Group GAP4(108,9)

Name: (C9 : C4) : C3
Maximal quotients:GAP4(36,6) GAP4(54,6)
Real polynomial:
x^108-1080*x^106+554040*x^104-179809200*x^102+41485834800*x^100-724995748800\
0*x^98+998483081868000*x^96-111335915905920000*x^94+10248309107427600000*x^9\
2-790137987935580337500*x^90+51599939844748531500000*x^88-287950526038912752\
1125000*x^86+138283719505121155029750000*x^84-5747632727282981791695000000*x\
^82+207729582466657226391360000000*x^80-6553356336836571901232137500000*x^78\
+181031847622818619464786600000000*x^76-4390314951073542839541666000000000*x\
^74+93669831386281167947777400398437500*x^72-1761154745232944370016931118750\
000000*x^70+29218281265862509958050474704375000000*x^68-42813935737973246146\
0428959287500000000*x^66+5544465728961818135796297027890625000000*x^64-63476\
152273221948106159048475906250000000*x^62+6424413961920459855550997564802656\
25000000*x^60-5746283375829023748281101498670625000000000*x^58+4539311515765\
2910321418217707039062500000000*x^56-316385822135407918696246763492508984375\
000000*x^54+1943087671800301943638995955199514843750000000*x^52-104974071835\
44202988481824742081720703125000000*x^50+49783275643456839185241187574175222\
656250000000*x^48-206734675027243241980067191172529609375000000000*x^46+7495\
34757270477356421517233516335859375000000000*x^44-23644088663852164230658615\
25411109667968750000000*x^42+64634911127811648138221032503101484375000000000\
00*x^40-15240880814900527023201120072484072265625000000000*x^38+308327374667\
94558150393947036720805358886718750000*x^36-53179637181022919300372355692032\
756347656250000000*x^34+77625215308907681165346002612786301269531250000000*x\
^32-95053942641481543002938089498865112304687500000000*x^30+9661481794731224\
8122927283938256787109375000000000*x^28-804578942015659233583406845710666503\
90625000000000*x^26+54007652425082255767328303526610473632812500000000*x^24-\
28615856201170313450152232164570312500000000000000*x^22+11642316053562478820\
335423274802246093750000000000*x^20-3503407809753890506763982314490509033203\
125000000*x^18+739864606518229786460332170117187500000000000000*x^16-1016101\
59262134389300702257759094238281250000000*x^14+81036806186339874305316116180\
41992187500000000*x^12-319736034278622800260872802734375000000000000*x^10+61\
82925022723365860372314453125000000000000*x^8-567654214337944430465698242187\
50000000000*x^6+224740407648766442871093750000000000000*x^4-3490721504968414\
30664062500000000000*x^2+134672897568225860595703125000000
Common denominator of the automorphisms:
1468783211516987249689964964733610032649017357209676648450840559063799230119\
2491155995261117441986110303889284225626263109198829098171628507703273285978\
0580082717849583168393536996997881510735131997465042469287935762641159290786\
8498826885380532898791679223314761755397253792293361422255289447628379012717\
4155161875953184514924555046359322594486801088952679211581383203083171469240\
5056818149143930258990634048016580737766215757494324751171111555595912555367\
014718151369446793751053450679779052734375000000000
Complex polynomial:
x^108+1080*x^106+554040*x^104+179809200*x^102+41485834800*x^100+724995748800\
0*x^98+998483081868000*x^96+111335915905920000*x^94+10248309107427600000*x^9\
2+790137987935580337500*x^90+51599939844748531500000*x^88+287950526038912752\
1125000*x^86+138283719505121155029750000*x^84+5747632727282981791695000000*x\
^82+207729582466657226391360000000*x^80+6553356336836571901232137500000*x^78\
+181031847622818619464786600000000*x^76+4390314951073542839541666000000000*x\
^74+93669831386281167947777400398437500*x^72+1761154745232944370016931118750\
000000*x^70+29218281265862509958050474704375000000*x^68+42813935737973246146\
0428959287500000000*x^66+5544465728961818135796297027890625000000*x^64+63476\
152273221948106159048475906250000000*x^62+6424413961920459855550997564802656\
25000000*x^60+5746283375829023748281101498670625000000000*x^58+4539311515765\
2910321418217707039062500000000*x^56+316385822135407918696246763492508984375\
000000*x^54+1943087671800301943638995955199514843750000000*x^52+104974071835\
44202988481824742081720703125000000*x^50+49783275643456839185241187574175222\
656250000000*x^48+206734675027243241980067191172529609375000000000*x^46+7495\
34757270477356421517233516335859375000000000*x^44+23644088663852164230658615\
25411109667968750000000*x^42+64634911127811648138221032503101484375000000000\
00*x^40+15240880814900527023201120072484072265625000000000*x^38+308327374667\
94558150393947036720805358886718750000*x^36+53179637181022919300372355692032\
756347656250000000*x^34+77625215308907681165346002612786301269531250000000*x\
^32+95053942641481543002938089498865112304687500000000*x^30+9661481794731224\
8122927283938256787109375000000000*x^28+804578942015659233583406845710666503\
90625000000000*x^26+54007652425082255767328303526610473632812500000000*x^24+\
28615856201170313450152232164570312500000000000000*x^22+11642316053562478820\
335423274802246093750000000000*x^20+3503407809753890506763982314490509033203\
125000000*x^18+739864606518229786460332170117187500000000000000*x^16+1016101\
59262134389300702257759094238281250000000*x^14+81036806186339874305316116180\
41992187500000000*x^12+319736034278622800260872802734375000000000000*x^10+61\
82925022723365860372314453125000000000000*x^8+567654214337944430465698242187\
50000000000*x^6+224740407648766442871093750000000000000*x^4+3490721504968414\
30664062500000000000*x^2+134672897568225860595703125000000
Common denominator of the automorphisms:
1468783211516987249689964964733610032649017357209676648450840559063799230119\
2491155995261117441986110303889284225626263109198829098171628507703273285978\
0580082717849583168393536996997881510735131997465042469287935762641159290786\
8498826885380532898791679223314761755397253792293361422255289447628379012717\
4155161875953184514924555046359322594486801088952679211581383203083171469240\
5056818149143930258990634048016580737766215757494324751171111555595912555367\
014718151369446793751053450679779052734375000000000

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.