Group GAP4(96,59)
Name: C48 x C2
Maximal quotients:GAP4(32,16) GAP4(48,2) GAP4(48,23)
Real polynomial:
x^96-96*x^94+4464*x^92-133952*x^90+2915640*x^88-49059648*x^86+664122272*x^84\
-7432199808*x^82+70120271484*x^80-565977159360*x^78+3952626533856*x^76-24096\
225928320*x^74+129134734588080*x^72-611804229114240*x^70+2574054378590400*x^\
68-9652174278895360*x^66+32349865356610229*x^64-97121859358043456*x^62+26162\
0279267890208*x^60-633038816547015040*x^58+1376859425989319696*x^56-26925250\
99708033920*x^54+4733419432006895040*x^52-7476490966826868480*x^50+106003488\
81161949000*x^48-13472894121932848512*x^46+15323566371481988032*x^44-1556209\
7400444383488*x^42+14074543801700780384*x^40-11300199467652417280*x^38+80242\
82280279280512*x^36-5017664039224911360*x^34+2748933204948667606*x^32-131165\
7990127557312*x^30+541336542325994464*x^28-191684303089265280*x^26+576812584\
59717360*x^24-14584539804565120*x^22+3056740132482880*x^20-522338021002496*x\
^18+71297640772728*x^16-7574168921984*x^14+605231006912*x^12-34717144320*x^1\
0+1335706592*x^8-30977792*x^6+360320*x^4-1536*x^2+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^96+96*x^94+4464*x^92+133952*x^90+2915640*x^88+49059648*x^86+664122272*x^84\
+7432199808*x^82+70120271484*x^80+565977159360*x^78+3952626533856*x^76+24096\
225928320*x^74+129134734588080*x^72+611804229114240*x^70+2574054378590400*x^\
68+9652174278895360*x^66+32349865356610229*x^64+97121859358043456*x^62+26162\
0279267890208*x^60+633038816547015040*x^58+1376859425989319696*x^56+26925250\
99708033920*x^54+4733419432006895040*x^52+7476490966826868480*x^50+106003488\
81161949000*x^48+13472894121932848512*x^46+15323566371481988032*x^44+1556209\
7400444383488*x^42+14074543801700780384*x^40+11300199467652417280*x^38+80242\
82280279280512*x^36+5017664039224911360*x^34+2748933204948667606*x^32+131165\
7990127557312*x^30+541336542325994464*x^28+191684303089265280*x^26+576812584\
59717360*x^24+14584539804565120*x^22+3056740132482880*x^20+522338021002496*x\
^18+71297640772728*x^16+7574168921984*x^14+605231006912*x^12+34717144320*x^1\
0+1335706592*x^8+30977792*x^6+360320*x^4+1536*x^2+1
Common denominator of the automorphisms:
1
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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