Group GAP4(56,5)

Name: D56
Maximal quotients:GAP4(8,3) GAP4(28,3)
Real polynomial:

x^56-308*x^54+36014*x^52-2239208*x^50+85760588*x^48-2195792992*x^46+39589945\
392*x^44-521033712160*x^42+5136616639888*x^40-38658566306688*x^38+2252023454\
46752*x^36-1025551265882624*x^34+3675937057040832*x^32-10416467038713088*x^3\
0+23392575624585856*x^28-41665868154852352*x^26+58814992912653312*x^24-65635\
281016487936*x^22+57651800434368512*x^20-39586371898048512*x^18+210395817569\
81248*x^16-8536616340029440*x^14+2594566661210112*x^12-575613958094848*x^10+\
89926494322688*x^8-9391919071232*x^6+604214657024*x^4-20669530112*x^2+268435\
456

Common denominator of the automorphisms:

110517821812734912808908092754536767160320000

Complex polynomial:

x^56-53*x^52+1217*x^48-2460*x^44+8716*x^40-5148*x^36-43386*x^32+83842*x^28-4\
3386*x^24-5148*x^20+8716*x^16-2460*x^12+1217*x^8-53*x^4+1

Common denominator of the automorphisms:

38532579328

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