Group GAP4(48,51)
Name: C2 x C2 x C2 x S3
Maximal quotients:GAP4(16,14) GAP4(24,14)
Real polynomial:
x^48-300*x^46+31427*x^44-1539444*x^42+41946875*x^40-697628496*x^38+746581993\
2*x^36-53095118712*x^34+256450930921*x^32-855415065948*x^30+1998752467249*x^\
28-3309328345020*x^26+3911654501206*x^24-3309328345020*x^22+1998752467249*x^\
20-855415065948*x^18+256450930921*x^16-53095118712*x^14+7465819932*x^12-6976\
28496*x^10+41946875*x^8-1539444*x^6+31427*x^4-300*x^2+1
Common denominator of the automorphisms:
2956254651904867494894711427968
Complex polynomial:
x^48+9*x^44+64*x^40+215*x^36+551*x^32-824*x^28+593*x^24-824*x^20+551*x^16+21\
5*x^12+64*x^8+9*x^4+1
Common denominator of the automorphisms:
6766375
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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