Group GAP4(64,34)

Name: (((C4 x C2) : C2) : C2) : C2
Maximal quotient:GAP4(32,6)
Real polynomial:

x^64-256*x^62+30208*x^60-2188544*x^58+109376064*x^56-4015638528*x^54+1126063\
27808*x^52-2475384162304*x^50+43439669204736*x^48-616511762350080*x^46+71428\
23022051328*x^44-68006753259962368*x^42+534488588291076096*x^40-347706956427\
3098752*x^38+18745581552328704000*x^36-83737000456144158720*x^34+30947231852\
5732839424*x^32-943621337729851195392*x^30+2363941986836567556096*x^28-48381\
30423588730175488*x^26+8029860123518416191488*x^24-10705855787261229006848*x\
^22+11329718808162380808192*x^20-9374690251525813436416*x^18+595173876859200\
7593984*x^16-2832217498488357781504*x^14+981798588089991430144*x^12-23962627\
4783019139072*x^10+39543482369785724928*x^8-4194849758809948160*x^6+26579203\
8115475456*x^4-8780972052971520*x^2+107304405958656

Common denominator of the automorphisms:

396952122759842802403688919995256320758365215360314037602615296

Complex polynomial:

x^64+208*x^60+21632*x^56+202272*x^52+896528*x^48-5059904*x^44+10827264*x^40-\
13490304*x^36+16642144*x^32-26980608*x^28+43309056*x^24-40479232*x^20+143444\
48*x^16+6472704*x^12+1384448*x^8+26624*x^4+256

Common denominator of the automorphisms:

40104217729516890488832

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