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Label Polynomial Discriminant Galois group Class group
21.1.280...625.1 x21 - 7x20 + 35x19 - 112x18 + 266x17 - 490x16 + 693x15 - 1355x14 + 3360x13 - 7224x12 + 12166x11 - 16709x10 + 21700x9 - 32417x8 + 39987x7 - 39067x6 + 26600x5 - 12320x4 + 4389x3 - 1575x2 + 945x - 405 \( 5^{14}\cdot 7^{28} \) $D_{21}$ (as 21T5) trivial (GRH)
21.1.140...961.1 x21 - 9x19 - x18 + 90x17 + 33x16 - 517x15 + 792x14 + 2043x13 - 5479x12 + 1746x11 + 30675x10 - 29471x9 - 28809x8 + 255240x7 - 240039x6 + 419256x5 + 41958x4 + 4131x3 + 176418x2 - 546750x + 270459 \( 3^{28}\cdot 151^{10} \) $D_{21}$ (as 21T5) trivial (GRH)
21.21.309...329.1 x21 - 2x20 - 322x19 + 664x18 + 35703x17 - 43578x16 - 1932617x15 + 583246x14 + 56351019x13 + 25506215x12 - 902360226x11 - 919804797x10 + 7604045846x9 + 10809094658x8 - 29542123459x7 - 49423979231x6 + 38245288476x5 + 64981505313x4 - 17641871062x3 - 20539678739x2 - 3015176110x + 43025225 \( 31^{14}\cdot 577^{10} \) $D_{21}$ (as 21T5) $[3]$ (GRH)
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