Group GAP4(72,1)

Name: C9 : C8
Maximal quotients:GAP4(24,1) GAP4(36,1)
Real polynomial:
x^72-3387*x^70+4193106*x^68-2788798221*x^66+1170613187792*x^64-3385700187798\
23*x^62+71248819993136094*x^60-11315062979535637670*x^58+1391412654877165697\
811*x^56-134989258728419813708103*x^54+10476294975166012802587145*x^52-65716\
2026060450431940364036*x^50+33575365493054722971815208812*x^48-1404942353101\
043577339830790187*x^46+48331985456834504277512823551407*x^44-13701055738139\
23837738642330644244*x^42+32037227892563463435998452497151322*x^40-617817647\
446771176379070210593243728*x^38+9813175782338469909484922691320405544*x^36-\
128078119679231211310409591028976438122*x^34+1368881919639819416610925538306\
534138612*x^32-11926845672312348765896520190512293593012*x^30+84240341871918\
480751959839818899305653234*x^28-479100008171139250436315278856695891562692*\
x^26+2176787057530937154868237593296690684762597*x^24-7829634996541447614502\
408118211674859731955*x^22+22065701235260419041206717957390846948398817*x^20\
-48161486187165680885421459072898297383477018*x^18+8036043585819599817836130\
4350203868960807750*x^16-101017181467080097171376164796903300707240625*x^14+\
94066724043184868749349799053309007263343750*x^12-63567388837705433773169337\
282955571728906250*x^10+30334730939567261112634242045146242666015625*x^8-982\
2752355568693585575861240224660156250000*x^6+2022876544733521145197226889712\
463378906250*x^4-234647130897063418514919763306274414062500*x^2+113685625434\
62374928048438144683837890625
Common denominator of the automorphisms:
4101373246898090932500552964461189517143169443781349786452969575744021357921\
5715500183013754834953916044533022498392934500699454464659235835508464980536\
1690851709900401637224964552613681225808019198036018070823041873546504785962\
7746021866623858898611011243241906444081808471679687500
Complex polynomial:
x^72+3387*x^70+4193106*x^68+2788798221*x^66+1170613187792*x^64+3385700187798\
23*x^62+71248819993136094*x^60+11315062979535637670*x^58+1391412654877165697\
811*x^56+134989258728419813708103*x^54+10476294975166012802587145*x^52+65716\
2026060450431940364036*x^50+33575365493054722971815208812*x^48+1404942353101\
043577339830790187*x^46+48331985456834504277512823551407*x^44+13701055738139\
23837738642330644244*x^42+32037227892563463435998452497151322*x^40+617817647\
446771176379070210593243728*x^38+9813175782338469909484922691320405544*x^36+\
128078119679231211310409591028976438122*x^34+1368881919639819416610925538306\
534138612*x^32+11926845672312348765896520190512293593012*x^30+84240341871918\
480751959839818899305653234*x^28+479100008171139250436315278856695891562692*\
x^26+2176787057530937154868237593296690684762597*x^24+7829634996541447614502\
408118211674859731955*x^22+22065701235260419041206717957390846948398817*x^20\
+48161486187165680885421459072898297383477018*x^18+8036043585819599817836130\
4350203868960807750*x^16+101017181467080097171376164796903300707240625*x^14+\
94066724043184868749349799053309007263343750*x^12+63567388837705433773169337\
282955571728906250*x^10+30334730939567261112634242045146242666015625*x^8+982\
2752355568693585575861240224660156250000*x^6+2022876544733521145197226889712\
463378906250*x^4+234647130897063418514919763306274414062500*x^2+113685625434\
62374928048438144683837890625
Common denominator of the automorphisms:
4101373246898090932500552964461189517143169443781349786452969575744021357921\
5715500183013754834953916044533022498392934500699454464659235835508464980536\
1690851709900401637224964552613681225808019198036018070823041873546504785962\
7746021866623858898611011243241906444081808471679687500

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.