Group GAP4(120,37)

Name: C5 x S4
Maximal quotients:GAP4(24,12) GAP4(30,1)
Real polynomial:
x^120-720*x^118+232650*x^116-44891200*x^114+5811151423*x^112-537995865360*x^\
110+37112433702602*x^108-1963671441038720*x^106+81452352381322411*x^104-2694\
344815233747120*x^102+72059335965863584518*x^100-1575774607937244083600*x^98\
+28437650995142253361342*x^96-426817911470272302122160*x^94+5362292107288421\
779171100*x^92-56700302774775359227475680*x^90+506938803820948194443732731*x\
^88-3847466052531250417545147200*x^86+24872304548210711419452476518*x^84-137\
358151618637975892474762240*x^82+649684653479908224348671133274*x^80-2637779\
159085766841268823311520*x^78+9211428583008971999538424251638*x^76-277164208\
75750845031330039106560*x^74+71970357126007119198804412571342*x^72-161504787\
838593876369370119770960*x^70+313595932373729034713796551262944*x^68-5274463\
40000255135999987894043440*x^66+769148626955053289007435810119236*x^64-97319\
0339785423198699101204681200*x^62+1069053303329093779586692587837274*x^60-10\
19991144219013249777113245380000*x^58+845450264770980262213709425054039*x^56\
-608814852272803409479922584970320*x^54+380806054558917761850442778466650*x^\
52-206803303650160026291668235057200*x^50+97442709196277509137201602740686*x\
^48-39798212737539656261475674448080*x^46+14071985529085230566141252131284*x\
^44-4300711168572053683709744500960*x^42+1133917473577424443165113818582*x^4\
0-257320869426690035896461874640*x^38+50122448003937558377493881812*x^36-835\
3299718472213313068437760*x^34+1186653365259459780745588011*x^32-14306529918\
8932431065667920*x^30+14564137568401749187636680*x^28-1244536723812286689575\
680*x^26+88655026644760626810921*x^24-5222143239982979817760*x^22+2519271891\
76054897278*x^20-9840001997149191200*x^18+306868713480386864*x^16-7509931698\
039520*x^14+141079034702486*x^12-1975803439200*x^10+19809023641*x^8-13392560\
0*x^6+555390*x^4-1200*x^2+1
Common denominator of the automorphisms:
1052670407108564703313401335576614378829960466645839110071360840463168469749\
1694487144054055174848086574306425986843994026832647656584014233811699577397\
2000723838579972391757820181382496402080045652550990013365370586470277441161\
2464984733785396646549867218016479692917779993465628316159357850164723287416\
251599221025943716146144460332460136707991069473792
Complex polynomial:
x^120+46137276*x^114-29513990680596*x^108+36678352842705504177*x^102+3169934\
784311242202533386*x^96+15759351101250322794789256872*x^90+76904313019552674\
81484780293657*x^84+21218976791688591570919657516517988*x^78+440916496383393\
25921979808730126093629*x^72+14114441478940765312804643340917690919291*x^66-\
978307526971004263142004491291697115170738*x^60+1713955706590258868956306135\
66608025386368574*x^54-758818523158322129113599443977414615810713735*x^48+20\
848291716974723877369017012890451110985232585*x^42+1533051311261150096341406\
641734082964650438864173*x^36-1105147972848286533034519937465217779061168803\
7876*x^30+147670824253606498386934446272876284793698434720609*x^24+531493782\
7922945174651535653418025291203292188936*x^18+141877725570281636037049266568\
43408362519740159*x^12+7889061080234114836297799262224008034498382*x^6+10995\
17471512477485625483086864968577801
Common denominator of the automorphisms:
6710563358862962488657004462627158604290516024734337296821650390300526849020\
2392748060558204726710979015936161461984089034648714734780303337196544639012\
7763826196293152969907031209825299962222576995721902410036043438884113115233\
4606165852273514702930657607745348865769066107226100321385862786143576895689\
352009039139471088202722583506750

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.