Group GAP4(72,29)

Name: C6 x (C3 : C4)
Maximal quotients:GAP4(24,7) GAP4(24,9) GAP4(36,6) GAP4(36,12)
Real polynomial:
x^72-99*x^70+4554*x^68-129606*x^66+2563743*x^64-37542546*x^62+423260475*x^60\
-3772341426*x^58+27081695205*x^56-158767293142*x^54+767905486872*x^52-308779\
6413816*x^50+10381775844804*x^48-29308699931277*x^46+69678068381991*x^44-139\
759028967165*x^42+236729432150217*x^40-338650123470435*x^38+408857954273207*\
x^36-415988502245319*x^34+355889617147359*x^32-255256838487288*x^30+15290482\
8129687*x^28-76142547493101*x^26+31345030935072*x^24-10596415324188*x^22+291\
8621723436*x^20-648867748637*x^18+115132930095*x^16-16080845040*x^14+1737521\
502*x^12-141972132*x^10+8504334*x^8-356955*x^6+9771*x^4-153*x^2+1
Common denominator of the automorphisms:
1365408017647797553319475217140915999277399230243384631946777335254821397803\
96797318
Complex polynomial:
x^72-18*x^69+396*x^66-5184*x^63+30672*x^60-4017600*x^57+44492544*x^54-815391\
360*x^51+3788591616*x^48+149565325824*x^45+1513833421824*x^42+23149233616896\
*x^39+41870061858816*x^36+957884359827456*x^33+13005883926724608*x^30+107442\
758336937984*x^27+1028719611073658880*x^24+411364347666628608*x^21+110439505\
232658432*x^18+22251614685364224*x^15+3093701103452160*x^12+1237108937195520\
*x^9+332124741697536*x^6+66870753361920*x^3+8916100448256
Common denominator of the automorphisms:
83507007001976389374516188580743951155200

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