Group GAP4(64,73)

Name: (C2 x C2 x D8) : C2
Maximal quotients:GAP4(32,27) GAP4(32,28) GAP4(32,34)
Real polynomial:

x^64-132*x^62+7464*x^60-243144*x^58+5168110*x^56-76817532*x^54+834353760*x^5\
2-6825156492*x^50+42975457873*x^48-211718071092*x^46+826297063344*x^44-25794\
56980716*x^42+6488507532718*x^40-13225664258928*x^38+21934360530120*x^36-296\
81105478684*x^34+32823733788964*x^32-29681105478684*x^30+21934360530120*x^28\
-13225664258928*x^26+6488507532718*x^24-2579456980716*x^22+826297063344*x^20\
-211718071092*x^18+42975457873*x^16-6825156492*x^14+834353760*x^12-76817532*\
x^10+5168110*x^8-243144*x^6+7464*x^4-132*x^2+1

Common denominator of the automorphisms:

25956163537525580579537908032000

Complex polynomial:

x^64-6*x^60+235*x^56+774*x^52+7209*x^48+14916*x^44+88526*x^40-57528*x^36+214\
370*x^32-57528*x^28+88526*x^24+14916*x^20+7209*x^16+774*x^12+235*x^8-6*x^4+1

Common denominator of the automorphisms:

10014844224000

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