Group GAP4(64,241)

Name: ((C4 x C2 x C2) : C2) : C2
Maximal quotient:GAP4(32,49)
Real polynomial:
x^64-180*x^62+14112*x^60-642600*x^58+19115576*x^56-395828460*x^54+5932490688\
*x^52-66029984460*x^50+555495339826*x^48-3576149067600*x^46+17770638807936*x\
^44-68569530873300*x^42+206263915768064*x^40-484918882150500*x^38+8923062890\
65824*x^36-1286204279829840*x^34+1452865955563987*x^32-1286204279829840*x^30\
+892306289065824*x^28-484918882150500*x^26+206263915768064*x^24-685695308733\
00*x^22+17770638807936*x^20-3576149067600*x^18+555495339826*x^16-66029984460\
*x^14+5932490688*x^12-395828460*x^10+19115576*x^8-642600*x^6+14112*x^4-180*x\
^2+1
Common denominator of the automorphisms:
34117435788295652026148670105644109274384346400
Complex polynomial:
x^64+112*x^60+2128*x^56+9296*x^52+38204*x^48+268912*x^44+384944*x^40+2065616\
*x^36+3997318*x^32+2065616*x^28+384944*x^24+268912*x^20+38204*x^16+9296*x^12\
+2128*x^8+112*x^4+1
Common denominator of the automorphisms:
725083200768000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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