Group GAP4(96,139)

Name: (C6 x D8) : C2
Maximal quotients:GAP4(32,43) GAP4(48,43)
Real polynomial:
x^96-1200*x^94+681840*x^92-244465200*x^90+62186826600*x^88-11964654180000*x^\
86+1812497624766000*x^84-222213173049180000*x^82+22491208089624172500*x^80-1\
907651061306328500000*x^78+137165635218311341650000*x^76-8437309105724536581\
000000*x^74+447226492080762352324125000*x^72-20546988527273555863507500000*x\
^70+822056894992260347843058750000*x^68-28748600762526705884912775000000*x^6\
6+881407752232256352758493864843750*x^64-23744843868257348563401971625000000\
*x^62+563012495484482168196624986343750000*x^60-1176274653285039586723329195\
0937500000*x^58+216673790858922644454998584755703125000*x^56-351938422554811\
7405451738063764062500000*x^54+50389808797283242089291977800075781250000*x^5\
2-635458294365746365425638769033375000000000*x^50+70493635106302511716839805\
34858475585937500*x^48-68670965008448468773798175103172851562500000*x^46+586\
111568477144147132280744916920058593750000*x^44-4370810345680356304699610661\
483649218750000000*x^42+28382876785691935690908218228314579248046875000*x^40\
-159854289918309207491632902164404204101562500000*x^38+777171203946514760652\
672704781076393066406250000*x^36-3243658820190790147002671581098979365234375\
000000*x^34+11547344635383976572693935173170566877593994140625*x^32-34801653\
136732881589311353204040225549316406250000*x^30+8802293291478508517686821132\
0743589624023437500000*x^28-184948794756636567015963560319600529724121093750\
000*x^26+319015406338465241389323969069605310607910156250000*x^24-4455012464\
71778621730870399494584302978515625000000*x^22+49555912698270727944420999201\
6812728271484375000000*x^20-430751398755609530918343010022491323852539062500\
000*x^18+286001964255074603563096465655616895294189453125000*x^16-1411491238\
11271096822974959043120758056640625000000*x^14+50079129111508625818266527892\
635559082031250000000*x^12-1224167822499796826891339350740646362304687500000\
0*x^10+1944667787034794397636436437385711669921875000000*x^8-183157442820843\
610733331454385375976562500000000*x^6+85416779699411865611377912536621093750\
00000000*x^4-118757598125039768972775764465332031250000000*x^2+4665879462390\
63041765061378479003906250000
Common denominator of the automorphisms:
4557586122136259713863645384023446984112275593994840425366362466374669142707\
8635676379355885353643044812577624077053372078847168316951207432453121645323\
3426379931165914705272111551149794874036828876308041110497655550847662661390\
9424032799335826317320354589812058531250000000000000000000
Complex polynomial:
x^96+185328*x^84+3951679608*x^72+867787568208*x^60+76640698098648*x^48+54198\
54764869248*x^36+1017202511782944*x^24+53185084729920*x^12+55788550416
Common denominator of the automorphisms:
4599486650506506116112542523702900181248

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.