Group GAP4(64,267)

Name: C2 x C2 x C2 x C2 x C2 x C2
Maximal quotient:GAP4(32,51)
Real polynomial:

x^64-416*x^62+79656*x^60-9352752*x^58+756640524*x^56-44920399056*x^54+203490\
1059544*x^52-72194133638480*x^50+2042745681163350*x^48-46699693365424720*x^4\
6+870631633619054072*x^44-13323239180423884272*x^42+168084762937592884172*x^\
40-1752646573148960069104*x^38+15119289262335319108008*x^36-1078558945980016\
17154672*x^34+635108568990747209939633*x^32-3077349704126598751058640*x^30+1\
2214156879618427647704800*x^28-39472976240735349889100320*x^26+1030786797551\
04460743470496*x^24-215446770548958287594992256*x^22+35621599523882024228512\
9216*x^20-459180581454276956076989952*x^18+453181600929992335945238784*x^16-\
334610682284159416959830016*x^14+179307697630422456431345664*x^12-6689553654\
3916886264053760*x^10+16361573846802148562944000*x^8-23895121368096399360000\
00*x^6+178287229423897804800000*x^4-5361707919104409600000*x^2+5417148417638\
4000000

Common denominator of the automorphisms:

2463289901496126031663829015644393474487575332511601450950432109550707143680\
0000000000

Complex polynomial:

x^64-1519*x^60-968064*x^56-3849809803*x^52+9759302676037*x^48-14999675749309\
44*x^44-62798884572743478*x^40-40319864258633131158*x^36+1051289554578535461\
6576*x^32-264538629400891973527638*x^28-2703286063314092702035638*x^24-42363\
5146924276149503768064*x^20+18084184887812358985814034117*x^16-4680469966587\
1859633162836203*x^12-77219021950769509388364703104*x^8-79496505456856065602\
7324000399*x^4+3433683820292512484657849089281

Common denominator of the automorphisms:

2003164968828725286961006176037453805891342093630592928614029721600000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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