Group GAP4(54,7)

Name: (C9 x C3) : C2
Maximal quotients:GAP4(18,1) GAP4(18,4)
Real polynomial:

x^54-4536*x^52+8668296*x^50-9292778460*x^48+6281776752048*x^46-2859297014798\
784*x^44+915798426298248528*x^42-213286447062828578880*x^40+3705195782443335\
5954304*x^38-4896836635205798412696000*x^36+499777221057203507309047296*x^34\
-39823024034642032015732583424*x^32+2495850587127146737411632624384*x^30-123\
578100349746250977210116763648*x^28+4842193358488664389429492976830464*x^26-\
150034090530155824306570541621769216*x^24+3664827473730367281609555966663880\
704*x^22-70199972417012945687932622994957238272*x^20+10465905132895571587895\
18554581373513728*x^18-12024643210318501876780011462188413698048*x^16+105120\
022108293765637876466735985304436736*x^14-6877089583284984935045706739702482\
35433984*x^12+3292307151565801297292165400457251883843584*x^10-1117310195535\
1777252468452478702123707531264*x^8+2562372768099223643882387496737669867844\
4032*x^6-36742159027668652470206345570266706085937152*x^4+286108022785061877\
38242365289902000662642688*x^2-8780034561657983538719879295313841473191936

Common denominator of the automorphisms:

3743242309310417917663703626072252263265915336255445704560412804633898847666\
204795774374889123793293025171268593454984064381766846119936

Complex polynomial:

x^54+54*x^48+1215*x^42+67896*x^36+2017791*x^30+26265870*x^24+157157361*x^18+\
370622628*x^12+93673584*x^6+27000000

Common denominator of the automorphisms:

538829280000

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.