Group GAP4(112,23)

x^112-1680*x^110+1205400*x^108-499819600*x^106+136380161400*x^104-2635532729\
7600*x^102+3781867877782400*x^100-416406240547214400*x^98+360331104098532532\
00*x^96-2495358162373475056000*x^94+140261713141388928264000*x^92-6471396810\
628507162720000*x^90+247321726500362678444000000*x^88-7888297863451174400145\
600000*x^86+211285035481673263559015840000*x^84-4777439747130858134838788480\
000*x^82+91598854072949605443761291200000*x^80-14948247976209296037975466816\
00000*x^78+20829818395614763001137783862400000*x^76-248512421256053298316069\
646080000000*x^74+2544225401645750850010242629148800000*x^72-223926996614524\
92398915011599616000000*x^70+169680858334925325889690130067392000000*x^68-11\
08182358814252918010423060288256000000*x^66+62427013057998590068816105701200\
64000000*x^64-30346798070891115330956940670382080000000*x^62+127322403644457\
644753392479019577600000000*x^60-461009776589595739565193351613240320000000*\
x^58+1440100242592031308546892461125258240000000*x^56-3879106494336562725012\
868364208947200000000*x^54+9003948301320826818514243386141926400000000*x^52-\
17994435494523396013203936058114969600000000*x^50+30933539290187811142975498\
958869171200000000*x^48-45690910907454715609967896419897344000000000*x^46+57\
915725500769446958240219679069696000000000*x^44-6290885103828614962800758312\
4686848000000000*x^42+58461102700548212092082985181920768000000000*x^40-4639\
2115610037002239654735243366400000000000*x^38+313684961865994915538362305656\
62720000000000*x^36-18026425434247496735980627315261440000000000*x^34+877812\
6743461940820313633620101120000000000*x^32-360964986645707445317137584824320\
0000000000*x^30+1248370435776239557055359366758400000000000*x^28-36140129761\
1378260976934010880000000000000*x^26+870994965075685458333092425728000000000\
00*x^24-17363208148508396280584740864000000000000*x^22+284154209228793313519\
2412160000000000000*x^20-378356373977619924188954624000000000000*x^18+405500\
47644853316292108288000000000000*x^16-3451933926441803015127040000000000000*\
x^14+229509262704865119764480000000000000*x^12-11656479781580016517120000000\
000000*x^10+438615854726220021760000000000000*x^8-11695144209989632000000000\
000000*x^6+206015429692620800000000000000*x^4-2115691190681600000000000000*x\
^2+9445049958400000000000000

8780720396144835664169420861652512690456535800033374072079511724805449826666\
9911331164986212114373637636066086005596913487117624596685422459235593612405\
0017531017545580506897894308799983539610353691643697554454798730097621947700\
7152142883735072251777391352944761563160708950040866872328609741208175112386\
6656798646197510590602154246484006468830087349473872317488018385344921600000\
00000000

x^112+4147237968*x^96+688435563374664192*x^80+58194677885691804528640*x^64+3\
43116262171223901551067136*x^48+14669051746408686104008982528*x^32+276970333\
41646667776*x^16+268435456

2078224064208570360501401389295739590335799057153197362259796904099877811080\
134656