Group GAP4(128,1919)

Name: (C2 x ((C8 x C2) : C2)) : C2
Maximal quotients:GAP4(64,215) GAP4(64,251) GAP4(64,256)
Real polynomial:
x^128-464*x^126+102880*x^124-14535072*x^122+1472083152*x^120-113992470448*x^\
118+7029422828960*x^116-354987754259104*x^114+14983181220443064*x^112-536785\
003994020432*x^110+16521340911164242400*x^108-441093730410454657312*x^106+10\
296002077173086036208*x^104-211481693644064937453360*x^102+38431676917044001\
95673504*x^100-62071056549389544956761888*x^98+894410526121305110639848028*x\
^96-11535682970980065417607157264*x^94+133538062167736922891340173664*x^92-1\
390708479031655013679190275872*x^90+13055460225309401248751951082704*x^88-11\
0659970364479794174330705897840*x^86+848058089237495509405753706548256*x^84-\
5882766251455047093735319454318112*x^82+36969436656535696640740401941565320*\
x^80-210621111842686157215370752761048976*x^78+10883440012318537514884987183\
98686048*x^76-5102265128002430168017286647932318368*x^74+2170418888597408973\
6766721949671720560*x^72-83769432785747813800337150836576815088*x^70+2932886\
30651393624506359976267992537632*x^68-93112479740938285678270583315430044944\
0*x^66+2679094591826422400337839517101397417606*x^64-69811705289925911263369\
31421863136175984*x^62+16460656360146008620767159815204084395424*x^60-350821\
79135082147975101017797395360769760*x^58+67500570567267969639818312357908621\
820656*x^56-117080554009775622360028417560784211377424*x^54+1827684198946035\
37112109522623627704185056*x^52-256294408650100107873139134873892681858528*x\
^50+322160159521842608279829500734082892744968*x^48-362119556750985899884684\
655013140644216560*x^46+362993493441380212568806572657377206180256*x^44-3235\
06363320430412075681097114969249841504*x^42+25545083464526756613744733843363\
8270725456*x^40-178027505139690668443959168991114248234384*x^38+109024090180\
444356979837314524148023827680*x^36-5838051022739915685752307280473177878307\
2*x^34+27182738200607748717963997074389379193052*x^32-1093539937295844276213\
5056544521806083248*x^30+3773386090727803555776511398459509950240*x^28-11074\
90409176152320599872972266488442976*x^26+27379120864518881366363301768960067\
2624*x^24-56359440916806448165565125454084093392*x^22+9527555116040051154507\
483325919436128*x^20-1300533570573433187639827751802943840*x^18+140340589454\
626315455048823726293816*x^16-11649313619646506722781830755672880*x^14+71724\
1872468510231418952130867488*x^12-31146623444637308741579771579104*x^10+8870\
05880556785338046655134544*x^8-14830656068706691959305928528*x^6+12196696416\
1904842263716704*x^4-381678133069301065778912*x^2+231385024284274872001
Common denominator of the automorphisms:
9382658140655460446113917696966082564002592628617670499141972539736455026977\
4227923352994513625464447102343667710507818881959350137002704629357997463436\
1736805978614883178769401772311944601820061390821589564484035992927804014021\
9247993858350579256909817892297747976174450184513687170196276912718562134352\
1824112027102224791613276564129920123505759011914353795235696771761301662601\
9613811835176302493675167098941131999775654510897506951524439820652231791838\
13400985600
Complex polynomial:
x^128+24*x^124+1008*x^120+13952*x^116+608018*x^112+11155880*x^108+109548128*\
x^104+1458723976*x^100+16776966481*x^96+149204727368*x^92+1149893564832*x^88\
+7150374432600*x^84+43380710936946*x^80+220999891272016*x^76+118276699841512\
0*x^72+2481338046846616*x^68+7925103708291684*x^64+39232964190709032*x^60+52\
583954748115600*x^56+100991608865649936*x^52+368104306634705394*x^48+3773716\
71055416840*x^44+450512043977058720*x^40+127871260427582232*x^36+19717970063\
6727889*x^32+88987325223860152*x^28+34834539570609760*x^24+6953253436906072*\
x^20+1108791014721426*x^16+1017160673856*x^12+895148912*x^8+30472*x^4+1
Common denominator of the automorphisms:
7603726177868898135537636567900739922955338550083238509728613304721299524311\
4450957092512438505256825657985924132018337426324310275269341225705002418281\
1240675328

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.