Group GAP4(96,83)
Name: (C12 x C4) : C2
Maximal quotients:GAP4(32,33) GAP4(48,37)
Real polynomial:
x^96-528*x^94+132084*x^92-20872256*x^90+2343435342*x^88-199330435824*x^86+13\
373501173064*x^84-727499665445952*x^82+32731930079479221*x^80-12363253133155\
28688*x^78+39654834818017150128*x^76-1089846279682947768288*x^74+25848579361\
663356331946*x^72-532086980326345261231968*x^70+9549450686592443855171820*x^\
68-149966339713504506486507520*x^66+2066617630893435825895425402*x^64-250449\
29566714241507599929552*x^62+267339762234842668400146347100*x^60-25162760783\
37919742200173620352*x^58+20896231281425785667414742901350*x^56-153132987987\
667499295946265765520*x^54+990055586914124975155194447767232*x^52-5643761170\
620572888980304989972416*x^50+28337151021660569604120613260297997*x^48-12514\
5071519527518422340550588811088*x^46+485242923893691570754408854540114720*x^\
44-1648266478568349664819888923477530016*x^42+489164800793115529334848659977\
0222790*x^40-12643258544036137170262584891983594976*x^38+2835327917081637801\
7563251390639841748*x^36-54923193358026285821492468790759679872*x^34+9141671\
5024289259663845459753436507642*x^32-129920398100693198688458124651660867440\
*x^30+156462916309634144986417817898932265060*x^28-1581964257153743696855148\
34636424179968*x^26+132749351864695402152385947560931246602*x^24-91118079987\
430705879751497063065265008*x^22+50208532255677650516610372514537630896*x^20\
-21668435083998334680478663114718621376*x^18+7083907894847386149149876669231\
384373*x^16-1675476720478437170118628004912214672*x^14+269045798458654479095\
807214652553528*x^12-27047265426442417990137425476288608*x^10+15882550009061\
61047869248148612014*x^8-50918969283238193685836573425216*x^6+80777627407770\
0448594364395740*x^4-5266183804561658538247581696*x^2+8754134824594712565930\
241
Common denominator of the automorphisms:
4540076027519727678433300180590146357715002385331468924884662777212460902522\
3692240779635689238185728826153411426015041443806036303513396969639187350660\
5861797446234728753372577410174639580484832868685025588842526503024842145080\
5233393390347498426513437848842731442710558714728884001979025071586014381080\
1498067346489573953534584406886498526276257832589335937870051328810956908618\
24076020711424
Complex polynomial:
x^96+102648*x^84+108002268*x^72+247415688*x^60-408198042*x^48+2226741192*x^3\
6+8748183708*x^24+74830392*x^12+6561
Common denominator of the automorphisms:
196494205166217678071808
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.