Derousseau's Generalization of the Malfatti circles

\[ \begin{alignedat}{4} I&{}\approx{}&0.267949192431&{}:{}&0.267949192431&{}:{}&0.464101615138&,\\ I_{\mathbf{a}}&{}\approx{}&-0.577350269190&{}:{}&0.577350269190&{}:{}&1.000000000000&,\\ I_{\mathbf{b}}&{}\approx{}&0.577350269190&{}:{}&-0.577350269190&{}:{}&1.000000000000&,\\ I_{\mathbf{c}}&{}\approx{}&3.732050807569&{}:{}&3.732050807569&{}:{}&-6.464101615138&. \end{alignedat} \] \[ \begin{alignedat}{4} P&{}\approx{}&0.200997996569&{}:{}&0.200997996569&{}:{}&0.598004006862&,\\ P_{\mathbf{1}}&{}\approx{}&0.034750498383&{}:{}&0.034750498383&{}:{}&0.930499003235&,\\ P_{\mathbf{2}}&{}\approx{}&0.000300053081&{}:{}&0.998807236804&{}:{}&0.000892710115&,\\ P_{\mathbf{3}}&{}\approx{}&0.000297925393&{}:{}&0.991724655749&{}:{}&0.007977418858&,\\ P_{\mathbf{4}}&{}\approx{}&0.998807236804&{}:{}&0.000300053081&{}:{}&0.000892710115&,\\ P_{\mathbf{5}}&{}\approx{}&0.991724655749&{}:{}&0.000297925393&{}:{}&0.007977418858&,\\ P_{\mathbf{6}}&{}\approx{}&0.499776655765&{}:{}&0.499776655765&{}:{}&0.000446688470&,\\ P_{\mathbf{7}}&{}\approx{}&0.497997059411&{}:{}&0.497997059411&{}:{}&0.004005881179&,\\ P_{\mathbf{a}}&{}\approx{}&-0.297490879250&{}:{}&0.725573314346&{}:{}&0.571917564904&,\\ P_{\mathbf{1a}}&{}\approx{}&-0.125662529635&{}:{}&0.884079970433&{}:{}&0.241582559203&,\\ P_{\mathbf{2a}}&{}\approx{}&-0.002671022744&{}:{}&0.006514562161&{}:{}&0.996156460583&,\\ P_{\mathbf{3a}}&{}\approx{}&-0.002638628253&{}:{}&0.018563675225&{}:{}&0.984074953028&,\\ P_{\mathbf{4a}}&{}\approx{}&1.128861538026&{}:{}&-0.002385848374&{}:{}&-0.126475689652&,\\ P_{\mathbf{5a}}&{}\approx{}&1.127104679846&{}:{}&-0.000825825539&{}:{}&-0.126278854307&,\\ P_{\mathbf{6a}}&{}\approx{}&1.002698292943&{}:{}&-0.002119202410&{}:{}&-0.000579090533&,\\ P_{\mathbf{7a}}&{}\approx{}&1.001311947531&{}:{}&-0.000733657657&{}:{}&-0.000578289874&,\\ P_{\mathbf{b}}&{}\approx{}&0.725573314346&{}:{}&-0.297490879250&{}:{}&0.571917564904&,\\ P_{\mathbf{1b}}&{}\approx{}&0.884079970433&{}:{}&-0.125662529635&{}:{}&0.241582559203&,\\ P_{\mathbf{2b}}&{}\approx{}&-0.002385848374&{}:{}&1.128861538026&{}:{}&-0.126475689652&,\\ P_{\mathbf{3b}}&{}\approx{}&-0.000825825539&{}:{}&1.127104679846&{}:{}&-0.126278854307&,\\ P_{\mathbf{4b}}&{}\approx{}&0.006514562161&{}:{}&-0.002671022744&{}:{}&0.996156460583&,\\ P_{\mathbf{5b}}&{}\approx{}&0.018563675225&{}:{}&-0.002638628253&{}:{}&0.984074953028&,\\ P_{\mathbf{6b}}&{}\approx{}&-0.002119202410&{}:{}&1.002698292943&{}:{}&-0.000579090533&,\\ P_{\mathbf{7b}}&{}\approx{}&-0.000733657657&{}:{}&1.001311947531&{}:{}&-0.000578289874&,\\ P_{\mathbf{c}}&{}\approx{}&1.281796882634&{}:{}&1.281796882634&{}:{}&-1.563593765269&,\\ P_{\mathbf{1c}}&{}\approx{}&-0.553708949516&{}:{}&-0.553708949516&{}:{}&2.107417899032&,\\ P_{\mathbf{2c}}&{}\approx{}&1.082502636859&{}:{}&0.375276056093&{}:{}&-0.457778692951&,\\ P_{\mathbf{3c}}&{}\approx{}&-0.140963072472&{}:{}&-0.406615064225&{}:{}&1.547578136697&,\\ P_{\mathbf{4c}}&{}\approx{}&0.375276056093&{}:{}&1.082502636859&{}:{}&-0.457778692951&,\\ P_{\mathbf{5c}}&{}\approx{}&-0.406615064225&{}:{}&-0.140963072472&{}:{}&1.547578136697&,\\ P_{\mathbf{6c}}&{}\approx{}&0.634070866196&{}:{}&0.634070866196&{}:{}&-0.268141732392&,\\ P_{\mathbf{7c}}&{}\approx{}&-0.111375854809&{}:{}&-0.111375854809&{}:{}&1.222751709617&. \end{alignedat} \] \[ \begin{alignedat}{4} P^-&{}\approx{}&0.178675585363&{}:{}&0.178675585363&{}:{}&0.642648829273&,\\ P^-_{\mathbf{1}}&{}\approx{}&-0.000000000000&{}:{}&-0.000000000000&{}:{}&1.000000000000&,\\ P^-_{\mathbf{2}}&{}\approx{}&-0.005590922234&{}:{}&1.014893470850&{}:{}&-0.009302548617&,\\ P^-_{\mathbf{3}}&{}\approx{}&-0.018048858103&{}:{}&1.041337541472&{}:{}&-0.023288683369&,\\ P^-_{\mathbf{4}}&{}\approx{}&1.014893470850&{}:{}&-0.005590922234&{}:{}&-0.009302548617&,\\ P^-_{\mathbf{5}}&{}\approx{}&1.041337541472&{}:{}&-0.018048858103&{}:{}&-0.023288683369&,\\ P^-_{\mathbf{6}}&{}\approx{}&0.880812611974&{}:{}&0.880812611974&{}:{}&-0.761625223947&,\\ P^-_{\mathbf{7}}&{}\approx{}&0.000000000000&{}:{}&0.000000000000&{}:{}&1.000000000000&,\\ P^-_{\mathbf{a}}&{}\approx{}&-0.220559353333&{}:{}&0.766318865326&{}:{}&0.454240488007&,\\ P^-_{\mathbf{1a}}&{}\approx{}&-0.043004706904&{}:{}&0.940210803864&{}:{}&0.102793903041&,\\ P^-_{\mathbf{2a}}&{}\approx{}&0.013254230062&{}:{}&-0.009304180209&{}:{}&0.996049950148&,\\ P^-_{\mathbf{3a}}&{}\approx{}&0.024593736402&{}:{}&-0.007914090680&{}:{}&0.983320354278&,\\ P^-_{\mathbf{4a}}&{}\approx{}&0.700263989257&{}:{}&0.143242893538&{}:{}&0.156493117205&,\\ P^-_{\mathbf{5a}}&{}\approx{}&0.846335949968&{}:{}&0.094415041845&{}:{}&0.059249008187&,\\ P^-_{\mathbf{6a}}&{}\approx{}&0.969603343034&{}:{}&0.010018091086&{}:{}&0.020378565880&,\\ P^-_{\mathbf{7a}}&{}\approx{}&0.981700717908&{}:{}&0.006447699134&{}:{}&0.011851582958&,\\ P^-_{\mathbf{b}}&{}\approx{}&0.766318865326&{}:{}&-0.220559353333&{}:{}&0.454240488007&,\\ P^-_{\mathbf{1b}}&{}\approx{}&0.940210803864&{}:{}&-0.043004706904&{}:{}&0.102793903041&,\\ P^-_{\mathbf{2b}}&{}\approx{}&0.143242893538&{}:{}&0.700263989257&{}:{}&0.156493117205&,\\ P^-_{\mathbf{3b}}&{}\approx{}&0.094415041845&{}:{}&0.846335949968&{}:{}&0.059249008187&,\\ P^-_{\mathbf{4b}}&{}\approx{}&-0.009304180209&{}:{}&0.013254230062&{}:{}&0.996049950148&,\\ P^-_{\mathbf{5b}}&{}\approx{}&-0.007914090680&{}:{}&0.024593736402&{}:{}&0.983320354278&,\\ P^-_{\mathbf{6b}}&{}\approx{}&0.010018091086&{}:{}&0.969603343034&{}:{}&0.020378565880&,\\ P^-_{\mathbf{7b}}&{}\approx{}&0.006447699134&{}:{}&0.981700717908&{}:{}&0.011851582958&,\\ P^-_{\mathbf{c}}&{}\approx{}&0.965011002811&{}:{}&0.965011002811&{}:{}&-0.930022005622&,\\ P^-_{\mathbf{1c}}&{}\approx{}&-0.000000000000&{}:{}&-0.000000000000&{}:{}&1.000000000000&,\\ P^-_{\mathbf{2c}}&{}\approx{}&0.922566064186&{}:{}&0.172648659120&{}:{}&-0.095214723306&,\\ P^-_{\mathbf{3c}}&{}\approx{}&0.092513363428&{}:{}&-0.157124360846&{}:{}&1.064610997418&,\\ P^-_{\mathbf{4c}}&{}\approx{}&0.172648659120&{}:{}&0.922566064186&{}:{}&-0.095214723306&,\\ P^-_{\mathbf{5c}}&{}\approx{}&-0.157124360846&{}:{}&0.092513363428&{}:{}&1.064610997418&,\\ P^-_{\mathbf{6c}}&{}\approx{}&0.448090591912&{}:{}&0.448090591912&{}:{}&0.103818816175&,\\ P^-_{\mathbf{7c}}&{}\approx{}&-0.000000000000&{}:{}&-0.000000000000&{}:{}&1.000000000000&. \end{alignedat} \] \[ \begin{alignedat}{4} P^+&{}\approx{}&0.214390160088&{}:{}&0.214390160088&{}:{}&0.571219679824&,\\ P^+_{\mathbf{1}}&{}\approx{}&0.061522150572&{}:{}&0.061522150572&{}:{}&0.876955698855&,\\ P^+_{\mathbf{2}}&{}\approx{}&0.005942640930&{}:{}&0.983399263774&{}:{}&0.010658095296&,\\ P^+_{\mathbf{3}}&{}\approx{}&0.016432714946&{}:{}&0.948093385425&{}:{}&0.035473899628&,\\ P^+_{\mathbf{4}}&{}\approx{}&0.983399263774&{}:{}&0.005942640930&{}:{}&0.010658095296&,\\ P^+_{\mathbf{5}}&{}\approx{}&0.948093385425&{}:{}&0.016432714946&{}:{}&0.035473899628&,\\ P^+_{\mathbf{6}}&{}\approx{}&0.410899852618&{}:{}&0.410899852618&{}:{}&0.178200294764&,\\ P^+_{\mathbf{7}}&{}\approx{}&0.348426301666&{}:{}&0.348426301666&{}:{}&0.303147396668&,\\ P^+_{\mathbf{a}}&{}\approx{}&-0.347130943579&{}:{}&0.699282249043&{}:{}&0.647848694536&,\\ P^+_{\mathbf{1a}}&{}\approx{}&-0.186173583565&{}:{}&0.842988446646&{}:{}&0.343185136919&,\\ P^+_{\mathbf{2a}}&{}\approx{}&-0.017759997771&{}:{}&0.021502619901&{}:{}&0.996257377870&,\\ P^+_{\mathbf{3a}}&{}\approx{}&-0.027513619937&{}:{}&0.042749390091&{}:{}&0.984764229846&,\\ P^+_{\mathbf{4a}}&{}\approx{}&1.990185219782&{}:{}&-0.295046141261&{}:{}&-0.695139078521&,\\ P^+_{\mathbf{5a}}&{}\approx{}&1.545820515123&{}:{}&-0.142860372465&{}:{}&-0.402960142658&,\\ P^+_{\mathbf{6a}}&{}\approx{}&1.037240241488&{}:{}&-0.014787170440&{}:{}&-0.022453071048&,\\ P^+_{\mathbf{7a}}&{}\approx{}&1.021422839873&{}:{}&-0.008097983917&{}:{}&-0.013324855957&,\\ P^+_{\mathbf{b}}&{}\approx{}&0.699282249043&{}:{}&-0.347130943579&{}:{}&0.647848694536&,\\ P^+_{\mathbf{1b}}&{}\approx{}&0.842988446646&{}:{}&-0.186173583565&{}:{}&0.343185136919&,\\ P^+_{\mathbf{2b}}&{}\approx{}&-0.295046141261&{}:{}&1.990185219782&{}:{}&-0.695139078521&,\\ P^+_{\mathbf{3b}}&{}\approx{}&-0.142860372465&{}:{}&1.545820515123&{}:{}&-0.402960142658&,\\ P^+_{\mathbf{4b}}&{}\approx{}&0.021502619901&{}:{}&-0.017759997771&{}:{}&0.996257377870&,\\ P^+_{\mathbf{5b}}&{}\approx{}&0.042749390091&{}:{}&-0.027513619937&{}:{}&0.984764229846&,\\ P^+_{\mathbf{6b}}&{}\approx{}&-0.014787170440&{}:{}&1.037240241488&{}:{}&-0.022453071048&,\\ P^+_{\mathbf{7b}}&{}\approx{}&-0.008097983917&{}:{}&1.021422839873&{}:{}&-0.013324855957&,\\ P^+_{\mathbf{c}}&{}\approx{}&1.533499126792&{}:{}&1.533499126792&{}:{}&-2.066998253585&,\\ P^+_{\mathbf{1c}}&{}\approx{}&-1.300344660511&{}:{}&-1.300344660511&{}:{}&3.600689321023&,\\ P^+_{\mathbf{2c}}&{}\approx{}&1.225210460522&{}:{}&0.556075946659&{}:{}&-0.781286407181&,\\ P^+_{\mathbf{3c}}&{}\approx{}&-0.406447887546&{}:{}&-0.690309617784&{}:{}&2.096757505330&,\\ P^+_{\mathbf{4c}}&{}\approx{}&0.556075946659&{}:{}&1.225210460522&{}:{}&-0.781286407181&,\\ P^+_{\mathbf{5c}}&{}\approx{}&-0.690309617784&{}:{}&-0.406447887546&{}:{}&2.096757505330&,\\ P^+_{\mathbf{6c}}&{}\approx{}&0.800114970091&{}:{}&0.800114970091&{}:{}&-0.600229940182&,\\ P^+_{\mathbf{7c}}&{}\approx{}&-0.229603791727&{}:{}&-0.229603791727&{}:{}&1.459207583454&. \end{alignedat} \] \[ \begin{alignedat}{4} Q&{}\approx{}&0.156606998336&{}:{}&0.156606998336&{}:{}&0.686786003328&,\\ Q_{\mathbf{1}}&{}\approx{}&-0.089635998603&{}:{}&-0.089635998603&{}:{}&1.179271997205&,\\ Q_{\mathbf{2}}&{}\approx{}&-0.019116778140&{}:{}&1.102951701196&{}:{}&-0.083834923055&,\\ Q_{\mathbf{3}}&{}\approx{}&-0.014316041268&{}:{}&0.825970880384&{}:{}&0.188345160884&,\\ Q_{\mathbf{4}}&{}\approx{}&1.102951701196&{}:{}&-0.019116778140&{}:{}&-0.083834923055&,\\ Q_{\mathbf{5}}&{}\approx{}&0.825970880384&{}:{}&-0.014316041268&{}:{}&0.188345160884&,\\ Q_{\mathbf{6}}&{}\approx{}&0.519753114443&{}:{}&0.519753114443&{}:{}&-0.039506228886&,\\ Q_{\mathbf{7}}&{}\approx{}&0.448827229421&{}:{}&0.448827229421&{}:{}&0.102345541159&,\\ Q_{\mathbf{a}}&{}\approx{}&-0.145693943275&{}:{}&0.849166530897&{}:{}&0.296527412378&,\\ Q_{\mathbf{1a}}&{}\approx{}&0.112819660764&{}:{}&1.116799507471&{}:{}&-0.229619168235&,\\ Q_{\mathbf{2a}}&{}\approx{}&0.042518248463&{}:{}&-0.247814512636&{}:{}&1.205296264173&,\\ Q_{\mathbf{3a}}&{}\approx{}&0.025479836435&{}:{}&0.252224378167&{}:{}&0.722295785398&,\\ Q_{\mathbf{4a}}&{}\approx{}&2.966537620520&{}:{}&-0.508977389101&{}:{}&-1.457560231419&,\\ Q_{\mathbf{5a}}&{}\approx{}&1.640186660835&{}:{}&0.165692500245&{}:{}&-0.805879161080&,\\ Q_{\mathbf{6a}}&{}\approx{}&1.157804993949&{}:{}&-0.198647931795&{}:{}&0.040842937846&,\\ Q_{\mathbf{7a}}&{}\approx{}&0.880051842567&{}:{}&0.088903289864&{}:{}&0.031044867569&,\\ Q_{\mathbf{b}}&{}\approx{}&0.849166530897&{}:{}&-0.145693943275&{}:{}&0.296527412378&,\\ Q_{\mathbf{1b}}&{}\approx{}&1.116799507471&{}:{}&0.112819660764&{}:{}&-0.229619168235&,\\ Q_{\mathbf{2b}}&{}\approx{}&-0.508977389101&{}:{}&2.966537620520&{}:{}&-1.457560231419&,\\ Q_{\mathbf{3b}}&{}\approx{}&0.165692500245&{}:{}&1.640186660835&{}:{}&-0.805879161080&,\\ Q_{\mathbf{4b}}&{}\approx{}&-0.247814512636&{}:{}&0.042518248463&{}:{}&1.205296264173&,\\ Q_{\mathbf{5b}}&{}\approx{}&0.252224378167&{}:{}&0.025479836435&{}:{}&0.722295785398&,\\ Q_{\mathbf{6b}}&{}\approx{}&-0.198647931795&{}:{}&1.157804993949&{}:{}&0.040842937846&,\\ Q_{\mathbf{7b}}&{}\approx{}&0.088903289864&{}:{}&0.880051842567&{}:{}&0.031044867569&,\\ Q_{\mathbf{c}}&{}\approx{}&0.801550210820&{}:{}&0.801550210820&{}:{}&-0.603100421640&,\\ Q_{\mathbf{1c}}&{}\approx{}&1.490422535542&{}:{}&1.490422535542&{}:{}&-1.980845071085&,\\ Q_{\mathbf{2c}}&{}\approx{}&1.170650750933&{}:{}&-0.689268282684&{}:{}&0.518617531751&,\\ Q_{\mathbf{3c}}&{}\approx{}&0.641495994501&{}:{}&-1.089514469981&{}:{}&1.448018475480&,\\ Q_{\mathbf{4c}}&{}\approx{}&-0.689268282684&{}:{}&1.170650750933&{}:{}&0.518617531751&,\\ Q_{\mathbf{5c}}&{}\approx{}&-1.089514469981&{}:{}&0.641495994501&{}:{}&1.448018475480&,\\ Q_{\mathbf{6c}}&{}\approx{}&0.409330032484&{}:{}&0.409330032484&{}:{}&0.181339935031&,\\ Q_{\mathbf{7c}}&{}\approx{}&0.234893275893&{}:{}&0.234893275893&{}:{}&0.530213448213&. \end{alignedat} \] \[ \begin{alignedat}{4} I^\prime&{}\approx{}&0.234188987528&{}:{}&0.234188987528&{}:{}&0.531622024945&,\\ I^\prime_{\mathbf{1}}&{}\approx{}&0.113505228594&{}:{}&0.113505228594&{}:{}&0.772989542812&,\\ I^\prime_{\mathbf{2}}&{}\approx{}&0.016402709845&{}:{}&0.946362226653&{}:{}&0.037235063502&,\\ I^\prime_{\mathbf{3}}&{}\approx{}&0.015265859359&{}:{}&0.880771091600&{}:{}&0.103963049041&,\\ I^\prime_{\mathbf{4}}&{}\approx{}&0.946362226653&{}:{}&0.016402709845&{}:{}&0.037235063502&,\\ I^\prime_{\mathbf{5}}&{}\approx{}&0.880771091600&{}:{}&0.015265859359&{}:{}&0.103963049041&,\\ I^\prime_{\mathbf{6}}&{}\approx{}&0.490353408147&{}:{}&0.490353408147&{}:{}&0.019293183706&,\\ I^\prime_{\mathbf{7}}&{}\approx{}&0.472135417461&{}:{}&0.472135417461&{}:{}&0.055729165078&,\\ I^\prime_{\mathbf{a}}&{}\approx{}&-0.419023491590&{}:{}&0.654398348313&{}:{}&0.764625143278&,\\ I^\prime_{\mathbf{1a}}&{}\approx{}&-0.287587527212&{}:{}&0.762803932467&{}:{}&0.524783594745&,\\ I^\prime_{\mathbf{2a}}&{}\approx{}&-0.038494686889&{}:{}&0.060118012533&{}:{}&0.978376674356&,\\ I^\prime_{\mathbf{3a}}&{}\approx{}&-0.036943566834&{}:{}&0.097989987026&{}:{}&0.938953579808&,\\ I^\prime_{\mathbf{4a}}&{}\approx{}&1.947384233015&{}:{}&-0.089526731899&{}:{}&-0.857857501116&,\\ I^\prime_{\mathbf{5a}}&{}\approx{}&1.878238345509&{}:{}&-0.050840841584&{}:{}&-0.827397503925&,\\ I^\prime_{\mathbf{6a}}&{}\approx{}&1.084129032472&{}:{}&-0.049840461676&{}:{}&-0.034288570796&,\\ I^\prime_{\mathbf{7a}}&{}\approx{}&1.062356189989&{}:{}&-0.028756245388&{}:{}&-0.033599944601&,\\ I^\prime_{\mathbf{b}}&{}\approx{}&0.654398348313&{}:{}&-0.419023491590&{}:{}&0.764625143278&,\\ I^\prime_{\mathbf{1b}}&{}\approx{}&0.762803932467&{}:{}&-0.287587527212&{}:{}&0.524783594745&,\\ I^\prime_{\mathbf{2b}}&{}\approx{}&-0.089526731899&{}:{}&1.947384233015&{}:{}&-0.857857501116&,\\ I^\prime_{\mathbf{3b}}&{}\approx{}&-0.050840841584&{}:{}&1.878238345509&{}:{}&-0.827397503925&,\\ I^\prime_{\mathbf{4b}}&{}\approx{}&0.060118012533&{}:{}&-0.038494686889&{}:{}&0.978376674356&,\\ I^\prime_{\mathbf{5b}}&{}\approx{}&0.097989987026&{}:{}&-0.036943566834&{}:{}&0.938953579808&,\\ I^\prime_{\mathbf{6b}}&{}\approx{}&-0.049840461676&{}:{}&1.084129032472&{}:{}&-0.034288570796&,\\ I^\prime_{\mathbf{7b}}&{}\approx{}&-0.028756245388&{}:{}&1.062356189989&{}:{}&-0.033599944601&,\\ I^\prime_{\mathbf{c}}&{}\approx{}&1.830023832870&{}:{}&1.830023832870&{}:{}&-2.660047665740&,\\ I^\prime_{\mathbf{1c}}&{}\approx{}&-1.762033366018&{}:{}&-1.762033366018&{}:{}&4.524066732036&,\\ I^\prime_{\mathbf{2c}}&{}\approx{}&1.364352042889&{}:{}&0.803317803221&{}:{}&-1.167669846111&,\\ I^\prime_{\mathbf{3c}}&{}\approx{}&-0.601583108703&{}:{}&-1.021726569529&{}:{}&2.623309678232&,\\ I^\prime_{\mathbf{4c}}&{}\approx{}&0.803317803221&{}:{}&1.364352042889&{}:{}&-1.167669846111&,\\ I^\prime_{\mathbf{5c}}&{}\approx{}&-1.021726569529&{}:{}&-0.601583108703&{}:{}&2.623309678232&,\\ I^\prime_{\mathbf{6c}}&{}\approx{}&0.874005200027&{}:{}&0.874005200027&{}:{}&-0.748010400053&,\\ I^\prime_{\mathbf{7c}}&{}\approx{}&-0.423607280037&{}:{}&-0.423607280037&{}:{}&1.847214560075&. \end{alignedat} \]

\[ \begin{alignedat}{4} A^\prime&{}\approx{}&0.422649730810&{}:{}&0.211324865405&{}:{}&0.366025403784&,\\B^\prime&{}\approx{}&0.211324865405&{}:{}&0.422649730810&{}:{}&0.366025403784&,\\C^\prime&{}\approx{}&0.108772844311&{}:{}&0.108772844311&{}:{}&0.782454311379&,\\[.5em] A^\prime_{\mathbf{1}}&{}\approx{}&-0.000000000000&{}:{}&0.366025403784&{}:{}&0.633974596216&,\\B^\prime_{\mathbf{1}}&{}\approx{}&0.366025403784&{}:{}&-0.000000000000&{}:{}&0.633974596216&,\\C^\prime_{\mathbf{1}}&{}\approx{}&0.036976074586&{}:{}&0.036976074586&{}:{}&0.926047850828&,\\[.5em] A^\prime_{\mathbf{2}}&{}\approx{}&-0.531377455822&{}:{}&0.560523051614&{}:{}&0.970854404209&,\\B^\prime_{\mathbf{2}}&{}\approx{}&0.005720218646&{}:{}&0.984372072030&{}:{}&0.009907709325&,\\C^\prime_{\mathbf{2}}&{}\approx{}&2.366025403784&{}:{}&2.366025403784&{}:{}&-3.732050807569&,\\[.5em] A^\prime_{\mathbf{3}}&{}\approx{}&-0.561722341219&{}:{}&0.571630050544&{}:{}&0.990092290675&,\\B^\prime_{\mathbf{3}}&{}\approx{}&0.016827217576&{}:{}&0.954027186633&{}:{}&0.029145595791&,\\C^\prime_{\mathbf{3}}&{}\approx{}&1.366025403784&{}:{}&1.366025403784&{}:{}&-1.732050807569&,\\[.5em] A^\prime_{\mathbf{4}}&{}\approx{}&0.984372072030&{}:{}&0.005720218646&{}:{}&0.009907709325&,\\B^\prime_{\mathbf{4}}&{}\approx{}&0.560523051614&{}:{}&-0.531377455822&{}:{}&0.970854404209&,\\C^\prime_{\mathbf{4}}&{}\approx{}&2.366025403784&{}:{}&2.366025403784&{}:{}&-3.732050807569&,\\[.5em] A^\prime_{\mathbf{5}}&{}\approx{}&0.954027186633&{}:{}&0.016827217576&{}:{}&0.029145595791&,\\B^\prime_{\mathbf{5}}&{}\approx{}&0.571630050544&{}:{}&-0.561722341219&{}:{}&0.990092290675&,\\C^\prime_{\mathbf{5}}&{}\approx{}&1.366025403784&{}:{}&1.366025403784&{}:{}&-1.732050807569&,\\[.5em] A^\prime_{\mathbf{6}}&{}\approx{}&0.422649730810&{}:{}&0.211324865405&{}:{}&0.366025403784&,\\B^\prime_{\mathbf{6}}&{}\approx{}&0.211324865405&{}:{}&0.422649730810&{}:{}&0.366025403784&,\\C^\prime_{\mathbf{6}}&{}\approx{}&3.695074732983&{}:{}&3.695074732983&{}:{}&-6.390149465966&,\\[.5em] A^\prime_{\mathbf{7}}&{}\approx{}&-0.000000000000&{}:{}&0.366025403784&{}:{}&0.633974596216&,\\B^\prime_{\mathbf{7}}&{}\approx{}&0.366025403784&{}:{}&-0.000000000000&{}:{}&0.633974596216&,\\C^\prime_{\mathbf{7}}&{}\approx{}&3.623277963258&{}:{}&3.623277963258&{}:{}&-6.246555926517&,\\[.5em] A^\prime_{\mathbf{a}}&{}\approx{}&-1.035276180410&{}:{}&0.744962785747&{}:{}&1.290313394663&,\\B^\prime_{\mathbf{a}}&{}\approx{}&-0.179840656176&{}:{}&0.868347502413&{}:{}&0.311493153763&,\\C^\prime_{\mathbf{a}}&{}\approx{}&-0.349396052863&{}:{}&0.349396052863&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{1a}}&{}\approx{}&-0.175067250635&{}:{}&0.430104464888&{}:{}&0.744962785747&,\\B^\prime_{\mathbf{1a}}&{}\approx{}&-0.103831051254&{}:{}&0.923990395078&{}:{}&0.179840656176&,\\C^\prime_{\mathbf{1a}}&{}\approx{}&-1.027821446333&{}:{}&1.027821446333&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{2a}}&{}\approx{}&0.232673012021&{}:{}&0.280861170610&{}:{}&0.486465817369&,\\B^\prime_{\mathbf{2a}}&{}\approx{}&-6.643942271314&{}:{}&-3.863703305156&{}:{}&11.507645576470&,\\C^\prime_{\mathbf{2a}}&{}\approx{}&-0.016062719530&{}:{}&0.016062719530&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{3a}}&{}\approx{}&0.247582480175&{}:{}&0.275403926508&{}:{}&0.477013593316&,\\B^\prime_{\mathbf{3a}}&{}\approx{}&-2.258531589634&{}:{}&-0.653359874111&{}:{}&3.911891463745&,\\C^\prime_{\mathbf{3a}}&{}\approx{}&-0.027821446333&{}:{}&0.027821446333&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{4a}}&{}\approx{}&2.303225372841&{}:{}&-0.477013593316&{}:{}&-0.826211779525&,\\B^\prime_{\mathbf{4a}}&{}\approx{}&3.911891463745&{}:{}&3.863703305156&{}:{}&-6.775594768901&,\\C^\prime_{\mathbf{4a}}&{}\approx{}&0.926746322053&{}:{}&-0.926746322053&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{5a}}&{}\approx{}&1.443016443066&{}:{}&-0.162155272456&{}:{}&-0.280861170610&,\\B^\prime_{\mathbf{5a}}&{}\approx{}&3.835881858823&{}:{}&3.808060412490&{}:{}&-6.643942271314&,\\C^\prime_{\mathbf{5a}}&{}\approx{}&1.605171715523&{}:{}&-1.605171715523&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{6a}}&{}\approx{}&1.035276180410&{}:{}&-0.012911978179&{}:{}&-0.022364202232&,\\B^\prime_{\mathbf{6a}}&{}\approx{}&10.375993078883&{}:{}&8.595754112725&{}:{}&-17.971747191608&,\\C^\prime_{\mathbf{6a}}&{}\approx{}&0.593412988719&{}:{}&-0.593412988719&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{7a}}&{}\approx{}&1.020366712256&{}:{}&-0.007454734077&{}:{}&-0.012911978179&,\\B^\prime_{\mathbf{7a}}&{}\approx{}&5.990582397203&{}:{}&5.385410681680&{}:{}&-10.375993078883&,\\C^\prime_{\mathbf{7a}}&{}\approx{}&0.605171715523&{}:{}&-0.605171715523&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{b}}&{}\approx{}&0.868347502413&{}:{}&-0.179840656176&{}:{}&0.311493153763&,\\B^\prime_{\mathbf{b}}&{}\approx{}&0.744962785747&{}:{}&-1.035276180410&{}:{}&1.290313394663&,\\C^\prime_{\mathbf{b}}&{}\approx{}&0.349396052863&{}:{}&-0.349396052863&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{1b}}&{}\approx{}&0.923990395078&{}:{}&-0.103831051254&{}:{}&0.179840656176&,\\B^\prime_{\mathbf{1b}}&{}\approx{}&0.430104464888&{}:{}&-0.175067250635&{}:{}&0.744962785747&,\\C^\prime_{\mathbf{1b}}&{}\approx{}&1.027821446333&{}:{}&-1.027821446333&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{2b}}&{}\approx{}&3.863703305156&{}:{}&3.911891463745&{}:{}&-6.775594768901&,\\B^\prime_{\mathbf{2b}}&{}\approx{}&-0.