Further refine search
Results (displaying all 6 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 14.0.3720502998199975936.1 | x14 - 6x13 + 20x12 - 52x11 + 113x10 - 214x9 + 393x8 - 660x7 + 973x6 - 1226x5 + 1245x4 - 952x3 + 500x2 - 84x + 13 | \( -\,2^{14}\cdot 13^{6}\cdot 19^{6} \) | $D_7^2$ (as 14T13) | Trivial |
| 14.2.50612760739840000000.1 | x14 - 4x13 + 2x12 + 24x11 - 50x10 + 8x9 + 106x8 - 176x7 + 89x6 + 28x5 - 72x4 + 24x3 + 68x2 - 96x + 64 | \( 2^{27}\cdot 5^{7}\cdot 13^{6} \) | $D_7^2$ (as 14T13) | $[2]$ |
| 14.2.197259904663869718528.1 | x14 - 4x13 + 6x11 + 40x10 - 88x9 + 11x8 - 64x7 + 396x6 - 472x5 + 492x4 - 688x3 + 512x2 - 160x + 16 | \( 2^{21}\cdot 11^{7}\cdot 13^{6} \) | $D_7^2$ (as 14T13) | Trivial (GRH) |
| 14.0.17958157356238627647668224.1 | x14 + 15x12 - 78x11 + 232x10 - 832x9 + 3072x8 - 7046x7 + 18996x6 - 39026x5 + 71164x4 - 122460x3 + 151847x2 - 114686x + 47545 | \( -\,2^{14}\cdot 13^{12}\cdot 19^{6} \) | $D_7^2$ (as 14T13) | $[7]$ (GRH) |
| 14.14.22670904930664086126843692355192338431057.1 | x14 - 2x13 - 349x12 - 72x11 + 36188x10 + 56049x9 - 1444514x8 - 2857477x7 + 25343855x6 + 48357153x5 - 195969927x4 - 272636914x3 + 701452818x2 + 485583417x - 963639599 | \( 577^{7}\cdot 1009^{7} \) | $D_7^2$ (as 14T13) | $[2]$ (GRH) |
| 14.14.22670904930664086126843692355192338431057.2 | x14 - 6x13 - 333x12 + 2458x11 + 27489x10 - 244901x9 - 545963x8 + 7571477x7 - 3173277x6 - 73124614x5 + 118055451x4 + 27685502x3 - 168908516x2 + 118708648x - 26099424 | \( 577^{7}\cdot 1009^{7} \) | $D_7^2$ (as 14T13) | $[2]$ (GRH) |