Derousseau's Generalization of the Malfatti circles

\[ \begin{alignedat}{4} I&{}\approx{}&0.292893218813&{}:{}&0.292893218813&{}:{}&0.414213562373&,\\ I_{\mathbf{a}}&{}\approx{}&-0.707106781187&{}:{}&0.707106781187&{}:{}&1.000000000000&,\\ I_{\mathbf{b}}&{}\approx{}&0.707106781187&{}:{}&-0.707106781187&{}:{}&1.000000000000&,\\ I_{\mathbf{c}}&{}\approx{}&1.707106781187&{}:{}&1.707106781187&{}:{}&-2.414213562373&. \end{alignedat} \] \[ \begin{alignedat}{4} P&{}\approx{}&0.263422843010&{}:{}&0.263422843010&{}:{}&0.473154313981&,\\ P_{\mathbf{1}}&{}\approx{}&0.015868689191&{}:{}&0.015868689191&{}:{}&0.968262621619&,\\ P_{\mathbf{2}}&{}\approx{}&0.001558655842&{}:{}&0.995641720833&{}:{}&0.002799623325&,\\ P_{\mathbf{3}}&{}\approx{}&0.001426941760&{}:{}&0.911505099919&{}:{}&0.087067958321&,\\ P_{\mathbf{4}}&{}\approx{}&0.995641720833&{}:{}&0.001558655842&{}:{}&0.002799623325&,\\ P_{\mathbf{5}}&{}\approx{}&0.911505099919&{}:{}&0.001426941760&{}:{}&0.087067958321&,\\ P_{\mathbf{6}}&{}\approx{}&0.499298017376&{}:{}&0.499298017376&{}:{}&0.001403965248&,\\ P_{\mathbf{7}}&{}\approx{}&0.477208273403&{}:{}&0.477208273403&{}:{}&0.045583453195&,\\ P_{\mathbf{a}}&{}\approx{}&-0.366005451906&{}:{}&0.708594513162&{}:{}&0.657410938744&,\\ P_{\mathbf{1a}}&{}\approx{}&-0.095157655782&{}:{}&0.924237568416&{}:{}&0.170920087366&,\\ P_{\mathbf{2a}}&{}\approx{}&-0.016141216526&{}:{}&0.031249746162&{}:{}&0.984891470364&,\\ P_{\mathbf{3a}}&{}\approx{}&-0.014341055345&{}:{}&0.139290338881&{}:{}&0.875050716464&,\\ P_{\mathbf{4a}}&{}\approx{}&1.124512942078&{}:{}&-0.017098243047&{}:{}&-0.107414699030&,\\ P_{\mathbf{5a}}&{}\approx{}&1.109326190582&{}:{}&-0.003362146569&{}:{}&-0.105964044013&,\\ P_{\mathbf{6a}}&{}\approx{}&1.018347463817&{}:{}&-0.015483994707&{}:{}&-0.002863469111&,\\ P_{\mathbf{7a}}&{}\approx{}&1.005877016473&{}:{}&-0.003048612742&{}:{}&-0.002828403731&,\\ P_{\mathbf{b}}&{}\approx{}&0.708594513162&{}:{}&-0.366005451906&{}:{}&0.657410938744&,\\ P_{\mathbf{1b}}&{}\approx{}&0.924237568416&{}:{}&-0.095157655782&{}:{}&0.170920087366&,\\ P_{\mathbf{2b}}&{}\approx{}&-0.017098243047&{}:{}&1.124512942078&{}:{}&-0.107414699030&,\\ P_{\mathbf{3b}}&{}\approx{}&-0.003362146569&{}:{}&1.109326190582&{}:{}&-0.105964044013&,\\ P_{\mathbf{4b}}&{}\approx{}&0.031249746162&{}:{}&-0.016141216526&{}:{}&0.984891470364&,\\ P_{\mathbf{5b}}&{}\approx{}&0.139290338881&{}:{}&-0.014341055345&{}:{}&0.875050716464&,\\ P_{\mathbf{6b}}&{}\approx{}&-0.015483994707&{}:{}&1.018347463817&{}:{}&-0.002863469111&,\\ P_{\mathbf{7b}}&{}\approx{}&-0.003048612742&{}:{}&1.005877016473&{}:{}&-0.002828403731&,\\ P_{\mathbf{c}}&{}\approx{}&0.932633521216&{}:{}&0.932633521216&{}:{}&-0.865267042431&,\\ P_{\mathbf{1c}}&{}\approx{}&-0.233524451931&{}:{}&-0.233524451931&{}:{}&1.467048903863&,\\ P_{\mathbf{2c}}&{}\approx{}&0.985806327657&{}:{}&0.196499725902&{}:{}&-0.182306053559&,\\ P_{\mathbf{3c}}&{}\approx{}&-0.039215763225&{}:{}&-0.196738938710&{}:{}&1.235954701934&,\\ P_{\mathbf{4c}}&{}\approx{}&0.196499725902&{}:{}&0.985806327657&{}:{}&-0.182306053559&,\\ P_{\mathbf{5c}}&{}\approx{}&-0.196738938710&{}:{}&-0.039215763225&{}:{}&1.235954701934&,\\ P_{\mathbf{6c}}&{}\approx{}&0.550943212689&{}:{}&0.550943212689&{}:{}&-0.101886425379&,\\ P_{\mathbf{7c}}&{}\approx{}&-0.033879030723&{}:{}&-0.033879030723&{}:{}&1.067758061446&. \end{alignedat} \] \[ \begin{alignedat}{4} P^-&{}\approx{}&0.252883322329&{}:{}&0.252883322329&{}:{}&0.494233355341&,\\ P^-_{\mathbf{1}}&{}\approx{}&-0.012364438447&{}:{}&-0.012364438447&{}:{}&1.024728876893&,\\ P^-_{\mathbf{2}}&{}\approx{}&-0.010388739502&{}:{}&1.024460869840&{}:{}&-0.014072130338&,\\ P^-_{\mathbf{3}}&{}\approx{}&-0.076145164814&{}:{}&1.076145164814&{}:{}&-0.000000000000&,\\ P^-_{\mathbf{4}}&{}\approx{}&1.024460869840&{}:{}&-0.010388739502&{}:{}&-0.014072130338&,\\ P^-_{\mathbf{5}}&{}\approx{}&1.076145164814&{}:{}&-0.076145164814&{}:{}&-0.000000000000&,\\ P^-_{\mathbf{6}}&{}\approx{}&0.705124058166&{}:{}&0.705124058166&{}:{}&-0.410248116331&,\\ P^-_{\mathbf{7}}&{}\approx{}&0.189425282639&{}:{}&0.189425282639&{}:{}&0.621149434723&,\\ P^-_{\mathbf{a}}&{}\approx{}&-0.274816438215&{}:{}&0.708992238998&{}:{}&0.565824199217&,\\ P^-_{\mathbf{1a}}&{}\approx{}&-0.009458955395&{}:{}&0.954645041042&{}:{}&0.054813914352&,\\ P^-_{\mathbf{2a}}&{}\approx{}&0.023471422383&{}:{}&-0.007496729859&{}:{}&0.984025307476&,\\ P^-_{\mathbf{3a}}&{}\approx{}&0.069450496314&{}:{}&0.070611680304&{}:{}&0.859937823381&,\\ P^-_{\mathbf{4a}}&{}\approx{}&0.665139629621&{}:{}&0.164533597151&{}:{}&0.170326773228&,\\ P^-_{\mathbf{5a}}&{}\approx{}&0.875924903275&{}:{}&0.087929062579&{}:{}&0.036146034145&,\\ P^-_{\mathbf{6a}}&{}\approx{}&0.933038226145&{}:{}&0.020242057386&{}:{}&0.046719716469&,\\ P^-_{\mathbf{7a}}&{}\approx{}&0.967466335890&{}:{}&0.012875386094&{}:{}&0.019658278016&,\\ P^-_{\mathbf{b}}&{}\approx{}&0.708992238998&{}:{}&-0.274816438215&{}:{}&0.565824199217&,\\ P^-_{\mathbf{1b}}&{}\approx{}&0.954645041042&{}:{}&-0.009458955395&{}:{}&0.054813914352&,\\ P^-_{\mathbf{2b}}&{}\approx{}&0.164533597151&{}:{}&0.665139629621&{}:{}&0.170326773228&,\\ P^-_{\mathbf{3b}}&{}\approx{}&0.087929062579&{}:{}&0.875924903275&{}:{}&0.036146034145&,\\ P^-_{\mathbf{4b}}&{}\approx{}&-0.007496729859&{}:{}&0.023471422383&{}:{}&0.984025307476&,\\ P^-_{\mathbf{5b}}&{}\approx{}&0.070611680304&{}:{}&0.069450496314&{}:{}&0.859937823381&,\\ P^-_{\mathbf{6b}}&{}\approx{}&0.020242057386&{}:{}&0.933038226145&{}:{}&0.046719716469&,\\ P^-_{\mathbf{7b}}&{}\approx{}&0.012875386094&{}:{}&0.967466335890&{}:{}&0.019658278016&,\\ P^-_{\mathbf{c}}&{}\approx{}&0.785098763416&{}:{}&0.785098763416&{}:{}&-0.570197526832&,\\ P^-_{\mathbf{1c}}&{}\approx{}&0.133865788615&{}:{}&0.133865788615&{}:{}&0.732268422770&,\\ P^-_{\mathbf{2c}}&{}\approx{}&0.926889262952&{}:{}&0.073110737048&{}:{}&0.000000000000&,\\ P^-_{\mathbf{3c}}&{}\approx{}&0.101789814961&{}:{}&-0.043014263180&{}:{}&0.941224448219&,\\ P^-_{\mathbf{4c}}&{}\approx{}&0.073110737048&{}:{}&0.926889262952&{}:{}&0.000000000000&,\\ P^-_{\mathbf{5c}}&{}\approx{}&-0.043014263180&{}:{}&0.101789814961&{}:{}&0.941224448219&,\\ P^-_{\mathbf{6c}}&{}\approx{}&0.430245455683&{}:{}&0.430245455683&{}:{}&0.139509088634&,\\ P^-_{\mathbf{7c}}&{}\approx{}&0.023171078678&{}:{}&0.023171078678&{}:{}&0.953657842645&. \end{alignedat} \] \[ \begin{alignedat}{4} P^+&{}\approx{}&0.269567397243&{}:{}&0.269567397243&{}:{}&0.460865205513&,\\ P^+_{\mathbf{1}}&{}\approx{}&0.039321417894&{}:{}&0.039321417894&{}:{}&0.921357164211&,\\ P^+_{\mathbf{2}}&{}\approx{}&0.012600423244&{}:{}&0.969007100408&{}:{}&0.018392476348&,\\ P^+_{\mathbf{3}}&{}\approx{}&0.052051935131&{}:{}&0.804057944463&{}:{}&0.143890120405&,\\ P^+_{\mathbf{4}}&{}\approx{}&0.969007100408&{}:{}&0.012600423244&{}:{}&0.018392476348&,\\ P^+_{\mathbf{5}}&{}\approx{}&0.804057944463&{}:{}&0.052051935131&{}:{}&0.143890120405&,\\ P^+_{\mathbf{6}}&{}\approx{}&0.430560844709&{}:{}&0.430560844709&{}:{}&0.138878310581&,\\ P^+_{\mathbf{7}}&{}\approx{}&0.341636102194&{}:{}&0.341636102194&{}:{}&0.316727795612&,\\ P^+_{\mathbf{a}}&{}\approx{}&-0.425424593061&{}:{}&0.708335353350&{}:{}&0.717089239711&,\\ P^+_{\mathbf{1a}}&{}\approx{}&-0.162105351339&{}:{}&0.900483296637&{}:{}&0.261622054702&,\\ P^+_{\mathbf{2a}}&{}\approx{}&-0.051679122071&{}:{}&0.066010586211&{}:{}&0.985668535859&,\\ P^+_{\mathbf{3a}}&{}\approx{}&-0.081811264100&{}:{}&0.194591420426&{}:{}&0.887219843673&,\\ P^+_{\mathbf{4a}}&{}\approx{}&2.046215225733&{}:{}&-0.381530562809&{}:{}&-0.664684662924&,\\ P^+_{\mathbf{5a}}&{}\approx{}&1.423455003042&{}:{}&-0.126228645930&{}:{}&-0.297226357112&,\\ P^+_{\mathbf{6a}}&{}\approx{}&1.113018032345&{}:{}&-0.055130412318&{}:{}&-0.057887620027&,\\ P^+_{\mathbf{7a}}&{}\approx{}&1.046091161492&{}:{}&-0.019720277726&{}:{}&-0.026370883766&,\\ P^+_{\mathbf{b}}&{}\approx{}&0.708335353350&{}:{}&-0.425424593061&{}:{}&0.717089239711&,\\ P^+_{\mathbf{1b}}&{}\approx{}&0.900483296637&{}:{}&-0.162105351339&{}:{}&0.261622054702&,\\ P^+_{\mathbf{2b}}&{}\approx{}&-0.381530562809&{}:{}&2.046215225733&{}:{}&-0.664684662924&,\\ P^+_{\mathbf{3b}}&{}\approx{}&-0.126228645930&{}:{}&1.423455003042&{}:{}&-0.297226357112&,\\ P^+_{\mathbf{4b}}&{}\approx{}&0.066010586211&{}:{}&-0.051679122071&{}:{}&0.985668535859&,\\ P^+_{\mathbf{5b}}&{}\approx{}&0.194591420426&{}:{}&-0.081811264100&{}:{}&0.887219843673&,\\ P^+_{\mathbf{6b}}&{}\approx{}&-0.055130412318&{}:{}&1.113018032345&{}:{}&-0.057887620027&,\\ P^+_{\mathbf{7b}}&{}\approx{}&-0.019720277726&{}:{}&1.046091161492&{}:{}&-0.026370883766&,\\ P^+_{\mathbf{c}}&{}\approx{}&1.039465830724&{}:{}&1.039465830724&{}:{}&-1.078931661448&,\\ P^+_{\mathbf{1c}}&{}\approx{}&-0.824782511313&{}:{}&-0.824782511313&{}:{}&2.649565022626&,\\ P^+_{\mathbf{2c}}&{}\approx{}&1.036450057944&{}:{}&0.302562013681&{}:{}&-0.339012071625&,\\ P^+_{\mathbf{3c}}&{}\approx{}&-0.207377550454&{}:{}&-0.380069389256&{}:{}&1.587446939711&,\\ P^+_{\mathbf{4c}}&{}\approx{}&0.302562013681&{}:{}&1.036450057944&{}:{}&-0.339012071625&,\\ P^+_{\mathbf{5c}}&{}\approx{}&-0.380069389256&{}:{}&-0.207377550454&{}:{}&1.587446939711&,\\ P^+_{\mathbf{6c}}&{}\approx{}&0.650793266398&{}:{}&0.650793266398&{}:{}&-0.301586532797&,\\ P^+_{\mathbf{7c}}&{}\approx{}&-0.094930300373&{}:{}&-0.094930300373&{}:{}&1.189860600745&. \end{alignedat} \] \[ \begin{alignedat}{4} Q&{}\approx{}&0.244954416660&{}:{}&0.244954416660&{}:{}&0.510091166680&,\\ Q_{\mathbf{1}}&{}\approx{}&-0.098647822610&{}:{}&-0.098647822610&{}:{}&1.197295645220&,\\ Q_{\mathbf{2}}&{}\approx{}&-0.045061790638&{}:{}&1.138898111994&{}:{}&-0.093836321356&,\\ Q_{\mathbf{3}}&{}\approx{}&-0.027464066764&{}:{}&0.694130733431&{}:{}&0.333333333333&,\\ Q_{\mathbf{4}}&{}\approx{}&1.138898111994&{}:{}&-0.045061790638&{}:{}&-0.093836321356&,\\ Q_{\mathbf{5}}&{}\approx{}&0.694130733431&{}:{}&-0.027464066764&{}:{}&0.333333333333&,\\ Q_{\mathbf{6}}&{}\approx{}&0.521483068724&{}:{}&0.521483068724&{}:{}&-0.042966137447&,\\ Q_{\mathbf{7}}&{}\approx{}&0.403190537839&{}:{}&0.403190537839&{}:{}&0.193618924323&,\\ Q_{\mathbf{a}}&{}\approx{}&-0.225146471905&{}:{}&0.756303214887&{}:{}&0.468843257019&,\\ Q_{\mathbf{1a}}&{}\approx{}&0.155242065312&{}:{}&1.168032800651&{}:{}&-0.323274865964&,\\ Q_{\mathbf{2a}}&{}\approx{}&0.102271340830&{}:{}&-0.343545884624&{}:{}&1.241274543794&,\\ Q_{\mathbf{3a}}&{}\approx{}&0.048400329332&{}:{}&0.364161428209&{}:{}&0.587438242459&,\\ Q_{\mathbf{4a}}&{}\approx{}&4.502685791374&{}:{}&-1.340419821139&{}:{}&-2.162265970234&,\\ Q_{\mathbf{5a}}&{}\approx{}&1.532116080188&{}:{}&0.203632007983&{}:{}&-0.735748088171&,\\ Q_{\mathbf{6a}}&{}\approx{}&1.274374312309&{}:{}&-0.379372815896&{}:{}&0.104998503587&,\\ Q_{\mathbf{7a}}&{}\approx{}&0.822841287509&{}:{}&0.109363008321&{}:{}&0.067795704169&,\\ Q_{\mathbf{b}}&{}\approx{}&0.756303214887&{}:{}&-0.225146471905&{}:{}&0.468843257019&,\\ Q_{\mathbf{1b}}&{}\approx{}&1.168032800651&{}:{}&0.155242065312&{}:{}&-0.323274865964&,\\ Q_{\mathbf{2b}}&{}\approx{}&-1.340419821139&{}:{}&4.502685791374&{}:{}&-2.162265970234&,\\ Q_{\mathbf{3b}}&{}\approx{}&0.203632007983&{}:{}&1.532116080188&{}:{}&-0.735748088171&,\\ Q_{\mathbf{4b}}&{}\approx{}&-0.343545884624&{}:{}&0.102271340830&{}:{}&1.241274543794&,\\ Q_{\mathbf{5b}}&{}\approx{}&0.364161428209&{}:{}&0.048400329332&{}:{}&0.587438242459&,\\ Q_{\mathbf{6b}}&{}\approx{}&-0.379372815896&{}:{}&1.274374312309&{}:{}&0.104998503587&,\\ Q_{\mathbf{7b}}&{}\approx{}&0.109363008321&{}:{}&0.822841287509&{}:{}&0.067795704169&,\\ Q_{\mathbf{c}}&{}\approx{}&0.724592737729&{}:{}&0.724592737729&{}:{}&-0.449185475457&,\\ Q_{\mathbf{1c}}&{}\approx{}&2.584820428417&{}:{}&2.584820428417&{}:{}&-4.169640856834&,\\ Q_{\mathbf{2c}}&{}\approx{}&1.204375309918&{}:{}&-0.537708643251&{}:{}&0.333333333333&,\\ Q_{\mathbf{3c}}&{}\approx{}&0.421354743656&{}:{}&-0.943762493583&{}:{}&1.522407749927&,\\ Q_{\mathbf{4c}}&{}\approx{}&-0.537708643251&{}:{}&1.204375309918&{}:{}&0.333333333333&,\\ Q_{\mathbf{5c}}&{}\approx{}&-0.943762493583&{}:{}&0.421354743656&{}:{}&1.522407749927&,\\ Q_{\mathbf{6c}}&{}\approx{}&0.439218977423&{}:{}&0.439218977423&{}:{}&0.121562045155&,\\ Q_{\mathbf{7c}}&{}\approx{}&0.178153850905&{}:{}&0.178153850905&{}:{}&0.643692298190&. \end{alignedat} \] \[ \begin{alignedat}{4} I^\prime&{}\approx{}&0.278257463541&{}:{}&0.278257463541&{}:{}&0.443485072918&,\\ I^\prime_{\mathbf{1}}&{}\approx{}&0.088579356245&{}:{}&0.088579356245&{}:{}&0.822841287509&,\\ I^\prime_{\mathbf{2}}&{}\approx{}&0.035883532499&{}:{}&0.906925509083&{}:{}&0.057190958418&,\\ I^\prime_{\mathbf{3}}&{}\approx{}&0.028118753208&{}:{}&0.710677371828&{}:{}&0.261203874964&,\\ I^\prime_{\mathbf{4}}&{}\approx{}&0.906925509083&{}:{}&0.035883532499&{}:{}&0.057190958418&,\\ I^\prime_{\mathbf{5}}&{}\approx{}&0.710677371828&{}:{}&0.028118753208&{}:{}&0.261203874964&,\\ I^\prime_{\mathbf{6}}&{}\approx{}&0.484716815781&{}:{}&0.484716815781&{}:{}&0.030566368437&,\\ I^\prime_{\mathbf{7}}&{}\approx{}&0.422378967344&{}:{}&0.422378967344&{}:{}&0.155242065312&,\\ I^\prime_{\mathbf{a}}&{}\approx{}&-0.503726575887&{}:{}&0.700890186899&{}:{}&0.802836388989&,\\ I^\prime_{\mathbf{1a}}&{}\approx{}&-0.269518956564&{}:{}&0.839961263543&{}:{}&0.429557693021&,\\ I^\prime_{\mathbf{2a}}&{}\approx{}&-0.103298079348&{}:{}&0.143729978934&{}:{}&0.959568100414&,\\ I^\prime_{\mathbf{3a}}&{}\approx{}&-0.087674443642&{}:{}&0.273239171748&{}:{}&0.814435271894&,\\ I^\prime_{\mathbf{4a}}&{}\approx{}&1.964060720257&{}:{}&-0.242185659742&{}:{}&-0.721875060515&,\\ I^\prime_{\mathbf{5a}}&{}\approx{}&1.731886145206&{}:{}&-0.095345022530&{}:{}&-0.636541122676&,\\ I^\prime_{\mathbf{6a}}&{}\approx{}&1.229058233121&{}:{}&-0.151553501366&{}:{}&-0.077504731755&,\\ I^\prime_{\mathbf{7a}}&{}\approx{}&1.133932084180&{}:{}&-0.062426032111&{}:{}&-0.071506052069&,\\ I^\prime_{\mathbf{b}}&{}\approx{}&0.700890186899&{}:{}&-0.503726575887&{}:{}&0.802836388989&,\\ I^\prime_{\mathbf{1b}}&{}\approx{}&0.839961263543&{}:{}&-0.269518956564&{}:{}&0.429557693021&,\\ I^\prime_{\mathbf{2b}}&{}\approx{}&-0.242185659742&{}:{}&1.964060720257&{}:{}&-0.721875060515&,\\ I^\prime_{\mathbf{3b}}&{}\approx{}&-0.095345022530&{}:{}&1.731886145206&{}:{}&-0.636541122676&,\\ I^\prime_{\mathbf{4b}}&{}\approx{}&0.143729978934&{}:{}&-0.103298079348&{}:{}&0.959568100414&,\\ I^\prime_{\mathbf{5b}}&{}\approx{}&0.273239171748&{}:{}&-0.087674443642&{}:{}&0.814435271894&,\\ I^\prime_{\mathbf{6b}}&{}\approx{}&-0.151553501366&{}:{}&1.229058233121&{}:{}&-0.077504731755&,\\ I^\prime_{\mathbf{7b}}&{}\approx{}&-0.062426032111&{}:{}&1.133932084180&{}:{}&-0.071506052069&,\\ I^\prime_{\mathbf{c}}&{}\approx{}&1.170209910570&{}:{}&1.170209910570&{}:{}&-1.340419821139&,\\ I^\prime_{\mathbf{1c}}&{}\approx{}&-1.019713031423&{}:{}&-1.019713031423&{}:{}&3.039426062845&,\\ I^\prime_{\mathbf{2c}}&{}\approx{}&1.069449055997&{}:{}&0.477469104681&{}:{}&-0.546918160678&,\\ I^\prime_{\mathbf{3c}}&{}\approx{}&-0.291005820742&{}:{}&-0.651803220840&{}:{}&1.942809041582&,\\ I^\prime_{\mathbf{4c}}&{}\approx{}&0.477469104681&{}:{}&1.069449055997&{}:{}&-0.546918160678&,\\ I^\prime_{\mathbf{5c}}&{}\approx{}&-0.651803220840&{}:{}&-0.291005820742&{}:{}&1.942809041582&,\\ I^\prime_{\mathbf{6c}}&{}\approx{}&0.671772942312&{}:{}&0.671772942312&{}:{}&-0.343545884624&,\\ I^\prime_{\mathbf{7c}}&{}\approx{}&-0.213849483194&{}:{}&-0.213849483194&{}:{}&1.427698966388&. \end{alignedat} \]

\[ \begin{alignedat}{4} A^\prime&{}\approx{}&0.500000000000&{}:{}&0.207106781187&{}:{}&0.292893218813&,\\B^\prime&{}\approx{}&0.207106781187&{}:{}&0.500000000000&{}:{}&0.292893218813&,\\C^\prime&{}\approx{}&0.148846697643&{}:{}&0.148846697643&{}:{}&0.702306604714&,\\[.5em] A^\prime_{\mathbf{1}}&{}\approx{}&-0.207106781187&{}:{}&0.500000000000&{}:{}&0.707106781187&,\\B^\prime_{\mathbf{1}}&{}\approx{}&0.500000000000&{}:{}&-0.207106781187&{}:{}&0.707106781187&,\\C^\prime_{\mathbf{1}}&{}\approx{}&0.027526354083&{}:{}&0.027526354083&{}:{}&0.944947291833&,\\[.5em] A^\prime_{\mathbf{2}}&{}\approx{}&-0.558260083544&{}:{}&0.645452460308&{}:{}&0.912807623235&,\\B^\prime_{\mathbf{2}}&{}\approx{}&0.011401789184&{}:{}&0.972473645917&{}:{}&0.016124564899&,\\C^\prime_{\mathbf{2}}&{}\approx{}&1.207106781187&{}:{}&1.207106781187&{}:{}&-1.414213562373&,\\[.5em] A^\prime_{\mathbf{3}}&{}\approx{}&-0.679580427103&{}:{}&0.695704992003&{}:{}&0.983875435101&,\\B^\prime_{\mathbf{3}}&{}\approx{}&0.061654320878&{}:{}&0.851153302357&{}:{}&0.087192376765&,\\C^\prime_{\mathbf{3}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&-0.000000000000&,\\[.5em] A^\prime_{\mathbf{4}}&{}\approx{}&0.972473645917&{}:{}&0.011401789184&{}:{}&0.016124564899&,\\B^\prime_{\mathbf{4}}&{}\approx{}&0.645452460308&{}:{}&-0.558260083544&{}:{}&0.912807623235&,\\C^\prime_{\mathbf{4}}&{}\approx{}&1.207106781187&{}:{}&1.207106781187&{}:{}&-1.414213562373&,\\[.5em] A^\prime_{\mathbf{5}}&{}\approx{}&0.851153302357&{}:{}&0.061654320878&{}:{}&0.087192376765&,\\B^\prime_{\mathbf{5}}&{}\approx{}&0.695704992003&{}:{}&-0.679580427103&{}:{}&0.983875435101&,\\C^\prime_{\mathbf{5}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&-0.000000000000&,\\[.5em] A^\prime_{\mathbf{6}}&{}\approx{}&0.500000000000&{}:{}&0.207106781187&{}:{}&0.292893218813&,\\B^\prime_{\mathbf{6}}&{}\approx{}&0.207106781187&{}:{}&0.500000000000&{}:{}&0.292893218813&,\\C^\prime_{\mathbf{6}}&{}\approx{}&1.679580427103&{}:{}&1.679580427103&{}:{}&-2.359160854207&,\\[.5em] A^\prime_{\mathbf{7}}&{}\approx{}&-0.207106781187&{}:{}&0.500000000000&{}:{}&0.707106781187&,\\B^\prime_{\mathbf{7}}&{}\approx{}&0.500000000000&{}:{}&-0.207106781187&{}:{}&0.707106781187&,\\C^\prime_{\mathbf{7}}&{}\approx{}&1.558260083544&{}:{}&1.558260083544&{}:{}&-2.116520167087&,\\[.5em] A^\prime_{\mathbf{a}}&{}\approx{}&-1.513669746063