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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
21.3.20735011601517857380131405824.1 x21 - 4x20 + 8x19 - 12x18 + 12x17 - 16x16 + 44x15 - 94x14 + 160x13 - 200x12 + 184x11 - 132x10 + 52x9 - 8x7 + 4x6 + 16x4 - 36x3 + 32x2 - 16x + 4 \( -\,2^{20}\cdot 11^{7}\cdot 317^{6} \) 21T27 Trivial (GRH)
21.3.20735011601517857380131405824.2 x21 - 2x20 + 2x19 - 4x16 - 6x15 + 8x14 - 16x13 + 30x12 - 24x11 + 22x10 - 48x9 - 4x8 - 30x7 + 8x6 - 4x5 - 12x4 - 10x3 + 12x2 - 4x + 2 \( -\,2^{20}\cdot 11^{7}\cdot 317^{6} \) 21T27 Trivial (GRH)
21.7.75548521976578880970667968954368.1 x21 - 2x20 + x19 - 23x18 - 7x17 + 6x16 + 62x15 + 71x14 + 134x13 - 981x12 + 565x11 + 2065x10 - 3120x9 + 5036x8 - 9383x7 + 9486x6 + 1068x5 - 13797x4 + 16346x3 - 9327x2 + 2191x - 49 \( -\,2^{18}\cdot 23^{9}\cdot 233^{6} \) 21T27 Trivial (GRH)
21.7.75548521976578880970667968954368.2 x21 - x20 - 8x19 + 9x18 + 83x17 - 107x16 - 370x15 + 627x14 + 1058x13 - 1940x12 - 2492x11 + 3886x10 + 3386x9 - 5684x8 - 3489x7 + 3367x6 + 2392x5 - 347x4 - 529x3 + 71x2 - 1 \( -\,2^{18}\cdot 23^{9}\cdot 233^{6} \) 21T27 Trivial (GRH)
21.9.101010740538307114619974951370752.1 x21 - 4x20 + 8x19 - 4x18 - 36x17 + 48x16 - 52x15 + 114x14 - 216x12 + 584x11 - 404x10 - 140x9 + 160x8 - 208x7 + 204x6 - 192x5 + 144x4 - 4x3 - 32x2 + 16x - 4 \( 2^{20}\cdot 37^{7}\cdot 317^{6} \) 21T27 Trivial (GRH)
21.9.101010740538307114619974951370752.2 x21 - 2x20 - 2x19 + 16x18 - 8x17 - 68x16 - 150x15 + 164x14 + 240x13 - 62x12 - 256x11 + 30x10 + 512x9 - 436x8 - 114x7 + 216x6 - 44x5 - 44x4 - 2x3 + 20x2 + 4x - 2 \( 2^{20}\cdot 37^{7}\cdot 317^{6} \) 21T27 Trivial (GRH)
21.21.114304429232803182734215052479732645888.1 x21 - 2x20 - 34x19 + 44x18 + 440x17 - 336x16 - 2735x15 + 1258x14 + 9114x13 - 2548x12 - 17108x11 + 2708x10 + 18395x9 - 1186x8 - 11144x7 - 160x6 + 3584x5 + 284x4 - 539x3 - 66x2 + 28x + 4 \( 2^{32}\cdot 37^{7}\cdot 809^{6} \) 21T27 Trivial (GRH)
21.21.114304429232803182734215052479732645888.2 x21 - 40x19 - 7x18 + 520x17 + 142x16 - 3169x15 - 1000x14 + 10266x13 + 3289x12 - 18576x11 - 5760x10 + 18906x9 + 5676x8 - 10504x7 - 3154x6 + 2952x5 + 888x4 - 350x3 - 96x2 + 12x + 2 \( 2^{32}\cdot 37^{7}\cdot 809^{6} \) 21T27 Trivial (GRH)



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