Group GAP4(30,1)

Name: C5 x S3
Maximal quotients:GAP4(6,1) GAP4(10,2)
Real polynomial:
x^30-90*x^28+3645*x^26-87843*x^24+1403946*x^22-15703632*x^20+126470529*x^18-\
743306868*x^16+3196751022*x^14-9990252234*x^12+22283365842*x^10-34315217541*\
x^8+34383878892*x^6-19986796170*x^4+5058826245*x^2-1414017
Common denominator of the automorphisms:
17465203962
Complex polynomial:
x^30-6*x^29+20*x^28-45*x^27+76*x^26-101*x^25+115*x^24-131*x^23+176*x^22-253*\
x^21+320*x^20-297*x^19+138*x^18+130*x^17-381*x^16+487*x^15-381*x^14+130*x^13\
+138*x^12-297*x^11+320*x^10-253*x^9+176*x^8-131*x^7+115*x^6-101*x^5+76*x^4-4\
5*x^3+20*x^2-6*x+1
Common denominator of the automorphisms:
17071

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