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 258)

Label	Polynomial	Discriminant	Galois group	Class group
44.0.48891877682180103607391812819535352418736437208892474989920547427561.1	x^44 - x^43 + x^41 - x^40 + x^38 - x^37 + x^35 - x^34 + x^32 - x^31 + x^29 - x^28 + x^26 - x^25 + x^23 - x^22 + x^21 - x^19 + x^18 - x^16 + x^15 - x^13 + x^12 - x^10 + x^9 - x^7 + x^6 - x^4 + x^3 - x + 1	\( 3^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	$[69]$ (GRH)
44.0.27408730583433337351085467861786155262978057758761987414355526669041664.1	x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1	\( 2^{44}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	$[201]$ (GRH)
44.0.3714575655453538975253519356486345582985254755453847127268314361572265625.1	x^44 - x^43 + 2x^42 - 3x^41 + 5x^40 - 8x^39 + 13x^38 - 21x^37 + 34x^36 - 55x^35 + 89x^34 - 144x^33 + 233x^32 - 377x^31 + 610x^30 - 987x^29 + 1597x^28 - 2584x^27 + 4181x^26 - 6765x^25 + 10946x^24 - 17711x^23 + 28657x^22 + 17711x^21 + 10946x^20 + 6765x^19 + 4181x^18 + 2584x^17 + 1597x^16 + 987x^15 + 610x^14 + 377x^13 + 233x^12 + 144x^11 + 89x^10 + 55x^9 + 34x^8 + 21x^7 + 13x^6 + 8x^5 + 5x^4 + 3x^3 + 2x^2 + x + 1	\( 5^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.6091524468845815638846997953624350524431889522210325630882624592675376276321.1	x^44 - x^43 - x^42 + 3x^41 - x^40 - 5x^39 + 7x^38 + 3x^37 - 17x^36 + 11x^35 + 23x^34 - 45x^33 - x^32 + 91x^31 - 89x^30 - 93x^29 + 271x^28 - 85x^27 - 457x^26 + 627x^25 + 287x^24 - 1541x^23 + 967x^22 - 3082x^21 + 1148x^20 + 5016x^19 - 7312x^18 - 2720x^17 + 17344x^16 - 11904x^15 - 22784x^14 + 46592x^13 - 1024x^12 - 92160x^11 + 94208x^10 + 90112x^9 - 278528x^8 + 98304x^7 + 458752x^6 - 655360x^5 - 262144x^4 + 1572864x^3 - 1048576x^2 - 2097152x + 4194304	\( 7^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.114960548321016780585007182194561118164129919569806438859981042930068127481856.1	x^44 - 2x^42 + 4x^40 - 8x^38 + 16x^36 - 32x^34 + 64x^32 - 128x^30 + 256x^28 - 512x^26 + 1024x^24 - 2048x^22 + 4096x^20 - 8192x^18 + 16384x^16 - 32768x^14 + 65536x^12 - 131072x^10 + 262144x^8 - 524288x^6 + 1048576x^4 - 2097152x^2 + 4194304	\( 2^{66}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.114960548321016780585007182194561118164129919569806438859981042930068127481856.2	x^44 + 2x^42 + 4x^40 + 8x^38 + 16x^36 + 32x^34 + 64x^32 + 128x^30 + 256x^28 + 512x^26 + 1024x^24 + 2048x^22 + 4096x^20 + 8192x^18 + 16384x^16 + 32768x^14 + 65536x^12 + 131072x^10 + 262144x^8 + 524288x^6 + 1048576x^4 + 2097152x^2 + 4194304	\( 2^{66}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.1625926291579854267093042018571578660715394142508043230799997286804887850450944.1	x^44 - 21x^42 + 251x^40 - 2052x^38 + 12691x^36 - 61778x^34 + 243629x^32 - 788303x^30 + 2113175x^28 - 4700059x^26 + 8677408x^24 - 13214290x^22 + 16492213x^20 - 16617826x^18 + 13339732x^16 - 8284333x^14 + 3900832x^12 - 1305733x^10 + 306592x^8 - 41184x^6 + 3641x^4 - 66x^2 + 1	\( 2^{44}\cdot 3^{22}\cdot 23^{40} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.126825968135030638560321151355314543066931802675799049463396459301394072929140409.1	x^44 - x^43 - 2x^42 + 5x^41 + x^40 - 16x^39 + 13x^38 + 35x^37 - 74x^36 - 31x^35 + 253x^34 - 160x^33 - 599x^32 + 1079x^31 + 718x^30 - 3955x^29 + 1801x^28 + 10064x^27 - 15467x^26 - 14725x^25 + 61126x^24 - 16951x^23 - 166427x^22 - 50853x^21 + 550134x^20 - 397575x^19 - 1252827x^18 + 2445552x^17 + 1312929x^16 - 8649585x^15 + 4710798x^14 + 21237957x^13 - 35370351x^12 - 28343520x^11 + 134454573x^10 - 49424013x^9 - 353939706x^8 + 502211745x^7 + 559607373x^6 - 2066242608x^5 + 387420489x^4 + 5811307335x^3 - 6973568802x^2 - 10460353203x + 31381059609	\( 11^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.220354102204022216469632262406301193826529556992340065310359890959262847900390625.1	