Group GAP4(80,8)
Name: C5 : Q16
Maximal quotients:GAP4(16,9) GAP4(40,6)
Real polynomial:
x^80-5280*x^78+11982960*x^76-15495163200*x^74+12775718149920*x^72-7129603638\
907200*x^70+2793431612759903280*x^68-787643139460129444800*x^66+162706594939\
341790580100*x^64-24965993196620495328196800*x^62+28777269051809021255623293\
60*x^60-251591622185944856858674737600*x^58+16826672140146529657141580661600\
*x^56-867565316138126044862642827608000*x^54+3472367366994488896106589200528\
0400*x^52-1085489527329421935922044121249224000*x^50+26640165724254471551279\
489434867825350*x^48-515367525151714694257283881469469264000*x^46+7881582961\
062783069913375991742275514000*x^44-9544482974799310880895084690749505525600\
0*x^42+915677192071845242785496744329938892725600*x^40-695480138187724207302\
8822693738824082904000*x^38+41743211132405603007763605607171618810170000*x^3\
6-197408158631632091981183868582990836223240000*x^34+73256999386785025324566\
9723450640773115018500*x^32-2121982418202097433181668333300847231813960000*x\
^30+4766028324593997399457325780285745753595374000*x^28-82318578858343715491\
51734295918411983436680000*x^26+10821262130003445689292712828848570939670260\
000*x^24-10687491932308751252390686528186163770858440000*x^22+78031774825252\
85837649266249512735352793726000*x^20-41288046152714805281974528914443299343\
20920000*x^18+1545859590787985995859248719718370157309170625*x^16-3982737347\
78591578813368433525711394513100000*x^14+68319953733923928484617005776569293\
029080000*x^12-7490102476326166402846208564868535204800000*x^10+495332282386\
977372829462045880002936320000*x^8-18057353405493667672342703225361024000000\
*x^6+316861152487855882445554661875046400000*x^4-242811766734163515685619333\
4067200000*x^2+6562480182004419342854576578560000
Common denominator of the automorphisms:
5654626369152758712440970764022658232062218218137568373806844545888236261914\
3250032117921949357470123562343609246251206903100924374469364098871576570613\
8925503209337177250488680511837384236066597295243588665379477283192875522623\
61730424890807585316590239266412021760000000
Complex polynomial:
x^80+5280*x^78+11982960*x^76+15495163200*x^74+12775718149920*x^72+7129603638\
907200*x^70+2793431612759903280*x^68+787643139460129444800*x^66+162706594939\
341790580100*x^64+24965993196620495328196800*x^62+28777269051809021255623293\
60*x^60+251591622185944856858674737600*x^58+16826672140146529657141580661600\
*x^56+867565316138126044862642827608000*x^54+3472367366994488896106589200528\
0400*x^52+1085489527329421935922044121249224000*x^50+26640165724254471551279\
489434867825350*x^48+515367525151714694257283881469469264000*x^46+7881582961\
062783069913375991742275514000*x^44+9544482974799310880895084690749505525600\
0*x^42+915677192071845242785496744329938892725600*x^40+695480138187724207302\
8822693738824082904000*x^38+41743211132405603007763605607171618810170000*x^3\
6+197408158631632091981183868582990836223240000*x^34+73256999386785025324566\
9723450640773115018500*x^32+2121982418202097433181668333300847231813960000*x\
^30+4766028324593997399457325780285745753595374000*x^28+82318578858343715491\
51734295918411983436680000*x^26+10821262130003445689292712828848570939670260\
000*x^24+10687491932308751252390686528186163770858440000*x^22+78031774825252\
85837649266249512735352793726000*x^20+41288046152714805281974528914443299343\
20920000*x^18+1545859590787985995859248719718370157309170625*x^16+3982737347\
78591578813368433525711394513100000*x^14+68319953733923928484617005776569293\
029080000*x^12+7490102476326166402846208564868535204800000*x^10+495332282386\
977372829462045880002936320000*x^8+18057353405493667672342703225361024000000\
*x^6+316861152487855882445554661875046400000*x^4+242811766734163515685619333\
4067200000*x^2+6562480182004419342854576578560000
Common denominator of the automorphisms:
5654626369152758712440970764022658232062218218137568373806844545888236261914\
3250032117921949357470123562343609246251206903100924374469364098871576570613\
8925503209337177250488680511837384236066597295243588665379477283192875522623\
61730424890807585316590239266412021760000000
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.