Group GAP4(90,10)

Name: C30 x C3
Maximal quotients:GAP4(18,5) GAP4(30,4) GAP4(45,2)
Real polynomial:
x^90-x^89-90*x^88+89*x^87+3915*x^86-3827*x^85-109650*x^84+105911*x^83+222232\
4*x^82-2120152*x^81-34730936*x^80+32712956*x^79+435512701*x^78-404817725*x^7\
7-4501998357*x^76+4127875608*x^75+39117187099*x^74-35363434240*x^73-28985432\
7936*x^72+258244646555*x^71+1852067680803*x^70-1625432715629*x^69-1029314126\
5370*x^68+8894343514915*x^67+50095938487816*x^66-42600392723356*x^65-2146593\
20529152*x^64+179554473570256*x^63+813247757577369*x^62-668798130966009*x^61\
-2733049711168677*x^60+2208701206814029*x^59+8167804589994548*x^58-648345188\
7535229*x^57-21746027401675346*x^56+16946928216601265*x^55+51640460108304578\
*x^54-39492631076811556*x^53-109449336201505271*x^52+82104534156640267*x^51+\
207061938160274571*x^50-152302206053053704*x^49-349531043586031355*x^48+2519\
88569676145715*x^47+526005160976138571*x^46-371559065438633386*x^45-70472159\
0858189997*x^44+487608622151670666*x^43+838976318262387434*x^42-568480670001\
387799*x^41-885383148608496979*x^40+587398145730445385*x^39+8257553977165646\
74*x^38-536342312762466023*x^37-678136421433803564*x^36+431207344161003556*x\
^35+488221750144796525*x^34-303943815521911209*x^33-306531924571987414*x^32+\
186866666670433206*x^31+166797962636140716*x^30-99597545361110272*x^29-78082\
392579066721*x^28+45686600854261031*x^27+31170204277667979*x^26-178809149316\
22442*x^25-10499519168250982*x^24+5909344285019799*x^23+2946507702908267*x^2\
2-1628492470672551*x^21-678252840260946*x^20+368534056101731*x^19+1256135679\
20586*x^18-67205271444110*x^17-18265788142408*x^16+9644552580564*x^15+202024\
0438754*x^14-1056874655454*x^13-162766631656*x^12+85034400402*x^11+896350599\
2*x^10-4765497540*x^9-302315208*x^8+172592372*x^7+4765384*x^6-3587872*x^5+82\
40*x^4+33872*x^3-832*x^2-64*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^90-x^89+3*x^88-4*x^87+9*x^86-14*x^85+28*x^84-47*x^83+89*x^82-155*x^81+286*\
x^80-507*x^79+924*x^78-1652*x^77+2993*x^76-5373*x^75+9707*x^74-17460*x^73+31\
501*x^72-56714*x^71+102256*x^70-184183*x^69+331981*x^68-598091*x^67+1077870*\
x^66-1942071*x^65+3499720*x^64-6305992*x^63+11363361*x^62-20475625*x^61+3689\
6355*x^60+18224528*x^59+35092557*x^58+38252854*x^57+50156788*x^56+61441477*x\
^55+77124953*x^54+95914789*x^53+119776594*x^52+149177937*x^51+186290040*x^50\
+231842428*x^49+289915589*x^48+360059307*x^47+451614299*x^46+558419904*x^45+\
704868001*x^44+863586106*x^43+1104569800*x^42+1327470413*x^41+1745255293*x^4\
0+2014255333*x^39+2803725666*x^38+2970040293*x^37+4651666372*x^36+4092139880\
*x^35+8181233157*x^34+4654712975*x^33+15799893219*x^32+1690765888*x^31+34563\
733525*x^30-15382308530*x^29+6845771321*x^28-3046654856*x^27+1355888968*x^26\
-603427359*x^25+268550439*x^24-119516189*x^23+53189708*x^22-23671647*x^21+10\
534874*x^20-4688460*x^19+2086561*x^18-928607*x^17+413269*x^16-183922*x^15+81\
853*x^14-36428*x^13+16212*x^12-7215*x^11+3211*x^10-1429*x^9+636*x^8-283*x^7+\
126*x^6-56*x^5+25*x^4-11*x^3+5*x^2-2*x+1
Common denominator of the automorphisms:
192062680233844025

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.