Group GAP4(75,3)

Name: C15 x C5
Maximal quotients:GAP4(15,1) GAP4(25,2)
Real polynomial:
x^75-x^74-130*x^73+125*x^72+7924*x^71-7320*x^70-301337*x^69+267188*x^68+8025\
682*x^67-6823501*x^66-159320293*x^65+129744199*x^64+2449630045*x^63-19085893\
23*x^62-29929067360*x^61+22283541992*x^60+295816847459*x^59-210216536210*x^5\
8-2395913295399*x^57+1623093332803*x^56+16050541151815*x^55-10353349709769*x\
^54-89537690467791*x^53+54933285467871*x^52+417908568714778*x^51-24362017435\
8189*x^50-1637128867602215*x^49+906023530413345*x^48+5392605426430658*x^47-2\
831220668805318*x^46-14945702871364635*x^45+7440214271982728*x^44+3483994011\
2741510*x^43-16440085002685275*x^42-68220354287827812*x^41+30510593840654573\
*x^40+111963039330362292*x^39-47463243207929180*x^38-153547698508754999*x^37\
+61713377986857279*x^36+175288580004858276*x^35-66819350262714264*x^34-16580\
6727211381720*x^33+59972150696361594*x^32+129258429061143929*x^31-4438005615\
7531829*x^30-82541495098832883*x^29+26910795867127398*x^28+42880563495812401\
*x^27-13277153579946014*x^26-17983415424384814*x^25+5287515458347408*x^24+60\
35275786320330*x^23-1684225239111840*x^22-1604346860556436*x^21+424560556613\
611*x^20+333687936184858*x^19-83631244236832*x^18-53479789338872*x^17+126738\
12558273*x^16+6476635856811*x^15-1448427518854*x^14-577683213648*x^13+121578\
488726*x^12+36678638076*x^11-7227411282*x^10-1583973572*x^9+288885763*x^8+43\
804120*x^7-7192864*x^6-717340*x^5+99226*x^4+6248*x^3-612*x^2-24*x+1
Common denominator of the automorphisms:
4320703258819282107531217236857922898228553857386313612362383663240798031886\
4785240809408227267441703619688103216230296292718066089449854780053416640368\
6126709467337449408557560766938798783607332122549666505608176213667056250835\
4057656307342174556268175125976577294865127510424483085976420299762181277333\
723856419127032985368306771576597866218456

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.