Group GAP4(128,125)
Name: (C4 x C4 x C2) : C4
Maximal quotients:GAP4(64,23) GAP4(64,34) GAP4(64,35)
Real polynomial:
x^128-2016*x^126+1706264*x^124-805131824*x^122+238476165056*x^120-4747929451\
3392*x^118+6654973712564688*x^116-679838015018567440*x^114+52027773642271648\
548*x^112-3050602213346998665264*x^110+139601297252245628588600*x^108-506304\
0909815446166591360*x^106+147408463144556020596431168*x^104-3482708366633731\
267551222144*x^102+67388208065050605598597203976*x^100-107630833895225958820\
5342410896*x^98+14286218638450612656963881904042*x^96-1585167793671972155028\
83074017008*x^94+1477849771549607972004060620861120*x^92-1162842732496441126\
8268161642265712*x^90+77525121432990375071230034825248384*x^88-4394159306060\
66701995907297841005872*x^86+2123787838453082380561898332549241928*x^84-8775\
384339900558570775705393191578240*x^82+3106716338743242964652393928092847598\
4*x^80-94413650846463040275285384943934341376*x^78+2466901397525203925164264\
11344675995112*x^76-554905271577019818985072268750996591088*x^74+10757048336\
23045565304747737989121046528*x^72-1798591870778032873878064742369006844208*\
x^70+2595405744557695676163683050905935361792*x^68-3233675383334601660204546\
515717329766960*x^66+3479484156693411792697917267574500915379*x^64-323367538\
3334601660204546515717329766960*x^62+259540574455769567616368305090593536179\
2*x^60-1798591870778032873878064742369006844208*x^58+10757048336230455653047\
47737989121046528*x^56-554905271577019818985072268750996591088*x^54+24669013\
9752520392516426411344675995112*x^52-94413650846463040275285384943934341376*\
x^50+31067163387432429646523939280928475984*x^48-877538433990055857077570539\
3191578240*x^46+2123787838453082380561898332549241928*x^44-43941593060606670\
1995907297841005872*x^42+77525121432990375071230034825248384*x^40-1162842732\
4964411268268161642265712*x^38+1477849771549607972004060620861120*x^36-15851\
6779367197215502883074017008*x^34+14286218638450612656963881904042*x^32-1076\
308338952259588205342410896*x^30+67388208065050605598597203976*x^28-34827083\
66633731267551222144*x^26+147408463144556020596431168*x^24-50630409098154461\
66591360*x^22+139601297252245628588600*x^20-3050602213346998665264*x^18+5202\
7773642271648548*x^16-679838015018567440*x^14+6654973712564688*x^12-47479294\
513392*x^10+238476165056*x^8-805131824*x^6+1706264*x^4-2016*x^2+1
Common denominator of the automorphisms:
2895228538803374557187684304903014527718092450135666561477051271712172590901\
0049718709279702901517148671447736715290531655717443882989004413538439702580\
9875478647467202635447833211284651931217262220580273520814954078911560346639\
4640215880742526689506469778764020409710344122923380724533511735805272270949\
10807663728434131125874076058715814431108229098266165353654244941160775680
Complex polynomial:
x^128+2016*x^126+1706264*x^124+805131824*x^122+238476165056*x^120+4747929451\
3392*x^118+6654973712564688*x^116+679838015018567440*x^114+52027773642271648\
548*x^112+3050602213346998665264*x^110+139601297252245628588600*x^108+506304\
0909815446166591360*x^106+147408463144556020596431168*x^104+3482708366633731\
267551222144*x^102+67388208065050605598597203976*x^100+107630833895225958820\
5342410896*x^98+14286218638450612656963881904042*x^96+1585167793671972155028\
83074017008*x^94+1477849771549607972004060620861120*x^92+1162842732496441126\
8268161642265712*x^90+77525121432990375071230034825248384*x^88+4394159306060\
66701995907297841005872*x^86+2123787838453082380561898332549241928*x^84+8775\
384339900558570775705393191578240*x^82+3106716338743242964652393928092847598\
4*x^80+94413650846463040275285384943934341376*x^78+2466901397525203925164264\
11344675995112*x^76+554905271577019818985072268750996591088*x^74+10757048336\
23045565304747737989121046528*x^72+1798591870778032873878064742369006844208*\
x^70+2595405744557695676163683050905935361792*x^68+3233675383334601660204546\
515717329766960*x^66+3479484156693411792697917267574500915379*x^64+323367538\
3334601660204546515717329766960*x^62+259540574455769567616368305090593536179\
2*x^60+1798591870778032873878064742369006844208*x^58+10757048336230455653047\
47737989121046528*x^56+554905271577019818985072268750996591088*x^54+24669013\
9752520392516426411344675995112*x^52+94413650846463040275285384943934341376*\
x^50+31067163387432429646523939280928475984*x^48+877538433990055857077570539\
3191578240*x^46+2123787838453082380561898332549241928*x^44+43941593060606670\
1995907297841005872*x^42+77525121432990375071230034825248384*x^40+1162842732\
4964411268268161642265712*x^38+1477849771549607972004060620861120*x^36+15851\
6779367197215502883074017008*x^34+14286218638450612656963881904042*x^32+1076\
308338952259588205342410896*x^30+67388208065050605598597203976*x^28+34827083\
66633731267551222144*x^26+147408463144556020596431168*x^24+50630409098154461\
66591360*x^22+139601297252245628588600*x^20+3050602213346998665264*x^18+5202\
7773642271648548*x^16+679838015018567440*x^14+6654973712564688*x^12+47479294\
513392*x^10+238476165056*x^8+805131824*x^6+1706264*x^4+2016*x^2+1
Common denominator of the automorphisms:
2895228538803374557187684304903014527718092450135666561477051271712172590901\
0049718709279702901517148671447736715290531655717443882989004413538439702580\
9875478647467202635447833211284651931217262220580273520814954078911560346639\
4640215880742526689506469778764020409710344122923380724533511735805272270949\
10807663728434131125874076058715814431108229098266165353654244941160775680
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.