477013593316&{}:{}&2.303225372841&{}:{}&-0.826211779525&,\\C^\prime_{\mathbf{2b}}&{}\approx{}&-0.926746322053&{}:{}&0.926746322053&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{3b}}&{}\approx{}&3.808060412490&{}:{}&3.835881858823&{}:{}&-6.643942271314&,\\B^\prime_{\mathbf{3b}}&{}\approx{}&-0.162155272456&{}:{}&1.443016443066&{}:{}&-0.280861170610&,\\C^\prime_{\mathbf{3b}}&{}\approx{}&-1.605171715523&{}:{}&1.605171715523&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{4b}}&{}\approx{}&-3.863703305156&{}:{}&-6.643942271314&{}:{}&11.507645576470&,\\B^\prime_{\mathbf{4b}}&{}\approx{}&0.280861170610&{}:{}&0.232673012021&{}:{}&0.486465817369&,\\C^\prime_{\mathbf{4b}}&{}\approx{}&0.016062719530&{}:{}&-0.016062719530&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{5b}}&{}\approx{}&-0.653359874111&{}:{}&-2.258531589634&{}:{}&3.911891463745&,\\B^\prime_{\mathbf{5b}}&{}\approx{}&0.275403926508&{}:{}&0.247582480175&{}:{}&0.477013593316&,\\C^\prime_{\mathbf{5b}}&{}\approx{}&0.027821446333&{}:{}&-0.027821446333&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{6b}}&{}\approx{}&8.595754112725&{}:{}&10.375993078883&{}:{}&-17.971747191608&,\\B^\prime_{\mathbf{6b}}&{}\approx{}&-0.012911978179&{}:{}&1.035276180410&{}:{}&-0.022364202232&,\\C^\prime_{\mathbf{6b}}&{}\approx{}&-0.593412988719&{}:{}&0.593412988719&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{7b}}&{}\approx{}&5.385410681680&{}:{}&5.990582397203&{}:{}&-10.375993078883&,\\B^\prime_{\mathbf{7b}}&{}\approx{}&-0.007454734077&{}:{}&1.020366712256&{}:{}&-0.012911978179&,\\C^\prime_{\mathbf{7b}}&{}\approx{}&-0.605171715523&{}:{}&0.605171715523&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{c}}&{}\approx{}&1.577350269190&{}:{}&0.788675134595&{}:{}&-1.366025403784&,\\B^\prime_{\mathbf{c}}&{}\approx{}&0.788675134595&{}:{}&1.577350269190&{}:{}&-1.366025403784&,\\C^\prime_{\mathbf{c}}&{}\approx{}&13.790206641256&{}:{}&13.790206641256&{}:{}&-26.580413282512&,\\[.5em] A^\prime_{\mathbf{1c}}&{}\approx{}&0.000000000000&{}:{}&-1.366025403784&{}:{}&2.366025403784&,\\B^\prime_{\mathbf{1c}}&{}\approx{}&-1.366025403784&{}:{}&0.000000000000&{}:{}&2.366025403784&,\\C^\prime_{\mathbf{1c}}&{}\approx{}&-13.522257448825&{}:{}&-13.522257448825&{}:{}&28.044514897649&,\\[.5em] A^\prime_{\mathbf{2c}}&{}\approx{}&1.217668956838&{}:{}&0.297341324655&{}:{}&-0.515010281493&,\\B^\prime_{\mathbf{2c}}&{}\approx{}&29.136415405085&{}:{}&22.329336426955&{}:{}&-50.465751832040&,\\C^\prime_{\mathbf{2c}}&{}\approx{}&0.633974596216&{}:{}&0.633974596216&{}:{}&-0.267949192431&,\\[.5em] A^\prime_{\mathbf{3c}}&{}\approx{}&0.359681312352&{}:{}&-0.874691593845&{}:{}&1.515010281493&,\\B^\prime_{\mathbf{3c}}&{}\approx{}&-29.713765674275&{}:{}&-20.751986157765&{}:{}&51.465751832040&,\\C^\prime_{\mathbf{3c}}&{}\approx{}&-0.366025403784&{}:{}&-0.366025403784&{}:{}&1.732050807569&,\\[.5em] A^\prime_{\mathbf{4c}}&{}\approx{}&22.329336426955&{}:{}&29.136415405085&{}:{}&-50.465751832040&,\\B^\prime_{\mathbf{4c}}&{}\approx{}&0.297341324655&{}:{}&1.217668956838&{}:{}&-0.515010281493&,\\C^\prime_{\mathbf{4c}}&{}\approx{}&0.633974596216&{}:{}&0.633974596216&{}:{}&-0.267949192431&,\\[.5em] A^\prime_{\mathbf{5c}}&{}\approx{}&-20.751986157765&{}:{}&-29.713765674275&{}:{}&51.465751832040&,\\B^\prime_{\mathbf{5c}}&{}\approx{}&-0.874691593845&{}:{}&0.359681312352&{}:{}&1.515010281493&,\\C^\prime_{\mathbf{5c}}&{}\approx{}&-0.366025403784&{}:{}&-0.366025403784&{}:{}&1.732050807569&,\\[.5em] A^\prime_{\mathbf{6c}}&{}\approx{}&1.577350269190&{}:{}&0.788675134595&{}:{}&-1.366025403784&,\\B^\prime_{\mathbf{6c}}&{}\approx{}&0.788675134595&{}:{}&1.577350269190&{}:{}&-1.366025403784&,\\C^\prime_{\mathbf{6c}}&{}\approx{}&0.405945781451&{}:{}&0.405945781451&{}:{}&0.188108437098&,\\[.5em] A^\prime_{\mathbf{7c}}&{}\approx{}&0.000000000000&{}:{}&-1.366025403784&{}:{}&2.366025403784&,\\B^\prime_{\mathbf{7c}}&{}\approx{}&-1.366025403784&{}:{}&0.000000000000&{}:{}&2.366025403784&,\\C^\prime_{\mathbf{7c}}&{}\approx{}&-0.137996589020&{}:{}&-0.137996589020&{}:{}&1.275993178039&. \end{alignedat} \] \[ \begin{alignedat}{4} A^{\prime\prime}&{}\approx{}&0.143621188068&{}:{}&0.215431782103&{}:{}&0.640947029829&,\\B^{\prime\prime}&{}\approx{}&0.215431782103&{}:{}&0.143621188068&{}:{}&0.640947029829&,\\C^{\prime\prime}&{}\approx{}&0.316987298108&{}:{}&0.316987298108&{}:{}&0.366025403784&,\\[.5em] A^{\prime\prime}_{\mathbf{1}}&{}\approx{}&0.067166913062&{}:{}&0.033583456531&{}:{}&0.899249630407&,\\B^{\prime\prime}_{\mathbf{1}}&{}\approx{}&0.033583456531&{}:{}&0.067166913062&{}:{}&0.899249630407&,\\C^{\prime\prime}_{\mathbf{1}}&{}\approx{}&0.183012701892&{}:{}&0.183012701892&{}:{}&0.633974596216&,\\[.5em] A^{\prime\prime}_{\mathbf{2}}&{}\approx{}&0.011412845039&{}:{}&0.987704368325&{}:{}&0.000882786636&,\\B^{\prime\prime}_{\mathbf{2}}&{}\approx{}&0.023563327620&{}:{}&0.906331673462&{}:{}&0.070104998917&,\\C^{\prime\prime}_{\mathbf{2}}&{}\approx{}&0.000294430308&{}:{}&0.980090327421&{}:{}&0.019615242271&,\\[.5em] A^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.033244911755&{}:{}&0.959040579625&{}:{}&0.007714508620&,\\B^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.006984824160&{}:{}&0.805985572786&{}:{}&0.187029603054&,\\C^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.000283315696&{}:{}&0.943092357278&{}:{}&0.056624327026&,\\[.5em] A^{\prime\prime}_{\mathbf{4}}&{}\approx{}&0.906331673462&{}:{}&0.023563327620&{}:{}&0.070104998917&,\\B^{\prime\prime}_{\mathbf{4}}&{}\approx{}&0.987704368325&{}:{}&0.011412845039&{}:{}&0.000882786636&,\\C^{\prime\prime}_{\mathbf{4}}&{}\approx{}&0.980090327421&{}:{}&0.000294430308&{}:{}&0.019615242271&,\\[.5em] A^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.805985572786&{}:{}&0.006984824160&{}:{}&0.187029603054&,\\B^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.959040579625&{}:{}&0.033244911755&{}:{}&0.007714508620&,\\C^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.943092357278&{}:{}&0.000283315696&{}:{}&0.056624327026&,\\[.5em] A^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.399785608688&{}:{}&0.599678413032&{}:{}&0.000535978280&,\\B^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.599678413032&{}:{}&0.399785608688&{}:{}&0.000535978280&,\\C^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.316987298108&{}:{}&0.316987298108&{}:{}&0.366025403784&,\\[.5em] A^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.664883894507&{}:{}&0.332441947254&{}:{}&0.002674158239&,\\B^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.332441947254&{}:{}&0.664883894507&{}:{}&0.002674158239&,\\C^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.183012701892&{}:{}&0.183012701892&{}:{}&0.633974596216&,\\[.5em] A^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.237457509424&{}:{}&0.692001894452&{}:{}&0.545455614972&,\\B^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.568377067908&{}:{}&0.475688682152&{}:{}&