Appendix
The coefficients \(p_{ijk}\) and \(q_{ijk}\) in (3.6) are as follows
$$\begin{aligned}&p_{100} =(2(\beta -\beta _0))^{-1}(2-\alpha ), \\&p_{200} = \left\{ 4096 {\alpha }^{3}\beta \left( -2+\alpha \right) \left( -1+\alpha \right) ^{7} \left( \beta -\beta _{{0}} \right) ^{2}\right\} ^{-1} \\&\qquad \{{\alpha }^{16}{\beta }^{2}-16 {\alpha }^{15}{\beta }^{2}-16 {\alpha }^{15}\beta \\&\quad -\,144 {\alpha }^{14}{\beta }^{2}+224 {\alpha }^{14}\beta +2880 {\alpha }^{13}{\beta }^{2}\\&\quad -\,256 {\alpha }^{14}+688 {\alpha }^{13} \beta -1440 {\alpha }^{12}{\beta }^{2} \\&\quad +\,3840{\alpha }^{13}-15808{\alpha }^{12}\beta -103680{\alpha }^{11}{\beta }^{2}\\&\quad -\,25600{\alpha }^{ 12}+72000 {\alpha }^{11}\beta \\&\quad +\,99840 {\alpha }^{11}-134144 {\alpha }^{10}\beta -1628928 {\alpha }^{9}{ \beta }^{2}\\&\quad -\,252160 {\alpha }^{10}+1280 {\alpha }^{9}\beta \\&\quad +\,2547968 {\alpha }^{8}{\beta }^{2}+430848 {\alpha }^{9}+521216 {\alpha }^{8} \beta \\&\quad -\,2074624 {\alpha }^{7}{\beta }^{2}-504320 {\alpha }^{8} \\&\quad -\,1205248 {\alpha }^{7}\beta -28672 {\alpha }^{6}{\beta }^{2}+399360 {\alpha }^ {7}\\&\quad +\,1474560 {\alpha }^{6}\beta +2166784 {\alpha }^{5}{\beta }^{2} \\&\quad -\,204800 {\alpha }^{6}-1112064 {\alpha }^{5}\beta -2703360 {\alpha }^{4} {\beta }^{2}\\&\quad +\,61440 {\alpha }^{5}+520192 {\alpha }^{4}\beta \end{aligned}$$
$$\begin{aligned}&\quad +\,1802240 {\alpha }^{3}{\beta }^{2}-8192 {\alpha }^{4}-139264 {\alpha }^{3}\beta \\&\quad -\, 720896 {\alpha }^{2}{\beta }^{2} +16384 {\alpha }^{2}\beta \\&\quad +\,163840 \alpha {\beta }^{2}-16384 {\beta }^{2} +594432 {\alpha }^{10}{\beta }^{2}\}, \\&p_{020} =\{ 16\left( \beta -\beta _{{0}} \right) ^{2} \left( 1-\alpha \right) \}^{-1} \{\alpha \beta \left( 2-\alpha \right) ^{3}\}, \\&p_{002} = \{64\left( \beta -\beta _0 \right) ^{2} \left( 1-\alpha \right) ^{4}\}^{-1} \{\alpha \left( 2-\alpha \right) ^{2} ( -{\alpha }^{5}\\&\quad +\,4 {\alpha }^{4}\beta +6 {\alpha }^{4}-4 {\alpha }^{3}\beta -12 {\alpha }^{3} -12 {\alpha }^{2}\beta \\&\quad +\,8 {\alpha }^{2}+20 \alpha \beta -8 \beta )\}, \\&p_{110} =- \{128\left( \beta -\beta _{{0}} \right) ^{2} \left( 1-\alpha \right) ^{4}\}^{-1} \left( 2-\alpha \right) \{ {\alpha }^{7}\beta \\&\quad -\,8 {\alpha }^{6}\beta -8 {\alpha }^{6}-104 {\alpha }^{5}\beta \\&\quad +\,48 {\alpha }^{5}+608 {\alpha }^{4}\beta -104 {\alpha }^{4}-1264 {\alpha }^{3}\beta \\&\quad +\,96 { \alpha }^{3}+1280 {\alpha }^{2}\beta -32 {\alpha }^{2} \\&\quad -\,640 \alpha \beta +128 \beta \}, \\&p_{101} =-\alpha \{1024 \beta \left( 1-\alpha \right) ^{7} \left( \beta -\beta _0\right) ^{2}\}^{-1} \{ -{\alpha }^{11}\beta \\&\quad +\,8 {\alpha }^{10}{\beta }^{2}+14 {\alpha }^{10}\beta -88 {\alpha }^{9}{\beta }^{2} \\&\quad -\,20 {\alpha }^{9}\beta -616 {\alpha }^{8}{\beta }^{2}+112 {\alpha }^{9}-296 {\alpha }^{8}\beta \\&\quad +\,7160 {\alpha }^{7}{\beta }^{2}-680 {\alpha }^{8}+ 1360 {\alpha }^{7}\beta \\&\quad -\,27136 {\alpha }^{6}{\beta }^{2}+2336 {\alpha }^{7}-1504 {\alpha }^{6}\beta \\&\quad +\,56000 {\alpha }^{5}{\beta }^{2}-4960 { \alpha }^{6}-3712 {\alpha }^{5}\beta \\&\quad -\,71040 {\alpha }^{4}{\beta }^{2}+ 6656 {\alpha }^{5}+14144 {\alpha }^{4}\beta \\&\quad +\,57216 {\alpha }^{3}{ \beta }^{2}-5504 {\alpha }^{4}-20224 {\alpha }^{3}\beta \end{aligned}$$
$$\begin{aligned}&\quad -\,28672 { \alpha }^{2}{\beta }^{2}+2560 {\alpha }^{3}+15360 {\alpha }^{2}\beta \\&\quad +\, 8192 \alpha {\beta }^{2}-512 {\alpha }^{2}-6144 \alpha \beta \\&\quad -\,1024 {\beta }^{2}+1024 \beta -8 {\alpha }^{10}\}, \\&p_{011} = \{ 64\left( \beta -\beta _{{0}} \right) ^{2} \left( 1-\alpha \right) ^{4}\}^{-1} {\alpha }^{2} \left( 2-\alpha \right) ^{2}\\&\qquad ( -{\alpha }^{4}+8 {\alpha }^{3}\beta +6 {\alpha }^{3}-24 {\alpha }^{2}\beta \\&\quad -\,12 {\alpha }^{2}+24 \alpha \beta +8 \alpha -8 \beta ), \\&q_{200} = \{4096 \left( -1+\alpha \right) ^{8} \left( -2+\alpha \right) ^{4}{\alpha }^{4} \left( \beta -\beta _{{0}} \right) ^{2}\}^{-1} \\&\qquad \{{\alpha }^{20}\beta -16 {\alpha }^{19}{\beta }^{2}-18 {\alpha }^{19} \beta \\&\quad +\,304 {\alpha }^{18}{\beta }^{2}+64 {\alpha }^{19}+396 {\alpha }^ {18}\beta \\&\quad +\,1424 {\alpha }^{17}{\beta }^{2}-1344 {\alpha }^{18}-7256 { \alpha }^{17}\beta \\&\quad -\,55216 {\alpha }^{16}{\beta }^{2}+12864 {\alpha }^{ 17}+26784 {\alpha }^{16}\beta \\&\quad +\,241600 {\alpha }^{15}{\beta }^{2}-74176 {\alpha }^{16} \\&\quad +\,332480 {\alpha }^{15}\beta +1289408 {\alpha }^{14}{ \beta }^{2}\\&\quad +\,286848 {\alpha }^{15}-4249472 {\alpha }^{14}\beta \\&\quad -\,18083456 {\alpha }^{13}{\beta }^{2}-783360 {\alpha }^{14}\\&\quad +\,23816960 { \alpha }^{13}\beta +94664960 {\alpha }^{12}{\beta }^{2} \end{aligned}$$
