Derousseau's Generalization of the Malfatti circles

\[ \begin{alignedat}{4} I&{}\approx{}&0.211324865405&{}:{}&0.366025403784&{}:{}&0.422649730810&,\\ I_{\mathbf{a}}&{}\approx{}&-0.366025403784&{}:{}&0.633974596216&{}:{}&0.732050807569&,\\ I_{\mathbf{b}}&{}\approx{}&0.788675134595&{}:{}&-1.366025403784&{}:{}&1.577350269190&,\\ I_{\mathbf{c}}&{}\approx{}&1.366025403784&{}:{}&2.366025403784&{}:{}&-2.732050807569&. \end{alignedat} \] \[ \begin{alignedat}{4} P&{}\approx{}&0.179375592383&{}:{}&0.344844360463&{}:{}&0.475780047154&,\\ P_{\mathbf{1}}&{}\approx{}&0.010749591380&{}:{}&0.020665776851&{}:{}&0.968584631769&,\\ P_{\mathbf{2}}&{}\approx{}&0.002655324025&{}:{}&0.990301631974&{}:{}&0.007043044001&,\\ P_{\mathbf{3}}&{}\approx{}&0.002154922694&{}:{}&0.803677231266&{}:{}&0.194167846040&,\\ P_{\mathbf{4}}&{}\approx{}&0.998627535788&{}:{}&0.000576739540&{}:{}&0.000795724672&,\\ P_{\mathbf{5}}&{}\approx{}&0.973097836996&{}:{}&0.000561995317&{}:{}&0.026340167687&,\\ P_{\mathbf{6}}&{}\approx{}&0.898605744758&{}:{}&0.100678229761&{}:{}&0.000716025481&,\\ P_{\mathbf{7}}&{}\approx{}&0.877880939556&{}:{}&0.098356258516&{}:{}&0.023762801928&,\\ P_{\mathbf{a}}&{}\approx{}&-0.216094851447&{}:{}&0.642919776480&{}:{}&0.573175074967&,\\ P_{\mathbf{1a}}&{}\approx{}&-0.035175362399&{}:{}&0.941875402474&{}:{}&0.093299959924&,\\ P_{\mathbf{2a}}&{}\approx{}&-0.010860181204&{}:{}&0.032310928399&{}:{}&0.978549252805&,\\ P_{\mathbf{3a}}&{}\approx{}&-0.008629550816&{}:{}&0.231069734436&{}:{}&0.777559816380&,\\ P_{\mathbf{4a}}&{}\approx{}&1.036390092568&{}:{}&-0.008336706989&{}:{}&-0.028053385579&,\\ P_{\mathbf{5a}}&{}\approx{}&1.028766514796&{}:{}&-0.000919487004&{}:{}&-0.027847027791&,\\ P_{\mathbf{6a}}&{}\approx{}&1.008919660857&{}:{}&-0.008115735232&{}:{}&-0.000803925625&,\\ P_{\mathbf{7a}}&{}\approx{}&1.001693457405&{}:{}&-0.000895289751&{}:{}&-0.000798167654&,\\ P_{\mathbf{b}}&{}\approx{}&0.769653227915&{}:{}&-0.606662609039&{}:{}&0.837009381123&,\\ P_{\mathbf{1b}}&{}\approx{}&0.905998181659&{}:{}&-0.247571901500&{}:{}&0.341573719841&,\\ P_{\mathbf{2b}}&{}\approx{}&-0.025507981647&{}:{}&1.352198071612&{}:{}&-0.326690089965&,\\ P_{\mathbf{3b}}&{}\approx{}&-0.008698014147&{}:{}&1.330033050915&{}:{}&-0.321335036768&,\\ P_{\mathbf{4b}}&{}\approx{}&0.026914085426&{}:{}&-0.021214449173&{}:{}&0.994300363747&,\\ P_{\mathbf{5b}}&{}\approx{}&0.073887393036&{}:{}&-0.020190374287&{}:{}&0.946302981250&,\\ P_{\mathbf{6b}}&{}\approx{}&-0.019367170355&{}:{}&1.026668858764&{}:{}&-0.007301688408&,\\ P_{\mathbf{7b}}&{}\approx{}&-0.006630211516&{}:{}&1.013840665571&{}:{}&-0.007210454055&,\\ P_{\mathbf{c}}&{}\approx{}&0.883134575237&{}:{}&1.077287466089&{}:{}&-0.960422041326&,\\ P_{\mathbf{1c}}&{}\approx{}&-0.124978685815&{}:{}&-0.475669247743&{}:{}&1.600647933559&,\\ P_{\mathbf{2c}}&{}\approx{}&0.956136725788&{}:{}&0.404339911711&{}:{}&-0.360476637498&,\\ P_{\mathbf{3c}}&{}\approx{}&-0.040056258777&{}:{}&-0.439761912346&{}:{}&1.479818171123&,\\ P_{\mathbf{4c}}&{}\approx{}&0.091818159149&{}:{}&1.008035460348&{}:{}&-0.099853619498&,\\ P_{\mathbf{5c}}&{}\approx{}&-0.087838897224&{}:{}&-0.037146122506&{}:{}&1.124985019730&,\\ P_{\mathbf{6c}}&{}\approx{}&0.225785148785&{}:{}&0.859338943864&{}:{}&-0.085124092649&,\\ P_{\mathbf{7c}}&{}\approx{}&-0.028798816464&{}:{}&-0.035130097818&{}:{}&1.063928914282&. \end{alignedat} \] \[ \begin{alignedat}{4} P^-&{}\approx{}&0.168037754561&{}:{}&0.337327844081&{}:{}&0.494634401359&,\\ P^-_{\mathbf{1}}&{}\approx{}&-0.009447883861&{}:{}&-0.014111154395&{}:{}&1.023559038256&,\\ P^-_{\mathbf{2}}&{}\approx{}&-0.009256832381&{}:{}&1.025939205248&{}:{}&-0.016682372866&,\\ P^-_{\mathbf{3}}&{}\approx{}&-0.069605532935&{}:{}&0.953823538808&{}:{}&0.115781994127&,\\ P^-_{\mathbf{4}}&{}\approx{}&1.019041582560&{}:{}&-0.008899014074&{}:{}&-0.010142568485&,\\ P^-_{\mathbf{5}}&{}\approx{}&1.100769080968&{}:{}&-0.060688757499&{}:{}&-0.040080323469&,\\ P^-_{\mathbf{6}}&{}\approx{}&1.217239636808&{}:{}&-0.022340764865&{}:{}&-0.194898871943&,\\ P^-_{\mathbf{7}}&{}\approx{}&-0.618101828707&{}:{}&0.699098558295&{}:{}&0.919003270411&,\\ P^-_{\mathbf{a}}&{}\approx{}&-0.172158753520&{}:{}&0.645541098885&{}:{}&0.526617654634&,\\ P^-_{\mathbf{1a}}&{}\approx{}&0.005996690905&{}:{}&0.980191578450&{}:{}&0.013811730645&,\\ P^-_{\mathbf{2a}}&{}\approx{}&0.014393487276&{}:{}&-0.010469765874&{}:{}&0.996076278598&,\\ P^-_{\mathbf{3a}}&{}\approx{}&0.058559649996&{}:{}&0.155324995258&{}:{}&0.786115354746&,\\ P^-_{\mathbf{4a}}&{}\approx{}&0.688895567474&{}:{}&0.150817025874&{}:{}&0.160287406652&,\\ P^-_{\mathbf{5a}}&{}\approx{}&0.891684398963&{}:{}&0.061478798430&{}:{}&0.046836802607&,\\ P^-_{\mathbf{6a}}&{}\approx{}&0.937217010609&{}:{}&0.025368932372&{}:{}&0.037414057019&,\\ P^-_{\mathbf{7a}}&{}\approx{}&0.977235102325&{}:{}&0.010457827868&{}:{}&0.012307069807&,\\ P^-_{\mathbf{b}}&{}\approx{}&0.765109255820&{}:{}&-0.425265265030&{}:{}&0.660156009210&,\\ P^-_{\mathbf{1b}}&{}\approx{}&0.924096219046&{}:{}&-0.075041321982&{}:{}&0.150945102935&,\\ P^-_{\mathbf{2b}}&{}\approx{}&0.164995189195&{}:{}&0.716186121978&{}:{}&0.118818688827&,\\ P^-_{\mathbf{3b}}&{}\approx{}&0.111154236119&{}:{}&0.924791573757&{}:{}&-0.035945809875&,\\ P^-_{\mathbf{4b}}&{}\approx{}&-0.004247439381&{}:{}&0.033798024842&{}:{}&0.970449414539&,\\ P^-_{\mathbf{5b}}&{}\approx{}&0.025400970204&{}:{}&0.071102078716&{}:{}&0.903496951080&,\\ P^-_{\mathbf{6b}}&{}\approx{}&0.011554817056&{}:{}&0.935105754440&{}:{}&0.053339428504&,\\ P^-_{\mathbf{7b}}&{}\approx{}&0.011353533503&{}:{}&0.960026234699&{}:{}&0.028620231798&,\\ P^-_{\mathbf{c}}&{}\approx{}&0.791900803210&{}:{}&0.833802984173&{}:{}&-0.625703787382&,\\ P^-_{\mathbf{1c}}&{}\approx{}&0.155324995258&{}:{}&0.058559649996&{}:{}&0.786115354746&,\\ P^-_{\mathbf{2c}}&{}\approx{}&0.909935441570&{}:{}&0.183225268078&{}:{}&-0.093160709648&,\\ P^-_{\mathbf{3c}}&{}\approx{}&0.117315613893&{}:{}&-0.125731784503&{}:{}&1.008416170609&,\\ P^-_{\mathbf{4c}}&{}\approx{}&0.025368932372&{}:{}&0.937217010609&{}:{}&0.037414057019&,\\ P^-_{\mathbf{5c}}&{}\approx{}&-0.013038129853&{}:{}&0.086496141884&{}:{}&0.926541987969&,\\ P^-_{\mathbf{6c}}&{}\approx{}&0.137632042349&{}:{}&0.742855517425&{}:{}&0.119512440226&,\\ P^-_{\mathbf{7c}}&{}\approx{}&0.012093838750&{}:{}&0.035265599803&{}:{}&0.952640561447&. \end{alignedat} \] \[ \begin{alignedat}{4} P^+&{}\approx{}&0.186006915339&{}:{}&0.349240652633&{}:{}&0.464752432029&,\\ P^+_{\mathbf{1}}&{}\approx{}&0.027561270663&{}:{}&0.049612890664&{}:{}&0.922825838673&,\\ P^+_{\mathbf{2}}&{}\approx{}&0.013346807561&{}:{}&0.958315943161&{}:{}&0.028337249278&,\\ P^+_{\mathbf{3}}&{}\approx{}&0.044713810241&{}:{}&0.714630140326&{}:{}&0.240656049433&,\\ P^+_{\mathbf{4}}&{}\approx{}&0.979219932258&{}:{}&0.009585324234&{}:{}&0.011194743507&,\\ P^+_{\mathbf{5}}&{}\approx{}&0.877477913028&{}:{}&0.046436008487&{}:{}&0.076086078486&,\\ P^+_{\mathbf{6}}&{}\approx{}&0.733273214847&{}:{}&0.164510239212&{}:{}&0.102216545942&,\\ P^+_{\mathbf{7}}&{}\approx{}&0.449071984770&{}:{}&0.270553213674&{}:{}&0.280374801556&,\\ P^+_{\mathbf{a}}&{}\approx{}&-0.243795807301&{}:{}&0.641267077682&{}:{}&0.602528729619&,\\ P^+_{\mathbf{1a}}&{}\approx{}&-0.068142372231&{}:{}&0.911195131543&{}:{}&0.156947240687&,\\ P^+_{\mathbf{2a}}&{}\approx{}&-0.032969699277&{}:{}&0.069765309886&{}:{}&0.963204389391&,\\ P^+_{\mathbf{3a}}&{}\approx{}&-0.057459154054&{}:{}&0.286117056278&{}:{}&0.771342097776&,\\ P^+_{\mathbf{4a}}&{}\approx{}&1.725269776856&{}:{}&-0.323846061326&{}:{}&-0.401423715530&,\\ P^+_{\mathbf{5a}}&{}\approx{}&1.199386096640&{}:{}&-0.078583661532&{}:{}&-0.120802435108&,\\ P^+_{\mathbf{6a}}&{}\approx{}&1.088971647769&{}:{}&-0.045499488322&{}:{}&-0.043472159447&,\\ P^+_{\mathbf{7a}}&{}\approx{}&1.027059016242&{}:{}&-0.012669514632&{}:{}&-0.014389501610&,\\ P^+_{\mathbf{b}}&{}\approx{}&0.772728129079&{}:{}&-0.729414001978&{}:{}&0.956685872899&,\\ P^+_{\mathbf{1b}}&{}\approx{}&0.892167221276&{}:{}&-0.379423966951&{}:{}&0.487256745675&,\\ P^+_{\mathbf{2b}}&{}\approx{}&-0.383570727389&{}:{}&2.547622714698&{}:{}&-1.164051987309&,\\ P^+_{\mathbf{3b}}&{}\approx{}&-0.180066740870&{}:{}&1.909460769648&{}:{}&-0.729394028778&,\\ P^+_{\mathbf{4b}}&{}\approx{}&0.055718956027&{}:{}&-0.072066492046&{}:{}&1.016347536019&,\\ P^+_{\mathbf{5b}}&{}\approx{}&0.116581632223&{}:{}&-0.100577039186&{}:{}&0.983995406963&,\\ P^+_{\mathbf{6b}}&{}\approx{}&-0.052851933015&{}:{}&1.125820597489&{}:{}&-0.072968664474&,\\ P^+_{\mathbf{7b}}&{}\approx{}&-0.025465791018&{}:{}&1.070204119900&{}:{}&-0.044738328882&,\\ P^+_{\mathbf{c}}&{}\approx{}&0.949348443703&{}:{}&1.253998886660&{}:{}&-1.203347330362&,\\ P^+_{\mathbf{1c}}&{}\approx{}&-0.574178390070&{}:{}&-1.331795938442&{}:{}&2.905974328512&,\\ P^+_{\mathbf{2c}}&{}\approx{}&0.993838723272&{}:{}&0.584777834148&{}:{}&-0.578616557420&,\\ P^+_{\mathbf{3c}}&{}\approx{}&-0.242814452066&{}:{}&-0.844358872907&{}:{}&2.087173324972&,\\ P^+_{\mathbf{4c}}&{}\approx{}&0.151991383001&{}:{}&1.072165242374&{}:{}&-0.224156625375&,\\ P^+_{\mathbf{5c}}&{}\approx{}&-0.171219461465&{}:{}&-0.174970400666&{}:{}&1.346189862131&,\\ P^+_{\mathbf{6c}}&{}\approx{}&0.302133172204&{}:{}&0.960223413275&{}:{}&-0.262356585479&,\\ P^+_{\mathbf{7c}}&{}\approx{}&-0.072238554233&{}:{}&-0.109910535252&{}:{}&1.182149089485&. \end{alignedat} \] \[ \begin{alignedat}{4} Q&{}\approx{}&0.161771971219&{}:{}&0.329250639680&{}:{}&0.508977389101&,\\ Q_{\mathbf{1}}&{}\approx{}&-0.065348814526&{}:{}&-0.133002885622&{}:{}&1.198351700147&,\\ Q_{\mathbf{2}}&{}\approx{}&-0.041319794053&{}:{}&1.171322789857&{}:{}&-0.130002995804&,\\ Q_{\mathbf{3}}&{}\approx{}&-0.021888776929&{}:{}&0.620497363217&{}:{}&0.401391413712&,\\ Q_{\mathbf{4}}&{}\approx{}&1.098669811316&{}:{}&-0.038756874475&{}:{}&-0.059912936841&,\\ Q_{\mathbf{5}}&{}\approx{}&0.779689971461&{}:{}&-0.027504484097&{}:{}&0.247814512636&,\\ Q_{\mathbf{6}}&{}\approx{}&0.695990335685&{}:{}&0.341963583313&{}:{}&-0.037953918998&,\\ Q_{\mathbf{7}}&{}\approx{}&0.552739331730&{}:{}&0.271579521762&{}:{}&0.175681146508&,\\ Q_{\mathbf{a}}&{}\approx{}&-0.153100084143&{}:{}&0.671406744368&{}:{}&0.481693339775&,\\ Q_{\mathbf{1a}}&{}\approx{}&0.090826788008&{}:{}&1.194938298938&{}:{}&-0.285765086946&,\\ Q_{\mathbf{2a}}&{}\approx{}&0.066879066048&{}:{}&-0.293292170627&{}:{}&1.226413104580&,\\ Q_{\mathbf{3a}}&{}\approx{}&0.030774907897&{}:{}&0.404881829452&{}:{}&0.564343262651&,\\ Q_{\mathbf{4a}}&{}\approx{}&2.201993535020&{}:{}&-0.502117975910&{}:{}&-0.699875559110&,\\ Q_{\mathbf{5a}}&{}\approx{}&1.318961298407&{}:{}&0.100253727199&{}:{}&-0.419215025605&,\\ Q_{\mathbf{6a}}&{}\approx{}&1.209916326228&{}:{}&-0.275895785834&{}:{}&0.065979459606&,\\ Q_{\mathbf{7a}}&{}\approx{}&0.884531603698&{}:{}&0.067232897738&{}:{}&0.048235498564&,\\ Q_{\mathbf{b}}&{}\approx{}&0.839901758402&{}:{}&-0.293292170627&{}:{}&0.453390412225&,\\ Q_{\mathbf{1b}}&{}\approx{}&1.126421175455&{}:{}&0.231597427882&{}:{}&-0.358018603337&,\\ Q_{\mathbf{2b}}&{}\approx{}&-89.189485181446&{}:{}&255.412223499293&{}:{}&-165.222738317847&,\\ Q_{\mathbf{3b}}&{}\approx{}&0.367993549751&{}:{}&1.789811444198&{}:{}&-1.157804993949&,\\ Q_{\mathbf{4b}}&{}\approx{}&-0.400727311069&{}:{}&0.139933250190&{}:{}&1.260794060880&,\\ Q_{\mathbf{5b}}&{}\approx{}&0.327000866942&{}:{}&0.067232897738&{}:{}&0.605766235320&,\\ Q_{\mathbf{6b}}&{}\approx{}&-0.458391662643&{}:{}&1.312697719368&{}:{}&0.145693943275&,\\ Q_{\mathbf{7b}}&{}\approx{}&0.156164184623&{}:{}&0.759536260897&{}:{}&0.084299554481&,\\ Q_{\mathbf{c}}&{}\approx{}&0.824671604353&{}:{}&0.620497363217&{}:{}&-0.445168967570&,\\ Q_{\mathbf{1c}}&{}\approx{}&2.098379994211&{}:{}&2.788850523710&{}:{}&-3.887230517921&,\\ Q_{\mathbf{2c}}&{}\approx{}&1.143091245162&{}:{}&-0.506408217532&{}:{}&0.363316972370&,\\ Q_{\mathbf{3c}}&{}\approx{}&0.529377314879&{}:{}&-1.194938298938&{}:{}&1.665560984059&,\\ Q_{\mathbf{4c}}&{}\approx{}&-0.556462532683&{}:{}&1.256076476151&{}:{}&0.300386056532&,\\ Q_{\mathbf{5c}}&{}\approx{}&-0.771898173680&{}:{}&0.341963583313&{}:{}&1.429934590367&,\\ Q_{\mathbf{6c}}&{}\approx{}&0.377802362094&{}:{}&0.502117975910&{}:{}&0.120079661996&,\\ Q_{\mathbf{7c}}&{}\approx{}&0.204136545810&{}:{}&0.153595913504&{}:{}&0.642267540686&. \end{alignedat} \] \[ \begin{alignedat}{4} I^\prime&{}\approx{}&0.195007645337&{}:{}&0.355845798025&{}:{}&0.449146556638&,\\ I^\prime_{\mathbf{1}}&{}\approx{}&0.061542400480&{}:{}&0.112301261693&{}:{}&0.826156337828&,\\ I^\prime_{\mathbf{2}}&{}\approx{}&0.034820015698&{}:{}&0.884981640663&{}:{}&0.080198343639&,\\ I^\prime_{\mathbf{3}}&{}\approx{}&0.025100357596&{}:{}&0.637947892917&{}:{}&0.336951749487&,\\ I^\prime_{\mathbf{4}}&{}\approx{}&0.933229191125&{}:{}&0.029515947116&{}:{}&0.037254861759&,\\ I^\prime_{\mathbf{5}}&{}\approx{}&0.790951032877&{}:{}&0.025016007943&{}:{}&0.184032959181&,\\ I^\prime_{\mathbf{6}}&{}\approx{}&0.675475670842&{}:{}&0.297559085274&{}:{}&0.026965243884&,\\ I^\prime_{\mathbf{7}}&{}\approx{}&0.597660450519&{}:{}&0.263280092293&{}:{}&0.139059457188&,\\ I^\prime_{\mathbf{a}}&{}\approx{}&-0.279854846231&{}:{}&0.635286063680&{}:{}&0.644568782551&,\\ I^\prime_{\mathbf{1a}}&{}\approx{}&-0.123253008728&{}:{}&0.839373551747&{}:{}&0.283879456981&,\\ I^\prime_{\mathbf{2a}}&{}\approx{}&-0.068053891494&{}:{}&0.154486118169&{}:{}&0.913567773324&,\\ I^\prime_{\mathbf{3a}}&{}\approx{}&-0.051990324626&{}:{}&0.354062784253&{}:{}&0.697927540373&,\\ I^\prime_{\mathbf{4a}}&{}\approx{}&1.540142455168&{}:{}&-0.181792871182&{}:{}&-0.358349583985&,\\ I^\prime_{\mathbf{5a}}&{}\approx{}&1.373661241130&{}:{}&-0.054047342660&{}:{}&-0.319613898470&,\\ I^\prime_{\mathbf{6a}}&{}\approx{}&1.187587493965&{}:{}&-0.140178552694&{}:{}&-0.047408941271&,\\ I^\prime_{\mathbf{7a}}&{}\approx{}&1.086089827246&{}:{}&-0.042732711162&{}:{}&-0.043357116083&,\\ I^\prime_{\mathbf{b}}&{}\approx{}&0.765486747582&{}:{}&-0.894425261855&{}:{}&1.128938514273&,\\ I^\prime_{\mathbf{1b}}&{}\approx{}&0.847184126031&{}:{}&-0.582834345953&{}:{}&0.735650219922&,\\ I^\prime_{\mathbf{2b}}&{}\approx{}&-0.284007169048&{}:{}&2.721395891160&{}:{}&-1.437388722112&,\\ I^\prime_{\mathbf{3b}}&{}\approx{}&-0.149733900418&{}:{}&2.436809690746&{}:{}&-1.287075790329&,\\ I^\prime_{\mathbf{4b}}&{}\approx{}&0.118661767585&{}:{}&-0.138649144325&{}:{}&1.019987376740&,\\ I^\prime_{\mathbf{5b}}&{}\approx{}&0.186111137025&{}:{}&-0.128038238075&{}:{}&0.941927101051&,\\ I^\prime_{\mathbf{6b}}&{}\approx{}&-0.129637951449&{}:{}&1.242208742807&{}:{}&-0.112570791359&,\\ I^\prime_{\mathbf{7b}}&{}\approx{}&-0.072466550216&{}:{}&1.179340091521&{}:{}&-0.106873541305&,\\ I^\prime_{\mathbf{c}}&{}\approx{}&1.021700112433&{}:{}&1.485101423462&{}:{}&-1.506801535895&,\\ I^\prime_{\mathbf{1c}}&{}\approx{}&-0.669534957192&{}:{}&-1.719048506222&{}:{}&3.388583463414&,\\ I^\prime_{\mathbf{2c}}&{}\approx{}&1.012663821604&{}:{}&0.866680278669&{}:{}&-0.879344100274&,\\ I^\prime_{\mathbf{3c}}&{}\approx{}&-0.309111650864&{}:{}&-1.347936093342&{}:{}&2.657047744207&,\\ I^\prime_{\mathbf{4c}}&{}\approx{}&0.257342043172&{}:{}&1.122185551259&{}:{}&-0.379527594431&,\\ I^\prime_{\mathbf{5c}}&{}\approx{}&-0.311987357086&{}:{}&-0.267011898531&{}:{}&1.578999255617&,\\ I^\prime_{\mathbf{6c}}&{}\approx{}&0.370483073989&{}:{}&0.951224977995&{}:{}&-0.321708051985&,\\ I^\prime_{\mathbf{7c}}&{}\approx{}&-0.162808244672&{}:{}&-0.236651394056&{}:{}&1.399459638728&. \end{alignedat} \]

\[ \begin{alignedat}{4} A^\prime&{}\approx{}&0.375155551113&{}:{}&0.289991317938&{}:{}&0.334853130949&,\\B^\prime&{}\approx{}&0.133366525832&{}:{}&0.599900422505&{}:{}&0.266733051664&,\\C^\prime&{}\approx{}&0.107206358682&{}:{}&0.185686860132&{}:{}&0.707106781187&,\\[.5em] A^\prime_{\mathbf{1}}&{}\approx{}&-0.135027805015&{}:{}&0.526768237534&{}:{}&0.608259567481&,\\B^\prime_{\mathbf{1}}&{}\approx{}&0.427921023828&{}:{}&-0.283763071485&{}:{}&0.855842047657&,\\C^\prime_{\mathbf{1}}&{}\approx{}&0.019672733364&{}:{}&0.034074173711&{}:{}&0.946253092925&,\\[.5em] A^\prime_{\mathbf{2}}&{}\approx{}&-0.258819045103&{}:{}&0.584219951998&{}:{}&0.674599093104&,\\B^\prime_{\mathbf{2}}&{}\approx{}&0.011358057904&{}:{}&0.965925826289&{}:{}&0.022716115807&,\\C^\prime_{\mathbf{2}}&{}\approx{}&0.741180954897&{}:{}&1.283763071485&{}:{}&-1.024944026382&,\\[.5em] A^\prime_{\mathbf{3}}&{}\approx{}&-0.346352670420&{}:{}&0.624844448887&{}:{}&0.721508221533&,\\B^\prime_{\mathbf{3}}&{}\approx{}&0.061895620044&{}:{}&0.814313139868&{}:{}&0.123791240088&,\\C^\prime_{\mathbf{3}}&{}\approx{}&0.230997598770&{}:{}&0.400099577495&{}:{}&0.368902823735&,\\[.5em] A^\prime_{\mathbf{4}}&{}\approx{}&0.980327266636&{}:{}&0.009130147329&{}:{}&0.010542586036&,\\B^\prime_{\mathbf{4}}&{}\approx{}&0.726779514551&{}:{}&-1.180338543653&{}:{}&1.453559029102&,\\C^\prime_{\mathbf{4}}&{}\approx{}&1.135027805015&{}:{}&1.965925826289&{}:{}&-2.100953631304&,\\[.5em] A^\prime_{\mathbf{5}}&{}\approx{}&0.892793641318&{}:{}&0.049754644217&{}:{}&0.057451714465&,\\B^\prime_{\mathbf{5}}&{}\approx{}&0.777317076691&{}:{}&-1.331951230074&{}:{}&1.554634153382&,\\C^\prime_{\mathbf{5}}&{}\approx{}&0.624844448887&{}:{}&1.082262332300&{}:{}&-0.707106781187&,\\[.5em] A^\prime_{\mathbf{6}}&{}\approx{}&0.769002401230&{}:{}&0.107206358682&{}:{}&0.123791240088&,\\B^\prime_{\mathbf{6}}&{}\approx{}&0.360754110767&{}:{}&-0.082262332300&{}:{}&0.721508221533&,\\C^\prime_{\mathbf{6}}&{}\approx{}&1.346352670420&{}:{}&2.331951230074&{}:{}&-2.678303900494&,\\[.5em] A^\prime_{\mathbf{7}}&{}\approx{}&0.258819045103&{}:{}&0.343983278277&{}:{}&0.397197676620&,\\B^\prime_{\mathbf{7}}&{}\approx{}&0.655308608763&{}:{}&-0.965925826289&{}:{}&1.310617217526&,\\C^\prime_{\mathbf{7}}&{}\approx{}&1.258819045103&{}:{}&2.180338543653&{}:{}&-2.439157588755&,\\[.5em] A^\prime_{\mathbf{a}}&{}\approx{}&-0.754600960884&{}:{}&0.814313139868&{}:{}&0.940287821015&,\\B^\prime_{\mathbf{a}}&{}\approx{}&-0.142482539092&{}:{}&0.857517460908&{}:{}&0.284965078184&,\\C^\prime_{\mathbf{a}}&{}\approx{}&-0.177250691694&{}:{}&0.307007203691&{}:{}&0.870243488003&,\\[.5em] A^\prime_{\mathbf{1a}}&{}\approx{}&0.034074173711&{}:{}&0.448287736084&{}:{}&0.517638090205&,\\B^\prime_{\mathbf{1a}}&{}\approx{}&-0.044406327739&{}:{}&0.955593672261&{}:{}&0.088812655477&,\\C^\prime_{\mathbf{1a}}&{}\approx{}&-0.965925826289&{}:{}&1.673032607476&{}:{}&0.292893218813&,\\[.5em] A^\prime_{\mathbf{2a}}&{}\approx{}&0.129062533106&{}:{}&0.404203485070&{}:{}&0.466733981825&,\\B^\prime_{\mathbf{2a}}&{}\approx{}&-1.673032607476&{}:{}&-0.673032607476&{}:{}&3.346065214951&,\\C^\prime_{\mathbf{2a}}&{}\approx{}&-0.025638005274&{}:{}&0.044406327739&{}:{}&0.981231677535&,\\[.5em] A^\prime_{\mathbf{3a}}&{}\approx{}&0.185686860132&{}:{}&0.377924043441&{}:{}&0.436389096428&,\\B^\prime_{\mathbf{3a}}&{}\approx{}&-0.307007203691&{}:{}&0.692992796309&{}:{}&0.614014407382&,\\C^\prime_{\mathbf{3a}}&{}\approx{}&-0.082262332300&{}:{}&0.142482539092&{}:{}&0.939779793208&,\\[.5em] A^\prime_{\mathbf{4a}}&{}\approx{}&1.965925826289&{}:{}&-0.448287736084&{}:{}&-0.517638090205&,\\B^\prime_{\mathbf{4a}}&{}\approx{}&1.508507942876&{}:{}&2.508507942876&{}:{}&-3.017015885753&,\\C^\prime_{\mathbf{4a}}&{}\approx{}&0.965925826289&{}:{}&-1.673032607476&{}:{}&1.707106781187&,\\[.5em] A^\prime_{\mathbf{5a}}&{}\approx{}&1.177250691694&{}:{}&-0.082262332300&{}:{}&-0.094988359395&,\\B^\prime_{\mathbf{5a}}&{}\approx{}&1.410431731523&{}:{}&2.410431731523&{}:{}&-2.820863463046&,\\C^\prime_{\mathbf{5a}}&{}\approx{}&1.754600960884&{}:{}&-3.039058011260&{}:{}&2.284457050376&,\\[.5em] A^\prime_{\mathbf{6a}}&{}\approx{}&1.082262332300&{}:{}&-0.038178081285&{}:{}&-0.044084251014&,\\B^\prime_{\mathbf{6a}}&{}\approx{}&3.039058011260&{}:{}&4.039058011260&{}:{}&-6.078116022520&,\\C^\prime_{\mathbf{6a}}&{}\approx{}&0.814313139868&{}:{}&-1.410431731523&{}:{}&1.596118591655&,\\[.5em] A^\prime_{\mathbf{7a}}&{}\approx{}&1.025638005274&{}:{}&-0.011898639656&{}:{}&-0.013739365617&,\\B^\prime_{\mathbf{7a}}&{}\approx{}&1.673032607476&{}:{}&2.673032607476&{}:{}&-3.346065214951&,\\C^\prime_{\mathbf{7a}}&{}\approx{}&0.870937466894&{}:{}&-1.508507942876&{}:{}&1.637570475982&,\\[.5em] A^\prime_{\mathbf{b}}&{}\approx{}&0.938104379956&{}:{}&-0.400099577495&{}:{}&0.461995197539&,\\B^\prime_{\mathbf{b}}&{}\approx{}&1.346352670420&{}:{}&-3.039058011260&{}:{}&2.692705340840&,\\C^\prime_{\mathbf{b}}&{}\approx{}&0.360754110767&{}:{}&-0.624844448887&{}:{}&1.264090338120&,\\[.5em] A^\prime_{\mathbf{1b}}&{}\approx{}&0.965925826289&{}:{}&-0.220258921319&{}:{}&0.254333095030&,\\B^\prime_{\mathbf{1b}}&{}\approx{}&0.419606348368&{}:{}&-0.258819045103&{}:{}&0.839212696735&,\\C^\prime_{\mathbf{1b}}&{}\approx{}&1.965925826289&{}:{}&-3.405083415044&{}:{}&2.439157588755&,\\[.5em] A^\prime_{\mathbf{2b}}&{}\approx{}&1.427921023828&{}:{}&2.766124981280&{}:{}&-3.194046005108&,\\B^\prime_{\mathbf{2b}}&{}\approx{}&-1.135027805015&{}:{}&4.405083415044&{}:{}&-2.270055610030&,\\C^\prime_{\mathbf{2b}}&{}\approx{}&-0.726779514551&{}:{}&1.258819045103&{}:{}&0.467960469448&,\\[.5em] A^\prime