Group GAP4(64,157)

Name: (C8 : C4) : C2
Maximal quotients:GAP4(32,29) GAP4(32,40) GAP4(32,43)
Real polynomial:

x^64-192*x^62+17064*x^60-934272*x^58+35378052*x^56-986029632*x^54+2101640428\
8*x^52-351355789584*x^50+4688846699742*x^48-50569397740512*x^46+444645709508\
448*x^44-3206889926914896*x^42+19047384620901108*x^40-93384834967386144*x^38\
+378268179699893904*x^36-1265482352365010064*x^34+3491370270493007985*x^32-7\
922957811652485216*x^30+14733575288243997336*x^28-22341371958539166384*x^26+\
27450160698471670224*x^24-27110719348580318112*x^22+21305726310071948400*x^2\
0-13150785435600236832*x^18+6267096295798200552*x^16-2252982049078808448*x^1\
4+591319082698447968*x^12-107945670257581248*x^10+12690863839537920*x^8-8406\
61947847296*x^6+24468203729088*x^4-287176544640*x^2+987719184

Common denominator of the automorphisms:

2648909419565998587345039964876301402302748429040770646256278984635719890710\
3232

Complex polynomial:

x^64-184*x^56+8092*x^48+230648*x^40-341690*x^32+230648*x^24+8092*x^16-184*x^\
8+1

Common denominator of the automorphisms:

183894016

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