Group GAP4(96,148)

Name: C2 x ((C3 x Q8) : C2)
Maximal quotients:GAP4(32,40) GAP4(48,17) GAP4(48,43)
Real polynomial:
x^96-576*x^94+146232*x^92-21997440*x^90+2224885008*x^88-162499366656*x^86+89\
73130490208*x^84-386751634229376*x^82+13318124976333816*x^80-372963784847044\
608*x^78+8612175219883493472*x^76-165800637499197245184*x^74+268532408840308\
9471488*x^72-36861291301416454388736*x^70+431515411965023340747456*x^68-4330\
407737013079582310400*x^66+37416551939981283136402224*x^64-27937840477841641\
0444105728*x^62+1808190370948219876989136512*x^60-10169814488504667671426872\
320*x^58+49806392477961491037462233088*x^56-212742236620215648614262140928*x\
^54+793474770513937908918116664576*x^52-2586232621439682660952795054080*x^50\
+7369493690205150474780670748544*x^48-18359607054507040821294117089280*x^46+\
39976513254722998641855754515456*x^44-76025679298541627795854720192512*x^42+\
126142268236888676711816924218368*x^40-182331627630894397540270675722240*x^3\
8+229157612930245539306404680123392*x^36-249830745770100016538273128292352*x\
^34+235582959433109117986622999257344*x^32-191482170367152885440935313571840\
*x^30+133603928748345551418046317920256*x^28-7963668292669589717610999998054\
4*x^26+40320543896774127626308810702848*x^24-1722335566396318597156005583257\
6*x^22+6157190494722443781611666276352*x^20-1824324474747329113996281249792*\
x^18+442715630353205770539201724416*x^16-86704107869660650924790513664*x^14+\
13448337740571979437286883328*x^12-1611561360870647576263655424*x^10+1442171\
39879673141928132608*x^8-9175281339025817987973120*x^6+384283112975472663724\
032*x^4-9245277545442305900544*x^2+93386641873154605056
Common denominator of the automorphisms:
9666703652783018233098470628865304882097414857376075302425343911417182512813\
3466320188750645615325723977582582447495395987883047662371765386419787947971\
15200431239083003038330204563872607812983249545397081759889015711989760000
Complex polynomial:
x^96+117472968*x^84-9388477812*x^72+1001068697880*x^60-5278510654794*x^48+88\
16570307000*x^36-5162437908*x^24+775656*x^12+81
Common denominator of the automorphisms:
37999900822879250241980090545653055488

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.