Group GAP4(44,1)

Name: C11 : C4
Maximal quotients:GAP4(4,1) GAP4(22,1)
Real polynomial:
x^44-3891*x^42+6034941*x^40-4964198759*x^38+2489879596125*x^36-8274309770343\
74*x^34+192214944555521374*x^32-32369594410783208958*x^30+405349220728834972\
6986*x^28-384284686580440417349747*x^26+27923053627137515360623504*x^24-1567\
239207841164231886129710*x^22+68203848424349311604503489818*x^20-23012826477\
87196365735135527227*x^18+59964176806397858295908196444828*x^16-119643982791\
9727949702015694772157*x^14+18021645160878090243871411172644923*x^12-2003949\
76707886890273496340416769604*x^10+1587713959431974223449622786596251435*x^8\
-8445359094799568380468598821236389521*x^6+269377250227156269653510829721490\
74467*x^4-38822526183207507231277211415138034766*x^2+17471883970840462300304\
775614373553
Common denominator of the automorphisms:
1268204172899087770719090823199669208891684423744684253955253935516405585293\
1908625
Complex polynomial:
x^44+3891*x^42+6034941*x^40+4964198759*x^38+2489879596125*x^36+8274309770343\
74*x^34+192214944555521374*x^32+32369594410783208958*x^30+405349220728834972\
6986*x^28+384284686580440417349747*x^26+27923053627137515360623504*x^24+1567\
239207841164231886129710*x^22+68203848424349311604503489818*x^20+23012826477\
87196365735135527227*x^18+59964176806397858295908196444828*x^16+119643982791\
9727949702015694772157*x^14+18021645160878090243871411172644923*x^12+2003949\
76707886890273496340416769604*x^10+1587713959431974223449622786596251435*x^8\
+8445359094799568380468598821236389521*x^6+269377250227156269653510829721490\
74467*x^4+38822526183207507231277211415138034766*x^2+17471883970840462300304\
775614373553
Common denominator of the automorphisms:
1268204172899087770719090823199669208891684423744684253955253935516405585293\
1908625

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.