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 170)

Label	Polynomial	Discriminant	Galois group	Class group
40.0.791717805254439023624865699561776475898803884688668051353443161.1	x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1	\( 41^{39} \)	$C_{40}$ (as 40T1)	$[11, 11]$ (GRH)
40.40.2760549293355133823580852196951954752012701839690650502926252551414931561.1	x^40 - x^39 - 40x^38 + 40x^37 + 739x^36 - 739x^35 - 8363x^34 + 8363x^33 + 64822x^32 - 64822x^31 - 364530x^30 + 364530x^29 + 1536886x^28 - 1536886x^27 - 4950298x^26 + 4950298x^25 + 12299714x^24 - 12299714x^23 - 23637811x^22 + 23637811x^21 + 35021504x^20 - 35021504x^19 - 39635806x^18 + 39635806x^17 + 33734309x^16 - 33734309x^15 - 21091711x^14 + 21091711x^13 + 9367189x^12 - 9367189x^11 - 2816371x^10 + 2816371x^9 + 534108x^8 - 534108x^7 - 57153x^6 + 57153x^5 + 2830x^4 - 2830x^3 - 40x^2 + 40x + 1	\( 3^{20}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	Trivial (GRH)
40.40.870502932794550416715512205314557822885758691905429612124950249853404839936.1	x^40 - 41x^38 + 779x^36 - 9102x^34 + 73185x^32 - 429352x^30 + 1901416x^28 - 6487184x^26 + 17250012x^24 - 35937525x^22 + 58659315x^20 - 74657310x^18 + 73370115x^16 - 54826020x^14 + 30458900x^12 - 12183560x^10 + 3350479x^8 - 591261x^6 + 59983x^4 - 2870x^2 + 41	\( 2^{40}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	Trivial (GRH)
40.40.24562817038400928776197921239227357886542077974183334844678041435576602047153.1	x^40 - x^39 - 67x^38 + 62x^37 + 1981x^36 - 1692x^35 - 34203x^34 + 26871x^33 + 384678x^32 - 276856x^31 - 2977848x^30 + 1954887x^29 + 16351547x^28 - 9751872x^27 - 64712614x^26 + 34947020x^25 + 185791871x^24 - 90641480x^23 - 386729741x^22 + 170144186x^21 + 579752554x^20 - 229527510x^19 - 618396670x^18 + 219419444x^17 + 461405669x^16 - 145456360x^15 - 235839274x^14 + 64898604x^13 + 80705559x^12 - 18792058x^11 - 18043315x^10 + 3409848x^9 + 2547284x^8 - 373700x^7 - 214738x^6 + 23602x^5 + 9801x^4 - 796x^3 - 198x^2 + 12x + 1	\( 11^{32}\cdot 17^{35} \)	$C_{40}$ (as 40T1)	Trivial (GRH)
40.0.75504093671268370020376748996904037084465397328249745498031917667388916015625.1	x^40 - x^39 + 42x^38 - 42x^37 + 821x^36 - 821x^35 + 9923x^34 - 9923x^33 + 83108x^32 - 83108x^31 + 512460x^30 - 512460x^29 + 2413876x^28 - 2413876x^27 + 8901060x^26 - 8901060x^25 + 26151072x^24 - 26151072x^23 + 62088597x^22 - 62088597x^21 + 120747912x^20 - 120747912x^19 + 195405222x^18 - 195405222x^17 + 268775337x^16 - 268775337x^15 + 323601357x^14 - 323601357x^13 + 354060257x^12 - 354060257x^11 + 366243817x^10 - 366243817x^9 + 369594296x^8 - 369594296x^7 + 370185557x^6 - 370185557x^5 + 370245540x^4 - 370245540x^3 + 370248410x^2 - 370248410x + 370248451	\( 5^{20}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	n/a
40.40.63172957949423116502957480067191906200305068755882825968063357506461803384975161.1	x^40 - x^39 - 81x^38 + 81x^37 + 3035x^36 - 3035x^35 - 69781x^34 + 69781x^33 + 1101179x^32 - 1101179x^31 - 12638085x^30 + 12638085x^29 + 109052539x^28 - 109052539x^27 - 721307013x^26 + 721307013x^25 + 3694696059x^24 - 3694696059x^23 - 14705316741x^22 + 14705316741x^21 + 45361821819x^20 - 45361821819x^19 - 107536349061x^18 + 107536349061x^17 + 192987641979x^16 - 192987641979x^15 - 256147113861x^14 + 256147113861x^13 + 242891503739x^12 - 242891503739x^11 - 156339390341x^10 + 156339390341x^9 + 63237601403x^8 - 63237601403x^7 - 14260160389x^6 + 14260160389x^5 + 1464023163x^4 - 1464023163x^3 - 40683397x^2 + 40683397x + 2308219	\( 7^{20}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	n/a
40.0.96430685261162182749113906515642066253992366248338958954046471967872161601814528.1	x^40 + 72x^38 + 2292x^36 + 42688x^34 + 518914x^32 + 4350192x^30 + 25920664x^28 + 111555328x^26 + 349153248x^24 + 794852864x^22 + 1309625664x^20 + 1548248640x^18 + 1299305304x^16 + 765197952x^14 + 312117152x^12 + 86580736x^10 + 15867056x^8 + 1828864x^6 + 121280x^4 + 3840x^2 + 32	\( 2^{155}\cdot 11^{32} \)	$C_{40}$ (as 40T1)	n/a
40.40.96430685261162182749113906515642066253992366248338958954046471967872161601814528.1	x^40 - 72x^38 + 2292x^36 - 42688x^34 + 518914x^32 - 4350192x^30 + 25920664x^28 - 111555328x^26 + 349153248x^24 - 794852864x^22 + 1309625664x^20 - 1548248640x^18 + 1299305304x^16 - 765197952x^14 + 312117152x^12 - 86580736x^10 + 15867056x^8 - 1828864x^6 + 121280x^4 - 3840x^2 + 32	\( 2^{155}\cdot 11^{32} \)	$C_{40}$ (as 40T1)	Trivial (GRH)
