Group GAP4(64,106)
Name: C2 x (C8 : C4)
Maximal quotients:GAP4(32,13) GAP4(32,23) GAP4(32,40)
Real polynomial:
x^64-192*x^62+17568*x^60-1019520*x^58+42131832*x^56-1319677632*x^54+32561180\
064*x^52-649332567936*x^50+10655237856006*x^48-145737217475424*x^46+16769468\
70391248*x^44-16341354654769728*x^42+135474316264091448*x^40-958235173390845\
504*x^38+5790968608518363744*x^36-29905362402285833856*x^34+1318234052211806\
24235*x^32-494869068706151114784*x^30+1576593183288719752560*x^28-4242176184\
967767797184*x^26+9580122301816188143784*x^24-18013770599805641855808*x^22+2\
7921735274083086488032*x^20-35231724063038645292672*x^18+3562072756937635456\
0998*x^16-28278886845185479346976*x^14+17169834379291605290736*x^12-76967206\
93960869917376*x^10+2425888099610952108048*x^8-500637351259327724928*x^6+603\
49330973988209088*x^4-3371617514950486272*x^2+34815185860181841
Common denominator of the automorphisms:
705306591691198413087600
Complex polynomial:
x^64+192*x^62+17568*x^60+1019520*x^58+42131832*x^56+1319677632*x^54+32561180\
064*x^52+649332567936*x^50+10655237856006*x^48+145737217475424*x^46+16769468\
70391248*x^44+16341354654769728*x^42+135474316264091448*x^40+958235173390845\
504*x^38+5790968608518363744*x^36+29905362402285833856*x^34+1318234052211806\
24235*x^32+494869068706151114784*x^30+1576593183288719752560*x^28+4242176184\
967767797184*x^26+9580122301816188143784*x^24+18013770599805641855808*x^22+2\
7921735274083086488032*x^20+35231724063038645292672*x^18+3562072756937635456\
0998*x^16+28278886845185479346976*x^14+17169834379291605290736*x^12+76967206\
93960869917376*x^10+2425888099610952108048*x^8+500637351259327724928*x^6+603\
49330973988209088*x^4+3371617514950486272*x^2+34815185860181841
Common denominator of the automorphisms:
705306591691198413087600
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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