Group GAP4(96,137)

Name: (C12 x C2 x C2) : C2
Maximal quotients:GAP4(32,28) GAP4(48,36) GAP4(48,37) GAP4(48,43)
Real polynomial:
x^96-480*x^94+109596*x^92-15860176*x^90+1635376590*x^88-128059491888*x^86+79\
25963806776*x^84-398455615422000*x^82+16593171992117253*x^80-580885087068913\
232*x^78+17289298155040020816*x^76-441411267000884564400*x^74+97352266998920\
76721082*x^72-186521438868522741925776*x^70+3118505774216288900444100*x^68-4\
5662124593901346759857792*x^66+587193317939817681261317802*x^64-664599987233\
2577447128971648*x^62+66310656314015748137978808916*x^60-5838705350467869008\
12870386704*x^58+4539649522069247095214530873158*x^56-3117251626956548405783\
1404982640*x^54+188996434736305926711240385894368*x^52-101106091712986816381\
2690742239120*x^50+4767320222974459331114866601947677*x^48-19783093455451103\
195491463668028976*x^46+72110388981401656948861499196031392*x^44-23032794740\
2308103153440010413701008*x^42+642817334151445322659170977040221238*x^40-156\
2188787670340381434017245407285168*x^38+329259192474306621293134445352012492\
4*x^36-5990497594285296093880397340570912576*x^34+93570569193260980497934282\
91857811082*x^32-12468564592974318969764322564405789120*x^30+140701995774025\
82990270452033567149420*x^28-13331390666457037019320452383485351344*x^26+105\
00501286416924481085370095226464234*x^24-67957414356370997324325694752240064\
80*x^22+3564569619047708826331460875345513968*x^20-1491094524115165931066587\
996121812976*x^18+487978756658509382989442743957765605*x^16-1220903957701829\
20624973496982626192*x^14+22700357144927869791978823707770088*x^12-302491505\
8960083523451492905457232*x^10+275069162569695645478752653539518*x^8-1588935\
2083742483389403227815280*x^6+517114755433926051429535028436*x^4-71741036319\
19787655302084832*x^2+2279832661614937940007121
Common denominator of the automorphisms:
9156018069863572229073111869439233843447713518810242828877330477319917818135\
3610850923108167846597644984792137684966498670025354968457556074629153400325\
0922062352769641239238790547949581563667052676026462700314965448112622498875\
0997356544
Complex polynomial:
x^96+28704*x^84+523968516*x^72+6260772960*x^60+45561922470*x^48+56346956640*\
x^36+42441449796*x^24+20925216*x^12+6561
Common denominator of the automorphisms:
28074141838962689944320

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.