Global number field search results

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Degree	Signature	Galois group	Class number	Class group
Regulator	Num. ramified primes	Ramified primes		Unramified primes
CM field	Discriminant		Root discriminant

Results (displaying matches 1-50 of 99)

Label	Polynomial	Discriminant	Galois group	Class group
22.22.6992272712228843238468603052945581.1	x^22 - x^21 - 22x^20 + 22x^19 + 208x^18 - 208x^17 - 1103x^16 + 1103x^15 + 3589x^14 - 3589x^13 - 7359x^12 + 7359x^11 + 9385x^10 - 9385x^9 - 7060x^8 + 7060x^7 + 2807x^6 - 2807x^5 - 482x^4 + 482x^3 + 24x^2 - 24x + 1	\( 3^{11}\cdot 23^{21} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.17471883970840462300304775614373553.1	x^22 - 44x^20 + 816x^18 - 8336x^16 + 51512x^14 - 199186x^12 + 481348x^10 - 702109x^8 + 569938x^6 - 220847x^4 + 35007x^2 - 1297	\( 1297^{11} \)	$D_{11}$ (as 22T2)	Trivial (GRH)
22.22.83796671451884098775580820361328125.1	x^22 - x^21 - 31x^20 + 26x^19 + 379x^18 - 254x^17 - 2365x^16 + 1195x^15 + 8247x^14 - 2967x^13 - 16780x^12 + 4100x^11 + 20269x^10 - 3174x^9 - 14356x^8 + 1331x^7 + 5656x^6 - 301x^5 - 1100x^4 + 50x^3 + 81x^2 - 6x - 1	\( 5^{11}\cdot 23^{20} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.115836063662590130514138078564453125.1	x^22 - 3x^21 - 33x^20 + 88x^19 + 421x^18 - 1001x^17 - 2683x^16 + 5647x^15 + 9370x^14 - 17186x^13 - 18923x^12 + 29509x^11 + 23007x^10 - 28981x^9 - 17000x^8 + 15763x^7 + 7336x^6 - 4249x^5 - 1613x^4 + 425x^3 + 118x^2 - 13x - 1	\( 5^{11}\cdot 421^{2}\cdot 115692385433^{2} \)	22T47	Trivial (GRH)
22.22.147861244626519891422962699267578125.1	x^22 - x^21 - 34x^20 + 25x^19 + 435x^18 - 199x^17 - 2682x^16 + 491x^15 + 8835x^14 + 378x^13 - 16217x^12 - 3399x^11 + 16648x^10 + 5347x^9 - 9307x^8 - 3533x^7 + 2728x^6 + 1048x^5 - 402x^4 - 126x^3 + 31x^2 + 5x - 1	\( 5^{11}\cdot 55029067682009^{2} \)	22T47	Trivial (GRH)
22.22.165555823163769559238834502754107392.1	x^22 - 23x^20 + 230x^18 - 1311x^16 + 4692x^14 - 10948x^12 + 16744x^10 - 16445x^8 + 9867x^6 - 3289x^4 + 506x^2 - 23	\( 2^{22}\cdot 23^{21} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.338309725595529099314140070845349888.1	x^22 - 28x^20 + 325x^18 - 2049x^16 + 7734x^14 - 18224x^12 + 27221x^10 - 25625x^8 + 14751x^6 - 4857x^4 + 797x^2 - 47	\( 2^{22}\cdot 23^{20}\cdot 47 \)	22T28	Trivial (GRH)
22.22.386235767790620472019065537319289881.1	x^22 - x^21 - 21x^20 + 19x^19 + 181x^18 - 145x^17 - 833x^16 + 575x^15 + 2241x^14 - 1289x^13 - 3653x^12 + 1683x^11 + 3653x^10 - 1289x^9 - 2241x^8 + 575x^7 + 833x^6 - 145x^5 - 181x^4 + 19x^3 + 21x^2 - x - 1	\( 23^{20}\cdot 229\cdot 982789 \)	22T28	Trivial (GRH)
22.22.9284320688973630862450424687802234061.1	x^22 - 11x^21 + 30x^20 + 85x^19 - 523x^18 + 90x^17 + 3316x^16 - 3374x^15 - 11502x^14 + 17176x^13 + 25000x^12 - 45246x^11 - 37043x^10 + 71097x^9 + 40253x^8 - 67045x^7 - 32898x^6 + 34453x^5 + 18075x^4 - 6583x^3 - 4698x^2 - 653x - 23	\( 421^{2}\cdot 3913599589\cdot 115692385433^{2} \)	22T53	Trivial (GRH)
