Group GAP4(84,12)

Name: C6 x D14
Maximal quotients:GAP4(12,5) GAP4(28,3) GAP4(42,4)
Real polynomial:
x^84-1062*x^82+389145*x^80-66954154*x^78+6362213202*x^76-378523232052*x^74+1\
5276277771453*x^72-440241256983537*x^70+9373736635530948*x^68-15094593613677\
8714*x^66+1868677417662981030*x^64-17994533768170902222*x^62+135935852620019\
483306*x^60-810671323813356675672*x^58+3834925215978533638413*x^56-144463343\
57067599873276*x^54+43485138678670977542409*x^52-104945251626023703062310*x^\
50+203768260094755742403480*x^48-319483195701624590092128*x^46+4059746389520\
15531760090*x^44-419574284460076436215854*x^42+353763073037348108296020*x^40\
-243933344688191291288298*x^38+137785732335689957105775*x^36-638020662031638\
64167804*x^34+24212538037547009329491*x^32-7519685829617839139114*x^30+19060\
07663456139491433*x^28-392615633402167955316*x^26+65327269696849966475*x^24-\
8707857057156044547*x^22+919667780762668860*x^20-75852752042461748*x^18+4794\
975267295500*x^16-226819784314053*x^14+7794240498739*x^12-187907350806*x^10+\
3059067981*x^8-32162494*x^6+205038*x^4-708*x^2+1
Common denominator of the automorphisms:
3013399396236933120161018389188197526010852940862905486355744698646528677877\
397844736723402822122314447594501756621003539
Complex polynomial:
x^84+3*x^81-38*x^78+859*x^75+1937*x^72-27631*x^69+81200*x^66-226235*x^63+654\
175*x^60-987628*x^57+833119*x^54-1146966*x^51+1038740*x^48+1262508*x^45-2884\
567*x^42+1262508*x^39+1038740*x^36-1146966*x^33+833119*x^30-987628*x^27+6541\
75*x^24-226235*x^21+81200*x^18-27631*x^15+1937*x^12+859*x^9-38*x^6+3*x^3+1
Common denominator of the automorphisms:
345312954274158376886882222000203

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