_{\mathbf{3b}}&{}\approx{}&1.400099577495&{}:{}&2.586284325104&{}:{}&-2.986383902599&,\\B^\prime_{\mathbf{3b}}&{}\approx{}&-0.208281482962&{}:{}&1.624844448887&{}:{}&-0.416562965925&,\\C^\prime_{\mathbf{3b}}&{}\approx{}&-2.331951230074&{}:{}&4.039058011260&{}:{}&-0.707106781187&,\\[.5em] A^\prime_{\mathbf{4b}}&{}\approx{}&-0.965925826289&{}:{}&-12.707944308956&{}:{}&14.673870135245&,\\B^\prime_{\mathbf{4b}}&{}\approx{}&0.247060318299&{}:{}&0.258819045103&{}:{}&0.494120636598&,\\C^\prime_{\mathbf{4b}}&{}\approx{}&0.034074173711&{}:{}&-0.059018200093&{}:{}&1.024944026382&,\\[.5em] A^\prime_{\mathbf{5b}}&{}\approx{}&0.639245889233&{}:{}&-2.331951230074&{}:{}&2.692705340840&,\\B^\prime_{\mathbf{5b}}&{}\approx{}&0.230997598770&{}:{}&0.307007203691&{}:{}&0.461995197539&,\\C^\prime_{\mathbf{5b}}&{}\approx{}&0.061895620044&{}:{}&-0.107206358682&{}:{}&1.045310738638&,\\[.5em] A^\prime_{\mathbf{6b}}&{}\approx{}&3.331951230074&{}:{}&15.073969712741&{}:{}&-17.405920942814&,\\B^\prime_{\mathbf{6b}}&{}\approx{}&-0.035735452894&{}:{}&1.107206358682&{}:{}&-0.071470905788&,\\C^\prime_{\mathbf{6b}}&{}\approx{}&-0.400099577495&{}:{}&0.692992796309&{}:{}&0.707106781187&,\\[.5em] A^\prime_{\mathbf{7b}}&{}\approx{}&1.726779514551&{}:{}&4.697976633858&{}:{}&-5.424756148409&,\\B^\prime_{\mathbf{7b}}&{}\approx{}&-0.019672733364&{}:{}&1.059018200093&{}:{}&-0.039345466729&,\\C^\prime_{\mathbf{7b}}&{}\approx{}&-0.427921023828&{}:{}&0.741180954897&{}:{}&0.686740068931&,\\[.5em] A^\prime_{\mathbf{c}}&{}\approx{}&1.095682338286&{}:{}&0.618500357455&{}:{}&-0.714182695741&,\\B^\prime_{\mathbf{c}}&{}\approx{}&0.448287736084&{}:{}&1.448287736084&{}:{}&-0.896575472168&,\\C^\prime_{\mathbf{c}}&{}\approx{}&3.250382876665&{}:{}&5.629828286436&{}:{}&-7.880211163101&,\\[.5em] A^\prime_{\mathbf{1c}}&{}\approx{}&0.692992796309&{}:{}&-1.984525761239&{}:{}&2.291532964930&,\\B^\prime_{\mathbf{1c}}&{}\approx{}&-0.814313139868&{}:{}&0.185686860132&{}:{}&1.628626279737&,\\C^\prime_{\mathbf{1c}}&{}\approx{}&-3.039058011260&{}:{}&-5.263802882652&{}:{}&9.302860893912&,\\[.5em] A^\prime_{\mathbf{2c}}&{}\approx{}&1.047494179697&{}:{}&0.307007203691&{}:{}&-0.354501383389&,\\B^\prime_{\mathbf{2c}}&{}\approx{}&5.263802882652&{}:{}&6.263802882652&{}:{}&-10.527605765303&,\\C^\prime_{\mathbf{2c}}&{}\approx{}&0.470143910508&{}:{}&0.814313139868&{}:{}&-0.284457050376&,\\[.5em] A^\prime_{\mathbf{3c}}&{}\approx{}&0.741180954897&{}:{}&-1.673032607476&{}:{}&1.931851652578&,\\B^\prime_{\mathbf{3c}}&{}\approx{}&-5.629828286436&{}:{}&-4.629828286436&{}:{}&11.259656572872&,\\C^\prime_{\mathbf{3c}}&{}\approx{}&-0.258819045103&{}:{}&-0.448287736084&{}:{}&1.707106781187&,\\[.5em] A^\prime_{\mathbf{4c}}&{}\approx{}&4.039058011260&{}:{}&19.644779799083&{}:{}&-22.683837810344&,\\B^\prime_{\mathbf{4c}}&{}\approx{}&0.082262332300&{}:{}&1.082262332300&{}:{}&-0.164524664599&,\\C^\prime_{\mathbf{4c}}&{}\approx{}&0.307007203691&{}:{}&0.531752075083&{}:{}&0.161240721226&,\\[.5em] A^\prime_{\mathbf{5c}}&{}\approx{}&-2.250382876665&{}:{}&-21.010805202868&{}:{}&24.261188079533&,\\B^\prime_{\mathbf{5c}}&{}\approx{}&-0.448287736084&{}:{}&0.551712263916&{}:{}&0.896575472168&,\\C^\prime_{\mathbf{5c}}&{}\approx{}&-0.095682338286&{}:{}&-0.165726671298&{}:{}&1.261409009584&,\\[.5em] A^\prime_{\mathbf{6c}}&{}\approx{}&1.258819045103&{}:{}&1.673032607476&{}:{}&-1.931851652578&,\\B^\prime_{\mathbf{6c}}&{}\approx{}&0.165726671298&{}:{}&1.165726671298&{}:{}&-0.331453342597&,\\C^\prime_{\mathbf{6c}}&{}\approx{}&0.258819045103&{}:{}&0.448287736084&{}:{}&0.292893218813&,\\[.5em] A^\prime_{\mathbf{7c}}&{}\approx{}&0.529856089492&{}:{}&-3.039058011260&{}:{}&3.509201921768&,\\B^\prime_{\mathbf{7c}}&{}\approx{}&-0.531752075083&{}:{}&0.468247924917&{}:{}&1.063504150166&,\\C^\prime_{\mathbf{7c}}&{}\approx{}&-0.047494179697&{}:{}&-0.082262332300&{}:{}&1.129756511997&. \end{alignedat} \] \[ \begin{alignedat}{4} A^{\prime\prime}&{}\approx{}&0.118864099197&{}:{}&0.370272616039&{}:{}&0.510863284764&,\\B^{\prime\prime}&{}\approx{}&0.211803640019&{}:{}&0.226403395303&{}:{}&0.561792964678&,\\C^{\prime\prime}&{}\approx{}&0.240571655265&{}:{}&0.462492011892&{}:{}&0.296936332843&,\\[.5em] A^{\prime\prime}_{\mathbf{1}}&{}\approx{}&0.037616146640&{}:{}&0.020104525391&{}:{}&0.942279327969&,\\B^{\prime\prime}_{\mathbf{1}}&{}\approx{}&0.010273848914&{}:{}&0.064007971121&{}:{}&0.925718179965&,\\C^{\prime\prime}_{\mathbf{1}}&{}\approx{}&0.098848728967&{}:{}&0.190033807112&{}:{}&0.711117463921&,\\[.5em] A^{\prime\prime}_{\mathbf{2}}&{}\approx{}&0.022373261876&{}:{}&0.970722938164&{}:{}&0.006903799959&,\\B^{\prime\prime}_{\mathbf{2}}&{}\approx{}&0.053935377531&{}:{}&0.803005156440&{}:{}&0.143059466029&,\\C^{\prime\prime}_{\mathbf{2}}&{}\approx{}&0.002556623083&{}:{}&0.953491170148&{}:{}&0.043952206768&,\\[.5em] A^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.097631072938&{}:{}&0.726779514551&{}:{}&0.175589412511&,\\B^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.005621780360&{}:{}&0.487831517751&{}:{}&0.506546701889&,\\C^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.002109042109&{}:{}&0.786566092485&{}:{}&0.211324865405&,\\[.5em] A^{\prime\prime}_{\mathbf{4}}&{}\approx{}&0.886144284064&{}:{}&0.047844667040&{}:{}&0.066011048897&,\\B^{\prime\prime}_{\mathbf{4}}&{}\approx{}&0.981042405207&{}:{}&0.018175882275&{}:{}&0.000781712519&,\\C^{\prime\prime}_{\mathbf{4}}&{}\approx{}&0.978501540222&{}:{}&0.000565116130&{}:{}&0.020933343648&,\\[.5em] A^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.692790739919&{}:{}&0.006417705730&{}:{}&0.300791554352&,\\B^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.881016683009&{}:{}&0.095135635614&{}:{}&0.023847681377&,\\C^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.888678273303&{}:{}&0.000513240303&{}:{}&0.110808486394&,\\[.5em] A^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.569035593729&{}:{}&0.427921023828&{}:{}&0.003043382443&,\\B^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.794378219640&{}:{}&0.204988805276&{}:{}&0.000632975084&,\\C^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.709215823296&{}:{}&0.079459311299&{}:{}&0.211324865405&,\\[.5em] A^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.861922615730&{}:{}&0.111209297329&{}:{}&0.026868086941&,\\B^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.395086645885&{}:{}&0.594219004474&{}:{}&0.010694349641&,\\C^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.351033215403&{}:{}&0.039329152879&{}:{}&0.609637631718&,\\[.5em] A^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.157976251304&{}:{}&0.612193885840&{}:{}&0.545782365463&,\\B^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.335323888807&{}:{}&0.445902906223&{}:{}&0.889420982584&,\\C^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.284846922835&{}:{}&0.847469149469&{}:{}&0.437377773366&,\\[.5em] A^{\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.084909143280&{}:{}&0.987126696686&{}:{}&0.097782446595