Derousseau's Generalization of the Malfatti circles

\[ \begin{alignedat}{4} I&{}\approx{}&0.276393202250&{}:{}&0.276393202250&{}:{}&0.447213595500&,\\ I_{\mathbf{a}}&{}\approx{}&-0.618033988750&{}:{}&0.618033988750&{}:{}&1.000000000000&,\\ I_{\mathbf{b}}&{}\approx{}&0.618033988750&{}:{}&-0.618033988750&{}:{}&1.000000000000&,\\ I_{\mathbf{c}}&{}\approx{}&2.618033988750&{}:{}&2.618033988750&{}:{}&-4.236067977500&. \end{alignedat} \] \[ \begin{alignedat}{4} P&{}\approx{}&0.225067351166&{}:{}&0.225067351166&{}:{}&0.549865297667&,\\ P_{\mathbf{1}}&{}\approx{}&0.026145372443&{}:{}&0.026145372443&{}:{}&0.947709255114&,\\ P_{\mathbf{2}}&{}\approx{}&0.000627928339&{}:{}&0.997837970864&{}:{}&0.001534100797&,\\ P_{\mathbf{3}}&{}\approx{}&0.000614876449&{}:{}&0.977097274982&{}:{}&0.022287848569&,\\ P_{\mathbf{4}}&{}\approx{}&0.997837970864&{}:{}&0.000627928339&{}:{}&0.001534100797&,\\ P_{\mathbf{5}}&{}\approx{}&0.977097274982&{}:{}&0.000614876449&{}:{}&0.022287848569&,\\ P_{\mathbf{6}}&{}\approx{}&0.499615939044&{}:{}&0.499615939044&{}:{}&0.000768121912&,\\ P_{\mathbf{7}}&{}\approx{}&0.494361738666&{}:{}&0.494361738666&{}:{}&0.011276522668&,\\ P_{\mathbf{a}}&{}\approx{}&-0.322205268138&{}:{}&0.715783638318&{}:{}&0.606421629820&,\\ P_{\mathbf{1a}}&{}\approx{}&-0.112933240919&{}:{}&0.900381905509&{}:{}&0.212551335411&,\\ P_{\mathbf{2a}}&{}\approx{}&-0.005879384437&{}:{}&0.013061137105&{}:{}&0.992818247331&,\\ P_{\mathbf{3a}}&{}\approx{}&-0.005687084864&{}:{}&0.045341373936&{}:{}&0.960345710928&,\\ P_{\mathbf{4a}}&{}\approx{}&1.125215770933&{}:{}&-0.005645349511&{}:{}&-0.119570421423&,\\ P_{\mathbf{5a}}&{}\approx{}&1.120652109335&{}:{}&-0.001566642846&{}:{}&-0.119085466488&,\\ P_{\mathbf{6a}}&{}\approx{}&1.006240207724&{}:{}&-0.005048434097&{}:{}&-0.001191773627&,\\ P_{\mathbf{7a}}&{}\approx{}&1.002589042964&{}:{}&-0.001401593714&{}:{}&-0.001187449250&,\\ P_{\mathbf{b}}&{}\approx{}&0.715783638318&{}:{}&-0.322205268138&{}:{}&0.606421629820&,\\ P_{\mathbf{1b}}&{}\approx{}&0.900381905509&{}:{}&-0.112933240919&{}:{}&0.212551335411&,\\ P_{\mathbf{2b}}&{}\approx{}&-0.005645349511&{}:{}&1.125215770933&{}:{}&-0.119570421423&,\\ P_{\mathbf{3b}}&{}\approx{}&-0.001566642846&{}:{}&1.120652109335&{}:{}&-0.119085466488&,\\ P_{\mathbf{4b}}&{}\approx{}&0.013061137105&{}:{}&-0.005879384437&{}:{}&0.992818247331&,\\ P_{\mathbf{5b}}&{}\approx{}&0.045341373936&{}:{}&-0.005687084864&{}:{}&0.960345710928&,\\ P_{\mathbf{6b}}&{}\approx{}&-0.005048434097&{}:{}&1.006240207724&{}:{}&-0.001191773627&,\\ P_{\mathbf{7b}}&{}\approx{}&-0.001401593714&{}:{}&1.002589042964&{}:{}&-0.001187449250&,\\ P_{\mathbf{c}}&{}\approx{}&1.110804778477&{}:{}&1.110804778477&{}:{}&-1.221609556953&,\\ P_{\mathbf{1c}}&{}\approx{}&-0.392698881462&{}:{}&-0.392698881462&{}:{}&1.785397762923&,\\ P_{\mathbf{2c}}&{}\approx{}&1.028589529787&{}:{}&0.286606649450&{}:{}&-0.315196179237&,\\ P_{\mathbf{3c}}&{}\approx{}&-0.085267471877&{}:{}&-0.306012540087&{}:{}&1.391280011964&,\\ P_{\mathbf{4c}}&{}\approx{}&0.286606649450&{}:{}&1.028589529787&{}:{}&-0.315196179237&,\\ P_{\mathbf{5c}}&{}\approx{}&-0.306012540087&{}:{}&-0.085267471877&{}:{}&1.391280011964&,\\ P_{\mathbf{6c}}&{}\approx{}&0.590470515754&{}:{}&0.590470515754&{}:{}&-0.180941031508&,\\ P_{\mathbf{7c}}&{}\approx{}&-0.069848712968&{}:{}&-0.069848712968&{}:{}&1.139697425937&. \end{alignedat} \] \[ \begin{alignedat}{4} P^-&{}\approx{}&0.207367247767&{}:{}&0.207367247767&{}:{}&0.585265504466&,\\ P^-_{\mathbf{1}}&{}\approx{}&-0.006289583863&{}:{}&-0.006289583863&{}:{}&1.012579167725&,\\ P^-_{\mathbf{2}}&{}\approx{}&-0.007467526437&{}:{}&1.019016937363&{}:{}&-0.011549410926&,\\ P^-_{\mathbf{3}}&{}\approx{}&-0.032625567140&{}:{}&1.061555377824&{}:{}&-0.028929810685&,\\ P^-_{\mathbf{4}}&{}\approx{}&1.019016937363&{}:{}&-0.007467526437&{}:{}&-0.011549410926&,\\ P^-_{\mathbf{5}}&{}\approx{}&1.061555377824&{}:{}&-0.032625567140&{}:{}&-0.028929810685&,\\ P^-_{\mathbf{6}}&{}\approx{}&0.794586950088&{}:{}&0.794586950088&{}:{}&-0.589173900176&,\\ P^-_{\mathbf{7}}&{}\approx{}&0.090019096795&{}:{}&0.090019096795&{}:{}&0.819961806411&,\\ P^-_{\mathbf{a}}&{}\approx{}&-0.241292834512&{}:{}&0.742519250791&{}:{}&0.498773583720&,\\ P^-_{\mathbf{1a}}&{}\approx{}&-0.028922059966&{}:{}&0.947343589942&{}:{}&0.081578470024&,\\ P^-_{\mathbf{2a}}&{}\approx{}&0.017720438091&{}:{}&-0.010261814045&{}:{}&0.992541375954&,\\ P^-_{\mathbf{3a}}&{}\approx{}&0.039006726956&{}:{}&0.003541838746&{}:{}&0.957451434297&,\\ P^-_{\mathbf{4a}}&{}\approx{}&0.685214846521&{}:{}&0.151772991635&{}:{}&0.163012161845&,\\ P^-_{\mathbf{5a}}&{}\approx{}&0.858564880576&{}:{}&0.091831131859&{}:{}&0.049603987565&,\\ P^-_{\mathbf{6a}}&{}\approx{}&0.956066451279&{}:{}&0.014198553756&{}:{}&0.029734994965&,\\ P^-_{\mathbf{7a}}&{}\approx{}&0.975868257024&{}:{}&0.008811642356&{}:{}&0.015320100621&,\\ P^-_{\mathbf{b}}&{}\approx{}&0.742519250791&{}:{}&-0.241292834512&{}:{}&0.498773583720&,\\ P^-_{\mathbf{1b}}&{}\approx{}&0.947343589942&{}:{}&-0.028922059966&{}:{}&0.081578470024&,\\ P^-_{\mathbf{2b}}&{}\approx{}&0.151772991635&{}:{}&0.685214846521&{}:{}&0.163012161845&,\\ P^-_{\mathbf{3b}}&{}\approx{}&0.091831131859&{}:{}&0.858564880576&{}:{}&0.049603987565&,\\ P^-_{\mathbf{4b}}&{}\approx{}&-0.010261814045&{}:{}&0.017720438091&{}:{}&0.992541375954&,\\ P^-_{\mathbf{5b}}&{}\approx{}&0.003541838746&{}:{}&0.039006726956&{}:{}&0.957451434297&,\\ P^-_{\mathbf{6b}}&{}\approx{}&0.014198553756&{}:{}&0.956066451279&{}:{}&0.029734994965&,\\ P^-_{\mathbf{7b}}&{}\approx{}&0.008811642356&{}:{}&0.975868257024&{}:{}&0.015320100621&,\\ P^-_{\mathbf{c}}&{}\approx{}&0.878366934585&{}:{}&0.878366934585&{}:{}&-0.756733869169&,\\ P^-_{\mathbf{1c}}&{}\approx{}&0.070755769515&{}:{}&0.070755769515&{}:{}&0.858488460969&,\\ P^-_{\mathbf{2c}}&{}\approx{}&0.917533018974&{}:{}&0.123706848795&{}:{}&-0.041239867769&,\\ P^-_{\mathbf{3c}}&{}\approx{}&0.102960104927&{}:{}&-0.102414753972&{}:{}&0.999454649045&,\\ P^-_{\mathbf{4c}}&{}\approx{}&0.123706848795&{}:{}&0.917533018974&{}:{}&-0.041239867769&,\\ P^-_{\mathbf{5c}}&{}\approx{}&-0.102414753972&{}:{}&0.102960104927&{}:{}&0.999454649045&,\\ P^-_{\mathbf{6c}}&{}\approx{}&0.435456545682&{}:{}&0.435456545682&{}:{}&0.129086908636&,\\ P^-_{\mathbf{7c}}&{}\approx{}&0.014408693869&{}:{}&0.014408693869&{}:{}&0.971182612263&. \end{alignedat} \] \[ \begin{alignedat}{4} P^+&{}\approx{}&0.235542551970&{}:{}&0.235542551970&{}:{}&0.528914896060&,\\ P^+_{\mathbf{1}}&{}\approx{}&0.051903291889&{}:{}&0.051903291889&{}:{}&0.896193416221&,\\ P^+_{\mathbf{2}}&{}\approx{}&0.008274436377&{}:{}&0.977833518729&{}:{}&0.013892044894&,\\ P^+_{\mathbf{3}}&{}\approx{}&0.027398651828&{}:{}&0.909044426967&{}:{}&0.063556921204&,\\ P^+_{\mathbf{4}}&{}\approx{}&0.977833518729&{}:{}&0.008274436377&{}:{}&0.013892044894&,\\ P^+_{\mathbf{5}}&{}\approx{}&0.909044426967&{}:{}&0.027398651828&{}:{}&0.063556921204&,\\ P^+_{\mathbf{6}}&{}\approx{}&0.418643128010&{}:{}&0.418643128010&{}:{}&0.162713743979&,\\ P^+_{\mathbf{7}}&{}\approx{}&0.345163372007&{}:{}&0.345163372007&{}:{}&0.309673255986&,\\ P^+_{\mathbf{a}}&{}\approx{}&-0.374507320074&{}:{}&0.698501654210&{}:{}&0.676005665864&,\\ P^+_{\mathbf{1a}}&{}\approx{}&-0.175973878972&{}:{}&0.865142613344&{}:{}&0.310831265628&,\\ P^+_{\mathbf{2a}}&{}\approx{}&-0.027789821861&{}:{}&0.034714522894&{}:{}&0.993075298967&,\\ P^+_{\mathbf{3a}}&{}\approx{}&-0.044687755655&{}:{}&0.081816443856&{}:{}&0.962871311798&,\\ P^+_{\mathbf{4a}}&{}\approx{}&2.013757169175&{}:{}&-0.323537211072&{}:{}&-0.690219958103&,\\ P^+_{\mathbf{5a}}&{}\approx{}&1.495854294235&{}:{}&-0.135274222954&{}:{}&-0.360580071281&,\\ P^+_{\mathbf{6a}}&{}\approx{}&1.059717805309&{}:{}&-0.025562797462&{}:{}&-0.034155007846&,\\ P^+_{\mathbf{7a}}&{}\approx{}&1.030221019369&{}:{}&-0.011963105592&{}:{}&-0.018257913777&,\\ P^+_{\mathbf{b}}&{}\approx{}&0.698501654210&{}:{}&-0.374507320074&{}:{}&0.676005665864&,\\ P^+_{\mathbf{1b}}&{}\approx{}&0.865142613344&{}:{}&-0.175973878972&{}:{}&0.310831265628&,\\ P^+_{\mathbf{2b}}&{}\approx{}&-0.323537211072&{}:{}&2.013757169175&{}:{}&-0.690219958103&,\\ P^+_{\mathbf{3b}}&{}\approx{}&-0.135274222954&{}:{}&1.495854294235&{}:{}&-0.360580071281&,\\ P^+_{\mathbf{4b}}&{}\approx{}&0.034714522894&{}:{}&-0.027789821861&{}:{}&0.993075298967&,\\ P^+_{\mathbf{5b}}&{}\approx{}&0.081816443856&{}:{}&-0.044687755655&{}:{}&0.962871311798&,\\ P^+_{\mathbf{6b}}&{}\approx{}&-0.025562797462&{}:{}&1.059717805309&{}:{}&-0.034155007846&,\\ P^+_{\mathbf{7b}}&{}\approx{}&-0.011963105592&{}:{}&1.030221019369&{}:{}&-0.018257913777&,\\ P^+_{\mathbf{c}}&{}\approx{}&1.288451063029&{}:{}&1.288451063029&{}:{}&-1.576902126058&,\\ P^+_{\mathbf{1c}}&{}\approx{}&-1.062303627662&{}:{}&-1.062303627662&{}:{}&3.124607255324&,\\ P^+_{\mathbf{2c}}&{}\approx{}&1.126029526936&{}:{}&0.429533489084&{}:{}&-0.555563016020&,\\ P^+_{\mathbf{3c}}&{}\approx{}&-0.303947958753&{}:{}&-0.542549947360&{}:{}&1.846497906113&,\\ P^+_{\mathbf{4c}}&{}\approx{}&0.429533489084&{}:{}&1.126029526936&{}:{}&-0.555563016020&,\\ P^+_{\mathbf{5c}}&{}\approx{}&-0.542549947360&{}:{}&-0.303947958753&{}:{}&1.846497906113&,\\ P^+_{\mathbf{6c}}&{}\approx{}&0.724925434503&{}:{}&0.724925434503&{}:{}&-0.449850869005&,\\ P^+_{\mathbf{7c}}&{}\approx{}&-0.159741906973&{}:{}&-0.159741906973&{}:{}&1.319483813946&. \end{alignedat} \] \[ \begin{alignedat}{4} Q&{}\approx{}&0.191680415255&{}:{}&0.191680415255&{}:{}&0.616639169491&,\\ Q_{\mathbf{1}}&{}\approx{}&-0.096233099183&{}:{}&-0.096233099183&{}:{}&1.192466198366&,\\ Q_{\mathbf{2}}&{}\approx{}&-0.028053291404&{}:{}&1.118301208960&{}:{}&-0.090247917556&,\\ Q_{\mathbf{3}}&{}\approx{}&-0.019510332317&{}:{}&0.777749316571&{}:{}&0.241761015746&,\\ Q_{\mathbf{4}}&{}\approx{}&1.118301208960&{}:{}&-0.028053291404&{}:{}&-0.090247917556&,\\ Q_{\mathbf{5}}&{}\approx{}&0.777749316571&{}:{}&-0.019510332317&{}:{}&0.241761015746&,\\ Q_{\mathbf{6}}&{}\approx{}&0.521023534915&{}:{}&0.521023534915&{}:{}&-0.042047069830&,\\ Q_{\mathbf{7}}&{}\approx{}&0.432741767197&{}:{}&0.432741767197&{}:{}&0.134516465606&,\\ Q_{\mathbf{a}}&{}\approx{}&-0.177346747593&{}:{}&0.813526594315&{}:{}&0.363820153278&,\\ Q_{\mathbf{1a}}&{}\approx{}&0.130912821404&{}:{}&1.137649886375&{}:{}&-0.268562707779&,\\ Q_{\mathbf{2a}}&{}\approx{}&0.063113303097&{}:{}&-0.289513911147&{}:{}&1.226400608049&,\\ Q_{\mathbf{3a}}&{}\approx{}&0.034338463035&{}:{}&0.298405825736&{}:{}&0.667255711228&,\\ Q_{\mathbf{4a}}&{}\approx{}&3.395063102620&{}:{}&-0.740115201310&{}:{}&-1.654947901310&,\\ Q_{\mathbf{5a}}&{}\approx{}&1.593331342029&{}:{}&0.183349467982&{}:{}&-0.776680810011&,\\ Q_{\mathbf{6a}}&{}\approx{}&1.199810798344&{}:{}&-0.261555730692&{}:{}&0.061744932348&,\\ Q_{\mathbf{7a}}&{}\approx{}&0.857239414698&{}:{}&0.098645138316&{}:{}&0.044115446985&,\\ Q_{\mathbf{b}}&{}\approx{}&0.813526594315&{}:{}&-0.177346747593&{}:{}&0.363820153278&,\\ Q_{\mathbf{1b}}&{}\approx{}&1.137649886375&{}:{}&0.130912821404&{}:{}&-0.268562707779&,\\ Q_{\mathbf{2b}}&{}\approx{}&-0.740115201310&{}:{}&3.395063102620&{}:{}&-1.654947901310&,\\ Q_{\mathbf{3b}}&{}\approx{}&0.183349467982&{}:{}&1.593331342029&{}:{}&-0.776680810011&,\\ Q_{\mathbf{4b}}&{}\approx{}&-0.289513911147&{}:{}&0.063113303097&{}:{}&1.226400608049&,\\ Q_{\mathbf{5b}}&{}\approx{}&0.298405825736&{}:{}&0.034338463035&{}:{}&0.667255711228&,\\ Q_{\mathbf{6b}}&{}\approx{}&-0.261555730692&{}:{}&1.199810798344&{}:{}&0.061744932348&,\\ Q_{\mathbf{7b}}&{}\approx{}&0.098645138316&{}:{}&0.857239414698&{}:{}&0.044115446985&,\\ Q_{\mathbf{c}}&{}\approx{}&0.770001728548&{}:{}&0.770001728548&{}:{}&-0.540003457095&,\\ Q_{\mathbf{1c}}&{}\approx{}&1.741917497203&{}:{}&1.741917497203&{}:{}&-2.483834994406&,\\ Q_{\mathbf{2c}}&{}\approx{}&1.187186182172&{}:{}&-0.626672900290&{}:{}&0.439486718118&,\\ Q_{\mathbf{3c}}&{}\approx{}&0.553441891575&{}:{}&-1.048455368038&{}:{}&1.495013476463&,\\ Q_{\mathbf{4c}}&{}\approx{}&-0.626672900290&{}:{}&1.187186182172&{}:{}&0.439486718118&,\\ Q_{\mathbf{5c}}&{}\approx{}&-1.048455368038&{}:{}&0.553441891575&{}:{}&1.495013476463&,\\ Q_{\mathbf{6c}}&{}\approx{}&0.421906764831&{}:{}&0.421906764831&{}:{}&0.156186470338&,\\ Q_{\mathbf{7c}}&{}\approx{}&0.212707050415&{}:{}&0.212707050415&{}:{}&0.574585899170&. \end{alignedat} \] \[ \begin{alignedat}{4} I^\prime&{}\approx{}&0.250738053924&{}:{}&0.250738053924&{}:{}&0.498523892152&,\\ I^\prime_{\mathbf{1}}&{}\approx{}&0.103537589192&{}:{}&0.103537589192&{}:{}&0.792924821616&,\\ I^\prime_{\mathbf{2}}&{}\approx{}&0.023336305710&{}:{}&0.930265846940&{}:{}&0.046397847350&,\\ I^\prime_{\mathbf{3}}&{}\approx{}&0.020609298995&{}:{}&0.821557928802&{}:{}&0.157832772203&,\\ I^\prime_{\mathbf{4}}&{}\approx{}&0.930265846940&{}:{}&0.023336305710&{}:{}&0.046397847350&,\\ I^\prime_{\mathbf{5}}&{}\approx{}&0.821557928802&{}:{}&0.020609298995&{}:{}&0.157832772203&,\\ I^\prime_{\mathbf{6}}&{}\approx{}&0.487834409624&{}:{}&0.487834409624&{}:{}&0.024331180752&,\\ I^\prime_{\mathbf{7}}&{}\approx{}&0.456180656796&{}:{}&0.456180656796&{}:{}&0.087638686407&,\\ I^\prime_{\mathbf{a}}&{}\approx{}&-0.447316704796&{}:{}&0.666714164514&{}:{}&0.780602540282&,\\ I^\prime_{\mathbf{1a}}&{}\approx{}&-0.280216163150&{}:{}&0.791217101774&{}:{}&0.488999061376&,\\ I^\prime_{\mathbf{2a}}&{}\approx{}&-0.058754093781&{}:{}&0.087571481518&{}:{}&0.971182612263&,\\ I^\prime_{\mathbf{3a}}&{}\approx{}&-0.054486376717&{}:{}&0.153847488979&{}:{}&0.900638887737&,\\ I^\prime_{\mathbf{4a}}&{}\approx{}&1.943587463614&{}:{}&-0.137667555613&{}:{}&-0.805919908001&,\\ I^\prime_{\mathbf{5a}}&{}\approx{}&1.824968519586&{}:{}&-0.068234650416&{}:{}&-0.756733869169&,\\ I^\prime_{\mathbf{6a}}&{}\approx{}&1.129443303240&{}:{}&-0.080000361019&{}:{}&-0.049442942222&,\\ I^\prime_{\mathbf{7a}}&{}\approx{}&1.088335723635&{}:{}&-0.040692322547&{}:{}&-0.047643401087&,\\ I^\prime_{\mathbf{b}}&{}\approx{}&0.666714164514&{}:{}&-0.447316704796&{}:{}&0.780602540282&,\\ I^\prime_{\mathbf{1b}}&{}\approx{}&0.791217101774&{}:{}&-0.280216163150&{}:{}&0.488999061376&,\\ I^\prime_{\mathbf{2b}}&{}\approx{}&-0.137667555613&{}:{}&1.943587463614&{}:{}&-0.805919908001&,\\ I^\prime_{\mathbf{3b}}&{}\approx{}&-0.068234650416&{}:{}&1.824968519586&{}:{}&-0.756733869169&,\\ I^\prime_{\mathbf{4b}}&{}\approx{}&0.087571481518&{}:{}&-0.058754093781&{}:{}&0.971182612263&,\\ I^\prime_{\mathbf{5b}}&{}\approx{}&0.153847488979&{}:{}&-0.054486376717&{}:{}&0.900638887737&,\\ I^\prime_{\mathbf{6b}}&{}\approx{}&-0.080000361019&{}:{}&1.129443303240&{}:{}&-0.049442942222&,\\ I^\prime_{\mathbf{7b}}&{}\approx{}&-0.040692322547&{}:{}&1.088335723635&{}:{}&-0.047643401087&,\\ I^\prime_{\mathbf{c}}&{}\approx{}&1.501399931367&{}:{}&1.501399931367&{}:{}&-2.002799862733&,\\ I^\prime_{\mathbf{1c}}&{}\approx{}&-1.403979697400&{}:{}&-1.403979697400&{}:{}&3.807959394800&,\\ I^\prime_{\mathbf{2c}}&{}\approx{}&1.214008897464&{}:{}&0.640831647282&{}:{}&-0.854840544746&,\\ I^\prime_{\mathbf{3c}}&{}\approx{}&-0.445681692658&{}:{}&-0.844311517102&{}:{}&2.289993209760&,\\ I^\prime_{\mathbf{4c}}&{}\approx{}&0.640831647282&{}:{}&1.214008897464&{}:{}&-0.854840544746&,\\ I^\prime_{\mathbf{5c}}&{}\approx{}&-0.844311517102&{}:{}&-0.445681692658&{}:{}&2.289993209760&,\\ I^\prime_{\mathbf{6c}}&{}\approx{}&0.771692380705&{}:{}&0.771692380705&{}:{}&-0.543384761410&,\\ I^\prime_{\mathbf{7c}}&{}\approx{}&-0.318655933735&{}:{}&-0.318655933735&{}:{}&1.637311867470&. \end{alignedat} \]

\[ \begin{alignedat}{4} A^\prime&{}\approx{}&0.453848561685&{}:{}&0.208611286432&{}:{}&0.337540151884&,\\B^\prime&{}\approx{}&0.208611286432&{}:{}&0.453848561685&{}:{}&0.337540151884&,\\C^\prime&{}\approx{}&0.122846377163&{}:{}&0.122846377163&{}:{}&0.754307245674&,\\[.5em] A^\prime_{\mathbf{1}}&{}\approx{}&-0.071882550435&{}:{}&0.409422702318&{}:{}&0.662459848116&,\\B^\prime_{\mathbf{1}}&{}\approx{}&0.409422702318&{}:{}&-0.071882550435&{}:{}&0.662459848116&,\\C^\prime_{\mathbf{1}}&{}\approx{}&0.033040781847&{}:{}&0.033040781847&{}:{}&0.933918436306&,\\[.5em] A^\prime_{\mathbf{2}}&{}\approx{}&-0.542110752268&{}:{}&0.589033892950&{}:{}&0.953076859319&,\\B^\prime_{\mathbf{2}}&{}\approx{}&0.007799870546&{}:{}&0.979579673804&{}:{}&0.012620455651&,\\C^\prime_{\mathbf{2}}&{}\approx{}&1.734342398551&{}:{}&1.734342398551&{}:{}&-2.468684797102&,\\[.5em] A^\prime_{\mathbf{3}}&{}\approx{}&-0.597613662554&{}:{}&0.610234118204&{}:{}&0.987379544349&,\\B^\prime_{\mathbf{3}}&{}\approx{}&0.029000095800&{}:{}&0.924076763519&{}:{}&0.046923140681&,\\C^\prime_{\mathbf{3}}&{}\approx{}&0.883691590199&{}:{}&0.883691590199&{}:{}&-0.767383180398&,\\[.5em] A^\prime_{\mathbf{4}}&{}\approx{}&0.979579673804&{}:{}&0.007799870546&{}:{}&0.012620455651&,\\B^\prime_{\mathbf{4}}&{}\approx{}&0.589033892950&{}:{}&-0.542110752268&{}:{}&0.953076859319&,\\C^\prime_{\mathbf{4}}&{}\approx{}&1.734342398551&{}:{}&1.734342398551&{}:{}&-2.468684797102&,\\[.5em] A^\prime_{\mathbf{5}}&{}\approx{}&0.924076763519&{}:{}&0.029000095800&{}:{}&0.046923140681&,\\B^\prime_{\mathbf{5}}&{}\approx{}&0.610234118204&{}:{}&-0.597613662554&{}:{}&0.987379544349&,\\C^\prime_{\mathbf{5}}&{}\approx{}&0.883691590199&{}:{}&0.883691590199&{}:{}&-0.767383180398&,\\[.5em] A^\prime_{\mathbf{6}}&{}\approx{}&0.453848561685&{}:{}&0.208611286432&{}:{}&0.337540151884&,\\B^\prime_{\mathbf{6}}&{}\approx{}&0.208611286432&{}:{}&0.453848561685&{}:{}&0.337540151884&,\\C^\prime_{\mathbf{6}}&{}\approx{}&2.584993206903&{}:{}&2.584993206903&{}:{}&-4.169986413806&,\\[.5em] A^\prime_{\mathbf{7}}&{}\approx{}&-0.071882550435&{}:{}&0.409422702318&{}:{}&0.662459848116&,\\B^\prime_{\mathbf{7}}&{}\approx{}&0.409422702318&{}:{}&-0.071882550435&{}:{}&0.662459848116&,\\C^\prime_{\mathbf{7}}&{}\approx{}&2.495187611587&{}:{}&2.495187611587&{}:{}&-3.990375223174&,\\[.5em] A^\prime_{\mathbf{a}}&{}\approx{}&-1.198926561037&{}:{}&0.839915207551&{}:{}&1.359011353486&,\\B^\prime_{\mathbf{a}}&{}\approx{}&-0.199576037755&{}:{}&0.876655225327&{}:{}&0.322920812428&,\\C^\prime_{\mathbf{a}}&{}\approx{}&-0.338909579091&{}:{}&0.338909579091&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{1a}}&{}\approx{}&-0.120409044417&{}:{}&0.427958173665&{}:{}&0.692450870753&,\\B^\prime_{\mathbf{1a}}&{}\approx{}&-0.101689070346&{}:{}&0.937152698242&{}:{}&0.164536372104&,\\C^\prime_{\mathbf{1a}}&{}\approx{}&-1.260073510670&{}:{}&1.260073510670&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{2a}}&{}\approx{}&0.221231742082&{}:{}&0.297463005165&{}:{}&0.481305252753&,\\B^\prime_{\mathbf{2a}}&{}\approx{}&-5.337757047845&{}:{}&-2.298915279258&{}:{}&8.636672327103&,\\C^\prime_{\mathbf{2a}}&{}\approx{}&-0.024005533170&{}:{}&0.024005533170&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{3a}}&{}\approx{}&0.248287034463&{}:{}&0.287128803051&{}:{}&0.464584162486&,\\B^\prime_{\mathbf{3a}}&{}\approx{}&-1.435644015255&{}:{}&0.112723202827&{}:{}&2.322920812428&,\\C^\prime_{\mathbf{3a}}&{}\approx{}&-0.047113511590&{}:{}&0.047113511590&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{4a}}&{}\approx{}&2.475319763287&{}:{}&-0.563522005301&{}:{}&-0.911797757986&,\\B^\prime_{\mathbf{4a}}&{}\approx{}&2.817610026505&{}:{}&2.741378763423&{}:{}&-4.558988789928&,\\C^\prime_{\mathbf{4a}}&{}\approx{}&0.956943567841&{}:{}&-0.956943567841&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{5a}}&{}\approx{}&1.396802246667&{}:{}&-0.151564971415&{}:{}&-0.245237275253&,\\B^\prime_{\mathbf{5a}}&{}\approx{}&2.719723059095&{}:{}&2.680881290508&{}:{}&-4.400604349603&,\\C^\prime_{\mathbf{5a}}&{}\approx{}&1.878107499420&{}:{}&-1.878107499420&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{6a}}&{}\approx{}&1.055161460168&{}:{}&-0.021069802915&{}:{}&-0.034091657253&,\\B^\prime_{\mathbf{6a}}&{}\approx{}&7.955791036595&{}:{}&5.916949268008&{}:{}&-12.872740304603&,\\C^\prime_{\mathbf{6a}}&{}\approx{}&0.642039521920&{}:{}&-0.642039521920&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{7a}}&{}\approx{}&1.028106167787&{}:{}&-0.010735600801&{}:{}&-0.017370566986&,\\B^\prime_{\mathbf{7a}}&{}\approx{}&4.053678004005&{}:{}&3.505310785923&{}:{}&-6.558988789928&,\\C^\prime_{\mathbf{7a}}&{}\approx{}&0.665147500340&{}:{}&-0.665147500340&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{b}}&{}\approx{}&0.876655225327&{}:{}&-0.199576037755&{}:{}&0.322920812428&,\\B^\prime_{\mathbf{b}}&{}\approx{}&0.839915207551&{}:{}&-1.198926561037&{}:{}&1.359011353486&,\\C^\prime_{\mathbf{b}}&{}\approx{}&0.338909579091&{}:{}&-0.338909579091&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{1b}}&{}\approx{}&0.937152698242&{}:{}&-0.101689070346&{}:{}&0.164536372104&,\\B^\prime_{\mathbf{1b}}&{}\approx{}&0.427958173665&{}:{}&-0.120409044417&{}:{}&0.692450870753&,\\C^\prime_{\mathbf{1b}}&{}\approx{}&1.260073510670&{}:{}&-1.260073510670&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{2b}}&{}\approx{}&2.741378763423&{}:{}&2.817610026505&{}:{}&-4.558988789928&,\\B^\prime_{\mathbf{2b}}&{}\approx{}&-0.563522005301&{