Group GAP4(48,13)

Name: C12 : C4
Maximal quotients:GAP4(16,4) GAP4(24,4) GAP4(24,6) GAP4(24,7)
Real polynomial:
x^48-840*x^46+304200*x^44-63003000*x^42+8356803750*x^40-754380405000*x^38+48\
127753305000*x^36-2225373172875000*x^34+75855514542609375*x^32-1926731780471\
250000*x^30+36673393274561250000*x^28-523716745806618750000*x^26+55958849857\
87157812500*x^24-44458016211242156250000*x^22+260157187793009531250000*x^20-\
1107319225195652343750000*x^18+3373436374418434130859375*x^16-72069361861208\
37890625000*x^14+10524585358060681640625000*x^12-10188820304492958984375000*\
x^10+6308887087923376464843750*x^8-2376817326301025390625000*x^6+50135925870\
0439453125000*x^4-50819838519287109375000*x^2+1876277209625244140625
Common denominator of the automorphisms:
31170950789141809666166847405738147623243834056680587772336000000000000000
Complex polynomial:
x^48-48*x^46+1572*x^44-44076*x^42+1142316*x^40-20872080*x^38+326681106*x^36-\
4565361024*x^34+55099812672*x^32-469836886032*x^30+3634720243992*x^28-243993\
37980528*x^26+117537848158212*x^24-99033904393056*x^22+63793090206576*x^20-3\
7158692954400*x^18+19784305632096*x^16-6010500573504*x^14+1626601138632*x^12\
-399056041152*x^10+78133748256*x^8-4863123360*x^6+299181600*x^4-17496000*x^2\
+810000
Common denominator of the automorphisms:
57726942948543537402958189178460510530866810502327505000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
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