Group GAP4(128,1603)
Name: C2 x C4 x (C8 : C2)
Maximal quotients:GAP4(64,85) GAP4(64,192) GAP4(64,247)
Real polynomial:
x^128-416*x^126+83600*x^124-10813248*x^122+1011959432*x^120-73031812128*x^11\
8+4230351501728*x^116-202126532973920*x^114+8125085012371812*x^112-278892923\
334453568*x^110+8268794399767356816*x^108-213692331789971345376*x^106+484898\
4898209497860400*x^104-97187414587238006805920*x^102+17289653087561595679029\
60*x^100-27411319247079475332688320*x^98+388589400492579992211362666*x^96-49\
39364948880916947659229152*x^94+56424070364884397208527112896*x^92-580348172\
555091320652625832416*x^90+5382827505909328296599340593656*x^88-450781224782\
98128598791768412032*x^86+341174173535077598261903610504368*x^84-23354033672\
83697951456968113082912*x^82+14466168947178783410194415796404784*x^80-811148\
77492415737344283996438827680*x^78+411792766313816145519678029346179824*x^76\
-1892763254793540682630283125462889600*x^74+78758679158347809457682580122510\
28408*x^72-29659975688917468944164847878265063008*x^70+101051356826355060455\
465044892810243008*x^68-311304855378910212125573184121820385888*x^66+8666041\
57842255751798695103238791675987*x^64-21782651641775458544697681932311878009\
28*x^62+4939285702616808442061278031537978208832*x^60-1009327296656851976339\
7162995130754414176*x^58+18565463878247757923931757758878205663224*x^56-3069\
8301127958049038364514748417847044736*x^54+455638225517668326536117243451679\
06520688*x^52-60605917478731145110010391274730075112096*x^50+721132158708977\
10452214012556220893134384*x^48-76604377732312458227621338519624151817248*x^\
46+72489676316043989798488185836977659842608*x^44-60957943640169203233223376\
801039184960896*x^42+45431472553237961592345316772870305806392*x^40-29921123\
067350632579152408224084988313568*x^38+1735733724087250515891082035406781429\
7664*x^36-8837145982461847687325540530610134848736*x^34+39330783008255125878\
24219143914704271370*x^32-1523398378194769070999844491254892132288*x^30+5109\
62052320092078620013587131289067888*x^28-14757431770618208585994718336231827\
5488*x^26+36466159464983557843024039960557442160*x^24-7652652035118115856476\
382067737955552*x^22+1352156590140911560104074761206546320*x^20-199112573480\
367121347038112225556288*x^18+24137486894996385122419742549641476*x^16-23728\
43980902602395542838017494880*x^14+185624278815974112691590867194656*x^12-11\
277694987463703791036333177120*x^10+515077862320145284890037109128*x^8-16888\
564739307042990441934656*x^6+370403788539539260209091984*x^4-479499038696175\
5098821280*x^2+27223072860834653926561
Common denominator of the automorphisms:
1903757674218512098783654753706114511485783135268345066607455569827021297305\
7538096551507991485388504375343324596033854979545573094871813513198926691280\
9050446273887526577987779251121980804900005619564492132868124028426305052189\
4700865926292547492367907551995240822376850679010282136476390184532977759943\
7700434880307337534025422336216364721350229287508533818925016672768467127509\
3765914139615818889697765710603724466317809698438771129783626981145836736137\
4133117581621663698553245226648332642061112269045130282157738170576428353685\
713303782391344992037951360204800
Complex polynomial:
x^128+31*x^112+705*x^96+13919*x^80+251009*x^64+3563264*x^48+46202880*x^32+52\
0093696*x^16+4294967296
Common denominator of the automorphisms:
3234226338004992
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.