Group GAP4(96,149)

Name: (C6 x Q8) : C2
Maximal quotients:GAP4(32,44) GAP4(48,43)
Real polynomial:
x^96-1200*x^94+681840*x^92-244465200*x^90+62186575500*x^88-11964469986000*x^\
86+1812437878356000*x^84-222202423397430000*x^82+22490226639877533750*x^80-1\
907671814620957350000*x^78+137187333270283280400000*x^76-8441158765829308103\
250000*x^74+447664546691475228966937500*x^72-20584384864888589923263750000*x\
^70+824596467744193720301137500000*x^68-28890025120118640352109681250000*x^6\
6+887987260935420809906125831640625*x^64-24003773564229407377935635062500000\
*x^62+571708370151428795980876128656250000*x^60-1201356510816824388832586648\
0625000000*x^58+222916025726128329302069440249218750000*x^56-365387692835323\
7208610403414512500000000*x^54+52904105303510034050094548524406250000000*x^5\
2-676297986961154048078564475037968750000000*x^50+76260493796003787097557430\
56952031250000000*x^48-75748970778591032119385903092199062500000000*x^46+661\
554145740953592552682394720008593750000000*x^44-5068036808345951168830836155\
903025000000000000*x^42+33957203411932727525852939783661269531250000000*x^40\
-198291933080257694750154450135336656250000000000*x^38+100489024124504596856\
1900434506295765625000000000*x^36-439727384563013772282170483943806671875000\
0000000*x^34+16515962624190327884302270179502964707031250000000*x^32-5286909\
8723349378131056236810843914062500000000000*x^30+143027259055618768534198613\
670068285156250000000000*x^28-3237307617311290068328187121381385781250000000\
00000*x^26+605674063401964341258280078204426371093750000000000*x^24-92299398\
9934385751731643727943485312500000000000000*x^22+112518622526354751633359167\
6756564218750000000000000*x^20-107292545116669213109204591919666796875000000\
0000000*x^18+777958210582443429613997380750251562500000000000000*x^16-413726\
408095947775003130387418070312500000000000000*x^14+1540198342797883424690181\
68019339843750000000000000*x^12-37747145722744311661535569263281250000000000\
000000*x^10+5603291002274907831617341739355468750000000000000*x^8-4501137299\
53987621690783045312500000000000000000*x^6+172183964879663530744673003906250\
00000000000000*x^4-240873674523964274844773437500000000000000000*x^2+7894521\
98089405632441650390625000000000000
Common denominator of the automorphisms:
4657921428226331385818686660234483979496504116126587499877519170768627445503\
8174826350170440966542871798695881018440320309768996131907874450576023828664\
2753635954338673634032593802972787238276802714727965492991625507812302236669\
15683542512757436893299755184321812368750000000000000000000
Complex polynomial:
x^96+30734368*x^72+98355609984*x^48+1966999552*x^24+4096
Common denominator of the automorphisms:
43622134972416000

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.