&{}:{}&1.041196100146&{}:{}&1.472473645917&,\\B^\prime_{\mathbf{a}}&{}\approx{}&-0.240108467526&{}:{}&0.900543816310&{}:{}&0.339564651216&,\\C^\prime_{\mathbf{a}}&{}\approx{}&-0.334089318960&{}:{}&0.334089318960&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{1a}}&{}\approx{}&-0.041196100146&{}:{}&0.431277545771&{}:{}&0.609918554376&,\\B^\prime_{\mathbf{1a}}&{}\approx{}&-0.099456183690&{}:{}&0.958803899854&{}:{}&0.140652283836&,\\C^\prime_{\mathbf{1a}}&{}\approx{}&-1.806562964876&{}:{}&1.806562964876&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{2a}}&{}\approx{}&0.193437035124&{}:{}&0.334089318960&{}:{}&0.472473645917&,\\B^\prime_{\mathbf{2a}}&{}\approx{}&-4.361428811086&{}:{}&-0.806562964876&{}:{}&6.167991775962&,\\C^\prime_{\mathbf{2a}}&{}\approx{}&-0.041196100146&{}:{}&0.041196100146&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{3a}}&{}\approx{}&0.251697118667&{}:{}&0.309957202211&{}:{}&0.438345679122&,\\B^\prime_{\mathbf{3a}}&{}\approx{}&-0.806562964876&{}:{}&0.665910681040&{}:{}&1.140652283836&,\\C^\prime_{\mathbf{3a}}&{}\approx{}&-0.099456183690&{}:{}&0.099456183690&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{4a}}&{}\approx{}&2.806562964876&{}:{}&-0.748302881333&{}:{}&-1.058260083544&,\\B^\prime_{\mathbf{4a}}&{}\approx{}&1.947215248712&{}:{}&1.806562964876&{}:{}&-2.753778213589&,\\C^\prime_{\mathbf{4a}}&{}\approx{}&1.041196100146&{}:{}&-1.041196100146&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{5a}}&{}\approx{}&1.334089318960&{}:{}&-0.138384326957&{}:{}&-0.195704992003&,\\B^\prime_{\mathbf{5a}}&{}\approx{}&1.806562964876&{}:{}&1.748302881333&{}:{}&-2.554865846209&,\\C^\prime_{\mathbf{5a}}&{}\approx{}&2.513669746063&{}:{}&-2.513669746063&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{6a}}&{}\approx{}&1.099456183690&{}:{}&-0.041196100146&{}:{}&-0.058260083544&,\\B^\prime_{\mathbf{6a}}&{}\approx{}&6.068535592272&{}:{}&3.513669746063&{}:{}&-8.582205338335&,\\C^\prime_{\mathbf{6a}}&{}\approx{}&0.748302881333&{}:{}&-0.748302881333&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{7a}}&{}\approx{}&1.041196100146&{}:{}&-0.017063983397&{}:{}&-0.024132116749&,\\B^\prime_{\mathbf{7a}}&{}\approx{}&2.513669746063&{}:{}&2.041196100146&{}:{}&-3.554865846209&,\\C^\prime_{\mathbf{7a}}&{}\approx{}&0.806562964876&{}:{}&-0.806562964876&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{b}}&{}\approx{}&0.900543816310&{}:{}&-0.240108467526&{}:{}&0.339564651216&,\\B^\prime_{\mathbf{b}}&{}\approx{}&1.041196100146&{}:{}&-1.513669746063&{}:{}&1.472473645917&,\\C^\prime_{\mathbf{b}}&{}\approx{}&0.334089318960&{}:{}&-0.334089318960&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{1b}}&{}\approx{}&0.958803899854&{}:{}&-0.099456183690&{}:{}&0.140652283836&,\\B^\prime_{\mathbf{1b}}&{}\approx{}&0.431277545771&{}:{}&-0.041196100146&{}:{}&0.609918554376&,\\C^\prime_{\mathbf{1b}}&{}\approx{}&1.806562964876&{}:{}&-1.806562964876&