Group GAP4(128,601)

Name: (C8 x C2 x C2 x C2) : C2
Maximal quotients:GAP4(64,67) GAP4(64,87) GAP4(64,89) GAP4(64,115) GAP4(64,116)
Real polynomial:
x^128-288*x^126+39840*x^124-3528416*x^122+225001008*x^120-11015804960*x^118+\
431174084896*x^116-13872996882016*x^114+374419385256800*x^112-86075921946625\
28*x^110+170589042761656960*x^108-2942636612806502912*x^106+4452830190862346\
2240*x^104-594919054538860706496*x^102+7055834955005710564032*x^100-74625116\
079905697120960*x^98+706551965018520964069520*x^96-6008317072744881765422464\
*x^94+46018110191367344014103424*x^92-318207744875448191621936256*x^90+19905\
96267992304337571640384*x^88-11284843319543840904501204864*x^86+580600955503\
02898916224537472*x^84-271426849868624344069694706304*x^82+11541089516905506\
39590987747456*x^80-4466805877770612134268295303680*x^78+1574557949186703721\
8501994101248*x^76-50571911759617886026680730308608*x^74+1480313973116288805\
87090836452480*x^72-394935578342289563384327605894400*x^70+96026787681244860\
2795036877577472*x^68-2127407364690100301185169621142784*x^66+42927174582330\
98134845541562827872*x^64-7884986144020385618689795139261952*x^62+1317501445\
9283923140504011018391040*x^60-20008112144465866848534809691830784*x^58+2758\
7665286504844372681539947727104*x^56-34494367209099152083757265065219584*x^5\
4+39056455748444332774249212020311552*x^52-399802886061298006269945268441256\
96*x^50+36932323128230568845153659408531968*x^48-307232080890865732006711656\
24154112*x^46+22961382100049246732921698674038784*x^44-153758640769425522937\
03223596883968*x^42+9197674992260074738715859540828672*x^40-4898093949695321\
879376501364630528*x^38+2313126511155462236335770474718208*x^36-964433952086\
779970307019803534336*x^34+353220170519822010856069349443840*x^32-1129752598\
52732054586883879749632*x^30+31343318430686314931285028038656*x^28-748323170\
4534822830334634448896*x^26+1523176031011976162078218546176*x^24-26137851726\
0199415052166424576*x^22+37305402323783935982345005056*x^20-4355592015291176\
172884621312*x^18+407494235522456799430629376*x^16-2976069024929225234309939\
2*x^14+1640668018548402284158976*x^12-65341091353199897608192*x^10+177296435\
1335925815296*x^8-30211353977235140608*x^6+284981076325658624*x^4-1142718812\
418048*x^2+499204423936
Common denominator of the automorphisms:
1791864383222534845677783797708500111714089623355785664107816150564342348352\
4547307086411412609255973527368947109854131990222824311372896859928534472291\
5189789685277105141111583356950371724960081161227707803453231048096115507162\
9902958642906433043679990094043086957563412505573979844816845710403852742254\
21302515866193464884455454873273744329128466710528
Complex polynomial:
x^128+288*x^126+39840*x^124+3528416*x^122+225001008*x^120+11015804960*x^118+\
431174084896*x^116+13872996882016*x^114+374419385256800*x^112+86075921946625\
28*x^110+170589042761656960*x^108+2942636612806502912*x^106+4452830190862346\
2240*x^104+594919054538860706496*x^102+7055834955005710564032*x^100+74625116\
079905697120960*x^98+706551965018520964069520*x^96+6008317072744881765422464\
*x^94+46018110191367344014103424*x^92+318207744875448191621936256*x^90+19905\
96267992304337571640384*x^88+11284843319543840904501204864*x^86+580600955503\
02898916224537472*x^84+271426849868624344069694706304*x^82+11541089516905506\
39590987747456*x^80+4466805877770612134268295303680*x^78+1574557949186703721\
8501994101248*x^76+50571911759617886026680730308608*x^74+1480313973116288805\
87090836452480*x^72+394935578342289563384327605894400*x^70+96026787681244860\
2795036877577472*x^68+2127407364690100301185169621142784*x^66+42927174582330\
98134845541562827872*x^64+7884986144020385618689795139261952*x^62+1317501445\
9283923140504011018391040*x^60+20008112144465866848534809691830784*x^58+2758\
7665286504844372681539947727104*x^56+34494367209099152083757265065219584*x^5\
4+39056455748444332774249212020311552*x^52+399802886061298006269945268441256\
96*x^50+36932323128230568845153659408531968*x^48+307232080890865732006711656\
24154112*x^46+22961382100049246732921698674038784*x^44+153758640769425522937\
03223596883968*x^42+9197674992260074738715859540828672*x^40+4898093949695321\
879376501364630528*x^38+2313126511155462236335770474718208*x^36+964433952086\
779970307019803534336*x^34+353220170519822010856069349443840*x^32+1129752598\
52732054586883879749632*x^30+31343318430686314931285028038656*x^28+748323170\
4534822830334634448896*x^26+1523176031011976162078218546176*x^24+26137851726\
0199415052166424576*x^22+37305402323783935982345005056*x^20+4355592015291176\
172884621312*x^18+407494235522456799430629376*x^16+2976069024929225234309939\
2*x^14+1640668018548402284158976*x^12+65341091353199897608192*x^10+177296435\
1335925815296*x^8+30211353977235140608*x^6+284981076325658624*x^4+1142718812\
418048*x^2+499204423936
Common denominator of the automorphisms:
1791864383222534845677783797708500111714089623355785664107816150564342348352\
4547307086411412609255973527368947109854131990222824311372896859928534472291\
5189789685277105141111583356950371724960081161227707803453231048096115507162\
9902958642906433043679990094043086957563412505573979844816845710403852742254\
21302515866193464884455454873273744329128466710528

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.