Group GAP4(128,147)

Name: (C32 x C2) : C2
Maximal quotients:GAP4(64,38) GAP4(64,52) GAP4(64,53)
Real polynomial:
x^128-416*x^126+81008*x^124-9858176*x^122+844666184*x^120-54435649984*x^118+\
2752754036096*x^116-112505952991616*x^114+3798447809242420*x^112-10773931202\
5677696*x^110+2601836440956381920*x^108-54078613045017925248*x^106+976085405\
708808758752*x^104-15413682041883585204480*x^102+214297408821264335331136*x^\
100-2637234627463588142684672*x^98+28860127701443310677735330*x^96-281958058\
821712609348591360*x^94+2467703597152999171725022560*x^92-194048179540424583\
55953839488*x^90+137450944393302925494492063936*x^88-87896241435847825952228\
3539072*x^86+5084017542984190636095592049216*x^84-26642117024722814749388724\
099584*x^82+126665595547416789944912421520520*x^80-5469931011101377899820301\
68832256*x^78+2147594679593246285056134873912320*x^76-7671829981921090937647\
821428835072*x^74+24949966843247739025743085611842656*x^72-73898575104281235\
408979024589506816*x^70+199385141443169597170274524686435200*x^68-4900741825\
20997591303849039837115392*x^66+1097214209731812738301107545563979616*x^64-2\
236949006484774635793928924026850944*x^62+4151025564125720152406284256148094\
016*x^60-7006678627161232811448393500468418048*x^58+107490421341344321609315\
91215356914016*x^56-14972296186063024504974249724260378880*x^54+189121554874\
59778249688619112749053696*x^52-21632552555850057035493646961999188480*x^50+\
22370186011984876162380649270235425040*x^48-20873760697128692357105291360366\
669056*x^46+17537169261870326875699062815683933824*x^44-13233600694770431616\
156212932130805760*x^42+8944365387811063347500409744545826944*x^40-539776225\
3249336061166983187235616256*x^38+2898274976513096724302430346523384064*x^36\
-1379127803243272607698564445614392320*x^34+57898856436058011403487163549373\
1336*x^32-213379056320601564523192563945755136*x^30+686410441733432530125140\
17777105536*x^28-19150209912898296699967195162513920*x^26+459985909780552633\
1144306581381632*x^24-943328620777031757673685939969536*x^22+163582760304072\
138267630321869056*x^20-23718022170762524063005026031616*x^18+28372106983949\
00199194972690848*x^16-275524641853152965879353836032*x^14+21287942013807969\
063884598272*x^12-1274828564354282972937193472*x^10+570899842289996953073839\
36*x^8-1813671750620664562802688*x^6+37505754224327784279552*x^4-42820473697\
1918034944*x^2+1756147756708351504
Common denominator of the automorphisms:
5220448381738485338805834352879705162844490787582204335463444377418460150986\
3993902778146988233217672862892616968679127267785791786859931294540628486455\
8486728127244126983723471194338099396297522461460403680930093665749052208155\
1130856308995643173331348874487873738666181010882389468768958246799979479558\
9243368834276099211728548221044626830703241753716891195149163746970742381465\
7619881884003947991956425694806075098698497166545062016687939237045102421234\
6345972812935708599329805083367044657343742254197341137751652495391931539555\
6811580035718268493527670105213995896910295228200638877405504731555571491159\
6059126591705008270703764980633552057517520778113898621337508286916608018065\
983899367576944828544
Complex polynomial:
x^128+2272*x^120+4716224*x^112+674211296*x^104+25670346892*x^96-11725409248*\
x^88+1517050176*x^80-6066820320*x^72+6665847590*x^64+785984032*x^56-17032211\
2*x^48-3064544*x^40+2183308*x^32-51488*x^24+3264*x^16-32*x^8+1
Common denominator of the automorphisms:
662272960693791939145356014798418770752189771645832704

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.