Group GAP4(64,38)
Name: (C16 x C2) : C2
Maximal quotients:GAP4(32,9) GAP4(32,18) GAP4(32,19)
Real polynomial:
x^64-350*x^62+54425*x^60-4998900*x^58+304137750*x^56-13029158125*x^54+407865\
899000*x^52-9558080021875*x^50+170454885221875*x^48-2339947431331250*x^46+24\
927725030762500*x^44-207280994392421875*x^42+1350990523879234375*x^40-692265\
7364338593750*x^38+27948585292217578125*x^36-89033682558904296875*x^34+22399\
2808981868359375*x^32-445168412794521484375*x^30+698714632305439453125*x^28-\
865332170542324218750*x^26+844369077424521484375*x^24-647753107476318359375*\
x^22+389495703605664062500*x^20-182808393072753906250*x^18+66583939539794921\
875*x^16-18668125042724609375*x^14+3983065419921875000*x^12-6361893615722656\
25*x^10+74252380371093750*x^8-6102172851562500*x^6+332183837890625*x^4-10681\
152343750*x^2+152587890625
Common denominator of the automorphisms:
81491069236538935546532195617936719246227389386318680534537982940673828125
Complex polynomial:
x^64+536*x^56+19412*x^48+399000*x^40+580454*x^32+213480*x^24+39380*x^16+2920\
*x^8+1
Common denominator of the automorphisms:
881284640768
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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