Group GAP4(72,45)

Name: C2 x ((C3 x C3) : C4)
Maximal quotients:GAP4(8,2) GAP4(36,9)
Real polynomial:
x^72-288*x^70+38412*x^68-3155616*x^66+179216964*x^64-7489248120*x^62+2394039\
03168*x^60-6010568757720*x^58+120792301910352*x^56-1970986790092992*x^54+264\
00127571099856*x^52-292765202723392992*x^50+2705992879692487776*x^48-2095391\
3798928543840*x^46+136457745950697322176*x^44-749323753030946252928*x^42+347\
4825248340698841792*x^40-13613290527378020549760*x^38+4502452302741153717452\
8*x^36-125479592945820982445184*x^34+293745518090907312013056*x^32-575009125\
082882338295808*x^30+935459093121204957048576*x^28-1254738341801900330371584\
*x^26+1373453614759792140105984*x^24-1211004536147451176882688*x^22+84592091\
3342978584885248*x^20-458241004324725858560000*x^18+187235246589550187323392\
*x^16-55632670873380038615040*x^14+11448608945773014564864*x^12-152898091410\
4369938432*x^10+121568096026538016768*x^8-5078615990448685056*x^6+9019509445\
1257344*x^4-649479308967936*x^2+1401249857536
Common denominator of the automorphisms:
1133036617823674127917021279342996982103524541114296820039546736708562684301\
8479361885120285206792271428536099395382717052330720407564543115710437234228\
76133490688
Complex polynomial:
x^72-13*x^70+319*x^68-1821*x^66+26356*x^64+458441*x^62+3622668*x^60+18165056\
*x^58+59748857*x^56+38809166*x^54+595366127*x^52+785878604*x^50-1524340623*x\
^48+6578559190*x^46+3106262803*x^44-20496918214*x^42+97869646143*x^40-165938\
123216*x^38+157949656313*x^36-165938123216*x^34+97869646143*x^32-20496918214\
*x^30+3106262803*x^28+6578559190*x^26-1524340623*x^24+785878604*x^22+5953661\
27*x^20+38809166*x^18+59748857*x^16+18165056*x^14+3622668*x^12+458441*x^10+2\
6356*x^8-1821*x^6+319*x^4-13*x^2+1
Common denominator of the automorphisms:
3705919953358343364493957841332512483954425687234604600000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.