x^44 - x^43 + 32x^42 - 21x^41 + 608x^40 - 302x^39 + 7441x^38 - 2334x^37 + 66293x^36 - 12644x^35 + 432280x^34 - 28161x^33 + 2141316x^32 + 33285x^31 + 8001765x^30 + 693375x^29 + 23077394x^28 + 2792911x^27 + 51292654x^26 + 7229970x^25 + 89635724x^24 + 12947356x^23 + 123068074x^22 + 17592284x^21 + 133953248x^20 + 17840654x^19 + 114270996x^18 + 13803865x^17 + 76240835x^16 + 7576064x^15 + 38619954x^14 + 2830121x^13 + 14698338x^12 + 489978x^11 + 3921204x^10 - 46901x^9 + 736586x^8 - 41505x^7 + 78482x^6 - 8849x^5 + 5761x^4 - 386x^3 + 117x^2 + 6x + 1	\( 3^{22}\cdot 5^{22}\cdot 23^{40} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.860115008245742907292219227824365111518443501386754869093198564719785672888549376.1	x^44 + 45x^42 + 944x^40 + 12258x^38 + 110332x^36 + 730456x^34 + 3683681x^32 + 14457937x^30 + 44741027x^28 + 109922933x^26 + 214871383x^24 + 333482657x^22 + 408408103x^20 + 390551177x^18 + 287137498x^16 + 158825372x^14 + 64156063x^12 + 18161627x^10 + 3397768x^8 + 384582x^6 + 22748x^4 + 528x^2 + 1	\( 2^{44}\cdot 3^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.44.860115008245742907292219227824365111518443501386754869093198564719785672888549376.1	x^44 - 43x^42 + 860x^40 - 10622x^38 + 90724x^36 - 568616x^34 + 2708289x^32 - 10016751x^30 + 29148711x^28 - 67217827x^26 + 123140835x^24 - 178931535x^22 + 205096155x^20 - 183670815x^18 + 126676230x^16 - 65934180x^14 + 25178895x^12 - 6781005x^10 + 1216380x^8 - 133210x^6 + 7700x^4 - 176x^2 + 1	\( 2^{44}\cdot 3^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	Trivial (GRH)
44.0.860115008245742907292219227824365111518443501386754869093198564719785672888549376.2	x^44 + 23x^42 + 299x^40 + 2668x^38 + 18055x^36 + 96646x^34 + 421245x^32 + 1516689x^30 + 4557519x^28 + 11467961x^26 + 24199128x^24 + 42662286x^22 + 62532561x^20 + 75392022x^18 + 73935156x^16 + 57768387x^14 + 35301228x^12 + 16195335x^10 + 5446584x^8 + 1210352x^6 + 180389x^4 + 11638x^2 + 529	\( 2^{44}\cdot 3^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.860115008245742907292219227824365111518443501386754869093198564719785672888549376.3	x^44 + 3x^42 + 9x^40 + 27x^38 + 81x^36 + 243x^34 + 729x^32 + 2187x^30 + 6561x^28 + 19683x^26 + 59049x^24 + 177147x^22 + 531441x^20 + 1594323x^18 + 4782969x^16 + 14348907x^14 + 43046721x^12 + 129140163x^10 + 387420489x^8 + 1162261467x^6 + 3486784401x^4 + 10460353203x^2 + 31381059609	\( 2^{44}\cdot 3^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.911492415245810901464684242547025474783143247960902506117531055360598236993683456.1	x^44 + 61x^40 + 1522x^36 + 20041x^32 + 150032x^28 + 642172x^24 + 1506232x^20 + 1760035x^16 + 860639x^12 + 127699x^8 + 2926x^4 + 1	\( 2^{88}\cdot 23^{40} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.5004064091921318968476654103385174794239787756320190509810011268963311800364358601.1	x^44 - x^43 + 4x^42 - 7x^41 + 19x^40 - 40x^39 + 97x^38 - 217x^37 + 508x^36 - 1159x^35 + 2683x^34 - 6160x^33 + 14209x^32 - 32689x^31 + 75316x^30 - 173383x^29 + 399331x^28 - 919480x^27 + 2117473x^26 - 4875913x^25 + 11228332x^24 - 25856071x^23 + 59541067x^22 + 77568213x^21 + 101054988x^20 + 131649651x^19 + 171515313x^18 + 223433640x^17 + 291112299x^16 + 379188621x^15 + 494148276x^14 + 643417587x^13 + 839027241x^12 + 1091225520x^11 + 1425856203x^10 + 1847820357x^9 + 2429748252x^8 + 3113712819x^7 + 4175531937x^6 + 5165606520x^5 + 7360989291x^4 + 8135830269x^3 + 13947137604x^2 + 10460353203x + 31381059609	\( 13^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.116567320065927752512435466812933331534234135648947894549180382317450046539306640625.1	x^44 - x^43 + 43x^42 - 39x^41 + 856x^40 - 700x^39 + 10478x^38 - 7678x^37 + 88356x^36 - 57644x^35 + 545008x^34 - 314432x^33 + 2548537x^32 - 1290809x^31 + 9238279x^30 - 4075043x^29 + 26320891x^28 - 10020719x^27 + 59401115x^26 - 19318239x^25 + 106508095x^24 - 29235139x^23 + 151556799x^22 - 34552164x^21 + 170215728x^20 - 30533255x^19 + 148629623x^18 - 11758433x^17 + 94928616x^16 + 36112685x^15 + 30135721x^14 + 126072207x^13 - 23633656x^12 + 220881720x^11 - 44029406x^10 + 233441302x^9 - 35764283x^8 + 155778230x^7 - 8938748x^6 + 18093321x^5 + 18069001x^4 + 120313546x^3 - 192566274x^2 - 256263936x + 1026529561	\( 3^{22}\cdot 5^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.44.116567320065927752512435466812933331534234135648947894549180382317450046539306640625.1	x^44 - x^43 - 67x^42 + 66x^41 + 2006x^40 - 1940x^39 - 35522x^38 + 33582x^37 + 415391x^36 - 381809x^35 - 3396482x^34 + 3014673x^33 + 20088042x^32 - 17073369x^31 - 87848856x^30 + 70775487x^29 + 288431096x^28 - 217655609x^27 - 718686410x^26 + 501030801x^25 + 1368730205x^24 - 867699404x^23 - 1999332041x^22 + 1131696716x^21 + 2238799988x^20 - 1107666220x^19 - 1911947202x^18 + 806431252x^17 + 1231950206x^16 - 430200535x^15 - 588270804x^14 + 164470157x^13 + 202516659x^12 - 43750410x^11 - 48240456x^10 + 7822102x^9 + 7480922x^8 - 908640x^7 - 688078x^6 + 65581x^5 + 31906x^4 - 2504x^3 - 504x^2 + 24x + 1	\( 3^{22}\cdot 5^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	Trivial (GRH)
44.0.116567320065927752512435466812933331534234135648947894549180382317450046539306640625.2	x^44 - x^43 - 23x^42 + 24x^41 + 298x^40 - 322x^39 - 2644x^38 + 2966x^37 + 17733x^36 - 20699x^35 - 93680x^34 + 114379x^33 + 400546x^32 - 514925x^31 - 1402310x^30 + 1917235x^29 + 4042594x^28 - 5959829x^27 - 9550726x^26 + 15510555x^25 + 18239299x^24 - 33749854x^23 - 27151731x^22 + 60965664x^21 + 28718628x^20 - 92631926x^19 - 11478724x^18 + 118848820x^17 - 33434940x^16 - 1406311x^15 - 22927136x^14 - 576983889x^13 + 635212253x^12 + 643308528x^11 - 1294716116x^10 + 1724346364x^9 - 424183664x^8 - 3407721010x^7 + 3830694322x^6 + 209294181x^5 - 4039808114x^4 + 4041269764x^3 - 1473288x^2 - 4104644424x + 4106118241	\( 3^{22}\cdot 5^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.116567320065927752512435466812933331534234135648947894549180382317450046539306640625.3	x^44 - x^43 - 3x^42 + 7x^41 + 5x^40 - 33x^39 + 13x^38 + 119x^37 - 171x^36 - 305x^35 + 989x^34 + 231x^33 - 4187x^32 + 3263x^31 + 13485x^30 - 26537x^29 - 27403x^28 + 133551x^27 - 23939x^26 - 510265x^25 + 606021x^24 + 1435039x^23 - 3859123x^22 + 5740156x^21 + 9696336x^20 - 32656960x^19 - 6128384x^18 + 136756224x^17 - 112242688x^16 - 434782208x^15 + 883752960x^14 + 855375872x^13 - 4390387712x^12 + 968884224x^11 + 16592666624x^10 - 20468203520x^9 - 45902462976x^8 + 127775277056x^7 + 55834574848x^6 - 566935683072x^5 + 343597383680x^4 + 1924145348608x^3 - 3298534883328x^2 - 4398046511104x + 17592186044416	\( 3^{22}\cdot 5^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.123530257101695962804411525139448797152840382474861376742359040000000000000000000000.1	x^44 + 63x^42 + 1771x^40 + 29412x^38 + 322363x^36 + 2470134x^34 + 13694893x^32 + 56167749x^30 + 172989335x^28 + 404160705x^26 + 720751936x^24 + 983588334x^22 + 1025844301x^20 + 813203334x^18 + 484862836x^16 + 213849639x^14 + 68058536x^12 + 15071199x^10 + 2201056x^8 + 195624x^6 + 9361x^4 + 198x^2 + 1	\( 2^{44}\cdot 5^{22}\cdot 23^{40} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.361358208821422691858000111178424879775250540561407860223115640123091356736736779241.1	x^44 - x^43 - 31x^42 + 18x^41 + 509x^40 - 128x^39 - 6323x^38 + 711x^37 + 64913x^36 - 2855x^35 - 548822x^34 - 30450x^33 + 3909507x^32 + 497028x^31 - 24053724x^30 - 3501489x^29 + 127000724x^28 + 22049413x^27 - 570173510x^26 - 120800376x^25 + 2191193723x^24 + 441547756x^23 - 7154579015x^22 - 1235011630x^21 + 