Group GAP4(64,100)

Name: (Q8 : C4) : C2
Maximal quotients:GAP4(32,22) GAP4(32,44)
Real polynomial:

x^64-624*x^62+165672*x^60-25571520*x^58+2615631174*x^56-190569570048*x^54+10\
349003915640*x^52-432039221553888*x^50+14175629964920619*x^48-37162277254977\
2640*x^46+7882139795696323560*x^44-136573548311825724528*x^42+19476733490746\
77378492*x^40-22991763245097144727008*x^38+225614820471244563127392*x^36-184\
5715512537810862517088*x^34+12609678236384493750315141*x^32-7198290498897462\
3638166432*x^30+343160141936762980516763232*x^28-136384840393591752806138755\
2*x^26+4505827380356670709175910972*x^24-12322239001022278223133453072*x^22+\
27735230229436253177387309160*x^20-50998167181846347019771462560*x^18+758681\
02845407106066058757739*x^16-90178838671249030192241704992*x^14+842450944505\
47562168640539640*x^12-60501233819172364228559907072*x^10+323855881866040524\
85964322054*x^8-12347994719608300993896002880*x^6+31199929556901940615250405\
52*x^4-458304049988390088133621776*x^2+28644003124274380508351361

Common denominator of the automorphisms:

20685038092442630774553120108927616056334250839052587560460985897380306008

Complex polynomial:

x^64+128815140946*x^48+2249253026608629503425*x^32+3519953018578158125064176\
878576*x^16+16322311914151181912686756096

Common denominator of the automorphisms:

3598610061146320811114228354882840322173123840

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