Group GAP4(108,23)

Name: C6 x D18
Maximal quotients:GAP4(36,4) GAP4(36,12) GAP4(54,3)
Real polynomial:
x^108-396*x^106+74844*x^104-8997282*x^102+773541612*x^100-50705897184*x^98+2\
638155017961*x^96-111984347087424*x^94+3956159849132952*x^92-118073598301116\
078*x^90+3011794050189309516*x^88-66261781246608685944*x^86+1266622422634298\
426256*x^84-21161627058407257553328*x^82+310497724998530959079304*x^80-40167\
49738678472224506762*x^78+45959480548792236499589100*x^76-466299295113427793\
305526880*x^74+4203549210803599802799312735*x^72-337208632365620024891212512\
96*x^70+240991739552578187823553465704*x^68-1535517707643692492124430621674*\
x^66+8726452309541230092225087704172*x^64-44238013417881256605566369104584*x\
^62+200007126060166518993824052703041*x^60-806088177003057551247207554846388\
*x^58+2893907506333305407569705807981956*x^56-924516040375131353597968689794\
3252*x^54+26249453502308540112977574455601864*x^52-6613555586913488259347373\
6594992424*x^50+147595625112667225509689055520744152*x^48-291157410905682552\
264437120656258560*x^46+506478569010800843198538141245368704*x^44-7748154152\
08707660054751520808397884*x^42+1039239108568305441091258234027239744*x^40-1\
217940379749765792116150519758635000*x^38+1242405749956499517940768972402088\
859*x^36-1098401807517011423072154561260597796*x^34+837584113278762672414225\
242721601788*x^32-547924199231675091368377176072864282*x^30+3056357654647024\
67137886571611465364*x^28-144382566645520755542532796410935712*x^26+57319471\
902504518183736562264298991*x^24-18956632543579920021262999220091672*x^22+51\
70547563916632149226130871842808*x^20-1149710512382684758561840085686086*x^1\
8+205586168121145053082375697728836*x^16-29083017793154374591518308334336*x^\
14+3189562204289371219102964125185*x^12-264225569973032691012408254460*x^10+\
15964108269289257049776486972*x^8-668979375611235835606473888*x^6+1798316909\
4507817494425328*x^4-270459713961899714768832*x^2+1674881585956200614976
Common denominator of the automorphisms:
7160724689736095876449755257524548021323777158504386735733929690458284995470\
5898845895740898597952488943535425202044077596144696442675816055698550644408\
7434704433415276061132140880027073709720294927592113877926604325999625292120\
8702701124057723052865917022253123245293935568864994785342159685792812712875\
8380229435141526987278258503671884042300843984166472034358581820842796465204\
1934353881789153034029393170013100286502409076797473649681354503352828345343\
8397671780767160708381818669124644683222803351830926216198237797660281529773\
08762454272008494300822597632
Complex polynomial:
x^108-63*x^102+2988*x^96-51555*x^90+630729*x^84-3916503*x^78+17539269*x^72-4\
3214238*x^66+66577833*x^60+43663745*x^54-45163962*x^48-5902074*x^42+23241624\
*x^36+316611*x^30-2735928*x^24-78672*x^18+272313*x^12-522*x^6+1
Common denominator of the automorphisms:
7181096831311430005326448129009008

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.