Group GAP4(90,2)

Name: C9 x D10
Maximal quotients:GAP4(18,2) GAP4(30,2)
Real polynomial:
x^90-396*x^88+67014*x^86-6492732*x^84+408472155*x^82+3127685*x^81-1794096361\
8*x^80-455638869*x^79+576835393248*x^78+30059443872*x^77-14035095426888*x^76\
-1195090631928*x^75+264816262318797*x^74+32163608051199*x^73-394736605842457\
7*x^72-624283549537761*x^71+47163561868921041*x^70+9094620716415108*x^69-456\
956472022869357*x^68-102213004823330094*x^67+3624090381480939279*x^66+904202\
963591680089*x^65-23710281439349143278*x^64-6392977238291059349*x^63+1287837\
18697429316925*x^62+36561022072320508065*x^61-583791688067048663409*x^60-170\
749739778404203143*x^59+2218163731055914497147*x^58+656252910615486821739*x^\
57-7088618125795326250572*x^56-2088587026560406246938*x^55+19103752839876695\
161038*x^54+5531891708808096791436*x^53-43502452137693906066351*x^52-1224187\
3095862781895687*x^51+83813020111097750544390*x^50+22702759581640901815737*x\
^49-136713976074846563568294*x^48-35357512690018141955262*x^47+1888302397657\
32712281060*x^46+46300500251045583234022*x^45-220752300359779712153802*x^44-\
50993475563977211033442*x^43+218223882886656098544120*x^42+47201561459613517\
884903*x^41-182146489419551573229327*x^40-36654051978507535185627*x^39+12810\
9283920443534952897*x^38+23806744923035548955196*x^37-7572622671198436073469\
3*x^36-12876772024263915916029*x^35+37497366289843848719631*x^34+57667521468\
72961587186*x^33-15491960095096271099538*x^32-2122568186316293716119*x^31+53\
14370449009101075201*x^30+636190904487364537554*x^29-1504806204979674459450*\
x^28-153515117664230115329*x^27+349219141405031420811*x^26+29405485661839995\
600*x^25-65850067006110799614*x^24-4393437964691643513*x^23+9984273083328080\
160*x^22+500860116019806396*x^21-1201961722396809312*x^20-42371076073809546*\
x^19+113148954104271056*x^18+2569408511692383*x^17-8176387701282408*x^16-107\
607744379827*x^15+443332042993647*x^14+3097185041592*x^13-17520625644489*x^1\
2-72809885151*x^11+485442542457*x^10+1984086986*x^9-8925726150*x^8-49595742*\
x^7+100500417*x^6+701568*x^5-614709*x^4-5118*x^3+1620*x^2+18*x-1
Common denominator of the automorphisms:
6438984212873592047708757763363395276489611816834869015153105889817589036122\
4183145415474839765345178112994190963104309638815215020561454693061425380271\
6780064427189153016673378227658245963760589069259458379197099461267269511524\
2936862145520393287729634649856072659521773295545164978762506598085204247497\
2385688432628699941328463491702142098125238978225774449828398716456354616378\
350565565124015659694001027888181743
Complex polynomial:
x^90+33918750*x^81+383606525000000*x^72+3821212177734375000*x^63+16029015829\
010009765625*x^54+33252922196136474609375000*x^45+29510691086673736572265625\
000*x^36+1243931677713990211486816406250*x^27+644569526026025414466857910156\
25*x^18+2000158131122589111328125000000000*x^9+75084686279296875000000000000\
000000
Common denominator of the automorphisms:
1649151292830594377501538760030401129530527211084465783378219604492187500000\
000000000000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.