Group GAP4(48,10)

Name: (C3 : C8) : C2
Maximal quotients:GAP4(16,6) GAP4(24,7)
Real polynomial:
x^48-720*x^46+243000*x^44-51084000*x^42+7497157500*x^40-815969700000*x^38+68\
288852757600*x^36-4497051829104000*x^34+236512610461833750*x^32-100259407267\
93800000*x^30+344257595317248750000*x^28-9588135288803715000000*x^26+2162095\
46500683082258800*x^24-3927206378019359613168000*x^22+5695871033572622110521\
0000*x^20-651001081514149097019000000*x^18+5752867409962562562803015625*x^16\
-38245081236021612692403750000*x^14+183732554224202331560821875000*x^12-5998\
24842911877066580687500000*x^10+1205533070861246240826445312500*x^8-12693622\
96735752550148437500000*x^6+593972814686609970949218750000*x^4-1017224713745\
85434765625000000*x^2+1414666213523129610351562500
Common denominator of the automorphisms:
1194553964644965025466736100829371875000000
Complex polynomial:
x^48+22218139680*x^32+667140937709748480*x^16+1048576
Common denominator of the automorphisms:
120147292487715282696536064

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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