1.092688385756&,\\C^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.346191773636&{}:{}&0.844353659612&{}:{}&0.501838114024&,\\[.5em] A^{\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.188608749598&{}:{}&0.933517071534&{}:{}&0.255091678064&,\\B^{\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.426639284713&{}:{}&0.606437665690&{}:{}&0.820201619023&,\\C^{\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.117683902854&{}:{}&0.827947532633&{}:{}&0.289736370221&,\\[.5em] A^{\prime\prime}_{\mathbf{2a}}&{}\approx{}&-0.032047958349&{}:{}&0.006705430221&{}:{}&1.025342528128&,\\B^{\prime\prime}_{\mathbf{2a}}&{}\approx{}&-0.002606839334&{}:{}&0.030387546170&{}:{}&0.972219293164&,\\C^{\prime\prime}_{\mathbf{2a}}&{}\approx{}&-0.046233708510&{}:{}&0.112762936473&{}:{}&0.933470772037&,\\[.5em] A^{\prime\prime}_{\mathbf{3a}}&{}\approx{}&-0.054965803114&{}:{}&0.019532503527&{}:{}&1.035433299587&,\\B^{\prime\prime}_{\mathbf{3a}}&{}\approx{}&-0.002552665263&{}:{}&0.050537562140&{}:{}&0.952015103123&,\\C^{\prime\prime}_{\mathbf{3a}}&{}\approx{}&-0.024797637908&{}:{}&0.174460080124&{}:{}&0.850337557784&,\\[.5em] A^{\prime\prime}_{\mathbf{4a}}&{}\approx{}&1.498492421539&{}:{}&-0.009229498201&{}:{}&-0.489262923338&,\\B^{\prime\prime}_{\mathbf{4a}}&{}\approx{}&1.835482127752&{}:{}&-0.629837892271&{}:{}&-0.205644235481&,\\C^{\prime\prime}_{\mathbf{4a}}&{}\approx{}&2.478065243490&{}:{}&-0.005237389824&{}:{}&-1.472827853667&,\\[.5em] A^{\prime\prime}_{\mathbf{5a}}&{}\approx{}&2.263256179980&{}:{}&-0.008207638122&{}:{}&-1.255048541858&,\\B^{\prime\prime}_{\mathbf{5a}}&{}\approx{}&1.457894466524&{}:{}&-0.294554497996&{}:{}&-0.163339968528&,\\C^{\prime\prime}_{\mathbf{5a}}&{}\approx{}&1.540068003795&{}:{}&-0.001128402279&{}:{}&-0.538939601516&,\\[.5em] A^{\prime\prime}_{\mathbf{6a}}&{}\approx{}&1.122622141240&{}:{}&-0.096305754298&{}:{}&-0.026316386942&,\\B^{\prime\prime}_{\mathbf{6a}}&{}\approx{}&1.025866493855&{}:{}&-0.025274022940&{}:{}&-0.000592470915&,\\C^{\prime\prime}_{\mathbf{6a}}&{}\approx{}&1.046885405069&{}:{}&-0.002212591852&{}:{}&-0.044672813216&,\\[.5em] A^{\prime\prime}_{\mathbf{7a}}&{}\approx{}&1.099292352121&{}:{}&-0.055525539462&{}:{}&-0.043766812659&,\\B^{\prime\prime}_{\mathbf{7a}}&{}\approx{}&1.015314419308&{}:{}&-0.014728042556&{}:{}&-0.000586376752&,\\C^{\prime\prime}_{\mathbf{7a}}&{}\approx{}&1.026544005831&{}:{}&-0.000752145095&{}:{}&-0.025791860736&,\\[.5em] A^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.475688682152&{}:{}&-0.568377067908&{}:{}&1.092688385756&,\\B^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.692001894452&{}:{}&-0.237457509424&{}:{}&0.545455614972&,\\C^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.844353659612&{}:{}&-0.346191773636&{}:{}&0.501838114024&,\\[.5em] A^{\prime\prime}_{\mathbf{1b}}&{}\approx{}&0.606437665690&{}:{}&-0.426639284713&{}:{}&0.820201619023&,\\B^{\prime\prime}_{\mathbf{1b}}&{}\approx{}&0.933517071534&{}:{}&-0.188608749598&{}:{}&0.255091678064&,\\C^{\prime\prime}_{\mathbf{1b}}&{}\approx{}&0.827947532633&{}:{}&-0.117683902854&{}:{}&0.289736370221&,\\[.5em] A^{\prime\prime}_{\mathbf{2b}}&{}\approx{}&-0.629837892271&{}:{}&1.835482127752&{}:{}&-0.205644235481&,\\B^{\prime\prime}_{\mathbf{2b}}&{}\approx{}&-0.009229498201&{}:{}&1.498492421539&{}:{}&-0.489262923338&,\\C^{\prime\prime}_{\mathbf{2b}}&{}\approx{}&-0.005237389824&{}:{}&2.478065243490&{}:{}&-1.472827853667&,\\[.5em] A^{\prime\prime}_{\mathbf{3b}}&{}\approx{}&-0.294554497996&{}:{}&1.457894466524&{}:{}&-0.163339968528&,\\B^{\prime\prime}_{\mathbf{3b}}&{}\approx{}&-0.008207638122&{}:{}&2.263256179980&{}:{}&-1.255048541858&,\\C^{\prime\prime}_{\mathbf{3b}}&{}\approx{}&-0.001128402279&{}:{}&1.540068003795&{}:{}&-0.538939601516&,\\[.5em] A^{\prime\prime}_{\mathbf{4b}}&{}\approx{}&0.030387546170&{}:{}&-0.002606839334&{}:{}&0.972219293164&,\\B^{\prime\prime}_{\mathbf{4b}}&{}\approx{}&0.006705430221&{}:{}&-0.032047958349&{}:{}&1.025342528128&,\\C^{\prime\prime}_{\mathbf{4b}}&{}\approx{}&0.112762936473&{}:{}&-0.046233708510&{}:{}&0.933470772037&,\\[.5em] A^{\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.050537562140&{}:{}&-0.002552665263&{}:{}&0.952015103123&,\\B^{\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.019532503527&{}:{}&-0.054965803114&{}:{}&1.035433299587&,\\C^{\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.174460080124&{}:{}&-0.024797637908&{}:{}&0.850337557784&,\\[.5em] A^{\prime\prime}_{\mathbf{6b}}&{}\approx{}&-0.025274022940&{}:{}&1.025866493855&{}:{}&-0.000592470915&,\\B^{\prime\prime}_{\mathbf{6b}}&{}\approx{}&-0.096305754298&{}:{}&1.122622141240&{}:{}&-0.026316386942&,\\C^{\prime\prime}_{\mathbf{6b}}&{}\approx{}&-0.002212591852&{}:{}&1.046885405069&{}:{}&-0.044672813216&,\\[.5em] A^{\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.014728042556&{}:{}&1.015314419308&{}:{}&-0.000586376752&,\\B^{\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.055525539462&{}:{}&1.099292352121&{}:{}&-0.043766812659&,\\C^{\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.000752145095&{}:{}&1.026544005831&{}:{}&-0.025791860736&,\\[.5em] A^{\prime\prime}_{\mathbf{c}}&{}\approx{}&1.492020203758&{}:{}&2.238030305637&{}:{}&-2.730050509394&,\\B^{\prime\prime}_{\mathbf{c}}&{}\approx{}&2.238030305637&{}:{}&1.492020203758&{}:{}&-2.730050509394&,\\C^{\prime\prime}_{\mathbf{c}}&{}\approx{}&1.183012701892&{}:{}&1.183012701892&{}:{}&-1.366025403784&,\\[.5em] A^{\prime\prime}_{\mathbf{1c}}&{}\approx{}&-2.481380475435&{}:{}&-1.240690237717&{}:{}&4.722070713152&,\\B^{\prime\prime}_{\mathbf{1c}}&{}\approx{}&-1.240690237717&{}:{}&-2.481380475435&{}:{}&4.722070713152&,\\C^{\prime\prime}_{\mathbf{1c}}&{}\approx{}&-0.683012701892&{}:{}&-0.683012701892&{}:{}&2.366025403784&,\\[.5em] A^{\prime\prime}_{\mathbf{2c}}&{}\approx{}&1.240947612094&{}:{}&1.095987631846&{}:{}&-1.336935243939&,\\B^{\prime\prime}_{\mathbf{2c}}&{}\approx{}&1.031312801540&{}:{}&0.404818262014&{}:{}&-0.436131063554&,\\C^{\prime\prime}_{\mathbf{2c}}&{}\approx{}&1.499705569692&{}:{}&0.519909672579&{}:{}&-1.019615242271&,\\[.5em] A^{\prime\prime}_{\mathbf{3c}}&{}\approx{}&-0.723142860312&{}:{}&-0.614091605346&{}:{}&2.337234465658&,\\B^{\prime\prime}_{\mathbf{3c}}&{}\approx{}&-0.151933798438&{}:{}&-0.516087624230&{}:{}&1.668021422668&,\\C^{\prime\prime}_{\mathbf{3c}}&{}\approx{}&-0.500283315696&{}:{}&-1.443092357278&{}:{}&2.943375672974&,\\[.5em] A^{\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.404818262014&{}:{}&1.031312801540&{}:{}&-0.436131063554&,\\B^{\prime\prime}_{\mathbf{4c}}&{}\approx{}&1.095987631846&{}:{}&1.240947612094&{}:{}&-1.336935243939&,\\C^{\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.519909672579&{}:{}&1.499705569692&{}:{}&-1.019615242271&,\\[.5em] A^{\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.516087624230&{}:{}&-0.151933798438&{}:{}&1.668021422668&,\\B^{\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.614091605346&{}:{}&-0.723142860312&{}:{}&2.337234465658&,\\C^{\prime\prime}_{\mathbf{5c}}&{}\approx{}&-1.443092357278&{}:{}&-0.500283315696&{}:{}&2.943375672974&,\\[.5em] A^{\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.536001570915&{}:{}&0.804002356372&{}:{}&-0.340003927286&,\\B^{\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.804002356372&{}:{}&0.536001570915&{}:{}&-0.340003927286&,\\C^{\prime\prime}_{\mathbf{6c}}&{}\approx{}&1.183012701892&{}:{}&1.183012701892&{}:{}&-1.366025403784&,\\[.5em] A^{\prime\prime}_{\mathbf{7c}}&{}\approx{}&-0.250670332134&{}:{}&-0.125335166067&{}:{}&1.376005498201&,\\B^{\prime\prime}_{\mathbf{7c}}&{}\approx{}&-0.125335166067&{}:{}&-0.250670332134&{}:{}&1.376005498201&,\\C^{\prime\prime}_{\mathbf{7c}}&{}\approx{}&-0.683012701892&{}:{}&-0.683012701892&{}:{}&2.366025403784&. \end{alignedat} \] \[ \begin{alignedat}{4} A^{\prime\prime\prime}&{}\approx{}&0.098102009685&{}:{}&0.196204019369&{}:{}&0.705693970946&,\\B^{\prime\prime\prime}&{}\approx{}&0.196204019369&{}:{}&0.098102009685&{}:{}&0.705693970946&,\\C^{\prime\prime\prime}&{}\approx{}&0.348915260374&{}:{}&0.348915260374&{}:{}&0.302169479252&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{1}}&{}\approx{}&0.038395800572&{}:{}&-0.000000000000&{}:{}&0.961604199428&,\\B^{\prime\prime\prime}_{\mathbf{1}}&{}\approx{}&-0.000000000000&{}:{}&0.038395800572&{}:{}&0.961604199428&,\\C^{\prime\prime\prime}_{\mathbf{1}}&{}\approx{}&-0.000000000000&{}:{}&-0.000000000000&{}:{}&1.000000000000&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{2}}&{}\approx{}&0.005830594706&{}:{}&1.003366295423&{}:{}&-0.009196890128&,\\B^{\prime\prime\prime}_{\mathbf{2}}&{}\approx{}&0.621497305589&{}:{}&-0.655585897522&{}:{}&1.034088591933&,\\C^{\prime\prime\prime}_{\mathbf{2}}&{}\approx{}&-0.005483890640&{}:{}&0.995464535619&{}:{}&0.010019355020&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&0.017721845633&{}:{}&1.004748554226&{}:{}&-0.022470399859&,\\B^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&0.785746369477&{}:{}&-0.799605434820&{}:{}&1.013859065343&,\\C^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&-0.017106274714&{}:{}&0.986954739918&{}:{}&0.030151534796&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{4}}&{}\approx{}&-0.655585897522&{}:{}&0.621497305589&{}:{}&1.034088591933&,\\B^{\prime\prime\prime}_{\mathbf{4}}&{}\approx{}&1.003366295423&{}:{}&0.005830594706&{}:{}&-0.009196890128&,\\C^{\prime\prime\prime}_{\mathbf{4}}&{}\approx{}&0.995464535619&{}:{}&-0.005483890640&{}:{}&0.010019355020&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&-0.799605434820&{}:{}&0.785746369477&{}:{}&1.013859065343&,\\B^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&1.004748554226&{}:{}&0.017721845633&{}:{}&-0.022470399859&,\\C^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.986954739918&{}:{}&-0.017106274714&{}:{}&0.030151534796&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&0.787010845008&{}:{}&1.574021690017&{}:{}&-1.361032535025&,\\B^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&1.574021690017&{}:{}&0.787010845008&{}:{}&-1.361032535025&,\\C^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&0.348915260374&{}:{}&0.348915260374&{}:{}&0.302169479252&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&-1.381202455099&{}:{}&0.000000000000&{}:{}&2.381202455099&,\\B^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&0.000000000000&{}:{}&-1.381202455099&{}:{}&2.381202455099&,\\C^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&-0.000000000000&{}:{}&-0.000000000000&{}:{}&1.000000000000&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.149465466250&{}:{}&0.721683111454&{}:{}&0.427782354796&,\\B^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.562090800218&{}:{}&0.404468620352&{}:{}&1.157622179866&,\\C^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.268760793356&{}:{}&0.933791576263&{}:{}&0.334969217093&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.112715286080&{}:{}&1.003051018534&{}:{}&0.109664267546&,\\B^{\prime\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.259936737135&{}:{}&0.638611452597&{}:{}&0.621325284538&,\\C^{\prime\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.039811660134&{}:{}&0.870401304223&{}:{}&0.169410355910&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{2a}}&{}\approx{}&-0.016481409929&{}:{}&-0.009584562210&{}:{}&1.026065972139&,\\B^{\prime\prime\prime}_{\mathbf{2a}}&{}\approx{}&0.012927129082&{}:{}&0.015604425176&{}:{}&0.971468445743&,\\C^{\prime\prime\prime}_{\mathbf{2a}}&{}\approx{}&0.418621611851&{}:{}&-0.293863234455&{}:{}&0.875241622604&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{3a}}&{}\approx{}&-0.028856523493&{}:{}&-0.008347766595&{}:{}&1.037204290087&,\\B^{\prime\prime\prime}_{\mathbf{3a}}&{}\approx{}&0.023755832895&{}:{}&0.026425333700&{}:{}&0.949818833405&,\\C^{\prime\prime\prime}_{\mathbf{3a}}&{}\approx{}&0.383892980988&{}:{}&-0.123534050018&{}:{}&0.739641069030&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{4a}}&{}\approx{}&0.326080694478&{}:{}&0.322063909155&{}:{}&0.351855396368&,\\B^{\prime\prime\prime}_{\mathbf{4a}}&{}\approx{}&0.983893142504&{}:{}&-0.203770941776&{}:{}&0.219877799271&,\\C^{\prime\prime\prime}_{\mathbf{4a}}&{}\approx{}&1.182262151250&{}:{}&0.241838298219&{}:{}&-0.424100449468&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{5a}}&{}\approx{}&0.382301963550&{}:{}&0.379529147818&{}:{}&0.238168888632&,\\B^{\prime\prime\prime}_{\mathbf{5a}}&{}\approx{}&1.044240225979&{}:{}&-0.117343817645&{}:{}&0.073103591666&,\\C^{\prime\prime\prime}_{\mathbf{5a}}&{}\approx{}&1.090604550783&{}:{}&0.121665012933&{}:{}&-0.212269563716&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{6a}}&{}\approx{}&0.284608852862&{}:{}&0.235777693654&{}:{}&0.479613453484&,\\B^{\prime\prime\prime}_{\mathbf{6a}}&{}\approx{}&0.991526993178&{}:{}&-0.012366337738&{}:{}&0.020839344560&,\\C^{\prime\prime\prime}_{\mathbf{6a}}&{}\approx{}&1.011398467292&{}:{}&0.010449924747&{}:{}&-0.021848392040&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{7a}}&{}\approx{}&0.281578854170&{}:{}&0.253133613468&{}:{}&0.465287532361&,\\B^{\prime\prime\prime}_{\mathbf{7a}}&{}\approx{}&0.995256047475&{}:{}&-0.007271277163&{}:{}&0.012015229688&,\\C^{\prime\prime\prime}_{\mathbf{7a}}&{}\approx{}&1.006123636603&{}:{}&0.006608106098&{}:{}&-0.012731742701&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.404468620352&{}:{}&-0.562090800218&{}:{}&1.157622179866&,\\B^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.721683111454&{}:{}&-0.149465466250&{}:{}&0.427782354796&,\\C^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.933791576263&{}:{}&-0.268760793356&{}:{}&0.334969217093&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{1b}}&{}\approx{}&0.638611452597&{}:{}&-0.259936737135&{}:{}&0.621325284538&,\\B^{\prime\prime\prime}_{\mathbf{1b}}&{}\approx{}&1.003051018534&{}:{}&-0.112715286080&{}:{}&0.109664