Group GAP4(96,21)
Name: (C3 : C4) : C8
Maximal quotients:GAP4(32,12) GAP4(48,4) GAP4(48,5) GAP4(48,12)
Real polynomial:
x^96-576*x^94+158112*x^92-27544320*x^90+3421529424*x^88-322832832768*x^86+24\
067268709552*x^84-1456023227363712*x^82+72860785224101172*x^80-3058779336680\
580480*x^78+108892421288271187344*x^76-3314684186091204437376*x^74+868323349\
06943880205080*x^72-1967412133865861729322624*x^70+3870512715138822543232814\
4*x^68-663101253041531118285921408*x^66+9914414581014397399966999734*x^64-12\
9560888443500342681740810496*x^62+1481101608375173870071002876816*x^60-14816\
659634804475047283743737728*x^58+129689395096027700918227831860744*x^56-9926\
06673620331519269932546819200*x^54+6635916298071734566864561072189488*x^52-3\
8691277848595935322457050124102016*x^50+196360760458643142911290465791188844\
*x^48-865296158531776473195484644571678080*x^46+3301190971086447682793307203\
673874032*x^44-10866109560228489104752200711899264640*x^42+30734937841018615\
273406705818034802888*x^40-74359045761151208759695373013120193920*x^38+15306\
1969543395689794291203641618263536*x^36-266430738371734778155775985136223769\
984*x^34+389451729805590550941621416369664059841*x^32-4742497688774604624426\
33442818705887424*x^30+476733749905958931718868852683901666064*x^28-39148289\
2697002219712587289127727241088*x^26+259473023426260127765802877915374623016\
*x^24-136888306233004585346952789583117342848*x^22+5655076833047039254103601\
7342846022112*x^20-17938935986684545793740364337353303808*x^18+4265301244949\
767859487793522271006040*x^16-737281866569596263662886079294761216*x^14+8909\
1543287991135192381670934250432*x^12-7160231359525233497416037378284032*x^10\
+360133321371181622962473321545760*x^8-10523080087187486219094439374336*x^6+\
159959500774452448152368558976*x^4-982747088560634780285070336*x^2+467048876\
275130976819216
Common denominator of the automorphisms:
1694515997338392242774293142466724593424722107266366073771229484399403467138\
1052698040352930023763092846279501595427466675627782363234095352032450640868\
337790345678201355861596670772461585281016985266962770924929024
Complex polynomial:
x^96+576*x^94+158112*x^92+27544320*x^90+3421529424*x^88+322832832768*x^86+24\
067268709552*x^84+1456023227363712*x^82+72860785224101172*x^80+3058779336680\
580480*x^78+108892421288271187344*x^76+3314684186091204437376*x^74+868323349\
06943880205080*x^72+1967412133865861729322624*x^70+3870512715138822543232814\
4*x^68+663101253041531118285921408*x^66+9914414581014397399966999734*x^64+12\
9560888443500342681740810496*x^62+1481101608375173870071002876816*x^60+14816\
659634804475047283743737728*x^58+129689395096027700918227831860744*x^56+9926\
06673620331519269932546819200*x^54+6635916298071734566864561072189488*x^52+3\
8691277848595935322457050124102016*x^50+196360760458643142911290465791188844\
*x^48+865296158531776473195484644571678080*x^46+3301190971086447682793307203\
673874032*x^44+10866109560228489104752200711899264640*x^42+30734937841018615\
273406705818034802888*x^40+74359045761151208759695373013120193920*x^38+15306\
1969543395689794291203641618263536*x^36+266430738371734778155775985136223769\
984*x^34+389451729805590550941621416369664059841*x^32+4742497688774604624426\
33442818705887424*x^30+476733749905958931718868852683901666064*x^28+39148289\
2697002219712587289127727241088*x^26+259473023426260127765802877915374623016\
*x^24+136888306233004585346952789583117342848*x^22+5655076833047039254103601\
7342846022112*x^20+17938935986684545793740364337353303808*x^18+4265301244949\
767859487793522271006040*x^16+737281866569596263662886079294761216*x^14+8909\
1543287991135192381670934250432*x^12+7160231359525233497416037378284032*x^10\
+360133321371181622962473321545760*x^8+10523080087187486219094439374336*x^6+\
159959500774452448152368558976*x^4+982747088560634780285070336*x^2+467048876\
275130976819216
Common denominator of the automorphisms:
1694515997338392242774293142466724593424722107266366073771229484399403467138\
1052698040352930023763092846279501595427466675627782363234095352032450640868\
337790345678201355861596670772461585281016985266962770924929024
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.