Group GAP4(128,1631)
Name: C2 x C2 x ((C4 x C4) : C2)
Maximal quotients:GAP4(64,101) GAP4(64,193)
Real polynomial:
x^128-448*x^126+96448*x^124-13300160*x^122+1321250648*x^120-100823254464*x^1\
18+6153959576560*x^116-308909816794944*x^114+13012592474926660*x^112-4670823\
14757130240*x^110+14457848403804455024*x^108-389611595464637030016*x^106+921\
1668524446905230032*x^104-192304040590411038837056*x^102+3563532501458971634\
536096*x^100-58876109279287234353480896*x^98+870524248104323601848494330*x^9\
6-11554952027898573698695704000*x^94+138053395285002376688403522256*x^92-148\
7915879138079338417498353216*x^90+14493091352452222150344605647048*x^88-1277\
76575505499034156644545819520*x^86+1020886161990561766287451505878288*x^84-7\
398632725521272628101318542546560*x^82+48672001555477017730741117162917024*x\
^80-290781414002614995667931309288338880*x^78+157806957223912339366272717978\
9314400*x^76-7780016667534481673894369010104671168*x^74+34839027186565795853\
709709217434635464*x^72-141655727360586761844062976464433191488*x^70+5227000\
75579295579596314903963209638448*x^68-17490615886563985832458189015464829498\
24*x^66+5302623587311850543279017351290129248307*x^64-1454863333635497637108\
1371752213943110848*x^62+36076366220816504796964958205850801099792*x^60-8072\
7887908830461610114232979026159141696*x^58+162726728115816944210363130205803\
493939784*x^56-294890657279107287235433688653707169586560*x^54+4793514608626\
70121492056904533493929144272*x^52-69718251273424161056339143579029390650022\
4*x^50+904737063143182053673130877593009895899616*x^48-104431400141059469752\
6985309548417408959680*x^46+1068501271417139626480167385902510609022304*x^44\
-965372890930188316514565935857148825928896*x^42+766925532384984157418054854\
123664033182600*x^40-533225862335213001780733289812874591247168*x^38+3227789\
31803591360818904328546456464844784*x^36-16912724884721667477407797069374536\
6404544*x^34+76210996602308437306860903790203838835754*x^32-2931914145750167\
9008545730968265724078848*x^30+9550736870719507216543713158436470312464*x^28\
-2609770558301190966637385641627296814464*x^26+59179441069061718545974635347\
4581783472*x^24-109980028011223170634346656305946435264*x^22+165062929582703\
10544630755835285650144*x^20-1965915686830958793646923963876107840*x^18+1818\
97308283300988276447969382885844*x^16-12736122737482115929610457501052352*x^\
14+652977038165652116427331179194288*x^12-23509750279641294307018259702080*x\
^10+563561601735866274352886554552*x^8-8405214251529929411151218688*x^6+7137\
9554371859923347294864*x^4-295731992832253828478208*x^2+40255207538618359448\
1
Common denominator of the automorphisms:
7460237419479945308752705876497413898222977534814469793022460399544095057899\
8682450269800287748671554335222722775913517870884016683744706094182095966683\
3331040461611768056980091367032841314431396446328480360081844225807295174015\
9104329669367536624852291934172713946050004862242502185767365062092178434601\
8840220818437329557442956199991974566851713568221063270487823241982921786159\
1288381234926560898473781396936498615824813545420977602127560895789049391709\
5262127890113707806866390127590182748050799745027834988218570330557032811679\
448491248092153930879718129827431986047399816757641216
Complex polynomial:
x^128+638*x^112+273891*x^96+84974206*x^80+17736928001*x^64-1504422944*x^48+9\
3512448*x^32-2891776*x^16+65536
Common denominator of the automorphisms:
849056410462886459407984492544
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.