Group GAP4(64,124)

Name: (C8 x C4) : C2
Maximal quotient:GAP4(32,25)
Real polynomial:

x^64-240*x^62+25920*x^60-1681200*x^58+73677720*x^56-2325366000*x^54+54979012\
800*x^52-999579452400*x^50+14230300887900*x^48-160668767646000*x^46+14517117\
36072000*x^44-10562321819286000*x^42+62133597757449000*x^40-2961978403401900\
00*x^38+1145235865010040000*x^36-3590004086057070000*x^34+911037220608522375\
0*x^32-18669903088680450000*x^30+30791502753931800000*x^28-40693039890140250\
000*x^26+42865522299909225000*x^24-35762159811845250000*x^22+234492312543930\
00000*x^20-11971368910973250000*x^18+4702865998449937500*x^16-14002314274462\
50000*x^14+309670375455000000*x^12-49481561171250000*x^10+5491596639375000*x\
^8-398949806250000*x^6+17222625000000*x^4-369056250000*x^2+2562890625

Common denominator of the automorphisms:

136346505147465775627303878941879967407539968000000000

Complex polynomial:

x^64+48*x^56+718*x^48+2880*x^40+2611*x^32-2880*x^24+718*x^16-48*x^8+1

Common denominator of the automorphisms:

18558280

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