Group GAP4(80,27)
Name: C5 x Q16
Maximal quotients:GAP4(16,9) GAP4(40,10)
Real polynomial:
x^80-1080*x^78+524700*x^76-152247600*x^74+29556687600*x^72-4078108026000*x^7\
0+414915730263000*x^68-31897924349580000*x^66+1885024392305900625*x^64-86719\
093813108125000*x^62+3136027491130105012500*x^60-89844939749669729625000*x^5\
8+2052394917466802242500000*x^56-37590489696753426819375000*x^54+55467163492\
3404502081875000*x^52-6621932501776508501053125000*x^50+64205556705619664115\
150000000*x^48-507305958247675058363437500000*x^46+3276271035524454020838562\
500000*x^44-17339441618860536704191171875000*x^42+75367382123839468873215937\
500000*x^40-269502030157982595977404687500000*x^38+7937178352416757057207095\
70312500*x^36-1926250563220719294377742187500000*x^34+3851241340347140291071\
248779296875*x^32-6336724832920661116000693359375000*x^30+856291985891338265\
5107744140625000*x^28-9473349467189713158643798828125000*x^26+85422215672553\
84809360449218750000*x^24-6240228921288650793317871093750000*x^22+3663793562\
761566122811767578125000*x^20-1710982748580696953327636718750000*x^18+626988\
591672520693813934326171875*x^16-177113868404502019152832031250000*x^14+3766\
5747214721105932617187500000*x^12-5839186346540662994384765625000*x^10+63076\
2173527341796875000000000*x^8-44474377692930908203125000000*x^6+185815346076\
8508911132812500*x^4-39903080760955810546875000*x^2+332525673007965087890625
Common denominator of the automorphisms:
1138414764832268296071221610616671720492162968622299741499256592187953218732\
8166639060199027681643711802280592710084017604233989322702304074469144408908\
607401371002197265625
Complex polynomial:
x^80+1080*x^78+524700*x^76+152247600*x^74+29556687600*x^72+4078108026000*x^7\
0+414915730263000*x^68+31897924349580000*x^66+1885024392305900625*x^64+86719\
093813108125000*x^62+3136027491130105012500*x^60+89844939749669729625000*x^5\
8+2052394917466802242500000*x^56+37590489696753426819375000*x^54+55467163492\
3404502081875000*x^52+6621932501776508501053125000*x^50+64205556705619664115\
150000000*x^48+507305958247675058363437500000*x^46+3276271035524454020838562\
500000*x^44+17339441618860536704191171875000*x^42+75367382123839468873215937\
500000*x^40+269502030157982595977404687500000*x^38+7937178352416757057207095\
70312500*x^36+1926250563220719294377742187500000*x^34+3851241340347140291071\
248779296875*x^32+6336724832920661116000693359375000*x^30+856291985891338265\
5107744140625000*x^28+9473349467189713158643798828125000*x^26+85422215672553\
84809360449218750000*x^24+6240228921288650793317871093750000*x^22+3663793562\
761566122811767578125000*x^20+1710982748580696953327636718750000*x^18+626988\
591672520693813934326171875*x^16+177113868404502019152832031250000*x^14+3766\
5747214721105932617187500000*x^12+5839186346540662994384765625000*x^10+63076\
2173527341796875000000000*x^8+44474377692930908203125000000*x^6+185815346076\
8508911132812500*x^4+39903080760955810546875000*x^2+332525673007965087890625
Common denominator of the automorphisms:
1138414764832268296071221610616671720492162968622299741499256592187953218732\
8166639060199027681643711802280592710084017604233989322702304074469144408908\
607401371002197265625
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.