Group GAP4(96,75)
Name: C4 x (C3 : Q8)
Maximal quotients:GAP4(32,26) GAP4(48,34) GAP4(48,35) GAP4(48,37)
Real polynomial:
x^96-336*x^94+47664*x^92-3875172*x^90+205457424*x^88-7642956240*x^86+2092922\
26452*x^84-4366090993392*x^82+71206209763488*x^80-926439029863164*x^78+97732\
09474523928*x^76-84709760235472440*x^74+609912897273751239*x^72-368147220693\
4833624*x^70+18773632394843181696*x^68-81412084570369705668*x^66+30189636949\
4615118096*x^64-961857985098675245040*x^62+2643605049213887919408*x^60-62892\
17494683576148368*x^58+12988462400350471783152*x^56-23340794039725438873656*\
x^54+36569018029068712799712*x^52-50028174666076317328440*x^50+5982929828776\
2012448761*x^48-62595267697617698029680*x^46+57314822451366180359448*x^44-45\
930250892002635722088*x^42+32201928955337151394512*x^40-19737470899963480667\
976*x^38+10563910885875236367312*x^36-4929329266665101226720*x^34+2001147845\
083719538176*x^32-704962977617258627796*x^30+214810374248684241264*x^28-5639\
6134808960528952*x^26+12696781967566851879*x^24-2437245709773272640*x^22+396\
131060531131992*x^20-54050533344134532*x^18+6125977630607328*x^16-5690558060\
09424*x^14+42584847254028*x^12-2509401153960*x^10+112848832584*x^8-370148000\
4*x^6+82511136*x^4-1102248*x^2+6561
Common denominator of the automorphisms:
1671913971560933509162174808268712280734766248084483379995910090463374689936\
3051631368763713698470628408134696250391629738765591593419387604933092083496\
359446121556173587810380636011364968089278856833903504811472663675
Complex polynomial:
x^96+336*x^94+47664*x^92+3875172*x^90+205457424*x^88+7642956240*x^86+2092922\
26452*x^84+4366090993392*x^82+71206209763488*x^80+926439029863164*x^78+97732\
09474523928*x^76+84709760235472440*x^74+609912897273751239*x^72+368147220693\
4833624*x^70+18773632394843181696*x^68+81412084570369705668*x^66+30189636949\
4615118096*x^64+961857985098675245040*x^62+2643605049213887919408*x^60+62892\
17494683576148368*x^58+12988462400350471783152*x^56+23340794039725438873656*\
x^54+36569018029068712799712*x^52+50028174666076317328440*x^50+5982929828776\
2012448761*x^48+62595267697617698029680*x^46+57314822451366180359448*x^44+45\
930250892002635722088*x^42+32201928955337151394512*x^40+19737470899963480667\
976*x^38+10563910885875236367312*x^36+4929329266665101226720*x^34+2001147845\
083719538176*x^32+704962977617258627796*x^30+214810374248684241264*x^28+5639\
6134808960528952*x^26+12696781967566851879*x^24+2437245709773272640*x^22+396\
131060531131992*x^20+54050533344134532*x^18+6125977630607328*x^16+5690558060\
09424*x^14+42584847254028*x^12+2509401153960*x^10+112848832584*x^8+370148000\
4*x^6+82511136*x^4+1102248*x^2+6561
Common denominator of the automorphisms:
1671913971560933509162174808268712280734766248084483379995910090463374689936\
3051631368763713698470628408134696250391629738765591593419387604933092083496\
359446121556173587810380636011364968089278856833903504811472663675
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.