Group GAP4(120,47)
Name: C30 x C2 x C2
Maximal quotients:GAP4(24,15) GAP4(40,14) GAP4(60,13)
Real polynomial:
x^120-121*x^118+7139*x^116-273701*x^114+7667050*x^112-167296388*x^110+296029\
8627*x^108-43667216702*x^106+547818889114*x^104-5933954311831*x^102+56154606\
690455*x^100-468626041922310*x^98+3475037154696645*x^96-23040142417213000*x^\
94+137290486617519420*x^92-738398033349300585*x^90+3597467601114392465*x^88-\
15924592053558928190*x^86+64209592948345956555*x^84-236321526623272293745*x^\
82+795298226763106555175*x^80-2450700236583892886976*x^78+692256319422462690\
0029*x^76-17940220390580570104477*x^74+42680903552582920340124*x^72-93249265\
005374133221030*x^70+187123936134246713229723*x^68-344873744813731632673116*\
x^66+583610697585994850283489*x^64-906391193431666752792287*x^62+12910574927\
60515994302905*x^60-1685119365247809810793947*x^58+2013239260428266375616501\
*x^56-2198704315319691127166071*x^54+2191639740385575702548774*x^52-19902910\
21174435352796424*x^50+1643252616752063569504225*x^48-1230545550922645086215\
645*x^46+833524553888982051918026*x^44-509129136625973283460455*x^42+2794519\
70966051181646285*x^40-137287489649476675733020*x^38+60094808930042473721535\
*x^36-23317737351519758008544*x^34+7972870239108889883729*x^32-2385987569948\
623944096*x^30+620043754177338562501*x^28-138635429292653389783*x^26+2638144\
7659124273277*x^24-4217469302906537492*x^22+557570039808297437*x^20-59789788\
690601013*x^18+5075457135092136*x^16-330592192352189*x^14+15857666180734*x^1\
2-529854738998*x^10+11412171484*x^8-141838544*x^6+867040*x^4-1920*x^2+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^120+x^119+x^118-x^113-x^112-x^111-x^109-x^108-x^107+x^102+x^101+x^100+x^99\
+x^98+x^97-x^92-x^91-x^90-x^88+x^85+x^81+x^77-x^75-x^74-x^71-x^70+x^68+x^64+\
x^60+x^56+x^52-x^50-x^49-x^46-x^45+x^43+x^39+x^35-x^32-x^30-x^29-x^28+x^23+x\
^22+x^21+x^20+x^19+x^18-x^13-x^12-x^11-x^9-x^8-x^7+x^2+x+1
Common denominator of the automorphisms:
1
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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