Group GAP4(72,36)

Name: C12 x C6
Maximal quotients:GAP4(24,9) GAP4(36,8) GAP4(36,14)
Real polynomial:
x^72-72*x^70+x^69+2484*x^68-69*x^67-54671*x^66+2277*x^65+862224*x^64-47840*x\
^63-10376289*x^62+718704*x^61+99077054*x^60-8220177*x^59-770571093*x^58+7441\
6522*x^57+4972999257*x^56-547321467*x^55-26993718115*x^54+3331033146*x^53+12\
4479072486*x^52-17000587879*x^51-491306998662*x^50+73476915432*x^49+16688136\
79469*x^48-270872460108*x^47-4897205936106*x^46+856167646393*x^45+1244765459\
6964*x^44-2328528992679*x^43-27443496574725*x^42+5461203506445*x^41+52500952\
102941*x^40-11056334445021*x^39-87098284810287*x^38+19319766254568*x^37+1251\
09667950999*x^36-29103919891056*x^35-155208083725530*x^34+37712937420744*x^3\
3+165707112011598*x^32-41895721795689*x^31-151548801440385*x^30+397213256896\
83*x^29+118030190944293*x^28-31952916930111*x^27-77712639288093*x^26+2164842\
0345672*x^25+42869852624871*x^24-12240159661116*x^23-19597701765240*x^22+571\
0424104494*x^21+7324997343003*x^20-2167630139547*x^19-2201715621659*x^18+657\
947982438*x^17+521336717325*x^16-156263671594*x^15-94753932138*x^14+28252464\
729*x^13+12784381309*x^12-3753266634*x^11-1224948351*x^10+349539774*x^9+7839\
6714*x^8-21373605*x^7-3064888*x^6+777762*x^5+63888*x^4-14288*x^3-576*x^2+96*\
x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^72+x^71-x^65-x^64-x^59+x^57+x^52-x^50+x^46+x^43-x^39-x^36-x^33+x^29+x^26-x\
^22+x^20+x^15-x^13-x^8-x^7+x+1
Common denominator of the automorphisms:
1

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