Group GAP4(64,78)

Name: (C2 x (C4 : C4)) : C2
Maximal quotients:GAP4(32,28) GAP4(32,30) GAP4(32,31) GAP4(32,33)
Real polynomial:

x^64-288*x^62+36864*x^60-2808512*x^58+143762784*x^56-5286665984*x^54+1456963\
61472*x^52-3097106754816*x^50+51833104999936*x^48-693254094009344*x^46+74917\
39130253312*x^44-65940984074391552*x^42+475408970964302848*x^40-281792866849\
4856192*x^38+13760094567898390528*x^36-55379958115681132544*x^34+18352669959\
9628290048*x^32-499580305448447541248*x^30+1112657775103979683840*x^28-20163\
18636525482606592*x^26+2951308648871033798656*x^24-3456695785178977271808*x^\
22+3201785499780913299456*x^20-2311192860035107782656*x^18+12765036960332272\
10752*x^16-527065742372464754688*x^14+157878846942634573824*x^12-32952767533\
046300672*x^10+4522976918721527808*x^8-371599278470070272*x^6+15139954577375\
232*x^4-176309976170496*x^2+578865332224

Common denominator of the automorphisms:

3451662045391604349292571279783830991884617617905236660276072874498523941866\
42996724206845882168728532002177455995499949546536960

Complex polynomial:

x^64+32*x^60+10368*x^56+817152*x^52+14455040*x^48-46442496*x^44+1382113280*x\
^40-11537612800*x^36+58159816704*x^32-362024665088*x^28+1330199920640*x^24-2\
339893149696*x^20+2725174575104*x^16+1221725257728*x^12+1340331786240*x^8-53\
6870912*x^4+16777216

Common denominator of the automorphisms:

2158020917833643181770097349105312187526676480

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