40.0.359624204259227998212313764863527746816862563620018205460931204658277030572367073.1	x^40 - x^39 + 18x^38 - 23x^37 - 25x^36 - 94x^35 - 1648x^34 + 1082x^33 - 2514x^32 + 7452x^31 + 49835x^30 - 7695x^29 + 121256x^28 - 161288x^27 - 314455x^26 - 45151x^25 - 499093x^24 + 2363548x^23 + 2079843x^22 + 10713834x^21 - 1044252x^20 - 12003364x^19 - 6008611x^18 - 193658014x^17 + 171913213x^16 - 251868115x^15 + 817022219x^14 + 965778567x^13 + 1932414069x^12 + 3192048789x^11 + 3767218658x^10 + 3389499394x^9 + 5822116569x^8 + 1107007524x^7 + 5463109687x^6 - 237856327x^5 + 2653892568x^4 + 41392946x^3 + 655492636x^2 + 29191834x + 152206781	\( 11^{36}\cdot 17^{35} \)	$C_{40}$ (as 40T1)	n/a
40.0.912788483257978497757884926199917783690257306123427760963531833190283833440731136.1	x^40 + 82x^38 + 3116x^36 + 72816x^34 + 1170960x^32 + 13739264x^30 + 121690624x^28 + 830359552x^26 + 4416003072x^24 + 18400012800x^22 + 60067138560x^20 + 152898170880x^18 + 300523991040x^16 + 449134755840x^14 + 499038617600x^12 + 399230894080x^10 + 219576991744x^8 + 77497761792x^6 + 15724183552x^4 + 1504706560x^2 + 42991616	\( 2^{60}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	n/a
40.40.912788483257978497757884926199917783690257306123427760963531833190283833440731136.1	x^40 - 82x^38 + 3116x^36 - 72816x^34 + 1170960x^32 - 13739264x^30 + 121690624x^28 - 830359552x^26 + 4416003072x^24 - 18400012800x^22 + 60067138560x^20 - 152898170880x^18 + 300523991040x^16 - 449134755840x^14 + 499038617600x^12 - 399230894080x^10 + 219576991744x^8 - 77497761792x^6 + 15724183552x^4 - 1504706560x^2 + 42991616	\( 2^{60}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	n/a
40.40.532628149472941385369669439648689139945981030063572028866179399432692728725190524361.1	x^40 - x^39 - 122x^38 + 122x^37 + 6889x^36 - 6889x^35 - 238865x^34 + 238865x^33 + 5689120x^32 - 5689120x^31 - 98643416x^30 + 98643416x^29 + 1287488848x^28 - 1287488848x^27 - 12899982560x^26 + 12899982560x^25 + 100277346172x^24 - 100277346172x^23 - 607080958403x^22 + 607080958403x^21 + 2856692933032x^20 - 2856692933032x^19 - 10368625561538x^18 + 10368625561538x^17 + 28623261724177x^16 - 28623261724177x^15 - 58787122960283x^14 + 58787122960283x^13 + 86896851513817x^12 - 86896851513817x^11 - 87923917855103x^10 + 87923917855103x^9 + 56303216874256x^8 - 56303216874256x^7 - 20052325041287x^6 + 20052325041287x^5 + 3186318150400x^4 - 3186318150400x^3 - 149372259890x^2 + 149372259890x - 6414099449	\( 11^{20}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	n/a
40.40.737344664758480175980241689422890987152982395783688920879217945970594882965087890625.1	x^40 - x^39 - 81x^38 + 81x^37 + 2912x^36 - 2912x^35 - 61458x^34 + 61458x^33 + 848906x^32 - 848332x^31 - 8102091x^30 + 8073965x^29 + 55012776x^28 - 54425902x^27 - 269774833x^26 + 262907702x^25 + 961216055x^24 - 911223361x^23 - 2487595418x^22 + 2249915999x^21 + 4652335232x^20 - 3897975986x^19 - 6230948923x^18 + 4623967699x^17 + 5896023902x^16 - 3617168339x^15 - 3860632446x^14 + 1758165812x^13 + 1689050228x^12 - 479757360x^11 - 463797329x^10 + 59850774x^9 + 71832862x^8 - 1368499x^7 - 5465258x^6 - 222713x^5 + 167076x^4 + 9347x^3 - 1393x^2 - 42x + 1	\( 5^{30}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	$[4]$ (GRH)
40.40.737344664758480175980241689422890987152982395783688920879217945970594882965087890625.2	x^40 - x^39 - 81x^38 + 81x^37 + 2912x^36 - 2912x^35 - 61458x^34 + 61458x^33 + 848906x^32 - 848332x^31 - 8102091x^30 + 8073965x^29 + 55012776x^28 - 54425902x^27 - 269774833x^26 + 262907702x^25 + 961216055x^24 - 911215161x^23 - 2487603618x^22 + 2249753639x^21 + 4652497592x^20 - 3896868576x^19 - 6232056333x^18 + 4621038454x^17 + 5898953147x^16 - 3615854084x^15 - 3862426401x^14 + 1764715152x^13 + 1685276998x^12 - 489437050x^11 - 459521029x^10 + 63804814x^9 + 71251482x^8 - 1368499x^7 - 5418518x^6 - 325213x^5 + 158876x^4 + 17547x^3 - 368x^2 - 42x + 1	\( 5^{30}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	$[4]$ (GRH)
40.0.1411841662908675517629776705295515492024702234241930698046194396081616318012166504448.1	x^40 + 88x^38 + 3476x^36 + 81664x^34 + 1275010x^32 + 14004496x^30 + 111779800x^28 + 660609664x^26 + 2919917792x^24 + 9689664512x^22 + 24119005504x^20 + 44817432000x^18 + 61669393368x^16 + 62138831744x^14 + 45166558624x^12 + 23198669824x^10 + 8169678000x^8 + 1881544192x^6 + 261429696x^4 + 18740480x^2 + 468512	\( 2^{155}\cdot 11^{36} \)	$C_{40}$ (as 40T1)	n/a
40.40.1411841662908675517629776705295515492024702234241930698046194396081616318012166504448.1	x^40 - 88x^38 + 3476x^36 - 81664x^34 + 1275010x^32 - 14004496x^30 + 111779800x^28 - 660609664x^26 + 2919917792x^24 - 9689664512x^22 + 24119005504x^20 - 44817432000x^18 + 61669393368x^16 - 62138831744x^14 + 45166558624x^12 - 23198669824x^10 + 8169678000x^8 - 1881544192x^6 + 261429696x^4 - 18740480x^2 + 468512	\( 2^{155}\cdot 11^{36} \)	$C_{40}$ (as 40T1)	n/a
