Group GAP4(108,14)
Name: C4 x (C9 : C3)
Maximal quotients:GAP4(36,8) GAP4(54,11)
Real polynomial:
x^108-436*x^106+79442*x^104-8407000*x^102+593437904*x^100-30169465760*x^98+1\
159938430392*x^96-34889281089568*x^94+841669754969680*x^92-16597262360093376\
*x^90+271558276044630688*x^88-3731026945302616960*x^86+43468790515650848128*\
x^84-432924086172188610048*x^82+3710592881677247269376*x^80-2752386464138484\
4782080*x^78+177524214168681931669760*x^76-999565883086884257998848*x^74+492\
9714792679645790209536*x^72-21355392678492617668347904*x^70+8144940773474406\
6217847808*x^68-274036470795558349863071744*x^66+814631514827807278188599296\
*x^64-2142406195125545054288896000*x^62+4989543597336175245443858432*x^60-10\
298000026130044140141805568*x^58+18844398394303899458540052480*x^56-30580560\
410386304008801517568*x^54+44007916854837547881879207936*x^52-56145626501501\
800985485574144*x^50+63469050653171770875068776448*x^48-63519331547107693018\
028048384*x^46+56214687508454841309299408896*x^44-43928656929090198795406802\
944*x^42+30254566008750580124611379200*x^40-18322595170190065826653536256*x^\
38+9730599382940501353345843200*x^36-4516700569120060639836897280*x^34+18253\
35039934103281015455744*x^32-639314556215344772134469632*x^30+19302064321101\
0783669387264*x^28-49920113163882638696513536*x^26+1097798200157636206893465\
6*x^24-2035020522316385319124992*x^22+314730283910200960221184*x^20-40111223\
523273896624128*x^18+4149630682038035021824*x^16-341983327297237680128*x^14+\
21914811745884438528*x^12-1057068963357261824*x^10+36657450811654144*x^8-852\
504568922112*x^6+11834983710720*x^4-78114717696*x^2+134217728
Common denominator of the automorphisms:
1675823607563601633400777512181155325791756677033940079680656034692520946829\
2183474185300039454100101660450368059185301481673240028210223248935262611298\
0043771760520826697908676888115695383740770132084174932814412801176032795591\
7640672940597229999129004604903579069764394813218888244113213866981443209206\
8511744
Complex polynomial:
x^108+436*x^106+79442*x^104+8407000*x^102+593437904*x^100+30169465760*x^98+1\
159938430392*x^96+34889281089568*x^94+841669754969680*x^92+16597262360093376\
*x^90+271558276044630688*x^88+3731026945302616960*x^86+43468790515650848128*\
x^84+432924086172188610048*x^82+3710592881677247269376*x^80+2752386464138484\
4782080*x^78+177524214168681931669760*x^76+999565883086884257998848*x^74+492\
9714792679645790209536*x^72+21355392678492617668347904*x^70+8144940773474406\
6217847808*x^68+274036470795558349863071744*x^66+814631514827807278188599296\
*x^64+2142406195125545054288896000*x^62+4989543597336175245443858432*x^60+10\
298000026130044140141805568*x^58+18844398394303899458540052480*x^56+30580560\
410386304008801517568*x^54+44007916854837547881879207936*x^52+56145626501501\
800985485574144*x^50+63469050653171770875068776448*x^48+63519331547107693018\
028048384*x^46+56214687508454841309299408896*x^44+43928656929090198795406802\
944*x^42+30254566008750580124611379200*x^40+18322595170190065826653536256*x^\
38+9730599382940501353345843200*x^36+4516700569120060639836897280*x^34+18253\
35039934103281015455744*x^32+639314556215344772134469632*x^30+19302064321101\
0783669387264*x^28+49920113163882638696513536*x^26+1097798200157636206893465\
6*x^24+2035020522316385319124992*x^22+314730283910200960221184*x^20+40111223\
523273896624128*x^18+4149630682038035021824*x^16+341983327297237680128*x^14+\
21914811745884438528*x^12+1057068963357261824*x^10+36657450811654144*x^8+852\
504568922112*x^6+11834983710720*x^4+78114717696*x^2+134217728
Common denominator of the automorphisms:
1675823607563601633400777512181155325791756677033940079680656034692520946829\
2183474185300039454100101660450368059185301481673240028210223248935262611298\
0043771760520826697908676888115695383740770132084174932814412801176032795591\
7640672940597229999129004604903579069764394813218888244113213866981443209206\
8511744
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.