Group GAP4(52,1)
Name: C13 : C4
Maximal quotients:GAP4(4,1) GAP4(26,1)
Real polynomial:
x^52-16202*x^50+110716367*x^48-433657936208*x^46+1103032389298805*x^44-19462\
01781338054566*x^42+2477134515315051626583*x^40-2330739902295305034432940*x^\
38+1646092962287096704547247645*x^36-880408038671477358203931132394*x^34+358\
009378608575912538559502431083*x^32-110665345861755025915029947763313512*x^3\
0+25905865778919480670486172541283156319*x^28-456081328994940435644840158216\
6367038234*x^26+598136945618885675972672990889509258833081*x^24-577764473510\
07325873013111859884897278372396*x^22+40609549226673834863796178698516762373\
68310155*x^20-205187395642046763608441332292104664837300222862*x^18+73620844\
68824830448826224605072771257665129187673*x^16-18502387203714778247002844738\
2414749394075013377488*x^14+320115907435486095488066632837830018462272407818\
1371*x^12-37248072975907895187165484355136156627989796004849786*x^10+2821908\
04149815934748461442179460064382804198688647349*x^8-132775809770907450490002\
4509167659281586255689213531332*x^6+3605053170730704977592431354319723763538\
357336641025808*x^4-4970080674445723771267360750560326954721935951503111680*\
x^2+2650709693037719344675925733632174375851699174134992896
Common denominator of the automorphisms:
2387857518671699009932855101896120739517256303281971402882611153358251988644\
1898160765721131257286853501805369112684435003057728122308173599044635297328\
45950104167850704896
Complex polynomial:
x^52+16202*x^50+110716367*x^48+433657936208*x^46+1103032389298805*x^44+19462\
01781338054566*x^42+2477134515315051626583*x^40+2330739902295305034432940*x^\
38+1646092962287096704547247645*x^36+880408038671477358203931132394*x^34+358\
009378608575912538559502431083*x^32+110665345861755025915029947763313512*x^3\
0+25905865778919480670486172541283156319*x^28+456081328994940435644840158216\
6367038234*x^26+598136945618885675972672990889509258833081*x^24+577764473510\
07325873013111859884897278372396*x^22+40609549226673834863796178698516762373\
68310155*x^20+205187395642046763608441332292104664837300222862*x^18+73620844\
68824830448826224605072771257665129187673*x^16+18502387203714778247002844738\
2414749394075013377488*x^14+320115907435486095488066632837830018462272407818\
1371*x^12+37248072975907895187165484355136156627989796004849786*x^10+2821908\
04149815934748461442179460064382804198688647349*x^8+132775809770907450490002\
4509167659281586255689213531332*x^6+3605053170730704977592431354319723763538\
357336641025808*x^4+4970080674445723771267360750560326954721935951503111680*\
x^2+2650709693037719344675925733632174375851699174134992896
Common denominator of the automorphisms:
2387857518671699009932855101896120739517256303281971402882611153358251988644\
1898160765721131257286853501805369112684435003057728122308173599044635297328\
45950104167850704896
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.