Group GAP4(90,4)

Name: C90
Maximal quotients:GAP4(18,2) GAP4(30,4) GAP4(45,1)
Real polynomial:
x^90-90*x^88+3915*x^86-109650*x^84+2222325*x^82-x^81-34731018*x^80+81*x^79+4\
35515940*x^78-3159*x^77-4502080440*x^76+79002*x^75+39118686750*x^74-1423575*\
x^73-289875371500*x^72+19690290*x^71+1852303623885*x^70-217468314*x^69-10295\
312431950*x^68+1969809516*x^67+50112653247825*x^66-14915235753*x^65-21476851\
3919250*x^64+95752130761*x^63+813859631694000*x^62-526771581399*x^61-2736015\
224059296*x^60+2503875310578*x^59+8180315788150260*x^58-10348141710243*x^57-\
21792203058521160*x^56+37365688522638*x^55+51790112206979299*x^54-1183114052\
63766*x^53-109876427825333346*x^52+329359857471684*x^51+208137347566273035*x\
^50-807565197712095*x^49-351923051440538550*x^48+1745766772760115*x^47+53070\
7489337922876*x^46-3328352542387285*x^45-712890657317830536*x^44+55943574307\
16670*x^43+851508285118335549*x^42-8281522083154005*x^41-902336779618539714*\
x^40+10779224836342830*x^39+845940730653810720*x^38-12307473762693606*x^37-6\
99231432052379167*x^36+12289443501261492*x^35+507506682280786866*x^34-106910\
58175583814*x^33-321889478890590234*x^32+8065045096331454*x^31+1773968581297\
07328*x^30-5246185143977442*x^29-84382305356257785*x^28+2922811376765083*x^2\
7+34371218882624355*x^26-1383504532312239*x^25-11877324379703460*x^24+551070\
740816496*x^23+3443404461812415*x^22-182591491178943*x^21-826401439064835*x^\
20+49633573348989*x^19+161530295345625*x^18-10883445346962*x^17-252014991654\
60*x^16+1885488441345*x^15+3059455316004*x^14-251420392179*x^13-279568374606\
*x^12+24947069148*x^11+18379445589*x^10-1759771452*x^9-814062150*x^8+8261792\
1*x^7+21847266*x^6-2321460*x^5-288603*x^4+31707*x^3+972*x^2-108*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^90-x^89+5*x^88-6*x^87+20*x^86-27*x^85+75*x^84-110*x^83+275*x^82-429*x^81+1\
001*x^80-1637*x^79+3639*x^78-6172*x^77+13243*x^76-23104*x^75+48280*x^74-8609\
0*x^73+176341*x^72-100284*x^71+425642*x^70-87765*x^69+1046548*x^68+3829*x^67\
+2742426*x^66+250187*x^65+7679125*x^64+490866*x^63+22745088*x^62-1237236*x^6\
1+70402624*x^60-16268027*x^59+225440685*x^58-98338301*x^57+741326324*x^56-47\
9956016*x^55+2490192381*x^54-2116463255*x^53+3854637172*x^52-4151371325*x^51\
+6229909121*x^50-7412285521*x^49+10430359769*x^48-12790297687*x^47+177365241\
62*x^46-21599688161*x^45+30296097962*x^44-35544744828*x^43+51510797394*x^42-\
55738942499*x^41+85859291866*x^40-77944533158*x^39+135177225771*x^38-7367145\
2702*x^37+178707823213*x^36+80112350900*x^35+86117439691*x^34+65851539218*x^\
33+56503255309*x^32+46210344723*x^31+38892624194*x^30+31786463280*x^29+27053\
762520*x^28+21635673704*x^27+19050548911*x^26+14401419431*x^25+13760046485*x\
^24+9036494340*x^23+10420629456*x^22+4750680155*x^21+8359761803*x^20+1035317\
680*x^19+6357387289*x^18-1809501081*x^17+515037713*x^16-146595013*x^15+41725\
295*x^14-11876254*x^13+3380337*x^12-962142*x^11+273856*x^10-77946*x^9+22187*\
x^8-6314*x^7+1798*x^6-511*x^5+146*x^4-41*x^3+12*x^2-3*x+1
Common denominator of the automorphisms:
186864340846321642018342593703144241

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.