Group GAP4(96,73)

Name: C8 x A4
Maximal quotients:GAP4(24,2) GAP4(48,31)
Real polynomial:
x^96-280*x^94+36836*x^92-3036200*x^90+176409082*x^88-7706945576*x^86+2637028\
46996*x^84-7267417266224*x^82+164630953393639*x^80-3112976579971264*x^78+497\
21343345941392*x^76-677170185204886592*x^74+7923370457865936872*x^72-8013342\
6468216369264*x^70+703939750064310360052*x^68-5392426795411675637432*x^66+36\
134122743864722052977*x^64-212319474728112573617256*x^62+1095944752170751830\
905124*x^60-4975772956632749630678328*x^58+19885194485973990672007030*x^56-6\
9969892837128979346626096*x^54+216729019716670817541129376*x^52-590554919927\
190177247172224*x^50+1414010353855901844802121107*x^48-297028783655308044151\
5612096*x^46+5462420460289975393963747384*x^44-8771349373014964150625302704*\
x^42+12258649042198681696017402986*x^40-14853636420403003516496610824*x^38+1\
5532443495337014267842174284*x^36-13941379133187946153556460328*x^34+1067224\
8137667888051272939813*x^32-6915564955079782824337698792*x^30+37599352880382\
16607961657268*x^28-1697385356629509210801620560*x^26+6284244942988034554706\
34356*x^24-188013315420702774425020752*x^22+44656564203507351173039488*x^20-\
8241452676350123237133200*x^18+1151065993417855191830579*x^16-11776453852045\
3155587760*x^14+8474942274247111513148*x^12-408017899635541808472*x^10+12357\
728997065739406*x^8-217834686839125304*x^6+2023196006682580*x^4-833993697805\
6*x^2+11327983489
Common denominator of the automorphisms:
1582076217752144778774407834857084970990668863473488444480903850266181192198\
6050617758068321838314946134191132154869507315147660853488969715157122320705\
4876302496669896280824264165415716035799691873772923701053189164122209978469\
72918075209234178498204149321488184052081482685617087231592998457286240
Complex polynomial:
x^96-48*x^94+1400*x^92-27376*x^90+412924*x^88-4856592*x^86+47334136*x^84-377\
735184*x^82+2605188770*x^80-14933323984*x^78+77847114472*x^76-329102961552*x\
^74+1428146829708*x^72-4270663021680*x^70+19305069109992*x^68-27724658469872\
*x^66+236535308996399*x^64+117284875935776*x^62+2373040390138416*x^60+143176\
0106801824*x^58-8345776943256584*x^56-164993537341229728*x^54-10669875996818\
67472*x^52-4970914042771370656*x^50-16979035411251966244*x^48-30825914851650\
101664*x^46+68048228198310761296*x^44+929787633721353294560*x^42+47061673925\
17292005624*x^40+15215388379633215856928*x^38+27119829481957081572176*x^36-2\
3884862538927950536672*x^34-375834844195892510128401*x^32-147361071215281382\
5616112*x^30-3237792821332564790907944*x^28-2402941488895401841234096*x^26+1\
1250410334534375535621900*x^24+51366446818619390789912240*x^22+1092704800798\
20431998993240*x^20+113523789414918166974463920*x^18-49663838476072189830348\
894*x^16-369122007031035800262091920*x^14-533993426102621536132719032*x^12-1\
77868514370588852781299280*x^10+479491748739774609632265596*x^8+657667384151\
784553492591184*x^6+199378156798533737081668168*x^4-102611163128890788925569\
328*x^2+10472464817923302075473089
Common denominator of the automorphisms:
1694002121676279366883558506045943394124020596642428576478342804970043681241\
4989672549587293871723828919957841723078707659322008283336673842289804338006\
5884392224679732231415590473583867840756363924709912302329297521978507437966\
1247027662568344106379798619288696427646628464474538291747351252959232

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.