}:{}&2.475319763287&{}:{}&-0.911797757986&,\\C^\prime_{\mathbf{2b}}&{}\approx{}&-0.956943567841&{}:{}&0.956943567841&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{3b}}&{}\approx{}&2.680881290508&{}:{}&2.719723059095&{}:{}&-4.400604349603&,\\B^\prime_{\mathbf{3b}}&{}\approx{}&-0.151564971415&{}:{}&1.396802246667&{}:{}&-0.245237275253&,\\C^\prime_{\mathbf{3b}}&{}\approx{}&-1.878107499420&{}:{}&1.878107499420&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{4b}}&{}\approx{}&-2.298915279258&{}:{}&-5.337757047845&{}:{}&8.636672327103&,\\B^\prime_{\mathbf{4b}}&{}\approx{}&0.297463005165&{}:{}&0.221231742082&{}:{}&0.481305252753&,\\C^\prime_{\mathbf{4b}}&{}\approx{}&0.024005533170&{}:{}&-0.024005533170&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{5b}}&{}\approx{}&0.112723202827&{}:{}&-1.435644015255&{}:{}&2.322920812428&,\\B^\prime_{\mathbf{5b}}&{}\approx{}&0.287128803051&{}:{}&0.248287034463&{}:{}&0.464584162486&,\\C^\prime_{\mathbf{5b}}&{}\approx{}&0.047113511590&{}:{}&-0.047113511590&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{6b}}&{}\approx{}&5.916949268008&{}:{}&7.955791036595&{}:{}&-12.872740304603&,\\B^\prime_{\mathbf{6b}}&{}\approx{}&-0.021069802915&{}:{}&1.055161460168&{}:{}&-0.034091657253&,\\C^\prime_{\mathbf{6b}}&{}\approx{}&-0.642039521920&{}:{}&0.642039521920&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{7b}}&{}\approx{}&3.505310785923&{}:{}&4.053678004005&{}:{}&-6.558988789928&,\\B^\prime_{\mathbf{7b}}&{}\approx{}&-0.010735600801&{}:{}&1.028106167787&{}:{}&-0.017370566986&,\\C^\prime_{\mathbf{7b}}&{}\approx{}&-0.665147500340&{}:{}&0.665147500340&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{c}}&{}\approx{}&1.396802246667&{}:{}&0.642039521920&{}:{}&-1.038841768588&,\\B^\prime_{\mathbf{c}}&{}\approx{}&0.642039521920&{}:{}&1.396802246667&{}:{}&-1.038841768588&,\\C^\prime_{\mathbf{c}}&{}\approx{}&7.955791036595&{}:{}&7.955791036595&{}:{}&-14.911582073190&,\\[.5em] A^\prime_{\mathbf{1c}}&{}\approx{}&0.221231742082&{}:{}&-1.260073510670&{}:{}&2.038841768588&,\\B^\prime_{\mathbf{1c}}&{}\approx{}&-1.260073510670&{}:{}&0.221231742082&{}:{}&2.038841768588&,\\C^\prime_{\mathbf{1c}}&{}\approx{}&-7.679397834345&{}:{}&-7.679397834345&{}:{}&16.358795668690&,\\[.5em] A^\prime_{\mathbf{2c}}&{}\approx{}&1.140530838933&{}:{}&0.227383673861&{}:{}&-0.367914512795&,\\B^\prime_{\mathbf{2c}}&{}\approx{}&17.171655583861&{}:{}&11.612666793933&{}:{}&-27.784322377793&,\\C^\prime_{\mathbf{2c}}&{}\approx{}&0.563522005301&{}:{}&0.563522005301&{}:{}&-0.127044010602&,\\[.5em] A^\prime_{\mathbf{3c}}&{}\approx{}&0.477503149817&{}:{}&-0.845417662611&{}:{}&1.367914512795&,\\B^\prime_{\mathbf{3c}}&{}\approx{}&-17.789689572610&{}:{}&-9.994632805183&{}:{}&28.784322377793&,\\C^\prime_{\mathbf{3c}}&{}\approx{}&-0.287128803051&{}:{}&-0.287128803051&{}:{}&1.574257606102&,\\[.5em] A^\prime_{\mathbf{4c}}&{}\approx{}&11.612666793933&{}:{}&17.171655583861&{}:{}&-27.784322377793&,\\B^\prime_{\mathbf{4c}}&{}\approx{}&0.227383673861&{}:{}&1.140530838933&{}:{}&-0.367914512795&,\\C^\prime_{\mathbf{4c}}&{}\approx{}&0.563522005301&{}:{}&0.563522005301&{}:{}&-0.127044010602&,\\[.5em] A^\prime_{\mathbf{5c}}&{}\approx{}&-9.994632805183&{}:{}&-17.789689572610&{}:{}&28.784322377793&,\\B^\prime_{\mathbf{5c}}&{}\approx{}&-0.845417662611&{}:{}&0.477503149817&{}:{}&1.367914512795&,\\C^\prime_{\mathbf{5c}}&{}\approx{}&-0.287128803051&{}:{}&-0.287128803051&{}:{}&1.574257606102&,\\[.5em] A^\prime_{\mathbf{6c}}&{}\approx{}&1.396802246667&{}:{}&0.642039521920&{}:{}&-1.038841768588&,\\B^\prime_{\mathbf{6c}}&{}\approx{}&0.642039521920&{}:{}&1.396802246667&{}:{}&-1.038841768588&,\\C^\prime_{\mathbf{6c}}&{}\approx{}&0.378082272596&{}:{}&0.378082272596&{}:{}&0.243835454809&,\\[.5em] A^\prime_{\mathbf{7c}}&{}\approx{}&0.221231742082&{}:{}&-1.260073510670&{}:{}&2.038841768588&,\\B^\prime_{\mathbf{7c}}&{}\approx{}&-1.260073510670&{}:{}&0.221231742082&{}:{}&2.038841768588&,\\C^\prime_{\mathbf{7c}}&{}\approx{}&-0.101689070346&{}:{}&-0.101689070346&{}:{}&1.203378140691&. \end{alignedat} \] \[ \begin{alignedat}{4} A^{\prime\prime}&{}\approx{}&0.154632965764&{}:{}&0.245523942558&{}:{}&0.599843091678&,\\B^{\prime\prime}&{}\approx{}&0.245523942558&{}:{}&0.154632965764&{}:{}&0.599843091678&,\\C^{\prime\prime}&{}\approx{}&0.331229924058&{}:{}&0.331229924058&{}:{}&0.337540151884&,\\[.5em] A^{\prime\prime}_{\mathbf{1}}&{}\approx{}&0.061146949634&{}:{}&0.025205674416&{}:{}&0.913647375950&,\\B^{\prime\prime}_{\mathbf{1}}&{}\approx{}&0.025205674416&{}:{}&0.061146949634&{}:{}&0.913647375950&,\\C^{\prime\prime}_{\mathbf{1}}&{}\approx{}&0.168770075942&{}:{}&0.168770075942&{}:{}&0.662459848116&,\\[.5em] A^{\prime\prime}_{\mathbf{2}}&{}\approx{}&0.015529898368&{}:{}&0.982958876324&{}:{}&0.001511225309&,\\B^{\prime\prime}_{\mathbf{2}}&{}\approx{}&0.035026953083&{}:{}&0.879398191730&{}:{}&0.085574855187&,\\C^{\prime\prime}_{\mathbf{2}}&{}\approx{}&0.000613226740&{}:{}&0.974475729089&{}:{}&0.024911044171&,\\[.5em] A^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.056157278885&{}:{}&0.922793554837&{}:{}&0.021049166278&,\\B^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.007465291253&{}:{}&0.721935174254&{}:{}&0.270599534493&,\\C^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.000572551367&{}:{}&0.909838685235&{}:{}&0.089588763398&,\\[.5em] A^{\prime\prime}_{\mathbf{4}}&{}\approx{}&0.879398191730&{}:{}&0.035026953083&{}:{}&0.085574855187&,\\B^{\prime\prime}_{\mathbf{4}}&{}\approx{}&0.982958876324&{}:{}&0.015529898368&{}:{}&0.001511225309&,\\C^{\prime\prime}_{\mathbf{4}}&{}\approx{}&0.974475729089&{}:{}&0.000613226740&{}:{}&0.024911044171&,\\[.5em] A^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.721935174254&{}:{}&0.007465291253&{}:{}&0.270599534493&,\\B^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.922793554837&{}:{}&0.056157278885&{}:{}&0.021049166278&,\\C^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.909838685235&{}:{}&0.000572551367&{}:{}&0.089588763398&,\\[.5em] A^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.386066645866&{}:{}&0.612990926709&{}:{}&0.000942427425&,\\B^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.612990926709&{}:{}&0.386066645866&{}:{}&0.000942427425&,\\C^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.331229924058&{}:{}&0.331229924058&{}:{}&0.337540151884&,\\[.5em] A^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.703424104663&{}:{}&0.289961789835&{}:{}&0.006614105502&,\\B^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.289961789835&{}:{}&0.703424104663&{}:{}&0.006614105502&,\\C^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.168770075942&{}:{}&0.168770075942&{}:{}&0.662459848116&,\\[.5em] A^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.251216481318&{}:{}&0.677353438913&{}:{}&0.573863042405&,\\B^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.586162603175&{}:{}&0.482947614758&{}:{}&1.103214988417&,\\C^