Group GAP4(108,42)

Name: C3 x C6 x S3
Maximal quotients:GAP4(36,12) GAP4(36,14) GAP4(54,12)
Real polynomial:
x^108-390*x^106+70824*x^104-7972544*x^102+624857532*x^100-36314729688*x^98+1\
627659740008*x^96-57783916841448*x^94+1656303738368160*x^92-3888701918958686\
4*x^90+756198719767076832*x^88-12288015632289911808*x^86+1680646812119707892\
96*x^84-1946368272897655504224*x^82+19183581383232482607744*x^80-16161354900\
8901933708896*x^78+1168159644623129160622464*x^76-7268133203489556137571456*\
x^74+39036798270518032244185920*x^72-181435761712850885974859904*x^70+731272\
705773662725600197120*x^68-2560380191147860636216746624*x^66+779854382870243\
8417423835136*x^64-20686099285122736855163742720*x^62+4782220830261612121813\
7300224*x^60-96395045155666169053437149184*x^58+1694337951276354576519672238\
08*x^56-259638557979240305213320157696*x^54+346674570709902248982911496192*x\
^52-402970089160152011500462718976*x^50+407275507820480260962441773056*x^48-\
357342232629576705789077102592*x^46+271657984589298017027356631040*x^44-1785\
27585146666150143600934912*x^42+101151306971672095886570053632*x^40-49259440\
678281838889955459072*x^38+20547110540416863502217011200*x^36-73124293536868\
51819868454912*x^34+2210717370625927614374510592*x^32-5650239950068095265498\
15296*x^30+121432081530939196492873728*x^28-21814172462598964244742144*x^26+\
3253631865339621238243328*x^24-399852123829116102967296*x^22+401294378317044\
00494592*x^20-3254159786572744687616*x^18+210449847171655532544*x^16-1067586\
0968470609920*x^14+415734636129091584*x^12-12070903961616384*x^10+2509190890\
78272*x^8-3520862748672*x^6+30511988736*x^4-141557760*x^2+262144
Common denominator of the automorphisms:
2455909441979309755964372837956608775266798611510734443029514263248130736738\
2147792500658591072687355622073369955458077767682597590094382402324010145520\
6099671002883713704522112325848317527758809937813407701148351264664834201893\
5001514384834000636394494113843852962016558910340840594239971279117987259149\
0854915422707568737319588930370968134625980254249680169612071347783821531494\
8808644493312
Complex polynomial:
x^108-582*x^102+119019*x^96-8138294*x^90-165662949*x^84+19388714976*x^78+140\
2466738736*x^72+46095648511782*x^66+906714183730191*x^60+10838081504466486*x\
^54+76769725670642973*x^48+322046702879945346*x^42+917217924667264310*x^36+2\
018636392749407388*x^30+3683789378890145586*x^24+4239572828042754824*x^18+28\
87257360852597321*x^12-6823985367940590*x^6+4195872914689
Common denominator of the automorphisms:
1565017077429423096112331639572797878602812947434117688585201359752848681638\
3240052226907718514252500687202671666881684802504576040

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.