40.0.3035256047092789730811697612215909515050584211986016938760756994089904532626746638336.1	x^40 + 123x^38 + 7011x^36 + 245754x^34 + 5927985x^32 + 104332536x^30 + 1386132264x^28 + 14187471408x^26 + 113177328732x^24 + 707358304575x^22 + 3463773891435x^20 + 13225318494570x^18 + 38991887285715x^16 + 87410384684460x^14 + 145683974474100x^12 + 174820769368920x^10 + 144227134729359x^8 + 76355541915543x^6 + 23238643191687x^4 + 3335690410290x^2 + 142958160441	\( 2^{40}\cdot 3^{20}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	n/a
40.0.15046568208788745095239372086809585688465158910040879547984296481209340598707851489961.1	x^40 - x^39 + 124x^38 - 124x^37 + 7135x^36 - 7135x^35 + 252889x^34 - 252889x^33 + 6180874x^32 - 6180874x^31 + 110513410x^30 - 110513410x^29 + 1496645674x^28 - 1496645674x^27 + 15684117082x^26 - 15684117082x^25 + 128861445814x^24 - 128861445814x^23 + 836219750389x^22 - 836219750389x^21 + 4299993641824x^20 - 4299993641824x^19 + 17525312136394x^18 - 17525312136394x^17 + 56517199422109x^16 - 56517199422109x^15 + 143927584106569x^14 - 143927584106569x^13 + 289611558580669x^12 - 289611558580669x^11 + 464432327949589x^10 - 464432327949589x^9 + 608659462678948x^8 - 608659462678948x^7 + 685015004594491x^6 - 685015004594491x^5 + 708253647786178x^4 - 708253647786178x^3 + 711589338196468x^2 - 711589338196468x + 711732296356909	\( 13^{20}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	n/a
40.0.85645247294113376440758931865564540771239245310508132650583152744800142458597746860353.1	x^40 - 3x^39 + 17x^38 - 18x^37 + 99x^36 + 280x^35 - 1133x^34 + 10722x^33 - 17246x^32 + 75618x^31 + 89898x^30 - 223678x^29 + 3025727x^28 - 5004522x^27 + 18709105x^26 + 13416566x^25 - 12029980x^24 + 352256790x^23 + 11507039x^22 + 354600620x^21 + 2329164546x^20 + 5850180293x^19 + 7741540618x^18 + 11469428513x^17 + 62706387315x^16 + 45371379782x^15 + 281478246442x^14 + 100840883446x^13 + 854529788449x^12 + 587465997768x^11 + 1693306660912x^10 + 2290141206741x^9 + 3347002683342x^8 + 3991924932655x^7 + 4254453066613x^6 + 2892780488084x^5 + 4483561154497x^4 - 1907601398814x^3 + 2069517788169x^2 - 2418718157x + 465327060067	\( 3^{20}\cdot 11^{32}\cdot 17^{35} \)	$C_{40}$ (as 40T1)	n/a
40.40.263266496024621374471745700545497393800039466828408289234757666722767978763580322265625.1	x^40 - x^39 - 163x^38 + 163x^37 + 12301x^36 - 12301x^35 - 570227x^34 + 570227x^33 + 18165133x^32 - 18165133x^31 - 421491315x^30 + 421491315x^29 + 7366708621x^28 - 7366708621x^27 - 98919314035x^26 + 98919314035x^25 + 1031577472397x^24 - 1031577472397x^23 - 8389229081203x^22 + 8389229081203x^21 + 53119520804237x^20 - 53119520804237x^19 - 260015933158003x^18 + 260015933158003x^17 + 970930334141837x^16 - 970930334141837x^15 - 2708381585699443x^14 + 2708381585699443x^13 + 5467867125058957x^12 - 5467867125058957x^11 - 7614130812154483x^10 + 7614130812154483x^9 + 6776066918780301x^8 - 6776066918780301x^7 - 3381719714820723x^6 + 3381719714820723x^5 + 740280658234765x^4 - 740280658234765x^3 - 48618934694515x^2 + 48618934694515x - 3538957955699	\( 3^{20}\cdot 5^{20}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	n/a
40.0.3217724369317177596907031731223092219803204403094256869508157994902742845244016168900761.1	x^40 - x^39 + 165x^38 - 165x^37 + 12629x^36 - 12629x^35 + 595157x^34 - 595157x^33 + 19330517x^32 - 19330517x^31 + 458986965x^30 - 458986965x^29 + 8247186901x^28 - 8247186901x^27 + 114533209557x^26 - 114533209557x^25 + 1245029995989x^24 - 1245029995989x^23 + 10665836549589x^22 - 10665836549589x^21 + 72174586435029x^20 - 72174586435029x^19 + 385310040397269x^18 - 385310040397269x^17 + 1616256307697109x^16 - 1616256307697109x^15 + 5295568227538389x^14 - 5295568227538389x^13 + 13471816938296789x^12 - 13471816938296789x^11 + 26553814875510229x^10 - 26553814875510229x^9 + 40944012606445013x^8 - 40944012606445013x^7 + 51101799240046037x^6 - 51101799240046037x^5 + 55223799613101525x^4 - 55223799613101525x^3 + 56012699206030805x^2 - 56012699206030805x + 56057779182769621	\( 17^{20}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	n/a