22.22.14741666340843480753092741810452692992.1	x^22 - 42x^20 + 760x^18 - 7752x^16 + 48960x^14 - 198016x^12 + 512512x^10 - 823680x^8 + 768768x^6 - 366080x^4 + 67584x^2 - 2048	\( 2^{33}\cdot 23^{20} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.15900557102989867667764583329731444736.1	x^22 - 34x^20 + 492x^18 - 3983x^16 + 19949x^14 - 64494x^12 + 136185x^10 - 185894x^8 + 158865x^6 - 79911x^4 + 21056x^2 - 2209	\( 2^{22}\cdot 23^{20}\cdot 47^{2} \)	22T23	Trivial (GRH)
22.22.15900557102989867667764583329731444736.2	x^22 - 34x^20 + 492x^18 - 3983x^16 + 19926x^14 - 64218x^12 + 134943x^10 - 183272x^8 + 156243x^6 - 78922x^4 + 21056x^2 - 2209	\( 2^{22}\cdot 23^{20}\cdot 47^{2} \)	22T23	Trivial (GRH)
22.22.29500914593493649623501440769237100241.1	x^22 - 11x^21 + 33x^20 + 55x^19 - 453x^18 + 315x^17 + 2201x^16 - 3430x^15 - 5404x^14 + 12700x^13 + 7411x^12 - 25954x^11 - 6266x^10 + 32639x^9 + 4813x^8 - 25577x^7 - 4830x^6 + 11485x^5 + 3602x^4 - 2094x^3 - 1108x^2 - 128x + 1	\( 487\cdot 557\cdot 3499\cdot 7786721^{2}\cdot 22641181^{2} \)	22T53	Trivial (GRH)
22.22.78048218870425324004237696277333187889.1	x^22 - x^21 - 45x^20 + 45x^19 + 875x^18 - 875x^17 - 9613x^16 + 9613x^15 + 65459x^14 - 65459x^13 - 284877x^12 + 284877x^11 + 786739x^10 - 786739x^9 - 1318221x^8 + 1318221x^7 + 1207731x^6 - 1207731x^5 - 476237x^4 + 476237x^3 + 41907x^2 - 41907x - 5197	\( 7^{11}\cdot 23^{21} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.339058325839400057321133061640411938816.1	x^22 - 46x^20 + 920x^18 - 10488x^16 + 75072x^14 - 350336x^12 + 1071616x^10 - 2104960x^8 + 2525952x^6 - 1683968x^4 + 518144x^2 - 47104	\( 2^{33}\cdot 23^{21} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.657763557836310291639991612795361328125.1	x^22 - x^21 - 44x^20 + 27x^19 + 766x^18 - 243x^17 - 6909x^16 + 676x^15 + 35042x^14 + 1614x^13 - 100878x^12 - 11106x^11 + 158022x^10 + 13148x^9 - 122742x^8 + 4085x^7 + 40785x^6 - 4986x^5 - 4409x^4 + 486x^3 + 133x^2 - 5x - 1	\( 5^{11}\cdot 1297^{10} \)	$D_{22}$ (as 22T3)	Trivial (GRH)
22.22.1275118148086621135238339811277472268288.1	x^22 - 2x^21 - 52x^20 + 98x^19 + 1099x^18 - 1928x^17 - 12143x^16 + 19510x^15 + 75178x^14 - 108194x^13 - 259836x^12 + 324714x^11 + 471886x^10 - 489902x^9 - 393631x^8 + 319292x^7 + 115208x^6 - 68812x^5 - 6974x^4 + 3640x^3 + 132x^2 - 48x + 1	\( 2^{22}\cdot 3^{11}\cdot 23^{20} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.1856564799974488125951035818931423019008.1	x^22 - 11x^21 + 363x^19 - 924x^18 - 3795x^17 + 18029x^16 + 3872x^15 - 133661x^14 + 177265x^13 + 335500x^12 - 1066395x^11 + 478390x^10 + 1617539x^9 - 2643443x^8 + 1103938x^7 + 829103x^6 - 1076977x^5 + 385000x^4 - 737x^3 - 27214x^2 + 4235x - 77	\( 2^{20}\cdot 7^{11}\cdot 11^{23} \)	$F_{11}$ (as 22T4)	Trivial (GRH)
