Group GAP4(78,6)

Name: C78
Maximal quotients:GAP4(6,2) GAP4(26,2) GAP4(39,2)
Real polynomial:
x^78-x^77-78*x^76+78*x^75+2924*x^74-2924*x^73-70151*x^72+70151*x^71+1210123*\
x^70-1210123*x^69-15987071*x^68+15987071*x^67+168234925*x^66-168234925*x^65-\
1448093778*x^64+1448093778*x^63+10389806582*x^62-10389806582*x^61-6300517565\
0*x^60+63005175650*x^59+326307338798*x^58-326307338798*x^57-1454745367674*x^\
56+1454745367674*x^55+5616299705782*x^54-5616299705782*x^53-18860394779258*x\
^52+18860394779258*x^51+55269022804006*x^50-55269022804006*x^49-141637242651\
539*x^48+141637242651539*x^47+317810710078066*x^46-317810710078066*x^45-6246\
24274553249*x^44+624624274553249*x^43+1074848648552401*x^42-1074848648552401\
*x^41-1617474245420234*x^40+1617474245420234*x^39+2124398251287496*x^38-2124\
398251287496*x^37-2428520500864274*x^36+2428520500864274*x^35+24075941545313\
86*x^34-2407594154531386*x^33-2060555255345039*x^32+2060555255345039*x^31+15\
13964272556101*x^30-1513964272556101*x^29-948482513331351*x^28+9484825133313\
51*x^27+502538379368657*x^26-502538379368657*x^25-222972066981347*x^24+22297\
2066981347*x^23+81864255014453*x^22-81864255014453*x^21-24513109764771*x^20+\
24513109764771*x^19+5880423029293*x^18-5880423029293*x^17-1105187330633*x^16\
+1105187330633*x^15+158167734460*x^14-158167734460*x^13-16604705375*x^12+166\
04705375*x^11+1215229667*x^10-1215229667*x^9-57622836*x^8+57622836*x^7+15796\
06*x^6-1579606*x^5-20460*x^4+20460*x^3+80*x^2-80*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^78+x^77+x^76+x^75+x^74+x^73+x^72+x^71+x^70+x^69+x^68+x^67+x^66+x^65+x^64+x\
^63+x^62+x^61+x^60+x^59+x^58+x^57+x^56+x^55+x^54+x^53+x^52+x^51+x^50+x^49+x^\
48+x^47+x^46+x^45+x^44+x^43+x^42+x^41+x^40+x^39+x^38+x^37+x^36+x^35+x^34+x^3\
3+x^32+x^31+x^30+x^29+x^28+x^27+x^26+x^25+x^24+x^23+x^22+x^21+x^20+x^19+x^18\
+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1
Common denominator of the automorphisms:
1

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
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