40.40.6306559910287043207279387718742999783337498304926216352583878688164986670017242431640625.1	x^40 - 5x^39 - 105x^38 + 500x^37 + 4955x^36 - 22094x^35 - 139325x^34 + 571320x^33 + 2609590x^32 - 9655440x^31 - 34503692x^30 + 112830010x^29 + 333224725x^28 - 940576570x^27 - 2400623515x^26 + 5686194526x^25 + 13060739610x^24 - 25070547550x^23 - 53940046905x^22 + 80258980940x^21 + 168812732530x^20 - 183419877685x^19 - 396720671620x^18 + 288115234125x^17 + 687800308605x^16 - 284987100906x^15 - 855026205860x^14 + 131445427210x^13 + 729886520165x^12 + 41301908330x^11 - 400803896176x^10 - 88397056585x^9 + 128198823150x^8 + 44436502095x^7 - 20491798285x^6 - 9524536784x^5 + 1075428145x^4 + 788314970x^3 + 32750635x^2 - 12223285x - 838099	\( 5^{64}\cdot 17^{35} \)	$C_{40}$ (as 40T1)	Trivial (GRH)
40.0.27007102944656272698827615986090315374383591277311834999324013469474405554004168936521728.1	x^40 - 8x^39 + 81x^38 - 454x^37 + 2779x^36 - 12440x^35 + 56478x^34 - 208476x^33 + 754326x^32 - 2344388x^31 + 7091042x^30 - 19092008x^29 + 50793319x^28 - 123767000x^27 + 298767088x^26 - 660339502x^25 + 1384198966x^24 - 2619859530x^23 + 4973214309x^22 - 9076857412x^21 + 15448166026x^20 - 22717103912x^19 + 33125100001x^18 - 49494225514x^17 + 78918556883x^16 - 123303398832x^15 + 268482814901x^14 - 595112355756x^13 + 1440254211391x^12 - 2671218205910x^11 + 4545984492009x^10 - 6336623254368x^9 + 9047878512315x^8 - 10142784370356x^7 + 8433409097319x^6 - 4559521282816x^5 + 1607344773987x^4 - 2505536851550x^3 + 12397651013143x^2 - 7055343934776x + 3628584369937	\( 2^{40}\cdot 11^{32}\cdot 17^{35} \)	$C_{40}$ (as 40T1)	n/a
40.40.29760651285380902852087872649550114019243492487777007055411937484641109657237103814494761.1	x^40 - x^39 - 204x^38 + 204x^37 + 19271x^36 - 19271x^35 - 1118479x^34 + 1118479x^33 + 44622146x^32 - 44622146x^31 - 1297102854x^30 + 1297102854x^29 + 28412522146x^28 - 28412522146x^27 - 478398727854x^26 + 478398727854x^25 + 6259887209646x^24 - 6259887209646x^23 - 63930591305979x^22 + 63930591305979x^21 + 508914281740896x^20 - 508914281740896x^19 - 3136462183102854x^18 + 3136462183102854x^17 + 14776163549319021x^16 - 14776163549319021x^15 - 52150130395993479x^14 + 52150130395993479x^13 + 133756241674319021x^12 - 133756241674319021x^11 - 238056502466305979x^10 + 238056502466305979x^9 + 273186020727053396x^8 - 273186020727053396x^7 - 177910323267087229x^6 + 177910323267087229x^5 + 50906662816897146x^4 - 50906662816897146x^3 - 3834242944821604x^2 + 3834242944821604x + 75821752444021	\( 19^{20}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	n/a
40.40.83017628936247865363646717578368932999206418219130479061598801598873600000000000000000000.1	x^40 - 205x^38 + 19475x^36 - 1137750x^34 + 45740625x^32 - 1341725000x^30 + 29709625000x^28 - 506811250000x^26 + 6738285937500x^24 - 70190478515625x^22 + 572844873046875x^20 - 3645376464843750x^18 + 17912625732421875x^16 - 66926293945312500x^14 + 185906372070312500x^12 - 371812744140625000x^10 + 511242523193359375x^8 - 451096343994140625x^6 + 228816986083984375x^4 - 54740905761718750x^2 + 3910064697265625	\( 2^{40}\cdot 5^{20}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	n/a
40.0.220270484343077469571317811864553170412678895179244714569241039133217272745060389147263561.1	x^40 - x^39 + 206x^38 - 206x^37 + 19681x^36 - 19681x^35 + 1157431x^34 - 1157431x^33 + 46898056x^32 - 46898056x^31 + 1388623056x^30 - 1388623056x^29 + 31098248056x^28 - 31098248056x^27 + 537909498056x^26 - 537909498056x^25 + 7276195435556x^24 - 7276195435556x^23 + 77466673951181x^22 - 77466673951181x^21 + 650311546998056x^20 - 650311546998056x^19 + 4295688011841806x^18 - 4295688011841806x^17 + 22208313744263681x^16 - 22208313744263681x^15 + 89134607689576181x^14 - 89134607689576181x^13 + 275040979759888681x^12 - 275040979759888681x^11 + 646853723900513681x^10 - 646853723900513681x^9 + 1158096247093873056x^8 - 1158096247093873056x^7 + 1609192591088013681x^6 - 1609192591088013681x^5 + 1838009577171998056x^4 - 1838009577171998056x^3 + 1892750482933716806x^2 - 1892750482933716806x + 1896660547630982431	\( 3^{20}\cdot 7^{20}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	n/a
40.0.591562874052785633250268709202581935979796890752712583261409569563284548449419361747771321.1	x^40 - 3x^39 - 18x^38 + 108x^37 + 223x^36 - 2028x^35 + 2573x^34 + 9011x^33 - 8520x^32 - 83186x^31 + 336531x^30 - 1070856x^29 + 4064715x^28 - 14112225x^27 + 42858754x^26 - 145267570x^25 + 457628814x^24 - 1319976263x^23 + 3574297374x^22 - 9226542891x^21 + 22442317148x^20 - 52307277171x^19 + 116881460464x^18 - 226543347560x^17 + 434127034021x^16 - 786069579780x^15 + 1249029264466x^14 - 1715763878977x^13 + 2167339669831x^12 - 2550582941805x^11 + 800896596388x^10 + 397170019371x^9 - 2917951840654x^8 + 7578192596520x^7 + 1372645832422x^6 + 7630270834549x^5 + 7111255666458x^4 - 29182251573759x^3 + 6513363586559x^2 + 6294547903777x + 2983509962179	\( 11^{32}\cdot 41^{35} \)	$C_{40}$ (as 40T1)	n/a
