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Label Polynomial Discriminant Galois group Class group
24.0.925...625.1 x24 - x23 - 2x22 + 3x21 + x20 - 2x19 + x18 + 34x17 - 37x16 - 59x15 + 98x14 + 17x13 - 45x12 + 34x11 + 392x10 - 472x9 - 592x8 + 1088x7 + 64x6 - 256x5 + 256x4 + 1536x3 - 2048x2 - 2048x + 4096 \( 5^{12}\cdot 7^{20}\cdot 41^{6} \) $C_6\times D_4$ (as 24T38) $[2, 2]$ (GRH)
24.0.132...784.1 x24 - 2x23 - x22 + 8x21 - 5x20 - 22x19 + 39x18 - 102x17 + 107x16 + 184x15 - 573x14 + 2x13 + 1911x12 - 1908x11 + 766x10 + 360x9 - 740x8 + 432x7 - 136x6 + 352x5 - 272x4 + 64x3 + 96x2 - 128x + 64 \( 2^{36}\cdot 7^{20}\cdot 17^{6} \) $C_6\times D_4$ (as 24T38) $[6]$ (GRH)
24.0.448...689.1 x24 - x23 - x21 - x20 + 6x19 - 3x18 - 10x17 + 5x16 - 13x15 + 40x14 + 3x13 - 37x12 + 6x11 + 160x10 - 104x9 + 80x8 - 320x7 - 192x6 + 768x5 - 256x4 - 512x3 - 2048x + 4096 \( 7^{20}\cdot 13^{12}\cdot 17^{6} \) $C_6\times D_4$ (as 24T38) $[4, 4]$ (GRH)
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