Group GAP4(128,1137)

Name: (C2 x C2 x ((C4 x C2) : C2)) : C2
Maximal quotients:GAP4(64,202) GAP4(64,205) GAP4(64,215) GAP4(64,227)
Real polynomial:
x^128-416*x^126+83192*x^124-10660952*x^122+984614412*x^120-69884825280*x^118\
+3969375027196*x^116-185503145159656*x^114+7278532641602382*x^112-2434690632\
65834264*x^110+7026460174620336768*x^108-176629498496977951160*x^106+3897531\
036236844068606*x^104-75978212413741241181880*x^102+131543987224615895734804\
4*x^100-20317635133900602001346272*x^98+281015525197203909082328465*x^96-349\
1611685380086707246112176*x^94+39077959357522258815544996932*x^92-3948564966\
49805484410702619896*x^90+3608968184454785183886014065968*x^88-2988555046774\
3576819683261797912*x^86+224517855704893340555547795342400*x^84-153186515262\
3222045374618832890312*x^82+9500376901991219175906904210779919*x^80-53591132\
402633230272076209296672136*x^78+275090440210829684542494051027508724*x^76-1\
285317474741076386303643956203441368*x^74+5466978998906340618699886764204975\
096*x^72-21167410955215358627365238789561884464*x^70+74591107862528590503670\
043797236033392*x^68-239142863074703608454405915187207974008*x^66+6972180922\
22161470392220072298509594782*x^64-1847348431230064359629618138847235468736*\
x^62+4444921127832532182583418494146354896540*x^60-9703255706268208864579895\
241472938259976*x^58+19197609023091740150516675405987665884096*x^56-34381362\
959891850756611415408881955539304*x^54+5565998902319052410737717443030242115\
1112*x^52-81325596776672499790401708610933187023640*x^50+1070559168947743500\
15625368460780157973225*x^48-126716938952685918880168745182208886046904*x^46\
+134566047875504685736839661078371941601156*x^44-127888179340423703172955533\
603078942362792*x^42+108467690196799290946739013218197246957384*x^40-8184059\
0437816993699684062208900312704096*x^38+547361624331239835916693408054231827\
74448*x^36-32317520980955127177327901758110642463832*x^34+167656452258798262\
85512867504209196472307*x^32-7600929796019722548938609594312679176064*x^30+2\
992525373920775969257229163279070924668*x^28-1015584160738999056338630368092\
441207088*x^26+294496379960958492763329187596023415732*x^24-7219930703584372\
0549963537412055470536*x^22+14772585686505092267697263626891309604*x^20-2482\
257849508053018949782215447120768*x^18+335546401118143433444948959175696399*\
x^16-35509730727733019161018600581218512*x^14+283325238951902608553814445212\
0524*x^12-161241356604583348729453205528480*x^10+598234419807204342876683782\
3026*x^8-122174666049853147267252696920*x^6+917993195684429471575990300*x^4-\
2432551894732367168457000*x^2+1702529518790626050625
Common denominator of the automorphisms:
5440018874488285751293256536840062129350576132631120072898139422467710336426\
6525369830315884210712929885323774922373336877020103540307428353484772992963\
3228807787731866816943465720339519409888324384772063432048500750487134481851\
9039609492170309733939801192624222731447803153916576082488629347849342185327\
7576810796449428556368910608636721121351874984743593974371673375301560934731\
7533423024605814317241315750963191764449867209569722694833313695299082246208\
9734307840000
Complex polynomial:
x^128+3552*x^124+2014356*x^120+503195520*x^116+131446108470*x^112+2130521708\
1696*x^108+1786217233606312*x^104+86487048254769696*x^100+312727025028498502\
5*x^96+93165269392918720800*x^92+1814327469872026271640*x^88+227596918235950\
95144480*x^84+217275955305349659665190*x^80+1707709954178409393182400*x^76+9\
771774575535257118043500*x^72+40417182822136072893297120*x^68+14031813892028\
0534502878340*x^64+371387768331587319135925920*x^60+670027185892825943751323\
500*x^56+910766087806014177742190400*x^52+1032606122678084953430431590*x^48+\
865635611063441921537040480*x^44+502933799190861284234793240*x^40+2470359331\
35590720935624800*x^36+90989032138612986216513025*x^32+203067836115769401076\
18656*x^28+2907231121494675166451112*x^24+350865584020785212207136*x^20+3100\
9694466618284366070*x^16+982224494605906081920*x^12+14059013578043716116*x^8\
+366760736637934752*x^4+1853020188851841
Common denominator of the automorphisms:
4060276893826714221778276467765255585988449835064994955994706943774040151094\
0025539890855454842513569555040995346036828488083721113952944100344369515999\
0763201244704519407468412904293730371584000000000

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.