$$\begin{aligned}&\quad +\,1548288 { \alpha }^{13}-84614656 {\alpha }^{12}\beta \\&\quad -\,309469696 {\alpha }^{11}{ \beta }^{2}-2230272 {\alpha }^{12} \\&\quad +\,212044288 {\alpha }^{11}\beta + 714576896 {\alpha }^{10}{\beta }^{2}\\&\quad +\,2322432 {\alpha }^{11}-393525248 {\alpha }^{10}\beta \\&\quad -\,1228421120 {\alpha }^{9}{\beta }^{2}-1703936 { \alpha }^{10}\\&\quad +\,554510336 {\alpha }^{9}\beta +1613713408 {\alpha }^{8}{ \beta }^{2} \\&\quad +\,835584 {\alpha }^{9}-600182784 {\alpha }^{8}\beta \\&\quad - \,1639047168 {\alpha }^{7}{\beta }^{2}-245760 {\alpha }^{8} \\&\quad +\,500023296 { \alpha }^{7}\beta +1289404416 {\alpha }^{6}{\beta }^{2}\\&\quad +\,32768 {\alpha } ^{7}-318521344 {\alpha }^{6}\beta \\&\quad -\,779911168 {\alpha }^{5}{\beta }^{2} +152567808 {\alpha }^{5}\beta \\&\quad +\,356384768 {\alpha }^{4}{\beta }^{2}- 53264384 {\alpha }^{4}\beta \\&\quad -\,119144448 {\alpha }^{3}{\beta }^{2}+ 12812288 {\alpha }^{3}\beta \\&\quad +\,27525120 {\alpha }^{2}{\beta }^{2}- 1900544 {\alpha }^{2}\beta \\&\quad -\,3932160 \alpha {\beta }^{2}+131072 \alpha \beta +262144 {\beta }^{2} \}, \\&q_{020} ={\beta } \{16\alpha \left( 1-\alpha \right) ^{2} \left( 2-\alpha \right) \left( \beta -\beta _{{0}} \right) ^{2}\}^{-1}\\&\qquad ( -{\alpha }^{6}+16 {\alpha }^{5}\beta +4 {\alpha }^{5}-80 {\alpha }^{4}\beta \\&\quad +\,208 {\alpha }^{3}\beta -16 {\alpha }^{3}-304 { \alpha }^{2}\beta \\&\quad +\,16 {\alpha }^{2}+224 \alpha \beta -64 \beta ), \end{aligned}$$
$$\begin{aligned}&q_{002} =-\{128 \alpha \left( \beta -\beta _{{0}} \right) ^{2} \left( 1-\alpha \right) ^{5}\}^{-1} \\&\qquad \{ {\alpha }^{10}-8 {\alpha }^{9}+8 {\alpha }^{8}\beta -128 {\alpha }^{7}{ \beta }^{2}+20 {\alpha }^{8} \\&\quad +\,512 {\alpha }^{6}{\beta }^{2}+712 {\alpha }^{6}\beta -384 {\alpha }^{5}{\beta }^{2}-80 {\alpha }^{6}\\&\quad -\,1720 {\alpha }^{5}\beta -1280 {\alpha }^{4}{\beta }^{2} +128 {\alpha }^{5} \\&\quad +\,2128 {\alpha }^{4}\beta +3200 {\alpha }^{3}{\beta } ^{2}\\&\quad -\,64 {\alpha }^{4}-1312 {\alpha }^{3}\beta \\&\quad -\,3072 {\alpha }^{2}{ \beta }^{2}+320 {\alpha }^{2}\beta -256 {\beta }^{2} \\&\quad -\,136 {\alpha }^{7}\beta +1408 \alpha {\beta }^{2} \}, \\&q_{110} =\{128{\alpha }^{3} \left( \beta -\beta _{{0}} \right) ^{2} \left( -1+\alpha \right) ^{5}\left( -2+\alpha \right) ^{3}\}^{-1} \\&\qquad \{ {\alpha }^{14}\beta -16 {\alpha }^{13}{\beta }^{2}-12 {\alpha }^{13}\beta +32 {\alpha }^{13} \\&\quad +\,208 {\alpha }^{12}{\beta }^{2}+184 {\alpha }^ {12}\beta \\&\quad +\,816 {\alpha }^{11}{\beta }^{2}-480 {\alpha }^{12}\\&\quad -\,2672 { \alpha }^{11}\beta -18128 {\alpha }^{10}{\beta }^{2} \\&\quad +\,3168 {\alpha }^{11} +20352 {\alpha }^{10}\beta +108320 {\alpha }^{9}{\beta }^{2}\\&\quad -\,12064 { \alpha }^{10}-88384 {\alpha }^{9}\beta -376128 {\alpha }^{8}{\beta }^{2} \\&\quad +\,29184 {\alpha }^{9}+240128 {\alpha }^{8}\beta +878080 {\alpha }^{7}{ \beta }^{2}\\&\quad -\,46464 {\alpha }^{8}-429312 {\alpha }^{7}\beta \\&\quad +\,48640 {\alpha }^{7}+514944 {\alpha }^{6}\beta +1714688 {\alpha }^{5}{\beta }^{2}\\&\quad -\,32256 {\alpha }^{6}-411392 {\alpha }^{5}\beta \end{aligned}$$
$$\begin{aligned}&\quad +\,12288 {\alpha }^{5} +210432 {\alpha }^{4}\beta \\&\quad +\,854016 {\alpha }^{3}{\beta }^{2}-2048 { \alpha }^{4}\\&\quad -\,62464 {\alpha }^{3}\beta -333824 {\alpha }^{2}{\beta }^{2} \\&\quad +\,8192 {\alpha }^{2}\beta +77824 \alpha {\beta }^{2}-8192 {\beta }^{2} \\&\quad -\,1448704 {\alpha }^{6}{\beta }^{2} -1448960 {\alpha }^{4}{\beta }^{2} \}, \\&q_{101} =\{2048 {\alpha }^{2}\beta \left( -1+\alpha \right) ^{8} \left( \beta -\beta _{{0}} \right) ^{2} \left( -2+\alpha \right) ^{3}\}^{-1} \\&\qquad \{{\alpha }^{18}\beta -18 {\alpha }^{17}\beta +16 {\alpha }^{16}{\beta }^{2} \\&\quad -\,256 {\alpha }^{15}{\beta }^{3}+16 {\alpha }^{17}+12 {\alpha }^{16} \beta -336 {\alpha }^{15}{\beta }^{2}\\&\quad +\,3840 {\alpha }^{14}{\beta }^{3}- 336 {\alpha }^{16}+1448 {\alpha }^{15}\beta \\&\quad +\,5200 {\alpha }^{14}{\beta }^{2}+6912 {\alpha }^{13}{\beta }^{3}+3216 {\alpha }^{15}\\&\quad -\,12768 {\alpha }^{14}\beta -48176 {\alpha }^{13}{\beta }^{2}-322816 {\alpha }^{12}{\beta }^{3} \\&\quad -\,18544 {\alpha }^{14}+53184 {\alpha }^{13}\beta + 272352 {\alpha }^{12}{\beta }^{2}\\&\quad +\,2284800 {\alpha }^{11}{\beta }^{3}+ 71712 {\alpha }^{13} -119808 {\alpha }^{12}\beta \\&\quad -\,1011008 {\alpha }^{11 }{\beta }^{2}-8878848 {\alpha }^{10}{\beta }^{3}\\&\quad -\,195840 {\alpha }^{12} +102144 {\alpha }^{11}\beta \\&\quad +\,2602880 {\alpha }^{10}{\beta }^{2}+ 22796544 {\alpha }^{9}{\beta }^{3}+387072 {\alpha }^{11}\\&\quad +\,217216 { \alpha }^{10}\beta -4808448 {\alpha }^{9}{\beta }^{2} \\&\quad -\,41598720 {\alpha }^{8}{\beta }^{3}-557568 {\alpha }^{10}-896256 {\alpha }^{9}\beta \\&\quad + \,6490624 {\alpha }^{8}{\beta }^{2}+55869440 {\alpha }^{7}{\beta }^{3} \end{aligned}$$
