Group GAP4(96,191)
Name: (C2 . S4 = SL(2,3) . C2) : C2
Maximal quotient:GAP4(48,48)
Real polynomial:
x^96-288*x^94+38160*x^92-3103344*x^90+174351132*x^88-7220529648*x^86+2296483\
27776*x^84-5769559077696*x^82+116869264168986*x^80-1938478161137040*x^78+266\
47658319394440*x^76-306520346749500144*x^74+2973237095064149784*x^72-2447517\
9957637956768*x^70+171878659046391964536*x^68-1034192177717148908928*x^66+53\
50874030224968631563*x^64-23877059986847160299232*x^62+921134547374413454959\
68*x^60-307820838802553048034432*x^58+892414402114783519022364*x^56-22470840\
29865014305711200*x^54+4917986574646531760360568*x^52-9359421997991028672081\
600*x^50+15489347102148089629956114*x^48-22285277786855992728272832*x^46+278\
56566687668514054483600*x^44-30221916257311624036354032*x^42+284174035859676\
73354818480*x^40-23115384303222084983390736*x^38+16226873764627478700837096*\
x^36-9801414083225888397535104*x^34+5075266446240587604743193*x^32-224270262\
4211224640219376*x^30+841010410974231357931080*x^28-265802274712023576292080\
*x^26+70200467816883306249924*x^24-15329084239943555609088*x^22+273041857537\
4956190832*x^20-389887365681605130048*x^18+43623331390874469132*x^16-3707650\
433103557760*x^14+229124898503014176*x^12-9649237730828544*x^10+250479971680\
752*x^8-3460391072640*x^6+24506437248*x^4-83140992*x^2+104976
Common denominator of the automorphisms:
2497017099507138428993819073584210390690953007784230472047110328740416012005\
2634224933793211670158675554894146684032092442220827706257440510995498252290\
7830446335989990498379201781680756285951097429908921585219294886899666058520\
0332858167767611887992601916891108669080484297276578688995827838912359174476\
116677824324344992
Complex polynomial:
x^96+288*x^94+38160*x^92+3103344*x^90+174351132*x^88+7220529648*x^86+2296483\
27776*x^84+5769559077696*x^82+116869264168986*x^80+1938478161137040*x^78+266\
47658319394440*x^76+306520346749500144*x^74+2973237095064149784*x^72+2447517\
9957637956768*x^70+171878659046391964536*x^68+1034192177717148908928*x^66+53\
50874030224968631563*x^64+23877059986847160299232*x^62+921134547374413454959\
68*x^60+307820838802553048034432*x^58+892414402114783519022364*x^56+22470840\
29865014305711200*x^54+4917986574646531760360568*x^52+9359421997991028672081\
600*x^50+15489347102148089629956114*x^48+22285277786855992728272832*x^46+278\
56566687668514054483600*x^44+30221916257311624036354032*x^42+284174035859676\
73354818480*x^40+23115384303222084983390736*x^38+16226873764627478700837096*\
x^36+9801414083225888397535104*x^34+5075266446240587604743193*x^32+224270262\
4211224640219376*x^30+841010410974231357931080*x^28+265802274712023576292080\
*x^26+70200467816883306249924*x^24+15329084239943555609088*x^22+273041857537\
4956190832*x^20+389887365681605130048*x^18+43623331390874469132*x^16+3707650\
433103557760*x^14+229124898503014176*x^12+9649237730828544*x^10+250479971680\
752*x^8+3460391072640*x^6+24506437248*x^4+83140992*x^2+104976
Common denominator of the automorphisms:
2497017099507138428993819073584210390690953007784230472047110328740416012005\
2634224933793211670158675554894146684032092442220827706257440510995498252290\
7830446335989990498379201781680756285951097429908921585219294886899666058520\
0332858167767611887992601916891108669080484297276578688995827838912359174476\
116677824324344992
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.