 109^{6}\cdot 653881^{2} \) | 21T118 | $[3, 3]$ (GRH) |
| 21.9.81481499745172593520904633512372136771832805573.1 | x21 - x20 - 137x19 - 55x18 + 8128x17 + 14560x16 - 257738x15 - 845833x14 + 4193300x13 + 23288610x12 - 17244907x11 - 323062916x10 - 489872337x9 + 1711520805x8 + 7122604523x7 + 5785803662x6 - 20281096725x5 - 67342237893x4 - 95716966884x3 - 76348620241x2 - 33392383702x - 6277898279 | \( 13^{9}\cdot 61^{2}\cdot 109^{6}\cdot 35089331371^{2} \) | 21T118 | $[3]$ (GRH) |
| 21.7.407923083189506478853175676949380887024263757824.1 | x21 - 2x20 - 71x19 + 52x18 + 2290x17 + 1160x16 - 40838x15 - 69296x14 + 389441x13 + 1226046x12 - 1253691x11 - 9909492x10 - 9327424x9 + 27416228x8 + 82101708x7 + 75593728x6 - 52429836x5 - 303076248x4 - 638667244x3 - 923722480x2 - 897312912x - 448932688 | \( -\,2^{36}\cdot 193^{2}\cdot 809^{6}\cdot 23842201^{2} \) | 21T118 | $[3]$ (GRH) |