Group GAP4(120,45)

Name: C2 x C10 x S3
Maximal quotients:GAP4(24,14) GAP4(40,14) GAP4(60,11)
Real polynomial:
x^120-900*x^118+356525*x^116-82688324*x^114+12611234438*x^112-1348313149104*\
x^110+105320765383963*x^108-6192914986513860*x^106+280539060338518624*x^104-\
9976167581869330752*x^102+282868606902956286478*x^100-6479906775051240934788\
*x^98+121273973037616787768885*x^96-1872068245197270533389412*x^94+240311485\
59153544496102116*x^92-258323718320933934820859196*x^90+23393659816059424676\
44200052*x^88-17939663996156045900600267932*x^86+117012829402454018784835594\
421*x^84-651632717456459549974638306848*x^82+3108372226964403598669395781076\
*x^80-12735876294771817314256096405160*x^78+44927843706244680102273839378565\
*x^76-136728818267550877682319477448588*x^74+3595735086746357799538409785003\
34*x^72-818268386177962162899320999975000*x^70+16131087831584146374261800035\
24701*x^68-2757148345400163238993248229443116*x^66+4088355913825696782659824\
245382344*x^64-5261275405151154855090396477994684*x^62+587691170250295194059\
9978435232530*x^60-5697527336733121853452055040670724*x^58+47925588308209653\
35450968058705241*x^56-3495886753504864703067006626851684*x^54+2209631292977\
430651178331807689065*x^52-1208966714456780397027410537268436*x^50+571863748\
366620025782494858115707*x^48-233503515337468479385927117804528*x^46+8215563\
4876497677609091143773883*x^44-24855318090533668853477996090320*x^42+6450605\
777129487126430256886347*x^40-1432182280730299080184628933312*x^38+271190305\
236044616886068517294*x^36-43643362356725201297339288096*x^34+59460594501502\
92410956365085*x^32-682791779472955425187240760*x^30+65754031993108877096042\
156*x^28-5280255448574866222792108*x^26+351265914440303870977691*x^24-192107\
45147136690915504*x^22+855946492984154907260*x^20-30732427458853464268*x^18+\
877281724964001592*x^16-19573245263998404*x^14+333817715913622*x^12-42231354\
20040*x^10+37986147221*x^8-228003172*x^6+824455*x^4-1500*x^2+1
Common denominator of the automorphisms:
1568635588921684155064167760562247399813918161014847184101358151555100046443\
6344106826861417902630535163651992692053340652866770817698383479468992721749\
4929229785435350786567219207106893775775247275541340053629168893836288717791\
0742987281779831758901160842863601049041750704874479855838252788
Complex polynomial:
x^120+188108*x^108+5235558438*x^96+8077161154468*x^84+436897935909025*x^72+5\
325554245703798*x^60+19564479666907732*x^48+7202640022477182*x^36+1263677779\
0824*x^24+219295984*x^12+1
Common denominator of the automorphisms:
1745386577905729483004856288512787159943591219901605965251799630937760672

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.