Group GAP4(100,9)

Name: C5 x (C5 : C4)
Maximal quotients:GAP4(20,2) GAP4(20,3)
Real polynomial:

x^100-540*x^98+128550*x^96-18122400*x^94+1717118625*x^92-117595241540*x^90+6\
104313977250*x^88-248359536534000*x^86+8118080224190700*x^84-217243067043930\
000*x^82+4830247379047893800*x^80-90289340255866915500*x^78+1432461109666618\
438875*x^76-19439597274617420745000*x^74+227105314032919772583750*x^72-22961\
02642490324161064000*x^70+20177184134305127727549375*x^68-154657222757753268\
459645000*x^66+1036942808821513496699801250*x^64-609512426420421237136091250\
0*x^62+31461617820763410550232200625*x^60-142776357401042203639750650000*x^5\
8+570041913788138688340993950000*x^56-2002780536498327961955266800000*x^54+6\
190786185292520260909379250000*x^52-16825453475794267432290609600000*x^50+40\
163684013968886389518608000000*x^48-84081006519784492205496816000000*x^46+15\
4072361535331456087197024000000*x^44-246541155900071312137929600000000*x^42+\
343537701421575764352107008000000*x^40-415494283470808873845747840000000*x^3\
8+434555117585357218048509120000000*x^36-391371890768286914791104000000000*x\
^34+302106287473598883332505600000000*x^32-198833457044447513722777600000000\
*x^30+110935403026200785284377600000000*x^28-5213444557756169736867840000000\
0*x^26+20491195678343640690278400000000*x^24-6682527161130673139712000000000\
*x^22+1791932519504679159808000000000*x^20-390998685917989355520000000000*x^\
18+68569894798815412224000000000*x^16-9520245830979551232000000000*x^14+1026\
675162014023680000000000*x^12-83852956773908480000000000*x^10+50065298109235\
20000000000*x^8-207157135933440000000000*x^6+5431413964800000000000*x^4-7549\
7472000000000000*x^2+335544320000000000

Common denominator of the automorphisms:

2296480728448095029371428506740420846950344523514602450430095402550972336679\
0011301701028242899375507365803611563614724278128962472251235443847941543736\
3515780921195980048568677047590221212673539197199010739382080190962870056304\
1933489413330162128745031298679859129438759492267575383745468112145153112084\
5410407789215650963900169567113508122352414419230142456125641372408271174730\
5579837798929439389558950690173800441880359989149696000000000

Complex polynomial:

x^100+21850*x^90+87461225*x^80+43066481500*x^70+5541989885600*x^60+176325994\
181250*x^50+1026882072627250*x^40+1656442731846875*x^30+51463301856250*x^20+\
4477421875*x^10+3125

Common denominator of the automorphisms:

4459614508776048928866553467276981202440535322639107223750

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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