Group GAP4(96,102)

Name: (C2 x C4 x S3) : C2
Maximal quotients:GAP4(32,28) GAP4(48,36) GAP4(48,38) GAP4(48,41)
Real polynomial:
x^96-912*x^94+394032*x^92-107484032*x^90+20813645952*x^88-3050030931840*x^86\
+352079057459328*x^84-32904656803865088*x^82+2539480044492632448*x^80-164264\
161959695070208*x^78+9007683481322339552256*x^76-422524307777772882468864*x^\
74+17074847412095070668693504*x^72-597874519099120266253983744*x^70+18222264\
413453700081040564224*x^68-485204019202086782921362145280*x^66+1131962698671\
6220164268093403136*x^64-231896973892301738811030043754496*x^62+417861469199\
1452448899535379234816*x^60-66303884685010372019038274737668096*x^58+9270556\
65587628280979786186621976576*x^56-11424401965470762437962111829452783616*x^\
54+124063028147955660887012688951468097536*x^52-1186531545010412175516568460\
913977327616*x^50+9984382592209906053235809649047288938496*x^48-738205164370\
56545667101810361190443909120*x^46+47872662966190917511473488842252442035814\
4*x^44-2717211606261598568315225985496690662047744*x^42+13464248270171273472\
699752833179635756826624*x^40-58074099762787913157129366386478723297705984*x\
^38+217298924927313543502488571474382283788517376*x^36-702657282326236807016\
498405707095428592304128*x^34+1955077457596195349280797609495905044201996288\
*x^32-4658079913741336183839409767393731815887863808*x^30+945131962568855424\
5429362224810344512097353728*x^28-162303025399017081482670121629897483057994\
13760*x^26+23422793721196221428737779654900016542113595392*x^24-281770654768\
90770856034948221390877800815132672*x^22+27988974712319970263529649204406396\
330402906112*x^20-22701983622441456103428350614438362339409395712*x^18+14835\
767693551294655445749579144051071087804416*x^16-7684067333083926408397499221\
498555842145812480*x^14+3089447617657178204785988971491321971359088640*x^12-\
938106611786450441950493487634225688267980800*x^10+2069963960259124869253999\
89739564708764057600*x^8-31292092383423616513962132067226526679040000*x^6+29\
26574021031176225091326464367435710464000*x^4-135904379062853606614972834905\
147310080000*x^2+1350285521859049926233172461391708160000
Common denominator of the automorphisms:
1693751142136444436678761626345748409774905481280334938875480839898153361713\
5938512444605900628333835507693259144770508480068137573087574843504538041258\
5207271073750285154733459285387785916757351945519634522874015120478171835620\
392960000000
Complex polynomial:
x^96-9000*x^90+40500000*x^84-12393000*x^78+6408758556*x^72-29376936549000*x^\
66+4914500647500000*x^60-315392252193765000*x^54+9967532232454374726*x^48+25\
546772427694965000*x^42+32244038748247500000*x^36+15612108536537109000*x^30+\
275876041516494876*x^24+43211719081593000*x^18+11438396227480500000*x^12+205\
891132094649000*x^6+1853020188851841
Common denominator of the automorphisms:
438900851925118861814063010082732711488000

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.