Group GAP4(84,7)

Name: C2 x ((C7 : C3) : C2)
Maximal quotients:GAP4(12,5) GAP4(42,1)
Real polynomial:

x^84-210*x^82+20384*x^80-1219848*x^78+50647492*x^76-1556569112*x^74+36889104\
784*x^72-693331500132*x^70+10547084696036*x^68-131859864892728*x^66+13708768\
71410704*x^64-11961926684350328*x^62+88246941605018448*x^60-5536401353795338\
88*x^58+2967595253750930940*x^56-13640553891404919248*x^54+53921389480951511\
232*x^52-183714890227966273120*x^50+540345651738763905888*x^48-1373394275790\
784748928*x^46+3018183299542190402112*x^44-5735079378652667242464*x^42+94184\
59166265618009632*x^40-13355181330313975243840*x^38+16326666973995045810240*\
x^36-17171731308096789932480*x^34+15495315641942227519232*x^32-1195425471959\
8372886656*x^30+7849647485715012286192*x^28-4362893089699431217056*x^26+2038\
431619529965361408*x^24-793725254210502311936*x^22+254795200596939078720*x^2\
0-66509691454581289600*x^18+13869377812056994304*x^16-2257426938388791872*x^\
14+277976062567090496*x^12-24805904504694656*x^10+1509176676557312*x^8-57306\
989720960*x^6+1201143546624*x^4-12210297344*x^2+45265984

Common denominator of the automorphisms:

8378055236221622926019717264755621153987017773444786016185580961138188105628\
0826019527986507003701493120687471169663307076840093712804902636234318932487\
8488194036608734296023662288960350340152815401899497843400345345912281333811\
20

Complex polynomial:

x^84-245*x^70+57526*x^56-612241*x^42+6243286*x^28-17493*x^14+49

Common denominator of the automorphisms:

971686302496

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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