Group GAP4(96,19)

Name: (C3 : C16) : C2
Maximal quotients:GAP4(32,17) GAP4(48,9)
Real polynomial:
x^96-1440*x^94+1004400*x^92-452088000*x^90+147604275000*x^88-37254670200000*\
x^86+7564767754500000*x^84-1269861014070000000*x^82+179710586408798437500*x^\
80-21758063335318125000000*x^78+2279283634742802187500000*x^76-2084264714123\
09718750000000*x^74+16754758907281660612406250000*x^72-119069037350403309889\
8750000000*x^70+75144179059775985719165625000000*x^68-4226628145703281479195\
187500000000*x^66+212487125934353652218578161621093750*x^64-9569040491522270\
483053235156250000000*x^62+386646486894913847015037708984375000000*x^60-1403\
3443960618989746898249492187500000000*x^58+457841113055364561185611827246093\
750000000*x^56-13430006284933340454333049277343750000000000*x^54+35414631618\
2122476382018700625000000000000000*x^52-839067445509536868697145503828125000\
0000000000*x^50+178447561271700732590422975492776306152343750000*x^48-340206\
7532455337531574695698548940429687500000000*x^46+580408598938363956162150028\
13490051269531250000000*x^44-88416810752846367603275247529927661132812500000\
0000*x^42+11994865070336827166531391782128131637573242187500000*x^40-1444590\
16396824880533206136992788064575195312500000000*x^38+15387515225768188646286\
36292806228630065917968750000000*x^36-14433768428343388542559321267945749664\
306640625000000000*x^34+1186263944942322637263011837417326989904046058654785\
15625*x^32-849220487183968265593799823394553181409835815429687500000*x^30+52\
59345750356183842194143460705017121434211730957031250000*x^28-27955498072309\
023085488168066030443823337554931640625000000*x^26+1263604584386937793773118\
43646080586791775226593017578125000*x^24-48048092028829209037695266707405875\
2325153350830078125000000*x^22+151767262397234352364108374369559553568434715\
2709960937500000*x^20-392361457862399065426110733496160616915225982666015625\
0000000*x^18+8159038476254122648130608774639750805003196001052856445312500*x\
^16-13368996138324034837340889813865583783805370330810546875000000*x^14+1684\
1422337089355372634773482665487482100725173950195312500000*x^12-158257819442\
19692666968351495993872740864753723144531250000000*x^10+10670186042003402362\
634609881201806077733635902404785156250000*x^8-48904147356115579076320798706\
43594190478324890136718750000000*x^6+140147323045575878703484635704058352857\
8281402587890625000000*x^4-2157355837596983426530761362615637481212615966796\
87500000000*x^2+12353523226468803518661746142245349381119012832641601562500
Common denominator of the automorphisms:
3832726275910108068399810093164497458708077572408586046336293220520019531250\
000000
Complex polynomial:
x^96+492311448964571005440*x^64+445077030768242501420199608796119040*x^32+10\
99511627776
Common denominator of the automorphisms:
227955062650947467663058081315062210558885418880318046208

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.