Group GAP4(84,14)

Name: D84
Maximal quotients:GAP4(12,4) GAP4(28,3) GAP4(42,5)
Real polynomial:
x^84-42*x^83+595*x^82-574*x^81-73125*x^80+662292*x^79+1540180*x^78-54539706*\
x^77+186463282*x^76+1896270186*x^75-15689845032*x^74-16065407696*x^73+584346\
318248*x^72-1264027816800*x^71-12359872690313*x^70+62356354314474*x^69+12599\
4762000067*x^68-1530184052378196*x^67+840720383433893*x^66+23985016798216822\
*x^65-56331226377102351*x^64-241522797038559048*x^63+1118177052899633764*x^6\
2+1179601249515459348*x^61-14012115070345403799*x^60+7171096612597127190*x^5\
9+122541500068881446859*x^58-214148296632823512992*x^57-73699604188540303888\
1*x^56+2433454066818857135174*x^55+2504318569368037826305*x^54-1827745740815\
8861720308*x^53+3006381886415337040371*x^52+98902851703979036509274*x^51-105\
234556601920957404025*x^50-383669356115533695790188*x^49+7913435890939289622\
02860*x^48+954084325180340666669126*x^47-3791148610113376713130277*x^46-5777\
94586435712004001080*x^45+13016594049798978394078644*x^44-729138106483971983\
8460236*x^43-32320778386002679387939266*x^42+40365915996091905465162798*x^41\
+53955887370007549495614778*x^40-124590446405770741069446676*x^39-3992514814\
9744518722464650*x^38+264600124928047206624595470*x^37-747915289216662220427\
46941*x^36-396578205333438082350317200*x^35+319340109913045130091966718*x^34\
+392871162779944982768231086*x^33-600070425314876022837552721*x^32-177652778\
132396329972808014*x^31+724022458965867696087009709*x^30-1460069894044808556\
78135962*x^29-581556453669738229629563433*x^28+357514605237262546360747040*x\
^27+282880498153210936175883613*x^26-344156262306952654003147468*x^25-411796\
92085759998888800166*x^24+197772760695645824973356410*x^23-47398392108580724\
572004012*x^22-68392542545995539705720150*x^21+38908705702462227711914182*x^\
20+11212597002661762261764518*x^19-14434511013630236607188964*x^18+965234798\
202196168064264*x^17+2935194688258879628291336*x^16-870896505028559518946540\
*x^15-283295649974221978397506*x^14+177361068163729212541296*x^13-1500528107\
503125529893*x^12-16504022501137293052642*x^11+2820096600107877161156*x^10+5\
91259174082073249214*x^9-219302145321655505870*x^8+6817994204563356664*x^7+5\
089724212176236139*x^6-714310539353838680*x^5+18389015628535233*x^4+21410160\
51497056*x^3-118228107102168*x^2-478988444044*x+82286829361
Common denominator of the automorphisms:
5394379640561966308706202318050299156793201870563218008444993127434127616879\
9313133626108326613417777622736066442345041049209701069934408971986260757223\
4728772252501970226032724329577643094133483391916356607352850562513056555236\
9731374273554047592869253384080178428801724616130231532439663266440513753060\
098817040862250
Complex polynomial:
x^84-119*x^81+5523*x^78-115752*x^75+1504181*x^72-14485975*x^69+110553184*x^6\
6-625832018*x^63+2641123226*x^60-8466362387*x^57+21352371607*x^54-4330032777\
7*x^51+71965759467*x^48-98055399722*x^45+109003897497*x^42-98055399722*x^39+\
71965759467*x^36-43300327777*x^33+21352371607*x^30-8466362387*x^27+264112322\
6*x^24-625832018*x^21+110553184*x^18-14485975*x^15+1504181*x^12-115752*x^9+5\
523*x^6-119*x^3+1
Common denominator of the automorphisms:
1225862879700492407617386120406688592076681640625

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.