Group GAP4(64,72)
Name: (C2 x Q8) : C4
Maximal quotients:GAP4(32,22) GAP4(32,26) GAP4(32,29) GAP4(32,31) GAP4(32,35)
Real polynomial:
x^64-352*x^62+56672*x^60-5552448*x^58+371636980*x^56-18086756688*x^54+665223\
002928*x^52-18974084299808*x^50+427403006671322*x^48-7704192406908624*x^46+1\
12216470326244240*x^44-1330310348980083680*x^42+12903088574230709008*x^40-10\
2769098288357341632*x^38+673661882987772693696*x^36-3637973553341418490496*x\
^34+16180766501898110583779*x^32-59180898064624375689232*x^30+17746665366679\
8824919184*x^28-434334919774986312802016*x^26+862028451442222906839888*x^24-\
1375503311667753239076160*x^22+1744710939462342091310400*x^20-17334969356733\
58412858752*x^18+1323832851929091059583962*x^16-758382601132010875606256*x^1\
4+315907063212888364225712*x^12-91951190768474365421984*x^10+177662845693283\
91927380*x^8-2125450704569393879216*x^6+141892765818710833168*x^4-4411174066\
902927456*x^2+45949729863572161
Common denominator of the automorphisms:
283451686191408911657226512181765024269684229979502880359549370004603200
Complex polynomial:
x^64+352*x^62+56672*x^60+5552448*x^58+371636980*x^56+18086756688*x^54+665223\
002928*x^52+18974084299808*x^50+427403006671322*x^48+7704192406908624*x^46+1\
12216470326244240*x^44+1330310348980083680*x^42+12903088574230709008*x^40+10\
2769098288357341632*x^38+673661882987772693696*x^36+3637973553341418490496*x\
^34+16180766501898110583779*x^32+59180898064624375689232*x^30+17746665366679\
8824919184*x^28+434334919774986312802016*x^26+862028451442222906839888*x^24+\
1375503311667753239076160*x^22+1744710939462342091310400*x^20+17334969356733\
58412858752*x^18+1323832851929091059583962*x^16+758382601132010875606256*x^1\
4+315907063212888364225712*x^12+91951190768474365421984*x^10+177662845693283\
91927380*x^8+2125450704569393879216*x^6+141892765818710833168*x^4+4411174066\
902927456*x^2+45949729863572161
Common denominator of the automorphisms:
283451686191408911657226512181765024269684229979502880359549370004603200
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.