Group GAP4(96,71)
Name: ((C4 x C4) : C3) : C2
Maximal quotient:GAP4(24,13)
Real polynomial:
x^96-464*x^94+100096*x^92-13398000*x^90+1252467720*x^88-87232568352*x^86+471\
4177685648*x^84-203213898200160*x^82+7127489353299048*x^80-20642544601098252\
8*x^78+4992509900706734104*x^76-101716901679309039808*x^74+17577548919348384\
63132*x^72-25903642897906598638064*x^70+326930519462016874380464*x^68-354570\
6183535608649311152*x^66+33131476360154124274567800*x^64-2672628565755414621\
18312576*x^62+1863957336814935052977231184*x^60-1125053268258906263410110860\
8*x^58+58804766674242557049164135704*x^56-266228927492914936544768816768*x^5\
4+1043883581767400573306995167352*x^52-3543333102247729330051812943584*x^50+\
10404180134954698434518591230310*x^48-26398570065541539854602630288944*x^46+\
57801683352815452114189654422176*x^44-109036037443282094199563539207376*x^42\
+176856585227999610727943560857464*x^40-246100830490724932809799891167008*x^\
38+293038894497585644025963579114032*x^36-297705923466947342138400712582752*\
x^34+257195309106802784455056868517272*x^32-18824565198600870503339952364300\
8*x^30+116230880383840154237938207370504*x^28-602459991359713477167949937987\
84*x^26+26066361463480591206369484671964*x^24-935147422640285416240191023771\
2*x^22+2759720210849366637606687059376*x^20-663473714950343745120499744144*x\
^18+128388282935950250896365185160*x^16-19693046448050471114565952576*x^14+2\
346682112072147350319193584*x^12-211366830039668022426423744*x^10+1383248055\
8802617287122152*x^8-618366775600463038911616*x^6+16918049174469244753896*x^\
4-220129623826976362464*x^2+336842150430719521
Common denominator of the automorphisms:
1266300337061560401059928999766964701558291227892975221493890460973199962073\
7871340222668377233565749580344455493671120766994162519016141939336015362451\
4398849064501437723988065636234979900050993256392580852843559226903305168388\
2340220718095072180723715855313075077945140771741712806416543798206708962909\
0037240573839581645553247997153511426309683841197185564595136372338127230908\
2113629024674210968663102395856854852417105259411068102635665826687898248396\
3302680623440396414191028833756791559754963316522778626468073145218829415547\
8763700770604873816671066240551650589739965985774461401455753514762305024516\
396526075904
Complex polynomial:
x^96+4160*x^92+2337472*x^88-2441543552*x^84+873461815808*x^80-66856256563200\
*x^76-322500554797056*x^72+19962875430371328*x^68+3949687567422259200*x^64+2\
49202143163374370816*x^60+6324407636281040830464*x^56+1382140581294208901447\
68*x^52+2127127427250665681846272*x^48+13465833895063065622216704*x^44+14616\
0708108131101287907328*x^40+2914015144074279666946408448*x^36+20819256624706\
695624677916672*x^32+48801987517012673715647807488*x^28+19742936363790771673\
848872960*x^24+32768390051715429970399461376*x^20+63260066689849040828031303\
680*x^16+22540790899972078241358807040*x^12+1365525452625592392620179456*x^8\
+28990794035019008484311040*x^4+198696496487253164425216
Common denominator of the automorphisms:
1542026665042144775732731765112781018264753579489526325637530773258910706109\
4762499482286446210633021099810022658316044388872965891096460973744647895012\
5902359950209464978358201966641057631929803500436254986688214900963762666435\
215238708514188930031946948534356205014876160
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.