Group GAP4(96,2)
Name: C96
Maximal quotients:GAP4(32,1) GAP4(48,2)
Real polynomial:
x^96-97*x^94+4559*x^92-138322*x^90+3045315*x^88-51849798*x^86+710513166*x^84\
-8052482548*x^82+76973590199*x^80-629783919810*x^78+4460607487206*x^76-27593\
525385972*x^74+150141241070730*x^72-722657841637140*x^70+3090885949170900*x^\
68-11790599084154360*x^66+40229960763989645*x^64-123056350572203620*x^62+338\
015545242635260*x^60-834775233190313800*x^58+1854935615569645340*x^56-370987\
1231139290680*x^54+6677768216050723224*x^52-10813119390972851472*x^50+157382\
73086176239300*x^48-20564676832603619352*x^46+24084957373829374344*x^44-2523\
1860105916487408*x^42+23586304012052368664*x^40-19615384675337669680*x^38+14\
462686611368371376*x^36-9415590697137180192*x^34+5386804293073675206*x^32-26\
93402146536837603*x^30+1169404293314313245*x^28-437583542014388182*x^26+1398\
83263430829009*x^24-37806287413737570*x^22+8532551931914010*x^20-15842934621\
59100*x^18+237644019323865*x^16-28152950024430*x^14+2559359093130*x^12-17194\
6605740*x^10+8110688950*x^8-249559660*x^6+4467820*x^4-38024*x^2+97
Common denominator of the automorphisms:
1
Complex polynomial:
x^96+97*x^94+4559*x^92+138322*x^90+3045315*x^88+51849798*x^86+710513166*x^84\
+8052482548*x^82+76973590199*x^80+629783919810*x^78+4460607487206*x^76+27593\
525385972*x^74+150141241070730*x^72+722657841637140*x^70+3090885949170900*x^\
68+11790599084154360*x^66+40229960763989645*x^64+123056350572203620*x^62+338\
015545242635260*x^60+834775233190313800*x^58+1854935615569645340*x^56+370987\
1231139290680*x^54+6677768216050723224*x^52+10813119390972851472*x^50+157382\
73086176239300*x^48+20564676832603619352*x^46+24084957373829374344*x^44+2523\
1860105916487408*x^42+23586304012052368664*x^40+19615384675337669680*x^38+14\
462686611368371376*x^36+9415590697137180192*x^34+5386804293073675206*x^32+26\
93402146536837603*x^30+1169404293314313245*x^28+437583542014388182*x^26+1398\
83263430829009*x^24+37806287413737570*x^22+8532551931914010*x^20+15842934621\
59100*x^18+237644019323865*x^16+28152950024430*x^14+2559359093130*x^12+17194\
6605740*x^10+8110688950*x^8+249559660*x^6+4467820*x^4+38024*x^2+97
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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