G.f.: -(x^114 +x^112 -6*x^111 +38*x^110 -23*x^109 
-1067*x^108 +1192*x^107 +1771*x^106 -5341*x^105 -2415*x^104 
+10771*x^103 +55355*x^102 -159639*x^101 +138705*x^100 
+682355*x^99 -327072*x^98 -183885*x^97 -1392860*x^96 
+110069*x^95 -842309*x^94 -6493956*x^93 -15398601*x^92 
-551678*x^91 +35717417*x^90 -11903136*x^89 -152012114*x^88 
+106864874*x^87 +165883769*x^86 -18116711*x^85 
-49816209*x^84 -195226023*x^83 +172329847*x^82 
+1106559066*x^81 -929728559*x^80 -521724617*x^79 
+953015592*x^78 +106859174*x^77 +870929352*x^76 
+2115143315*x^75 -4155413027*x^74 +307855910*x^73 
+2768314713*x^72 +451866877*x^71 +1227189539*x^70 
+2721063465*x^69 -6291080646*x^68 +6207727697*x^67 
+10367877055*x^66 -8199425069*x^65 -17192911396*x^64 
+1287231502*x^63 -206119429*x^62 -1269409816*x^61 
+3152135352*x^60 -1986979997*x^59 -8774673530*x^58 
-18910149840*x^57 -1712053554*x^56 +646550151*x^55 
+7448327230*x^54 -470427918*x^53 -4546442529*x^52 
-4768021276*x^51 -7119985120*x^50 -939740343*x^49 
-103282671*x^48 +3913773091*x^47 -201819042*x^46 
-2087857215*x^45 -1936410021*x^44 -1308760183*x^43 
-372918843*x^42 -86950142*x^41 +1035112011*x^40 
+494129215*x^39 -321466370*x^38 -323339468*x^37 
-252940592*x^36 -37885873*x^35 -81884161*x^34 +48870738*x^33 
+127899727*x^32 +1842801*x^31 -52083389*x^30 -60834093*x^29 
+4633409*x^28 +6065886*x^27 +3991548*x^26 +3724758*x^25 
+1491143*x^24 +3676796*x^23 +3762487*x^22 +463198*x^21 
+293601*x^20 -131563*x^19 -286356*x^18 -224123*x^17 
-155836*x^16 -66163*x^15 -4061*x^14 -9915*x^13 -4645*x^12 
+2001*x^11 +2245*x^10 +2199*x^9 +1003*x^8 -100*x^7 +47*x^6 
+43*x^5 +24*x^4 +8*x^3 +3*x^2 -1) / (x^128 +7*x^127 +2*x^126 
-5*x^125 +31*x^124 +49*x^123 -200*x^122 -11300*x^121 
-32454*x^120 +1942*x^119 -12851*x^118 -174111*x^117 
-84616*x^116 +291451*x^115 -1089441*x^114 -6757738*x^113 
+607093*x^112 +11887708*x^111 -15751463*x^110 
-12663092*x^109 -2715314*x^108 -93582369*x^107 
-327577484*x^106 -204721312*x^105 +374269393*x^104 
-485056725*x^103 -597590088*x^102 +434695224*x^101 
-8086378383*x^100 -12642596057*x^99 +6123843544*x^98 
+13348145474*x^97 +5352847567*x^96 -4608041248*x^95 
+4207324802*x^94 +118940260584*x^93 +162735299595*x^92 
-53271488046*x^91 -96998900208*x^90 +78649061680*x^89 
+138528615048*x^88 +85294729915*x^87 -368778744950*x^86 
-773136607159*x^85 -7766818254*x^84 +408855149484*x^83 
-266408247910*x^82 -477570626271*x^81 -367378105425*x^80 
-11836704262*x^79 +1428883327192*x^78 +1125673117516*x^77 
-827659991608*x^76 -724180829305*x^75 +529604399864*x^74 
+436411487725*x^73 +42720671866*x^72 -1210802753477*x^71 
-2120294037175*x^70 -556020898104*x^69 +40294937724*x^68 
-1366358384957*x^67 -660943985906*x^66 +2252221484213*x^65 
+1993181385535*x^64 -633594851797*x^63 -473065099868*x^62 
+231779771289*x^61 -223987678488*x^60 +245461282824*x^59 
+1738916810529*x^58 +1843983477609*x^57 +164377539730*x^56 
-378052987309*x^55 -56943873120*x^54 +98416974289*x^53 
+268211641586*x^52 +667448702484*x^51 +773284554370*x^50 
+242672906062*x^49 -131965192901*x^48 -105493606495*x^47 
+22803050944*x^46 +76821358184*x^45 +102791869566*x^44 
+120220142023*x^43 +66811426664*x^42 -3926222161*x^41 
-28086427268*x^40 -16775763826*x^39 -1011863100*x^38 
+6035512072*x^37 +8750596301*x^36 +6045633120*x^35 
+1904020674*x^34 -643382908*x^33 -977077717*x^32 
+162914204*x^31 +764840040*x^30 +388511169*x^29 
-249114953*x^28 -261030382*x^27 -88560932*x^26 -5802261*x^25 
-9039381*x^24 -41339322*x^23 -39098674*x^22 -11566921*x^21 
+853508*x^20 +3065838*x^19 +2178195*x^18 +1176020*x^17 
+808851*x^16 +542476*x^15 +201547*x^14 +58435*x^13 
+3164*x^12 -13005*x^11 -9489*x^10 -5886*x^9 -2520*x^8 
-74*x^7 -38*x^6 -27*x^5 -19*x^4 -7*x^3 -4*x^2 -x +1).