40.40.1253932065633113944469151521443730441431713790591149570137187939336618885736329611782428273.1	x^40 - x^39 - 169x^38 + 164x^37 + 12691x^36 - 11875x^35 - 563770x^34 + 505047x^33 + 16641982x^32 - 14163595x^31 - 347475640x^30 + 278361814x^29 + 5329207425x^28 - 3971508525x^27 - 61490161599x^26 + 41984561293x^25 + 541800127879x^24 - 332258193740x^23 - 3676141757622x^22 + 1972195023941x^21 + 19263753417689x^20 - 8723038714906x^19 - 77799928955137x^18 + 28251138253118x^17 + 240398315372500x^16 - 64633390154843x^15 - 560776551917371x^14 + 96526851715894x^13 + 966867236860220x^12 - 73261636886553x^11 - 1193088872781988x^10 - 19657957772667x^9 + 1002593035021561x^8 + 99785910037161x^7 - 529199446717775x^6 - 87683463878301x^5 + 151892844636343x^4 + 30373994353352x^3 - 17785593138966x^2 - 2824636354242x + 659293725553	\( 3^{20}\cdot 11^{36}\cdot 17^{35} \)	$C_{40}$ (as 40T1)	n/a
40.40.1358711128258825934115575439892361036364148090821174339024587245535856279071374753274170361.1	x^40 - x^39 - 245x^38 + 245x^37 + 27799x^36 - 27799x^35 - 1938233x^34 + 1938233x^33 + 92909527x^32 - 92909527x^31 - 3245731625x^30 + 3245731625x^29 + 85466733271x^28 - 85466733271x^27 - 1730529606953x^26 + 1730529606953x^25 + 27242866548439x^24 - 27242866548439x^23 - 334924585393961x^22 + 334924585393961x^21 + 3211979879435479x^20 - 3211979879435479x^19 - 23873472397443881x^18 + 23873472397443881x^17 + 135837297924844759x^16 - 135837297924844759x^15 - 580228573410251561x^14 + 580228573410251561x^13 + 1806657664373402839x^12 - 1806657664373402839x^11 - 3921869306307367721x^10 + 3921869306307367721x^9 + 5530200195315903703x^8 - 5530200195315903703x^7 - 4477873394638148393x^6 + 4477873394638148393x^5 + 1613997486203448535x^4 - 1613997486203448535x^3 - 134864967626674985x^2 + 134864967626674985x + 15037528415907031	\( 23^{20}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	n/a
40.40.2342492774810879590625564693377242840437133595865567669360927718694362835612583160400390625.1	x^40 - 3x^39 - 153x^38 + 424x^37 + 10435x^36 - 26104x^35 - 422087x^34 + 928824x^33 + 11344024x^32 - 21340302x^31 - 214673754x^30 + 334559600x^29 + 2952971467x^28 - 3683043942x^27 - 30025251733x^26 + 28841721208x^25 + 227220142820x^24 - 161003561620x^23 - 1279418767795x^22 + 637078046638x^21 + 5328173642850x^20 - 1770142272603x^19 - 16230752948952x^18 + 3444167779449x^17 + 35584533352769x^16 - 4842006085510x^15 - 54915618366102x^14 + 5434842226712x^13 + 57856494632629x^12 - 5328728706700x^11 - 39827070645512x^10 + 4123513230427x^9 + 16811606265180x^8 - 2042316034583x^7 - 3968102247745x^6 + 551974490536x^5 + 443309788137x^4 - 62108079736x^3 - 14574899705x^2 + 582845329x + 99452651	\( 5^{20}\cdot 11^{32}\cdot 17^{35} \)	$C_{40}$ (as 40T1)	n/a
40.0.3182696644836369084775606635426909535653681390667449697577999525834815735203623483039809536.1	x^40 + 246x^38 + 28044x^36 + 1966032x^34 + 94847760x^32 + 3338641152x^30 + 88712464896x^28 + 1815996340224x^26 + 28973396155392x^24 + 362167451942400x^22 + 3546904464829440x^20 + 27085452276879360x^18 + 159710770322288640x^16 + 716065871335096320x^14 + 2386886237783654400x^12 + 5728526970680770560x^10 + 9452069501623271424x^8 + 10008073589954052096x^6 + 6091870880841596928x^4 + 1748862453830123520x^2 + 149902496042582016	\( 2^{60}\cdot 3^{20}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	n/a
40.40.3182696644836369084775606635426909535653681390667449697577999525834815735203623483039809536.1	x^40 - 246x^38 + 28044x^36 - 1966032x^34 + 94847760x^32 - 3338641152x^30 + 88712464896x^28 - 1815996340224x^26 + 28973396155392x^24 - 362167451942400x^22 + 3546904464829440x^20 - 27085452276879360x^18 + 159710770322288640x^16 - 716065871335096320x^14 + 2386886237783654400x^12 - 5728526970680770560x^10 + 9452069501623271424x^8 - 10008073589954052096x^6 + 6091870880841596928x^4 - 1748862453830123520x^2 + 149902496042582016	\( 2^{60}\cdot 3^{20}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	n/a
40.40.3941599943929402004549617324214374864585936440578885220364924180103116668760776519775390625.1	x^40 - 150x^38 - 20x^37 + 9785x^36 + 2524x^35 - 369675x^34 - 135890x^33 + 9064985x^32 + 4178520x^31 - 153008214x^30 - 82534925x^29 + 1837625615x^28 + 1113003605x^27 - 15996134070x^26 - 10603222817x^25 + 101793747900x^24 + 72677138515x^23 - 474001671100x^22 - 360886694255x^21 + 1605598178486x^20 + 1294784673650x^19 - 3906118505605x^18 - 3317484482190x^17 + 6686541773025x^16 + 5946130517703x^15 - 7817807874825x^14 - 7234784909160x^13 + 5987699870315x^12 + 5736709316575x^11 - 2825680076104x^10 - 2799968295700x^9 + 740664948050x^8 + 768129252655x^7 - 85891607135x^6 - 98863237441x^5 + 2093555025x^4 + 3573593490x^3 - 221351785x^2 - 8630265x + 544001	\( 5^{68}\cdot 17^{35} \)	$C_{40}$ (as 40T1)	$[2]$ (GRH)