$$\begin{aligned}&\quad +\,580608 {\alpha }^{9}+1559040 {\alpha }^{8}\beta -6433792 {\alpha }^{7} {\beta }^{2}\\&\quad -\,56080384 {\alpha }^{6}{\beta }^{3}-425984 {\alpha }^{8} \\&\quad -\,1672192 {\alpha }^{7}\beta +4644864 {\alpha }^{6}{\beta }^{2}\\&\quad +\,42135552 {\alpha }^{5}{\beta }^{3}+208896 {\alpha }^{7}+1173504 {\alpha }^{6}\beta \\&\quad -\,2381824 {\alpha }^{5}{\beta }^{2}-23425024 {\alpha }^{4}{\beta }^{3}\\&\quad -\,61440 {\alpha }^{6}-528384 {\alpha }^{5}\beta +823296 {\alpha }^ {4}{\beta }^{2} \\&\quad +\,9371648 {\alpha }^{3}{\beta }^{3}+8192 {\alpha }^{5}+ 139264 {\alpha }^{4}\beta \\&\quad -\,172032 {\alpha }^{3}{\beta }^{2}-2555904 { \alpha }^{2}{\beta }^{3} \\&\quad -\,16384 {\alpha }^{3}\beta +16384 {\alpha }^{2}{ \beta }^{2}\\&\quad +\,425984 \alpha {\beta }^{3}-32768 {\beta }^{3} \}, \\&q_{011} = \{128 \left( \beta -\beta _{{0}} \right) ^{2} \left( -1+\alpha \right) ^{5} \left( -2+\alpha \right) \}^{-1} \\&\qquad \{ {\alpha }^{10}-10 {\alpha }^{9}+16 {\alpha }^{8}\beta -256 {\alpha }^{7 }{\beta }^{2} \\&\quad +\,36 {\alpha }^{8}-208 {\alpha }^{7}\beta +1792 {\alpha }^ {6}{\beta }^{2}-40 {\alpha }^{7}\\&\quad +\,1104 {\alpha }^{6}\beta -5376 { \alpha }^{5}{\beta }^{2}-80 {\alpha }^{6} \\&\quad -\,3120 {\alpha }^{5}\beta +8960 {\alpha }^{4}{\beta }^{2}+288 {\alpha }^{5}+5088 {\alpha }^{4}\beta \\&\quad - \,8960 {\alpha }^{3}{\beta }^{2}-320 {\alpha }^{4}-4800 {\alpha }^{3}\beta \\&\quad +\,5376 {\alpha }^{2}{\beta }^{2}+128 {\alpha }^{3}+2432 {\alpha } ^{2}\beta \\&\quad -\,1792 \alpha {\beta }^{2}-512 \alpha \beta +256 {\beta }^{2} \}. \end{aligned}$$
The coefficients \(g_{ij}\) s in (3.13) are as follows
$$\begin{aligned}&g_{00}(\epsilon _1,\epsilon _2)=- \{4(1-\alpha )^{2} ( {\alpha }^{3}-4 {\alpha }^{2}\epsilon _2-2 {\alpha }^{2}\\&\quad +\,8 \alpha \epsilon _2-4 \epsilon _2 )^{2}\}^{-1} \{{\alpha }^{3}\epsilon _2 (2-\alpha ) ( {\alpha }^{5} \\&\quad -\,6 {\alpha }^{4}+16 {\alpha }^{3}\epsilon _1+12 {\alpha }^{3}-48 {\alpha }^{2}\epsilon _1\\&\quad -\,8 {\alpha }^{2}+48 \alpha \epsilon _1-16 \epsilon _1 ) \}, \\&g_{10}(\epsilon _1,\epsilon _2)=-\{32 (1-\alpha ) ^{4} ( {\alpha }^{3}-4 {\alpha }^{2} \epsilon _2-2 {\alpha }^{2}\\&\quad +\,8 \alpha \epsilon _2-4 \epsilon _2 )\}^{-1} \{\epsilon _2 ( {\alpha }^{4}-4 {\alpha }^{3}\epsilon _2 \\&\quad -\,2 {\alpha }^{3}+24 {\alpha }^{2}\epsilon _2-36 \alpha \epsilon _2+16 \epsilon _2)( {\alpha }^{5}-6 {\alpha }^{4}\\&\quad +16 {\alpha }^{3} \epsilon _1+12 {\alpha }^{3}-48 {\alpha }^{2}\epsilon _1 \\&\quad -\,8 {\alpha }^{2}+48 \alpha \epsilon _1-16 \epsilon _1 )\} ,\\&g_{01}(\epsilon _1,\epsilon _2)= -\{(1-\alpha ) (2-\alpha ) ( {\alpha }^{3}-4 {\alpha }^{2}\epsilon _2-2 {\alpha }^{2}\\&\quad +\,8 \alpha \epsilon _2-4 \epsilon _2 ) \}^{-1} \{2({\alpha }^{5}\epsilon _2-{\alpha }^{4}{\epsilon _2}^{2} \end{aligned}$$
