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Label Polynomial Discriminant Galois group Class group
21.9.2523828389200110188894232441.1 x21 - 9x19 + 3x17 + 66x15 - 75x14 - 90x13 + 198x12 - 21x11 + 63x9 - 177x8 + 54x7 + 45x6 - 51x5 + 18x4 - 8x3 - 3x2 + 3 \( 3^{34}\cdot 73^{6} \) 21T44 Trivial (GRH)
21.9.3326751700248238687839567609.1 x21 - 6x20 + 12x19 - 2x18 - 27x17 + 36x16 - 39x15 + 180x14 - 396x13 + 183x12 + 558x11 - 738x10 - 339x9 + 1035x8 + 27x7 - 936x6 + 27x5 + 621x4 + 99x3 - 189x2 - 81x - 9 \( 3^{36}\cdot 53^{6} \) 21T44 Trivial (GRH)
21.21.4020583887700065748020343503016809.1 x21 - 36x19 - 30x18 + 450x17 + 603x16 - 2529x15 - 4401x14 + 6687x13 + 14828x12 - 7965x11 - 25767x10 + 2313x9 + 23868x8 + 3222x7 - 11469x6 - 2763x5 + 2628x4 + 692x3 - 243x2 - 45x + 9 \( 3^{36}\cdot 547^{6} \) 21T44 Trivial (GRH)
21.21.3225600451670981203653263815902232576.1 x21 - 7x20 - 23x19 + 222x18 + 211x17 - 3052x16 - 1066x15 + 23585x14 + 4211x13 - 111319x12 - 18090x11 + 327519x10 + 67407x9 - 587331x8 - 157934x7 + 593915x6 + 197792x5 - 276738x4 - 106383x3 + 26935x2 + 9946x - 113 \( 2^{18}\cdot 7^{14}\cdot 1621^{6} \) 21T44 Trivial (GRH)



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