19357719068x^20 + 3692553824x^19 - 42800540592x^18 - 8560769600x^17 + 77181753152x^16 + 8780862080x^15 - 109191557376x^14 - 4336701952x^13 + 115169783808x^12 + 13857435648x^11 - 86371995648x^10 - 18961448960x^9 + 47011856384x^8 + 1711374336x^7 - 14905901056x^6 + 3448373248x^5 + 3020947456x^4 - 373293056x^3 - 84934656x^2 - 12582912x + 4194304	\( 3^{22}\cdot 7^{22}\cdot 23^{40} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.44.482179487665033966874817964307376476160282778171317425736173928285756467369658548224.1	x^44 - 44x^42 + 901x^40 - 11400x^38 + 99790x^36 - 641208x^34 + 3131721x^32 - 11878176x^30 + 35442612x^28 - 83778736x^26 + 157236844x^24 - 233880352x^22 + 274130056x^20 - 250699168x^18 + 176290339x^16 - 93382192x^14 + 36217051x^12 - 9883588x^10 + 1792219x^8 - 197912x^6 + 11506x^4 - 264x^2 + 1	\( 2^{88}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	Trivial (GRH)
44.0.482179487665033966874817964307376476160282778171317425736173928285756467369658548224.1	x^44 + 44x^42 + 901x^40 + 11400x^38 + 99790x^36 + 641208x^34 + 3131721x^32 + 11878176x^30 + 35442612x^28 + 83778736x^26 + 157236844x^24 + 233880352x^22 + 274130056x^20 + 250699168x^18 + 176290339x^16 + 93382192x^14 + 36217051x^12 + 9883588x^10 + 1792219x^8 + 197912x^6 + 11506x^4 + 264x^2 + 1	\( 2^{88}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.482179487665033966874817964307376476160282778171317425736173928285756467369658548224.2	x^44 + 69x^40 + 1978x^36 + 30521x^32 + 274712x^28 + 1463260x^24 + 4481688x^20 + 7339875x^16 + 5623799x^12 + 1588587x^8 + 104742x^4 + 529	\( 2^{88}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.1829975953789394019358992112190249409734798500798529867331745089665450995586633384881.1	x^44 - x^43 + 5x^42 - 9x^41 + 29x^40 - 65x^39 + 181x^38 - 441x^37 + 1165x^36 - 2929x^35 + 7589x^34 - 19305x^33 + 49661x^32 - 126881x^31 + 325525x^30 - 833049x^29 + 2135149x^28 - 5467345x^27 + 14007941x^26 - 35877321x^25 + 91909085x^24 - 235418369x^23 + 603054709x^22 + 941673476x^21 + 1470545360x^20 + 2296148544x^19 + 3586032896x^18 + 5598561280x^17 + 8745570304x^16 + 13648674816x^15 + 21333606400x^14 + 33261092864x^13 + 52073332736x^12 + 80971038720x^11 + 127322292224x^10 + 196561862656x^9 + 312727306240x^8 + 473520144384x^7 + 777389080576x^6 + 1116691496960x^5 + 1992864825344x^4 + 2473901162496x^3 + 5497558138880x^2 + 4398046511104x + 17592186044416	\( 17^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.6819629148478549071885414510662846662953220513498055755117351820034888330697796222976.1	x^44 - 42x^42 + 1004x^40 - 16416x^38 + 203056x^36 - 1976896x^34 + 15592256x^32 - 100902784x^30 + 540972800x^28 - 2406430208x^26 + 8885665792x^24 - 27062865920x^22 + 67552104448x^20 - 136133230592x^18 + 218558169088x^16 - 271461023744x^14 + 255644925952x^12 - 171145035776x^10 + 80371253248x^8 - 21592276992x^6 + 3817865216x^4 - 138412032x^2 + 4194304	\( 2^{66}\cdot 3^{22}\cdot 23^{40} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.6819629148478549071885414510662846662953220513498055755117351820034888330697796222976.2	x^44 + 42x^42 + 1004x^40 + 16416x^38 + 203056x^36 + 1976896x^34 + 15592256x^32 + 100902784x^30 + 540972800x^28 + 2406430208x^26 + 8885665792x^24 + 27062865920x^22 + 67552104448x^20 + 136133230592x^18 + 218558169088x^16 + 271461023744x^14 + 255644925952x^12 + 171145035776x^10 + 80371253248x^8 + 21592276992x^6 + 3817865216x^4 + 138412032x^2 + 4194304	\( 2^{66}\cdot 3^{22}\cdot 23^{40} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.21142110273569853339470849219791293286477383243143882449296109338159240255146818984969.1	x^44 - x^43 - 4x^42 + 9x^41 + 11x^40 - 56x^39 + x^38 + 279x^37 - 284x^36 - 1111x^35 + 2531x^34 + 3024x^33 - 15679x^32 + 559x^31 + 77836x^30 - 80631x^29 - 308549x^28 + 711704x^27 + 