267546&,\\C^{\prime\prime\prime}_{\mathbf{1b}}&{}\approx{}&0.870401304223&{}:{}&-0.039811660134&{}:{}&0.169410355910&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{2b}}&{}\approx{}&-0.203770941776&{}:{}&0.983893142504&{}:{}&0.219877799271&,\\B^{\prime\prime\prime}_{\mathbf{2b}}&{}\approx{}&0.322063909155&{}:{}&0.326080694478&{}:{}&0.351855396368&,\\C^{\prime\prime\prime}_{\mathbf{2b}}&{}\approx{}&0.241838298219&{}:{}&1.182262151250&{}:{}&-0.424100449468&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{3b}}&{}\approx{}&-0.117343817645&{}:{}&1.044240225979&{}:{}&0.073103591666&,\\B^{\prime\prime\prime}_{\mathbf{3b}}&{}\approx{}&0.379529147818&{}:{}&0.382301963550&{}:{}&0.238168888632&,\\C^{\prime\prime\prime}_{\mathbf{3b}}&{}\approx{}&0.121665012933&{}:{}&1.090604550783&{}:{}&-0.212269563716&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{4b}}&{}\approx{}&0.015604425176&{}:{}&0.012927129082&{}:{}&0.971468445743&,\\B^{\prime\prime\prime}_{\mathbf{4b}}&{}\approx{}&-0.009584562210&{}:{}&-0.016481409929&{}:{}&1.026065972139&,\\C^{\prime\prime\prime}_{\mathbf{4b}}&{}\approx{}&-0.293863234455&{}:{}&0.418621611851&{}:{}&0.875241622604&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.026425333700&{}:{}&0.023755832895&{}:{}&0.949818833405&,\\B^{\prime\prime\prime}_{\mathbf{5b}}&{}\approx{}&-0.008347766595&{}:{}&-0.028856523493&{}:{}&1.037204290087&,\\C^{\prime\prime\prime}_{\mathbf{5b}}&{}\approx{}&-0.123534050018&{}:{}&0.383892980988&{}:{}&0.739641069030&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{6b}}&{}\approx{}&-0.012366337738&{}:{}&0.991526993178&{}:{}&0.020839344560&,\\B^{\prime\prime\prime}_{\mathbf{6b}}&{}\approx{}&0.235777693654&{}:{}&0.284608852862&{}:{}&0.479613453484&,\\C^{\prime\prime\prime}_{\mathbf{6b}}&{}\approx{}&0.010449924747&{}:{}&1.011398467292&{}:{}&-0.021848392040&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.007271277163&{}:{}&0.995256047475&{}:{}&0.012015229688&,\\B^{\prime\prime\prime}_{\mathbf{7b}}&{}\approx{}&0.253133613468&{}:{}&0.281578854170&{}:{}&0.465287532361&,\\C^{\prime\prime\prime}_{\mathbf{7b}}&{}\approx{}&0.006608106098&{}:{}&1.006123636603&{}:{}&-0.012731742701&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{c}}&{}\approx{}&0.932387692461&{}:{}&1.864775384921&{}:{}&-1.797163077382&,\\B^{\prime\prime\prime}_{\mathbf{c}}&{}\approx{}&1.864775384921&{}:{}&0.932387692461&{}:{}&-1.797163077382&,\\C^{\prime\prime\prime}_{\mathbf{c}}&{}\approx{}&0.881853970395&{}:{}&0.881853970395&{}:{}&-0.763707940790&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{1c}}&{}\approx{}&-0.931140182336&{}:{}&-0.000000000000&{}:{}&1.931140182336&,\\B^{\prime\prime\prime}_{\mathbf{1c}}&{}\approx{}&0.000000000000&{}:{}&-0.931140182336&{}:{}&1.931140182336&,\\C^{\prime\prime\prime}_{\mathbf{1c}}&{}\approx{}&0.000000000000&{}:{}&0.000000000000&{}:{}&1.000000000000&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{2c}}&{}\approx{}&0.744201338357&{}:{}&0.570335156968&{}:{}&-0.314536495325&,\\B^{\prime\prime\prime}_{\mathbf{2c}}&{}\approx{}&0.876437581058&{}:{}&0.214016387513&{}:{}&-0.090453968572&,\\C^{\prime\prime\prime}_{\mathbf{2c}}&{}\approx{}&1.308571806995&{}:{}&0.244885625659&{}:{}&-0.553457432654&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{3c}}&{}\approx{}&-0.329635435207&{}:{}&-0.230216192169&{}:{}&1.559851627376&,\\B^{\prime\prime\prime}_{\mathbf{3c}}&{}\approx{}&0.099247762266&{}:{}&-0.241355834681&{}:{}&1.142108072415&,\\C^{\prime\prime\prime}_{\mathbf{3c}}&{}\approx{}&0.284600744942&{}:{}&-0.483364872796&{}:{}&1.198764127855&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.214016387513&{}:{}&0.876437581058&{}:{}&-0.090453968572&,\\B^{\prime\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.570335156968&{}:{}&0.744201338357&{}:{}&-0.314536495325&,\\C^{\prime\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.244885625659&{}:{}&1.308571806995&{}:{}&-0.553457432654&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.241355834681&{}:{}&0.099247762266&{}:{}&1.142108072415&,\\B^{\prime\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.230216192169&{}:{}&-0.329635435207&{}:{}&1.559851627376&,\\C^{\prime\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.483364872796&{}:{}&0.284600744942&{}:{}&1.198764127855&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.288735018666&{}:{}&0.577470037332&{}:{}&0.133794944001&,\\B^{\prime\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.577470037332&{}:{}&0.288735018666&{}:{}&0.133794944001&,\\C^{\prime\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.881853970395&{}:{}&0.881853970395&{}:{}&-0.763707940790&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{7c}}&{}\approx{}&-0.121262743976&{}:{}&-0.000000000000&{}:{}&1.121262743976&,\\B^{\prime\prime\prime}_{\mathbf{7c}}&{}\approx{}&0.000000000000&{}:{}&-0.121262743976&{}:{}&1.121262743976&,\\C^{\prime\prime\prime}_{\mathbf{7c}}&{}\approx{}&0.000000000000&{}:{}&0.000000000000&{}:{}&1.000000000000&. \end{alignedat} \] \[ \begin{alignedat}{4} A^*&{}\approx{}&0.000000000000&{}:{}&0.185686860132&{}:{}&0.814313139868&,\\B^*&{}\approx{}&0.185686860132&{}:{}&0.000000000000&{}:{}&0.814313139868&,\\C^*&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{1}}&{}\approx{}&0.000000000000&{}:{}&-0.082262332300&{}:{}&1.082262332300&,\\B^*_{\mathbf{1}}&{}\approx{}&-0.082262332300&{}:{}&0.000000000000&{}:{}&1.082262332300&,\\C^*_{\mathbf{1}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{2}}&{}\approx{}&0.000000000000&{}:{}&1.082262332300&{}:{}&-0.082262332300&,\\B^*_{\mathbf{2}}&{}\approx{}&0.185686860132&{}:{}&0.000000000000&{}:{}&0.814313139868&,\\C^*_{\mathbf{2}}&{}\approx{}&-0.017638090205&{}:{}&1.017638090205&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{3}}&{}\approx{}&0.000000000000&{}:{}&0.814313139868&{}:{}&0.185686860132&,\\B^*_{\mathbf{3}}&{}\approx{}&-0.082262332300&{}:{}&0.000000000000&{}:{}&1.082262332300&,\\C^*_{\mathbf{3}}&{}\approx{}&-0.017638090205&{}:{}&1.017638090205&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{4}}&{}\approx{}&0.000000000000&{}:{}&0.185686860132&{}:{}&0.814313139868&,\\B^*_{\mathbf{4}}&{}\approx{}&1.082262332300&{}:{}&0.000000000000&{}:{}&-0.082262332300&,\\C^*_{\mathbf{4}}&{}\approx{}&1.017638090205&{}:{}&-0.017638090205&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{5}}&{}\approx{}&0.000000000000&{}:{}&-0.082262332300&{}:{}&1.082262332300&,\\B^*_{\mathbf{5}}&{}\approx{}&0.814313139868&{}:{}&0.000000000000&{}:{}&0.185686860132&,\\C^*_{\mathbf{5}}&{}\approx{}&1.017638090205&{}:{}&-0.017638090205&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{6}}&{}\approx{}&0.000000000000&{}:{}&1.082262332300&{}:{}&-0.082262332300&,\\B^*_{\mathbf{6}}&{}\approx{}&1.082262332300&{}:{}&0.000000000000&{}:{}&-0.082262332300&,\\C^*_{\mathbf{6}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{7}}&{}\approx{}&0.000000000000&{}:{}&0.814313139868&{}:{}&0.185