Group GAP4(96,110)
Name: C2 x D48
Maximal quotients:GAP4(32,39) GAP4(48,7) GAP4(48,36)
Real polynomial:
x^96-528*x^94+132888*x^92-21239136*x^90+2423043336*x^88-210274734816*x^86+14\
445081959792*x^84-807136258246944*x^82+37406691906999396*x^80-14590369764505\
10912*x^78+48435439483688682144*x^76-1380524376524364167712*x^74+34018762324\
829266956472*x^72-728756499776682381997632*x^70+13631503247446981820368032*x\
^68-223414902400101488653472224*x^66+3217099733213467824912298998*x^64-40784\
321087393089851313638816*x^62+455870702104561151418482069808*x^60-4497080213\
139441313764630077280*x^58+39172135042153577083210775287992*x^56-30130625294\
6836474045248245056640*x^54+2045820767539560710681374202653632*x^52-12252397\
290555855382319727940332960*x^50+64647958914349911927344248837434444*x^48-30\
0034299001502873281791043056814848*x^46+122230034766065392115453106846745363\
2*x^44-4359901388102676886300746116477511776*x^42+13575000635860235033801507\
228717437704*x^40-36760828769504634644375080410548766528*x^38+86206611744524\
480464138725860654709024*x^36-174179843822151524211963131165810815392*x^34+3\
01409161641918791333270050489594269057*x^32-44355708442035081595262835107498\
6670544*x^30+550493948981874328066550685026947015416*x^28-570515649542815572\
657369712230713872320*x^26+487953544622163419587642281883975618432*x^24-3396\
02491935275417745785100701572318368*x^22+18910732870911815379596596537825119\
9696*x^20-82556922342634612427635336007174386880*x^18+2756786158741815811818\
6413295367308360*x^16-6831922752643127866079465284526650176*x^14+12095705583\
94451038877893361941806944*x^12-145371939448950120332291259231985920*x^10+11\
003081802802043638209603770571648*x^8-464471434811587979547401359969920*x^6+\
8916187140250034096414184538176*x^4-68227460647650408106334640384*x^2+126324\
086388265560521430544
Common denominator of the automorphisms:
2694384585909029859736220405335356768300298460522161414057090218613684885523\
8696041921765192342695739055373932894155859072136351233450486702923769006208\
7559944137685531867691904191822582960845500807269990018512557368636711428965\
941533950306255050019799270898697421007906108350777073084661760
Complex polynomial:
x^96+3963062376*x^72+5808381451184466*x^48+26001652248936*x^24+43046721
Common denominator of the automorphisms:
4879449531588111013908000
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.