Appendix: parameters for \(K=10,L=20\)
\(a_{jl}\) for \(j=1,l=N-19,\cdots,N\)
$$\begin{aligned}\begin{array}{rrrr} 5.96709588483390807\times 10^{-6}&{}-1.06056019213068138\times 10^{-6}&{}-2.65918837064829683\times 10^{-6}&{}-1.37970251223188428\times 10^{-6}\\ 3.28727863317240821\times 10^{-7}&{}8.41882484950767725\times 10^{-7}&{}-1.97963669303971328\times 10^{-7}&{}-1.95157732204002335\times 10^{-6}\\ -2.98585916582471497\times 10^{-6}&{}-2.17765705975681134\times 10^{-6}&{}4.97081058748227376\times 10^{-7}&{}3.70930549598096021\times 10^{-6}\\ 5.27563134303204731\times 10^{-6}&{}3.28740022779452256\times 10^{-6}&{}-2.58028144553970993\times 10^{-6}&{}-1.01838534310489384\times 10^{-5}\\ -1.49419955379447277\times 10^{-5}&{}-1.0919739306273805\times 10^{-5}&{}7.34403887061982576\times 10^{-6}&{}4.29200879683726264\times 10^{-5} \end{array}\end{aligned}$$
for \(j=2,l=N-19,\cdots,N\)
$$\begin{aligned}\begin{array}{rrrr} -1.80376900452201798\times 10^{-5}&{}1.91817480598611755\times 10^{-6}&{}5.92682456936428539\times 10^{-6}&{}3.13333810964239804\times 10^{-6}\\ 7.89147456481315122\times 10^{-7}&{}2.14582476710114549\times 10^{-6}&{}6.0572228384485059\times 10^{-6}&{}8.60190347921884895\times 10^{-6}\\ 6.07018220959293754\times 10^{-6}&{}-2.11092171849636617\times 10^{-6}&{}-1.20918120076063435\times 10^{-5}&{}-1.68991458882061637\times 10^{-5}\\ -1.00722209661598503\times 10^{-5}&{}9.83232467813916309\times 10^{-6}&{}3.59843702583298211\times 10^{-5}&{}5.3087101469844356\times 10^{-5}\\ 4.08683755902069688\times 10^{-5}&{}-1.97091198197665088\times 10^{-5}&{}-0.000139754026111402364&{}-0.00031786081515013402 \end{array}\end{aligned}$$
for \(j=3,l=N-19,\cdots,N\)
$$\begin{aligned} \begin{array}{rrrr} 8.65262198377192003\times 10^{-5}&{}-9.37704208105722453\times 10^{-6}&{}-3.11235330029904919\times 10^{-5}&{}-1.8674331272381723\times 10^{-5}\\ -4.81476068859341239\times 10^{-6}&{}-6.03000718516130725\times 10^{-6}&{}-2.01293789449023431\times 10^{-5}&{}-3.21268887972983366\times 10^{-5}\\ -2.60615629495024301\times 10^{-5}&{}2.75395674352157887\times 10^{-6}&{}4.14383009240148922\times 10^{-5}&{}6.33845042534324275\times 10^{-5}\\ 4.1872983249024011\times 10^{-5}&{}-3.18504605880706552\times 10^{-5}&{}-0.000134286273757923321&{}-0.000206780775969102635\\ -0.000167342354154886717&{}6.56635019496818633\times 10^{-5}&{}0.000546133817517070502&{}0.00127945470916221568\end{array}\end{aligned}$$
for \(j=4,l=1,\cdots ,20\)
$$\begin{aligned} \begin{array}{rrrr} 3.36127225758924181\times 10^{-6}&{}-5.76315827808851304\times 10^{-6}&{}-9.53350033620676648\times 10^{-6}&{}-4.27948792444051652\times 10^{-6}\\ 7.63675291752229373\times 10^{-6}&{}1.87369909017633472\times 10^{-5}&{}2.0393826001737565\times 10^{-5}&{}8.17149742323896843\times 10^{-6}\\ -1.42546721437673334\times 10^{-5}&{}-3.515454096552175\times 10^{-5}&{}-3.9625612055790728\times 10^{-5}&{}-1.76806834247777211\times 10^{-5}\\ 2.80994471460814054\times 10^{-5}&{}7.94131860490665948\times 10^{-5}&{}0.000106046765910816412&{}7.60556366728713275\times 10^{-5}\\ -3.13825201215952196\times 10^{-5}&{}-0.000215788419379376727&{}-0.000452493767879921804&{}-0.000698779144773164444\end{array}\end{aligned}$$
