Group GAP4(96,146)

Name: (C2 x C2 x (C3 : C4)) : C2
Maximal quotients:GAP4(32,28) GAP4(48,38) GAP4(48,39) GAP4(48,43)
Real polynomial:
x^96-624*x^94+184416*x^92-34401952*x^90+4554695184*x^88-456237167808*x^86+35\
992025373568*x^84-2298299784501888*x^82+121165244916711264*x^80-535249310624\
3274496*x^78+200399290798543781376*x^76-6416325392660359715328*x^74+17693582\
7253313576205568*x^72-4226254771277801531544576*x^70+87838743974334032524265\
472*x^68-1594360295563875677568759808*x^66+25345529674819680753662996736*x^6\
4-353662787141350976576476864512*x^62+4338692675574288217119715901440*x^60-4\
6848396082153154044957888364544*x^58+445530089079507707031823338651648*x^56-\
3732453359533167224513169023893504*x^54+27539226237537528567256369314004992*\
x^52-178843855171311179814039945000517632*x^50+10211882445174117929080097491\
84380928*x^48-5119258619996247922615831429855051776*x^46+2248771727940693804\
9165174556455862272*x^44-86354352059874830778235668768869056512*x^42+2890463\
91884769666091840445855016419328*x^40-84042661534517217670117238522024401305\
6*x^38+2114079455667679122790064848954384711680*x^36-45790777830330824125335\
41249938605735936*x^34+8493454678661719004260648593148832907264*x^32-1340532\
8805343879034701408338737067196416*x^30+178714459779163801567087348324697678\
80704*x^28-19953782143147802973324347905864642854912*x^26+184741162967881810\
56333029451061499265024*x^24-14019435387527263819133228136637126410240*x^22+\
8601413430843939562039640149893574557696*x^20-419728676729265169830133962445\
4712459264*x^18+1597037300449560849080256703281594630144*x^16-46239991098061\
0257092901512072455520256*x^14+98813188326167234666627374619906015232*x^12-1\
4987137498975570205776897064250114048*x^10+153171268895347327554428360895705\
9072*x^8-97961650489146602906342817445969920*x^6+347055838407636878822517395\
7378048*x^4-52293313291606929684331568824320*x^2+683868595662450001882078248\
96
Common denominator of the automorphisms:
2735581794942430685228745777741054495317902581127046235572897623861000655904\
1991361908841150609702814310200948051765374684549544304956728703529507220668\
1292004755330552601444188448517528460518284245648981318577895971914576908043\
18681817809879560227503250383559719058008092361170616320000
Complex polynomial:
x^96+252*x^90+31752*x^84+3042684*x^78+110925000*x^72-4137876252*x^66+6412754\
6424*x^60-459646899804*x^54+1557334957662*x^48+1378940699412*x^42+5771479178\
16*x^36+111722658804*x^30+8984925000*x^24-739372212*x^18+23147208*x^12-55112\
4*x^6+6561
Common denominator of the automorphisms:
73410306839014884188391308859107616

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.