Group GAP4(96,166)

Name: C12 x Q8
Maximal quotients:GAP4(32,26) GAP4(48,44) GAP4(48,46) GAP4(48,47)
Real polynomial:
x^96-276*x^94+36072*x^92-2971620*x^90+173297025*x^88-7618098168*x^86+2625074\
43300*x^84-7280632295568*x^82+165635704896354*x^80-3134905192572840*x^78+498\
98750526878112*x^76-673690250938172328*x^74+7768236370957279488*x^72-7693503\
5391524801532*x^70+657512996584250356560*x^68-4868369518520945045052*x^66+31\
334841414531526107429*x^64-175829185639858655169648*x^62+8622766520504738386\
79976*x^60-3703421672269134470439804*x^58+13954522663155445966742589*x^56-46\
194030528366130126558668*x^54+134483165515423627661687652*x^52-3445539189962\
67239422885560*x^50+777116518028467644648206511*x^48-15428143760499412784270\
27784*x^46+2694712917038462713377841752*x^44-4136694814956588625870689456*x^\
42+5572966675830451528011667425*x^40-6575315113644304839457302792*x^38+67760\
25625736406829385019756*x^36-6078302975666631011207830776*x^34+4726089098016\
349208011477533*x^32-3168698129612717202220315068*x^30+182042849513006359924\
2790752*x^28-889286575766551657826775480*x^26+365949344559985536333528855*x^\
24-125412740285439669413994648*x^22+35292401523763827386454180*x^20-80133915\
43553749100966916*x^18+1435901408141588022388950*x^16-1973601788353880125189\
68*x^14+20049269404152071451096*x^12-1433085763415828770188*x^10+67500316035\
691115976*x^8-1919629500453665964*x^6+28913253081348240*x^4-183014339639688*\
x^2+282429536481
Common denominator of the automorphisms:
1673859756154055448756325065764515162632184202320861752447453783869748375983\
4777769711970550341312124049731030299405718566954202440118677656299784879484\
4435988919638911896505608948162900372508288080925074644590438417027838556923\
4958825135
Complex polynomial:
x^96-12*x^94+108*x^92-900*x^90+7335*x^88-59400*x^86+480168*x^84-3879576*x^82\
+31341249*x^80-253181700*x^78+2045238660*x^76-16521691500*x^74+133464176199*\
x^72-454359616380*x^70+1223978799456*x^68-2986814523456*x^66+6934306104945*x\
^64-15660350647920*x^62+34798701646332*x^60-76565485497780*x^58+167396435086\
023*x^56-364209846548868*x^54+787415658592680*x^52-1674615720969720*x^50+335\
3411502285201*x^48-5023847162909160*x^46+7086740927334120*x^44-9833665856819\
436*x^42+13559111241967863*x^40-18605412975960540*x^38+25368253500176028*x^3\
6-34249186867001040*x^34+45495982354544145*x^32-58789470265184448*x^30+72274\
724129077344*x^28-80488442962867860*x^26+70928335263372759*x^24-263409127573\
54500*x^22+9782313108381540*x^20-3632880667401900*x^18+1349138001494529*x^16\
-501009077010888*x^14+186026921362152*x^12-69038331139800*x^10+2557556358133\
5*x^8-9414317882700*x^6+3389154437772*x^4-1129718145924*x^2+282429536481
Common denominator of the automorphisms:
73417827705846893979432303897

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.