Group GAP4(48,1)

Name: C3 : C16
Maximal quotients:GAP4(16,1) GAP4(24,1)
Real polynomial:
x^48-374*x^46+62084*x^44-6070768*x^42+391981920*x^40-17785052384*x^38+589899\
680128*x^36-14701832790656*x^34+280875049067008*x^32-4174231334929920*x^30+4\
8769023392483328*x^28-451133923690835968*x^26+3317642061717372928*x^24-19419\
863453225320448*x^22+90333988791525326848*x^20-332376253334249603072*x^18+95\
9584711083688132608*x^16-2147420535716555128832*x^14+3660364375429481758720*\
x^12-4635762606784402948096*x^10+4209802913850989740032*x^8-2600934179712201\
129984*x^6+1007124119610653147136*x^4-212026130444348030976*x^2+176688442036\
95669248
Common denominator of the automorphisms:
69534877578686234324617744410336781171651772416
Complex polynomial:
x^48-10*x^47+59*x^46-230*x^45+704*x^44-1648*x^43+2754*x^42+1309*x^41-28338*x\
^40+109759*x^39-187808*x^38-10957*x^37+899562*x^36-2343806*x^35+2993190*x^34\
+16847*x^33-2929626*x^32-4477290*x^31+17996329*x^30-7019467*x^29+20405476*x^\
28-16527465*x^27-51432402*x^26-69497241*x^25+163270704*x^24-99272435*x^23+13\
3304150*x^22-48073022*x^21+79857230*x^20-10583636*x^19+24918831*x^18+6486673\
*x^17+9908536*x^16+2984316*x^15+3486530*x^14+1968567*x^13+1302292*x^12+49198\
8*x^11+185631*x^10+43187*x^9+7345*x^8-3485*x^7-2975*x^6-1121*x^5-163*x^4+25*\
x^3+25*x^2+7*x+1
Common denominator of the automorphisms:
503205943609602363457693905107

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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