&,\\B^{\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.177250691694&{}:{}&0.707106781187&{}:{}&0.470143910508&,\\C^{\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.032913124397&{}:{}&0.881300437976&{}:{}&0.151612686421&,\\[.5em] A^{\prime\prime}_{\mathbf{2a}}&{}\approx{}&-0.050502102634&{}:{}&0.033578034680&{}:{}&1.016924067954&,\\B^{\prime\prime}_{\mathbf{2a}}&{}\approx{}&-0.010324736120&{}:{}&0.080021399081&{}:{}&0.930303337039&,\\C^{\prime\prime}_{\mathbf{2a}}&{}\approx{}&-0.091536296568&{}:{}&0.272336406608&{}:{}&0.819199889960&,\\[.5em] A^{\prime\prime}_{\mathbf{3a}}&{}\approx{}&-0.129756511997&{}:{}&0.258819045103&{}:{}&0.870937466894&,\\B^{\prime\prime}_{\mathbf{3a}}&{}\approx{}&-0.008900306209&{}:{}&0.206944258973&{}:{}&0.801956047237&,\\C^{\prime\prime}_{\mathbf{3a}}&{}\approx{}&-0.019002401230&{}:{}&0.508819045103&{}:{}&0.510183356128&,\\[.5em] A^{\prime\prime}_{\mathbf{4a}}&{}\approx{}&1.177729466308&{}:{}&-0.040716535172&{}:{}&-0.137012931136&,\\B^{\prime\prime}_{\mathbf{4a}}&{}\approx{}&1.754600960884&{}:{}&-0.707106781187&{}:{}&-0.047494179697&,\\C^{\prime\prime}_{\mathbf{4a}}&{}\approx{}&1.898938528181&{}:{}&-0.015275034192&{}:{}&-0.883663493989&,\\[.5em] A^{\prime\prime}_{\mathbf{5a}}&{}\approx{}&1.563803670862&{}:{}&-0.018021305398&{}:{}&-0.545782365463&,\\B^{\prime\prime}_{\mathbf{5a}}&{}\approx{}&1.192466745950&{}:{}&-0.160188620509&{}:{}&-0.032278125442&,\\C^{\prime\prime}_{\mathbf{5a}}&{}\approx{}&1.184846922835&{}:{}&-0.001058987955&{}:{}&-0.183787934880&,\\[.5em] A^{\prime\prime}_{\mathbf{6a}}&{}\approx{}&1.284457050376&{}:{}&-0.258819045103&{}:{}&-0.025638005274&,\\B^{\prime\prime}_{\mathbf{6a}}&{}\approx{}&1.075200536943&{}:{}&-0.074343797505&{}:{}&-0.000856739439&,\\C^{\prime\prime}_{\mathbf{6a}}&{}\approx{}&1.096352670420&{}:{}&-0.008819045103&{}:{}&-0.087533625317&,\\[.5em] A^{\prime\prime}_{\mathbf{7a}}&{}\approx{}&1.145537674257&{}:{}&-0.076942229376&{}:{}&-0.068595444881&,\\B^{\prime\prime}_{\mathbf{7a}}&{}\approx{}&1.024427325195&{}:{}&-0.023611042779&{}:{}&-0.000816282416&,\\C^{\prime\prime}_{\mathbf{7a}}&{}\approx{}&1.028285418516&{}:{}&-0.000919057012&{}:{}&-0.027366361504&,\\[.5em] A^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.569035593729&{}:{}&-1.135027805015&{}:{}&1.565992211286&,\\B^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.712728561547&{}:{}&-0.487831517751&{}:{}&0.775102956204&,\\C^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.997890957891&{}:{}&-0.786566092485&{}:{}&0.788675134595&,\\[.5em] A^{\prime\prime}_{\mathbf{1b}}&{}\approx{}&0.691598265489&{}:{}&-0.812235392740&{}:{}&1.120637127251&,\\B^{\prime\prime}_{\mathbf{1b}}&{}\approx{}&1.026681170442&{}:{}&-0.413754029503&{}:{}&0.387072859061&,\\C^{\prime\prime}_{\mathbf{1b}}&{}\approx{}&0.838864733154&{}:{}&-0.229227101436&{}:{}&0.390362368282&,\\[.5em] A^{\prime\prime}_{\mathbf{2b}}&{}\approx{}&-0.886144284064&{}:{}&2.487002255795&{}:{}&-0.600857971732&,\\B^{\prime\prime}_{\mathbf{2b}}&{}\approx{}&-0.052887391723&{}:{}&1.730235642903&{}:{}&-0.677348251181&,\\C^{\prime\prime}_{\mathbf{2b}}&{}\approx{}&-0.070253249758&{}:{}&3.724179755262&{}:{}&-2.653926505503&,\\[.5em] A^{\prime\prime}_{\mathbf{3b}}&{}\approx{}&-0.382407688794&{}:{}&1.822793234594&{}:{}&-0.440385545800&,\\B^{\prime\prime}_{\mathbf{3b}}&{}\approx{}&-0.056752614297&{}:{}&3.153392501810&{}:{}&-2.096639887513&,\\C^{\prime\prime}_{\mathbf{3b}}&{}\approx{}&-0.011395662887&{}:{}&1.742536632124&{}:{}&-0.731140969236&,\\[.5em] A^{\prime\prime}_{\mathbf{4b}}&{}\approx{}&0.059888604508&{}:{}&-0.020495564798&{}:{}&0.960606960290&,\\B^{\prime\prime}_{\mathbf{4b}}&{}\approx{}&0.029451445317&{}:{}&-0.117490749968&{}:{}&1.088039304651&,\\C^{\prime\prime}_{\mathbf{4b}}&{}\approx{}&0.207545428360&{}:{}&-0.163593221591&{}:{}&0.956047793232&,\\[.5em] A^{\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.097631072938&{}:{}&-0.019672733364&{}:{}&0.922041660427&,\\B^{\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.087271438453&{}:{}&-0.204988805276&{}:{}&1.117717366823&,\\C^{\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.290784176704&{}:{}&-0.079459311299&{}:{}&0.788675134595&,\\[.5em] A^{\prime\prime}_{\mathbf{6b}}&{}\approx{}&-0.065610786686&{}:{}&1.073243716365&{}:{}&-0.007632929680&,\\B^{\prime\prime}_{\mathbf{6b}}&{}\approx{}&-0.236067708731&{}:{}&1.325068467273&{}:{}&-0.089000758542&,\\C^{\prime\prime}_{\mathbf{6b}}&{}\approx{}&-0.021963854722&{}:{}&1.164321129380&{}:{}&-0.142357274659&,\\[.5em] A^{\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.037616146640&{}:{}&1.045048551774&{}:{}&-0.007432405134&,\\B^{\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.134305151059&{}:{}&1.280364008856&{}:{}&-0.146058857797&,\\C^{\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.007097019431&{}:{}&1.085221321497&{}:{}&-0.078124302066&,\\[.5em] A^{\prime\prime}_{\mathbf{c}}&{}\approx{}&0.787908377764&{}:{}&1.955100465014&{}:{}&-1.743008842778&,\\B^{\prime\prime}_{\mathbf{c}}&{}\approx{}&1.308968663182&{}:{}&1.114554309167&{}:{}&-1.423522972348&,\\C^{\prime\prime}_{\mathbf{c}}&{}\approx{}&0.808638614765&{}:{}&0.986413926833&{}:{}&-0.795052541598&,\\[.5em] A^{\prime\prime}_{\mathbf{1c}}&{}\approx{}&-1.284457050376&{}:{}&-0.965925826289&{}:{}&3.250382876665&,\\B^{\prime\prime}_{\mathbf{1c}}&{}\approx{}&-0.328808412459&{}:{}&-2.882361696309&{}:{}&4.211170108768&,\\C^{\prime\prime}_{\mathbf{1c}}&{}\approx{}&-0.188104379956&{}:{}&-0.715925826289&{}:{}&1.904030206245&,\\[.5em] A^{\prime\prime}_{\mathbf{2c}}&{}\approx{}&0.863190734293&{}:{}&1.261133543050&{}:{}&-1.124324277343&,\\B^{\prime\prime}_{\mathbf{2c}}&{}\approx{}&0.889420982584&{}:{}&0.445902906223&{}:{}&-0.335323888807&,\\C^{\prime\prime}_{\mathbf{2c}}&{}\approx{}&1.184846922835&{}:{}&0.501058987955&{}:{}&-0.685905910790&,\\[.5em] A^{\prime\prime}_{\mathbf{3c}}&{}\approx{}&-0.494886753833&{}:{}&-0.632075670964&{}:{}&2.126962424797&,\\B^{\prime\prime}_{\mathbf{3c}}&{}\approx{}&-0.047494179697&{}:{}&-0.707106781187&{}:{}&1.754600960884&,\\C^{\prime\prime}_{\mathbf{3c}}&{}\approx{}&-0.191831746995&{}:{}&-2.106045309368&{}:{}&3.297877056363&,\\[.5em] A^{\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.129756511997&{}:{}&0.965925826289&{}:{}&-0.095682338286&,\\B^{\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.405365324582&{}:{}&1.035475520556&{}:{}&-0.440840845138&,\\C^{\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.110754110767&{}:{}&1.215925826289&{}:{}&-0.326679937056&,\\[.5em] A^{\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.157704332773&{}:{}&-0.039531797475&{}:{}&1.197236130248&,\\B^{\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.112544936467&{}:{}&-0.328859402310&{}:{}&1.441404338777&,\\C^{\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.512511024384&{}:{}&-0.216735386019&{}:{}&1.729246410402&,\\[.5em] A^{\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.202066430806&{}:{}&0.885665509450&{}:{}&-0.087731940256&,\\B^{\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.470143910508&{}:{}&0.707106781187&{}:{}&-0.177250691694&,\\C^{\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.325806343210&{}:{}&1.240019905583&{}:{}&-0.565826248794&,\\[.5em] A^{\prime\prime}_{\mathbf{7c}}&{}\approx{}&-0.087199972033&{}:{}&-0.037124305311&{}:{}&1.124324277343&,\\B^{\prime\prime}_{\mathbf{7c}}&{}\approx{}&-0.032278125442&{}:{}&-0.160188620509&{}:{}&1.192466745950&,\\C^{\prime\prime}_{\mathbf{7c}}&{}\approx{}&-0.284846922835&{}:{}&-0.347469149469&{}:{}&1.632316072304&. \end{alignedat} \] \[ \begin{alignedat}{4} A^{\prime\prime\prime}&{}\approx{}&0.082686398402&{}:{}&0.371934449273&{}:{}&0.545379152325&,\\B^{\prime\prime\prime}&{}\approx{}&0.212018011131&{}:{}&0.163887705492&{}:{}&0.624094283377&,\\C^{\prime\prime\prime}&{}\approx{}&0.256408669230&{}:{}&0.514728275328&{}:{}&0.228863055443&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{1}}&{}\approx{}&0.020645542240&{}:{}&-0.013690475934&{}:{}&0.993044933694&,\\B^{\prime\prime\prime}_{\mathbf{1}}&{}\approx{}&-0.008989687726&{}:{}&0.035070420932&{}:{}&0.973919266794&,\\C^{\prime\prime\prime}_{\mathbf{1}}&{}\approx{}&-0.497235293230&{}:{}&-0.742659848096&{}:{}&2.239895141326&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{2}}&{}\approx{}&0.011811902327&{}:{}&1.004522217769&{}:{}&-0.016334120096&,\\B^{\prime\prime\prime}_{\mathbf{2}}&{}\approx{}&1.835145019262&{}:{}&-4.142385791735&{}:{}&3.307240772473&,\\C^{\prime\prime\prime}_{\mathbf{2}}&{}\approx{}&-0.008893874685&{}:{}&0.985712428381&{}:{}&0.023181446304&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&0.063479042966&{}:{}&0.835145019262&{}:{}&0.101375937772&,\\B^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&-0.405273068521&{}:{}&0.731140969236&{}:{}&0.674132099284&,\\C^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&-0.067629565656&{}:{}&0.926746322053&{}:{}&0.140883243603&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{4}}&{}\approx{}&-0.404027016596&{}:{}&0.656166899063&{}:{}&0.747860117533&,\\B^{\prime\prime\prime}_{\mathbf{4}}&{}\approx{}&1.000640089468&{}:{}&0.009319328097&{}:{}&-0.009959417565&,\\C^{\prime\prime\prime}_{\mathbf{4}}&{}\approx{}&0.997982657437&{}:{}&-0.008715112186&{}:{}&0.010732454749&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&-0.541953664682&{}:{}&0.928650446468&{}:{}&0.613303218214&,\\B^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.981048146442&{}:{}&0.054672994102&{}:{}&-0.035721140544&,\\C^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.990866739077&{}:{}&-0.054629506117&{}:{}&0.063762767040&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&-0.821468465999&{}:{}&0.187318480668&{}:{}&1.634149985330&,\\B^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&1.021143590653&{}:{}&0.142357274659&{}:{}&-0.163500865312&,\\C^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&0.875179475926&{}:{}&-0.016062719530&{}:{}&0.140883243603&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&-0.414652684042&{}:{}&0.611198649156&{}:{}&0.803454034886&,\\B^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&1.187318480668&{}:{}&1.578004830277&{}:{}&-1.765323310945&,\\C^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&0.712447143398&{}:{}&-0.805806984673&{}:{}&1.093359841275&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.100724410341&{}:{}&0.606200178336&{}:{}&0.494524232005&,\\B^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.318670453370&{}:{}&0.343887101817&{}:{}&0.974783351553&,\\C^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.250265410457&{}:{}&0.938416460254&{}:{}&0.311848950203&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.048024884147&{}:{}&1.033462520746&{}:{}&0.014562363401&,\\B^{\prime\prime\prime}_{\mathbf{1a}}&{}\approx{}&0.060755344153&{}:{}&0.799311405657&{}:{}&0.139933250190&,\\C^{\prime\prime\prime}_{\mathbf{1a}}&{}\approx{}&0.005566474518&{}:{}&0.909870382050&{}:{}&0.084563143432&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{2a}}&{}\approx{}&-0.027122129900&{}:{}&-0.010910772286&{}:{}&1.038032902186&,\\B^{\prime\prime\prime}_{\mathbf{2a}}&{}\approx{}&0.013636034257&{}:{}&0.042705907257&{}:{}&0.943658058486&,\\C^{\prime\prime\prime}_{\mathbf{2a}}&{}\approx{}&0.257139226613&{}:{}&-0.187042059235&{}:{}&0.929902832622&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{3a}}&{}\approx{}&-0.078855436697&{}:{}&0.177996636312&{}:{}&0.900858800384&,\\B^{\prime\prime\prime}_{\mathbf{3a}}&{}\approx{}&0.060755344153&{}:{}&0.123653904788&{}:{}&0.815590751059&,\\C^{\prime\prime\prime}_{\mathbf{3a}}&{}\approx{}&0.166595639717&{}:{}&0.441882199621&{}:{}&0.391522160661&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{4a}}&{}\approx{}&0.225721727966&{}:{}&0.375354170427&{}:{}&0.398924101607&,\\B^{\prime\prime\prime}_{\mathbf{4a}}&{}\approx{}&0.995377271606&{}:{}&-0.226974699488&{}:{}&0.231597427882&,\\C^{\prime\prime\prime}_{\mathbf{4a}}&{}\approx{}&1.046440152556&{}:{}&0.229092766764&{}:{}&-0.275532919319&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{5a}}&{}\approx{}&0.249315396705&{}:{}&0.426080702769&{}:{}&0.324603900526&,\\B^{\prime\prime\prime}_{\mathbf{5a}}&{}\approx{}&1.017656790442&{}:{}&-0.071110445424&{}:{}&0.053453654982&,\\C^{\prime\prime\prime}_{\mathbf{5a}}&{}\approx{}&1.011879249019&{}:{}&0.069765850404&{}:{}&-0.081645099424&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{6a}}&{}\approx{}&0.233147571756&{}:{}&0.309864623847&{}:{}&0.456987804396&,\\B^{\prime\prime\prime}_{\mathbf{6a}}&{}\approx{}&0.995377271606&{}:{}&-0.035113108209&{}:{}&0.039735836603&,\\C^{\prime\prime\prime}_{\mathbf{6a}}&{}\approx{}&1.013854380176&{}:{}&0.027443380685&{}:{}&-0.041297760861&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{7a}}&{}\approx{}&0.223316181277&{}:{}&0.356796055057&{}:{}&0.419887763666&,\\B^{\prime\prime\prime}_{\mathbf{7a}}&{}\approx{}&0.999008426431&{}:{}&-0.011589704378&{}:{}&0.012581277947&,\\C^{\prime\prime\prime}_{\mathbf{7a}}&{}\approx{}&1.002701755568&{}:{}&0.010730357862&{}:{}&-0.013432113430&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.445083498629&{}:{}&-1.004665866461&{}:{}&1.559582367831&,\\B^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.696219866445&{}:{}&-0.296936332843&{}:{}&0.600716466399&,\\C^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&1.067629565656&{}:{}&-0.593412988719&{}:{}&0.525783423063&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{1b}}&{}\approx{}&0.615800306227&{}:{}&-0.379834213309&{}:{}&0.764033907082&,\\B^{\prime\prime\prime}_{\mathbf{1b}}&{}\approx{}&1.069158888269&{}:{}&-0.243799034087&{}:{}&0.174640145818&,\\C^{\prime\prime\prime}_{\mathbf{1b}}&{}\approx{}&0.845952191110&{}:{}&-0.068695628708&{}:{}&0.222743437598&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{2b}}&{}\approx{}&-0.283694543421&{}:{}&1.101028646734&{}:{}&0.182665896687&,\\B^{\prime\prime\prime}_{\mathbf{2b}}&{}\approx{}&0.273425473874