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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
22.0.2988811416117414420033765003.1 x22 - x21 - 4x20 + 3x19 + 11x18 - 6x17 - 18x16 + 2x15 + 26x14 - 8x13 - 18x12 + 23x11 + 12x10 - 27x9 - 30x8 + 23x7 + 19x6 + 3x5 + 5x4 - 26x3 + 8x2 + 2x + 1 \( -\,3^{11}\cdot 167^{10} \) $D_{22}$ (as 22T3) Trivial (GRH)
22.0.70765994783241803539463274496.1 x22 - 9x20 + 37x18 - 94x16 + 166x14 - 214x12 + 207x10 - 149x8 + 81x6 - 34x4 + 12x2 + 1 \( -\,2^{22}\cdot 167^{10} \) $D_{22}$ (as 22T3) Trivial (GRH)
22.2.499131506491608208145638755501.1 x22 - 2x21 + 5x20 - 4x19 + 4x18 - 14x17 + 63x16 - 228x15 + 497x14 - 686x13 + 792x12 - 793x11 + 1821x10 - 3315x9 + 78x8 + 1215x7 + 1528x6 + 168x5 - 351x4 - 826x3 - 4x2 + 39x - 5 \( 3^{11}\cdot 167^{11} \) $D_{22}$ (as 22T3) Trivial (GRH)
22.2.823824605709428474533642578125.1 x22 - x21 + 14x20 - 11x19 + 83x18 - 46x17 + 290x16 - 162x15 + 710x14 - 312x13 + 966x12 - 47x11 + 930x10 + 311x9 + 628x8 + 309x7 + 259x6 + 141x5 + 87x4 + 44x3 + 16x2 + 2x - 1 \( 5^{11}\cdot 167^{10} \) $D_{22}$ (as 22T3) Trivial (GRH)
22.0.2386346823270991037094903689868490203.1 x22 - 5x21 + 29x20 - 88x19 + 339x18 - 873x17 + 2485x16 - 4849x15 + 10031x14 - 14957x13 + 25292x12 - 30651x11 + 43592x10 - 40589x9 + 48954x8 - 34229x7 + 36905x6 - 15206x5 + 13618x4 - 596x3 + 3281x2 - 280x + 25 \( -\,3^{11}\cdot 1297^{10} \) $D_{22}$ (as 22T3) $[241]$ (GRH)
22.0.20375776275370821024303050129100543619.1 x22 - 11x21 + 90x20 - 515x19 + 2404x18 - 9153x17 + 29609x16 - 81730x15 + 195276x14 - 404718x13 + 730608x12 - 1147506x11 + 1565057x10 - 1843981x9 + 1862690x8 - 1595475x7 + 1141091x6 - 667142x5 + 309476x4 - 109065x3 + 27307x2 - 4313x + 323 \( -\,19^{11}\cdot 211^{10} \) $D_{22}$ (as 22T3) $[23]$ (GRH)
22.22.657763557836310291639991612795361328125.1 x22 - x21 - 44x20 + 27x19 + 766x18 - 243x17 - 6909x16 + 676x15 + 35042x14 + 1614x13 - 100878x12 - 11106x11 + 158022x10 + 13148x9 - 122742x8 + 4085x7 + 40785x6 - 4986x5 - 4409x4 + 486x3 + 133x2 - 5x - 1 \( 5^{11}\cdot 1297^{10} \) $D_{22}$ (as 22T3) Trivial (GRH)
22.22.115714988826933543891025354042178438955008.1 x22 - 10x21 - 5x20 + 348x19 - 782x18 - 3756x17 + 14826x16 + 11078x15 - 105193x14 + 51552x13 + 328609x12 - 383636x11 - 385652x10 + 777826x9 - 51957x8 - 501290x7 + 287700x6 - 24976x5 - 17977x4 + 4628x3 - 302x2 - 8x + 1 \( 2^{33}\cdot 1297^{10} \) $D_{22}$ (as 22T3) Trivial (GRH)



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