831041x^26 - 4389561x^25 + 234356x^24 + 21713449x^23 - 22885229x^22 + 108567245x^21 + 5858900x^20 - 548695125x^19 + 519400625x^18 + 2224075000x^17 - 4821078125x^16 - 6299296875x^15 + 30404687500x^14 + 1091796875x^13 - 153115234375x^12 + 147656250000x^11 + 617919921875x^10 - 1356201171875x^9 - 1733398437500x^8 + 8514404296875x^7 + 152587890625x^6 - 42724609375000x^5 + 41961669921875x^4 + 171661376953125x^3 - 381469726562500x^2 - 476837158203125x + 2384185791015625	\( 19^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.65347506006797164323533696798768413693852562329201668296707932160000000000000000000000.1	x^44 + 41x^42 + 784x^40 + 9282x^38 + 76180x^36 + 459888x^34 + 2114697x^32 + 7568133x^30 + 21358299x^28 + 47872465x^26 + 85431991x^24 + 121194085x^22 + 135920335x^20 + 119357605x^18 + 80900650x^16 + 41459620x^14 + 15683335x^12 + 3901015x^10 + 2054320x^8 - 6489250x^6 + 32853580x^4 - 164244624x^2 + 821223649	\( 2^{44}\cdot 5^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.44.65347506006797164323533696798768413693852562329201668296707932160000000000000000000000.1	x^44 - 69x^42 + 2139x^40 - 39468x^38 + 484495x^36 - 4193682x^34 + 26499197x^32 - 125010267x^30 + 447055439x^28 - 1224773115x^26 + 2588447416x^24 - 4235761650x^22 + 5369828745x^20 - 5258413410x^18 + 3950328660x^16 - 2250421545x^14 + 955257620x^12 - 294507525x^10 + 63543480x^8 - 9077640x^6 + 785565x^4 - 34914x^2 + 529	\( 2^{44}\cdot 5^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	Trivial (GRH)
44.0.65347506006797164323533696798768413693852562329201668296707932160000000000000000000000.2	x^44 - 47x^42 + 1036x^40 - 14238x^38 + 136828x^36 - 977616x^34 + 5391753x^32 - 23533371x^30 + 82732335x^28 - 237396295x^26 + 562190611x^24 - 1110544651x^22 + 1852435411x^20 - 2651394691x^18 + 3329083366x^16 - 3775046236x^14 + 3998027671x^12 - 4080345361x^10 + 4101904756x^8 - 4105687106x^6 + 4106094436x^4 - 4106117712x^2 + 4106118241	\( 2^{44}\cdot 5^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.65347506006797164323533696798768413693852562329201668296707932160000000000000000000000.3	x^44 - 5x^42 + 25x^40 - 125x^38 + 625x^36 - 3125x^34 + 15625x^32 - 78125x^30 + 390625x^28 - 1953125x^26 + 9765625x^24 - 48828125x^22 + 244140625x^20 - 1220703125x^18 + 6103515625x^16 - 30517578125x^14 + 152587890625x^12 - 762939453125x^10 + 3814697265625x^8 - 19073486328125x^6 + 95367431640625x^4 - 476837158203125x^2 + 2384185791015625	\( 2^{44}\cdot 5^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.44.191158492466532603992882058813386761401107535956984758058028173625115327713733756218489.1	x^44 - x^43 - 86x^42 + 81x^41 + 3445x^40 - 3040x^39 - 85351x^38 + 70151x^37 + 1464534x^36 - 1113779x^35 - 18468767x^34 + 12899872x^33 + 177261061x^32 - 112761701x^31 - 1323060098x^30 + 759251593x^29 + 7780382701x^28 - 3984124736x^27 - 36301909279x^26 + 16381285599x^25 + 134698547590x^24 - 52792119595x^23 - 396744216375x^22 + 132783613203x^21 + 922279857882x^20 - 258361552805x^19 - 1675313579545x^18 + 383501034280x^17 + 2343182319195x^16 - 425622641659x^15 - 2471777086526x^14 + 343273729047x^13 + 1911152162483x^12 - 192962821056x^11 - 1040820630209x^10 + 70437336577x^9 + 377125555258x^8 - 13999395253x^7 - 83413545257x^6 + 289196448x^5 + 9759539347x^4 + 438024589x^3 - 453637806x^2 - 49033617x - 368597	\( 3^{22}\cdot 7^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.191158492466532603992882058813386761401107535956984758058028173625115327713733756218489.1	x^44 - x^43 + 46x^42 - 45x^41 + 1195x^40 - 1150x^39 + 21299x^38 - 20149x^37 + 287730x^36 - 267581x^35 + 3072523x^34 - 2804942x^33 + 26692099x^32 - 23887157x^31 + 191331250x^30 - 167444093x^29 + 1142837707x^28 - 975393614x^27 + 5704151939x^26 - 4728758325x^25 + 23804513458x^24 - 19075755133x^23 + 