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.391445299440&{}:{}&0.869601363923&{}:{}&0.521843935517&,\\[.5em] A^{\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.188190960236&{}:{}&0.961266679393&{}:{}&0.226924280842&,\\B^{\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.409342438319&{}:{}&0.638920185343&{}:{}&0.770422252976&,\\C^{\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.105283192248&{}:{}&0.839390426438&{}:{}&0.265892765810&,\\[.5em] A^{\prime\prime}_{\mathbf{2a}}&{}\approx{}&-0.047796112540&{}:{}&0.013605417206&{}:{}&1.034190695334&,\\B^{\prime\prime}_{\mathbf{2a}}&{}\approx{}&-0.005692538760&{}:{}&0.044425859367&{}:{}&0.961266679393&,\\C^{\prime\prime}_{\mathbf{2a}}&{}\approx{}&-0.072207288794&{}:{}&0.160409530808&{}:{}&0.911797757986&,\\[.5em] A^{\prime\prime}_{\mathbf{3a}}&{}\approx{}&-0.091233029983&{}:{}&0.049198210466&{}:{}&1.042034819518&,\\B^{\prime\prime}_{\mathbf{3a}}&{}\approx{}&-0.005474986363&{}:{}&0.080945144273&{}:{}&0.924529842089&,\\C^{\prime\prime}_{\mathbf{3a}}&{}\approx{}&-0.032368140490&{}:{}&0.258061203014&{}:{}&0.774306937476&,\\[.5em] A^{\prime\prime}_{\mathbf{4a}}&{}\approx{}&1.428668966623&{}:{}&-0.019326528304&{}:{}&-0.409342438319&,\\B^{\prime\prime}_{\mathbf{4a}}&{}\approx{}&1.912572132841&{}:{}&-0.709333730188&{}:{}&-0.203238402653&,\\C^{\prime\prime}_{\mathbf{4a}}&{}\approx{}&2.532368140490&{}:{}&-0.012705210514&{}:{}&-1.519662929976&,\\[.5em] A^{\prime\prime}_{\mathbf{5a}}&{}\approx{}&2.221888000710&{}:{}&-0.015865964599&{}:{}&-1.206022036111&,\\B^{\prime\prime}_{\mathbf{5a}}&{}\approx{}&1.432743521885&{}:{}&-0.280493836866&{}:{}&-0.152249685018&,\\C^{\prime\prime}_{\mathbf{5a}}&{}\approx{}&1.466634479794&{}:{}&-0.002050317308&{}:{}&-0.464584162486&,\\[.5em] A^{\prime\prime}_{\mathbf{6a}}&{}\approx{}&1.188190960236&{}:{}&-0.152249685018&{}:{}&-0.035941275217&,\\B^{\prime\prime}_{\mathbf{6a}}&{}\approx{}&1.042034819518&{}:{}&-0.040800651367&{}:{}&-0.001234168150&,\\C^{\prime\prime}_{\mathbf{6a}}&{}\approx{}&1.073388543238&{}:{}&-0.005385325770&{}:{}&-0.068003217469&,\\[.5em] A^{\prime\prime}_{\mathbf{7a}}&{}\approx{}&1.142781732050&{}:{}&-0.077295734720&{}:{}&-0.065485997329&,\\B^{\prime\prime}_{\mathbf{7a}}&{}\approx{}&1.022341000179&{}:{}&-0.021130157050&{}:{}&-0.001210843129&,\\C^{\prime\prime}_{\mathbf{7a}}&{}\approx{}&1.036097808054&{}:{}&-0.001448438106&{}:{}&-0.034649369948&,\\[.5em] A^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.482947614758&{}:{}&-0.586162603175&{}:{}&1.103214988417&,\\B^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.677353438913&{}:{}&-0.251216481318&{}:{}&0.573863042405&,\\C^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.869601363923&{}:{}&-0.391445299440&{}:{}&0.521843935517&,\\[.5em] A^{\prime\prime}_{\mathbf{1b}}&{}\approx{}&0.638920185343&{}:{}&-0.409342438319&{}:{}&0.770422252976&,\\B^{\prime\prime}_{\mathbf{1b}}&{}\approx{}&0.961266679393&{}:{}&-0.188190960236&{}:{}&0.226924280842&,\\C^{\prime\prime}_{\mathbf{1b}}&{}\approx{}&0.839390426438&{}:{}&-0.105283192248&{}:{}&0.265892765810&,\\[.5em] A^{\prime\prime}_{\mathbf{2b}}&{}\approx{}&-0.709333730188&{}:{}&1.912572132841&{}:{}&-0.203238402653&,\\B^{\prime\prime}_{\mathbf{2b}}&{}\approx{}&-0.019326528304&{}:{}&1.428668966623&{}:{}&-0.409342438319&,\\C^{\prime\prime}_{\mathbf{2b}}&{}\approx{}&-0.012705210514&{}:{}&2.532368140490&{}:{}&-1.519662929976&,\\[.5em] A^{\prime\prime}_{\mathbf{3b}}&{}\approx{}&-0.280493836866&{}:{}&1.432743521885&{}:{}&-0.152249685018&,\\B^{\prime\prime}_{\mathbf{3b}}&{}\approx{}&-0.015865964599&{}:{}&2.221888000710&{}:{}&-1.206022036111&,\\C^{\prime\prime}_{\mathbf{3b}}&{}\approx{}&-0.002050317308&{}:{}&1.466634479794&{}:{}&-0.464584162486&,\\[.5em] A^{\prime\prime}_{\mathbf{4b}}&{}\approx{}&0.044425859367&{}:{}&-0.005692538760&{}:{}&0.961266679393&,\\B^{\prime\prime}_{\mathbf{4b}}&{}\approx{}&0.013605417206&{}:{}&-0.047796112540&{}:{}&1.034190695334&,\\C^{\prime\prime}_{\mathbf{4b}}&{}\approx{}&0.160409530808&{}:{}&-0.072207288794&{}:{}&0.911797757986&,\\[.5em] A^{\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.080945144273&{}:{}&-0.005474986363&{}:{}&0.924529842089&,\\B^{\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.049198210466&{}:{}&-0.091233029983&{}:{}&1.042034819518&,\\C^{\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.258061203014&{}:{}&-0.032368140490&{}:{}&0.774306937476&,\\[.5em] A^{\prime\prime}_{\mathbf{6b}}&{}\approx{}&-0.040800651367&{}:{}&1.042034819518&{}:{}&-0.001234168150&,\\B^{\prime\prime}_{\mathbf{6b}}&{}\approx{}&-0.152249685018&{}:{}&1.188190960236&{}:{}&-0.035941275217&,\\C^{\prime\prime}_{\mathbf{6b}}&{}\approx{}&-0.005385325770&{}:{}&1.073388543238&{}:{}&-0.068003217469&,\\[.5em] A^{\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.021130157050&{}:{}&1.022341000179&{}:{}&-0.001210843129&,\\B^{\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.077295734720&{}:{}&1.142781732050&{}:{}&-0.065485997329&,\\C^{\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.001448438106&{}:{}&1.036097808054&{}:{}&-0.034649369948&,\\[.5em] A^{\prime\prime}_{\mathbf{c}}&{}\approx{}&1.188190960236&{}:{}&1.886592083569&{}:{}&-2.074783043805&,\\B^{\prime\prime}_{\mathbf{c}}&{}\approx{}&1.886592083569&{}:{}&1.188190960236&{}:{}&-2.074783043805&,\\C^{\prime\prime}_{\mathbf{c}}&{}\approx{}&1.019420884294&{}:{}&1.019420884294&{}:{}&-1.038841768588&,\\[.5em] A^{\prime\prime}_{\mathbf{1c}}&{}\approx{}&-2.164916786573&{}:{}&-0.892410626985&{}:{}&4.057327413558&,\\B^{\prime\prime}_{\mathbf{1c}}&{}\approx{}&-0.892410626985&{}:{}&-2.164916786573&{}:{}&4.057327413558&,\\C^{\prime\prime}_{\mathbf{1c}}&{}\approx{}&-0.519420884294&{}:{}&-0.519420884294&{}:{}&2.038841768588&,\\[.5em] A^{\prime\prime}_{\mathbf{2c}}&{}\approx{}&1.091233029983&{}:{}&0.914600318267&{}:{}&-1.005833348250&,\\B^{\prime\prime}_{\mathbf{2c}}&{}\approx{}&0.974642045998&{}:{}&0.324022717861&{}:{}&-0.298664763859&,\\C^{\prime\prime}_{\mathbf{2c}}&{}\approx{}&1.350037581612&{}:{}&0.376175079263&{}:{}&-0.726212660875&,\\[.5em] A^{\prime\prime}_{\mathbf{3c}}&{}\approx{}&-0.565136205662&{}:{}&-0.441320981499&{}:{}&2.006457187161&,\\B^{\prime\prime}_{\mathbf{3c}}&{}\approx{}&-0.093275513974&{}:{}&-0.428668966623&{}:{}&1.521944480596&,\\C^{\prime\prime}_{\mathbf{3c}}&{}\approx{}&-0.351223359719&{}:{}&-1.260489493588&{}:{}&2.611712853306&,\\[.5em] A^{\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.324022717861&{}:{}&0.974642045998&{}:{}&-0.298664763859&,\\B^{\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.914600318267&{}:{}&1.091233029983&{}:{}&-1.005833348250&,\\C^{\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.376175079263&{}:{}&1.350037581612&{}:{}&-0.726212660875&,\\[.5em] A^{\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.428668966623&{}:{}&-0.093275513974&{}:{}&1.521944480596&,\\B^{\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.441320981499&{}:{}&-0.565136205662&{}:{}&2.006457187161&,\\C^{\prime\prime}_{\mathbf{5c}}&{}\approx{}&-1.260489493588&{}:{}&-0.351223359719&{}:{}&2.611712853306&,\\[.5em] A^{\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.475911333036&{}:{}&0.755644995994&{}:{}&-0.231556329031&,\\B^{\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.755644995994&{}:{}&0.475911333036&{}:{}&-0.231556329031&,\\C^{\prime\prime}_{\mathbf{6c}}&{}\approx{}&1.019420884294&{}:{}&1.019420884294&{}:{}&-1.038841768588&,\\[.5em] A^{\prime\prime}_{\mathbf{7c}}&{}\approx{}&-0.188190960236&{}:{}&-0.077575089194&{}:{}&1.265766049430&,\\B^{\prime\prime}_{\mathbf{7c}}&{}\approx{}&-0.077575089194&{}:{}&-0.188190960236&{}:{}&1.265766049430&,\\C^{\prime\prime}_{\mathbf{7c}}&{}\approx{}&-0.519420884294&{}:{}&-0.519420884294&{}:{}&2.038841768588&. \end{alignedat} \] \[ \begin{alignedat}{4} A^{\prime\prime\prime}&{}\approx{}&0.107344296000&{}:{}&0.233535084212&{}:{}&0.659120619788&,\\B^{\prime\prime\prime}&{}\approx{}&0.233535084212&{}:{}&0.107344296000&{}:{}&0.659120619788&,\\C^{\prime\prime\prime}&{}\approx{}&0.364467536191&{}:{}&0.364467536191&{}:{}&0.271064927618&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{1}}&{}\approx{}&0.034376006746&{}:{}&-0.006035412850&{}:{}&0.971659406104&,\\B^{\prime\prime\prime}_{\mathbf{1}}&{}\approx{}&-0.006035412850&{}:{}&0.034376006746&{}:{}&0.971659406104&,\\C^{\prime\prime\prime}_{\mathbf{1}}&{}\approx{}&-0.138583532638&{}:{}&-0.138583532638&{}:{}&1.277167065277&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{2}}&{}\approx{}&0.007989402253&{}:{}&1.003382813462&{}:{}&-0.011372215715&,\\B^{\prime\prime\prime}_{\mathbf{2}}&{}\approx{}&0.684902589423&{}:{}&-0.744185273675&{}:{}&1.059282684252&,\\C^{\prime\prime\prime}_{\mathbf{2}}&{}\approx{}&-0.007287681342&{}:{}&0.994475317049&{}:{}&0.012812364293&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&0.031253684772&{}:{}&0.995886498846&{}:{}&-0.027140183618&,\\B^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&1.155262692143&{}:{}&-1.179659626960&{}:{}&1.024396934817&,\\C^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&-0.030129798552&{}:{}&0.980349231892&{}:{}&0.049780566660&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{4}}&{}\approx{}&-0.744185273675&{}:{}&0.684902589423&{}:{}&1.059282684252&,\\B^{\prime\prime\prime}_{\mathbf{4}}&{}\approx{}&1.003382813462&{}:{}&0.007989402253&{}:{}&-0.011372215715&,\\C^{\prime\prime\prime}_{\mathbf{4}}&{}\approx{}&0.994475317049&{}:{}&-0.007287681342&{}:{}&0.012812364293&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&-1.179659626960&{}:{}&1.155262692143&{}:{}&1.024396934817&,\\B^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.995886498846&{}:{}&0.031253684772&{}:{}&-0.027140183618&,\\C^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.980349231892&{}:{}&-0.030129798552&{}:{}&0.049780566660&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&0.640033295438&{}:{}&1.392437559508&{}:{}&-1.032470854946&,\\B^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&1.392437559508&{}:{}&0.640033295438&{}:{}&-1.032470854946&,\\C^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&0.364467536191&{}:{}&0.364467536191&{}:{}&0.271064927618&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&-1.290657256567&{}:{}&0.226601345782&{}:{}&2.064055910785&,\\B^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&0.226601345782&{}:{}&-1.290657256567&{}:{}&2.064055910785&,\\C^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&-0.138583532638&{}:{}&-0.138583532638&{}:{}&1.277167065277&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.157648462322&{}:{}&0.692484678091&{}:{}&0.465163784231&,\\B^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.565724688594&{}:{}&0.396321830444&{}:{}&1.169402858151&,\\C^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.311451084882&{}:{}&0.958413981388&{}:{}&0.353037103494&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.110994332240&{}:{}&1.022908731440&{}:{}&0.088085600801&,\\B^{\prime\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.186052248131&{}:{}&0.661267438022&{}:{}&0.524784810110&,\\C^{\prime\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.026662490618&{}:{}&0.873331277549&{}:{}&0.153331213069&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{2a}}&{}\approx{}&-0.024859312882&{}:{}&-0.010706642079&{}:{}&1.035565954961&,\\B^{\prime\prime\prime}_{\mathbf{2a}}&{}\approx{}&0.017136291077&{}:{}&0.023041054567&{}:{}&0.959822654356&,\\C^{\prime\prime\prime}_{\mathbf{2a}}&{}\approx{}&0.385137441858&{}:{}&-0.223031100575&{}:{}&0.837893658717&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{3a}}&{}\approx{}&-0.049251740217&{}:{}&0.003867124331&{}:{}&1.045384615886&,\\B^{\prime\prime\prime}_{\mathbf{3a}}&{}\approx{}&0.037450038923&{}:{}&0.043308684537&{}:{}&0.919241276541&,\\C^{\prime\prime\prime}_{\mathbf{3a}}&{}\approx{}&0.337614478500&{}:{}&0.030655636465&{}:{}&0.631729885035&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{4a}}&{}\approx{}&0.331352024068&{}:{}&0.322387198176&{}:{}&0.346260777755&,\\B^{\prime\prime\prime}_{\mathbf{4a}}&{}\approx{}&0.989860760290&{}:{}&-0.225347984887&{}:{}&0.235487224597&,\\C^{\prime\prime\prime}_{\mathbf{4a}}&{}\approx{}&1.172138645344&{}:{}&0.259625123008&{}:{}&-0.431763768352&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{5a}}&{}\approx{}&0.397113876604&{}:{}&0.391442488392&{}:{}&0.211443635003&,\\B^{\prime\prime\prime}_{\mathbf{5a}}&{}\approx{}&1.053444473822&{}:{}&-0.114307721041&{}:{}&0.060863247219&,\\C^{\prime\prime\prime}_{\mathbf{5a}}&{}\approx{}&1.073665974494&{}:{}&0.114838102404&{}:{}&-0.188504076898&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{6a}}&{}\approx{}&0.302914176007&{}:{}&0.225285933699&{}:{}&0.471799890295&,\\B^{\prime\prime\prime}_{\mathbf{6a}}&{}\approx{}&0.988989512303&{}:{}&-0.019748460208&{}:{}&0.030758947905&,\\C^{\prime\prime\prime}_{\mathbf{6a}}&{}\approx{}&1.017768622871&{}:{}&0.015114893409&{}:{}&-0.032883516280&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{7a}}&{}\approx{}&0.296898937875&{}:{}&0.256735500016&{}:{}&0.446365562109&,\\B^{\prime\prime\prime}_{\mathbf{7a}}&{}\approx{}&0.994770659288&{}:{}&-0.010387507654&{}:{}&0.015616848366&,\\C^{\prime\prime\prime}_{\mathbf{7a}}&{}\approx{}&1.007928519814&{}:{}&0.009101131810&{}:{}&-0.017029651624&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.396321830444&{}:{}&-0.565724688594&{}:{}&1.169402858151&,\\B^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.692484678091&{}:{}&-0.157648462322&{}:{}&0.465163784231&,\\C^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.958413981388&{}:{}&-0.311451084882&{}:{}&0.353037103494&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{1b}}&{}\approx{}&0.661267438022&{}:{}&-0.186052248131&{}:{}&0.524784810110&,\\B^{\prime\prime\prime}_{\mathbf{1b}}&{}\approx{}&1.022908731440&{}:{}&-0.110994332240&{}:{}&0.088085600801&,\\C^{\prime