Group GAP4(88,2)

Name: C88
Maximal quotients:GAP4(8,1) GAP4(44,2)
Real polynomial:
x^88-x^87-88*x^86+88*x^85+3739*x^84-3739*x^83-102171*x^82+102171*x^81+201789\
8*x^80-2017898*x^79-30691738*x^78+30691738*x^77+374040746*x^76-374040746*x^7\
5-3752256286*x^74+3752256286*x^73+31588713664*x^72-31588713664*x^71-22640036\
6971*x^70+226400366971*x^69+1396644861834*x^68-1396644861834*x^67-7479029046\
736*x^66+7479029046736*x^65+34997410372849*x^64-34997410372849*x^63-14385075\
5604351*x^62+143850755604351*x^61+521464421830833*x^60-521464421830833*x^59-\
1672277514577071*x^58+1672277514577071*x^57+4754935590207045*x^56-4754935590\
207045*x^55-12006227996778983*x^54+12006227996778983*x^53+26945771888470237*\
x^52-26945771888470237*x^51-53769800806076267*x^50+53769800806076267*x^49+95\
378540042542273*x^48-95378540042542273*x^47-150277550766947087*x^46+15027755\
0766947087*x^45+210040270352534593*x^44-210040270352534593*x^43-259939496325\
050207*x^42+259939496325050207*x^41+284152464328615273*x^40-2841524643286152\
73*x^39-273541795341391844*x^38+273541795341391844*x^37+231038725312424119*x\
^36-231038725312424119*x^35-170455452412117615*x^34+170455452412117615*x^33+\
109274097641866380*x^32-109274097641866380*x^31-60492801701241148*x^30+60492\
801701241148*x^29+28706755580730604*x^28-28706755580730604*x^27-115769154498\
37284*x^26+11576915449837284*x^25+3926997413901015*x^24-3926997413901015*x^2\
3-1106740528871160*x^22+1106740528871160*x^21+255329737996605*x^20-255329737\
996605*x^19-47352543529565*x^18+47352543529565*x^17+6901827687390*x^16-69018\
27687390*x^15-768228950350*x^14+768228950350*x^13+62891737950*x^12-628917379\
50*x^11-3597917114*x^10+3597917114*x^9+133645160*x^8-133645160*x^7-2875411*x\
^6+2875411*x^5+29282*x^4-29282*x^3-88*x^2+88*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^88+x^87+x^86+x^85+x^84+x^83+x^82+x^81+x^80+x^79+x^78+x^77+x^76+x^75+x^74+x\
^73+x^72+x^71+x^70+x^69+x^68+x^67+x^66+x^65+x^64+x^63+x^62+x^61+x^60+x^59+x^\
58+x^57+x^56+x^55+x^54+x^53+x^52+x^51+x^50+x^49+x^48+x^47+x^46+x^45+x^44+x^4\
3+x^42+x^41+x^40+x^39+x^38+x^37+x^36+x^35+x^34+x^33+x^32+x^31+x^30+x^29+x^28\
+x^27+x^26+x^25+x^24+x^23+x^22+x^21+x^20+x^19+x^18+x^17+x^16+x^15+x^14+x^13+\
x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1
Common denominator of the automorphisms:
1

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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