Appendix
\(f_{1}\) and \(f_{2}\) in (2.10) are given by
$$\begin{aligned} f_{1}:={} & 8 x_{1} ^{7} \beta+x_{1} ^{7}\delta-28 x_{1} ^{6}\beta^{2}-16 x_{1} ^{6}\beta \delta-2 x_{1} ^{6}\delta^{2}+24 x_{1} ^{5}\beta^{3}+14 x_{1} ^{5}\beta^{2}\delta+2 x_{1}^{5} \beta\delta^{2}-24 x_{1} ^{4} \beta^{4} \\ & -24 x_{1}^{4}\beta^{3} \delta-8 x_{1} ^{4}\beta^{2} \delta^{2} -x_{1} ^{4}\beta \delta^{3}+16 x_{1} ^{3}\beta^{5}+24 { x_{1} }^{3}\beta^{4}\delta+12 x_{1} ^{3}\beta^{3}\delta^{ 2}+2 x_{1} ^{3}\beta^{2}\delta^{3} \\ & -hx_{1} ^{6}-4 h x_{1}^{4}\beta^{2}-hx_{1} ^{4}\beta\delta+4 hx_{1} ^{3} \beta^{3}+2 hx_{1} ^{3}\beta^{2}\delta-8 x_{1} ^{6}\beta+ x_{1} ^{6} \delta+48 x_{1} ^{5}\beta^{2}+12 x_{1} ^{5} \beta\delta \\ &-48 x_{1} ^{4}\beta^{3}-10 x_{1} ^{4} \beta^{2}\delta+x_{1} ^{4}\beta \delta^{2}+64 x_{1} ^{3}\beta^{4} +40 x_{1} ^{3}\beta^{3}\delta+6 x_{1} ^{3}\beta^{2}{ \delta}^{2}-48 x_{1} ^{2}\beta^{5}-48 x_{1} ^{2}\beta^{4 }\delta \\ & -12 x_{1} ^{2}\beta^{3}\delta^{2}+4 hx_{1} ^{3}{ \beta}^{2}-4 hx_{1} ^{2} \beta^{3}-20 x_{1} ^{4}\beta^{2}+24 x_{1} ^{3}\beta^{3}-4 x_{1} ^{3}\beta^{2}\delta-56 x_{1} ^{2}\beta^{4}-16 x_{1} ^{2}\beta^{3}\delta\\&+48 x_{1} \beta^{5}+24 x_{1} \beta^{4}\delta +16 x_{1} \beta^{4}-16 \beta^{5}, \\ f_{2}:={}& -4992x_{1}^{18} \beta^{2}-3120x_{1}^{18}\beta\delta- 312x_{1}^{18}\delta^{2}+37{,}440x_{1}^{17} \beta^{3}+ 41{,}136x_{1}^{17} \beta^{2}\delta \\ & +13{,}746x_{1}^{17}\beta{ \delta}^{2}+1296x_{1}^{17}\delta^{3}-95{,}040x_{1}^{16}{ \beta}^{4}-133{,}680x_{1}^{16} \beta^{3}\delta-69{,}624x_{1}^{16} \beta^{2}\delta^{2} \\ & -15{,}774x_{1}^{16} \beta\delta^{3}- 1242x_{1}^{16} \delta^{4}+104{,}736x_{1}^{15}\beta^{5}+ 125{,}776x_{1}^{15}\beta^{4} \delta+43{,}308x_{1}^{15}\beta ^{3} \delta^{2} \\ & -644x_{1}^{15}\beta^{2} \delta^{3}-2616{{ x_{1}}}^{15}\beta \delta^{4}-323x_{1}^{15}\delta^{5}-101{,}312x_{1}^{14}\beta^{6}-99{,}120x_{1}^{14} \beta^{5} \delta \\ & +24{,}656x_{1}^{14} \beta^{4}\delta^{2}+69{,}768x_{1} ^{14}\beta^{3}\delta^{3}+34{,}822x_{1}^{14} \beta^{2}\delta ^{4}+7110x_{1}^{14}\beta\delta^{5}+515x_{1}^{14}{ \delta}^{6} \\ &+102{,}656x_{1}^{13} \beta^{7}+184{,}960x_{1}^{13} \beta^{6}\delta+150{,}496x_{1}^{13} \beta^{5}\delta^{2}+77{,}520 x_{1}^{13} \beta^{4}\delta^{3}\\ & +28{,}788x_{1}^{13}\beta ^{3} \delta^{4}+7590x_{1}^{13} \beta^{2}\delta^{5}+1246{{ x_{1}}}^{13} \beta\delta^{6}+94x_{1}^{13} \delta^{7}+12{,}416 x_{1}^{12} \beta^{8} \\ &+158{,}496x_{1}^{12} \beta^{7}\delta +323{,}136x_{1}^{12}\beta^{6} \delta^{2}+293{,}736x_{1}^{12} \beta^{5}\delta^{3}+143{,}952x_{1}^{12} \beta^{4}\delta^{4} \\ & +39{,}480x_{1}^{12} \beta^{3}\delta^{5}+5722x_{1}^{12}{ \beta}^{2}\delta^{6}+345x_{1}^{12}\beta\delta^{7}+2176{ x_{1}}^{11}\beta^{9}-51{,}520x_{1}^{11} \beta^{8}\delta \\ & - 132{,}512x_{1}^{11} \beta^{7}\delta^{2}-138{,}128x_{1}^{11} \beta^{6}\delta^{3}-76{,}368x_{1}^{11} \beta^{5}\delta^{4}- 23{,}256x_{1}^{11}\beta^{4} \delta^{5}\\ &-3440x_{1}^{11}{ \beta}^{3}\delta^{6}-92x_{1}^{11} \beta^{2}\delta^{7}+23 x_{1}^{11} \beta\delta^{8}+11{,}264x_{1}^{10} \beta^{10}+ 65{,}920x_{1}^{10} \beta^{9}\delta \\ & +126{,}208x_{1}^{10}\beta ^{8} \delta^{2}+121{,}952x_{1}^{10} \beta^{7}\delta^{3}+69{,}120 x_{1}^{10} \beta^{6}\delta^{4}+24{,}392x_{1}^{10} \beta ^{5}\delta^{5} \\ & +5360x_{1}^{10} \beta^{4}\delta^{6}+674x_{1}^{10}\beta^{3} \delta^{7}+36x_{1}^{10}\beta^{2}{ \delta}^{8}-17{,}920x_{1}^{9} \beta^{11}-98{,}560x_{1}^{9}{ \beta}^{10}\delta \\ & -210{,}048x_{1}^{9} \beta^{9}\delta^{2}-238{,}144 x_{1}^{9} \beta^{8}\delta^{3}-160{,}480x_{1}^{9}\beta^{7} \delta^{4}-66{,}480x_{1}^{9} \beta^{6}\delta^{5} \\ &-16{,}600{{ x_{1}}}^{9} \beta^{5}\delta^{6}-2284x_{1}^{9} \beta^{4}{ \delta}^{7}-132x_{1}^{9} \beta^{3}\delta^{8}-16{,}384 x_{1}^{8} \beta^{12} -65{,}536x_{1}^{8}\beta^{11}\delta\\ &-114{,}688 x_{1}^{8}\beta^{10}\delta ^{2}-114{,}688x_{1}^{8}\beta^{9} \delta^{3}-71{,}680x_{1}^{8} \beta^{8}\delta^{4}-28{,}672x_{1}^{8} \beta^{7}\delta^{5} \\ & -7168x_{1}^{8}\beta^{6}{ \delta}^{6}-1024x_{1}^{8} \beta^{5}\delta^{7}-64x_{1} ^{8}\beta^{4}\delta^{8}+624hx_{1}^{17} \beta+312h{x_{1} }^{17}\delta+2448hx_{1}^{16} \beta^{2} \\ &+696hx_{1}^{16} \beta\delta -201hx_{1}^{16}\delta^{2}-19{,}776hx_{1}^{15 } \beta^{3}-24{,}768hx_{1}^{15} \beta^{2}\delta-9366h{x_{1} }^{15}\beta \delta^{2} \\ & -945hx_{1}^{15} \delta^{3}+17{,}056h{{ x_{1}}}^{14} \beta^{4}+33{,}292hx_{1}^{14}\beta^{3}\delta+ 23{,}612hx_{1}^{14}\beta^{2} \delta^{2}+7004hx_{1}^{14} \beta \delta^{3} \\ & +690hx_{1}^{14} \delta^{4}+2880h{x_{1} }^{13} \beta^{5}+8376hx_{1}^{13} \beta^{4}\delta+15{,}152hx_{1}^{13}\beta^{3} \delta^{2}+10{,}140hx_{1}^{13} \beta^{2 }\delta^{3} \\ & +2623hx_{1}^{13} \beta\delta^{4}+237h{{x_{1} }}^{13} \delta^{5}+31{,}392hx_{1}^{12} \beta^{6}+100{,}160h x_{1}^{12}\beta^{5} \delta\\ &+101{,}928hx_{1}^{12}\beta^{4}\delta ^{2}+45{,}860hx_{1}^{12}\beta^{3} \delta^{3}+9454hx_{1}^{12} \beta^{2}\delta^{4}+724hx_{1}^{12} \beta\delta^{5} \\ & + 14{,}976hx_{1}^{11}\beta^{7}+13{,}056hx_{1}^{11} \beta^{6} \delta+416hx_{1}^{11} \beta^{5}\delta^{2}-2344hx_{1}^{11} \beta^{4}\delta^{3}-228hx_{1}^{11} \beta^{3}\delta^{ 4} \\ &+340hx_{1}^{11} \beta^{2}\delta^{5} +82hx_{1}^{11} \beta\delta^{6}-6016hx_{1}^{10} \beta^{8}+3840h{x_{1} }^{10} \beta^{7}\delta+16{,}672hx_{1}^{10} \beta^{6}\delta^{2} \\ &+12{,}976hx_{1}^{10} \beta^{5}\delta^{3}+4392hx_{1}^{10} \beta^{4}\delta^{4} +668hx_{1}^{10}\beta^{3} \delta^{5}+ 30hx_{1}^{10} \beta^{2}\delta^{6}+1280hx_{1}^{9}{ \beta}^{9} \\ & -17{,}280hx_{1}^{9} \beta^{8}\delta-41{,}600hx_{1}^{9} \beta^{7}\delta^{2}-36{,}800hx_{1}^{9} \beta^{6}\delta^{3}-15{,}600hx_{1}^{9}\beta^{5} \delta^{4}\\ &-3160hx_{1}^{9} \beta^{4}\delta^{5}-240hx_{1}^{9} \beta^{3}\delta^{6}- 18{,}944hx_{1}^{8} \beta^{10}-56{,}832hx_{1}^{8} \beta^{9} \delta-71{,}040hx_{1}^{8} \beta^{8}\delta^{2} \\ & -47{,}360h x_{1}^{8}\beta^{7} \delta^{3}-17{,}760hx_{1}^{8} \beta^{6}\delta ^{4}-3552hx_{1}^{8} \beta^{5}\delta^{5}-296hx_{1}^{8} \beta^{4}\delta^{6}+9984x_{1}^{17} \beta^{2} \\ & +2496 x_{1}^{17}\beta\delta-312x_{1}^{17}\delta^{2}-107{,}328x_{1}^{16} \beta^{3}-79{,}728x_{1}^{16} \beta^{2}\delta-13{,}194 x_{1}^{16}\beta \delta^{2} \\ &+201x_{1}^{16}\delta^{3}+ 335{,}232x_{1}^{15}\beta^{4} +366{,}720x_{1}^{15}\beta^{3} \delta+141{,}600x_{1}^{15}\beta^{2} \delta^{2}+21{,}840{x_{1} }^{15}\beta \delta^{3} \\ & +945x_{1}^{15}\delta^{4}-365{,}664{{ x_{1}}}^{14}\beta^{5}-298{,}448x_{1}^{14} \beta^{4}\delta-49{,}660x_{1}^{14}\beta^{3} \delta^{2}+3152x_{1}^{14}{ \beta}^{2}\delta^{3} \\ & -2198x_{1}^{14} \beta\delta^{4}-690{ x_{1}}^{14} \delta^{5}+312{,}768x_{1}^{13} \beta^{6}+10{,}176{ x_{1}}^{13} \beta^{5}\delta-409{,}984x_{1}^{13}\beta^{4}{ \delta}^{2}\\ &-310{,}980x_{1}^{13} \beta^{3}\delta^{3}-89{,}286{{ x_{1}}}^{13} \beta^{2}\delta^{4}-9789x_{1}^{13} \beta{ \delta}^{5}-237x_{1}^{13} \delta^{6}-390{,}272x_{1}^{12}{ \beta}^{7} \\ & -551{,}232x_{1}^{12}\beta^{6} \delta-419{,}520x_{1} ^{12}\beta^{5} \delta^{2}-249{,}896x_{1}^{12} \beta^{4}{\delta }^{3}-102{,}636x_{1}^{12} \beta^{3}\delta^{4} \\ & -23{,}146x_{1} ^{12}\beta^{2}\delta^{5}-2124x_{1}^{12}\beta\delta^{6}- 325{,}760x_{1}^{11}\beta^{8}-1{,}445{,}760x_{1}^{11} \beta^{7} \delta \\ &-2{,}018{,}624x_{1}^{11} \beta^{6}\delta^{2}-1{,}335{,}504{ x}_{3}^{11} \beta^{5}\delta^{3} -463{,}424x_{1}^{11}\beta^{4}{ \delta}^{4}-82{,}156x_{1}^{11} \beta^{3}\delta^{5} \\ & -6208{ x}_{3}^{11} \beta^{2}\delta^{6}-82x_{1}^{11} \beta\delta^{7 }+139{,}392x_{1}^{10} \beta^{9}+688{,}640x_{1}^{10} \beta^{8 }\delta+1{,}034{,}016x_{1}^{10}\beta^{7} \delta^{2}\\&+731{,}296x_{1}^{10}\beta^{6} \delta^{3}+267{,}168x_{1}^{10} \beta^{5}{ \delta}^{4}+45{,}408x_{1}^{10} \beta^{4}\delta^{5}+1256 x_{1}^{10} \beta^{3}\delta^{6} \\ & -392x_{1}^{10}\beta^{2}{ \delta}^{7}-178{,}688x_{1}^{9} \beta^{10}-708{,}864x_{1}^{9}{ \beta}^{9}\delta-1{,}044{,}736x_{1}^{9} \beta^{8}\delta^{2} \\ & -788{,}160 x_{1}^{9} \beta^{7}\delta^{3}-339{,}360x_{1}^{9} \beta^{6}\delta^{4}-85{,}424x_{1}^{9}\beta^{5} \delta^{5}-11{,}872{{ x_{1}}}^{9} \beta^{4}\delta^{6} \\ & -708x_{1}^{9} \beta^{3}{ \delta}^{7}+177{,}664x_{1}^{8} \beta^{11}+809{,}984x_{1}^{8}{ \beta}^{10}\delta+1{,}440{,}384x_{1}^{8} \beta^{9}\delta^{2}\\ &+1{,}340{,}800x_{1}^{8}\beta^{8} \delta^{3}+716{,}960x_{1}^{8}{ \beta}^{7}\delta^{4}+221{,}952x_{1}^{8} \beta^{6}\delta^{5}+ 36{,}952x_{1}^{8} \beta^{5}\delta^{6} \\ & +2552x_{1}^{8}{ \beta}^{4}\delta^{7}+131{,}072x_{1}^{7} \beta^{12}+458{,}752 x_{1}^{7}\beta^{11} \delta+688{,}128x_{1}^{7}\beta^{10}{ \delta}^{2} \\ &+573{,}440x_{1}^{7} \beta^{9}\delta^{3}+286{,}720{{ x_{1}}}^{7} \beta^{8}\delta^{4}+86{,}016x_{1}^{7} \beta^{7}{ \delta}^{5} +14{,}336x_{1}^{7}\beta^{6} \delta^{6}\\&+1024x_{1}^{7}\beta^{5} \delta^{7}-570{h}^{2}x_{1}^{15} \beta-240 {h}^{2}x_{1}^{15} \delta-288{h}^{2}x_{1}^{14} \beta^{2}+ 180{h}^{2}x_{1}^{14} \beta\delta \\ & +171{h}^{2}x_{1}^{14}{ \delta}^{2}+1144{h}^{2}x_{1}^{13} \beta^{3} +2788{h}^{2}x_{1}^{13} \beta^{2}\delta+1475{h}^{2}x_{1}^{13} \beta{ \delta}^{2}+179{h}^{2}x_{1}^{13} \delta^{3} \\ & +5656{h}^{2}{x_{1}}^{12} \beta^{4}+8972{h}^{2}x_{1}^{12} \beta^{3}\delta +4028{h}^{2}x_{1}^{12} \beta^{2}\delta^{2}+478{h}^{2}{{ x_{1}}}^{12}\beta\delta^{3} \\ & +6080{h}^{2}x_{1}^{11} \beta^{ 5}+7376{h}^{2}x_{1}^{11} \beta^{4}\delta+3336{h}^{2}x_{1}^{11} \beta^{3}\delta^{2}+774{h}^{2}x_{1}^{11} \beta^{2}{ \delta}^{3}+95{h}^{2}x_{1}^{11} \beta\delta^{4} \\ &-2400{h}^{2 }x_{1}^{10} \beta^{6}-1080{h}^{2}x_{1}^{10} \beta^{5} \delta+24{h}^{2}x_{1}^{10} \beta^{4}\delta^{2} -114{h}^{2}x_{1}^{10} \beta^{3}\delta^{3}-48{h}^{2}x_{1}^{10}{ \beta }^{2}\delta^{4} \\ & +3168{h}^{2}x_{1}^{9} \beta^{7}+2064{h}^{2} x_{1}^{9} \beta^{6}\delta-648{h}^{2}x_{1}^{9} \beta^{5}{ \delta}^{2}-612{h}^{2}x_{1}^{9} \beta^{4}\delta^{3}-84{h}^{2}x_{1}^{9}\beta^{3} \delta^{4}\\ &-6400{h}^{2}x_{1}^{8}{ \beta}^{8}-12{,}800{h}^{2}x_{1}^{8} \beta^{7}\delta-9600{h}^{2} x_{1}^{8} \beta^{6}\delta^{2}-3200{h}^{2}x_{1}^{8}{ \beta}^{5}\delta^{3}-400{h}^{2}x_{1}^{8} \beta^{4}\delta^{ 4} \\ & -624hx_{1}^{16}\beta-4896hx_{1}^{15} \beta^{2}+444h x_{1}^{15}\beta \delta+480hx_{1}^{15}\delta^{2}+61{,}392 hx_{1}^{14}\beta^{3} \\ &+49{,}584hx_{1}^{14} \beta^{2}\delta +8226hx_{1}^{14}\beta\delta^{2}-342hx_{1}^{14}{ \delta }^{3}-81{,}904hx_{1}^{13} \beta^{4}-113{,}384hx_{1}^{13}{ \beta}^{3}\delta \\ & -53{,}736hx_{1}^{13} \beta^{2}\delta^{2}-9318 hx_{1}^{13} \beta\delta^{3}-358hx_{1}^{13}\delta^{4}+ 6624hx_{1}^{12}\beta^{5}-30{,}264hx_{1}^{12} \beta^{4} \delta \end{aligned}$$
$$\begin{aligned} \hphantom{f_{2}:={}}&-60{,}108hx_{1}^{12} \beta^{3}\delta^{2}-27{,}738h{{x_{1} }}^{12}\beta^{2}\delta^{3}-3598hx_{1}^{12} \beta\delta^{ 4} -201{,}984hx_{1}^{11}\beta^{6}\\ &-454{,}384hx_{1}^{11} \beta ^{5}\delta-327{,}136hx_{1}^{11} \beta^{4}\delta^{2}-95{,}752h{{ x_{1}}}^{11} \beta^{3}\delta^{3}-10{,}416hx_{1}^{11} \beta^{2 }\delta^{4} \\ & -190hx_{1}^{11}\beta\delta^{5}-29{,}376h x_{1}^{10}\beta^{7}+15{,}712hx_{1}^{10} \beta^{6}\delta+28{,}704h x_{1}^{10} \beta^{5}\delta^{2} \\ & +4464hx_{1}^{10} \beta^{ 4}\delta^{3}-3292hx_{1}^{10} \beta^{3}\delta^{4}-948h{{ x_{1}}}^{10}\beta^{2} \delta^{5}-13{,}312hx_{1}^{9} \beta^{8} \\& -117{,}312hx_{1}^{9} \beta^{7}\delta-142{,}368hx_{1}^{9}{ \beta}^{6}\delta^{2}-67{,}040hx_{1}^{9} \beta^{5}\delta^{3}- 13{,}752hx_{1}^{9} \beta^{4}\delta^{4} \\ & -996hx_{1}^{9}{ \beta}^{3} \delta^{5}+12{,}800hx_{1}^{8} \beta^{9}+137{,}600h{{ x_{1}}}^{8} \beta^{8}\delta+217{,}600hx_{1}^{8} \beta^{7}{ \delta}^{2} \\ &+136{,}000hx_{1}^{8} \beta^{6}\delta^{3}+37{,}600h{{ x_{1}}}^{8} \beta^{5}\delta^{4} +3800hx_{1}^{8}\beta^{4}{ \delta}^{5}+113{,}664hx_{1}^{7} \beta^{10} \\ &+284{,}160hx_{1}^{7 } \beta^{9}\delta+284{,}160hx_{1}^{7} \beta^{8}\delta^{2}+ 142{,}080hx_{1}^{7} \beta^{7}\delta^{3} +35{,}520hx_{1}^{7}{ \beta}^{6} \delta^{4}\\ &+3552hx_{1}^{7} \beta^{5}\delta^{5}- 4992x_{1}^{16} \beta^{2}+624x_{1}^{16}\beta\delta+ 102{,}336x_{1}^{15}\beta^{3}+41{,}040x_{1}^{15} \beta^{2} \delta \\ & +126x_{1}^{15}\beta\delta^{2}-240x_{1}^{15}{ \delta}^{3}-435{,}456x_{1}^{14} \beta^{4}-354{,}240x_{1}^{14} \beta^{3}\delta-96{,}504x_{1}^{14} \beta^{2}\delta^{2} \\ &-8406 x_{1}^{14} \beta\delta^{3}+171x_{1}^{14} \delta^{4} + 430{,}272x_{1}^{13}\beta^{5}+188{,}128x_{1}^{13} \beta^{4} \delta+20{,}524x_{1}^{13} \beta^{3}\delta^{2} \\ &+25{,}260x_{1} ^{13}\beta^{2}\delta^{3}+7843x_{1}^{13} \beta\delta^{4}+ 179x_{1}^{13} \delta^{5} -142{,}080x_{1}^{12}\beta^{6}+ 782{,}208x_{1}^{12}\beta^{5} \delta\\ &+993{,}824x_{1}^{12}{\beta }^{4} \delta^{2}+410{,}460x_{1}^{12} \beta^{3}\delta^{3}+65{,}790 x_{1}^{12} \beta^{2}\delta^{4}+3120x_{1}^{12} \beta{ \delta}^{5} \\ & +428{,}544x_{1}^{11}\beta^{7}+475{,}008x_{1}^{11} \beta^{6}\delta+566{,}064x_{1}^{11} \beta^{5}\delta^{2}+ 438{,}704x_{1}^{11} \beta^{4}\delta^{3} \\ & +149{,}388x_{1}^{11} \beta^{3}\delta^{4}+18{,}326x_{1}^{11} \beta^{2}\delta^{5}+95x_{1}^{11}\beta\delta^{6}+1{,}612{,}800x_{1}^{10} \beta ^{8}\\ &+4{,}658{,}048x_{1}^{10} \beta^{7}\delta+4{,}670{,}528x_{1}^{10 } \beta^{6}\delta^{2}+2{,}177{,}712x_{1}^{10} \beta^{5}\delta^{ 3}+489{,}232x_{1}^{10} \beta^{4}\delta^{4} \\ & +46{,}030x_{1}^{ 10}\beta^{3} \delta^{5}+996x_{1}^{10}\beta^{2} \delta^{6} -885{,}248x_{1}^{9} \beta^{9}-2{,}637{,}696x_{1}^{9} \beta^{8} \delta \\ & -2{,}716{,}800x_{1}^{9} \beta^{7}\delta^{2}-1{,}264{,}704 x_{1}^{9} \beta^{6}\delta^{3}-249{,}576x_{1}^{9}\beta^{5}{ \delta}^{4} -4356x_{1}^{9} \beta^{4}\delta^{5} \\ & +3416{{x_{1} }}^{9}\beta^{3}\delta^{6}+912{,}384x_{1}^{8} \beta^{10}+ 2{,}799{,}744x_{1}^{8} \beta^{9}\delta+3{,}244{,}160x_{1}^{8}{\beta }^{8}\delta^{2}\\ &+1{,}875{,}520x_{1}^{8}\beta^{7} \delta^{3}+ 581{,}760x_{1}^{8} \beta^{6}\delta^{4}+93{,}352x_{1}^{8}{ \beta}^{5}\delta^{5}+6152x_{1}^{8} \beta^{4}\delta^{6} \\ & - 741{,}888x_{1}^{7} \beta^{11}-2{,}790{,}144x_{1}^{7} \beta^{10} \delta-4{,}051{,}200x_{1}^{7}\beta^{9} \delta^{2}-2{,}981{,}760x_{1}^{7} \beta^{8}\delta ^{3}\\ &-1{,}188{,}000x_{1}^{7} \beta^{7}{ \delta}^{4}-244{,}464x_{1}^{7} \beta^{6}\delta^{5}-20{,}352 x_{1}^{7} \beta^{5}\delta ^{6}-458{,}752x_{1}^{6} \beta^{12} \\ & -1{,}376{,}256x_{1}^{6}\beta^{11} \delta-1{,}720{,}320x_{1}^{6}{ \beta}^{10} \delta^{2}-1{,}146{,}880x_{1}^{6} \beta^{9}\delta^{3} -430{,}080x_{1}^{6} \beta^{8}\delta^{4} \\ & -86{,}016x_{1}^{6}{ \beta}^{7}\delta^{5}-7168x_{1}^{6} \beta^{6}\delta^{6}+9 {h}^{3}x_{1}^{14} +72{h}^{3}x_{1}^{13} \beta+36{h}^{3} x_{1}^{13} \delta+192{h}^{3}x_{1}^{12} \beta^{2} \\ & +99{h}^{3} x_{1}^{12} \beta\delta+540{h}^{3}x_{1}^{11} \beta^{3}+ 342{h}^{3}x_{1}^{11} \beta^{2}\delta+36{h}^{3}x_{1}^{11 }\beta \delta^{2}-48{h}^{3}x_{1}^{10} \beta^{4} \\ & -108{h}^{3 }x_{1}^{10} \beta^{3}\delta-42{h}^{3}x_{1}^{10} \beta^{2 }\delta^{2}+432{h}^{3}x_{1}^{9} \beta^{5}+264{h}^{3} x_{1}^{9} \beta^{4}\delta+24{h}^{3}x_{1}^{9}\beta^{3} \delta ^{2}\\ &-672{h}^{3}x_{1}^{8} \beta^{6} -672{h}^{3}x_{1}^{8}{ \beta}^{5}\delta-168{h}^{3}x_{1}^{8} \beta^{4}\delta^{2}+570 {h}^{2}x_{1}^{14} \beta-27{h}^{2}x_{1}^{14}\delta \\ &-684{h }^{2}x_{1}^{13}\beta\delta -108{h}^{2}x_{1}^{13} \delta^{2}-4656{h}^{2}x_{1}^{12} \beta^{3}-6356{h}^{2}x_{1}^{ 12} \beta^{2}\delta -1559{h}^{2}x_{1}^{12} \beta\delta^{2} \\ & - 17{,}664{h}^{2}x_{1}^{11} \beta^{4}-18{,}760{h}^{2}x_{1}^{11} \beta^{3}\delta-4478{h}^{2}x_{1}^{11} \beta^{2}\delta^{2}- 108{h}^{2}x_{1}^{11} \beta\delta^{3} \\ &-17{,}056{h}^{2}{x_{1} }^{10}\beta^{5}-15{,}600{h}^{2}x_{1}^{10} \beta^{4}\delta-5220 {h}^{2}x_{1}^{10} \beta^{3}\delta^{2} -772{h}^{2}x_{1} ^{10} \beta^{2}\delta^{3}\\ &+2784{h}^{2}x_{1}^{9} \beta^{6}- 4752{h}^{2}x_{1}^{9} \beta^{5}\delta-2928{h}^{2}x_{1}^{ 9} \beta^{4}\delta^{2}-180{h}^{2}x_{1}^{9} \beta^{3}{\delta }^{3}-9696{h}^{2}x_{1}^{8} \beta^{7} \\ & -1728{h}^{2}x_{1}^{ 8} \beta^{6}\delta+3528{h}^{2}x_{1}^{8} \beta^{5}\delta^{2} +984{h}^{2}x_{1}^{8} \beta^{4}\delta^{3}+25{,}600{h}^{2}{{ x_{1}}}^{7}\beta^{8} \\ & +38{,}400{h}^{2}x_{1}^{7} \beta^{7}\delta+ 19{,}200{h}^{2}x_{1}^{7} \beta^{6}\delta^{2}+3200{h}^{2}x_{1}^{7} \beta^{5}\delta^{3}+2448hx_{1}^{14} \beta^{2}\\ &- 1140hx_{1}^{14}\beta\delta +27hx_{1}^{14}\delta^{2}- 63{,}456hx_{1}^{13}\beta^{3}-24{,}240hx_{1}^{13} \beta^{2} \delta+1152hx_{1}^{13}\beta\delta^{2} \\ &+108hx_{1}^{13} \delta^{3}+137{,}616hx_{1}^{12} \beta^{4}+125{,}868hx_{1}^{ 12} \beta^{3}\delta+35{,}244hx_{1}^{12} \beta^{2}\delta^{2} \\ & + 2821hx_{1}^{12} \beta\delta^{3}-28{,}320hx_{1}^{11}{ \beta}^{5}+72{,}360hx_{1}^{11} \beta^{4}\delta+87{,}216hx_{1} ^{11} \beta^{3}\delta^{2} \\ & +19{,}458hx_{1}^{11} \beta^{2}{\delta }^{3}+108hx_{1}^{11} \beta\delta^{4}+482{,}496hx_{1}^{10 } \beta^{6}+748{,}496hx_{1}^{10}\beta^{5} \delta\\&+347{,}640hx_{1}^{10}\beta^{4}\delta ^{2}+54{,}032hx_{1}^{10}\beta^{3}{ \delta}^{3}+1670hx_{1}^{10} \beta^{2}\delta^{4}-31{,}744h{{ x_{1}}}^{9} \beta^{7} \\ & -108{,}576hx_{1}^{9}\beta^{6}\delta-30{,}384 hx_{1}^{9}\beta^{5}\delta^{2}+15{,}712hx_{1}^{9} \beta ^{4}\delta^{3}+5496hx_{1}^{9} \beta^{3}\delta^{4} \\ & +151{,}040 hx_{1}^{8} \beta^{8}+419{,}328hx_{1}^{8} \beta^{7}\delta+ 318{,}432hx_{1}^{8}\beta^{6} \delta^{2}+92{,}272hx_{1}^{8}{ \beta}^{5}\delta^{3}\\ &+9000hx_{1}^{8} \beta^{4}\delta^{4}- 83{,}200hx_{1}^{7} \beta^{9}-377{,}600hx_{1}^{7} \beta^{8} \delta-403{,}200hx_{1}^{7} \beta^{7}\delta^{2} \\ & -161{,}600hx_{1}^{7}\beta^{6} \delta^{3}-22{,}000hx_{1}^{7} \beta^{5}{ \delta}^{4}-284{,}160hx_{1}^{6} \beta^{10}-568{,}320hx_{1}^{6 } \beta^{9}\delta \\ &-426{,}240hx_{1}^{6} \beta^{8}\delta^{2} -142{,}080hx_{1}^{6}\beta^{7} \delta^{3}-17{,}760hx_{1}^{6}{ \beta}^{6}\delta^{4}-32{,}448x_{1}^{14} \beta^{3} \\ & -2448x_{1}^{14}\beta^{2} \delta +570x_{1}^{14}\beta\delta^{2}-9 x_{1}^{14}\delta^{3}+245{,}376x_{1}^{13}\beta^{4}+143{,}040 x_{1}^{13}\beta^{3}\delta \\ & +24{,}240x_{1}^{13} \beta^{2}{ \delta}^{2}-540x_{1}^{13} \beta\delta^{3}-36x_{1}^{13 } \delta^{4}-144{,}192x_{1}^{12} \beta^{5}-8992x_{1}^{12} \beta^{4} \delta\\ &-56{,}436x_{1}^{12}\beta^{3} \delta^{2}-29{,}080 x_{1}^{12} \beta^{2}\delta^{3}-1361x_{1}^{12} \beta{ \delta}^{4}-533{,}120x_{1}^{11} \beta^{6} \\ & -1{,}425{,}312x_{1}^{11 } \beta^{5}\delta-886{,}928x_{1}^{11}\beta^{4} \delta^{2}- 202{,}260x_{1}^{11} \beta^{3}\delta^{3}-15{,}322x_{1}^{11}{ \beta}^{2}\delta^{4} \\ &-36x_{1}^{11} \beta\delta^{5}+133{,}376 x_{1}^{10} \beta^{7}-56{,}960x_{1}^{10} \beta^{6}\delta - 665{,}360x_{1}^{10}\beta^{5} \delta^{2}-434{,}232x_{1}^{10} \beta^{4}\delta^{3}\\&-77{,}448x_{1}^{10} \beta^{3}\delta^{4}- 856x_{1}^{10} \beta^{2}\delta^{5}-3{,}612{,}160x_{1}^{9}{ \beta}^{8}-7{,}345{,}024x_{1}^{9} \beta^{7}\delta \\ & -5{,}143{,}680{x_{1} }^{9}\beta^{6} \delta^{2}-1{,}545{,}648x_{1}^{9} \beta^{5}{\delta }^{3}-184{,}952x_{1}^{9} \beta^{4}\delta^{4}-5340x_{1}^{ 9} \beta^{3}\delta^{5} \\ & +2{,}267{,}392x_{1}^{8} \beta^{9}+4{,}674{,}560 x_{1}^{8} \beta^{8}\delta+3{,}189{,}760x_{1}^{8}\beta^{7}{ \delta}^{2}+793{,}856x_{1}^{8} \beta^{6}\delta^{3}\\ &+4680 x_{1}^{8} \beta^{5}\delta^{4}-17{,}640x_{1}^{8} \beta^{4}{ \delta}^{5}-2{,}352{,}640x_{1}^{7} \beta^{10}-5{,}672{,}960x_{1}^{7 } \beta^{9}\delta \\ & -5{,}053{,}440x_{1}^{7}\beta^{8} \delta^{2}- 2{,}117{,}120x_{1}^{7} \beta^{7}\delta^{3}-421{,}920x_{1}^{7}{ \beta}^{6}\delta^{4}-32{,}320x_{1}^{7} \beta^{5}\delta^{5} \\ &+ 1{,}723{,}904x_{1}^{6} \beta^{11} +5{,}250{,}560x_{1}^{6}\beta^{10 } \delta+6{,}001{,}920x_{1}^{6}\beta^{9} \delta^{2}+3{,}281{,}920 x_{1}^{6}\beta^{8} \delta^{3} \\ &+867{,}040x_{1}^{6} \beta^{7}{ \delta}^{4}+88{,}992x_{1}^{6} \beta^{6}\delta^{5} +917{,}504x_{1}^{5}\beta^{12}+2{,}293{,}760x_{1}^{5} \beta^{11}\delta \\ &+ 2{,}293{,}760x_{1}^{5} \beta^{10}\delta^{2}+1{,}146{,}880x_{1}^{5 } \beta^{9}\delta^{3}+286{,}720x_{1}^{5} \beta^{8}\delta^{4}+28{,}672x_{1}^{5}\beta^{7} \delta^{5}\\&-72{h}^{3}x_{1}^{ 12} \beta-192{h}^{3}x_{1}^{11} \beta^{2}-828{h}^{3}x_{1} ^{10} \beta^{3}-216{h}^{3}x_{1}^{10} \beta^{2}\delta+96{h}^{3}x_{1}^{9} \beta^{4} \\ & +108{h}^{3}x_{1}^{9} \beta^{3} \delta-864{h}^{3}x_{1}^{8} \beta^{5}-264{h}^{3}x_{1}^{8 } \beta^{4}\delta+1344{h}^{3}x_{1}^{7} \beta^{6}+672{h}^{3} x_{1}^{7} \beta^{5}\delta \\ &+288{h}^{2}x_{1}^{12} \beta^{2} +216{h}^{2}x_{1}^{12} \beta\delta +5880{h}^{2}x_{1}^{11} \beta^{3}+3568{h}^{2}x_{1}^{11} \beta^{2}\delta+18{,}360{h}^{ 2}x_{1}^{10} \beta^{4} \\ & +10{,}652{h}^{2}x_{1}^{10} \beta^{3} \delta+648{h}^{2}x_{1}^{10} \beta^{2}\delta^{2}+17{,}664{h}^{ 2}x_{1}^{9} \beta^{5}+12{,}048{h}^{2}x_{1}^{9} \beta^{4} \delta\\ &+2628{h}^{2}x_{1}^{9} \beta^{3}\delta^{2}+6048{h}^{2 }x_{1}^{8} \beta^{6}+12{,}744{h}^{2}x_{1}^{8} \beta^{5} \delta+2904{h}^{2}x_{1}^{8} \beta^{4}\delta^{2}+10{,}080{h}^{ 2}x_{1}^{7} \beta^{7} \\ & -2736{h}^{2}x_{1}^{7} \beta^{6} \delta-2880{h}^{2}x_{1}^{7} \beta^{5}\delta^{2}-38{,}400{h}^{ 2}x_{1}^{6} \beta^{8}-38{,}400{h}^{2}x_{1}^{6} \beta^{7} \delta \\ &-9600{h}^{2}x_{1}^{6} \beta^{6}\delta^{2}+21{,}840h{{ x_{1}}}^{12} \beta^{3} -576hx_{1}^{12}\beta^{2}\delta-216h x_{1}^{12}\beta\delta^{2}-97{,}744hx_{1}^{11} \beta^{4} \\ & - 50{,}512hx_{1}^{11} \beta^{3}\delta-6560hx_{1}^{11}\beta ^{2}\delta^{2}+16{,}416hx_{1}^{10} \beta^{5}-87{,}432hx_{1} ^{10}\beta^{4} \delta\\&-43{,}124hx_{1}^{10}\beta^{3} \delta^{2}- 648hx_{1}^{10} \beta^{2}\delta^{3}-549{,}504hx_{1}^{9}{ \beta}^{6}-538{,}064hx_{1}^{9} \beta^{5}\delta \\ & -130{,}224hx_{1}^{9}\beta^{4} \delta^{2}-5580hx_{1}^{9} \beta^{3}\delta^{3}+121{,}216hx_{1}^{8} \beta^{7}+100{,}896hx_{1}^{8} \beta^{6}\delta \end{aligned}$$
$$\begin{aligned} \hphantom{f_{2}:={}}&-27{,}008hx_{1}^{8} \beta^{5}\delta^{2} -17{,}832hx_{1}^{8}\beta^{4} \delta^{3}-350{,}720hx_{1}^{7} \beta^{8}- 592{,}512hx_{1}^{7} \beta^{7}\delta \\ & -276{,}448hx_{1}^{7}{\beta }^{6}\delta^{2}-38{,}208hx_{1}^{7} \beta^{5}\delta^{3}+179{,}200 hx_{1}^{6} \beta^{9}+480{,}000hx_{1}^{6}\beta^{8}\delta\\ &+ 320{,}000hx_{1}^{6}\beta^{7} \delta^{2}+62{,}400hx_{1}^{6}{ \beta}^{6}\delta^{3}+378{,}880hx_{1}^{5} \beta^{10}+568{,}320h{{ x_{1}}}^{5} \beta^{9}\delta \\ & +284{,}160hx_{1}^{5}\beta^{8}{ \delta}^{2}+47{,}360hx_{1}^{5} \beta^{7}\delta^{3}-50{,}112{{ x_{1}}}^{12} \beta^{4}-21{,}840x_{1}^{12} \beta^{3}\delta \\ & +288 x_{1}^{12} \beta^{2}\delta^{2}+72x_{1}^{12} \beta{ \delta}^{3}-63{,}456x_{1}^{11}\beta^{5}+18{,}512x_{1}^{11}{ \beta}^{4}\delta+44{,}632x_{1}^{11} \beta^{3}\delta^{2} \\ & +3184{ x_{1}}^{11} \beta^{2}\delta^{3}+843{,}840x_{1}^{10} \beta^{ 6}+967{,}728x_{1}^{10} \beta^{5}\delta+309{,}040x_{1}^{10}{ \beta}^{4} \delta^{2}\\ &+33{,}300x_{1}^{10} \beta^{3}\delta^{3}+ 216x_{1}^{10} \beta^{2}\delta^{4}-606{,}464x_{1}^{9}{ \beta}^{7}+58{,}752x_{1}^{9} \beta^{6}\delta+559{,}920x_{1}^{ 9} \beta^{5}\delta^{2} \\ & +171{,}824x_{1}^{9}\beta^{4} \delta^{3 }+2844x_{1}^{9} \beta^{3}\delta^{4}+4{,}401{,}280x_{1}^{8}{ \beta}^{8}+6{,}167{,}456x_{1}^{8} \beta^{7}\delta \\ & +2{,}747{,}072{x_{1} }^{8} \beta^{6}\delta^{2}+431{,}496x_{1}^{8} \beta^{5}\delta ^{3}+15{,}192x_{1}^{8}\beta^{4} \delta^{4}-3{,}089{,}280x_{1}^{7} \beta^{9}\\ &-4{,}290{,}880x_{1}^{7} \beta^{8}\delta-1{,}620{,}960{{ x_{1}}}^{7} \beta^{7}\delta^{2}-28{,}144x_{1}^{7} \beta^{6}{ \delta}^{3}+54{,}096x_{1}^{7} \beta^{5}\delta^{4} \\ & +3{,}543{,}040x_{1}^{6}\beta^{10}+6{,}564{,}480x_{1}^{6} \beta^{9}\delta+ 4{,}249{,}600x_{1}^{6} \beta^{8}\delta^{2}+1{,}150{,}560x_{1}^{6} \beta^{7}\delta^{3} \\ & +110{,}400x_{1}^{6} \beta^{6}\delta^{4}- 2{,}455{,}040x_{1}^{5} \beta^{11}-5{,}850{,}880x_{1}^{5}\beta^{10 } \delta-4{,}951{,}680x_{1}^{5}\beta^{9} \delta^{2} \\ &-1{,}791{,}040x_{1}^{5} \beta^{8}\delta ^{3}-235{,}520x_{1}^{5} \beta^{7}{ \delta}^{4}-1{,}146{,}880x_{1}^{4} \beta^{12} -2{,}293{,}760x_{1}^{4 }\beta^{11} \delta\\ &-1{,}720{,}320x_{1}^{4}\beta^{10} \delta^{2}- 573{,}440x_{1}^{4} \beta^{9}\delta^{3}-71{,}680x_{1}^{4}{ \beta}^{8}\delta^{4}+288{h}^{3}x_{1}^{9} \beta^{3}-48{h}^{ 3}x_{1}^{8} \beta^{4} \\ & +432{h}^{3}x_{1}^{7} \beta^{5}-672 {h}^{3}x_{1}^{6} \beta^{6} -2368{h}^{2}x_{1}^{10} \beta ^{3}-6352{h}^{2}x_{1}^{9} \beta^{4}-864{h}^{2}x_{1}^{9} \beta^{3}\delta \\ & -8480{h}^{2}x_{1}^{8} \beta^{5}-3824{h}^{2} x_{1}^{8} \beta^{4}\delta-10{,}848{h}^{2}x_{1}^{7} \beta^{6 }-6912{h}^{2}x_{1}^{7} \beta^{5}\delta-3744{h}^{2}x_{1} ^{6}\beta^{7} \\ & +2400{h}^{2}x_{1}^{6} \beta^{6}\delta+25{,}600{h }^{2}x_{1}^{5} \beta^{8}+12{,}800{h}^{2}x_{1}^{5} \beta^{7} \delta+24{,}976hx_{1}^{10}\beta^{4}+4736hx_{1}^{10}{ \beta }^{3}\delta\\&+11{,}232hx_{1}^{9} \beta^{5}+36{,}960hx_{1}^{9}{ \beta}^{4}\delta+864hx_{1}^{9} \beta^{3}\delta^{2}+302{,}496h x_{1}^{8} \beta^{6}+147{,}376hx_{1}^{8}\beta^{5}\delta \\ &+ 7792hx_{1}^{8}\beta^{4} \delta^{2}-104{,}064hx_{1}^{7}{ \beta}^{7}-4192hx_{1}^{7} \beta^{6}\delta+28{,}272hx_{1}^{ 7} \beta^{5}\delta^{2}+369{,}280hx_{1}^{6} \beta^{8} \\ & +377{,}088h x_{1}^{6}\beta^{7} \delta+83{,}712hx_{1}^{6}\beta^{6}{ \delta}^{2}-185{,}600hx_{1}^{5} \beta^{9}-291{,}200hx_{1}^{5} \beta^{8}\delta \\ & -92{,}800hx_{1}^{5} \beta^{7}\delta^{2} -284{,}160hx_{1}^{4} \beta^{10}-284{,}160hx_{1}^{4}\beta^{9}\delta -71{,}040hx_{1}^{4}\beta^{8} \delta^{2} \\ & +38{,}304x_{1}^{10}{ \beta}^{5}-24{,}976x_{1}^{10} \beta^{4}\delta-2368x_{1}^{ 10} \beta^{3}\delta^{2}-475{,}968x_{1}^{9} \beta^{6}-244{,}512{ x_{1}}^{9}\beta^{5} \delta\\ &-30{,}608x_{1}^{9}\beta^{4}{\delta }^{2}-288x_{1}^{9}\beta^{3} \delta^{3}+432{,}000x_{1}^{8 } \beta^{7}-200{,}256x_{1}^{8} \beta^{6}\delta-193{,}392{x_{1} }^{8} \beta^{5}\delta^{2} \\ & -3920x_{1}^{8}\beta^{4} \delta^{ 3}-3{,}033{,}216x_{1}^{7} \beta^{8}-2{,}654{,}720x_{1}^{7} \beta^{ 7}\delta-590{,}912x_{1}^{7} \beta^{6}\delta^{2} \\ & -21{,}792{{x_{1} }}^{7}\beta^{5}\delta^{3}+2{,}387{,}584x_{1}^{6} \beta^{9}+1{,}954{,}560x_{1}^{6}\beta^{8} \delta+164{,}832x_{1}^{6}\beta ^{7} \delta^{2}\\ &-94{,}176x_{1}^{6} \beta^{6}\delta^{3}-3{,}270{,}144 x_{1}^{5} \beta^{10} -4{,}404{,}480x_{1}^{5} \beta^{9}\delta- 1{,}849{,}088x_{1}^{5} \beta^{8}\delta^{2} \\ & -242{,}752x_{1}^{5}{ \beta}^{7} \delta^{3}+2{,}204{,}160x_{1}^{4} \beta^{11}+3{,}870{,}720{{ x_{1}}}^{4} \beta^{10}\delta+2{,}160{,}768x_{1}^{4} \beta^{9}{ \delta}^{2} \\ &+388{,}224x_{1}^{4} \beta^{8}\delta^{3} +917{,}504x_{1}^{3}\beta^{12}+1{,}376{,}256x_{1}^{3} \beta^{11}\delta+ 688{,}128x_{1}^{3} \beta^{10}\delta^{2} \\ & +114{,}688x_{1}^{3}{ \beta}^{9}\delta^{3}+1792{h}^{2}x_{1}^{7} \beta^{5}+4416{h }^{2}x_{1}^{6} \beta^{6}+192{h}^{2}x_{1}^{5}\beta^{7}- 6400{h}^{2}x_{1}^{4}\beta^{8} \\ & -8832hx_{1}^{8} \beta^{5} -64{,}896hx_{1}^{7} \beta^{6}-3584hx_{1}^{7} \beta^{5} \delta+28{,}480hx_{1}^{6} \beta^{7}-16{,}896hx_{1}^{6}\beta ^{6} \delta\\ &-187{,}904hx_{1}^{5}\beta^{8}-90{,}432hx_{1}^{5}{ \beta}^{7}\delta+94{,}720hx_{1}^{4} \beta^{9}+68{,}480hx_{1}^{4} \beta^{8}\delta \\ &+113{,}664hx_{1}^{3} \beta^{10} +56{,}832h x_{1}^{3}\beta^{9} \delta+95{,}872x_{1}^{8}\beta^{6}+8832{ x_{1}}^{8}\beta^{5}\delta-97{,}792x_{1}^{7} \beta^{7} \\ & +89{,}728 x_{1}^{7} \beta^{6}\delta+1792x_{1}^{7} \beta^{5}{ \delta}^{2}+1{,}114{,}880x_{1}^{6}\beta^{8}+462{,}016x_{1}^{6}{ \beta}^{7}\delta+12{,}480x_{1}^{6} \beta^{6}\delta^{2} \\ & -1{,}010{,}432 x_{1}^{5} \beta^{9}-317{,}440x_{1}^{5} \beta^{8}\delta+ 81{,}664x_{1}^{5} \beta^{7}\delta^{2}+1{,}829{,}888x_{1}^{4}{ \beta}^{10}\\ &+1{,}600{,}384x_{1}^{4} \beta^{9}\delta+327{,}296{x_{1} }^{4} \beta^{8}\delta^{2}-1{,}222{,}144x_{1}^{3} \beta^{11}- 1{,}410{,}304x_{1}^{3} \beta^{10}\delta \\ & -390{,}144x_{1}^{3}\beta^{9} \delta^{2} -458{,}752x_{1}^{2} \beta^{12}-458{,}752x_{1}^{2} \beta^{11}\delta-114{,}688x_{1}^{2}\beta ^{10}\delta^{2} +512hx_{1}^{5} \beta^{7} \\ & +37{,}632hx_{1}^{4} \beta^{8}-19{,}200hx_{1}^{3}\beta^{9}-18{,}944hx_{1}^{2} \beta^{10}- 2048x_{1}^{6} \beta^{7}-170{,}240x_{1}^{5} \beta^{8} \\ &-512 x_{1}^{5}\beta^{7} \delta+196{,}608x_{1}^{4}\beta^{9} -20{,}224x_{1}^{4}\beta^{8} \delta-571{,}904x_{1}^{3}\beta^{ 10}-244{,}224x_{1}^{3} \beta^{9}\delta \\ &+383{,}488x_{1}^{2}{ \beta}^{11}+218{,}624x_{1}^{2} \beta^{10}\delta+131{,}072x_{1} \beta^{12} +65{,}536x_{1}\beta^{11}\delta-8192x_{1}^{3 } \beta^{9}\\ &+76{,}800x_{1}^{2}\beta^{10}-52{,}224x_{1}{ \beta }^{11}-16{,}384\beta^{12}. \end{aligned}$$
\(g_{1}\) and \(g_{2}\) in Theorem 3.1 are given by
$$\begin{aligned} g_{1}={}& 256 h^{2} \beta^{9}-1408 h^{2} \beta^{8}\delta-3264 h^{2} \beta ^{7}\delta^{2} -4128 h^{2} \beta^{6}\delta^{3}-3072 h^{2} \beta^{5}\delta^{4}-1344 h^{2} \beta^{4}\delta^{5} \\ & -320 h ^{2} \beta^{3}\delta^{6}-32 h^{2} \beta^{2} \delta^{7}+1024 h \beta^{1}0 +6144 h\beta^{9}\delta+15{,}872 h \beta^{8}\delta^{2} +23{,}040 h\beta^{7} \delta^{3} \\ &+20{,}544 h\beta^{6}\delta^{4}+ 11{,}520 h \beta^{5}\delta^{5} +3968 h\beta^{4}\delta^{6}+768 h \beta ^{3}\delta^{7}+64 h\beta^{2} \delta^{8}-256 \beta^{9} \delta ^{2} \\ & -1408 \beta^{8}\delta^{3}-3456 \beta^{7} \delta^{4} -4992 \beta^{6}\delta^{5}-4608 \beta^{5}\delta^{6}-2688\beta^{4}\delta^{7}-896 \beta^{3} \delta^{8}\\&-128 \beta^{2} \delta ^{9}-64 h^{3}\beta^{7}-288 h^{3} \beta^{6}\delta-512 h^{3}\beta^{5} \delta^{2} -448 h^{3}\beta^{4} \delta^{3}-192 h^{3}\beta^{3} \delta^{4} \\ & -32 h^{3}\beta^{2} \delta^{5}+ 768 h^{2} \beta^{8}+3456 h^{2} \beta^{7}\delta+6624 h^{2} \beta ^{6} \delta^{2} +7104 h^{2} \beta^{5} \delta^{3}+4640 h^{2} \beta^{4} \delta^{4} \\ & +1824 h^{2} \beta^{3} \delta^{5}+384 h ^{2} \beta^{2} \delta^{6}+32 h^{2} \beta\delta^{7}-2304 h \beta ^{9}-11{,}136 h\beta^{8}\delta-23{,}808 h\beta^{7}\delta^{2} \\ &- 30{,}144 h\beta^{6}\delta^{3}-25{,}088 h\beta^{5} \delta^{4} -13{,}888 h\beta^{4}\delta^{5}-4800 h \beta^{3}\delta^{6}-896 h \beta ^{2} \delta^{7} \\ &-64 h\beta\delta^{8}+896 \beta^{8} \delta^{2} +3712 \beta^{7}\delta^{3}+6656 \beta^{6}\delta^{4}+7040 \beta ^{5} \delta^{5} +4928 \beta^{4}\delta^{6}+2240 \beta^{3} \delta^{7}\\& +576 \beta^{2} \delta^{8}+64 \beta \delta^{9}-96 h^{4}\beta^{5}-248 h^{4}\beta^{4}\delta-216 h^{4} \beta^{3} \delta^{2} -72 h^{4} \beta^{2} \delta^{3}-8 h^{4}\beta \delta ^{4} \\ &+960 h^{3} \beta^{6}+3072 h^{3}\beta^{5}\delta+ 3712 h^{3}\beta^{4}\delta^{2} +2112 h^{3}\beta^{3}\delta^{3}+576 h^{3}\beta^{2} \delta^{4}+64 h^{3}\beta\delta^{5} \\ & -3456 h^{2} \beta^{7}-12{,}544 h^{2} \beta^{6}\delta-18{,}944 h^{2} \beta^{5} \delta^{2} -15{,}584 h^{2} \beta^{4} \delta^{3}-7456 h^{2} \beta^{3} \delta^{4} \\ & -1952 h^{2} \beta^{2} \delta^{5}- 224 h^{2} \beta\delta^{6}+4864 h\beta^{8}+18{,}688 h\beta^{7} \delta+32{,}640 h \beta^{6}\delta^{2} \\ & +35{,}200 h\beta^{5} \delta^{3} +25{,}152 h\beta^{4}\delta^{4}+11{,}328 h \beta^{3}\delta^{5}+2880 h\beta^{2} \delta^{6}+320 h\beta\delta^{7}\\ &+384 \beta^{8} \delta-384 \beta^{7}\delta^{2} -3840 \beta^{6} \delta^{3}-6912 \beta^{5}\delta^{4}-6720 \beta^{4}\delta^{5}-4032 \beta^{3} \delta^{6}-1344 \beta^{2} \delta^{7} \\ & -192 \beta\delta^{8} +480 h^{4}\beta^{4}+960 h^{4}\beta^{3}\delta+672 h^{4} \beta ^{2} \delta^{2} +216 h^{4}\beta \delta^{3}+24 h^{4} \delta ^{4}-3840 h^{3}\beta^{5} \\ & -9600 h^{3} \beta^{4}\delta- 9216 h^{3}\beta^{3}\delta^{2} -4416 h^{3}\beta^{2} \delta^{3}-1056 h^{3}\beta\delta^{4}-96 h^{3} \delta^{5}+10{,}240 h ^{2} \beta^{6} \\ & +30{,}080 h^{2} \beta^{5}\delta+37{,}632 h^{2} \beta ^{4}\delta^{2}+26{,}368 h^{2} \beta^{3}\delta^{3}+10{,}752 h^{2} \beta ^{2} \delta^{4}+2400 h^{2} \beta\delta^{5} \\ & +224 h^{2} \delta ^{6}-10{,}240 h\beta^{7}-33{,}280 h\beta^{6} \delta-52{,}480 h \beta ^{5}\delta^{2}-52{,}480 h\beta^{4}\delta^{3}\\ &-33{,}536 h\beta ^{3}\delta^{4}-13{,}056 h\beta^{2} \delta^{5}-2816 h\beta \delta ^{6}-256 h \delta^{7}+512 \beta^{8}+1536 \beta^{7} \delta \\ & +5632 \beta^{6}\delta^{2}+11{,}648 \beta^{5}\delta^{3}+13{,}440 \beta ^{4}\delta^{4}+9856 \beta^{3} \delta^{5}+4480 \beta^{2} \delta ^{6}+1152 \beta\delta^{7} \\ &+128 \delta^{8}-8 h^{6} \beta-h^{6}\delta+120 h^{5}\beta^{2} +96 h^{5}\beta\delta+ 18 h^{5}\delta^{2} -1056 h^{4}\beta^{3}-1308 h^{4} \beta^{2} \delta \\ & -600 h^{4}\beta\delta^{2} -96 h^{4}\delta^{3}+5056 h^{3} \beta^{4}+8448 h^{3}\beta^{3}\delta+5808 h^{3} \beta ^{2} \delta^{2} +1952 h^{3}\beta\delta^{3}\\ &+264 h^{3} \delta ^{4}-10{,}880 h^{2} \beta^{5}-22{,}832 h^{2} \beta^{4}\delta- 21{,}760 h^{2} \beta^{3}\delta^{2} -11{,}488 h^{2} \beta^{2} \delta ^{3} \\ & -3328 h^{2} \beta\delta^{4}-416 h^{2} \delta^{5}+8064 h\beta^{6}+18{,}944 h\beta^{5} \delta+24{,}480 h\beta^{4}\delta^{2} +20{,}096 h \beta^{3}\delta^{3} \\ & +10{,}144 h\beta^{2} \delta^{4}+2880 h\beta\delta^{5}+352 h\delta^{6}-512 \beta^{7}-832 \beta ^{6}\delta-2688 \beta^{5} \delta^{2} -4480 \beta^{4}\delta^{3} \\ & -4480 \beta^{3}\delta^{4}-2688 \beta^{2} \delta^{5}-896 \beta\delta^{6}-128 \delta^{7}, \\ g_{2}={}& 384 h^{2}\beta^{8} \delta^{2}+1920 h^{2}\beta^{7} \delta^{3} +3936 h^{2}\beta^{6} \delta^{4}+4224 h^{2}\beta^{5} \delta ^{5}+2496 h^{2}\beta^{4}\delta^{6}+768 h^{2}\beta^{3} \delta^{7} \\ & +96 h^{2}\beta^{2}\delta^{8}-1536 h\beta^{9} \delta ^{2}-8448 h \beta^{8}\delta^{3}-19{,}584 h\beta^{7}\delta ^{4}-24{,}768 h\beta^{6}\delta^{5} \\ & -18{,}432 h \beta^{5}\delta^{6}- 8064 h\beta^{4} \delta^{7}-1920 h\beta^{3}\delta^{8}-192 h \beta ^{2}\delta^{9}+384 \beta^{8} \delta^{4}+1920 \beta^{7} \delta ^{5} \\ & +3968 \beta^{6}\delta^{6}+4352 \beta^{5} \delta^{7} +2688 \beta^{4}\delta^{8}+896 \beta^{3}\delta^{9}+128 \beta ^{2} \delta^{1}0-192 h^{4}\beta^{7}\\ &-768 h^{4} \beta^{6} \delta-1216 h^{4}\beta^{5} \delta^{2}-968 h^{4}\beta^{4} \delta ^{3}-408 h^{4}\beta^{3}\delta^{4}-88 h^{4}\beta^{2} \delta^{5}-8 h^{4} \beta\delta^{6} \\ &+1792 h^{3}\beta^{8} + 8192 h^{3}\beta^{7}\delta+15{,}456 h^{3} \beta^{6}\delta^{2}+ 15{,}552 h^{3} \beta^{5}\delta^{3}+8992 h^{3} \beta^{4}\delta ^{4} \\ & +2976 h^{3} \beta^{3}\delta^{5}+512 h^{3} \beta^{2} \delta ^{6}+32 h^{3}\beta \delta^{7}-4352 h^{2}\beta^{9}- 22{,}016 h^{2} \beta^{8}\delta \\ &-48{,}320 h^{2}\beta^{7} \delta^{2}- 60{,}384 h^{2}\beta^{6} \delta^{3}-47{,}104 h^{2}\beta^{5} \delta ^{4}-23{,}456 h^{2}\beta^{4} \delta^{5} -7264 h^{2}\beta^{3} \delta ^{6}\\ &-1280 h^{2}\beta^{2}\delta^{7}-96 h^{2}\beta \delta ^{8}+1024 h\beta^{1}0 +4608 h\beta^{9}\delta+12{,}928 h \beta ^{8} \delta^{2}+28{,}288 h\beta^{7}\delta^{3} \\ & +42{,}176 h\beta ^{6}\delta^{4}+39{,}680 h \beta^{5}\delta^{5}+23{,}168 h\beta^{4} \delta ^{6}+8192 h\beta^{3}\delta^{7}+1600 h \beta^{2}\delta^{8} \\ &+128 h\beta\delta^{9}-256 \beta^{9}\delta^{2} -1024 \beta ^{8}\delta^{3}-2560 \beta^{7} \delta^{4}-4992 \beta^{6} \delta^{5}-6400 \beta^{5}\delta^{6} \\ & -4928 \beta^{4} \delta^{7} -2240 \beta^{3}\delta^{8}-576 \beta^{2}\delta^{9}-64 \beta\delta^{1}0-32 h^{5}\beta^{5}-104 h^{5} \beta^{4} \delta-120 h^{5}\beta^{3} \delta^{2}\\ &-56 h^{5}\beta^{2} \delta ^{3}-8 h^{5}\beta\delta^{4}+832 h^{4}\beta^{6}+2688 h^{4} \beta^{5}\delta+3392 h^{4}\beta^{4} \delta^{2}+2128 h^{4}\beta^{3}\delta^{3} \\ &+672 h^{4}\beta^{2}\delta^{4}+80 h^{4} \beta\delta^{5}-5504 h^{3}\beta^{7}-19{,}840 h^{3} \beta ^{6}\delta-29{,}312 h^{3} \beta^{5}\delta^{2} \\ & -23{,}264 h^{3} \beta ^{4}\delta^{3}-10{,}720 h^{3}\beta^{3}\delta^{4}-2720 h ^{3}\beta^{2}\delta^{5}-288 h^{3} \beta\delta^{6}+11{,}520 h ^{2}\beta^{8} \\ & +46{,}336 h^{2}\beta^{7}\delta+81{,}088 h^{2} \beta^{6}\delta^{2}+81{,}984 h^{2}\beta^{5}\delta^{3}+52{,}448 h^{2} \beta ^{4}\delta^{4}+21{,}280 h^{2}\beta^{3}\delta^{5} \\ & +5088 h ^{2}\beta^{2}\delta^{6}+544 h^{2} \beta\delta^{7}-3072 h \beta ^{9}-11{,}648 h \beta^{8}\delta-27{,}264 h\beta^{7}\delta^{2}\\ &- 48{,}000 h \beta^{6}\delta^{3}-55{,}808 h\beta^{5} \delta^{4}-40{,}448 h\beta^{4}\delta^{5}-18{,}048 h \beta^{3}\delta^{6}-4608 h \beta ^{2} \delta^{7} \\ & -512 h\beta\delta^{8}+768 \beta^{8} \delta ^{2}+2304 \beta^{7} \delta^{3}+4224 \beta^{6}\delta^{4} +6528 \beta^{5}\delta^{5}+6720 \beta^{4} \delta^{6} \\ & +4032 \beta ^{3}\delta^{7}+1344 \beta^{2}\delta^{8}+192 \beta \delta ^{9}-56 h^{6}\beta^{3}-88 h^{6} \beta^{2}\delta-36 h ^{6}\beta\delta^{2}-4 h^{6}\delta^{3} \\ &+672 h^{5} \beta^{4} +1392 h^{5}\beta^{3}\delta+960 h^{5}\beta^{2}\delta^{2}+ 264 h^{5}\beta\delta^{3} +24 h^{5}\delta^{4}-4288 h^{4} \beta ^{5}\\&-10{,}752 h^{4}\beta^{4}\delta-10{,}512 h^{4}\beta^{3} \delta ^{2}-5200 h^{4}\beta^{2}\delta^{3}-1272 h^{4}\beta \delta ^{4}-120 h^{4} \delta^{5} \\ & +16{,}384 h^{3}\beta^{6}+48{,}128 h^{3} \beta^{5}\delta+59{,}904 h^{3}\beta^{4} \delta^{2}+41{,}728 h^{3}\beta^{3} \delta^{3}+16{,}896 h^{3}\beta^{2} \delta^{4} \\ &+ 3648 h^{3}\beta\delta^{5}+320 h^{3}\delta^{6} -27{,}520 h^{2} \beta^{7}-92{,}800 h^{2} \beta^{6}\delta-141{,}888 h^{2}\beta^{5} \delta^{2} \\ & -129{,}472 h^{2}\beta^{4} \delta^{3}-74{,}752 h^{2} \beta ^{3} \delta^{4}-26{,}880 h^{2}\beta^{2} \delta^{5}-5472 h ^{2}\beta\delta^{6}-480 h^{2} \delta^{7}\\ &+7680 h\beta^{8}+ 26{,}880 h\beta^{7} \delta+58{,}880 h\beta^{6}\delta^{2}+88{,}960 h \beta ^{5}\delta^{3}+85{,}632 h\beta^{4} \delta^{4} \\ & +52{,}352 h\beta ^{3}\delta^{5}+19{,}840 h \beta^{2}\delta^{6}+4224 h\beta \delta ^{7}+384 h\delta^{8}-2304 \beta^{7} \delta^{2}-6912 \beta^{6} \delta^{3} \\ & -11{,}648 \beta^{5}\delta^{4}-13{,}440 \beta^{4} \delta ^{5}-9856 \beta^{3}\delta^{6}-4480 \beta^{2} \delta^{7} -1152 \beta\delta^{8}-128 \delta^{9}-2 h^{7}\beta \\ & -2 h^{7} \delta+120 h^{6}\beta^{2}+92 h^{6}\beta\delta+21 h^{6} \delta ^{2}-1368 h^{5} \beta^{3}-1680 h^{5}\beta^{2}\delta- 720 h^{5}\beta\delta^{2} \\ &-114 h^{5} \delta^{3}+6976 h^{4} \beta^{4}+11{,}856 h^{4}\beta^{3}\delta+8196 h^{4} \beta^{2} \delta ^{2} +2696 h^{4}\beta\delta^{3}+360 h^{4} \delta^{4}\\ &- 18{,}784 h^{3}\beta^{5}-39{,}840 h^{3}\beta^{4}\delta-38{,}080 h^{3} \beta^{3}\delta^{2}-20{,}048 h^{3} \beta^{2}\delta^{3}-5664 h^{3}\beta \delta^{4} \\ & -680 h^{3}\delta^{5}+23{,}936 h^{2} \beta ^{6}+59{,}712 h^{2}\beta^{5}\delta+73{,}648 h^{2}\beta^{4} \delta ^{2}+54{,}976 h^{2}\beta^{3}\delta^{3} \\ &+25{,}344 h^{2} \beta ^{2}\delta^{4}+6656 h^{2}\beta\delta^{5} +768 h^{2} \delta ^{6}-6272 h\beta^{7}-15{,}872 h\beta^{6}\delta-30{,}208 h\beta^{5} \delta^{2} \\ & -37{,}920 h\beta^{4}\delta^{3}-29{,}952 h\beta^{3} \delta ^{4}-14{,}624 h\beta^{2}\delta^{5}-4032 h\beta\delta^{6} -480 h\delta^{7}-256 \beta^{7}\delta\\ &+960 \beta^{6}\delta^{2} +2688 \beta^{5}\delta^{3}+4480 \beta^{4} \delta^{4}+4480 \beta ^{3}\delta^{5}+2688 \beta^{2}\delta^{6} +896 \beta \delta ^{7}+128 \delta^{8}. \end{aligned}$$
\(\widetilde{r}_{13}\) and \(\widetilde{r}_{14}\) in (3.1) are given by
$$\begin{aligned} \widetilde{r}_{13}={}& 16 \beta^{5}x_{1}^{3}+24 \beta^{4}\delta x_{1}^{3}-28 \beta^{4}x_{1}^{4}+12 \beta^{3} \delta^{2}x_{1}^{3}-30 \beta^{3} \delta x_{1}^{4}+28 \beta^{3}x_{1}^{5}+2 { \beta}^{2}\delta^{3}x_{1}^{3} \\ & -10 \beta^{2}\delta^{2}x_{1}^{4}+19 \beta^{2}\delta x_{1}^{5}-28 \beta^{2}x_{1}^{6}-\beta \delta^{3}x_{1}^{4}+3 \beta \delta^{2}x_{1}^{5 }-16 \beta\delta x_{1}^{6}+9 \beta x_{1}^{7}-2 \delta ^{2}x_{1}^{6} \\ & +2 \delta x_{1}^{7}-48 \beta^{5}x_{1}^{2 }-48 \beta^{4}\delta x_{1}^{2}+76 \beta^{4}x_{1}^{3}-12 \beta^{3}\delta^{2}x_{1}^{2}+52 \beta^{3}\delta{x_{1} }^{3}-60 \beta^{3}x_{1}^{4}\\&+8 \beta^{2} \delta^{2}x_{1} ^{3}-20 \beta^{2} \delta x_{1}^{4}+48 \beta^{2}x_{1}^{5} +12 \beta\delta x_{1}^{5}-10 \beta x_{1}^{6}+48 \beta ^{5}x_{1}+24 \beta^{4}\delta x_{1}-68 \beta^{4}x_{1}^{2} \\ &-22 \beta^{3}\delta x_{1}^{2}+36 \beta ^{3}x_{1}^{3}+\beta^{2}\delta x_{1}^{3}-20 \beta^{2}x_{1}^{4}+ \beta x_{1}^{5}-16 \beta^{5}+20 \beta^{4}x_{1}-4 \beta^{3}x_{1}^{2}, \\ \widetilde{r}_{14}={}& 16{,}384 \beta^{12}x_{1}^{8}+65{,}536 \beta^{ 11}\delta x_{1}^{8}-1024 \beta^{11}x_{1}^{9}+114{,}688 { \beta}^{10}\delta^{2}x_{1}^{8}+22{,}784 \beta^{10}\delta x_{1}^{9} \\ &-3584 \beta^{10}x_{1}^{10} +114{,}688 \beta^{9}\delta^{ 3}x_{1}^{8}+82{,}176 \beta^{9}\delta^{2}x_{1}^{9}-56{,}320 { \beta}^{9}\delta x_{1}^{10}-12{,}032 \beta^{9}x_{1}^{11} \\ & + 71{,}680 \beta^{8}\delta^{4}x_{1}^{8}+119{,}744 \beta^{8}{\delta }^{3}x_{1}^{9}-143{,}488 \beta^{8}\delta^{2}x_{1}^{10}+38{,}256 \beta^{8}\delta x_{1}^{11}+5392 \beta^{8}x_{1}^{12} \\ & + 28{,}672 \beta^{7}\delta^{5}x_{1}^{8}+95{,}360 \beta^{7}\delta ^{4}x_{1}^{9}-165{,}152 \beta^{7}\delta^{3}x_{1}^{10}+142{,}176 \beta^{7}\delta^{2}x_{1}^{11}\\ &-123{,}024 \beta^{7}\delta x_{1}^{12}-77{,}392 \beta ^{7}x_{1}^{13}+7168 \beta^{6} \delta ^{6}x_{1}^{8}+45{,}168 \beta^{6}\delta^{5}x_{1}^{9}-105{,}120 \beta^{6}\delta^{4}x_{1}^{10} \\ & +164{,}428 \beta^{6}\delta^{3}{ x_{1}}^{11}-303{,}016 \beta^{6}\delta^{2}x_{1}^{12}-73{,}196 { \beta}^{6}\delta x_{1}^{13}+99{,}076 \beta^{6}x_{1}^{14} \\ & +1024 \beta^{5}\delta^{7}x_{1}^{8}+12{,}752 \beta^{5}\delta^{6}{ x_{1}}^{9}-39{,}152 \beta^{5}\delta^{5}x_{1}^{10}+94{,}516 { \beta}^{5}\delta^{4}x_{1}^{11}\\&-293{,}222 \beta^{5}\delta^{3}x_{1}^{12}+26{,}914 \beta ^{5}\delta^{2}x_{1}^{13}+92{,}054 { \beta}^{5}\delta x_{1}^{14}-88{,}632 \beta^{5}x_{1}^{15} \\ & +64 \beta^{4}\delta^{8}x_{1}^{8}+1988 \beta^{4}\delta^{7}x_{1}^{9}-8360 \beta^{4}\delta ^{6}x_{1}^{10}+28{,}928 \beta^{ 4}\delta^{5}x_{1}^{11}-145{,}936 \beta^{4}\delta^{4}x_{1}^{12} \\ & +54{,}948 \beta^{4}\delta^{3}x_{1}^{13}-26{,}074 \beta^{4}{ \delta}^{2}x_{1}^{14}-79{,}829 \beta^{4}\delta x_{1}^{15}+ 75{,}624 \beta^{4}x_{1}^{16}+132 \beta^{3} \delta^{8}x_{1} ^{9} \\ & -914 \beta^{3}\delta^{7}x_{1}^{10}+4222 \beta^{3}{ \delta}^{6}x_{1}^{11}-39{,}134 \beta^{3}\delta^{5}x_{1}^{12} +21{,}313 \beta^{3}\delta^{4}x_{1}^{13}-60{,}308 \beta^{3}{ \delta}^{3}x_{1}^{14} \\ & +6274 \beta^{3}\delta^{2}x_{1}^{15}+ 89{,}784 \beta^{3}\delta x_{1}^{16}-34{,}413 \beta^{3}x_{1}^{ 17}-36 \beta^{2}\delta^{8}x_{1}^{10}+122 \beta^{2}\delta ^{7}x_{1}^{11}\\ &-5252 \beta^{2}\delta^{6}x_{1}^{12}+1582 { \beta}^{2}\delta^{5}x_{1}^{13}-26{,}593 \beta^{2}\delta^{4}{x_{{1}}}^{14}+25{,}832 \beta^{2}\delta^{3}x_{1}^{15} \\ & +35{,}571 {\beta }^{2}\delta^{2}x_{1}^{16} -36{,}585 \beta^{2}\delta x_{1}^{ 17}+5616 \beta^{2}x_{1}^{18}-23 \beta \delta^{8}x_{1}^{ 11}-263 \beta \delta^{7}x_{1}^{12} \\ &-617 \beta \delta^{6}{x_{{1}}}^{13}-4692 \beta \delta^{5}x_{1}^{14} +8576 \beta\delta^{4}x_{1}^{15}+5121 \beta\delta^{3}x_{1}^{16}- 12{,}174 \beta \delta^{2}x_{1}^{17} \\ &+4056 \beta \delta{x_{1} }^{18}-94 \delta^{7}x_{1}^{13}-278 \delta^{6}x_{1}^{14}+ 834 \delta^{5}x_{1}^{15} +162 \delta^{4}x_{1}^{16}-1248 \delta^{3}x_{1}^{17}\\ &+624 \delta^{2}x_{1}^{18}-131{,}072 { \beta}^{12}x_{1}^{7}-458{,}752 \beta^{11}\delta x_{1}^{7}- 26{,}112 \beta^{11}x_{1}^{8}-688{,}128 \beta^{10}\delta^{2}x_{1}^{7} \\ & -279{,}552 \beta^{10}\delta x_{1}^{8}+137{,}728 \beta^{10 }x_{1}^{9}-573{,}440 \beta^{9}\delta^{3}x_{1}^{7}-673{,}152 { \beta}^{9}\delta^{2}x_{1}^{8} \\ & +713{,}344 \beta^{9}\delta x_{1}^{9}-112{,}928 \beta^{9}x_{1}^{10}-286{,}720 \beta^{8}\delta^{ 4}x_{1}^{7}-748{,}800 \beta^{8}\delta^{3}x_{1}^{8}\\ &+1{,}250{,}816 \beta^{8}\delta^{2}x_{1}^{9}-753{,}728 \beta^{8}\delta{x_{{1 }}}^{10}+250{,}592 \beta^{8}x_{1}^{11}-86{,}016 \beta^{7}\delta^{5}x_{1}^{7} \\ & -456{,}480 \beta^{7}\delta^{4}x_{1}^{8}+1{,}080{,}960 \beta^{7}\delta^{3}x_{1}^{9}-1{,}279{,}928 \beta^{7}\delta^{2 }x_{1}^{10}+1{,}360{,}552 \beta^{7}\delta x_{1}^{11} \\ & +167{,}264 { \beta}^{7}x_{1}^{12}-14{,}336 \beta^{6}\delta^{6}x_{1}^{7}-158{,}016 \beta^{6}\delta^{5}x_{1}^{8}+515{,}360 \beta^{6}{ \delta}^{4}x_{1}^{9}\\ &-975{,}888 \beta^{6}\delta^{3}x_{1}^{10} +2{,}034{,}944 \beta^{6}\delta^{2}x_{1}^{11}-219{,}388 \beta^{6} \delta x_{1}^{12}-275{,}684 \beta^{6}x_{1}^{13} \\ & -1024 \beta ^{5}\delta^{7}x_{1}^{7}-29{,}256 \beta^{5}\delta^{6}x_{1}^{8}+136{,}744 \beta^{5}\delta^{5}x_{1}^{9}-375{,}816 \beta^{5}{ \delta}^{4}x_{1}^{10} \\ & +1{,}374{,}780 \beta^{5}\delta^{3}x_{1}^{ 11}-539{,}720 \beta^{5}\delta^{2}x_{1}^{12}+57{,}612 \beta^{5} \delta x_{1}^{13}+257{,}536 \beta^{5}x_{1}^{14}\\ &-2256 \beta ^{4}\delta^{7}x_{1}^{8}+18{,}512 \beta^{4}\delta^{6}x_{1}^{9}-68{,}092 \beta^{4}\delta^{5}x_{1}^{10}+468{,}512 \beta^{4}{ \delta}^{4}x_{1}^{11} \\ & -299{,}474 \beta^{4}\delta^{3}x_{1}^{12 }+406{,}892 \beta^{4}\delta^{2}x_{1}^{13}+49{,}154 \beta^{4} \delta x_{1}^{14}-235{,}944 \beta^{4}x_{1}^{15} \\ & +948 \beta^{3} \delta^{7}x_{1}^{9}-3148 \beta^{3}\delta^{6}x_{1}^{ 10}+77{,}056 \beta^{3}\delta^{5}x_{1}^{11}-48{,}904 \beta^{3}{ \delta}^{4}x_{1}^{12}+251{,}810 \beta^{3}\delta^{3}x_{1}^{13 } \\ & -158{,}498 \beta^{3}\delta^{2}x_{1}^{14}-188{,}268 \beta^{3} \delta x_{1}^{15}+94{,}632 \beta^{3}x_{1}^{16}+362 \beta^{ 2}\delta^{7}x_{1}^{10}+4660 \beta^{2}\delta^{6}x_{1}^{ 11}\\ &+4654 \beta^{2}\delta^{5}x_{1}^{12}+56{,}508 \beta^{2}{ \delta}^{4}x_{1}^{13}-81{,}166 \beta^{2}\delta^{3}x_{1}^{14} -39{,}246 \beta^{2}\delta^{2}x_{1}^{15} \\ & +65{,}808 \beta^{2}\delta x_{1}^{16}-11{,}856 \beta^{2}x_{1}^{17}+1400 \beta{\delta }^{6}x_{1}^{12}+4050 \beta \delta^{5}x_{1}^{13}-10{,}576 \beta \delta^{4}x_{1}^{14} \\ & -1134 \beta \delta^{3}x_{1}^{15}+10{,}620 \beta\delta^{2}x_{1}^{16}-4368 \beta\delta{x_{ {1}}}^{17}+458{,}752 \beta^{12}x_{1}^{6}+1{,}376{,}256 \beta^{11} \delta x_{1}^{6} \\ & +211{,}456 \beta^{11}x_{1}^{7}+1{,}720{,}320 { \beta}^{10}\delta^{2}x_{1}^{6}+1{,}198{,}848 \beta^{10}\delta{x_{ {1}}}^{7}-840{,}704 \beta^{10}x_{1}^{8}\\ &+1{,}146{,}880 \beta^{9}{ \delta}^{3}x_{1}^{6}+2{,}133{,}120 \beta^{9}\delta^{2}x_{1}^{7} -3{,}028{,}224 \beta^{9}\delta x_{1}^{8}+970{,}208 \beta^{9}{x_{1} }^{9} \\ &+430{,}080 \beta^{8}\delta^{4}x_{1}^{6}+1{,}797{,}760 \beta^{8 }\delta^{3}x_{1}^{7}-4{,}015{,}360 \beta^{8}\delta^{2}x_{1}^{ 8}+3{,}289{,}488 \beta^{8}\delta x_{1}^{9} \\ &-1{,}539{,}232 \beta^{8}x_{1}^{10} +86{,}016 \beta^{7}\delta^{5}x_{1}^{6}+797{,}280 \beta^{7}\delta^{4}x_{1}^{7}-2{,}614{,}720 \beta^{7}\delta^{3}x_{1} ^{8} \\ & +3{,}781{,}240 \beta^{7}\delta^{2}x_{1}^{9}-4{,}760{,}864 \beta^{7 }\delta x_{1}^{10}+365{,}600 \beta^{7}x_{1}^{11}+7168 {\beta }^{6}\delta^{6}x_{1}^{6}\\ &+180{,}528 \beta^{6}\delta^{5}{x_{1} }^{7}-893{,}760 \beta^{6}\delta^{4}x_{1}^{8}+1{,}968{,}552 \beta^{6 }\delta^{3}x_{1}^{9}-4{,}910{,}872 \beta^{6}\delta^{2}x_{1}^{ 10} \\ & +1{,}668{,}756 \beta^{6}\delta x_{1}^{11}-6204 \beta^{6}{x_{{1 }}}^{12}+16{,}504 \beta^{5}\delta^{6}x_{1}^{7}-151{,}712 \beta^{ 5}\delta^{5}x_{1}^{8} \\ & +463{,}392 \beta^{5}\delta^{4}x_{1}^{ 9}-2{,}264{,}124 \beta^{5}\delta^{3}x_{1}^{10}+1{,}469{,}674 \beta^{5} \delta^{2}x_{1}^{11}-956{,}142 \beta^{5}\delta x_{1}^{12}\\ &- 139{,}128 \beta^{5}x_{1}^{13}-9792 \beta^{4}\delta^{6}{x_{{1} }}^{8}+32{,}348 \beta^{4}\delta^{5}x_{1}^{9}-473{,}008 \beta^{4} \delta^{4}x_{1}^{10} \\ & +407{,}540 \beta^{4}\delta^{3}x_{1}^{ 11}-923{,}824 \beta^{4}\delta^{2}x_{1}^{12}+335{,}165 \beta^{4} \delta x_{1}^{13}+232{,}392 \beta^{4}x_{1}^{14} \\ & -2306 \beta ^{3}\delta^{6}x_{1}^{9}-34{,}892 \beta^{3}\delta^{5}x_{1}^{10}+4698 \beta^{3}\delta^{4}x_{1}^{11}-276{,}618 \beta^{3}{ \delta}^{3}x_{1}^{12}\\ &+300{,}364 \beta^{3}\delta^{2}x_{1}^{13 }+82{,}116 \beta^{3}\delta x_{1}^{14}-81{,}813 \beta^{3}x_{1} ^{15}+82 \beta^{2} \delta^{6}x_{1}^{10}-8150 \beta^{2}{ \delta}^{5}x_{1}^{11} \\ & -23{,}493 \beta^{2}\delta^{4}x_{1}^{12} +56{,}769 \beta^{2}\delta^{3}x_{1}^{13}-5820 \beta^{2}{\delta }^{2}x_{1}^{14}-26{,}586 \beta^{2}\delta x_{1}^{15}+6864 { \beta}^{2}x_{1}^{16} \\ & +237 \beta\delta^{5}x_{1}^{12}+332 \beta \delta^{4}x_{1}^{13}-1179 \beta \delta^{3}x_{1}^{ 14}+306 \beta \delta^{2}x_{1}^{15}+312 \beta \delta{x_{{1} }}^{16} \\ & -917{,}504 \beta^{12}x_{1}^{5}-2{,}293{,}760 \beta^{11}\delta x_{1}^{5}-663{,}040 \beta^{11}x_{1}^{6}-2{,}293{,}760 \beta^{10 }\delta^{2}x_{1}^{5} \\ & -2{,}598{,}400 \beta^{10}\delta x_{1}^{6}+ 2{,}352{,}640 \beta^{10}x_{1}^{7}-1{,}146{,}880 \beta^{9}\delta^{3}{x_{{1}}}^{5}-3{,}444{,}480 \beta^{9}\delta^{2}x_{1}^{6}\\ &+6{,}412{,}160 { \beta}^{9}\delta x_{1}^{7}-2{,}780{,}960 \beta^{9}x_{1}^{8}- 286{,}720 \beta^{8}\delta^{4}x_{1}^{5}-2{,}097{,}920 \beta^{8}{ \delta}^{3}x_{1}^{6} \\ & +6{,}423{,}040 \beta^{8}\delta^{2}x_{1}^{7} -6{,}492{,}960 \beta^{8}\delta x_{1}^{8}+3{,}752{,}032 \beta^{8}{x_{{1} }}^{9}-28{,}672 \beta^{7}\delta^{5}x_{1}^{5} \\ &-606{,}560 \beta^{7} \delta^{4}x_{1}^{6} +3{,}009{,}920 \beta^{7}\delta^{3}x_{1}^{7 }-5{,}181{,}680 \beta^{7}\delta^{2}x_{1}^{8}+7{,}895{,}704 \beta^{7} \delta x_{1}^{9} \\ & -1{,}641{,}376 \beta^{7}x_{1}^{10}-67{,}680 {\beta }^{6}\delta^{5}x_{1}^{6}+661{,}920 \beta^{6}\delta^{4}{x_{1} }^{7}-1{,}700{,}848 \beta^{6}\delta^{3}x_{1}^{8}\\ &+5{,}539{,}456 \beta^{ 6}\delta^{2}x_{1}^{9}-3{,}043{,}100 \beta^{6}\delta x_{1}^{10} +796{,}252 \beta^{6}x_{1}^{11}+54{,}120 \beta^{5}\delta^{5}{x_{{ 1}}}^{7} \\ &-178{,}960 \beta^{5}\delta^{4}x_{1}^{8}+1{,}564{,}088 \beta ^{5}\delta^{3}x_{1}^{9}-1{,}459{,}312 \beta^{5}\delta^{2}{x_{1} }^{10}+1{,}584{,}272 \beta^{5}\delta x_{1}^{11} \\ & -259{,}008 \beta^{5}{ x_{1}}^{12}+6660 \beta^{4}\delta^{5}x_{1}^{8}+145{,}176 { \beta}^{4}\delta^{4}x_{1}^{9}-143{,}040 \beta^{4}\delta^{3}{x_{{1}}}^{10} \\ &+709{,}624 \beta^{4}\delta^{2}x_{1}^{11} -521{,}700 { \beta}^{4}\delta x_{1}^{12}-37{,}752 \beta^{4}x_{1}^{13}-1044 \beta^{3}\delta^{5}x_{1}^{9}\\ &+22{,}052 \beta^{3}\delta^{4}{ x_{1}}^{10} +73{,}958 \beta^{3}\delta^{3}x_{1}^{11}-160{,}300 { \beta}^{3}\delta^{2}x_{1}^{12}+41{,}544 \beta^{3}\delta{x_{{1} }}^{13} \\ &+16{,}776 \beta^{3}x_{1}^{14}-2642 \beta^{2}\delta^{4} x_{1}^{11}-3128 \beta^{2}\delta^{3}x_{1}^{12}+9558 { \beta}^{2}\delta^{2}x_{1}^{13}-2904 \beta^{2}\delta{x_{1} }^{14} \\ & -624 \beta^{2}x_{1}^{15}+1{,}146{,}880 \beta^{12}x_{1}^{ 4}+2{,}293{,}760 \beta^{11}\delta x_{1}^{4}+1{,}128{,}960 \beta^{11}{x_{{1}}}^{5} \\ &+1{,}720{,}320 \beta^{10}\delta^{2}x_{1}^{4}+3{,}198{,}720 { \beta}^{10}\delta x_{1}^{5} -3{,}722{,}240 \beta^{10}x_{1}^{6}+ 573{,}440 \beta^{9}\delta^{3}x_{1}^{4}\\ &+3{,}033{,}600 \beta^{9}{ \delta}^{2}x_{1}^{5}-7{,}662{,}080 \beta^{9}\delta x_{1}^{6}+ 4{,}146{,}400 \beta^{9}x_{1}^{7}+71{,}680 \beta^{8}\delta^{4}x_{1}^{4} \\ & +1{,}199{,}040 \beta^{8}\delta^{3}x_{1}^{5}-5{,}532{,}800 \beta ^{8}\delta^{2}x_{1}^{6}+6{,}812{,}560 \beta^{8}\delta x_{1}^{7 }-4{,}819{,}840 \beta^{8}x_{1}^{8} \\ & +170{,}400 \beta^{7}\delta^{4}{x_{{1}}}^{5}-1{,}673{,}760 \beta^{7}\delta^{3}x_{1}^{6}+3{,}524{,}240 { \beta}^{7}\delta^{2}x_{1}^{7}-6{,}879{,}376 \beta^{7}\delta x_{1}^{8} \\ & +2{,}271{,}104 \beta ^{7}x_{1}^{9}-178{,}400 \beta^{6} \delta^{4}x_{1}^{6}+577{,}452 \beta^{6}\delta^{3}x_{1}^{7}-2{,}957{,}336 \beta^{6}\delta^{2}x_{1}^{8}\\ &+2{,}404{,}508 \beta^{6}\delta{x_{{1}}}^{9}-1{,}076{,}660 \beta^{6}x_{1}^{10}-3132 \beta^{5}{\delta }^{4}x_{1}^{7}-368{,}814 \beta^{5}\delta^{3}x_{1}^{8} \\ & +530{,}918 \beta^{5}\delta^{2}x_{1}^{9}-972{,}678 \beta^{5}\delta{x_{ {1}}}^{10}+363{,}736 \beta^{5}x_{1}^{11}+5256 \beta^{4}\delta ^{4}x_{1}^{8} \\ &-20{,}872 \beta^{4}\delta^{3}x_{1}^{9}-144{,}938 \beta^{4}\delta^{2}x_{1}^{10} +237{,}541 \beta^{4}\delta x_{1}^{11}-55{,}944 \beta^{4}x_{1}^{12} \\ & -95 \beta^{3} \delta^{4} x_{1}^{9}+11{,}158 \beta^{3}\delta^{3}x_{1}^{10}+10{,}898 { \beta}^{3}\delta^{2}x_{1}^{11}-25{,}248 \beta^{3}\delta x_{1}^{12}+5433 \beta^{3}x_{1}^{13}\\ &-179 \beta^{2}\delta^{3}x_{1}^{11}-63 \beta^{2}\delta ^{2}x_{1}^{12}+267 \beta^{2 }\delta x_{1}^{13}-917{,}504 \beta^{12}x_{1}^{3}-1{,}376{,}256 { \beta}^{11}\delta x_{1}^{3} \\ & -1{,}143{,}296 \beta^{11}x_{1}^{4}- 688{,}128 \beta^{10}\delta^{2}x_{1}^{3}-2{,}279{,}424 \beta^{10} \delta x_{1}^{4}+3{,}556{,}864 \beta^{10}x_{1}^{5} \\ & -114{,}688 { \beta}^{9}\delta^{3}x_{1}^{3}-1{,}393{,}536 \beta^{9}\delta^{2}x_{1}^{4}+5{,}278{,}080 \beta^{9}\delta x_{1}^{5}-3{,}553{,}888 \beta ^{9}x_{1}^{6} \\ & -269{,}824 \beta^{8} \delta^{3}x_{1}^{4}+2{,}464{,}768 \beta^{8}\delta^{2}x_{1}^{5}-3{,}872{,}256 \beta^{8}\delta x_{1}^{6}+3{,}471{,}008 \beta^{8}x_{1}^{7}\\ &+362{,}752 \beta^{7}{ \delta}^{3}x_{1}^{5}-1{,}081{,}816 \beta^{7}\delta^{2}x_{1}^{6} +3{,}047{,}768 \beta^{7}\delta x_{1}^{7}-1{,}502{,}944 \beta^{7}x_{1}^{8} \\ & -33{,}696 \beta^{6}\delta^{3}x_{1}^{6}+583{,}168 \beta^{6} \delta^{2}x_{1}^{7}-814{,}548 \beta^{6}\delta x_{1}^{8}+ 568{,}884 \beta^{6}x_{1}^{9} \\ &-12{,}708 \beta^{5}\delta^{3}x_{1}^{7}-25{,}480 \beta^{5}\delta^{2}x_{1}^{8} +176{,}508 \beta^{5} \delta x_{1}^{9}-147{,}648 \beta^{5}x_{1}^{10}+898 \beta^{ 4}\delta^{3}x_{1}^{8} \\ &-21{,}716 \beta^{4}\delta^{2}x_{1}^{9 }-17{,}438 \beta^{4}\delta x_{1}^{10}+21{,}480 \beta^{4}x_{1} ^{11} +1262 \beta^{3}\delta^{2}x_{1}^{10}+36 \beta^{3} \delta x_{1}^{11}\\ &-624 \beta^{3}x_{1}^{12}+458{,}752 \beta^{12}x_{1}^{2}+458{,}752 \beta^{11}\delta x_{1}^{2}+691{,}712 { \beta}^{11}x_{1}^{3} \\ & +114{,}688 \beta^{10}\delta^{2}x_{1}^{2} +879{,}872 \beta^{10}\delta x_{1}^{3}-2{,}044{,}928 \beta^{10}x_{1}^{4}+262{,}272 \beta ^{9}\delta^{2}x_{1}^{3} \\ & -1{,}963{,}264 \beta^{9}\delta x_{1}^{4}+1{,}748{,}128 \beta^{9}x_{1}^{5}-446{,}976 { \beta}^{8}\delta^{2}x_{1}^{4}+1{,}085{,}808 \beta^{8}\delta{x_{{1 }}}^{5} \\ & -1{,}339{,}232 \beta^{8}x_{1}^{6}+95{,}768 \beta^{7}\delta^{ 2}x_{1}^{5}-538{,}048 \beta^{7}\delta x_{1}^{6}+466{,}400 \beta^{7}x_{1}^{7}+13{,}656 \beta^{6}\delta^{2}x_{1}^{6}\\ &+ 72{,}892 \beta^{6}\delta x_{1}^{7}-100{,}916 \beta^{6}x_{1}^{ 8}-2994 \beta^{5}\delta^{2}x_{1}^{7}+18{,}590 \beta^{5}\delta x_{1}^{8}+10{,}968 \beta^{5}x_{1}^{9} \\ &+36 \beta^{4}{\delta }^{2}x_{1}^{8}-2893 \beta^{4}\delta x_{1}^{9}+216 \beta ^{4}x_{1}^{10}+36 \beta^{3} \delta x_{1}^{10}+9 \beta^{3 }x_{1}^{11}-131{,}072 \beta^{12}x_{1} \\ & -65{,}536 \beta^{11}\delta x_{1}-231{,}936 \beta^{11}x_{1}^{2}-142{,}848 \beta^{10}\delta x_{1}^{2}+653{,}824 \beta^{10}x_{1}^{3} \\ & +306{,}304 \beta^{9} \delta x_{1}^{3}-449{,}888 \beta^{9}x_{1}^{4}-107{,}168 \beta ^{8}\delta x_{1}^{4}+222{,}752 \beta^{8}x_{1}^{5}-2712 { \beta}^{7}\delta x_{1}^{5} \\ & -46{,}816 \beta^{7}x_{1}^{6}+4076 \beta^{6}\delta x_{1}^{6}-5036 \beta^{6}x_{1}^{7}-216 { \beta}^{5}\delta x_{1}^{7}+2176 \beta^{5}x_{1}^{8}-72 { \beta}^{4}x_{1}^{9}\\ &+16{,}384 \beta^{12}+33{,}280 \beta^{11}x_{1} -89{,}600 \beta^{10}x_{1}^{2}+44{,}960 \beta^{9}x_{1}^{3}-3472 \beta^{8}x_{1}^{4} \\ & -1840 \beta^{7}x_{1}^{5}+288 \beta ^{6}x_{1}^{6}. \end{aligned}$$