82643603403x^22 - 63567853467x^21 + 237057619920x^20 - 173490244577x^19 + 554044068881x^18 - 380558605544x^17 + 1037868132567x^16 - 657255020887x^15 + 1512341393536x^14 - 854306074281x^13 + 1655465958953x^12 - 799339188480x^11 + 1266628178647x^10 - 472858178519x^9 + 634019315968x^8 - 183040091689x^7 + 183593805097x^6 - 13681085952x^5 + 19238856919x^4 + 3193810729x^3 + 1973987328x^2 + 217790679x + 27008809	\( 3^{22}\cdot 7^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.191158492466532603992882058813386761401107535956984758058028173625115327713733756218489.2	x^44 - 20x^43 + 189x^42 - 1124x^41 + 4865x^40 - 17456x^39 + 58421x^38 - 190050x^37 + 582353x^36 - 1651670x^35 + 4443991x^34 - 11616036x^33 + 29347307x^32 - 70941366x^31 + 165084544x^30 - 373261630x^29 + 819539932x^28 - 1741244694x^27 + 3587123034x^26 - 7185027240x^25 + 13992949317x^24 - 26465017896x^23 + 48644839484x^22 - 86902148486x^21 + 150906753803x^20 - 254398639764x^19 + 416538699753x^18 - 661207715179x^17 + 1018298320297x^16 - 1516385399452x^15 + 2187310150678x^14 - 3038199352295x^13 + 4080627086016x^12 - 5240849624589x^11 + 6499724444701x^10 - 7615237158361x^9 + 8625505710097x^8 - 9008819848319x^7 + 9179431123587x^6 - 8198182177669x^5 + 7374297175226x^4 - 5145387322896x^3 + 3993217874024x^2 - 1687064084492x + 1104623059513	\( 3^{22}\cdot 7^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.191158492466532603992882058813386761401107535956984758058028173625115327713733756218489.3	x^44 - x^43 + 6x^42 - 11x^41 + 41x^40 - 96x^39 + 301x^38 - 781x^37 + 2286x^36 - 6191x^35 + 17621x^34 - 48576x^33 + 136681x^32 - 379561x^31 + 1062966x^30 - 2960771x^29 + 8275601x^28 - 23079456x^27 + 64457461x^26 - 179854741x^25 + 502142046x^24 - 1401415751x^23 + 3912125981x^22 + 7007078755x^21 + 12553551150x^20 + 22481842625x^19 + 40285913125x^18 + 72123300000x^17 + 129306265625x^16 + 231310234375x^15 + 415221093750x^14 + 741330078125x^13 + 1334775390625x^12 + 2371875000000x^11 + 4302001953125x^10 + 7557373046875x^9 + 13952636718750x^8 + 23834228515625x^7 + 45928955078125x^6 + 73242187500000x^5 + 156402587890625x^4 + 209808349609375x^3 + 572204589843750x^2 + 476837158203125x + 2384185791015625	\( 3^{22}\cdot 7^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.202576997637141672681589718254834044731913984308775018218427786812480361023243743657984.1	x^44 - 63x^42 + 1954x^40 - 39159x^38 + 564136x^36 - 6171204x^34 + 52905976x^32 - 362220741x^30 + 2002105655x^28 - 8980281297x^26 + 32710198942x^24 - 96439370415x^22 + 228524812948x^20 - 430395212448x^18 + 634098522688x^16 - 714985491456x^14 + 598979244032x^12 - 357650202624x^10 + 143735308288x^8 - 35340484608x^6 + 4755030016x^4 - 207618048x^2 + 4194304	\( 2^{44}\cdot 7^{22}\cdot 23^{40} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.1555282614282872031686695202841759550456839851168205668482420621934906547732043786064001.1	x^44 - x^43 - x^42 - 82x^41 + 77x^40 + 73x^39 + 2795x^38 - 2452x^37 - 2193x^36 - 51847x^35 + 42213x^34 + 35713x^33 + 576416x^32 - 432884x^31 - 345487x^30 - 3995639x^29 + 2790104x^28 + 2010938x^27 + 17436469x^26 - 11948291x^25 - 6590980x^24 - 47156450x^23 + 36319435x^22 + 9637447x^21 + 76421426x^20 - 81395780x^19 + 4175237x^18 - 78460015x^17 + 124870243x^16 - 45435254x^15 + 82436729x^14 - 106904257x^13 + 95684734x^12 - 78566744x^11 + 62868338x^10 - 89632848x^9 + 65796469x^8 - 36457247x^7 + 9020998x^6 - 24902176x^5 + 25739321x^4 + 13163316x^3 - 5336842x^2 + 199578x + 1151329	\( 3^{22}\cdot 67^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.3607583819545152459027384276140645884702253651640471494457079112798455926939134201954304.1	x^44 + 86x^42 + 3440x^40 + 84976x^38 + 1451584x^36 + 18195712x^34 + 173330496x^32 + 1282144128x^30 + 7462070016x^28 + 34415527424x^26 + 