Group GAP4(108,32)

Name: C3 x C3 x (C3 : C4)
Maximal quotients:GAP4(36,6) GAP4(36,8) GAP4(54,12)
Real polynomial:
x^108-900*x^106+351180*x^104-80283900*x^102+12215329200*x^100-1329569802000*\
x^98+108501072565500*x^96-6861904396515000*x^94+344683875691350000*x^92-1401\
5159990486650000*x^90+468280305688509000000*x^88-13014715751906229000000*x^8\
6+303909122716866923250000*x^84-6012766747896093652500000*x^82+1015082077014\
04422735000000*x^80-1471099440092373339900000000*x^78+1839668260547910269655\
0000000*x^76-199398516742136488599000000000*x^74+188039771900295313487450000\
0000*x^72-15479291533593110587323750000000*x^70+1115448234442206695345025000\
00000*x^68-705317638256765555344556250000000*x^66+39213026403392243863784250\
00000000*x^64-19200208124439448728544125000000000*x^62+829063214661638539813\
51125000000000*x^60-316021039386639599299522500000000000*x^58+10641471757043\
50558841096250000000000*x^56-3166867325711068682792684375000000000*x^54+8330\
341669116365661077362500000000000*x^52-1936606693914792488677106250000000000\
0*x^50+39772724319272379235162687500000000000*x^48-7210937548309792260138187\
5000000000000*x^46+115300920334956687863583750000000000000*x^44-162387057432\
315171797807812500000000000*x^42+201120018432911984913243750000000000000*x^4\
0-218629286000511091973156250000000000000*x^38+20812259693936761473768750000\
0000000000*x^36-173031934201097709498750000000000000000*x^34+125249775561473\
957656875000000000000000*x^32-78650465890065588975000000000000000000*x^30+42\
665434470238855978125000000000000000*x^28-1989656864470986848437500000000000\
0000*x^26+7930869439262374851562500000000000000*x^24-26839224276374882812500\
00000000000000*x^22+764944099951220156250000000000000000*x^20-18183812183018\
6718750000000000000000*x^18+35627157253884375000000000000000000*x^16-5669015\
457304687500000000000000000*x^14+718994069121093750000000000000000*x^12-7092\
9860625000000000000000000000*x^10+5266423828125000000000000000000*x^8-280880\
859375000000000000000000*x^6+10019531250000000000000000000*x^4-2109375000000\
00000000000000*x^2+1953125000000000000000000
Common denominator of the automorphisms:
5763323407344965574146088406513854447903718820255557203508120085311699868866\
2884101083573969227914927847755348737273274997972496195907665240559397272679\
5795202191514945054160494193377304989939067110643434775406096318463708474852\
925513709640449183682399203125000000000000000000000
Complex polynomial:
x^108+900*x^106+351180*x^104+80283900*x^102+12215329200*x^100+1329569802000*\
x^98+108501072565500*x^96+6861904396515000*x^94+344683875691350000*x^92+1401\
5159990486650000*x^90+468280305688509000000*x^88+13014715751906229000000*x^8\
6+303909122716866923250000*x^84+6012766747896093652500000*x^82+1015082077014\
04422735000000*x^80+1471099440092373339900000000*x^78+1839668260547910269655\
0000000*x^76+199398516742136488599000000000*x^74+188039771900295313487450000\
0000*x^72+15479291533593110587323750000000*x^70+1115448234442206695345025000\
00000*x^68+705317638256765555344556250000000*x^66+39213026403392243863784250\
00000000*x^64+19200208124439448728544125000000000*x^62+829063214661638539813\
51125000000000*x^60+316021039386639599299522500000000000*x^58+10641471757043\
50558841096250000000000*x^56+3166867325711068682792684375000000000*x^54+8330\
341669116365661077362500000000000*x^52+1936606693914792488677106250000000000\
0*x^50+39772724319272379235162687500000000000*x^48+7210937548309792260138187\
5000000000000*x^46+115300920334956687863583750000000000000*x^44+162387057432\
315171797807812500000000000*x^42+201120018432911984913243750000000000000*x^4\
0+218629286000511091973156250000000000000*x^38+20812259693936761473768750000\
0000000000*x^36+173031934201097709498750000000000000000*x^34+125249775561473\
957656875000000000000000*x^32+78650465890065588975000000000000000000*x^30+42\
665434470238855978125000000000000000*x^28+1989656864470986848437500000000000\
0000*x^26+7930869439262374851562500000000000000*x^24+26839224276374882812500\
00000000000000*x^22+764944099951220156250000000000000000*x^20+18183812183018\
6718750000000000000000*x^18+35627157253884375000000000000000000*x^16+5669015\
457304687500000000000000000*x^14+718994069121093750000000000000000*x^12+7092\
9860625000000000000000000000*x^10+5266423828125000000000000000000*x^8+280880\
859375000000000000000000*x^6+10019531250000000000000000000*x^4+2109375000000\
00000000000000*x^2+1953125000000000000000000
Common denominator of the automorphisms:
5763323407344965574146088406513854447903718820255557203508120085311699868866\
2884101083573969227914927847755348737273274997972496195907665240559397272679\
5795202191514945054160494193377304989939067110643434775406096318463708474852\
925513709640449183682399203125000000000000000000000

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.