G.f.: 
-(x^114 +9*x^112 -73*x^111 +342*x^110 -210*x^109 -9265*x^108 
+19989*x^107 +69276*x^106 -32163*x^105 -370508*x^104 
+483902*x^103 +2711876*x^102 -7982834*x^101 +21285642*x^100 
+88683557*x^99 +16244668*x^98 -126601297*x^97 +42546929*x^96 
+1165847662*x^95 -2541800292*x^94 -1957177817*x^93 
+1121158049*x^92 -19860905100*x^91 +29423433861*x^90 
-15887452684*x^89 -175429660152*x^88 +206121223228*x^87 
+79680373752*x^86 -605264012600*x^85 -183129249719*x^84 
+145409240260*x^83 +1017079389573*x^82 +627401345571*x^81 
-3561043709646*x^80 +1017366062862*x^79 +6909480429847*x^78 
-76055204035*x^77 -2448875158848*x^76 +6272549366917*x^75 
+6661776578984*x^74 +6040139766374*x^73 -8189485240824*x^72 
-24899397005194*x^71 -11037143347766*x^70 
+21212475128477*x^69 +11607925215024*x^68 
+24744477230067*x^67 +57927104772445*x^66 
-39971226991582*x^65 -158973054103060*x^64 
-47930208531889*x^63 +56686831002097*x^62 
+61853703390808*x^61 -33023470963947*x^60 
-90192734620696*x^59 -6931166508992*x^58 
-87052801438776*x^57 -51816376881472*x^56 
+26949491674480*x^55 +76019431473099*x^54 
-24673507061000*x^53 -20994114637093*x^52 
-11043296152395*x^51 -9499862501430*x^50 -9319679167174*x^49 
-6232071619179*x^48 +17736411281879*x^47 -1259502035412*x^46 
-4423392858689*x^45 -6150739554492*x^44 +992297150058*x^43 
+201099160676*x^42 +208320616698*x^41 +1965512456654*x^40 
+769960119159*x^39 -367023769812*x^38 -92928257139*x^37 
+153599640723*x^36 +65904950018*x^35 -97857374732*x^34 
-25872156483*x^33 +83375610219*x^32 +2764253940*x^31 
-32425714137*x^30 -42318116380*x^29 -6541984136*x^28 
+1226586748*x^27 +2252435592*x^26 +3079070728*x^25 
+985158187*x^24 +201208580*x^23 +376334615*x^22 
+73616049*x^21 +112452462*x^20 -5073078*x^19 -18098363*x^18 
-12009385*x^17 -6690888*x^16 -1013473*x^15 -195552*x^14 
-387918*x^13 -185392*x^12 +12866*x^11 +15134*x^10 +15495*x^9 
+8360*x^8 -303*x^7 +351*x^6 +174*x^5 +68*x^4 +13*x^3 +3*x^2 
-1) / 
(x^128 +13*x^127 +20*x^126 -55*x^125 +195*x^124 -981*x^123 
+11176*x^122 -103805*x^121 -990133*x^120 -454778*x^119 
+1636060*x^118 -4399458*x^117 -7158198*x^116 -59580386*x^115 
+140028204*x^114 +101458842*x^113 -1579534226*x^112 
+1878128076*x^111 +4379430332*x^110 +4413724792*x^109 
-25838985220*x^108 +106931390852*x^107 +573766479448*x^106 
-937473941350*x^105 -1014221800902*x^104 
+2456970766576*x^103 -3724353627778*x^102 
+4410822874054*x^101 -21272694689394*x^100 
-117412589451968*x^99 -26904725446038*x^98 
+70224489982962*x^97 -61195633808112*x^96 
-150985615344696*x^95 -424456616225928*x^94 
+792861433399404*x^93 +2501537044515124*x^92 
+271072866607864*x^91 -684378970360138*x^90 
+2557215328643742*x^89 +4676070495578716*x^88 
+3625944529127502*x^87 -7985366464514318*x^86 
-12666695955027506*x^85 +2042946811778300*x^84 
-252735213676126*x^83 -17820915937745506*x^82 
-18805439281740004*x^81 -7688055857568124*x^80 
+9549348771107528*x^79 +10573314771632444*x^78 
+10878111781950988*x^77 -18428286820637416*x^76 
-88727058286787318*x^75 -71484527160753022*x^74 
+11259531309136240*x^73 +141018135029305422*x^72 
+199169154918861294*x^71 -123210189503763874*x^70 
-275433959798650224*x^69 -10730311341080500*x^68 
-49050503075828412*x^67 -193681240824784776*x^66 
+73414494259431322*x^65 +409442343043405606*x^64 
+184991681882458554*x^63 -105913460311980132*x^62 
-37667309002764570*x^61 +53091825877050612*x^60 
+34375114633573138*x^59 +27876546607087668*x^58 
+96846410393005354*x^57 +67838604630684062*x^56 
-1257481280433110*x^55 -7423967422612988*x^54 
+6590695048216238*x^53 +7161223485309946*x^52 
+7775877578720932*x^51 +16623853506598052*x^50 
+12638325983967144*x^49 +2064339603353460*x^48 
-1818730742266020*x^47 +111495669485096*x^46 
+1418799741907934*x^45 +1371119263869038*x^44 
+868819265647504*x^43 +650133147376714*x^42 
+218001950836594*x^41 -133768828766150*x^40 
-123700610424288*x^39 -40166276468378*x^38 
-13018693039186*x^37 +5646900821968*x^36 
+34974425765232*x^35 +26878179193568*x^34 
+5176402815548*x^33 -3132727756788*x^32 -584711852128*x^31 
+1721079957514*x^30 +2081129096778*x^29 +504731360148*x^28 
-170018666390*x^27 -137029884506*x^26 -57165830806*x^25 
-9742358956*x^24 -8337131114*x^23 -13288526854*x^22 
-6169955852*x^21 -1237901284*x^20 +246554392*x^19 
+306988244*x^18 +149953428*x^17 +53018472*x^16 
+23857022*x^15 +10811222*x^14 +3637008*x^13 +782954*x^12 
-136870*x^11 -131238*x^10 -74864*x^9 -33693*x^8 -2033*x^7 
-492*x^6 -155*x^5 -65*x^4 -13*x^3 -4*x^2 -x +1).