for \(j=5,l=1,\cdots ,20\)
$$\begin{aligned}\begin{array}{rrrr} 2.73088394568609033\times 10^{-5}&{}-2.08912673876109197\times 10^{-6}&{}-1.5195077212687083\times 10^{-5}&{}-1.50658274606455898\times 10^{-5}\\ -6.24118885361973395\times 10^{-6}&{}5.29105764882720617\times 10^{-6}&{}1.31943184247486432\times 10^{-5}&{}1.28348872088137089\times 10^{-5}\\ 3.42943532913890269\times 10^{-6}&{}-1.09845897784511965\times 10^{-5}&{}-2.27510339326222518\times 10^{-5}&{}-2.39837858693117853\times 10^{-5}\\ -1.08946112327103243\times 10^{-5}&{}1.30476208808648424\times 10^{-5}&{}3.71101697641478369\times 10^{-5}&{}4.71930907810427786\times 10^{-5}\\ 3.25123373147508346\times 10^{-5}&{}-7.65954993048029623\times 10^{-6}&{}-6.04078406317308845\times 10^{-5}&{}-0.000100930542622343553\end{array}\end{aligned}$$
for \(j=6,l=1,\cdots ,20\)
$$\begin{aligned} \begin{array}{rrrr} 0.00110659885425163349&{}-0.000135984903121426104&{}-0.000421454444203517753&{}-0.000247402019412601871\\ -3.75081078133153846\times 10^{-5}&{}-2.26085556628442565\times 10^{-5}&{}-0.000198950990925011193&{}-0.00038777046428971004\\ -0.000374742576206117662&{}-6.63778798376658499\times 10^{-5}&{}0.000415633133094018604&{}0.000760214020976359805\\ 0.000618618797794096226&{}-0.0001739509966868552&{}-0.00140512563080526795&{}-0.0024192151622396906\\ -0.00223119830174246369&{}0.000200106204433712144&{}0.00563110227646495664&{}0.0142511470436775013\end{array}\end{aligned}$$
for \(j=7,l=1,\cdots ,20\)
$$\begin{aligned} \begin{array}{rrrr} -0.000122645854754728316&{}-4.91550859555727168\times 10^{-5}&{}-7.26243100979984417\times 10^{-5}&{}-4.42822863271832026\times 10^{-5}\\ 8.68999288192161154\times 10^{-5}&{}0.000259395370391878998&{}0.000343571401193876387&{}0.000229126077607190654\\ -8.74194192299205787\times 10^{-5}&{}-0.000465562111804959644&{}-0.000665461505701619581&{}-0.000466795388885013864\\ 0.000186935083876456316&{}0.0010892228808074124&{}0.00177575576750496947&{}0.00165084632778594712\\ 0.000196537534328746578&{}-0.00281648796548455982&{}-0.00720504544498153446&{}-0.0123935494031932689\end{array}\end{aligned}$$
for \(j=8,l=1,\cdots ,20\)
$$\begin{aligned} \begin{array}{rrrr} 0.00361768942286483982&{}-0.000413800285132311292&{}-0.00141206211080677994&{}-0.000907067550796972384\\ -0.000209205900393783065&{}-5.71605755828510903\times 10^{-5}&{}-0.000491641788087776479&{}-0.00102339661880351883\\ -0.00103394924954018923&{}-0.000229629356509176692&{}0.00107684288478016423&{}0.00202544298593906966\\ 0.00163045773251483382&{}-0.000588456236769275523&{}-0.0040416886678957464&{}-0.00685474337078876075\\ -0.00616392907328260509&{}0.00112213212579818163&{}0.01734194110367877&{}0.0432367057038350461\end{array}\end{aligned}$$
for \(j=9,l=1,\cdots ,20\)
