Group GAP4(96,9)

Name: C4 x (C3 : C8)
Maximal quotients:GAP4(32,3) GAP4(48,9) GAP4(48,11)
Real polynomial:
x^96-336*x^94+53784*x^92-5464352*x^90+396079020*x^88-21828213648*x^86+951821\
566352*x^84-33742564797648*x^82+991652673282906*x^80-24514651880548320*x^78+\
515493555540680616*x^76-9301046804145296400*x^74+144987750797212251960*x^72-\
1963278488982160765872*x^70+23192623829973136559400*x^68-2398265828327328386\
58400*x^66+2176443844194581616201531*x^64-17367327292622422014027744*x^62+12\
2020232840119494691501720*x^60-755429666785333453264344720*x^58+412250633977\
5262655257116624*x^56-19828125166606894070441826992*x^54+8400768496867555683\
7211826408*x^52-313227525937313126249105279328*x^50+102639984776655678643633\
1263210*x^48-2950715848546593579584503736592*x^46+74259961690846413683508665\
92512*x^44-16318492178497781751928322852208*x^42+312173533029169431030558688\
20444*x^40-51807891897550217498550914522400*x^38+742947164865390889027819153\
66200*x^36-91648646281142099625232259011728*x^34+967573372520042923565322207\
12897*x^32-86920223440830097816172125168640*x^30+660065724751414444165995793\
91760*x^28-42056643338804030963857986971136*x^26+222912704488637714285570403\
84840*x^24-9731193324271281595520503238400*x^22+3458197566894804560177060452\
512*x^20-986521320885966039363155552640*x^18+222063760793969114217211119672*\
x^16-38593284113734500385006864128*x^14+5031564299444693718317401792*x^12-47\
2604766219981214767700224*x^10+30065030116266700167358560*x^8-11627177807291\
62553988608*x^6+21461794185794131413504*x^4-58947919609708237056*x^2+8438794\
92556816
Common denominator of the automorphisms:
1841700739057484243348444217630768110867389103831079269402717795693811963224\
2513963628564148995125670443165858766049637506228977217603190148714703311978\
4641441195589785905851466425611235193979036170785192425325928787739042155094\
609810310901650780289131122345186486071052896170180608
Complex polynomial:
x^96+336*x^94+53784*x^92+5464352*x^90+396079020*x^88+21828213648*x^86+951821\
566352*x^84+33742564797648*x^82+991652673282906*x^80+24514651880548320*x^78+\
515493555540680616*x^76+9301046804145296400*x^74+144987750797212251960*x^72+\
1963278488982160765872*x^70+23192623829973136559400*x^68+2398265828327328386\
58400*x^66+2176443844194581616201531*x^64+17367327292622422014027744*x^62+12\
2020232840119494691501720*x^60+755429666785333453264344720*x^58+412250633977\
5262655257116624*x^56+19828125166606894070441826992*x^54+8400768496867555683\
7211826408*x^52+313227525937313126249105279328*x^50+102639984776655678643633\
1263210*x^48+2950715848546593579584503736592*x^46+74259961690846413683508665\
92512*x^44+16318492178497781751928322852208*x^42+312173533029169431030558688\
20444*x^40+51807891897550217498550914522400*x^38+742947164865390889027819153\
66200*x^36+91648646281142099625232259011728*x^34+967573372520042923565322207\
12897*x^32+86920223440830097816172125168640*x^30+660065724751414444165995793\
91760*x^28+42056643338804030963857986971136*x^26+222912704488637714285570403\
84840*x^24+9731193324271281595520503238400*x^22+3458197566894804560177060452\
512*x^20+986521320885966039363155552640*x^18+222063760793969114217211119672*\
x^16+38593284113734500385006864128*x^14+5031564299444693718317401792*x^12+47\
2604766219981214767700224*x^10+30065030116266700167358560*x^8+11627177807291\
62553988608*x^6+21461794185794131413504*x^4+58947919609708237056*x^2+8438794\
92556816
Common denominator of the automorphisms:
1841700739057484243348444217630768110867389103831079269402717795693811963224\
2513963628564148995125670443165858766049637506228977217603190148714703311978\
4641441195589785905851466425611235193979036170785192425325928787739042155094\
609810310901650780289131122345186486071052896170180608

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.