Group GAP4(64,175)

Name: C4 : Q16
Maximal quotients:GAP4(32,34) GAP4(32,41)
Real polynomial:
x^64-2296*x^62+2129540*x^60-1081834528*x^58+340117716337*x^56-70584878302256\
*x^54+10057938510252800*x^52-1009692185927486528*x^50+72656281945005503296*x\
^48-3793054120525360631040*x^46+144954107711368415400960*x^44-40859577005636\
24417664000*x^42+85582739036403587553961472*x^40-134223192128087760809712435\
2*x^38+15884652084432149911330570240*x^36-142882664643478999485346267136*x^3\
4+982850072492600182816432799744*x^32-5193525458570369691576741855232*x^30+2\
1137019392015621539601671782400*x^28-66293755958959054892639104270336*x^26+1\
59970637081151683857228110036992*x^24-295822742584913161659014279331840*x^22\
+416509882731411499405327529410560*x^20-442289921364132132249047295590400*x^\
18+349572981767287582670602104733696*x^16-201927092208093922458207105581056*\
x^14+83109685730354604000795007385600*x^12-23514365780238097109742946091008*\
x^10+4343863089024084317059869048832*x^8-486108749931967892773903794176*x^6+\
29576001721796993575446118400*x^4-860392777361367085831159808*x^2+8779518136\
340480467664896
Common denominator of the automorphisms:
8910783581011270644221592607106027487335835888766406630933620739480758434765\
0931378421327201921708053008246399565824000
Complex polynomial:
x^64+2296*x^62+2129540*x^60+1081834528*x^58+340117716337*x^56+70584878302256\
*x^54+10057938510252800*x^52+1009692185927486528*x^50+72656281945005503296*x\
^48+3793054120525360631040*x^46+144954107711368415400960*x^44+40859577005636\
24417664000*x^42+85582739036403587553961472*x^40+134223192128087760809712435\
2*x^38+15884652084432149911330570240*x^36+142882664643478999485346267136*x^3\
4+982850072492600182816432799744*x^32+5193525458570369691576741855232*x^30+2\
1137019392015621539601671782400*x^28+66293755958959054892639104270336*x^26+1\
59970637081151683857228110036992*x^24+295822742584913161659014279331840*x^22\
+416509882731411499405327529410560*x^20+442289921364132132249047295590400*x^\
18+349572981767287582670602104733696*x^16+201927092208093922458207105581056*\
x^14+83109685730354604000795007385600*x^12+23514365780238097109742946091008*\
x^10+4343863089024084317059869048832*x^8+486108749931967892773903794176*x^6+\
29576001721796993575446118400*x^4+860392777361367085831159808*x^2+8779518136\
340480467664896
Common denominator of the automorphisms:
8910783581011270644221592607106027487335835888766406630933620739480758434765\
0931378421327201921708053008246399565824000

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.