Group GAP4(48,34)
Name: C2 x (C3 : Q8)
Maximal quotients:GAP4(16,12) GAP4(24,4) GAP4(24,14)
Real polynomial:
x^48-288*x^46+38880*x^44-3269376*x^42+191927232*x^40-8355529728*x^38+2797113\
04704*x^36-7368005099520*x^34+155004407281152*x^32-2628450803810304*x^30+361\
06613673394176*x^28-402406878679400448*x^26+3632839881912871938*x^24-2644388\
1311165006112*x^22+153996761299752290016*x^20-709319832897834190080*x^18+254\
3608033412511920832*x^16-6950739295647627577344*x^14+14060508950745390422016\
*x^12-20240191637109767651328*x^10+19641046283592059589120*x^8-1194325896540\
8864231424*x^6+4145962246581971755008*x^4-713280635601593499648*x^2+43108644\
438273934881
Common denominator of the automorphisms:
15293238534551031640560
Complex polynomial:
x^48-826686*x^24+282429536481
Common denominator of the automorphisms:
1506290861232
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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