Group GAP4(84,9)

Name: C2 x C2 x (C7 : C3)
Maximal quotients:GAP4(12,5) GAP4(42,2)
Real polynomial:

x^84-924*x^82+403956*x^80-111237840*x^78+21670812576*x^76-3180469380480*x^74\
+365638887190080*x^72-33804586395234432*x^70+2560674974157861120*x^68-161108\
842839693235200*x^66+8505596533484163133440*x^64-379715583215058626672640*x^\
62+14418023753678796334669824*x^60-467656405632320483889709056*x^58+12998063\
362169058613700161536*x^56-310227141530921855681112440832*x^54+6366068265572\
579228109108314112*x^52-112372119746730046187502491860992*x^50+1705848353145\
877348354651653537792*x^48-22249884054682729578848181594882048*x^46+24897430\
9611459250033694778306330624*x^44-2384968454854435652014816106061496320*x^42\
+19503034861839776097989596857224921088*x^40-1356841572548039751159490085680\
08572928*x^38+799837268150058113206003892481341521920*x^36-39762841016361133\
30536374673321945464832*x^34+16581888093571861834006739347571258425344*x^32-\
57659836845725738229932307971402530553856*x^30+16608549289292763142613681170\
4129484226560*x^28-393450702937333119097024805066754609905664*x^26+760646319\
258162675258840243470293738192896*x^24-1190099487837022273950357699369775222\
751232*x^22+1493340948325392193993696620368463830974464*x^20-148785695472512\
9118592526544753549775994880*x^18+116365883551319746864062342444523266559180\
8*x^16-704761898760184746973490738646573071204352*x^14+324963991015323547233\
984722802105630326784*x^12-111570473286424025371947827665330715492352*x^10+2\
7665226325136312880205566272759012524032*x^8-4740345766183525046351102545560\
990646272*x^6+523896481590767067601276802518084485120*x^4-330261196650089558\
56290620196261986304*x^2+884628205312739889007784469542731776

Common denominator of the automorphisms:

2440629730042943650798951752176156038520194897033078154380843868503326096070\
5727693122418753351048826482484807236162764778836083483718521288368681201323\
426425192818746215552457679560322842624

Complex polynomial:

x^84-2132*x^77+1503800*x^70-403227968*x^63+67056854976*x^56+40713617152*x^49\
+1051788938752*x^42-3101341642752*x^35+22757989457920*x^28-19883615125504*x^\
21+4804096163840*x^14-6198132736*x^7+2097152

Common denominator of the automorphisms:

34223843815124494345287843751591923751434242467088128016384

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.