&{}:{}&0.529671474248&{}:{}&0.196903051878&,\\C^{\prime\prime\prime}_{\mathbf{2b}}&{}\approx{}&0.322185925341&{}:{}&1.398495856470&{}:{}&-0.720681781812&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{3b}}&{}\approx{}&-0.153894226683&{}:{}&1.200558860947&{}:{}&-0.046664634264&,\\B^{\prime\prime\prime}_{\mathbf{3b}}&{}\approx{}&0.396223548081&{}:{}&0.731909907060&{}:{}&-0.128133455142&,\\C^{\prime\prime\prime}_{\mathbf{3b}}&{}\approx{}&0.139141752801&{}:{}&1.157644773974&{}:{}&-0.296786526774&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{4b}}&{}\approx{}&0.031126093212&{}:{}&0.032607525881&{}:{}&0.936266380907&,\\B^{\prime\prime\prime}_{\mathbf{4b}}&{}\approx{}&-0.004665866461&{}:{}&-0.061385221846&{}:{}&1.066051088307&,\\C^{\prime\prime\prime}_{\mathbf{4b}}&{}\approx{}&-0.045149215873&{}:{}&0.359264531564&{}:{}&0.685884684309&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.052036359186&{}:{}&0.069158888269&{}:{}&0.878804752545&,\\B^{\prime\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.030375364847&{}:{}&-0.110808486394&{}:{}&1.080433121547&,\\C^{\prime\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.124820524074&{}:{}&0.349396052863&{}:{}&0.525783423063&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{6b}}&{}\approx{}&-0.031495327193&{}:{}&0.975832785450&{}:{}&0.055662541743&,\\B^{\prime\prime\prime}_{\mathbf{6b}}&{}\approx{}&0.098616666258&{}:{}&0.446148379041&{}:{}&0.455234954701&,\\C^{\prime\prime\prime}_{\mathbf{6b}}&{}\approx{}&0.013037156421&{}:{}&1.055068196363&{}:{}&-0.068105352783&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.018369991613&{}:{}&0.988889296335&{}:{}&0.029480695278&,\\B^{\prime\prime\prime}_{\mathbf{7b}}&{}\approx{}&0.160218419584&{}:{}&0.435899537363&{}:{}&0.403882043053&,\\C^{\prime\prime\prime}_{\mathbf{7b}}&{}\approx{}&0.012133575236&{}:{}&1.025984601583&{}:{}&-0.038118176819&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{c}}&{}\approx{}&0.553613173284&{}:{}&1.788563694392&{}:{}&-1.342176867676&,\\B^{\prime\prime\prime}_{\mathbf{c}}&{}\approx{}&1.291389424022&{}:{}&0.728974806348&{}:{}&-1.020364230369&,\\C^{\prime\prime\prime}_{\mathbf{c}}&{}\approx{}&0.713725972751&{}:{}&0.751491655961&{}:{}&-0.465217628712&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{1c}}&{}\approx{}&-0.436847386571&{}:{}&0.099613791793&{}:{}&1.337233594778&,\\B^{\prime\prime\prime}_{\mathbf{1c}}&{}\approx{}&0.312754422633&{}:{}&-0.895635873797&{}:{}&1.582881451164&,\\C^{\prime\prime\prime}_{\mathbf{1c}}&{}\approx{}&0.213504891485&{}:{}&0.080494267500&{}:{}&0.706000841015&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{2c}}&{}\approx{}&0.630941014909&{}:{}&0.750805118671&{}:{}&-0.381746133580&,\\B^{\prime\prime\prime}_{\mathbf{2c}}&{}\approx{}&0.839838163367&{}:{}&0.246145869911&{}:{}&-0.085984033278&,\\C^{\prime\prime\prime}_{\mathbf{2c}}&{}\approx{}&1.158838906697&{}:{}&0.233344652421&{}:{}&-0.392183559117&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{3c}}&{}\approx{}&-0.209495183861&{}:{}&-0.172283536684&{}:{}&1.381778720544&,\\B^{\prime\prime\prime}_{\mathbf{3c}}&{}\approx{}&0.136267600782&{}:{}&-0.307590390640&{}:{}&1.171322789857&,\\C^{\prime\prime\prime}_{\mathbf{3c}}&{}\approx{}&0.394522265867&{}:{}&-0.422825119925&{}:{}&1.028302854058&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.068113238382&{}:{}&0.896113569492&{}:{}&0.035773192126&,\\B^{\prime\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.136267600782&{}:{}&0.662765180311&{}:{}&0.200967218906&,\\C^{\prime\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.030933536812&{}:{}&1.142792943468&{}:{}&-0.173726480280&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.074548920027&{}:{}&0.091748112049&{}:{}&0.982800807978&,\\B^{\prime\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.016467010125&{}:{}&-0.153745011840&{}:{}&1.170212021965&,\\C^{\prime\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.060919864928&{}:{}&0.404147936857&{}:{}&0.656771928072&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.109102601687&{}:{}&0.767431166621&{}:{}&0.123466231692&,\\B^{\prime\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.312754422633&{}:{}&0.415666055605&{}:{}&0.271579521762&,\\C^{\prime\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.205645020102&{}:{}&1.109948927634&{}:{}&-0.315593947736&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{7c}}&{}\approx{}&-0.042251430014&{}:{}&0.037205580111&{}:{}&1.005045849903&,\\B^{\prime\prime\prime}_{\mathbf{7c}}&{}\approx{}&0.013507105779&{}:{}&-0.077471749102&{}:{}&1.063964643324&,\\C^{\prime\prime\prime}_{\mathbf{7c}}&{}\approx{}&0.094886282107&{}:{}&0.276688131919&{}:{}&0.628425585974&. \end{alignedat} \] \[ \begin{alignedat}{4} A^*&{}\approx{}&0.000000000000&{}:{}&0.392793641318&{}:{}&0.607206358682&,\\B^*&{}\approx{}&0.241180954897&{}:{}&0.000000000000&{}:{}&0.758819045103&,\\C^*&{}\approx{}&0.329459311299&{}:{}&0.670540688701&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{1}}&{}\approx{}&0.000000000000&{}:{}&-0.124844448887&{}:{}&1.124844448887&,\\B^*_{\mathbf{1}}&{}\approx{}&-0.057677535825&{}:{}&0.000000000000&{}:{}&1.057677535825&,\\C^*_{\mathbf{1}}&{}\approx{}&0.329459311299&{}:{}&0.670540688701&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{2}}&{}\approx{}&0.000000000000&{}:{}&1.124844448887&{}:{}&-0.124844448887&,\\B^*_{\mathbf{2}}&{}\approx{}&0.241180954897&{}:{}&0.000000000000&{}:{}&0.758819045103&,\\C^*_{\mathbf{2}}&{}\approx{}&-0.036566092485&{}:{}&1.036566092485&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{3}}&{}\approx{}&0.000000000000&{}:{}&0.607206358682&{}:{}&0.392793641318&,\\B^*_{\mathbf{3}}&{}\approx{}&-0.057677535825&{}:{}&0.000000000000&{}:{}&1.057677535825&,\\C^*_{\mathbf{3}}&{}\approx{}&-0.036566092485&{}:{}&1.036566092485&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{4}}&{}\approx{}&0.000000000000&{}:{}&0.392793641318&{}:{}&0.607206358682&,\\B^*_{\mathbf{4}}&{}\approx{}&1.057677535825&{}:{}&0.000000000000&{}:{}&-0.057677535825&,\\C^*_{\mathbf{4}}&{}\approx{}&1.036566092485&{}:{}&-0.036566092485&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{5}}&{}\approx{}&0.000000000000&{}:{}&-0.124844448887&{}:{}&1.124844448887&,\\B^*_{\mathbf{5}}&{}\approx{}&0.758819045103&{}:{}&0.000000000000&{}:{}&0.241180954897&,\\C^*_{\mathbf{5}}&{}\approx{}&1.036566092485&{}:{}&-0.036566092485&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{6}}&{}\approx{}&0.000000000000&{}:{}&1.124844448887&{}:{}&-0.124844448887&,\\B^*_{\mathbf{6}}&{}\approx{}&1.057677535825&{}:{}&0.000000000000&{}:{}&-0.057677535825&,\\C^*_{\mathbf{6}}&{}\approx{}&0.670540688701&{}:{}&0.329459311299&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{7}}&{}\approx{}&0.000000000000&{}:{}&0.607206358682&{}:{}&0.392793641318&,\\B^*_{\mathbf{7}}&{}\approx{}&0.758819045103&{}:{}&0.000000000000&{}:{}&0.241180954897&,\\C^*_{\mathbf{7}}&{}\approx{}&0.670540688701&{}:{}&0.329459311299&