Group GAP4(96,214)
Name: (C6 x Q8) : C2
Maximal quotients:GAP4(32,50) GAP4(48,51)
Real polynomial:
x^96-576*x^94+157344*x^92-27162240*x^90+3331440912*x^88-309427013376*x^86+22\
652801820288*x^84-1343310805624320*x^82+65805893694078240*x^80-2702604167055\
682560*x^78+94112602112280688128*x^76-2803589558669715093504*x^74+7195137265\
9594346960128*x^72-1599788014942174408691712*x^70+30955338605875910798727168\
*x^68-523130840058676923462524928*x^66+7742933069232778823661739776*x^64-100\
590203710025437266822463488*x^62+1148808801589359006616287854592*x^60-115464\
39559151841531882388389888*x^58+102193345819433619209205509529600*x^56-79662\
0044799018105593821136289792*x^54+5468113793752884824083834672840704*x^52-33\
030480651548748583264217120636928*x^50+175407870473740213806247672424939520*\
x^48-817783573513801332158099009494843392*x^46+33412683675720947839381468955\
23479552*x^44-11937756765198793143171766635168006144*x^42+372004239610362201\
14745949691082571776*x^40-100803696976827103231985516434874695680*x^38+23670\
3744824526758176945392531916455936*x^36-479766683421194455001255831233923907\
584*x^34+835677652195681921143179260650534666240*x^32-1244801751868851651478\
455002236232663040*x^30+1577071633746385908725483765387464015872*x^28-168918\
5064120668633611111958656516620288*x^26+151941524166174241113858929933494937\
1904*x^24-1139219517384762424302833875174180257792*x^22+70599424297605926309\
6026778173943316480*x^20-358120618640787555613539695259738439680*x^18+146996\
277528167666595905146778875330560*x^16-4814985410249406709123731779774683545\
6*x^14+12369686214677998644994599550640455680*x^12-2436968990805721700081968\
800910540800*x^10+357191755705603721168876222891950080*x^8-37296648472988390\
330301289209004032*x^6+2593124138719232316372155476475904*x^4-10637348298003\
7727500018353438720*x^2+1926621157444889752433795792896
Common denominator of the automorphisms:
3373544282332111568384889411771500678795891674305965176020550366160125199116\
6795123765249056317577454803378848364170906063256930424012199980393679440125\
5850952738189307352223430750130133726483870741553407000934510460468155102372\
86166454301587649229715915375741304810836758059714189317057780187970666496
Complex polynomial:
x^96+22692049884000000*x^72+70578369252486000000000000*x^48+1488825392889240\
00000000000000000*x^24+43046721000000000000000000000000
Common denominator of the automorphisms:
9291636660927404399616000000000000000000000000
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.