Group GAP4(80,40)
Name: (C2 x (C5 : C4)) : C2
Maximal quotients:GAP4(16,13) GAP4(40,13)
Real polynomial:
x^80-4812*x^78+10018584*x^76-12033060432*x^74+9392041813457*x^72-50962260683\
44692*x^70+2010842497284004152*x^68-596186139756145340160*x^66+1361797121074\
15020175848*x^64-24436367621059999603010256*x^62+349815252396600979212140812\
8*x^60-404412413829125558386941393480*x^58+38125054838369003466884641882233*\
x^56-2953514200936573013393787136007004*x^54+1891656991576223735225550613050\
99096*x^52-10064000982488694545589511601845550124*x^50+446369309074319047979\
268933116427215109*x^48-16549557410213203647560324825964156535548*x^46+51391\
2129327101278749182722471567160185464*x^44-133833521986600443762972348802181\
36427387012*x^42+292507347775756074307653383771739377730848865*x^40-53667242\
31662677794895191186967472707382191812*x^38+82637584307927212724147330956150\
470924982796664*x^36-1067135337828997037252270464728284796364134233148*x^34+\
11541754084599568478822833447643695763384780029509*x^32-10435001926961121576\
1052384304303020505884504198124*x^30+786517926520888874147653231859250616088\
378253329496*x^28-4924358602652031977020974967884565806134184449058204*x^26+\
25489743074828639082071572549993558293756350140867833*x^24-10842360216817170\
0583824406625014963578629438882721480*x^22+376081930547946563983670840670755\
996741584407315520128*x^20-1053476249324726768820787494046883681874013014460\
936656*x^18+2354208281789871198025912945788994600907474204659126248*x^16-413\
2936372964742232773571469442020750729741285750972160*x^14+558983864400430908\
9477611191560072141085609564352375352*x^12-568086245591623211021116060223022\
7873634853746002096692*x^10+419826626601303759476989694877126286803048236090\
2338257*x^8-2156902095355652910635296760102855825015515968484318032*x^6+7201\
20295466720551626473357045244680513518961896143384*x^4-138697520884800644189\
344772418416482654140779884896012*x^2+11558126740400053682445397701534706887\
845064990408001
Common denominator of the automorphisms:
6128399782381669487043576975579655498429986407962882384591187070612491528329\
917561070749801162188527672081584592430074185
Complex polynomial:
x^80+2770*x^72+594225*x^64+48522450*x^56+1829655300*x^48+37331788050*x^40+55\
8781208625*x^32-259353948750*x^24+30933230625*x^16-114380000*x^8+160000
Common denominator of the automorphisms:
101300813177653957162394096640000
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.