40.40.6155827634730144286356794433547991992654838673155704504735108092752401416206521723841569073.1	x^40 - 3x^39 - 132x^38 + 491x^37 + 7311x^36 - 33175x^35 - 217189x^34 + 1232961x^33 + 3593237x^32 - 28126532x^31 - 27292390x^30 + 414369326x^29 - 99144751x^28 - 4020136266x^27 + 4527382403x^26 + 25441334676x^25 - 49823950670x^24 - 98463886324x^23 + 309638493767x^22 + 171991889278x^21 - 1207693270676x^20 + 298800505505x^19 + 2956877035321x^18 - 2528331564584x^17 - 4160499417738x^16 + 6581725976666x^15 + 2118390327104x^14 - 8923437470982x^13 + 2547146818876x^12 + 6091228711870x^11 - 4661863412887x^10 - 1217776950271x^9 + 2592852169237x^8 - 661006520620x^7 - 417886545699x^6 + 275605157518x^5 - 35257572669x^4 - 12058221917x^3 + 3946372271x^2 - 321122038x + 3549191	\( 17^{35}\cdot 31^{32} \)	$C_{40}$ (as 40T1)	Trivial (GRH)
40.0.24758800785707605497982484480000000000000000000000000000000000000000000000000000000000000000.1	x^40 - 40x^38 - 40x^37 + 900x^36 + 1672x^35 - 11700x^34 - 33920x^33 + 81930x^32 + 379800x^31 - 78724x^30 - 1961800x^29 - 2560530x^28 - 2972280x^27 - 1770600x^26 + 69800656x^25 + 250735080x^24 + 147441800x^23 - 784035060x^22 - 2886776160x^21 - 8350542790x^20 - 14408043720x^19 + 7164633700x^18 + 98298463440x^17 + 311962861885x^16 + 814589947504x^15 + 1776800162220x^14 + 2936143110440x^13 + 4374222306100x^12 + 6270629134200x^11 + 7027301397004x^10 + 6325901267000x^9 + 7771368207770x^8 + 5724743244360x^7 - 354140085200x^6 + 4230971709432x^5 + 2661174194900x^4 - 4366092477120x^3 + 9788898037200x^2 - 2465305466960x + 1366145797057	\( 2^{155}\cdot 5^{64} \)	$C_{40}$ (as 40T1)	n/a
40.40.24758800785707605497982484480000000000000000000000000000000000000000000000000000000000000000.1	x^40 - 120x^38 - 40x^37 + 6340x^36 + 3912x^35 - 194900x^34 - 166560x^33 + 3889530x^32 + 4096920x^31 - 53314820x^30 - 65210600x^29 + 518290750x^28 + 712912200x^27 - 3636420600x^26 - 5540454608x^25 + 18533680680x^24 + 31210475400x^23 - 68313418100x^22 - 128571053760x^21 + 178661216010x^20 + 387281514680x^19 - 316466541100x^18 - 845333306000x^17 + 334604461485x^16 + 1311230967664x^15 - 103103625460x^14 - 1397365920280x^13 - 232021627260x^12 + 967195870520x^11 + 350891999212x^10 - 394883968040x^9 - 213096967350x^8 + 79666196680x^7 + 61123001360x^6 - 5491302248x^5 - 8286865580x^4 - 260231040x^3 + 473512880x^2 + 33598000x - 7065151	\( 2^{155}\cdot 5^{64} \)	$C_{40}$ (as 40T1)	n/a
40.0.98539998598235050113740433105359371614648411014472130509123104502577916719019412994384765625.1	x^40 + 20x^38 - 20x^37 + 10x^36 - 196x^35 - 1625x^34 - 17400x^33 + 7980x^32 + 143740x^31 + 318135x^30 + 151800x^29 + 5529240x^28 - 12827600x^27 - 123757160x^26 - 79265734x^25 + 1403435825x^24 + 1358565880x^23 - 8782869650x^22 - 8176445270x^21 + 53559624544x^20 - 4997652650x^19 - 155085987725x^18 - 84112241490x^17 + 575725415105x^16 - 580988576654x^15 + 2538338473275x^14 - 4985730273150x^13 - 157474304795x^12 + 7157675366740x^11 + 4518420951700x^10 - 24765664575250x^9 + 35443876926040x^8 - 1070372365600x^7 - 43870930331110x^6 - 35159334705046x^5 + 191987951051725x^4 - 39814065914410x^3 - 94147177754785x^2 - 16652310011540x + 235624219995851	\( 5^{70}\cdot 17^{35} \)	$C_{40}$ (as 40T1)	n/a
40.0.98539998598235050113740433105359371614648411014472130509123104502577916719019412994384765625.2	x^40 + 20x^38 - 65x^37 + 10x^36 - 484x^35 + 2625x^34 + 3800x^33 - 4175x^32 - 98775x^31 + 161395x^30 + 796375x^29 + 483640x^28 - 23356305x^27 + 28158920x^26 + 140034529x^25 - 187379125x^24 - 1632459680x^23 + 5343583885x^22 + 4195070685x^21 - 36569530966x^20 - 11815599375x^19 + 289463727950x^18 - 423395127475x^17 - 310481889800x^16 + 544751654689x^15 + 5267826745750x^14 - 10197961852375x^13 - 10144826464550x^12 + 61348584853325x^11 - 42312650380770x^10 - 84300057675375x^9 + 175271153169940x^8 + 110255235330495x^7 - 136647868301930x^6 + 14763856914996x^5 + 768543708596375x^4 + 677168823181435x^3 + 226016395440355x^2 + 596008027834280x + 425077129297501	\( 5^{70}\cdot 17^{35} \)	$C_{40}$ (as 40T1)	n/a
40.40.395410994212712488583535125652348307396350159891122576225102881206574771716175037399614619648.1	x^40 - 187x^38 + 14960x^36 - 680119x^34 + 19741777x^32 - 390041047x^30 + 5454569527x^28 - 55335959701x^26 + 413297142302x^24 - 2289732248573x^22 + 9425882445199x^20 - 28741268505675x^18 + 64435213817040x^16 - 105031396902212x^14 + 122647277393476x^12 - 100614642637531x^10 + 56373730133061x^8 - 20621821326304x^6 + 4552599667803x^4 - 519703158425x^2 + 20788126337	\( 2^{40}\cdot 11^{36}\cdot 17^{35} \)	$C_{40}$ (as 40T1)	n/a