22.22.3075626510913487571920886830127053316437.1	x^22 - 9x^21 - 18x^20 + 357x^19 - 275x^18 - 5542x^17 + 10055x^16 + 41692x^15 - 107702x^14 - 145468x^13 + 550877x^12 + 109894x^11 - 1389694x^10 + 606757x^9 + 1491233x^8 - 1379831x^7 - 284987x^6 + 767825x^5 - 255689x^4 - 39833x^3 + 37580x^2 - 6581x + 277	\( 13^{11}\cdot 23^{20} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.4299288794103243236127943577240214703609.1	x^22 - 10x^21 - 29x^20 + 529x^19 - 69x^18 - 11577x^17 + 11850x^16 + 136774x^15 - 182767x^14 - 954992x^13 + 1314121x^12 + 4053245x^11 - 5095548x^10 - 10389210x^9 + 10902904x^8 + 15714269x^7 - 12265214x^6 - 13423268x^5 + 6295986x^4 + 5702075x^3 - 940712x^2 - 757690x - 2957	\( 19^{11}\cdot 211^{11} \)	$D_{11}$ (as 22T2)	Trivial (GRH)
22.22.11261703607138248537697553999262299669653.1	x^22 - x^21 - 68x^20 + 68x^19 + 2002x^18 - 2002x^17 - 33395x^16 + 33395x^15 + 346657x^14 - 346657x^13 - 2313707x^12 + 2313707x^11 + 9892669x^10 - 9892669x^9 - 26072546x^8 + 26072546x^7 + 38664841x^6 - 38664841x^5 - 26072546x^4 + 26072546x^3 + 3806248x^2 - 3806248x - 268133	\( 11^{11}\cdot 23^{21} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.58815914699238651208660872676277748369233.1	x^22 - 9x^21 - 29x^20 + 447x^19 - 45x^18 - 8947x^17 + 11069x^16 + 91788x^15 - 171900x^14 - 503122x^13 + 1217089x^12 + 1345876x^11 - 4447882x^10 - 974567x^9 + 8093877x^8 - 2261923x^7 - 6210705x^6 + 3693202x^5 + 1151278x^4 - 1207355x^3 + 143967x^2 + 43730x - 6439	\( 17^{11}\cdot 23^{20} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.76397324237092623287515907764434814453125.1	x^22 - 9x^21 - 16x^20 + 315x^19 - 170x^18 - 4323x^17 + 5307x^16 + 30348x^15 - 44775x^14 - 120705x^13 + 180264x^12 + 285909x^11 - 379689x^10 - 406980x^9 + 414510x^8 + 326688x^7 - 216132x^6 - 122958x^5 + 46165x^4 + 13185x^3 - 3964x^2 - 9x + 19	\( 3^{20}\cdot 5^{21}\cdot 11^{16} \)	$C_2\times C_{11}:C_5$ (as 22T5)	Trivial (GRH)
22.22.86534669543385676516186776267386878120889.1	x^22 - x^21 - 42x^20 + 37x^19 + 703x^18 - 539x^17 - 6079x^16 + 3987x^15 + 29502x^14 - 16237x^13 - 81976x^12 + 36419x^11 + 128582x^10 - 41490x^9 - 109384x^8 + 20339x^7 + 45984x^6 - 3224x^5 - 7518x^4 + 419x^3 + 376x^2 - 39x + 1	\( 89^{21} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.115714988826933543891025354042178438955008.1	x^22 - 10x^21 - 5x^20 + 348x^19 - 782x^18 - 3756x^17 + 14826x^16 + 11078x^15 - 105193x^14 + 51552x^13 + 328609x^12 - 383636x^11 - 385652x^10 + 777826x^9 - 51957x^8 - 501290x^7 + 287700x^6 - 24976x^5 - 17977x^4 + 4628x^3 - 302x^2 - 8x + 1	\( 2^{33}\cdot 1297^{10} \)	$D_{22}$ (as 22T3)	Trivial (GRH)