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{a}}&{}\approx{}&0.000000000000&{}:{}&0.582262332300&{}:{}&0.417737667700&,\\B^*_{\mathbf{a}}&{}\approx{}&-0.465925826289&{}:{}&0.000000000000&{}:{}&1.465925826289&,\\C^*_{\mathbf{a}}&{}\approx{}&-0.295385137588&{}:{}&1.295385137588&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{1a}}&{}\approx{}&0.000000000000&{}:{}&1.314313139868&{}:{}&-0.314313139868&,\\B^*_{\mathbf{1a}}&{}\approx{}&-0.465925826289&{}:{}&0.000000000000&{}:{}&1.465925826289&,\\C^*_{\mathbf{1a}}&{}\approx{}&0.070640266196&{}:{}&0.929359733804&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{2a}}&{}\approx{}&0.000000000000&{}:{}&-0.314313139868&{}:{}&1.314313139868&,\\B^*_{\mathbf{2a}}&{}\approx{}&0.051712263916&{}:{}&0.000000000000&{}:{}&0.948287736084&,\\C^*_{\mathbf{2a}}&{}\approx{}&-0.295385137588&{}:{}&1.295385137588&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{3a}}&{}\approx{}&0.000000000000&{}:{}&0.417737667700&{}:{}&0.582262332300&,\\B^*_{\mathbf{3a}}&{}\approx{}&0.051712263916&{}:{}&0.000000000000&{}:{}&0.948287736084&,\\C^*_{\mathbf{3a}}&{}\approx{}&0.070640266196&{}:{}&0.929359733804&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{4a}}&{}\approx{}&0.000000000000&{}:{}&0.417737667700&{}:{}&0.582262332300&,\\B^*_{\mathbf{4a}}&{}\approx{}&1.465925826289&{}:{}&0.000000000000&{}:{}&-0.465925826289&,\\C^*_{\mathbf{4a}}&{}\approx{}&1.295385137588&{}:{}&-0.295385137588&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{5a}}&{}\approx{}&0.000000000000&{}:{}&-0.314313139868&{}:{}&1.314313139868&,\\B^*_{\mathbf{5a}}&{}\approx{}&1.465925826289&{}:{}&0.000000000000&{}:{}&-0.465925826289&,\\C^*_{\mathbf{5a}}&{}\approx{}&0.929359733804&{}:{}&0.070640266196&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{6a}}&{}\approx{}&0.000000000000&{}:{}&1.314313139868&{}:{}&-0.314313139868&,\\B^*_{\mathbf{6a}}&{}\approx{}&0.948287736084&{}:{}&0.000000000000&{}:{}&0.051712263916&,\\C^*_{\mathbf{6a}}&{}\approx{}&1.295385137588&{}:{}&-0.295385137588&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{7a}}&{}\approx{}&0.000000000000&{}:{}&0.582262332300&{}:{}&0.417737667700&,\\B^*_{\mathbf{7a}}&{}\approx{}&0.948287736084&{}:{}&0.000000000000&{}:{}&0.051712263916&,\\C^*_{\mathbf{7a}}&{}\approx{}&0.929359733804&{}:{}&0.070640266196&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{b}}&{}\approx{}&0.000000000000&{}:{}&-1.831951230074&{}:{}&2.831951230074&,\\B^*_{\mathbf{b}}&{}\approx{}&0.649429245361&{}:{}&0.000000000000&{}:{}&0.350570754639&,\\C^*_{\mathbf{b}}&{}\approx{}&1.536566092485&{}:{}&-0.536566092485&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{1b}}&{}\approx{}&0.000000000000&{}:{}&-1.831951230074&{}:{}&2.831951230074&,\\B^*_{\mathbf{1b}}&{}\approx{}&1.465925826289&{}:{}&0.000000000000&{}:{}&-0.465925826289&,\\C^*_{\mathbf{1b}}&{}\approx{}&0.829459311299&{}:{}&0.170540688701&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{2b}}&{}\approx{}&0.000000000000&{}:{}&2.831951230074&{}:{}&-1.831951230074&,\\B^*_{\mathbf{2b}}&{}\approx{}&0.350570754639&{}:{}&0.000000000000&{}:{}&0.649429245361&,\\C^*_{\mathbf{2b}}&{}\approx{}&-0.536566092485&{}:{}&1.536566092485&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{3b}}&{}\approx{}&0.000000000000&{}:{}&2.831951230074&{}:{}&-1.831951230074&,\\B^*_{\mathbf{3b}}&{}\approx{}&-0.465925826289&{}:{}&0.000000000000&{}:{}&1.465925826289&,\\C^*_{\mathbf{3b}}&{}\approx{}&0.170540688701&{}:{}&0.829459311299&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{4b}}&{}\approx{}&0.000000000000&{}:{}&0.099900422505&{}:{}&0.900099577495&,\\B^*_{\mathbf{4b}}&{}\approx{}&-0.465925826289&{}:{}&0.000000000000&{}:{}&1.465925826289&,\\C^*_{\mathbf{4b}}&{}\approx{}&1.536566092485&{}:{}&-0.536566092485&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{5b}}&{}\approx{}&0.000000000000&{}:{}&0.099900422505&{}:{}&0.900099577495&,\\B^*_{\mathbf{5b}}&{}\approx{}&0.350570754639&{}:{}&0.000000000000&{}:{}&0.649429245361&,\\C^*_{\mathbf{5b}}&{}\approx{}&0.829459311299&{}:{}&0.170540688701&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{6b}}&{}\approx{}&0.000000000000&{}:{}&0.900099577495&{}:{}&0.099900422505&,\\B^*_{\mathbf{6b}}&{}\approx{}&1.465925826289&{}:{}&0.000000000000&{}:{}&-0.465925826289&,\\C^*_{\mathbf{6b}}&{}\approx{}&-0.536566092485&{}:{}&1.536566092485&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{7b}}&{}\approx{}&0.000000000000&{}:{}&0.900099577495&{}:{}&0.099900422505&,\\B^*_{\mathbf{7b}}&{}\approx{}&0.649429245361&{}:{}&0.000000000000&{}:{}&0.350570754639&,\\C^*_{\mathbf{7b}}&{}\approx{}&0.170540688701&{}:{}&0.829459311299&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{c}}&{}\approx{}&0.000000000000&{}:{}&3.539058011260&{}:{}&-2.539058011260&,\\B^*_{\mathbf{c}}&{}\approx{}&2.173032607476&{}:{}&0.000000000000&{}:{}&-1.173032607476&,\\C^*_{\mathbf{c}}&{}\approx{}&0.570640266196&{}:{}&0.429359733804&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{1c}}&{}\approx{}&0.000000000000&{}:{}&-2.539058011260&{}:{}&3.539058011260&,\\B^*_{\mathbf{1c}}&{}\approx{}&-1.173032607476&{}:{}&0.000000000000&{}:{}&2.173032607476&,\\C^*_{\mathbf{1c}}&{}\approx{}&0.429359733804&{}:{}&0.570640266196&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{2c}}&{}\approx{}&0.000000000000&{}:{}&3.539058011260&{}:{}&-2.539058011260&,\\B^*_{\mathbf{2c}}&{}\approx{}&0.758819045103&{}:{}&0.000000000000&{}:{}&0.241180954897&,\\C^*_{\mathbf{2c}}&{}\approx{}&1.795385137588&{}:{}&-0.795385137588&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{3c}}&{}\approx{}&0.000000000000&{}:{}&-2.539058011260&{}:{}&3.539058011260&,\\B^*_{\mathbf{3c}}&{}\approx{}&0.241180954897&{}:{}&0.000000000000&{}:{}&0.758819045103&,\\C^*_{\mathbf{3c}}&{}\approx{}&-0.795385137588&{}:{}&1.795385137588&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{4c}}&{}\approx{}&0.000000000000&{}:{}&0.807007203691&{}:{}&0.192992796309&,\\B^*_{\mathbf{4c}}&{}\approx{}&2.173032607476&{}:{}&0.000000000000&{}:{}&-1.173032607476&,\\C^*_{\mathbf{4c}}&{}\approx{}&-0.795385137588&{}:{}&1.795385137588&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{5c}}&{}\approx{}&0.000000000000&{}:{}&0.192992796309&{}:{}&0.807007203691&,\\B^*_{\mathbf{5c}}&{}\approx{}&-1.173032607476&{}:{}&0.000000000000&{}:{}&2.173032607476&,\\C^*_{\mathbf{5c}}&{}\approx{}&1.795385137588&{}:{}&-0.795385137588&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{6c}}&{}\approx{}&0.000000000000&{}:{}&0.807007203691&{}:{}&0.192992796309&,\\B^*_{\mathbf{6c}}&{}\approx{}&0.758819045103&{}:{}&0.000000000000&{}:{}&0.241180954897&,\\C^*_{\mathbf{6c}}&{}\approx{}&0.429359733804&{}:{}&0.570640266196&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{7c}}&{}\approx{}&0.000000000000&{}:{}&0.192992796309&{}:{}&0.807007203691&,\\B^*_{\mathbf{7c}}&{}\approx{}&0.241180954897&{}:{}&0.000000000000&{}:{}&0.758819045103&,\\C^*_{\mathbf{7c}}&{}\approx{}&0.570640266196&{}:{}&0.429359733804&{}:{}&0.000000000000&. \end{alignedat} \]