Group GAP4(86,2)

Name: C86
Maximal quotients:GAP4(2,1) GAP4(43,1)
Real polynomial:
x^86+x^85-85*x^84-84*x^83+3486*x^82+3403*x^81-91881*x^80-88560*x^79+1749060*\
x^78+1663740*x^77-25621596*x^76-24040016*x^75+300500200*x^74+277962685*x^73-\
2898753715*x^72-2641902120*x^71+23446881315*x^70+21042072975*x^69-1613225594\
75*x^68-142466675900*x^67+954526728530*x^66+828931106355*x^65-4898229264825*\
x^64-4179822305984*x^63+21944067106416*x^62+18385569737808*x^61-862707503081\
76*x^60-70907466006720*x^59+298824321028320*x^58+240719591939480*x^57-914734\
449370024*x^56-721480692460864*x^55+2480089880334220*x^54+1913212193400684*x\
^53-5964720367660956*x^52-4495151581425648*x^51+12736262814039336*x^50+93648\
99127970100*x^49-24151581961607100*x^48-17302625882942400*x^47+4066117082491\
4640*x^46+28339603908273840*x^45-60727722660586800*x^44-41107996877935680*x^\
43+80347448443237920*x^42+52728013040874885*x^41-93993414551124795*x^40-5967\
8358445158600*x^39+96977332473382725*x^38+59437719903041025*x^37-87967825456\
500717*x^36-51915437974328292*x^35+69886166503903470*x^34+39602161018878633*\
x^33-48402641245296107*x^32-26252279997448736*x^31+29065024282889672*x^30+15\
033633249770520*x^29-15033633249770520*x^28-7384942649010080*x^27+6646448384\
109072*x^26+3085851035479212*x^25-2488589544741300*x^24-1085929983159840*x^2\
3+780512175396135*x^22+317986441828055*x^21-202355008436035*x^20-76360380541\
900*x^19+42671977361650*x^18+14771069086725*x^17-7174519270695*x^16-22508295\
75120*x^15+937845656300*x^14+262596783764*x^13-92263734836*x^12-22595200368*\
x^11+6540715896*x^10+1362649145*x^9-314457495*x^8-53524680*x^7+9366819*x^6+1\
221759*x^5-148995*x^4-13244*x^3+946*x^2+43*x-1
Common denominator of the automorphisms:
1
Complex polynomial:
x^86+169*x^84+13534*x^82+683735*x^80+24475014*x^78+661035674*x^76+1400716412\
3*x^74+239068027606*x^72+3348411967781*x^70+39015820219676*x^68+382094452659\
843*x^66+3169476843707006*x^64+22399053427194139*x^62+135454184879567131*x^6\
0+703154419781160185*x^58+3140108531733511183*x^56+12079266565134846851*x^54\
+40047355787063760302*x^52+114413894714891196409*x^50+281454397090582345207*\
x^48+595311548639098673026*x^46+1080450950311658275611*x^44+1678192149331707\
931510*x^42+2223480146259930414985*x^40+2503079331386448425684*x^38+23831851\
03485847844425*x^36+1908728061658314607432*x^34+1277975289169341537988*x^32+\
710144974755711583034*x^30+324745038576712069635*x^28+120993894478113729664*\
x^26+36289880422902532579*x^24+8633767726450039353*x^22+1599441630939370014*\
x^20+225299233064025985*x^18+23386852867855557*x^16+1715022516243275*x^14+83\
853249908130*x^12+2525627039919*x^10+42280891260*x^8+350591697*x^6+1348104*x\
^4+2176*x^2+1
Common denominator of the automorphisms:
6233098829221768649949615808930062028117370772155305182714815605684018152494\
2900860006168527947289481940665006095753535685420120553178634027499721516963\
8574414900754156423316434707160901918867932378334639066687282092905857708592\
7146921474837156755405475491

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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