Group GAP4(108,7)

Name: C9 x (C3 : C4)
Maximal quotients:GAP4(36,2) GAP4(36,6) GAP4(54,4)
Real polynomial:
x^108-4860*x^106+8850060*x^104-7699506300*x^102+3501629076600*x^100-88870579\
5042000*x^98+142602868027183500*x^96-15830413698425400000*x^94+1291893672083\
709240000*x^92-80845404630580287750000*x^90+3999608426262212673300000*x^88-1\
60034193025011863536500000*x^86+5270457429441883435542750000*x^84-1448413279\
50718252338210000000*x^82+3358147481692594079225715000000*x^80-6626676897464\
9710160280600000000*x^78+1120920634701885015054938700000000*x^76-16347053371\
324997959863552000000000*x^74+206490880507115770763651313750000000*x^72-2267\
524550022680405440542577500000000*x^70+2170803727924503567296912604000000000\
0*x^68-181554537637375249865554654875000000000*x^66+132834660436193970781448\
3497050000000000*x^64-8508427569260419999680174333375000000000*x^62+47715714\
269996867187385239876937500000000*x^60-2341609997893396438403250222862500000\
00000*x^58+1004375199799650268312585343662500000000000*x^56-3758380128976786\
201261648246000000000000000*x^54+1223802535654757081086058110837500000000000\
0*x^52-34559698708054256346079671376687500000000000*x^50+8428320557513618859\
9425039873906250000000000*x^48-176589767426823803985411133951875000000000000\
*x^46+315867837492700239318852377986875000000000000*x^44-4787198741111905396\
13504134443750000000000000*x^42+60927049346850804371718073601250000000000000\
0*x^40-644398000293282040389994898625000000000000000*x^38+559650546743941410\
846026513765625000000000000*x^36-3938542981426620100405458562500000000000000\
00*x^34+221491216807322181922532503125000000000000000*x^32-98213784287750503\
754969601562500000000000000*x^30+3396074642885194377439702500000000000000000\
0*x^28-9090787465282123812688031250000000000000000*x^26+18775870896693827907\
72984375000000000000000*x^24-299083505026025006540156250000000000000000*x^22\
+36775763773838936634375000000000000000000*x^20-3492823635841032307031250000\
000000000000*x^18+255989603718846956250000000000000000000*x^16-1442443007747\
2500000000000000000000000*x^14+620138766860015625000000000000000000*x^12-200\
74596094687500000000000000000000*x^10+478894034531250000000000000000000*x^8-\
8131457812500000000000000000000*x^6+92643750000000000000000000000*x^4-632812\
500000000000000000000*x^2+1953125000000000000000000
Common denominator of the automorphisms:
8325115317341973017156512055748040144713777326926255014174175970769224309022\
0923884053934801647304974664492084264227774443417951338657079980086502961973\
9038321490413922135710651257221677876606017984581439435315788758079748353486\
9705637729469080394493379194974854005073446857860986863269227769113369012027\
1284020947791552328868826881175992886420333631495933684150672201054369906668\
1831572940284146189770753533112205440203466913787387304687500000000000000000\
00
Complex polynomial:
x^108+4860*x^106+8850060*x^104+7699506300*x^102+3501629076600*x^100+88870579\
5042000*x^98+142602868027183500*x^96+15830413698425400000*x^94+1291893672083\
709240000*x^92+80845404630580287750000*x^90+3999608426262212673300000*x^88+1\
60034193025011863536500000*x^86+5270457429441883435542750000*x^84+1448413279\
50718252338210000000*x^82+3358147481692594079225715000000*x^80+6626676897464\
9710160280600000000*x^78+1120920634701885015054938700000000*x^76+16347053371\
324997959863552000000000*x^74+206490880507115770763651313750000000*x^72+2267\
524550022680405440542577500000000*x^70+2170803727924503567296912604000000000\
0*x^68+181554537637375249865554654875000000000*x^66+132834660436193970781448\
3497050000000000*x^64+8508427569260419999680174333375000000000*x^62+47715714\
269996867187385239876937500000000*x^60+2341609997893396438403250222862500000\
00000*x^58+1004375199799650268312585343662500000000000*x^56+3758380128976786\
201261648246000000000000000*x^54+1223802535654757081086058110837500000000000\
0*x^52+34559698708054256346079671376687500000000000*x^50+8428320557513618859\
9425039873906250000000000*x^48+176589767426823803985411133951875000000000000\
*x^46+315867837492700239318852377986875000000000000*x^44+4787198741111905396\
13504134443750000000000000*x^42+60927049346850804371718073601250000000000000\
0*x^40+644398000293282040389994898625000000000000000*x^38+559650546743941410\
846026513765625000000000000*x^36+3938542981426620100405458562500000000000000\
00*x^34+221491216807322181922532503125000000000000000*x^32+98213784287750503\
754969601562500000000000000*x^30+3396074642885194377439702500000000000000000\
0*x^28+9090787465282123812688031250000000000000000*x^26+18775870896693827907\
72984375000000000000000*x^24+299083505026025006540156250000000000000000*x^22\
+36775763773838936634375000000000000000000*x^20+3492823635841032307031250000\
000000000000*x^18+255989603718846956250000000000000000000*x^16+1442443007747\
2500000000000000000000000*x^14+620138766860015625000000000000000000*x^12+200\
74596094687500000000000000000000*x^10+478894034531250000000000000000000*x^8+\
8131457812500000000000000000000*x^6+92643750000000000000000000000*x^4+632812\
500000000000000000000*x^2+1953125000000000000000000
Common denominator of the automorphisms:
8325115317341973017156512055748040144713777326926255014174175970769224309022\
0923884053934801647304974664492084264227774443417951338657079980086502961973\
9038321490413922135710651257221677876606017984581439435315788758079748353486\
9705637729469080394493379194974854005073446857860986863269227769113369012027\
1284020947791552328868826881175992886420333631495933684150672201054369906668\
1831572940284146189770753533112205440203466913787387304687500000000000000000\
00

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.