Group GAP4(96,28)

Name: (C24 x C2) : C2
Maximal quotients:GAP4(32,9) GAP4(48,6) GAP4(48,7) GAP4(48,14)
Real polynomial:
x^96-592*x^94+166784*x^92-29793952*x^90+3793573560*x^88-366907985632*x^86+28\
051349893632*x^84-1741807147022656*x^82+89563860929617096*x^80-3869242059391\
620800*x^78+141990474363153292800*x^76-4464060960278284475264*x^74+121037542\
431196455531104*x^72-2844948217545174085812352*x^70+582004968213195264793804\
80*x^68-1039413032853116636105467648*x^66+16240945875202369087598398960*x^64\
-222349937730135003350747443712*x^62+2669491549434158242377888559104*x^60-28\
112305156665310102939835417600*x^58+259606698113132508639247634491136*x^56-2\
100575113762680960360810284846080*x^54+14872970077002537635443222638084096*x\
^52-91984377632429506341557945429002240*x^50+4957825220365065708288830440010\
79040*x^48-2322268002307518101154882689991464960*x^46+9421751986124280931452\
479393780514816*x^44-32980902701756141794299444389039697920*x^42+99165794369\
110642264039739513896991744*x^40-254806824453503327832624849418411970560*x^3\
8+556279123061533769968800202724580655104*x^36-10250965410229240451418645348\
52129644544*x^34+1582816471086782030532903448559571193600*x^32-2030992062037\
707202509324306852765077504*x^30+2145847785928484380208066700974187970560*x^\
28-1847806931361942970323984632024851226624*x^26+128221471610561745503849646\
5769171572736*x^24-708096693958582171961119990725281472512*x^22+306979688277\
598262499502479004378726400*x^20-102919243642347796682929323670311157760*x^1\
8+26243594178332162623487691806297933824*x^16-499304508943690883962542691148\
3117568*x^14+692225760608879537026024464335634432*x^12-677187586107797256581\
29199502557184*x^10+4453257431172273349400175327436800*x^8-18132662720707056\
5007106053144576*x^6+3882076241951577183286758211584*x^4-2803608088859468281\
2478193664*x^2+25153642963405376262144
Common denominator of the automorphisms:
1429338821550641247126723437497726542431801695053956569070704711228278761518\
4778681976057276542364164855250608245179372103300851180899036238122643958346\
1915745780017415596494494952037914160510231568686292754872526115913932510590\
8018128530448588063342825934512770212998494910441692614614803689370139034250\
117120
Complex polynomial:
x^96+103056*x^88+8896405104*x^80-543477343808*x^72-284335020143520*x^64-2454\
5633527113984*x^56+16819897287909680896*x^48+30897973113296421888*x^40+14864\
840602593493248*x^32+4761188356671963136*x^24-3688690113576960*x^16+41256952\
528896*x^8+268435456
Common denominator of the automorphisms:
1991420196342818130999138127194694180088814652928867937812480

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.