Group GAP4(96,66)
Name: SL(2,3) : C4
Maximal quotients:GAP4(48,28) GAP4(48,29) GAP4(48,30)
Real polynomial:
x^96-288*x^94+39408*x^92-3413760*x^90+210460728*x^88-9841715904*x^86+3633024\
15984*x^84-10878500069056*x^82+269440184676796*x^80-5601247842567744*x^78+98\
830195851457072*x^76-1493000152730683712*x^74+19443544104147160600*x^72-2194\
79714038752101696*x^70+2156645237100598419824*x^68-18509064283892318417088*x\
^66+139100061772814806857414*x^64-917129845568405958030464*x^62+531204802632\
9313194102800*x^60-27049384892701224921891904*x^58+1211272132638937665294459\
44*x^56-476914132182711805705849280*x^54+1650005863674339533769488080*x^52-5\
010946532742983670585852736*x^50+13338027855179056484364303772*x^48-31056155\
106244047043650749888*x^46+63098387545047300517526448272*x^44-11153101592351\
1225634910945216*x^42+170884898331059355577415509672*x^40-225972593702796176\
703387205056*x^38+256565590403411125721188738896*x^36-2485622993987922867313\
07319360*x^34+203950834491865719289730263041*x^32-14045836653220795160825251\
7472*x^30+80300251065816868665705989952*x^28-37595941816141649466640734144*x\
^26+14174120414446261115435591248*x^24-4213206780423100868536250496*x^22+961\
594357794666025958900224*x^20-163076284727965711100079360*x^18+1976661194255\
6543808434528*x^16-1643349274903256775815680*x^14+90470216992165568058368*x^\
12-3214983895078407468032*x^10+71770658692607718656*x^8-962013960092981248*x\
^6+7079908451610624*x^4-23555135746048*x^2+21710254336
Common denominator of the automorphisms:
5562711557916954169216955857753016321733122287835267578860822729875113767196\
4857048506371071857843126408307209583168705742701170636549525783111106124963\
0571066246813278930019737927680
Complex polynomial:
x^96+288*x^94+39408*x^92+3413760*x^90+210460728*x^88+9841715904*x^86+3633024\
15984*x^84+10878500069056*x^82+269440184676796*x^80+5601247842567744*x^78+98\
830195851457072*x^76+1493000152730683712*x^74+19443544104147160600*x^72+2194\
79714038752101696*x^70+2156645237100598419824*x^68+18509064283892318417088*x\
^66+139100061772814806857414*x^64+917129845568405958030464*x^62+531204802632\
9313194102800*x^60+27049384892701224921891904*x^58+1211272132638937665294459\
44*x^56+476914132182711805705849280*x^54+1650005863674339533769488080*x^52+5\
010946532742983670585852736*x^50+13338027855179056484364303772*x^48+31056155\
106244047043650749888*x^46+63098387545047300517526448272*x^44+11153101592351\
1225634910945216*x^42+170884898331059355577415509672*x^40+225972593702796176\
703387205056*x^38+256565590403411125721188738896*x^36+2485622993987922867313\
07319360*x^34+203950834491865719289730263041*x^32+14045836653220795160825251\
7472*x^30+80300251065816868665705989952*x^28+37595941816141649466640734144*x\
^26+14174120414446261115435591248*x^24+4213206780423100868536250496*x^22+961\
594357794666025958900224*x^20+163076284727965711100079360*x^18+1976661194255\
6543808434528*x^16+1643349274903256775815680*x^14+90470216992165568058368*x^\
12+3214983895078407468032*x^10+71770658692607718656*x^8+962013960092981248*x\
^6+7079908451610624*x^4+23555135746048*x^2+21710254336
Common denominator of the automorphisms:
5562711557916954169216955857753016321733122287835267578860822729875113767196\
4857048506371071857843126408307209583168705742701170636549525783111106124963\
0571066246813278930019737927680
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.