126096215040x^24 + 366451783680x^22 + 840073850880x^20 + 1504631316480x^18 + 2075463352320x^16 + 2160531210240x^14 + 1650124062720x^12 + 888799887360x^10 + 318866718720x^8 + 69840404480x^6 + 8074035200x^4 + 369098752x^2 + 4194304	\( 2^{66}\cdot 3^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.44.3607583819545152459027384276140645884702253651640471494457079112798455926939134201954304.1	x^44 - 2x^43 - 87x^42 + 172x^41 + 3410x^40 - 6648x^39 - 79618x^38 + 152588x^37 + 1234084x^36 - 2315580x^35 - 13401948x^34 + 24488316x^33 + 104961853x^32 - 185435390x^31 - 601731627x^30 + 1018027864x^29 + 2540304305x^28 - 4062580746x^27 - 7896434331x^26 + 11730287916x^25 + 17992771017x^24 - 24255254118x^23 - 29825624347x^22 + 35395994578x^21 + 35614277321x^20 - 35832559098x^19 - 30276336483x^18 + 24720165848x^17 + 18072790000x^16 - 11424745542x^15 - 7446590576x^14 + 3470584546x^13 + 2072020799x^12 - 673172404x^11 - 377053085x^10 + 79340694x^9 + 42583622x^8 - 5241200x^7 - 2726550x^6 + 177538x^5 + 84232x^4 - 3668x^3 - 984x^2 + 48x + 1	\( 2^{66}\cdot 3^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.3607583819545152459027384276140645884702253651640471494457079112798455926939134201954304.2	x^44 - 46x^42 + 1196x^40 - 21344x^38 + 288880x^36 - 3092672x^34 + 26959680x^32 - 194136192x^30 + 1166724864x^28 - 5871596032x^26 + 24779907072x^24 - 87372361728x^22 + 256133369856x^20 - 617611444224x^18 + 1211353595904x^16 - 1892954505216x^14 + 2313501278208x^12 - 2122754949120x^10 + 1427789316096x^8 - 634573029376x^6 + 189151576064x^4 - 24406654976x^2 + 2218786816	\( 2^{66}\cdot 3^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.44.3607583819545152459027384276140645884702253651640471494457079112798455926939134201954304.2	x^44 - 86x^42 + 3440x^40 - 84976x^38 + 1451584x^36 - 18195712x^34 + 173330496x^32 - 1282144128x^30 + 7462070016x^28 - 34415527424x^26 + 126096215040x^24 - 366451783680x^22 + 840073850880x^20 - 1504631316480x^18 + 2075463352320x^16 - 2160531210240x^14 + 1650124062720x^12 - 888799887360x^10 + 318866718720x^8 - 69840404480x^6 + 8074035200x^4 - 369098752x^2 + 4194304	\( 2^{66}\cdot 3^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.3607583819545152459027384276140645884702253651640471494457079112798455926939134201954304.3	x^44 + 46x^42 + 1196x^40 + 21344x^38 + 288880x^36 + 3092672x^34 + 26959680x^32 + 194136192x^30 + 1166724864x^28 + 5871596032x^26 + 24779907072x^24 + 87372361728x^22 + 256133369856x^20 + 617611444224x^18 + 1211353595904x^16 + 1892954505216x^14 + 2313501278208x^12 + 2122754949120x^10 + 1427789316096x^8 + 634573029376x^6 + 189151576064x^4 + 24406654976x^2 + 2218786816	\( 2^{66}\cdot 3^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.3607583819545152459027384276140645884702253651640471494457079112798455926939134201954304.4	x^44 - 2x^43 + x^42 + 4x^41 + 150x^40 - 312x^39 + 542x^38 - 148x^37 + 10492x^36 - 20540x^35 + 59284x^34 - 56948x^33 + 509181x^32 - 847518x^31 + 3165221x^30 - 3787888x^29 + 19028237x^28 - 26692810x^27 + 105670141x^26 - 131261852x^25 + 525362877x^24 - 656940198x^23 + 2435275925x^22 - 2899731254x^21 + 10236234869x^20 - 11773277034x^19 + 39267998773x^18 - 43216075824x^17 + 136381343684x^16 - 143117336230x^15 + 425588997760x^14 - 421782473222x^13 + 1177823357679x^12 - 1090649084292x^11 + 2847578340843x^10 - 2421646596474x^9 + 5860415317602x^8 - 4459787108112x^7 + 9896004307466x^6 - 6407408568958x^5 + 12768663644816x^4 - 6318592552612x^3 + 11065288394632x^2 - 3173834791936x + 4760716702561	\( 2^{66}\cdot 3^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.3607583819545152459027384276140645884702253651640471494457079112798455926939134201954304.5	x^44 - 6x^42 + 36x^40 - 216x^38 + 1296x^36 - 7776x^34 + 46656x^32 - 279936x^30 + 1679616x^28 - 10077696x^26 + 