\prime\prime}_{\mathbf{1b}}&{}\approx{}&0.873331277549&{}:{}&-0.026662490618&{}:{}&0.153331213069&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{2b}}&{}\approx{}&-0.225347984887&{}:{}&0.989860760290&{}:{}&0.235487224597&,\\B^{\prime\prime\prime}_{\mathbf{2b}}&{}\approx{}&0.322387198176&{}:{}&0.331352024068&{}:{}&0.346260777755&,\\C^{\prime\prime\prime}_{\mathbf{2b}}&{}\approx{}&0.259625123008&{}:{}&1.172138645344&{}:{}&-0.431763768352&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{3b}}&{}\approx{}&-0.114307721041&{}:{}&1.053444473822&{}:{}&0.060863247219&,\\B^{\prime\prime\prime}_{\mathbf{3b}}&{}\approx{}&0.391442488392&{}:{}&0.397113876604&{}:{}&0.211443635003&,\\C^{\prime\prime\prime}_{\mathbf{3b}}&{}\approx{}&0.114838102404&{}:{}&1.073665974494&{}:{}&-0.188504076898&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{4b}}&{}\approx{}&0.023041054567&{}:{}&0.017136291077&{}:{}&0.959822654356&,\\B^{\prime\prime\prime}_{\mathbf{4b}}&{}\approx{}&-0.010706642079&{}:{}&-0.024859312882&{}:{}&1.035565954961&,\\C^{\prime\prime\prime}_{\mathbf{4b}}&{}\approx{}&-0.223031100575&{}:{}&0.385137441858&{}:{}&0.837893658717&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.043308684537&{}:{}&0.037450038923&{}:{}&0.919241276541&,\\B^{\prime\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.003867124331&{}:{}&-0.049251740217&{}:{}&1.045384615886&,\\C^{\prime\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.030655636465&{}:{}&0.337614478500&{}:{}&0.631729885035&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{6b}}&{}\approx{}&-0.019748460208&{}:{}&0.988989512303&{}:{}&0.030758947905&,\\B^{\prime\prime\prime}_{\mathbf{6b}}&{}\approx{}&0.225285933699&{}:{}&0.302914176007&{}:{}&0.471799890295&,\\C^{\prime\prime\prime}_{\mathbf{6b}}&{}\approx{}&0.015114893409&{}:{}&1.017768622871&{}:{}&-0.032883516280&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.010387507654&{}:{}&0.994770659288&{}:{}&0.015616848366&,\\B^{\prime\prime\prime}_{\mathbf{7b}}&{}\approx{}&0.256735500016&{}:{}&0.296898937875&{}:{}&0.446365562109&,\\C^{\prime\prime\prime}_{\mathbf{7b}}&{}\approx{}&0.009101131810&{}:{}&1.007928519814&{}:{}&-0.017029651624&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{c}}&{}\approx{}&0.768482912340&{}:{}&1.671888757365&{}:{}&-1.440371669705&,\\B^{\prime\prime\prime}_{\mathbf{c}}&{}\approx{}&1.671888757365&{}:{}&0.768482912340&{}:{}&-1.440371669705&,\\C^{\prime\prime\prime}_{\mathbf{c}}&{}\approx{}&0.796006335767&{}:{}&0.796006335767&{}:{}&-0.592012671535&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{1c}}&{}\approx{}&-0.765820483455&{}:{}&0.134455488702&{}:{}&1.631364994753&,\\B^{\prime\prime\prime}_{\mathbf{1c}}&{}\approx{}&0.134455488702&{}:{}&-0.765820483455&{}:{}&1.631364994753&,\\C^{\prime\prime\prime}_{\mathbf{1c}}&{}\approx{}&0.089159421976&{}:{}&0.089159421976&{}:{}&0.821681156047&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{2c}}&{}\approx{}&0.689263914804&{}:{}&0.466128157335&{}:{}&-0.155392072140&,\\B^{\prime\prime\prime}_{\mathbf{2c}}&{}\approx{}&0.866235812819&{}:{}&0.172698426755&{}:{}&-0.038934239574&,\\C^{\prime\prime\prime}_{\mathbf{2c}}&{}\approx{}&1.231157622459&{}:{}&0.165991443027&{}:{}&-0.397149065486&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{3c}}&{}\approx{}&-0.255041151455&{}:{}&-0.143287641338&{}:{}&1.398328792793&,\\B^{\prime\prime\prime}_{\mathbf{3c}}&{}\approx{}&0.111898045574&{}:{}&-0.198115099714&{}:{}&1.086217054140&,\\C^{\prime\prime\prime}_{\mathbf{3c}}&{}\approx{}&0.348429596207&{}:{}&-0.346584061832&{}:{}&0.998154465624&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.172698426755&{}:{}&0.866235812819&{}:{}&-0.038934239574&,\\B^{\prime\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.466128157335&{}:{}&0.689263914804&{}:{}&-0.155392072140&,\\C^{\prime\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.165991443027&{}:{}&1.231157622459&{}:{}&-0.397149065486&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.198115099714&{}:{}&0.111898045574&{}:{}&1.086217054140&,\\B^{\prime\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.143287641338&{}:{}&-0.255041151455&{}:{}&1.398328792793&,\\C^{\prime\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.346584061832&{}:{}&0.348429596207&{}:{}&0.998154465624&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.261746017743&{}:{}&0.569446915894&{}:{}&0.168807066363&,\\B^{\prime\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.569446915894&{}:{}&0.261746017743&{}:{}&0.168807066363&,\\C^{\prime\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.796006335767&{}:{}&0.796006335767&{}:{}&-0.592012671535&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{7c}}&{}\approx{}&-0.090830901682&{}:{}&0.015947227240&{}:{}&1.074883674442&,\\B^{\prime\prime\prime}_{\mathbf{7c}}&{}\approx{}&0.015947227240&{}:{}&-0.090830901682&{}:{}&1.074883674442&,\\C^{\prime\prime\prime}_{\mathbf{7c}}&{}\approx{}&0.089159421976&{}:{}&0.089159421976&{}:{}&0.821681156047&. \end{alignedat} \] \[ \begin{alignedat}{4} A^*&{}\approx{}&0.000000000000&{}:{}&0.237134443940&{}:{}&0.762865556060&,\\B^*&{}\approx{}&0.237134443940&{}:{}&0.000000000000&{}:{}&0.762865556060&,\\C^*&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{1}}&{}\approx{}&0.000000000000&{}:{}&-0.087785252292&{}:{}&1.087785252292&,\\B^*_{\mathbf{1}}&{}\approx{}&-0.087785252292&{}:{}&0.000000000000&{}:{}&1.087785252292&,\\C^*_{\mathbf{1}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{2}}&{}\approx{}&0.000000000000&{}:{}&1.087785252292&{}:{}&-0.087785252292&,\\B^*_{\mathbf{2}}&{}\approx{}&0.237134443940&{}:{}&0.000000000000&{}:{}&0.762865556060&,\\C^*_{\mathbf{2}}&{}\approx{}&-0.025731112119&{}:{}&1.025731112119&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{3}}&{}\approx{}&0.000000000000&{}:{}&0.762865556060&{}:{}&0.237134443940&,\\B^*_{\mathbf{3}}&{}\approx{}&-0.087785252292&{}:{}&0.000000000000&{}:{}&1.087785252292&,\\C^*_{\mathbf{3}}&{}\approx{}&-0.025731112119&{}:{}&1.025731112119&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{4}}&{}\approx{}&0.000000000000&{}:{}&0.237134443940&{}:{}&0.762865556060&,\\B^*_{\mathbf{4}}&{}\approx{}&1.087785252292&{}:{}&0.000000000000&{}:{}&-0.087785252292&,\\C^*_{\mathbf{4}}&{}\approx{}&1.025731112119&{}:{}&-0.025731112119&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{5}}&{}\approx{}&0.000000000000&{}:{}&-0.087785252292&{}:{}&1.087785252292&,\\B^*_{\mathbf{5}}&{}\approx{}&0.762865556060&{}:{}&0.000000000000&{}:{}&0.237134443940&,\\C^*_{\mathbf{5}}&{}\approx{}&1.025731112119&{}:{}&-0.025731112119&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{6}}&{}\approx{}&0.000000000000&{}:{}&1.087785252292&{}:{}&-0.087785252292&,\\B^*_{\mathbf{6}}&{}\approx{}&1.087785252292&{}:{}&0.000000000000&{}:{}&-0.087785252292&,\\C^*_{\mathbf{6}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{7}}&{}\approx{}&0.000000000000&{}:{}&0.762865556060&{}:{}&0