$$\begin{aligned} \begin{array}{rrrr} 0.0129374905953716351&{}-0.00178454515045794906&{}-0.00526923314052492493&{}-0.00308089269859637823\\ -0.000177207567478597017&{}0.000484466395763375108&{}-0.0014189042035158098&{}-0.00404162461896571869\\ -0.00480067885819748796&{}-0.00215856719696598314&{}0.00310646844496958573&{}0.0078677610959308978\\ 0.0080667230442055364&{}0.00110553305099504121&{}-0.0118014183082432948&{}-0.0244621389855264083\\ -0.0264809918133086311&{}-0.00595182451503434209&{}0.0467792683156444539&{}0.135646630796108558\end{array}\end{aligned}$$
for \(j=10,l=1,\cdots ,20\)
$$\begin{aligned} \begin{array}{rrrr} 0.00605920662770449963&{}-0.0014290436792360325&{}-0.00385215416303510494&{}-0.00251439750122628425\\ 0.000536464441746236113&{}0.00303121894025295191&{}0.00327053334187016147&{}0.000855596005204854043\\ -0.00304020466063740233&{}-0.00611718407928972356&{}-0.00605184706570204966&{}-0.00183298407669103152\\ 0.00530621458693354177&{}0.0119208874576802668&{}0.0135339772911591549&{}0.00661116405315434648\\ -0.00945901585780703491&{}-0.0312852093069493492&{}-0.0518997335446071337&{}-0.0626912191231108473 \end{array} \end{aligned}$$
\(b_{jl}\) for \(j=1,l=1,\cdots ,20\)
$$\begin{aligned} \begin{array}{rrrr} 1.15856179362907974\times 10^{-6}&{}-1.37055915129585336\times 10^{-7}&{}-7.48864536992893967\times 10^{-7}&{}-8.85454174733409756\times 10^{-7}\\ -7.27976134789503941\times 10^{-7}&{}-4.26901966105245514\times 10^{-7}&{}-1.00060280418828696\times 10^{-7}&{}1.68897307399201237\times 10^{-7}\\ 3.30150382999484145\times 10^{-7}&{}3.6449989227681089\times 10^{-7}&{}2.78644929892995812\times 10^{-7}&{}1.0086891557603018\times 10^{-7}\\ -1.2269922985226363\times 10^{-7}&{}-3.32361284443277268\times 10^{-7}&{}-4.60065788930993696\times 10^{-7}&{}-4.34931840456072392\times 10^{-7}\\ -1.88735426836924839\times 10^{-7}&{}3.38272797991024954\times 10^{-7}&{}1.19127343002557457\times 10^{-6}&{}2.3956839962067012\times
10^{-6}\end{array}\end{aligned}$$
for \(j=2,l=1,\cdots ,20\)
$$\begin{aligned} \begin{array}{rrrr} -4.30329911635055784\times 10^{-6}&{}3.48764355800493281\times 10^{-7}&{}2.59434225423932921\times 10^{-6}&{}3.1593603323632563\times 10^{-6}\\ 2.67275489532901091\times 10^{-6}&{}1.65636015349276408\times 10^{-6}&{}5.16588668403091155\times 10^{-7}&{}-4.59280697591064786\times 10^{-7}\\ -1.09715989814168771\times 10^{-6}&{}-1.32254314508777269\times 10^{-6}&{}-1.14630436536985312\times 10^{-6}&{}-6.52967209688487322\times 10^{-7}\\ 1.17621985920265002e-08&{}6.57351666454455148\times 10^{-7}&{}1.06754911832030046\times 10^{-6}&{}1.01986283143371255\times 10^{-6}\\ 3.05405017538621378\times 10^{-7}&{}-1.25042190847155212\times 10^{-6}&{}-3.76891375366169012\times 10^{-6}&{}-7.30519029098765491\times 10^{-6}\end{array}\end{aligned}$$
for \(j=3,l=1,\cdots ,20\)