40.40.791889638416655580350456569351034349494321492589146381070272539583828111934638205267822786961.1	x^40 - x^39 - 117x^38 + 266x^37 + 5846x^36 - 20795x^35 - 154004x^34 + 805173x^33 + 2017454x^32 - 18000417x^31 - 2444367x^30 + 242355969x^29 - 343663904x^28 - 1873656945x^27 + 5665050430x^26 + 5894662747x^25 - 44725563816x^24 + 26279858791x^23 + 185760479102x^22 - 342545845423x^21 - 282043804802x^20 + 1427449558069x^19 - 773852923584x^18 - 2631925107619x^17 + 4208077717876x^16 + 725534929213x^15 - 6999751493326x^14 + 4874293451523x^13 + 3782436965348x^12 - 7172445430563x^11 + 2037623248587x^10 + 3136334311404x^9 - 2884228121083x^8 + 355416625523x^7 + 703700081156x^6 - 423646947804x^5 + 78423697390x^4 + 9564696070x^3 - 6144761956x^2 + 889846556x - 42398647	\( 241^{39} \)	$C_{40}$ (as 40T1)	Trivial (GRH)
40.0.2570961875240443110075641606889622986328510418246174699558180339089531042613089084625244140625.1	x^40 - x^39 + 124x^38 - 124x^37 + 7012x^36 - 7012x^35 + 240097x^34 - 240097x^33 + 5574976x^32 - 5376372x^31 + 92995709x^30 - 78880475x^29 + 1149650661x^28 - 708307227x^27 + 10667680367x^26 - 2635382093x^25 + 74221479755x^24 + 20656779489x^23 + 391080209537x^22 + 374577277149x^21 + 1667463255747x^20 + 2439729542599x^19 + 6863290838977x^18 + 6441258854089x^17 + 31331789305707x^16 - 16855830885599x^15 + 130851731111589x^14 - 198878023330753x^13 + 384127993592353x^12 - 809524141582265x^11 + 981457707491651x^10 - 2123476624106486x^9 + 1677351149902602x^8 - 1688152152008229x^7 + 993191448858927x^6 + 1193559121738297x^5 + 3136566348555861x^4 + 2380750276136282x^3 + 3726026839013002x^2 + 2025170081972593x + 633123877320301	\( 3^{20}\cdot 5^{30}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	n/a
40.0.2570961875240443110075641606889622986328510418246174699558180339089531042613089084625244140625.2	x^40 - x^39 + 124x^38 - 124x^37 + 7012x^36 - 7012x^35 + 240097x^34 - 240097x^33 + 5574976x^32 - 5720772x^31 + 93334574x^30 - 104791040x^29 + 1172140596x^28 - 1568833062x^27 + 11422194347x^26 - 19432835273x^25 + 89224845710x^24 - 194310650766x^23 + 576840714152x^22 - 1516501091706x^21 + 3206539430637x^20 - 9151786436531x^19 + 16094141788462x^18 - 42757497219236x^17 + 74212086326247x^16 - 152603475042569x^15 + 285666255020364x^14 - 420566608104163x^13 + 928410998409598x^12 - 1083179630800745x^11 + 2344829538262466x^10 - 2405851443375566x^9 + 4676026596474957x^8 - 4280457210793119x^7 + 7349903670692052x^6 - 5298658022264528x^5 + 8303592867364986x^4 - 4690776216015868x^3 + 5999967247127527x^2 - 993635057195657x + 1046897887263301	\( 3^{20}\cdot 5^{30}\cdot 41^{39} \)	$C_{40}$ (as 40T1)	n/a
40.40.8661072039006834456417184171435002124680206277510464931530297507976049073847948875349119910761.1	x^40 - x^39 - 182x^38 + 149x^37 + 14732x^36 - 9225x^35 - 702023x^34 + 299068x^33 + 21973660x^32 - 4888126x^31 - 477317920x^30 + 9891142x^29 + 7412595190x^28 + 1285641773x^27 - 83554070211x^26 - 29612222037x^25 + 687343411930x^24 + 355617562928x^23 - 4120100861192x^22 - 2714880001603x^21 + 17872484655070x^20 + 13892811602773x^19 - 55502093143016x^18 - 48418597598304x^17 + 121733371270573x^16 + 114997502474284x^15 - 185783264828648x^14 - 184740552515931x^13 + 194240735747798x^12 + 198156386856276x^11 - 136554026797958x^10 - 139013959476678x^9 + 62666288988301x^8 + 61550556216771x^7 - 17709190836164x^6 - 16130526843214x^5 + 2692795914640x^4 + 2212577682649x^3 - 145962994111x^2 - 118971591850x - 2072694073	\( 11^{36}\cdot 41^{35} \)	$C_{40}$ (as 40T1)	n/a
40.0.9196346784702509188567534114422041535758244156679054160504004666125503692800000000000000000000.1	x^40 - 8x^39 + 196x^38 - 1328x^37 + 17842x^36 - 105088x^35 + 1006496x^34 - 5232512x^33 + 39432415x^32 - 182623496x^31 + 1137446244x^30 - 4718479848x^29 + 24970015418x^28 - 93034822728x^27 + 425189311920x^26 - 1423709835656x^25 + 5672202781136x^24 - 17046975185024x^23 + 59482075201096x^22 - 159957215701272x^21 + 489335533088804x^20 - 1171738568154112x^19 + 3138679423984556x^18 - 6653015951663376x^17 + 15620944186704963x^16 - 29262704404706840x^15 + 61489614112054296x^14 - 103996373551496376x^13 + 210820337169176950x^12 - 342216969473620912x^11 + 728375723204923992x^10 - 1147210272018355104x^9 + 2365456957824375879x^8 - 3222210111441488976x^7 + 5317253886648497056x^6 - 5451794249717719944x^5 + 6818698319706763242x^4 - 5123857830305345616x^3 + 9825430597065036188x^2 - 4939288609931078664x + 5424210633452270351	\( 2^{155}\cdot 5^{20}\cdot 11^{32} \)	$C_{40}$ (as 40T1)	n/a
