Group GAP4(96,219)
Name: C2 x C2 x ((C6 x C2) : C2)
Maximal quotients:GAP4(32,46) GAP4(48,43) GAP4(48,51)
Real polynomial:
x^96-360*x^94+56232*x^92-5101056*x^90+303538512*x^88-12694643064*x^86+390510\
985192*x^84-9128595218184*x^82+166176862245648*x^80-2400862625460864*x^78+27\
944332887625896*x^76-265188459321992088*x^74+2071887510850173148*x^72-134331\
24886613622216*x^70+72749699997050612760*x^68-330894435083748200064*x^66+126\
9757427040151107312*x^64-4126392682107973245720*x^62+11392308822244266270040\
*x^60-26790583926696152599656*x^58+53778872220369920956464*x^56-923084149740\
28338256128*x^54+135655173109039901128728*x^52-170842291055620188423480*x^50\
+184482633039567154592710*x^48-170842291055620188423480*x^46+135655173109039\
901128728*x^44-92308414974028338256128*x^42+53778872220369920956464*x^40-267\
90583926696152599656*x^38+11392308822244266270040*x^36-412639268210797324572\
0*x^34+1269757427040151107312*x^32-330894435083748200064*x^30+72749699997050\
612760*x^28-13433124886613622216*x^26+2071887510850173148*x^24-2651884593219\
92088*x^22+27944332887625896*x^20-2400862625460864*x^18+166176862245648*x^16\
-9128595218184*x^14+390510985192*x^12-12694643064*x^10+303538512*x^8-5101056\
*x^6+56232*x^4-360*x^2+1
Common denominator of the automorphisms:
4291111969775879705307398558400125270370740568732792566499198191931780350025\
9011213734774099561648850137737606740927179456512
Complex polynomial:
x^96+62399736*x^84-39794019876*x^72+477492202232136*x^60+315456894568233990*\
x^48+38676868380803016*x^36-261088564406436*x^24+33161778099576*x^12+4304672\
1
Common denominator of the automorphisms:
85331468475584617021831839744
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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