Group GAP4(42,5)

Name: D42
Maximal quotients:GAP4(6,1) GAP4(14,1)
Real polynomial:
x^42-138*x^40+7801*x^38-246271*x^36+4926112*x^34-66778174*x^32+639022955*x^3\
0-4433418619*x^28+22711567911*x^26-87010772476*x^24+251415755961*x^22-550434\
791416*x^20+913703707740*x^18-1145768547593*x^16+1075882095240*x^14-74506875\
7925*x^12+371515839569*x^10-128535687927*x^8+29091880651*x^6-3892658177*x^4+\
251218575*x^2-4410625
Common denominator of the automorphisms:
6897205508918422555410399751396797680597040922608987249651933211431161750
Complex polynomial:
x^42-21*x^41+199*x^40-1110*x^39+4053*x^38-10811*x^37+27801*x^36-95490*x^35+3\
58981*x^34-1090975*x^33+2413311*x^32-3670020*x^31+3444882*x^30-1990398*x^29+\
5468534*x^28-26667760*x^27+78057165*x^26-162852921*x^25+272675507*x^24-38874\
8934*x^23+481341851*x^22-517327689*x^21+481341851*x^20-388748934*x^19+272675\
507*x^18-162852921*x^17+78057165*x^16-26667760*x^15+5468534*x^14-1990398*x^1\
3+3444882*x^12-3670020*x^11+2413311*x^10-1090975*x^9+358981*x^8-95490*x^7+27\
801*x^6-10811*x^5+4053*x^4-1110*x^3+199*x^2-21*x+1
Common denominator of the automorphisms:
70053429248

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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