Group GAP4(72,8)

Name: (C18 x C2) : C2
Maximal quotients:GAP4(24,8) GAP4(36,4)
Real polynomial:
x^72-1896*x^70+1695024*x^68-951328112*x^66+376533385020*x^64-111928522597776\
*x^62+25986722800041704*x^60-4838490184219888464*x^58+736145599485216894966*\
x^56-92788068378365228266592*x^54+9789680164545456854834232*x^52-87129617056\
5176113301689968*x^50+65798498358483726728482639564*x^48-4234297464869944717\
503738739440*x^46+232900255896448873288156506855000*x^44-1097016131626527827\
1379668325702256*x^42+442910134970011687892862677882485521*x^40-153280568440\
52938818473771758903347384*x^38+454312626473256837892889478998547247064*x^36\
-11512333009210633000838895309031226454624*x^34+2487482019642403602334180372\
11889734404208*x^32-4566311289501651523068508390714999164852992*x^30+7088098\
8960346507832244580377830949960755712*x^28-924842851380064700246915344806148\
029023235072*x^26+10068725249653917107678892541169029735607373568*x^24-90637\
260832893523001085983765055745717519865856*x^22+6671552994947222013326913598\
76015362942492882944*x^20-3960784435831827208583083233988186263003994775552*\
x^18+18645678062842451028554986728250053372220977156096*x^16-681228694935932\
33369283378549951231405415747289088*x^14+18786870481365600248167644397462903\
4233798979813376*x^12-376737691091735175097104583037204371599133664870400*x^\
10+521097747859220014068023925727986665649295218180096*x^8-45919943366813311\
6905323954574800966368869637685248*x^6+2267184898863478526501601618945766282\
11047869710336*x^4-50256816599532318005123011147245296416992182403072*x^2+34\
58019833352666196029211255256753576379305426944
Common denominator of the automorphisms:
2113933908121791866232874256012177761995904639947539552209053122891056595484\
3276204019075080207043714379585782477274383284698617632120605430780317305231\
221393930610135793664
Complex polynomial:
x^72-2683116*x^60+3700433948886*x^48-1141208538252*x^36+939755914929*x^24+10\
853720064*x^12+150994944
Common denominator of the automorphisms:
2415420627391398535372257361920000

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.