22.22.601130775140836298755595442714814879781421.1	x^22 - 9x^21 - 40x^20 + 537x^19 + 295x^18 - 13162x^17 + 9563x^16 + 170660x^15 - 231298x^14 - 1254848x^13 + 2189761x^12 + 5193994x^11 - 10720346x^10 - 11165111x^9 + 27735943x^8 + 9739465x^7 - 35394797x^6 + 189445x^5 + 19032841x^4 - 2534661x^3 - 3171418x^2 + 176355x + 33811	\( 3^{11}\cdot 7^{11}\cdot 23^{20} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.691317220063227578535949337667555335077888.1	x^22 - 44x^20 + 836x^18 - 8976x^16 + 59840x^14 - 256256x^12 - 124x^11 + 704704x^10 + 2728x^9 - 1208064x^8 - 21824x^7 + 1208064x^6 + 76384x^5 - 619520x^4 - 109120x^3 + 123904x^2 + 43648x + 3592	\( 2^{32}\cdot 7^{11}\cdot 11^{22} \)	$C_2\times F_{11}$ (as 22T6)	Trivial (GRH)
22.22.1086355631527929051985063244906158383693824.1	x^22 - 55x^20 + 1177x^18 - 12551x^16 + 72050x^14 - 230406x^12 - 776x^11 + 417890x^10 + 1144x^9 - 424182x^8 + 4048x^7 + 227469x^6 - 7920x^5 - 56419x^4 + 2904x^3 + 4389x^2 + 88x - 35	\( 2^{32}\cdot 7^{10}\cdot 11^{23} \)	$C_2\times F_{11}$ (as 22T6)	Trivial (GRH)
22.22.2611441967281400084968119933496263205453824.1	x^22 - 2x^21 - 85x^20 + 158x^19 + 3034x^18 - 5168x^17 - 59231x^16 + 90766x^15 + 691144x^14 - 929756x^13 - 4958124x^12 + 5663424x^11 + 21755176x^10 - 20144336x^9 - 56643133x^8 + 39793946x^7 + 82921103x^6 - 40082434x^5 - 62983979x^4 + 17930170x^3 + 21937542x^2 - 2672256x - 2672279	\( 2^{33}\cdot 3^{11}\cdot 23^{20} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.3102551636462767494433639265532255987040256.1	x^22 - 38x^20 + 641x^18 - 6318x^16 + 40285x^14 - 173650x^12 + 512983x^10 - 1028619x^8 + 1350984x^6 - 1075867x^4 + 438092x^2 - 54911	\( 2^{22}\cdot 43\cdot 1277\cdot 1297^{10} \)	22T32	Trivial (GRH)
22.22.4598055053342647107748042243736831875581437.1	x^22 - x^21 - 114x^20 + 114x^19 + 5636x^18 - 5636x^17 - 158239x^16 + 158239x^15 + 2774261x^14 - 2774261x^13 - 31438239x^12 + 31438239x^11 + 230186761x^10 - 230186761x^9 - 1054578864x^8 + 1054578864x^7 + 2799718011x^6 - 2799718011x^5 - 3624110114x^4 + 3624110114x^3 + 1317296136x^2 - 1317296136x + 194249261	\( 19^{11}\cdot 23^{21} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.14232954634830452964011747236817552143286272.1	x^22 - 2x^21 - 96x^20 + 178x^19 + 3899x^18 - 6608x^17 - 87467x^16 + 133046x^15 + 1188426x^14 - 1584074x^13 - 10109060x^12 + 11435962x^11 + 53939118x^10 - 49578134x^9 - 176910567x^8 + 124307164x^7 + 342485752x^6 - 168333340x^5 - 366604062x^4 + 109236440x^3 + 193879860x^2 - 25736464x - 38604719	\( 2^{22}\cdot 7^{11}\cdot 23^{20} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.20937975979670626213353681795476767790826629.1	x^22 - 9x^21 - 62x^20 + 717x^19 + 1305x^18 - 24022x^17 - 4969x^16 + 440652x^15 - 232734x^14 - 4834612x^13 + 4332757x^12 + 32637502x^11 - 34619686x^10 - 135174899x^9 + 145940517x^8 + 335982569x^7 - 323131047x^6 - 485055359x^5 + 334596715x^4 + 386471695x^3 - 104865816x^2 - 138936109x - 24468919	\( 23^{20}\cdot 29^{11} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.26819255020464372185020972278794137897009152.1	x^22 - 110x^20 - 66x^19 + 4180x^18 + 5016x^17 - 70653x^16 - 101112x^15 + 642477x^14 + 940962x^13 - 3450678x^12 - 4810374x^11 + 11274747x^10 + 14632332x^9 - 22009119x^8 - 27704688x^7 + 24186393x^6 + 32367456x^5 - 12274108x^4 - 21398190x^3 + 85745x^2 + 6107310x + 1650137	\( 2^{33}\cdot 3^{20}\cdot 11^{23} \)	$F_{11}$ (as 22T4)	Trivial (GRH)
