Group GAP4(120,42)

Name: C2 x S3 x D10
Maximal quotients:GAP4(24,14) GAP4(40,13) GAP4(60,8)
Real polynomial:
x^120-1672*x^118+1142904*x^116-437098032*x^114+107210473456*x^112-1822625150\
7424*x^110+2258598464237248*x^108-211394874982606336*x^106+15345503803518405\
376*x^104-881938270282484063232*x^102+40794080342230115389440*x^100-15390832\
28550877500166144*x^98+47888184368790793212002304*x^96-124023872707882500786\
5667584*x^94+26944988341956133602896363520*x^92-4943425157542164330139357347\
84*x^90+7702367740214054965493210611712*x^88-1024220580676687454715199159009\
28*x^86+1167277149795834359723453814407168*x^84-1144347053251698971077845220\
9565696*x^82+96810794796802889622703595209097216*x^80-7087030962176188029043\
21797799280640*x^78+4499934034448342060429666790810845184*x^76-2483292052713\
6188678102959870623875072*x^74+119309197771239597147316299480392794112*x^72-\
499766492855931557279516306903377379328*x^70+1827333927921870271422354692030\
116921344*x^68-5837580193375153696760411771368617541632*x^66+163050186588811\
76808777142521080101994496*x^64-39838272421393125607125088737675624579072*x^\
62+85172485914925693470357995039208945745920*x^60-15935308968557250242850035\
4950702498316288*x^58+260880298542098828940434280337281631911936*x^56-373605\
132376009836592666353367591522664448*x^54+4677974855479987894841228011597099\
31864064*x^52-511760888684473914654224698269058436431872*x^50+48869047407099\
7389915407562671688884682752*x^48-406862569916599315302038894520301569179648\
*x^46+294907676881606545272318642802579549978624*x^44-1857822644548714634685\
50533362294624092160*x^42+101513475964852386789016045049974322364416*x^40-47\
997394228418140011876905216390236995584*x^38+1958366087398906895330208491033\
2969484288*x^36-6873427965463284636898845909486814625792*x^34+20675885966240\
49382271234255458949660672*x^32-530796234546681088475157173285752406016*x^30\
+115727843719802858491046532195727441920*x^28-213071390881448920915599401379\
49331456*x^26+3290850971660397758583179045706399744*x^24-4230599764766791894\
60212674971303936*x^22+44853565680710357325811482561085440*x^20-387880553262\
4975598819979326128128*x^18+269960957856789138735065429180416*x^16-148755918\
78120288779671756079104*x^14+635738950119902789307033714688*x^12-20520934874\
298916852335640576*x^10+482833048306656052485554176*x^8-78740581361583085458\
55488*x^6+82354912456323989766144*x^4-481921188925662035968*x^2+115292150460\
6846976
Common denominator of the automorphisms:
6686360771956533935778221156329740181435081006463697918017623802298953234488\
2231500140425439604839739871223906154499268194242994813246741583409903225315\
074769388465269050811700760725830307202982649319833294864384
Complex polynomial:
x^120+202170*x^108-753699305*x^96+696490229710*x^84+2471448946675*x^72+47702\
34555657592*x^60-28633728701317460*x^48+1115539911964175050*x^36-32053143804\
41551295*x^24+20663764151597670630*x^12+1
Common denominator of the automorphisms:
8777875653908638274872921858735472228000202939239639637039048095864333934463\
816525630765721354951568

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.