Group GAP4(96,44)

Name: (C4 x (C3 : C4)) : C2
Maximal quotients:GAP4(32,11) GAP4(48,19)
Real polynomial:

x^96-612*x^94+158364*x^92-23333792*x^90+2223235875*x^88-147149693508*x^86+70\
84758195620*x^84-256278791780300*x^82+7134486537588831*x^80-1557324109340599\
00*x^78+2705404693807049404*x^76-37860053235179926912*x^74+43106535047438918\
5312*x^72-4026060862471766055720*x^70+31055515777718956380052*x^68-198954955\
960060084225504*x^66+1063506404413597953983103*x^64-476155428695033169691379\
6*x^62+17911359378496956180880360*x^60-56749238443210769819754212*x^58+15173\
4420220922662388797318*x^56-342863481609779600927049448*x^54+655366470687509\
934112372072*x^52-1060196988465990369801770408*x^50+145160293471362298729580\
1505*x^48-1681501111490758904835049696*x^46+1646551574595648549905465072*x^4\
4-1361242900240937554190670240*x^42+948511468401411093033442800*x^40-5558632\
71008982812652083008*x^38+273263814947514644962572320*x^36-11234115602640144\
3391199872*x^34+38481544363869976497795296*x^32-10936160740066639390923264*x\
^30+2565681227443502100042624*x^28-493995640693107035848704*x^26+77525989115\
208575655552*x^24-9837360871830487712768*x^22+999770010930877184512*x^20-804\
71738398895609856*x^18+5061897928635211008*x^16-244873098614984704*x^14+8933\
078812041216*x^12-239749202771968*x^10+4581816096768*x^8-59534802944*x^6+489\
218048*x^4-2228224*x^2+4096

Common denominator of the automorphisms:

1177497579936578906113639557598215853313431860255584325054899931230817012446\
0245116587518064809619567016208564717966429321219899012462332515382389396317\
8676206968231287562290885249943685868384817677593718560714829754871683433065\
674166543760420691326110470279510097920

Complex polynomial:

x^96+8648640*x^88+42909585565440*x^80+13568769395322982400*x^72+243565380234\
7550285783040*x^64+44331175772035863696707420160*x^56+4580278615196979911774\
54482358272*x^48+301615896328817161965940222501847040*x^40+11393974105215650\
9541539280329103114240*x^32+7999344163535512705541974104473600*x^24+32521705\
5937107138257658839040*x^16+50291738556405393653760*x^8+4503599627370496

Common denominator of the automorphisms:

1451281309595386400789307251592556558667027461909198221370009371003409919341\
13105665497109144604013967382893056491520

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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