22.22.39437071573367006679286233687044038294749249.1	x^22 - x^21 - 65x^20 - 27x^19 + 1709x^18 + 2739x^17 - 21240x^16 - 58584x^15 + 107774x^14 + 530058x^13 + 63350x^12 - 2109350x^11 - 2370346x^10 + 3053082x^9 + 7232279x^8 + 1113268x^7 - 7233811x^6 - 5207551x^5 + 1572041x^4 + 2696745x^3 + 394142x^2 - 391563x - 116981	\( 3^{11}\cdot 67^{21} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.61010903135742168957410203940677642822265625.1	x^22 - 6x^21 - 78x^20 + 510x^19 + 2025x^18 - 15807x^17 - 18933x^16 + 225726x^15 + 15870x^14 - 1647660x^13 + 763635x^12 + 6354345x^11 - 4837830x^10 - 12475935x^9 + 12236985x^8 + 10413186x^7 - 13357071x^6 - 1127478x^5 + 4770660x^4 - 952095x^3 - 312471x^2 + 60561x + 9498	\( 3^{21}\cdot 5^{20}\cdot 11^{19} \)	$C_2\times C_{11}:C_5$ (as 22T5)	Trivial (GRH)
22.22.86738130821466057117717765143796460851305217.1	x^22 - 9x^21 - 73x^20 + 807x^19 + 1975x^18 - 30667x^17 - 19975x^16 + 644732x^15 - 103492x^14 - 8223098x^13 + 4607977x^12 + 65804524x^11 - 48200954x^10 - 331663703x^9 + 247797313x^8 + 1036117069x^7 - 652601717x^6 - 1936994870x^5 + 759946006x^4 + 2008563717x^3 - 128681365x^2 - 908178246x - 257391023	\( 3^{11}\cdot 11^{11}\cdot 23^{20} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.101129833334963577202973160253082380445679616.1	x^22 - 55x^20 + 1221x^18 - 14333x^16 + 98318x^14 - 409706x^12 + 1039852x^10 - 1564134x^8 + 1316293x^6 - 561011x^4 + 96041x^2 - 1369	\( 2^{42}\cdot 7^{10}\cdot 11^{22} \)	22T34	Trivial (GRH)
22.22.162243049887845980095628744560672832080078125.1	x^22 - 9x^21 - 36x^20 + 429x^19 + 561x^18 - 8496x^17 - 6139x^16 + 89196x^15 + 57905x^14 - 526311x^13 - 390451x^12 + 1730819x^11 + 1575659x^10 - 2917939x^9 - 3465949x^8 + 1790924x^7 + 3593930x^6 + 695789x^5 - 1086909x^4 - 737116x^3 - 188316x^2 - 20940x - 841	\( 5^{11}\cdot 67^{20} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.264561811923025649241383943597754813769580544.1	x^22 - 49x^20 + 1076x^18 - 13962x^16 + 118795x^14 - 694835x^12 + 2845480x^10 - 8139595x^8 + 15890642x^6 - 20082843x^4 + 14702768x^2 - 4682389	\( 2^{22}\cdot 241\cdot 1297^{10}\cdot 19429 \)	22T32	Trivial (GRH)
22.22.305334364114002390216524630254855801940178013.1	x^22 - 9x^21 - 84x^20 + 897x^19 + 2755x^18 - 38122x^17 - 41461x^16 + 903508x^15 + 173110x^14 - 13126552x^13 + 3288569x^12 + 121271266x^11 - 53972002x^10 - 717482927x^9 + 340654907x^8 + 2680513897x^7 - 1010896265x^6 - 6090097243x^5 + 1071244813x^4 + 7718191075x^3 + 746605202x^2 - 4228140005x - 1647782009	\( 23^{20}\cdot 37^{11} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.707908833344745040420812121771576663119757312.1	x^22 - 55x^20 + 1199x^18 - 13959x^16 + 96910x^14 - 420420x^12 + 1158014x^10 - 2018390x^8 + 2176097x^6 - 1379961x^4 + 464013x^2 - 63175	\( 2^{42}\cdot 7^{11}\cdot 11^{22} \)	22T37	Trivial (GRH)