686860132&,\\B^*_{\mathbf{7}}&{}\approx{}&0.814313139868&{}:{}&0.000000000000&{}:{}&0.185686860132&,\\C^*_{\mathbf{7}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{a}}&{}\approx{}&0.000000000000&{}:{}&0.741180954897&{}:{}&0.258819045103&,\\B^*_{\mathbf{a}}&{}\approx{}&-0.965925826289&{}:{}&0.000000000000&{}:{}&1.965925826289&,\\C^*_{\mathbf{a}}&{}\approx{}&-0.207106781187&{}:{}&1.207106781187&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{1a}}&{}\approx{}&0.000000000000&{}:{}&1.258819045103&{}:{}&-0.258819045103&,\\B^*_{\mathbf{1a}}&{}\approx{}&-0.965925826289&{}:{}&0.000000000000&{}:{}&1.965925826289&,\\C^*_{\mathbf{1a}}&{}\approx{}&0.091751709536&{}:{}&0.908248290464&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{2a}}&{}\approx{}&0.000000000000&{}:{}&-0.258819045103&{}:{}&1.258819045103&,\\B^*_{\mathbf{2a}}&{}\approx{}&0.034074173711&{}:{}&0.000000000000&{}:{}&0.965925826289&,\\C^*_{\mathbf{2a}}&{}\approx{}&-0.207106781187&{}:{}&1.207106781187&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{3a}}&{}\approx{}&0.000000000000&{}:{}&0.258819045103&{}:{}&0.741180954897&,\\B^*_{\mathbf{3a}}&{}\approx{}&0.034074173711&{}:{}&0.000000000000&{}:{}&0.965925826289&,\\C^*_{\mathbf{3a}}&{}\approx{}&0.091751709536&{}:{}&0.908248290464&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{4a}}&{}\approx{}&0.000000000000&{}:{}&0.258819045103&{}:{}&0.741180954897&,\\B^*_{\mathbf{4a}}&{}\approx{}&1.965925826289&{}:{}&0.000000000000&{}:{}&-0.965925826289&,\\C^*_{\mathbf{4a}}&{}\approx{}&1.207106781187&{}:{}&-0.207106781187&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{5a}}&{}\approx{}&0.000000000000&{}:{}&-0.258819045103&{}:{}&1.258819045103&,\\B^*_{\mathbf{5a}}&{}\approx{}&1.965925826289&{}:{}&0.000000000000&{}:{}&-0.965925826289&,\\C^*_{\mathbf{5a}}&{}\approx{}&0.908248290464&{}:{}&0.091751709536&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{6a}}&{}\approx{}&0.000000000000&{}:{}&1.258819045103&{}:{}&-0.258819045103&,\\B^*_{\mathbf{6a}}&{}\approx{}&0.965925826289&{}:{}&0.000000000000&{}:{}&0.034074173711&,\\C^*_{\mathbf{6a}}&{}\approx{}&1.207106781187&{}:{}&-0.207106781187&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{7a}}&{}\approx{}&0.000000000000&{}:{}&0.741180954897&{}:{}&0.258819045103&,\\B^*_{\mathbf{7a}}&{}\approx{}&0.965925826289&{}:{}&0.000000000000&{}:{}&0.034074173711&,\\C^*_{\mathbf{7a}}&{}\approx{}&0.908248290464&{}:{}&0.091751709536&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{b}}&{}\approx{}&0.000000000000&{}:{}&-0.965925826289&{}:{}&1.965925826289&,\\B^*_{\mathbf{b}}&{}\approx{}&0.741180954897&{}:{}&0.000000000000&{}:{}&0.258819045103&,\\C^*_{\mathbf{b}}&{}\approx{}&1.207106781187&{}:{}&-0.207106781187&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{1b}}&{}\approx{}&0.000000000000&{}:{}&-0.965925826289&{}:{}&1.965925826289&,\\B^*_{\mathbf{1b}}&{}\approx{}&1.258819045103&{}:{}&0.000000000000&{}:{}&-0.258819045103&,\\C^*_{\mathbf{1b}}&{}\approx{}&0.908248290464&{}:{}&0.091751709536&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{2b}}&{}\approx{}&0.000000000000&{}:{}&1.965925826289&{}:{}&-0.965925826289&,\\B^*_{\mathbf{2b}}&{}\approx{}&0.258819045103&{}:{}&0.000000000000&{}:{}&0.741180954897&,\\C^*_{\mathbf{2b}}&{}\approx{}&-0.207106781187&{}:{}&1.207106781187&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{3b}}&{}\approx{}&0.000000000000&{}:{}&1.965925826289&{}:{}&-0.965925826289&,\\B^*_{\mathbf{3b}}&{}\approx{}&-0.258819045103&{}:{}&0.000000000000&{}:{}&1.258819045103&,\\C^*_{\mathbf{3b}}&{}\approx{}&0.091751709536&{}:{}&0.908248290464&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{4b}}&{}\approx{}&0.000000000000&{}:{}&0.034074173711&{}:{}&0.965925826289&,\\B^*_{\mathbf{4b}}&{}\approx{}&-0.258819045103&{}:{}&0.000000000000&{}:{}&1.258819045103&,\\C^*_{\mathbf{4b}}&{}\approx{}&1.207106781187&{}:{}&-0.207106781187&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{5b}}&{}\approx{}&0.000000000000&{}:{}&0.034074173711&{}:{}&0.965925826289&,\\B^*_{\mathbf{5b}}&{}\approx{}&0.258819045103&{}:{}&0.000000000000&{}:{}&0.741180954897&,\\C^*_{\mathbf{5b}}&{}\approx{}&0.908248290464&{}:{}&0.091751709536&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{6b}}&{}\approx{}&0.000000000000&{}:{}&0.965925826289&{}:{}&0.034074173711&,\\B^*_{\mathbf{6b}}&{}\approx{}&1.258819045103&{}:{}&0.000000000000&{}:{}&-0.258819045103&,\\C^*_{\mathbf{6b}}&{}\approx{}&-0.207106781187&{}:{}&1.207106781187&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{7b}}&{}\approx{}&0.000000000000&{}:{}&0.965925826289&{}:{}&0.034074173711&,\\B^*_{\mathbf{7b}}&{}\approx{}&0.741180954897&{}:{}&0.000000000000&{}:{}&0.258819045103&,\\C^*_{\mathbf{7b}}&{}\approx{}&0.091751709536&{}:{}&0.908248290464&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{c}}&{}\approx{}&0.000000000000&{}:{}&4.039058011260&{}:{}&-3.039058011260&,\\B^*_{\mathbf{c}}&{}\approx{}&4.039058011260&{}:{}&0.000000000000&{}:{}&-3.039058011260&,\\C^*_{\mathbf{c}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{1c}}&{}\approx{}&0.000000000000&{}:{}&-3.039058011260&{}:{}&4.039058011260&,\\B^*_{\mathbf{1c}}&{}\approx{}&-3.039058011260&{}:{}&0.000000000000&{}:{}&4.039058011260&,\\C^*_{\mathbf{1c}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{2c}}&{}\approx{}&0.000000000000&{}:{}&4.039058011260&{}:{}&-3.039058011260&,\\B^*_{\mathbf{2c}}&{}\approx{}&0.692992796309&{}:{}&0.000000000000&{}:{}&0.307007203691&,\\C^*_{\mathbf{2c}}&{}\approx{}&2.431851652578&{}:{}&-1.431851652578&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{3c}}&{}\approx{}&0.000000000000&{}:{}&-3.039058011260&{}:{}&4.039058011260&,\\B^*_{\mathbf{3c}}&{}\approx{}&0.307007203691&{}:{}&0.000000000000&{}:{}&0.692992796309&,\\C^*_{\mathbf{3c}}&{}\approx{}&-1.431851652578&{}:{}&2.431851652578&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{4c}}&{}\approx{}&0.000000000000&{}:{}&0.692992796309&{}:{}&0.307007203691&,\\B^*_{\mathbf{4c}}&{}\approx{}&4.039058011260&{}:{}&0.000000000000&{}:{}&-3.039058011260&,\\C^*_{\mathbf{4c}}&{}\approx{}&-1.431851652578&{}:{}&2.431851652578&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{5c}}&{}\approx{}&0.000000000000&{}:{}&0.307007203691&{}:{}&0.692992796309&,\\B^*_{\mathbf{5c}}&{}\approx{}&-3.039058011260&{}:{}&0.000000000000&{}:{}&4.039058011260&,\\C^*_{\mathbf{5c}}&{}\approx{}&2.431851652578&{}:{}&-1.431851652578&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{6c}}&{}\approx{}&0.000000000000&{}:{}&0.692992796309&{}:{}&0.307007203691&,\\B^*_{\mathbf{6c}}&{}\approx{}&0.692992796309&{}:{}&0.000000000000&{}:{}&0.307007203691&,\\C^*_{\mathbf{6c}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{7c}}&{}\approx{}&0.000000000000&{}:{}&0.307007203691&{}:{}&0.692992796309&,\\B^*_{\mathbf{7c}}&{}\approx{}&0.307007203691&{}:{}&0.000000000000&{}:{}&0.692992796309&,\\C^*_{\mathbf{7c}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&. \end{alignedat} \]