Group GAP4(64,57)
Name: (C4 x C4) : C4
Maximal quotients:GAP4(32,21) GAP4(32,24)
Real polynomial:
x^64-448*x^62+95648*x^60-12951680*x^58+1248857985*x^56-91269993864*x^54+5253\
930023692*x^52-244406384312272*x^50+9353272260768870*x^48-298234653828989920\
*x^46+7995410797350267536*x^44-181373493593596662848*x^42+349608266919166268\
1053*x^40-57398939019058845670840*x^38+803315498508619909898260*x^36-9576957\
930055581781102576*x^34+97049134709256086490994598*x^32-83288631871127068602\
7312448*x^30+6021551702397512792741772640*x^28-36413485945150664333428932480\
*x^26+182483995645573953776587865273*x^24-748977221323245529312670818664*x^2\
2+2480372012155397852922420967004*x^20-6504533931088336915545285197840*x^18+\
13191865980568906298963110899545*x^16-20084143689915738466440338999536*x^14+\
22104631499680434842320343240808*x^12-16757442021000175412667266573728*x^10+\
8208510795340647917115496501160*x^8-2376922278762342736885074677440*x^6+3568\
11049334861248126602219232*x^4-21957102255302349977451985536*x^2+38762298722\
5212775141432336
Common denominator of the automorphisms:
27948241568711763481170076452665269460324352000
Complex polynomial:
x^64+448*x^62+95648*x^60+12951680*x^58+1248857985*x^56+91269993864*x^54+5253\
930023692*x^52+244406384312272*x^50+9353272260768870*x^48+298234653828989920\
*x^46+7995410797350267536*x^44+181373493593596662848*x^42+349608266919166268\
1053*x^40+57398939019058845670840*x^38+803315498508619909898260*x^36+9576957\
930055581781102576*x^34+97049134709256086490994598*x^32+83288631871127068602\
7312448*x^30+6021551702397512792741772640*x^28+36413485945150664333428932480\
*x^26+182483995645573953776587865273*x^24+748977221323245529312670818664*x^2\
2+2480372012155397852922420967004*x^20+6504533931088336915545285197840*x^18+\
13191865980568906298963110899545*x^16+20084143689915738466440338999536*x^14+\
22104631499680434842320343240808*x^12+16757442021000175412667266573728*x^10+\
8208510795340647917115496501160*x^8+2376922278762342736885074677440*x^6+3568\
11049334861248126602219232*x^4+21957102255302349977451985536*x^2+38762298722\
5212775141432336
Common denominator of the automorphisms:
27948241568711763481170076452665269460324352000
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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