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Results (displaying all 8 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 14.0.56316949686099.1 | x14 - 2x13 + 6x12 - 11x11 + 19x10 - 26x9 + 33x8 - 35x7 + 33x6 - 26x5 + 19x4 - 10x3 + 6x2 - x + 1 | \( -\,3^{7}\cdot 2953^{3} \) | $D_7 \wr C_2$ (as 14T20) | Trivial |
| 14.2.9242067299140625.1 | x14 - 2x13 + 5x12 - 5x11 + 8x10 - 10x9 + x8 - 2x7 - 5x6 + 8x5 + 10x4 + 2x3 - 6x2 - x + 1 | \( 5^{7}\cdot 4909^{3} \) | $D_7 \wr C_2$ (as 14T20) | Trivial |
| 14.0.55750667696881664.1 | x14 - 2x12 - 4x11 - 4x10 + 6x9 + 22x8 + 10x7 - 4x6 - 52x5 - 16x4 - 2x3 + 41x2 + 18x + 2 | \( -\,2^{14}\cdot 13^{6}\cdot 89^{3} \) | $D_7 \wr C_2$ (as 14T20) | Trivial |
| 14.2.346634844681273344.1 | x14 - 2x13 + 9x12 - 8x11 + 18x10 + 12x9 - 14x8 + 64x7 - 31x6 + 94x5 - 103x4 + 104x3 - 24x2 + 8 | \( 2^{33}\cdot 7^{9} \) | $D_7 \wr C_2$ (as 14T20) | Trivial |
| 14.8.1823606433479609375.1 | x14 - 5x13 + 5x12 + 11x11 - 26x10 + 17x9 - 4x8 - x7 + 50x6 - 95x5 + x4 + 76x3 + 3x2 - 18x - 4 | \( -\,5^{7}\cdot 28579^{3} \) | $D_7 \wr C_2$ (as 14T20) | Trivial |
| 14.14.2633084517175978360832.1 | x14 - 6x13 - 5x12 + 88x11 - 80x10 - 412x9 + 638x8 + 744x7 - 1558x6 - 496x5 + 1504x4 + 116x3 - 491x2 - 58x - 1 | \( 2^{21}\cdot 107881^{3} \) | $D_7 \wr C_2$ (as 14T20) | Trivial (GRH) |
| 14.8.52251215374235323809792.1 | x14 - 4x13 + 7x12 - 14x11 - 38x10 + 132x9 - 109x8 + 230x7 + 394x6 - 580x5 - 769x4 + 474x3 + 325x2 - 52x - 8 | \( -\,2^{14}\cdot 3^{7}\cdot 11^{3}\cdot 13^{6}\cdot 61^{3} \) | $D_7 \wr C_2$ (as 14T20) | Trivial |
| 14.14.823802947443529170390625.1 | x14 - 2x13 - 34x12 + 47x11 + 441x10 - 324x9 - 2618x8 + 332x7 + 6281x6 + 2236x5 - 2272x4 - 299x3 + 373x2 - 70x + 4 | \( 5^{7}\cdot 11^{3}\cdot 311^{3}\cdot 641^{3} \) | $D_7 \wr C_2$ (as 14T20) | Trivial (GRH) |