Group GAP4(92,2)

Name: C92
Maximal quotients:GAP4(4,1) GAP4(46,2)
Real polynomial:
x^92-x^91-92*x^90+91*x^89+4094*x^88-4003*x^87-117393*x^86+113390*x^85+243797\
1*x^84-2324581*x^83-39076980*x^82+36752399*x^81+503051714*x^80-466299315*x^7\
9-5344160005*x^78+4877860690*x^77+47774185315*x^76-42896324625*x^75-36465656\
6264*x^74+321760241639*x^73+2403302637767*x^72-2081542396128*x^71-1379627703\
1285*x^70+11714734635157*x^69+69461646867298*x^68-57746912232141*x^67-308421\
014231961*x^66+250674101999820*x^65+1212983755284164*x^64-962309653284344*x^\
63-4240080733881622*x^62+3277771080597278*x^61+13208741568821520*x^60-993097\
0488224242*x^59-36744150567585398*x^58+26813180079361156*x^57+91405296320300\
746*x^56-64592116240939590*x^55-203515882002773400*x^54+138923765761833810*x\
^53+405736667949691646*x^52-266812902187857836*x^51-724241438064879302*x^50+\
457428535877021466*x^49+1156896789790953484*x^48-699468253913932018*x^47-165\
2201135808582298*x^46+952732881894650281*x^45+2106569137643424181*x^44-11538\
36255748773947*x^43-2393398393023789984*x^42+1239562137275017071*x^41+241737\
7005843189273*x^40-1177814868568186349*x^39-2164167571269397002*x^38+9863527\
02701345543*x^37+1711276660694844735*x^36-724923957994451130*x^35-1190158262\
021481703*x^34+465234304032184969*x^33+724405449412781107*x^32-2591711454025\
02321*x^31-383619192872046018*x^30+124448047543687701*x^29+17553065342793100\
4*x^28-51082606085862963*x^27-68831433801649803*x^26+17748828158260256*x^25+\
22908065562872044*x^24-5159238188996480*x^23-6396334451428506*x^22+123709738\
2981586*x^21+1477644931978778*x^20-240548831798272*x^19-277689340097610*x^18\
+37141674482138*x^17+41576682540727*x^16-4435838963834*x^15-4831653469269*x^\
14+396270163150*x^13+421429142451*x^12-25346603066*x^11-26386797063*x^10+109\
6265467*x^9+1114673560*x^8-30001818*x^7-28966322*x^6+510334*x^5+397860*x^4-6\
436*x^3-2160*x^2+48*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^92+188*x^90+16826*x^88+954664*x^86+38579480*x^84+1182933600*x^82+286301000\
08*x^80+561836638880*x^78+9114028460896*x^76+123993799052160*x^74+1430587154\
148544*x^72+14120898620633856*x^70+120086639098845440*x^68+88488043160642457\
6*x^66+5676137221837067392*x^64+31816788216088949248*x^62+156332962003267657\
728*x^60+675048502570727903232*x^58+2566756983675576559616*x^56+860741786539\
6901847040*x^54+25485018314596230488064*x^52+66669611922805576138752*x^50+15\
4146738794940815335424*x^48+314965026325523795902464*x^46+568449790558854837\
731328*x^44+905355017973288375287808*x^42+1270698093082065787748352*x^40+156\
8743755799461075615744*x^38+1699449061754345315106816*x^36+16107109035115551\
10862848*x^34+1330768793844635948646400*x^32+954248679213202286182400*x^30+5\
90770615872102320242688*x^28+313805603003146679091200*x^26+14195524602883568\
6055936*x^24+54203121391138449653760*x^22+17283613555451654307840*x^20+45431\
78196171431608320*x^18+968992620206523678720*x^16+164428836810648453120*x^14\
+21653806821419253760*x^12+2142854786465136640*x^10+152612632883363840*x^8+7\
360474114949120*x^6+219066803421184*x^4+3409600053248*x^2+18530435072
Common denominator of the automorphisms:
2421221540599678077748967593939653207367609242526481452608850136144212942520\
4459714027946251259419935616176164037006966082574042464246657117491003841303\
494520393957376

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.