.237134443940&,\\B^*_{\mathbf{7}}&{}\approx{}&0.762865556060&{}:{}&0.000000000000&{}:{}&0.237134443940&,\\C^*_{\mathbf{7}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{a}}&{}\approx{}&0.000000000000&{}:{}&0.690983005625&{}:{}&0.309016994375&,\\B^*_{\mathbf{a}}&{}\approx{}&-0.951056516295&{}:{}&0.000000000000&{}:{}&1.951056516295&,\\C^*_{\mathbf{a}}&{}\approx{}&-0.278768257918&{}:{}&1.278768257918&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{1a}}&{}\approx{}&0.000000000000&{}:{}&1.309016994375&{}:{}&-0.309016994375&,\\B^*_{\mathbf{1a}}&{}\approx{}&-0.951056516295&{}:{}&0.000000000000&{}:{}&1.951056516295&,\\C^*_{\mathbf{1a}}&{}\approx{}&0.103197753333&{}:{}&0.896802246667&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{2a}}&{}\approx{}&0.000000000000&{}:{}&-0.309016994375&{}:{}&1.309016994375&,\\B^*_{\mathbf{2a}}&{}\approx{}&0.048943483705&{}:{}&0.000000000000&{}:{}&0.951056516295&,\\C^*_{\mathbf{2a}}&{}\approx{}&-0.278768257918&{}:{}&1.278768257918&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{3a}}&{}\approx{}&0.000000000000&{}:{}&0.309016994375&{}:{}&0.690983005625&,\\B^*_{\mathbf{3a}}&{}\approx{}&0.048943483705&{}:{}&0.000000000000&{}:{}&0.951056516295&,\\C^*_{\mathbf{3a}}&{}\approx{}&0.103197753333&{}:{}&0.896802246667&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{4a}}&{}\approx{}&0.000000000000&{}:{}&0.309016994375&{}:{}&0.690983005625&,\\B^*_{\mathbf{4a}}&{}\approx{}&1.951056516295&{}:{}&0.000000000000&{}:{}&-0.951056516295&,\\C^*_{\mathbf{4a}}&{}\approx{}&1.278768257918&{}:{}&-0.278768257918&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{5a}}&{}\approx{}&0.000000000000&{}:{}&-0.309016994375&{}:{}&1.309016994375&,\\B^*_{\mathbf{5a}}&{}\approx{}&1.951056516295&{}:{}&0.000000000000&{}:{}&-0.951056516295&,\\C^*_{\mathbf{5a}}&{}\approx{}&0.896802246667&{}:{}&0.103197753333&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{6a}}&{}\approx{}&0.000000000000&{}:{}&1.309016994375&{}:{}&-0.309016994375&,\\B^*_{\mathbf{6a}}&{}\approx{}&0.951056516295&{}:{}&0.000000000000&{}:{}&0.048943483705&,\\C^*_{\mathbf{6a}}&{}\approx{}&1.278768257918&{}:{}&-0.278768257918&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{7a}}&{}\approx{}&0.000000000000&{}:{}&0.690983005625&{}:{}&0.309016994375&,\\B^*_{\mathbf{7a}}&{}\approx{}&0.951056516295&{}:{}&0.000000000000&{}:{}&0.048943483705&,\\C^*_{\mathbf{7a}}&{}\approx{}&0.896802246667&{}:{}&0.103197753333&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{b}}&{}\approx{}&0.000000000000&{}:{}&-0.951056516295&{}:{}&1.951056516295&,\\B^*_{\mathbf{b}}&{}\approx{}&0.690983005625&{}:{}&0.000000000000&{}:{}&0.309016994375&,\\C^*_{\mathbf{b}}&{}\approx{}&1.278768257918&{}:{}&-0.278768257918&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{1b}}&{}\approx{}&0.000000000000&{}:{}&-0.951056516295&{}:{}&1.951056516295&,\\B^*_{\mathbf{1b}}&{}\approx{}&1.309016994375&{}:{}&0.000000000000&{}:{}&-0.309016994375&,\\C^*_{\mathbf{1b}}&{}\approx{}&0.896802246667&{}:{}&0.103197753333&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{2b}}&{}\approx{}&0.000000000000&{}:{}&1.951056516295&{}:{}&-0.951056516295&,\\B^*_{\mathbf{2b}}&{}\approx{}&0.309016994375&{}:{}&0.000000000000&{}:{}&0.690983005625&,\\C^*_{\mathbf{2b}}&{}\approx{}&-0.278768257918&{}:{}&1.278768257918&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{3b}}&{}\approx{}&0.000000000000&{}:{}&1.951056516295&{}:{}&-0.951056516295&,\\B^*_{\mathbf{3b}}&{}\approx{}&-0.309016994375&{}:{}&0.000000000000&{}:{}&1.309016994375&,\\C^*_{\mathbf{3b}}&{}\approx{}&0.103197753333&{}:{}&0.896802246667&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{4b}}&{}\approx{}&0.000000000000&{}:{}&0.048943483705&{}:{}&0.951056516295&,\\B^*_{\mathbf{4b}}&{}\approx{}&-0.309016994375&{}:{}&0.000000000000&{}:{}&1.309016994375&,\\C^*_{\mathbf{4b}}&{}\approx{}&1.278768257918&{}:{}&-0.278768257918&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{5b}}&{}\approx{}&0.000000000000&{}:{}&0.048943483705&{}:{}&0.951056516295&,\\B^*_{\mathbf{5b}}&{}\approx{}&0.309016994375&{}:{}&0.000000000000&{}:{}&0.690983005625&,\\C^*_{\mathbf{5b}}&{}\approx{}&0.896802246667&{}:{}&0.103197753333&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{6b}}&{}\approx{}&0.000000000000&{}:{}&0.951056516295&{}:{}&0.048943483705&,\\B^*_{\mathbf{6b}}&{}\approx{}&1.309016994375&{}:{}&0.000000000000&{}:{}&-0.309016994375&,\\C^*_{\mathbf{6b}}&{}\approx{}&-0.278768257918&{}:{}&1.278768257918&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{7b}}&{}\approx{}&0.000000000000&{}:{}&0.951056516295&{}:{}&0.048943483705&,\\B^*_{\mathbf{7b}}&{}\approx{}&0.690983005625&{}:{}&0.000000000000&{}:{}&0.309016994375&,\\C^*_{\mathbf{7b}}&{}\approx{}&0.103197753333&{}:{}&0.896802246667&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{c}}&{}\approx{}&0.000000000000&{}:{}&3.347858762963&{}:{}&-2.347858762963&,\\B^*_{\mathbf{c}}&{}\approx{}&3.347858762963&{}:{}&0.000000000000&{}:{}&-2.347858762963&,\\C^*_{\mathbf{c}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{1c}}&{}\approx{}&0.000000000000&{}:{}&-2.347858762963&{}:{}&3.347858762963&,\\B^*_{\mathbf{1c}}&{}\approx{}&-2.347858762963&{}:{}&0.000000000000&{}:{}&3.347858762963&,\\C^*_{\mathbf{1c}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{2c}}&{}\approx{}&0.000000000000&{}:{}&3.347858762963&{}:{}&-2.347858762963&,\\B^*_{\mathbf{2c}}&{}\approx{}&0.729824774213&{}:{}&0.000000000000&{}:{}&0.270175225787&,\\C^*_{\mathbf{2c}}&{}\approx{}&2.118033988750&{}:{}&-1.118033988750&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{3c}}&{}\approx{}&0.000000000000&{}:{}&-2.347858762963&{}:{}&3.347858762963&,\\B^*_{\mathbf{3c}}&{}\approx{}&0.270175225787&{}:{}&0.000000000000&{}:{}&0.729824774213&,\\C^*_{\mathbf{3c}}&{}\approx{}&-1.118033988750&{}:{}&2.118033988750&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{4c}}&{}\approx{}&0.000000000000&{}:{}&0.729824774213&{}:{}&0.270175225787&,\\B^*_{\mathbf{4c}}&{}\approx{}&3.347858762963&{}:{}&0.000000000000&{}:{}&-2.347858762963&,\\C^*_{\mathbf{4c}}&{}\approx{}&-1.118033988750&{}:{}&2.118033988750&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{5c}}&{}\approx{}&0.000000000000&{}:{}&0.270175225787&{}:{}&0.729824774213&,\\B^*_{\mathbf{5c}}&{}\approx{}&-2.347858762963&{}:{}&0.000000000000&{}:{}&3.347858762963&,\\C^*_{\mathbf{5c}}&{}\approx{}&2.118033988750&{}:{}&-1.118033988750&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{6c}}&{}\approx{}&0.000000000000&{}:{}&0.729824774213&{}:{}&0.270175225787&,\\B^*_{\mathbf{6c}}&{}\approx{}&0.729824774213&{}:{}&0.000000000000&{}:{}&0.270175225787&,\\C^*_{\mathbf{6c}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{7c}}&{}\approx{}&0.000000000000&{}:{}&0.270175225787&{}:{}&0.729824774213&,\\B^*_{\mathbf{7c}}&{}\approx{}&0.270175225787&{}:{}&0.000000000000&{}:{}&0.729824774213&,\\C^*_{\mathbf{7c}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&. \end{alignedat} \]