Group GAP4(56,7)

Name: (C14 x C2) : C2
Maximal quotients:GAP4(8,3) GAP4(28,3)
Real polynomial:

x^56-332*x^54+44395*x^52-3134684*x^50+131406467*x^48-3561478992*x^46+6632595\
1790*x^44-885261830204*x^42+8714656255231*x^40-64495029420160*x^38+363260846\
757553*x^36-1568467637828016*x^34+5210819158120405*x^32-13339034316647612*x^\
30+26317323647009341*x^28-40017102949942836*x^26+46897372423083645*x^24-4234\
8626221356432*x^22+29424128587361793*x^20-15672292149098880*x^18+63529844100\
63399*x^16-1936067622656148*x^14+435164569694190*x^12-70100590999536*x^10+77\
59420469883*x^8-555299866548*x^6+23593323195*x^4-529315236*x^2+4782969

Common denominator of the automorphisms:

75385852997090296847765578778345875729938072795325141910570625

Complex polynomial:

x^56+7*x^52+917*x^48+8631*x^44+136255*x^40+1159781*x^36+8899429*x^32+3391259\
9*x^28+93402526*x^24-5927334*x^20-2980180*x^16-52434704*x^12+30427873*x^8-53\
06553*x^4+321489

Common denominator of the automorphisms:

81248838021670020616776342765375

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