Group GAP4(112,30)

x^112-1260*x^110+712890*x^108-243229400*x^106+56596256200*x^104-961784988600\
0*x^102+1247165979971000*x^100-127226407697840000*x^98+10442195522085460000*\
x^96-701526658297401200000*x^94+39105781449369540500000*x^92-182877561077217\
5826000000*x^90+72400432255748418414000000*x^88-2444999402218971854860000000\
*x^86+70886538728241625106860000000*x^84-1774112518107055162525000000000*x^8\
2+38510878495919619101550800000000*x^80-728023416040057432606126000000000*x^\
78+12028335897838873067717374000000000*x^76-17422015689664764015647930000000\
0000*x^74+2218088028863065901723192840000000000*x^72-24879482880596358008400\
043600000000000*x^70+246340442346461438672384022500000000000*x^68-2156643203\
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0*x^64-114858120813053458701371384420000000000000*x^62+700072939548063643657\
570456890000000000000*x^60-3787601055111463295520890800600000000000000*x^58+\
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472000000000000000*x^54+294094521504276925944438530656000000000000000*x^52-9\
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59360000000000000000*x^48-7800752849251669323871996505600000000000000000*x^4\
6+18262626569018516900398241856000000000000000000*x^44-378036965370534829401\
67120128000000000000000000*x^42+69076331278584156338416251904000000000000000\
000*x^40-111196723526554919068805836800000000000000000000*x^38+1573320264061\
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24000000000000000000000*x^28-11525864429526774930997248000000000000000000000\
0*x^26+69797649885200188253143040000000000000000000000*x^24-3601610408487550\
5906483200000000000000000000000*x^22+157089409125501962813440000000000000000\
00000000*x^20-5735521961804149293056000000000000000000000000*x^18+1732207608\
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00000000000*x^14+83892658677575843840000000000000000000000000*x^12-128684095\
62549452800000000000000000000000000*x^10+14859762780864512000000000000000000\
00000000*x^8-122784525058048000000000000000000000000000*x^6+6701759594496000\
000000000000000000000000*x^4-209379655680000000000000000000000000000*x^2+268\
4354560000000000000000000000000000

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2118630840420481934738242128956788214303233970730239071597382516816621853436\
01177504458686514597902417920000000000000000000000000000000

x^112+31125892*x^104+88006614086*x^96+115449843991620*x^88+85391735329783745\
*x^80+37907207571598179392*x^72+11237280547498405635584*x^64+262330655801491\
6016095232*x^56+434126480661133805416939520*x^48+366310404695897719404966707\
20*x^40+1305327542728825303316264124416*x^32+2250207058828851340933137872977\
92*x^24+1536782379593578302967874947383296*x^16+3700442720525172634863922053\
120000*x^8+1844674407370955161600000000

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7653140985486906069663551230392077602178113835264302495489187392818001345911\
8760132608000000000