40.40.9196346784702509188567534114422041535758244156679054160504004666125503692800000000000000000000.1	x^40 - 8x^39 - 204x^38 + 1712x^37 + 18562x^36 - 165248x^35 - 996144x^34 + 9545088x^33 + 35104575x^32 - 369155336x^31 - 854680156x^30 + 10134253432x^29 + 14681802538x^28 - 204288312968x^27 - 177222835520x^26 + 3085601525144x^25 + 1438538919856x^24 - 35318559788544x^23 - 6577737720504x^22 + 307816033436648x^21 - 2349342771836x^20 - 2040927491724992x^19 + 281565079848076x^18 + 10229996196094064x^17 - 2249920559167117x^16 - 38294083942738200x^15 + 10118341159568696x^14 + 105010062546234984x^13 - 29250529873849130x^12 - 205068449381240432x^11 + 55055961501360072x^10 + 273921377626897056x^9 - 65155892574199161x^8 - 236372195822350416x^7 + 44769231158906736x^6 + 121275201011881016x^5 - 15435513452886198x^4 - 32206098229064336x^3 + 2122743649838668x^2 + 3180520992223416x - 133762533290849	\( 2^{155}\cdot 5^{20}\cdot 11^{32} \)	$C_{40}$ (as 40T1)	n/a
40.0.15474250491067253436239052800000000000000000000000000000000000000000000000000000000000000000000.1	x^40 + 160x^38 + 10400x^36 + 362000x^34 + 7514000x^32 + 98237040x^30 + 837321800x^28 + 4787672000x^26 + 18826410000x^24 + 51916276000x^22 + 101730962000x^20 + 142586040000x^18 + 142941685000x^16 + 101779400000x^14 + 50709240000x^12 + 17243312000x^10 + 3851460000x^8 + 533600000x^6 + 42000000x^4 + 1600000x^2 + 20000	\( 2^{155}\cdot 5^{68} \)	$C_{40}$ (as 40T1)	n/a
40.40.15474250491067253436239052800000000000000000000000000000000000000000000000000000000000000000000.1	x^40 - 160x^38 + 10400x^36 - 362000x^34 + 7514000x^32 - 98237040x^30 + 837321800x^28 - 4787672000x^26 + 18826410000x^24 - 51916276000x^22 + 101730962000x^20 - 142586040000x^18 + 142941685000x^16 - 101779400000x^14 + 50709240000x^12 - 17243312000x^10 + 3851460000x^8 - 533600000x^6 + 42000000x^4 - 1600000x^2 + 20000	\( 2^{155}\cdot 5^{68} \)	$C_{40}$ (as 40T1)	n/a
40.0.24167043879315228976172699291023550158269835250766566962153320455612538222913527445942276456448.1	x^40 - 8x^39 - 28x^38 + 480x^37 - 590x^36 - 12256x^35 + 50848x^34 + 109312x^33 - 1226417x^32 + 1709592x^31 + 12360692x^30 - 56555656x^29 + 25107210x^28 + 503554328x^27 - 1782146352x^26 + 1246664504x^25 + 10677562784x^24 - 46323526448x^23 + 81119538408x^22 + 51159518264x^21 - 772163444220x^20 + 2537026033328x^19 - 4458213009204x^18 + 811897538352x^17 + 24332138723123x^16 - 101291576778200x^15 + 271875183651800x^14 - 573072400349048x^13 + 1006625975899798x^12 - 1509043223809792x^11 + 1950880152381736x^10 - 2185190349704512x^9 + 2124156178671895x^8 - 1779567362498752x^7 + 1250553242998848x^6 - 710531819699064x^5 + 334575428532442x^4 - 172809224615584x^3 + 136253228465068x^2 - 82125219617624x + 24016496068463	\( 2^{155}\cdot 31^{32} \)	$C_{40}$ (as 40T1)	n/a
40.40.24167043879315228976172699291023550158269835250766566962153320455612538222913527445942276456448.1	x^40 - 8x^39 - 108x^38 + 1088x^37 + 3906x^36 - 61536x^35 - 16112x^34 + 1879168x^33 - 2906961x^32 - 33432552x^31 + 99757876x^30 + 338987480x^29 - 1659074182x^28 - 1481634088x^27 + 16490173728x^26 - 6551273896x^25 - 102288662272x^24 + 136200533328x^23 + 380958750440x^22 - 912006399112x^21 - 661031915676x^20 + 3434806714480x^19 - 725194611924x^18 - 7668591177232x^17 + 6671459080739x^16 + 9131898997544x^15 - 15615391129992x^14 - 2329718096856x^13 + 17968739818102x^12 - 7656532378816x^11 - 9248389510952x^10 + 9155351367488x^9 + 152712506135x^8 - 3535639721664x^7 + 1440603918032x^6 + 192988272776x^5 - 288637717830x^4 + 77279696800x^3 - 6594043108x^2 - 228874328x + 42209663	\( 2^{155}\cdot 31^{32} \)	$C_{40}$ (as 40T1)	Trivial (GRH)
40.0.34296436716006088086348892675736212426840072977067776247113342729404166276203830051422119140625.1	x^40 - x^39 + 205x^38 - 210x^37 + 17179x^36 - 18233x^35 + 769166x^34 - 861175x^33 + 20231634x^32 - 24611285x^31 + 321376610x^30 - 443994502x^29 + 2934250927x^28 - 5127881369x^27 + 11052709879x^26 - 38235186403x^25 - 47987734851x^24 - 204754941776x^23 - 587996815784x^22 - 1156468185533x^21 + 697453826091x^20 - 6137453171112x^19 + 39496054736893x^18 + 2277515781046x^17 + 279072370692972x^16 + 222049495807135x^15 + 1191232934278609x^14 + 327805687794932x^13 + 5697446694340888x^12 - 4841562954273985x^11 + 31699026105567100x^10 - 7800767151617665x^9 + 141832220187432461x^8 + 82933946634742001x^7 + 479398723525712355x^6 + 288175051685606927x^5 + 1062431436014171077x^4 + 355626436037277912x^3 + 1157271788184170842x^2 + 252128673371738912x + 553402136113967801	\( 5^{20}\cdot 11^{36}\cdot 17^{35} \)	$C_{40}$ (as 40T1)	n/a