Group GAP4(96,79)

Name: (C12 x C4) : C2
Maximal quotients:GAP4(32,24) GAP4(48,35) GAP4(48,37)
Real polynomial:
x^96-840*x^94+334800*x^92-84370800*x^90+15112891800*x^88-2050872724800*x^86+\
219440219738400*x^84-19023919011432000*x^82+1362677014559682000*x^80-8183589\
3223797600000*x^78+4166930493348716880000*x^76-181468046434757798880000*x^74\
+6805785494794010695920000*x^72-221006632439018029377600000*x^70+62406885267\
43562879611200000*x^68-153743105454480799400160000000*x^66+33126730922310710\
98465512000000*x^64-62540189752923801605640672000000*x^62+103572075904078653\
4717406592000000*x^60-15055153206285808016283026880000000*x^58+1920923133840\
66508022787089760000000*x^56-2150392632973388652794989708800000000*x^54+2110\
0450321830086327664107625600000000*x^52-181216793627639849436377735520000000\
000*x^50+1359516920737890676179947282568000000000*x^48-888730120424787277354\
0710860160000000000*x^46+50470265886943915523750427133632000000000*x^44-2480\
89716196695748604607703148160000000000*x^42+10510923019751559415548898044739\
20000000000*x^40-3819261794840542000675182961555200000000000*x^38+1183398082\
9285121967851032034522880000000000*x^36-310606838461712682835481786791680000\
00000000*x^34+68529820482366420517641634305542400000000000*x^32-125965782633\
682281954847412976768000000000000*x^30+1908909991900463924109972567859200000\
00000000*x^28-235569129715121092190430554375424000000000000*x^26+23327873585\
3271884627842559839872000000000000*x^24-182143227358687982049452684206080000\
000000000*x^22+109785443848114468541737956963840000000000000*x^20-4981093883\
9333382387286820275200000000000000*x^18+165258695376225031168593117504000000\
00000000*x^16-3888883325032340052105643622400000000000000*x^14+6318935808376\
22882122031769600000000000000*x^12-69445782928415054822275584000000000000000\
*x^10+5056759268565141902913792000000000000000*x^8-2364121032829000973568000\
00000000000000*x^6+6699796318103722859520000000000000000*x^4-102559028057429\
852160000000000000000*x^2+635278797484853760000000000000000
Common denominator of the automorphisms:
5442198483092651095444070428964209752019752005770544642863889016134663084252\
1227929874221218069777146056774781664022732883385918245478403461815150694402\
1296483655926816942499894041597479433297861174220113769374211159162883187671\
040000000000000000
Complex polynomial:
x^96+1524*x^88-33888*x^84+945066*x^80-3017016*x^76+466306960*x^72+2963628936\
*x^68+20486980467*x^64-126440735664*x^60-3180207042504*x^56-12402219176280*x\
^52+49990937917434*x^48+404661062060496*x^44+907937386197228*x^40+1861984575\
758376*x^36+6224956201309905*x^32+1766616273414504*x^28+6255898049741224*x^2\
4-258577809830208*x^20+891645596114736*x^16+176174169803520*x^12+74863225770\
24*x^8-55782720000*x^4+100000000
Common denominator of the automorphisms:
5255079388130484833283530492372069295439627290950849462953630091941304969397\
760421184029598139919985703819921635111689369194457216344537276530560000000

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.