Group GAP4(64,171)

Name: ((C8 x C2) : C2) : C2
Maximal quotients:GAP4(32,31) GAP4(32,43)
Real polynomial:

x^64-640*x^62+175520*x^60-27417600*x^58+2739009920*x^56-186388812800*x^54+89\
90374355200*x^52-315972842803200*x^50+8259907153619200*x^48-1632361501132800\
00*x^46+2471630570556160000*x^44-28996827401125888000*x^42+26607296670267084\
8000*x^40-1924385254991339520000*x^38+11037905250811197440000*x^36-504396016\
83386040320000*x^34+184193882151592360960000*x^32-538369973903961292800000*x\
^30+1259608963336324300800000*x^28-2355852677501406412800000*x^26+3512096612\
177721753600000*x^24-4154645523399376896000000*x^22+387536283518754816000000\
0*x^20-2826613709325729792000000*x^18+1594755158863527936000000*x^16-6863831\
27537909760000000*x^14+221366647642521600000000*x^12-52251742615633920000000\
*x^10+8740780667043840000000*x^8-989072562585600000000*x^6+70345005465600000\
000*x^4-2751882854400000000*x^2+42998169600000000

Common denominator of the automorphisms:

6173725707599633339566060526921327952568384220554224403378672103181409539552\
47137129860893245440000000

Complex polynomial:

x^64+1424*x^56+204400*x^48+5821376*x^40+62215264*x^32+5271296*x^24-1644800*x\
^16+779264*x^8+256

Common denominator of the automorphisms:

72351744000

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