$$\begin{aligned} \begin{array}{rrrr} 1.94772201700530367\times 10^{-5}&{}-1.28579828497107601\times 10^{-6}&{}-1.14709740667233921\times 10^{-5}&{}-1.4248862461797729\times 10^{-5}\\ -1.23560393677861526\times 10^{-5}&{}-8.05238069058121306\times 10^{-6}&{}-3.09309122478503015\times 10^{-6}&{}1.2784386483929277\times 10^{-6}\\ 4.30093895845656077\times 10^{-6}&{}5.63466395143048397\times 10^{-6}&{}5.29504103737306361\times 10^{-6}&{}3.59462218271907979\times 10^{-6}\\ 1.08512053081620321\times 10^{-6}&{}-1.51161954747836835\times 10^{-6}&{}-3.38152944752790305\times 10^{-6}&{}-3.6972579645874014\times 10^{-6}\\ -1.6969692412591577\times 10^{-6}&{}3.23607395855496159\times 10^{-6}&{}1.15015134782122206\times 10^{-5}&{}2.32329211196849117\times 10^{-5}\end{array}\end{aligned}$$
for \(j=4,l=1,\cdots ,20\)
$$\begin{aligned} \begin{array}{rrrr} -2.22506771181927225\times 10^{-6}&{}-5.11419466162527601\times 10^{-7}&{}5.30256784494104565\times 10^{-7}&{}1.08480254242684371\times 10^{-6}\\ 1.2955948428942335\times 10^{-6}&{}1.26855242124374803\times 10^{-6}&{}1.06867158287946845\times 10^{-6}&{}7.29839668683986082\times 10^{-7}\\ 2.77912050620251208\times 10^{-7}&{}-2.53201147662468911\times 10^{-7}&{}-8.22208555766248928\times 10^{-7}&{}-1.38563499569198602\times 10^{-6}\\ -1.894006982944765\times 10^{-6}&{}-2.2815039317256282\times 10^{-6}&{}-2.45828494051470194\times 10^{-6}&{}-2.30627152859786243\times 10^{-6}\\ -1.67421489229736343\times 10^{-6}&{}-3.75179932952021907\times 10^{-7}&{}1.804775661814459\times 10^{-6}&{}5.08511577002261753\times 10^{-6}\end{array}\end{aligned}$$
for \(j=5,l=1,\cdots ,20\)
$$\begin{aligned} \begin{array}{rrrr} 3.81418559557666998\times 10^{-6}&{}6.39093976245808866\times 10^{-7}&{}-1.42701214146135571\times 10^{-6}&{}-2.63409022939503831\times 10^{-6}\\ -3.17450917882877547\times 10^{-6}&{}-3.18282845322717003\times 10^{-6}&{}-2.75489151217868943\times 10^{-6}&{}-1.97321249074018546\times 10^{-6}\\ -9.21568109628360945\times 10^{-7}&{}3.08029187816517369\times 10^{-7}&{}1.6022101777068499\times 10^{-6}&{}2.80645936736068297\times 10^{-6}\\ 3.71210843204319369\times 10^{-6}&{}4.05787123926464708\times 10^{-6}&{}3.53990731455883702\times 10^{-6}&{}1.82340651435592229\times 10^{-6}\\ -1.44191627746274509\times 10^{-6}&{}-6.5982729649225584\times 10^{-6}&{}-1.39534318523984799\times 10^{-5}&{}-2.37621951432726929\times 10^{-5}\end{array}\end{aligned}$$
for \(j=6,l=1,\cdots ,20\)
$$\begin{aligned} \begin{array}{rrrr} 0.000240974324586248938&{}-1.81573013546840852\times 10^{-5}&{}-0.000144555718297340432&{}-0.000178051718245355911\\ -0.000153089322551191754&{}-9.81665048931708865\times 10^{-5}&{}-3.54811892289556805\times 10^{-5}&{}1.91983044700044842\times 10^{-5}\\ 5.62303811128859351\times 10^{-5}&{}7.13810737124962033\times 10^{-5}&{}6.49829942791170425\times 10^{-5}&{}4.118752405490491\times 10^{-5}\\ 7.24231151688054406\times 10^{-6}&{}-2.73572077097092134\times 10^{-5}&{}-5.18403682876483689\times 10^{-5}&{}-5.51587232361751479\times 10^{-5}\\ -2.69815211497760824\times 10^{-5}&{}4.12886875179245037\times 10^{-5}&{}0.000155562256602214939&{}0.000318364920194253711\end{array}\end{aligned}$$
for \(j=7,l=1,\cdots ,20\)