$$\begin{aligned}&\quad +\,{\alpha }^{4}\epsilon _1-6 {\alpha }^{4}\epsilon _2+8 {\alpha }^{3}\epsilon _1\epsilon _2+6 {\alpha }^{3}{\epsilon _2}^{2}\\&\quad -\,3 {\alpha }^{ 3}\epsilon _1+12 {\alpha }^{3}\epsilon _2-24 {\alpha }^{2} \epsilon _1\epsilon _2 \\&\quad -\,13 {\alpha }^{2}\epsilon _2^2+2 {\alpha }^{2}\epsilon _1-8 {\alpha }^{2}\epsilon _2+24 \alpha \epsilon _1\epsilon _2\\&\quad +\,12 \alpha \epsilon _2^{2}-8 \epsilon _1\epsilon _2-4 \epsilon _2^{2}) \}, \\&g_{20}(\epsilon _1,\epsilon _2)=\{1024 \alpha (1-\alpha ) ^{7}\}^{-1} ({\alpha }^{7}-8 {\alpha }^{6}\epsilon _2\\&\quad +\,16 {\alpha }^{5}\epsilon _2^{2}-6 {\alpha }^{6}+32 {\alpha }^{5}\epsilon _2-32 {\alpha }^ {4}\epsilon _2^{2} \\&\quad +\,12 {\alpha }^{5}-56 {\alpha }^{4}\epsilon _2-32 {\alpha }^{3}\epsilon _2^{2}-8 {\alpha }^{4}+64 {\alpha }^{3 }\epsilon _2\\&\quad +\,128 {\alpha }^{2}\epsilon _2^{2}-32 {\alpha }^{2}\epsilon _2 +32 \epsilon _2^2 \\&\quad -\,112 \alpha \epsilon _2^{2}) ({\alpha }^{5}-6 {\alpha }^{4}+16 {\alpha }^{3}\epsilon _1+12 { \alpha }^{3}\\&\quad -\,48 {\alpha }^{2}\epsilon _1-8 {\alpha }^{2}+48 \alpha \epsilon _1-16 \epsilon _1), \\&g_{11}(\epsilon _1,\epsilon _2)=-\{64 {\alpha }^{2} (2-\alpha ) ^{2} (1-\alpha )^{5}\}^{-1} ( {\alpha }^{12}\\&\quad -\,2 {\alpha }^{11}\epsilon _2-8 {\alpha }^{10}{\epsilon _2}^{2}-10 {\alpha }^{11}+16 {\alpha }^{10}\epsilon _1 \\&\quad +\,12 {\alpha }^{10}\epsilon _2-32 {\alpha }^{9}\epsilon _1\epsilon _{{2} }+112 {\alpha }^{9}\epsilon _2^{2}\\&\quad -\,128 {\alpha }^{8}\epsilon _{{1} }\epsilon _2^{2}-64 {\alpha }^{8}\epsilon _2^{3}+42 {\alpha }^{10}-256 \epsilon _2^3 \end{aligned}$$
$$\begin{aligned}&\quad -\,128 {\alpha }^{9}\epsilon _1-2 {\alpha }^{9}\epsilon _2+ 288 {\alpha }^{8}\epsilon _1\epsilon _2-624 {\alpha }^{8}{ \epsilon _2}^{2}\\&\quad +\,640 {\alpha }^{7}\epsilon _1\epsilon _2^{2 }+640 {\alpha }^{7}\epsilon _2^{3} \\&\quad -\,100 {\alpha }^{9}+416 {\alpha }^{8}\epsilon _1-152 {\alpha }^{8}\epsilon _2\\&\quad -\,832 {\alpha }^{7} \epsilon _1\epsilon _2+1792 {\alpha }^{7}\epsilon _2^{2}- 896 {\alpha }^{6}\epsilon _1\epsilon _2^{2} \\&\quad -\,2752 {\alpha }^{6}\epsilon _2^{3}+160 {\alpha }^{8}-704 {\alpha }^{7}\epsilon _1 \\&\quad +\,496 {\alpha }^{7}\epsilon _2+448 {\alpha }^{6}\epsilon _1 \epsilon _2-2760 {\alpha }^{6}\epsilon _2^{2} \\&\quad -\,896 {\alpha }^{5}\epsilon _1\epsilon _2^{2}+6656 {\alpha }^{5}\epsilon _2 ^{3}-192 {\alpha }^{7}\\&\quad +\,656 {\alpha }^{6}\epsilon _1-704 {\alpha }^{ 6}\epsilon _2+2400 {\alpha }^{5}\epsilon _1\epsilon _2 \\&\quad +\,1872{\alpha }^{5}\epsilon _2^{2}+4480 {\alpha }^{4}\epsilon _1\epsilon _2^{2}-9920 {\alpha }^{4}\epsilon _2^{3}\\&\quad +\,160 { \alpha }^{6}-320 {\alpha }^{5}\epsilon _1+480 {\alpha }^{5}\epsilon _2 \\&\quad -\,5728 {\alpha }^{4}\epsilon _1\epsilon _2+512 {\alpha }^{4} \epsilon _2^{2}-6272 {\alpha }^{3}\epsilon _1\epsilon _2^ {2}\\&\quad +\,9344 {\alpha }^{3}\epsilon _2^{3}+64 {\alpha }^{4}\epsilon _1 +256 \epsilon _1\epsilon _2^{2} \\&\quad -\,64 {\alpha }^{5} -128 {\alpha }^{4}\epsilon _2+5632 { \alpha }^{3}\epsilon _1\epsilon _2\\&\quad -\,1792 {\alpha }^{3}\epsilon _2^{2}+4480 {\alpha }^{2}\epsilon _1\epsilon _2^{2}-5440 { \alpha }^{2}\epsilon _2^{3} \end{aligned}$$
$$\begin{aligned}&\quad -\,2688 {\alpha }^{2}\epsilon _1 \epsilon _2+1152 {\alpha }^{2}\epsilon _2^{2}-1664 \alpha \epsilon _1\epsilon _2^{2}\\&\quad +\,1792 \alpha \epsilon _2^{3}+ 512 \alpha \epsilon _1\epsilon _2-256 \alpha \epsilon _2^{2}), \\&g_{02}(\epsilon _1,\epsilon _2)= -\{16 {\alpha }^{2} (2-\alpha )^{3} (1-\alpha )\}^{-1} ( {\alpha }^{8}+4\alpha ^{7}\epsilon _2\\&\quad -\,6\alpha ^{7}+16 {\alpha }^{6}\epsilon _1-36\alpha ^{6}\epsilon _2 \\&\quad +\,64\alpha ^{5}\epsilon _1\epsilon _2+32\alpha ^{5}\epsilon _2^{2}+8 { \alpha }^{6}-80\alpha ^{5}\epsilon _1+112\alpha ^{5}\epsilon _2\\&\quad -\,128\alpha ^{4}\epsilon _1\epsilon _2-224\alpha ^{4}\epsilon _2^{2} \\&\quad +\,16\alpha ^{5}+48\alpha ^{4}\epsilon _1- 112\alpha ^{4}\epsilon _2\\&\quad -\,128\alpha ^{3}\epsilon _1 \epsilon _2+608\alpha ^{3}\epsilon _2^{2}-48\alpha ^{4}+ 272\alpha ^{3}\epsilon _1 \\&\quad -\,96\alpha ^{3}\epsilon _2+512 { \alpha }^{2}\epsilon _1\epsilon _2-800\alpha ^{2}\epsilon _2^{2}\\&\quad +\,32\alpha ^{3}-448\alpha ^{2}\epsilon _1+256\alpha ^{2}\epsilon _2-128 \epsilon _2^{2} \\&\quad -\,448 \alpha \epsilon _1\epsilon _2+512 \alpha \epsilon _2^{2}+192 \alpha \epsilon _1\\&\quad -\,128 \alpha \epsilon _2+128 \epsilon _1\epsilon _2 ). \end{aligned}$$