22.22.933750314983937236210361829997141120063111168.1	x^22 - 67x^20 + 1742x^18 - 22713x^16 + 160264x^14 - 613452x^12 + 1211561x^10 - 1133506x^8 + 512550x^6 - 106195x^4 + 7839x^2 - 67	\( 2^{22}\cdot 67^{21} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.944450376932556277593597370211011550363631641.1	x^22 - 9x^21 - 95x^20 + 987x^19 + 3645x^18 - 46387x^17 - 70417x^16 + 1223460x^15 + 652512x^14 - 19938598x^13 - 856739x^12 + 208664464x^11 - 37826626x^10 - 1414727471x^9 + 330778443x^8 + 6132077765x^7 - 984959307x^6 - 16336349510x^5 - 133094234x^4 + 24406337029x^3 + 5872500477x^2 - 15736819750x - 7810183279	\( 23^{20}\cdot 41^{11} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.1002912833195191049488840533168697988824668713.1	x^22 - x^21 - 183x^20 + 183x^19 + 14537x^18 - 14537x^17 - 656695x^16 + 656695x^15 + 18561737x^14 - 18561737x^13 - 340182327x^12 + 340182327x^11 + 4049156809x^10 - 4049156809x^9 - 30438507831x^8 + 30438507831x^7 + 135102282441x^6 - 135102282441x^5 - 306339824951x^4 + 306339824951x^3 + 236973537993x^2 - 236973537993x + 39405042377	\( 23^{21}\cdot 31^{11} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.1112428166684599349232704762783906184902475776.1	x^22 - 55x^20 + 1155x^18 - 12859x^16 + 85866x^14 - 363440x^12 + 997370x^10 - 1777446x^8 + 2018885x^6 - 1393997x^4 + 527813x^2 - 83259	\( 2^{42}\cdot 7^{10}\cdot 11^{23} \)	22T37	Trivial (GRH)
22.22.2053696021140625408463434849100950458853228544.1	x^22 - 2x^21 - 140x^20 + 258x^19 + 8459x^18 - 14168x^17 - 289511x^16 + 433206x^15 + 6197354x^14 - 8106226x^13 - 86544524x^12 + 96213194x^11 + 799094606x^10 - 727527486x^9 - 4847415983x^8 + 3434361596x^7 + 18832650088x^6 - 9628969964x^5 - 44480164414x^4 + 14436561400x^3 + 57439955172x^2 - 8797078896x - 30789776159	\( 2^{22}\cdot 11^{11}\cdot 23^{20} \)	$C_{22}$ (as 22T1)	Trivial (GRH)
22.22.4129233136056857981979443884256982828952059904.1	x^22 - 53x^20 + 963x^18 - 8057x^16 + 34825x^14 - 83894x^12 + 119260x^10 - 102849x^8 + 53662x^6 - 16302x^4 + 2614x^2 - 169	\( 2^{22}\cdot 74843^{8} \)	22T39	Trivial (GRH)
22.22.4129233136056857981979443884256982828952059904.2	x^22 - 53x^20 + 1109x^18 - 11954x^16 + 72629x^14 - 254808x^12 + 505403x^10 - 527803x^8 + 253819x^6 - 49582x^4 + 3337x^2 - 9	\( 2^{22}\cdot 74843^{8} \)	22T39	Trivial (GRH)
22.22.18032524186262409518264378257792941492206043136.1	x^22 - 40x^20 + 653x^18 - 5754x^16 + 30641x^14 - 103997x^12 + 229463x^10 - 327203x^8 + 291804x^6 - 151698x^4 + 40090x^2 - 4009	\( 2^{22}\cdot 19^{11}\cdot 211^{11} \)	22T29	Trivial (GRH)