Group GAP4(72,33)

Name: (C12 x C3) : C2
Maximal quotients:GAP4(24,6) GAP4(36,13)
Real polynomial:
x^72-684*x^70+216954*x^68-42512516*x^66+5784225345*x^64-582251742816*x^62+45\
113474221744*x^60-2763494768230944*x^58+136407036150204276*x^56-550182788373\
5414800*x^54+183228955697057165208*x^52-5077894366750248155952*x^50+11778170\
8862562025534372*x^48-2295950777599238936767008*x^46+37715308761820894447348\
560*x^44-522863905976670620821528928*x^42+6119713258246393848996902382*x^40-\
60427407669155326545315141192*x^38+502489352752014828695690728988*x^36-35089\
11564139706181927068727000*x^34+20494908689786850983866372023966*x^32-996098\
88872972306142624640732064*x^30+400248743536924188201650258268624*x^28-13191\
35257859066842361008902238176*x^26+3532129498241226786026854366588420*x^24-7\
596699970926893756155879650957456*x^22+12947232657027558104541486090988824*x\
^20-17207275138414214365646937456486064*x^18+1749447175714575176224068545793\
2436*x^16-13295022733530700198644374983634400*x^14+7339623174015252122798401\
139652400*x^12-2837490098485852777467563146980000*x^10+730538135038700751695\
564270825625*x^8-116199648839353164802494272187500*x^6+100977491348921332125\
60981656250*x^4-386529132686694989920926562500*x^2+4642778474713556630203515\
625
Common denominator of the automorphisms:
7516260482971954413344088270819957391460245733983709099863269864367029869521\
4967632818110153073586037066677850072524525846067094423935462180267256659611\
27402837674819584000000000
Complex polynomial:
x^72+1680*x^66+814188*x^60+4050560*x^54+216916764*x^48+787316160*x^42+318757\
6864*x^36+4723896960*x^30+7809003504*x^24+874920960*x^18+1055187648*x^12+130\
63680*x^6+46656
Common denominator of the automorphisms:
48352980121456671936000

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.