Group GAP4(38,1)
Name: D38
Maximal quotient:GAP4(2,1)
Real polynomial:
x^38-260*x^36+30296*x^34-2097834*x^32+96504800*x^30-3123664344*x^28+73511899\
785*x^26-1281934489836*x^24+16729649136752*x^22-163888743079040*x^20+1201820\
967097600*x^18-6541838959866880*x^16+26050762483191808*x^14-7423304095842304\
0*x^12+146421951675957248*x^10-189732665927925760*x^8+147499745912291328*x^6\
-57017424276357120*x^4+6206091377508352*x^2-78292958838784
Common denominator of the automorphisms:
5996771645293447866223795516990734938939409619712317166732396081702202807374\
839808
Complex polynomial:
x^38-x^37+13*x^36-34*x^35+107*x^34-328*x^33+787*x^32-1942*x^31+4277*x^30-875\
5*x^29+17101*x^28-30506*x^27+51962*x^26-82462*x^25+120938*x^24-169560*x^23+2\
20082*x^22-261083*x^21+295732*x^20-312297*x^19+295732*x^18-261083*x^17+22008\
2*x^16-169560*x^15+120938*x^14-82462*x^13+51962*x^12-30506*x^11+17101*x^10-8\
755*x^9+4277*x^8-1942*x^7+787*x^6-328*x^5+107*x^4-34*x^3+13*x^2-x+1
Common denominator of the automorphisms:
32251501602759257
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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