Group GAP4(120,44)

Name: C2 x C6 x D10
Maximal quotients:GAP4(24,15) GAP4(40,13) GAP4(60,10)
Real polynomial:
x^120-2376*x^118+2007384*x^116-895675392*x^114+247496917680*x^112-4620762456\
5952*x^110+6164759864793472*x^108-611320913038732032*x^106+46389644871067627\
776*x^104-2754728863157626970112*x^102+130291338159009315910656*x^100-497911\
9792209164585736192*x^98+155577515443185389216096256*x^96-401467297195185306\
2946717696*x^94+86294816209690051004679979008*x^92-1556548838308232826877972\
021248*x^90+23712178413618545300394173005824*x^88-30678586409419179824579994\
7665408*x^86+3387389922024564501147149458472960*x^84-32055173887853755716446\
957153550336*x^82+260934726895120715286236715156504576*x^80-1832965629497051\
112076296049756471296*x^78+11142157787338421863166298114351955968*x^76-58751\
470284861320826849855928145018880*x^74+2692781617669584292401970977801041346\
56*x^72-1074698399745744001795131250544505520128*x^70+3740489742348626205261\
103596566445293568*x^68-11367676229559597751235034058434916909056*x^66+30196\
632621339969790055333887435547344896*x^64-7016680597417877405863297879978351\
8928896*x^62+142703969949196583236802739640754044403712*x^60-254108070265907\
063607922252093163109875712*x^58+396211568227160233075199336491666831835136*\
x^56-540891740678743299699319188727991164207104*x^54+64627077876020524046050\
7517751473123360768*x^52-675433081269740628137804629642125370195968*x^50+616\
950265612362315987295831654345742483456*x^48-4919771222074358528951681800885\
84462663680*x^46+342042188867535365610059126375623679803392*x^44-20698919718\
5340246449232734142942142267392*x^42+108821259095619190877987555786084359077\
888*x^40-49590962728877434253173135278890456973312*x^38+19538113487997234267\
302293095847798243328*x^36-6635069633747484590628282865492470792192*x^34+193\
5434359339420326561838368191177293824*x^32-482981558968136570297983452045820\
035072*x^30+102628954741890138556734177855626280960*x^28-1846846231334203176\
2171304141605830656*x^26+2796708010620826427438523666376163328*x^24-35372738\
2806358854549093810960334848*x^22+37038204599247091790164536430952448*x^20-3\
176868613465009651273269761802240*x^18+220375179785476877310801859313664*x^1\
6-12170233853266511529439641206784*x^14+524527699969558618819155460096*x^12-\
17190724416117951267279470592*x^10+413538092488229605267734528*x^8-693950428\
7979640662786048*x^6+75072483772474840842240*x^4-456556915824311402496*x^2+1\
152921504606846976
Common denominator of the automorphisms:
9892423069746528869458108849731883066660170100813627722451639026252154477308\
7493202368719141922633170603234386719254797290957039714541914943900092657605\
9898181842365822679410007114012734479192032336638773962997968762365291079685\
2709023931041340405521055744
Complex polynomial:
x^120-52352*x^108-38388420608*x^96-2606985644605440*x^84+1701528970254790688\
768*x^72+9536916666079163122188288*x^60-28994884669058480731263598592*x^48+4\
44058425213713430561523771637760*x^36+3828866420958293574975887579463811072*\
x^24-2255900866961355217068321050661486592*x^12+1329227995784915872903807060\
280344576
Common denominator of the automorphisms:
2278090169724644266551618754456611065188885221643518958338996991360886514697\
2947363825918488346624000

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.