Group GAP4(64,74)

Name: (C2 x C2 x Q8) : C2
Maximal quotients:GAP4(32,27) GAP4(32,29) GAP4(32,31)
Real polynomial:

x^64-216*x^62+21380*x^60-1292808*x^58+53692062*x^56-1632043128*x^54+37771158\
196*x^52-683496887880*x^50+9853541740115*x^48-114711903305736*x^46+108911930\
2890780*x^44-8493681219680760*x^42+54681561290131258*x^40-291552778549333104\
*x^38+1289670304666342616*x^36-4734767245460352480*x^34+14414939176742850537\
*x^32-36319421764344517344*x^30+75487025183353068824*x^28-128841414304134576\
240*x^26+179520844521524575360*x^24-202653643689623304096*x^22+1835651844290\
64975600*x^20-131796502729154731680*x^18+73836974465784960632*x^16-316242294\
42994914048*x^14+10076809858401421216*x^12-2301109566497193792*x^10+35679657\
2710449120*x^8-34542111510247296*x^6+1804761851263808*x^4-37248854505600*x^2\
+14957290000

Common denominator of the automorphisms:

5128380431307528766909268892165587371092448448574051458217023545132162709152\
0437788905330006979469428590080000

Complex polynomial:

x^64+320*x^60+25728*x^56-790784*x^52+13656320*x^48-467275776*x^44+4701282304\
*x^40+49791057920*x^36+153064857600*x^32+253690118144*x^28+303467855872*x^24\
+233988685824*x^20+80095477760*x^16+1828716544*x^12-1711276032*x^8-67108864*\
x^4+16777216

Common denominator of the automorphisms:

4690572968590099730636899249815552

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.