Group GAP4(72,2)

Name: C72
Maximal quotients:GAP4(24,2) GAP4(36,2)
Real polynomial:
x^72-x^71-72*x^70+72*x^69+2483*x^68-2483*x^67-54603*x^66+54603*x^65+860014*x\
^64-860014*x^63-10330594*x^62+10330594*x^61+98402030*x^60-98402030*x^59-7629\
86290*x^58+762986290*x^57+4905611462*x^56-4905611462*x^55-26507867747*x^54+2\
6507867747*x^53+121584248524*x^52-121584248524*x^51-476864244794*x^50+476864\
244794*x^49+1607894850781*x^48-1607894850781*x^47-4678455652799*x^46+4678455\
652799*x^45+11775648207661*x^44-11775648207661*x^43-25671622647179*x^42+2567\
1622647179*x^41+48483828190366*x^40-48483828190366*x^39-79262956865909*x^38+\
79262956865909*x^37+111970109248636*x^36-111970109248636*x^35-13629738009305\
4*x^34+136297380093054*x^33+142418008884881*x^32-142418008884881*x^31-127108\
960676199*x^30+127108960676199*x^29+96295746714001*x^28-96295746714001*x^27-\
61447403199775*x^26+61447403199775*x^25+32715599554877*x^24-32715599554877*x\
^23-14365901822449*x^22+14365901822449*x^21+5129384345249*x^20-5129384345249\
*x^19-1463224503731*x^18+1463224503731*x^17+326197898135*x^16-326197898135*x\
^15-55246375617*x^14+55246375617*x^13+6849203831*x^12-6849203831*x^11-590819\
513*x^10+590819513*x^9+32962932*x^8-32962932*x^7-1061565*x^6+1061565*x^5+161\
34*x^4-16134*x^3-72*x^2+72*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^72+x^71+x^70+x^69+x^68+x^67+x^66+x^65+x^64+x^63+x^62+x^61+x^60+x^59+x^58+x\
^57+x^56+x^55+x^54+x^53+x^52+x^51+x^50+x^49+x^48+x^47+x^46+x^45+x^44+x^43+x^\
42+x^41+x^40+x^39+x^38+x^37+x^36+x^35+x^34+x^33+x^32+x^31+x^30+x^29+x^28+x^2\
7+x^26+x^25+x^24+x^23+x^22+x^21+x^20+x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12\
+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+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
Copyleft © 2002-2008 the PARI group.