Group GAP4(96,52)

Name: C3 x ((C8 x C2) : C2)
Maximal quotients:GAP4(32,9) GAP4(48,21) GAP4(48,25) GAP4(48,26)
Real polynomial:
x^96-320*x^94+46624*x^92-4120640*x^90+248297700*x^88-10869127616*x^86+359583\
641408*x^84-9233420811264*x^82+187532808156894*x^80-3054439222686720*x^78+40\
308174996258816*x^76-434356884701017248*x^74+3844957942896756688*x^72-280905\
11447252776512*x^70+170013547532779272608*x^68-855130405057960497088*x^66+35\
84444690656815716157*x^64-12554528264212353883840*x^62+368389706847368939790\
72*x^60-90803610875341883326912*x^58+188524171461894292260940*x^56-330577577\
653260462848992*x^54+490850556386402527986272*x^52-618624435962479371003392*\
x^50+663129069001026618465474*x^48-605581129552544195754624*x^46+47167837129\
7789580232448*x^44-313527304203988964165472*x^42+177851302821027007867220*x^\
40-86042087616525859542048*x^38+35454026684882127937472*x^36-124177690422447\
82862656*x^34+3686772385513327614798*x^32-924563040732995338752*x^30+1949924\
82141159363232*x^28-34404082144786268448*x^26+5046800097894059052*x^24-61105\
2397418499648*x^22+60549725876814368*x^20-4861861767172096*x^18+312637034333\
548*x^16-15872852489728*x^14+625145947872*x^12-18670260064*x^10+410091080*x^\
8-6342496*x^6+64576*x^4-384*x^2+1
Common denominator of the automorphisms:
6611943655100808934522870606848126228621729191229638332986322632309307679693\
9316948215846986688175886012750235719462752623315508644116939128838021022970\
8531176549634431725064380024598050709952
Complex polynomial:
x^96+312*x^92+37440*x^88+2079344*x^84+60978346*x^80+972905856*x^76+819340025\
6*x^72+38724431096*x^68+224590010125*x^64+1112674379952*x^60+2225677433408*x\
^56+575305176888*x^52+5952589799206*x^48+1649543105184*x^44+2519498962240*x^\
40+2507959787568*x^36+736029248942*x^32+71751120792*x^28+36567639808*x^24+42\
19288424*x^20+127282740*x^16-1006152*x^12+84032*x^8-208*x^4+1
Common denominator of the automorphisms:
3548630228706699309002908480754162853829724548471604784207333104432191278081\
20560

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.