Group GAP4(72,10)
Name: C9 x D8
Maximal quotients:GAP4(24,10) GAP4(36,5)
Real polynomial:
x^72-216*x^70+22356*x^68-1476144*x^66+69845490*x^64-2521943424*x^62+72257500\
224*x^60-1686537697536*x^58+32670079851879*x^56-532401301324628*x^54+7372899\
316717740*x^52-87419951129619468*x^50+892412017406052570*x^48-78746348510243\
55792*x^46+60223512913620826896*x^44-399799833430679592372*x^42+230509938951\
7217516223*x^40-11537866030584055273020*x^38+50069065121835144908968*x^36-18\
7948966128982415395596*x^34+608328299093947492158342*x^32-169050782775756649\
6356768*x^30+4011776725127965907032476*x^28-8076008828273770399040352*x^26+1\
3678870262817156930125010*x^24-19301289728288444705302488*x^22+2241694376080\
2816377677668*x^20-21118758614972059737334896*x^18+1585284458515961342920232\
4*x^16-9275517034948217277165960*x^14+4115331707369003445489048*x^12-1336431\
084234702218807508*x^10+302927055801763514687001*x^8-44749300133297685398364\
*x^6+3848140897077092504544*x^4-150908057843484803508*x^2+843221627604458001
Common denominator of the automorphisms:
468771434187375560210613506925
Complex polynomial:
x^72-118*x^63+6962*x^54-209878*x^45+3164839*x^36-78158*x^27+968*x^18-44*x^9+\
1
Common denominator of the automorphisms:
3443871104871039
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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