60466176x^24 - 362797056x^22 + 2176782336x^20 - 13060694016x^18 + 78364164096x^16 - 470184984576x^14 + 2821109907456x^12 - 16926659444736x^10 + 101559956668416x^8 - 609359740010496x^6 + 3656158440062976x^4 - 21936950640377856x^2 + 131621703842267136	\( 2^{66}\cdot 3^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.3607583819545152459027384276140645884702253651640471494457079112798455926939134201954304.6	x^44 + 6x^42 + 36x^40 + 216x^38 + 1296x^36 + 7776x^34 + 46656x^32 + 279936x^30 + 1679616x^28 + 10077696x^26 + 60466176x^24 + 362797056x^22 + 2176782336x^20 + 13060694016x^18 + 78364164096x^16 + 470184984576x^14 + 2821109907456x^12 + 16926659444736x^10 + 101559956668416x^8 + 609359740010496x^6 + 3656158440062976x^4 + 21936950640377856x^2 + 131621703842267136	\( 2^{66}\cdot 3^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.7523503338401759980534540629233717986631350806251560818367455109520963892984212491417089.1	x^44 - 9x^43 + 33x^42 - 66x^41 + 2x^40 + 884x^39 - 4067x^38 + 7960x^37 - 2091x^36 - 47258x^35 + 212106x^34 - 427068x^33 + 133877x^32 + 1843648x^31 - 6680727x^30 + 10975823x^29 - 2649652x^28 - 37098530x^27 + 132867064x^26 - 202667541x^25 - 31904797x^24 + 627530533x^23 - 1219296961x^22 + 1412285927x^21 - 1258501995x^20 - 2303360196x^19 + 17718449147x^18 - 18665466288x^17 - 46726330588x^16 + 59767659925x^15 + 202028476421x^14 - 221058504493x^13 - 1112134221209x^12 + 1458840167506x^11 + 4640342670082x^10 - 8586207965224x^9 - 13790122056591x^8 + 39975680532019x^7 + 18939616928510x^6 - 127628752102549x^5 + 36710422652936x^4 + 238788144466104x^3 - 193566148186513x^2 - 195321643693679x + 235762850594041	\( 3^{22}\cdot 11^{22}\cdot 23^{40} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.27454302616722487496730276017758483582191474145708668348616258375475114939212799072265625.1	x^44 - 20x^43 + 171x^42 - 772x^41 + 1736x^40 - 982x^39 + 1882x^38 - 54351x^37 + 304481x^36 - 907985x^35 + 1919248x^34 - 4350751x^33 + 14189632x^32 - 49620116x^31 + 153334824x^30 - 425321046x^29 + 1116341180x^28 - 2860120792x^27 + 7240327802x^26 - 18112671782x^25 + 44521369741x^24 - 106517962746x^23 + 246586127268x^22 - 550154492220x^21 + 1181835533276x^20 - 2438900969514x^19 + 4828014476587x^18 - 9135329073638x^17 + 16485373921739x^16 - 28256053714606x^15 + 45909598954297x^14 - 70412496170814x^13 + 101797257992790x^12 - 138061365392372x^11 + 175469601338595x^10 - 207567082859903x^9 + 228338407371013x^8 - 230913746500775x^7 + 214641548152397x^6 - 179258210832874x^5 + 134953083634583x^4 - 86705627971197x^3 + 48485947343204x^2 - 19579250790709x + 6447764911459	\( 5^{22}\cdot 7^{22}\cdot 23^{40} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.0.107163231750047944848560960956807209663182497699341984637548299223802110981295940395073536.1	x^44 + 91x^42 + 3865x^40 + 101751x^38 + 1859689x^36 + 25045527x^34 + 257459241x^32 + 2064667863x^30 + 13090266921x^28 + 66097680599x^26 + 266491698985x^24 + 856537374935x^22 + 2182247178025x^20 + 4362827243735x^18 + 6740424007465x^16 + 7872887316695x^14 + 6740424007465x^12 + 4049120256215x^10 + 1602545786665x^8 + 380494930135x^6 + 46621531945x^4 + 2191778007x^2 + 27008809	\( 2^{44}\cdot 7^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a
44.44.107163231750047944848560960956807209663182497699341984637548299223802110981295940395073536.1	x^44 - 85x^42 + 3361x^40 - 82089x^38 + 1386817x^36 - 17197497x^34 + 162122289x^32 - 1187271081x^30 + 6844037217x^28 - 31279687001x^26 + 113631570577x^24 - 327608079881x^22 + 745527993793x^20 - 1326378465209x^18 + 1818601994737x^16 - 1883097361001x^14 + 1431629797153x^12 - 768135683609x^10 + 274716257617x^8 - 60026913481x^6 + 6928067713x^4 - 316835961x^2 + 935089	\( 2^{44}\cdot 7^{22}\cdot 23^{42} \)	$C_2\times C_{22}$ (as 44T2)	n/a