Group GAP4(63,2)
Name: C63
Maximal quotients:GAP4(9,1) GAP4(21,2)
Real polynomial:
x^63+x^62-62*x^61-61*x^60+1830*x^59+1770*x^58-34220*x^57-32509*x^56+455126*x\
^55+424270*x^54-4582116*x^53-4187106*x^52+36288252*x^51+32468436*x^50-231917\
400*x^49-202927725*x^48+1217566350*x^47+1040465790*x^46-5317936260*x^45-4431\
613550*x^44+19499099620*x^43+15820024220*x^42-60403728840*x^41-47626016970*x\
^40+158753389900*x^39+121399651100*x^38-354860518600*x^37-262596783764*x^36+\
675248872536*x^35+482320623240*x^34-1093260079344*x^33-751616304549*x^32+150\
3232609098*x^31+991493848554*x^30-1749695026860*x^29-1103068603890*x^28+1715\
884494940*x^27+1029530696964*x^26-1408831480056*x^25-800472431850*x^24+96056\
6918220*x^23+513791607420*x^22-538257874440*x^21-269128937220*x^20+244662670\
200*x^19+113380261800*x^18-88732378800*x^17-37711260990*x^16+25140840660*x^1\
5+9669554100*x^14-5414950296*x^13-1852482996*x^12+854992152*x^11+254186856*x\
^10-94143280*x^9-23535820*x^8+6724520*x^7+1344904*x^6-278256*x^5-40920*x^4+5\
456*x^3+496*x^2-32*x-1
Common denominator of the automorphisms:
1
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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