Group GAP4(108,26)

Name: C2 x ((C9 : C3) : C2)
Maximal quotients:GAP4(36,12) GAP4(54,6)
Real polynomial:
x^108-432*x^106+89748*x^104-11946258*x^102+1145294154*x^100-84286377846*x^98\
+4955855907627*x^96-239254650343350*x^94+9672750431370063*x^92-3323735402278\
24242*x^90+9819077103708911991*x^88-251662726413936987372*x^86+5636783810271\
768538887*x^84-110987590753420738388604*x^82+1930402698281243413200990*x^80-\
29776735896753049947861246*x^78+408676869282407984252987724*x^76-50040123145\
54956801055569294*x^74+54781680990652251078526818597*x^72-537137499662649650\
694118251150*x^70+4723423350953879807082876775176*x^68-372896821661396793938\
97341297994*x^66+264474709554845976993109729218717*x^64-16858556443128444867\
46756220996934*x^62+9659513906111108691750768380000802*x^60-4974299460983764\
5068994140989758978*x^58+230134088911952111335536726878156775*x^56-955918037\
594695202304119158402918962*x^54+3561682925835271159257266873923678155*x^52-\
11889705014249616849526578750415420782*x^50+35508362766326687125787014860491\
061027*x^48-94703144660028927779547848071903827084*x^46+22509187697314574678\
5657119747216211932*x^44-475606225277777374698138948462694085424*x^42+890807\
271990582777465004388140820525712*x^40-1474105224737817216658150996546502008\
884*x^38+2146932125801089147936236902247878932431*x^36-273988695916154553858\
4492477530391149756*x^34+3048257027859519869710388229920032733346*x^32-29390\
24335562099277517968854142772012302*x^30+24389163194668767981388171508439497\
83605*x^28-1727980937436917053685737572596196305526*x^26+1035436317406475381\
956108868201399025657*x^24-518907732484763080507778661180295151424*x^22+2146\
03265212523761204234911986046912528*x^20-72070852152640666352623269001092365\
760*x^18+19270683446813733907492187984026729056*x^16-40030541013557648266315\
44655632438528*x^14+626111320085644433999217424028396928*x^12-70749666964317\
935590730063528467968*x^10+5453244632075612797871394818874624*x^8-2631060343\
47520752284064810995712*x^6+6883931167950312311093887076352*x^4-724640284734\
35214444995174400*x^2+85386192507850331055919104
Common denominator of the automorphisms:
5793727264416739544189418430376512069735507371727285197664166760683986803201\
2743907493296184112332491535799008475205285971678277559113098331891544732733\
3738393333189982593208866208304660207375293841761077915148321943078797753797\
4495740661414565606210737244505261284261888
Complex polynomial:
x^108-63*x^102+2070*x^96-25545*x^90+302814*x^84-269316*x^78+38846373*x^72+23\
7755241*x^66+1065163302*x^60+1977875030*x^54+1953953217*x^48-2227293810*x^42\
+4669727280*x^36-375724377*x^30+8028567*x^24+1768290*x^18+49239*x^12+342*x^6\
+1
Common denominator of the automorphisms:
129199775941030842485749229741488284466176

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.