Group GAP4(108,18)

Name: C9 x A4
Maximal quotients:GAP4(27,2) GAP4(36,11)
Real polynomial:
x^108-1020*x^106+457676*x^104-119712140*x^102+20438794820*x^100-242336004884\
0*x^98+207819019163918*x^96-13284177931669160*x^94+648182389537390788*x^92-2\
4609435161254378180*x^90+738319866821799885696*x^88-17719161726434855107200*\
x^86+343434332419116517977917*x^84-5415055373334799189255020*x^82+6983101331\
4027037368106612*x^80-739303690532714517430485780*x^78+644198131311465155355\
6895864*x^76-46271449848093840116968969520*x^74+2742171669307767885709369489\
00*x^72-1341550977945224784111794012500*x^70+5421002032579137581795829673012\
*x^68-18106859421312440479588835093270*x^66+50051010717619748864812817229112\
*x^64-114687652829207878736713558700340*x^62+2183076730837724968145403928292\
78*x^60-346020282323647769344522165820520*x^58+45779821262490164141029268102\
3336*x^56-506741654620636297601769904885080*x^54+470225367918584238405973046\
798908*x^52-366363828712639890477602809708940*x^50+2399190665723483254974194\
37931686*x^48-132123722736065330698089079199200*x^46+61183212803562673107970\
963350900*x^44-23809304890823579129844355812310*x^42+77770662938846900111613\
92142488*x^40-2128657394404711273339441908300*x^38+4871537115108335789242500\
45608*x^36-92967514939426797410597918040*x^34+14747265804936769793038533476*\
x^32-1937157161023071808876516040*x^30+209771314961696408710824664*x^28-1862\
6316444751675486090060*x^26+1347352649645298051880253*x^24-78763939094933775\
212720*x^22+3683980293296502046616*x^20-136130328769161485550*x^18+391039742\
2418693848*x^16-85520466037162020*x^14+1385983179562219*x^12-16067056247500*\
x^10+127164482892*x^8-644947830*x^6+1903260*x^4-2700*x^2+1
Common denominator of the automorphisms:
1566017206539137409723873782480050251670276640185932763502085001784611290214\
8882642438158511926429409590485621455067462476771511344493909530146249535580\
6126118246591891214340056699124690687641585773059685264183248701476628619095\
2804022512576371593953030251258478247960238927952859840191966771611427029418\
6258910395102554578294152241986898032132910385930312111417511538717077725153\
6027671389221596080532552362820438149460864316758155829534294513053642460662\
09726987553118361347472094135175403800
Complex polynomial:
x^108+20*x^107+290*x^106+4280*x^105+53015*x^104+367044*x^103+2679880*x^102+1\
2704736*x^101+65004473*x^100+163234220*x^99+1007472170*x^98+2746505168*x^97+\
20999458245*x^96+73807650044*x^95+349876755182*x^94+1201129197252*x^93+43522\
70714071*x^92+11314700460604*x^91+36086755162250*x^90+78415770778748*x^89+21\
6546198188429*x^88+431476513823932*x^87+1102332365272120*x^86+19661063728317\
52*x^85+5148306435880172*x^84+7468023495858488*x^83+20701079268168366*x^82+2\
5795780341280432*x^81+72821476187490357*x^80+87963552885216716*x^79+22993996\
5132293328*x^78+268177071173752400*x^77+640426893218290311*x^76+672558164252\
780116*x^75+1523895666449465704*x^74+1425478073782191136*x^73+31970861793602\
51258*x^72+2790974667675004536*x^71+6209595196704011510*x^70+521144746435611\
7064*x^69+11167133290023213706*x^68+8884609413674873804*x^67+180502158513514\
11392*x^66+13487640469185362788*x^65+26343739687826351570*x^64+1867754092812\
6156236*x^63+35688591796573690158*x^62+24279919096234825196*x^61+45119881439\
339890400*x^60+29493183931132170384*x^59+52316009037006156416*x^58+329840819\
98018311740*x^57+55489669941184187816*x^56+33916647942778461184*x^55+5442320\
7759221478944*x^54+32240152994181543232*x^53+49337207757997814260*x^52+28388\
544425707016852*x^51+40823751599994499446*x^50+23159470097771695764*x^49+306\
34007511663055053*x^48+17353054698006519432*x^47+20717968865288032358*x^46+1\
1639565936041063208*x^45+12429835283998045090*x^44+6815405064912085728*x^43+\
6519468145522830422*x^42+3442082864756276868*x^41+2981073738728312417*x^40+1\
496086701537234072*x^39+1189708494792732208*x^38+559953164046497924*x^37+413\
602410585763137*x^36+180605596803254044*x^35+125264895130917524*x^34+5039444\
2297868488*x^33+33276342023729026*x^32+12305072872166968*x^31+78123635620784\
48*x^30+2667905825708736*x^29+1628393781489816*x^28+519788754911660*x^27+303\
989971227896*x^26+92610755802560*x^25+51407374819212*x^24+15241888460788*x^2\
3+7772511165504*x^22+2209964319432*x^21+1006629042416*x^20+260323651688*x^19\
+109442773778*x^18+25043702068*x^17+10587189133*x^16+2313820432*x^15+9667589\
80*x^14+221789848*x^13+81836806*x^12+17499480*x^11+5706198*x^10+999148*x^9+3\
32315*x^8+51944*x^7+17850*x^6+3340*x^5+995*x^4+168*x^3+42*x^2+4*x+1
Common denominator of the automorphisms:
2011797601845054741009484013706160762134971265316278874996759262692509601532\
5491013450661858498568514856578979342572612488093528578498508427075309936409\
6852753002363004019822935830576976467104578559691426775035234034272091756550\
8354416033164316845135125776541914310827521313289577007538365006707766798739\
3462397199699444711909242203637919500815334008863544829905642595076271010216\
2934369315367086373040527819153451333309044338676179342367665378427311303942\
4216533605003411116196713826125364559412

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.