$$\begin{aligned} \begin{array}{rrrr} -7.05388046999852025\times 10^{-5}&{}-7.42321773221023896\times 10^{-7}&{}3.44116056536350183\times 10^{-5}&{}4.53747668333819796\times 10^{-5}\\ 4.10305222923393811\times 10^{-5}&{}2.86252442481660968\times 10^{-5}&{}1.35936247662989933\times 10^{-5}&{}-4.15568843960512856\times 10^{-7}\\ -1.12163650232785126\times 10^{-5}&{}-1.77359790761738086\times 10^{-5}&{}-1.98701330553923548\times 10^{-5}&{}-1.84376977676922213\times 10^{-5}\\ -1.50075689745697876\times 10^{-5}&{}-1.157246373667613\times 10^{-5}&{}-1.02050984870293531\times 10^{-5}&{}-1.27497057820708171\times 10^{-5}\\ -2.04948121903767859\times 10^{-5}&{}-3.38499343103427369\times 10^{-5}&{}-5.21716338482884642\times 10^{-5}&{}-7.38342361597292215\times 10^{-5}\end{array}\end{aligned}$$
for \(j=8,l=1,\cdots ,20\)
$$\begin{aligned} \begin{array}{rrrr} 0.000770689704498828598&{}-4.5063750833779108\times 10^{-5}&{}-0.000449794161224371632&{}-0.000565769408560374263\\ -0.000498401302486923842&{}-0.000334584323509505934&{}-0.000141857381380272639&{}3.16520391541149151\times 10^{-5}\\ 0.000156087826956657677&{}0.000217596875653393377&{}0.000215670534758508796&{}0.000160695472181201344\\ 7.16350546218094637\times 10^{-5}&{}-2.65090089852571419\times 10^{-5}&{}-0.000105495455921804913&{}-0.00013668950680429076\\ -9.38591440938442347\times 10^{-5}&{}4.40715876604672841\times 10^{-5}&{}0.000290518258262271187&{}0.000649436102881048929\end{array}\end{aligned}$$
for \(j=9,l=1,\cdots ,20\)
$$\begin{aligned} \begin{array}{rrrr} 0.00269286272560756738&{}-0.000223826051374996618&{}-0.00164169988052013873&{}-0.00201056607147178388\\ -0.00171994906026385458&{}-0.0010925266015740225&{}-0.000380308845214852689&{}0.00023708370519939456\\ 0.000649768402938976134&{}0.000809973740798323365&{}0.000722344476939336096&{}0.000435095547424410416\\ 3.1830959613417515\times 10^{-5}&{}-0.000377747539720010655&{}-0.000668605355004438131&{}-0.000711552123765074747\\ -0.000384352364025264653&{}0.000416884071337631347&{}0.0017666041168752655&{}0.00370110435857568974\end{array}\end{aligned}$$
for \(j=10,l=1,\cdots ,20\)
$$\begin{aligned} \begin{array}{rrrr} 0.00073892456722970761&{}-9.03746881086875284\times 10^{-5}&{}-0.000501782487294801936&{}-0.000616791388570555829\\ -0.000541403032444684072&{}-0.000363637415986265658&{}-0.000154176276519580327&{}3.37431902308869971\times 10^{-5}\\ 0.00016573136549614709&{}0.000225824702309761736&{}0.000212780034852155401&{}0.000135518351461006022\\ 1.04260940384744983\times 10^{-5}&{}-0.000139781419626450757&{}-0.00028739894444162773&{}-0.000401567705584427825\\ -0.000449744522484811732&{}-0.000399033421264799329&{}-0.000218763712698090776&{}0.000115321963429921808 \end{array}\end{aligned}$$
\(r_j\) for \(j=1,\cdots ,10\)
$$\begin{aligned}\begin{array}{r} 5.4449024039008694\times 10^{-7}\\ 4.7036819024312042\times 10^{-7} \\ 7.84057381289423876\times 10^{-7} \\ 5.03258956600924976\times 10^{-7} \\ 5.74503313084172221\times 10^{-7} \\ 3.76184845780128559\times 10^{-6} \\ -2.96552867726106834\times 10^{-7} \\ 1.08940244047946874\times 10^{-5} \\ 3.71477635139735369\times 10^{-5} \\ 1.2128348593418037\times 10^{-5} \end{array}\end{aligned}$$