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Results (displaying all 15 matches)

Label Polynomial Discriminant Galois group Class group
22.20.7198079267989980836471065337135104.1 x22 - 24x20 + 220x18 - 980x16 + 2267x14 - 2696x12 + 1324x10 + 265x8 - 563x6 + 215x4 - 29x2 + 1 \( -\,2^{22}\cdot 23^{20} \) 22T28 Trivial (GRH)
22.20.15891297445653813609959315666834999.1 x22 - 11x21 + 41x20 - 25x19 - 223x18 + 525x17 + 92x16 - 1654x15 + 1480x14 + 1772x13 - 3759x12 + 506x11 + 3901x10 - 2800x9 - 1867x8 + 2565x7 + 335x6 - 1066x5 - 4x4 + 202x3 + 3x2 - 14x - 1 \( -\,79\cdot 1451^{2}\cdot 18521\cdot 71823490019^{2} \) 22T53 Trivial (GRH)
22.20.41132601907967489839076730415672831.1 x22 - 11x21 + 39x20 - 5x19 - 285x18 + 513x17 + 519x16 - 2214x15 + 571x14 + 4063x13 - 3308x12 - 3539x11 + 4878x10 + 1039x9 - 3472x8 + 490x7 + 1272x6 - 427x5 - 239x4 + 95x3 + 25x2 - 5x - 1 \( -\,151\cdot 2053^{2}\cdot 33769\cdot 43747835269^{2} \) 22T53 Trivial (GRH)
22.20.165555823163769559238834502754107392.1 x22 - 23x20 + 207x18 - 897x16 + 1679x14 + 483x12 - 7636x10 + 13041x8 - 9660x6 + 3312x4 - 483x2 + 23 \( -\,2^{22}\cdot 23^{21} \) 22T28 Trivial (GRH)
22.20.56501459388151144478039723653407440896.1 x22 - 25x20 + 250x18 - 1243x16 + 2879x14 - 334x12 - 14126x10 + 33691x8 - 35857x6 + 18585x4 - 4105x2 + 289 \( -\,2^{22}\cdot 1297^{10} \) 22T32 Trivial (GRH)
22.20.56501459388151144478039723653407440896.2 x22 - 28x20 + 296x18 - 1503x16 + 3716x14 - 3348x12 - 2647x10 + 7446x8 - 5457x6 + 1686x4 - 192x2 + 1 \( -\,2^{22}\cdot 1297^{10} \) 22T32 Trivial (GRH)
22.20.282486367499249645189922024341045561876.1 x22 - 3x21 - 17x20 + 53x19 + 120x18 - 388x17 - 461x16 + 1529x15 + 1071x14 - 3536x13 - 1601x12 + 4931x11 + 1610x10 - 4134x9 - 1099x8 + 2031x7 + 485x6 - 555x5 - 128x4 + 76x3 + 18x2 - 4x - 1 \( -\,2^{2}\cdot 5647\cdot 36767\cdot 31618751\cdot 10757635112949841811531 \) 22T59 Trivial (GRH)
22.20.245193039241591144351217789804876939315088.1 x22 - x21 - 22x20 + 21x19 + 204x18 - 185x17 - 1038x16 + 888x15 + 3162x14 - 2526x13 - 5908x12 + 4344x11 + 6683x10 - 4429x9 - 4388x8 + 2536x7 + 1577x6 - 744x5 - 294x4 + 95x3 + 28x2 - 4x - 1 \( -\,2^{4}\cdot 3^{4}\cdot 19^{2}\cdot 31\cdot 65380800771598157\cdot 258573494153022619 \) 22T59 Trivial (GRH)
22.20.1580153645858805893796455628954412194463744.1 x22 - 55x20 + 1199x18 - 13299x16 + 81114x14 - 279642x12 + 532422x10 - 491194x8 + 80201x6 + 190157x4 - 119053x2 + 18225 \( -\,2^{36}\cdot 7^{10}\cdot 11^{22} \) 22T37 Trivial (GRH)
22.20.6320614583435223575185822515817648777854976.1 x22 - 55x20 + 1177x18 - 12639x16 + 73898x14 - 237402x12 + 390258x10 - 246906x8 - 33011x6 + 40249x4 - 451x2 + 1 \( -\,2^{38}\cdot 7^{10}\cdot 11^{22} \) 22T37 Trivial (GRH)
22.20.15646172003756569249283257910156250000000000.1 x22 - 61x20 + 1150x18 - 7485x16 - 13755x14 + 419313x12 - 2209803x10 + 5513775x8 - 7283940x6 + 4978855x4 - 1483189x2 + 85264 \( -\,2^{10}\cdot 3^{20}\cdot 5^{20}\cdot 11^{16} \) 22T36 Trivial (GRH)
22.20.78230860018782846246416289550781250000000000.1 x22 - 80x20 + 2125x18 - 21360x16 + 24165x14 + 745935x12 - 3014745x10 + 3905820x8 - 1835760x6 + 250235x4 - 8065x2 + 20 \( -\,2^{10}\cdot 3^{20}\cdot 5^{21}\cdot 11^{16} \) 22T36 $[2]$ (GRH)
22.20.4129233136056857981979443884256982828952059904.1 x22 - 68x20 + 1749x18 - 21878x16 + 146579x14 - 538577x12 + 1028049x10 - 796919x8 - 100770x6 + 299644x4 - 34200x2 + 729 \( -\,2^{22}\cdot 74843^{8} \) 22T42 Trivial (GRH)
22.20.4129233136056857981979443884256982828952059904.2 x22 - 48x20 + 773x18 - 5165x16 + 14676x14 - 11976x12 - 15879x10 + 31691x8 - 16674x6 + 3536x4 - 313x2 + 9 \( -\,2^{22}\cdot 74843^{8} \) 22T42 Trivial (GRH)
22.20.2360782888136677539846811675588590672634700789304705468856315278608937941898270750476788224860384348791111680.1 x22 - 400x20 + 67179x18 - 6153936x16 + 332234520x14 - 10449620808x12 + 161768261952x10 + 150453098976x8 - 47964749150331x6 + 697620189720184x4 - 3355033131829681x2 + 638422240164720 \( -\,2^{70}\cdot 3^{21}\cdot 5\cdot 11\cdot 29\cdot 43\cdot 337^{8}\cdot 310501^{8}\cdot 193926709 \) 22T44 n/a


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