Group GAP4(88,7)

Name: (C22 x C2) : C2
Maximal quotients:GAP4(8,3) GAP4(44,3)
Real polynomial:
x^88-302*x^86+43143*x^84-3883534*x^82+247552003*x^80-11906647140*x^78+449604\
115128*x^76-13692993001862*x^74+342918051725091*x^72-7163915112470584*x^70+1\
26222842809869479*x^68-1891635513823653774*x^66+24273023655784647604*x^64-26\
8065447182881345584*x^62+2558138543165744090888*x^60-21158684478875229267642\
*x^58+152016820619933793858523*x^56-950116173304606011076588*x^54+5170182607\
981476535752852*x^52-24500829190308732340157722*x^50+10107768260108903139348\
5252*x^48-362693989453794494977099448*x^46+1130320274192116124006072433*x^44\
-3053150629175440035482475968*x^42+7128771668805742513484139200*x^40-1433938\
0276811711967775731920*x^38+24744467333813324971029142208*x^36-3644492513548\
6980611254616896*x^34+45530943212544102082973212224*x^32-4788577519043378990\
5626425600*x^30+42009436620039772093030886400*x^28-3039920901758484411897705\
2672*x^26+17897970256624472772267308032*x^24-8431154952487481741264207872*x^\
22+3113198940511824477442564096*x^20-878905906695712293098029056*x^18+184106\
170037329632286326784*x^16-27600178061763817087041536*x^14+28302529895368011\
44635392*x^12-186606335761867403427840*x^10+7200677681416114274304*x^8-13931\
9228735872303104*x^6+1084880481550336000*x^4-1835990050144256*x^2+3503124643\
84
Common denominator of the automorphisms:
7973537227449567654755366775925646879532565193995134391756637264012196392982\
5514464681853017372014198068927213900507659824020217322944238236762303979008\
2498635805632470588153549099204604717828083685586141800363257037081927455944\
8703689482149967578253249630771352593521291914934107499051736663640330545206\
9102800144969895574166923257009312409367166981640214821091147776000
Complex polynomial:
x^88-55*x^84+10890*x^80-295383*x^76+15757764*x^72-64122245*x^68-10581257159*\
x^64+57052230598*x^60+3390265612833*x^56+19986461237963*x^52-13086360373020*\
x^48-174220210679735*x^44+1271544771318426*x^40+8463970962036249*x^36+217984\
14504122201*x^32+92809305123711264*x^28+411198099420784896*x^24+702475304670\
470144*x^20+439660003064020992*x^16+26311314227855360*x^12+1408494678835200*\
x^8+30726732906496*x^4+519691042816
Common denominator of the automorphisms:
3764657964539297424423977975173473402206363869856332867620686772610604642299\
134756760112049439264074620569949335228260548608

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.