Group GAP4(78,3)

Name: C13 x S3
Maximal quotients:GAP4(6,1) GAP4(26,2)
Real polynomial:
x^78-2832*x^76+2787984*x^74-1281088444*x^72+315392698080*x^70-45224079908832\
*x^68+3987371639163632*x^66-225824225331951744*x^64+8564395890558547584*x^62\
-226153825721749175872*x^60+4306697247330291020544*x^58-60935180845810581467\
136*x^56+656430300546199298328064*x^54-5491343828758026916279296*x^52+362450\
53931317556746586112*x^50-191203264558120077945566208*x^48+81467112242601198\
3270088704*x^46-2827836675336528715701952512*x^44+80535721087321207046568796\
16*x^42-18927737937352400392555118592*x^40+36880941748500863007984746496*x^3\
8-59794233478169150221064568832*x^36+80871577296138467053036437504*x^34-9139\
1849437704165564514762752*x^32+86348236532120040912756342784*x^30-6817717533\
7793837055457886208*x^28+44914177554528083509918826496*x^26-2461919754197359\
3358376632320*x^24+11181471452963100829129113600*x^22-4183664373686675332399\
104000*x^20+1279756709672239932375040000*x^18-316878100534941450240000000*x^\
16+62700909432503795712000000*x^14-9750842836242268160000000*x^12+1165955956\
310016000000000*x^10-104062005116928000000000*x^8+6644364083200000000000*x^6\
-284128051200000000000*x^4+7225344000000000000*x^2-81920000000000000
Common denominator of the automorphisms:
1759426782327304408624554463187640902343510671919030337320234696016589752500\
9211808345333847231914669526306225545835315448205228307167674383475398491039\
2049716862720771772197315282207084693329129359095769165053454055178745427326\
4681812959127438160378860267077806620577290270753223267878681043146105014078\
0888717573860101180474273126744754422815426914379087872000000000000
Complex polynomial:
x^78+12828*x^72+50246766*x^66+70518069072*x^60+41011204789359*x^54+935638771\
0573233*x^48+524700686688863994*x^42+8328624346616400945*x^36+45547299297144\
488853*x^30+61503008964936770754*x^24+24199940408514478677*x^18+727654867343\
27181*x^12+3099886318503*x^6+1594323
Common denominator of the automorphisms:
2909725409588948083365644119782706351257169250346480643618526159005287675335\
9496448140071718483951906211499390802

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.