Group GAP4(88,5)

Name: D88
Maximal quotients:GAP4(8,3) GAP4(44,3)
Real polynomial:
x^88-520*x^86+113444*x^84-14129480*x^82+1145285988*x^80-65067740240*x^78+271\
9339474024*x^76-86506655375680*x^74+2148844774501024*x^72-42511736515715840*\
x^70+680403919011129280*x^68-8922051490091086080*x^66+96842623365261817344*x\
^64-877447269386652299520*x^62+6682078198933155437312*x^60-43009964881520544\
972800*x^58+235049984494606141781248*x^56-1094605714568974661427200*x^54+435\
6100655401377755199488*x^52-14846632909191280488601600*x^50+4340544056432024\
6597296128*x^48-108973757215262765535641600*x^46+235091879203133366349334528\
*x^44-435895028861051062142566400*x^42+694487049029123945556738048*x^40-9501\
84506188241951270502400*x^38+1115161767782752705331068928*x^36-1120876251718\
630053301452800*x^34+962764736489906756735991808*x^32-7046752646188326088343\
55200*x^30+437916676845283274739679232*x^28-230017536986094580405370880*x^26\
+101546850637852775383302144*x^24-37421796253095002709688320*x^22+1141528351\
6496222334484480*x^20-2852914344237008169205760*x^18+57682612691639954990694\
4*x^16-92885813931222048440320*x^14+11679474107654921519104*x^12-11178552654\
21692764160*x^10+78703453808432775168*x^8-3883881888607109120*x^6+1247329971\
01420544*x^4-2286984185774080*x^2+17592186044416
Common denominator of the automorphisms:
1406345529072197775876750347813323339175188341658628272441030884831591254344\
9933285542241376781232411299020800000
Complex polynomial:
x^88-63*x^84+2518*x^80+90669*x^76-572294*x^72+42891765*x^68-1628723855*x^64+\
119711893772*x^60-90502383002*x^56+182926972298*x^52-331490324008*x^48+81943\
0001422*x^44-331490324008*x^40+182926972298*x^36-90502383002*x^32+1197118937\
72*x^28-1628723855*x^24+42891765*x^20-572294*x^16+90669*x^12+2518*x^8-63*x^4\
+1
Common denominator of the automorphisms:
55716823456156556346785792

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.