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{2b}}&{}\approx{}&1.806562964876&{}:{}&1.947215248712&{}:{}&-2.753778213589&,\\B^\prime_{\mathbf{2b}}&{}\approx{}&-0.748302881333&{}:{}&2.806562964876&{}:{}&-1.058260083544&,\\C^\prime_{\mathbf{2b}}&{}\approx{}&-1.041196100146&{}:{}&1.041196100146&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{3b}}&{}\approx{}&1.748302881333&{}:{}&1.806562964876&{}:{}&-2.554865846209&,\\B^\prime_{\mathbf{3b}}&{}\approx{}&-0.138384326957&{}:{}&1.334089318960&{}:{}&-0.195704992003&,\\C^\prime_{\mathbf{3b}}&{}\approx{}&-2.513669746063&{}:{}&2.513669746063&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{4b}}&{}\approx{}&-0.806562964876&{}:{}&-4.361428811086&{}:{}&6.167991775962&,\\B^\prime_{\mathbf{4b}}&{}\approx{}&0.334089318960&{}:{}&0.193437035124&{}:{}&0.472473645917&,\\C^\prime_{\mathbf{4b}}&{}\approx{}&0.041196100146&{}:{}&-0.041196100146&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{5b}}&{}\approx{}&0.665910681040&{}:{}&-0.806562964876&{}:{}&1.140652283836&,\\B^\prime_{\mathbf{5b}}&{}\approx{}&0.309957202211&{}:{}&0.251697118667&{}:{}&0.438345679122&,\\C^\prime_{\mathbf{5b}}&{}\approx{}&0.099456183690&{}:{}&-0.099456183690&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{6b}}&{}\approx{}&3.513669746063&{}:{}&6.068535592272&{}:{}&-8.582205338335&,\\B^\prime_{\mathbf{6b}}&{}\approx{}&-0.041196100146&{}:{}&1.099456183690&{}:{}&-0.058260083544&,\\C^\prime_{\mathbf{6b}}&{}\approx{}&-0.748302881333&{}:{}&0.748302881333&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{7b}}&{}\approx{}&2.041196100146&{}:{}&2.513669746063&{}:{}&-3.554865846209&,\\B^\prime_{\mathbf{7b}}&{}\approx{}&-0.017063983397&{}:{}&1.041196100146&{}:{}&-0.024132116749&,\\C^\prime_{\mathbf{7b}}&{}\approx{}&-0.806562964876&{}:{}&0.806562964876&{}:{}&1.000000000000&,\\[.5em] A^\prime_{\mathbf{c}}&{}\approx{}&1.207106781187&{}:{}&0.500000000000&{}:{}&-0.707106781187&,\\B^\prime_{\mathbf{c}}&{}\approx{}&0.500000000000&{}:{}&1.207106781187&{}:{}&-0.707106781187&,\\C^\prime_{\mathbf{c}}&{}\approx{}&4.054865846209&{}:{}&4.054865846209&{}:{}&-7.109731692418&,\\[.5em] A^\prime_{\mathbf{1c}}&{}\approx{}&0.500000000000&{}:{}&-1.207106781187&{}:{}&1.707106781187&,\\B^\prime_{\mathbf{1c}}&{}\approx{}&-1.207106781187&{}:{}&0.500000000000&{}:{}&1.707106781187&,\\C^\prime_{\mathbf{1c}}&{}\approx{}&-3.761972627396&{}:{}&-3.761972627396&{}:{}&8.523945254791&,\\[.5em] A^\prime_{\mathbf{2c}}&{}\approx{}&1.066454497351&{}:{}&0.160435348784&{}:{}&-0.226889846135&,\\B^\prime_{\mathbf{2c}}&{}\approx{}&9.082205338335&{}:{}&4.761972627396&{}:{}&-12.844177965731&,\\C^\prime_{\mathbf{2c}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^\prime_{\mathbf{3c}}&{}\approx{}&0.640652283836&{}:{}&-0.867542129971&{}:{}&1.226889846135&,\\B^\prime_{\mathbf{3c}}&{}\approx{}&-9.789312119522&{}:{}&-3.054865846209&{}:{}&13.844177965731&,\\C^\prime_{\mathbf{3c}}&{}\approx{}&-0.207106781187&{}:{}&-0.207106781187&{}:{}&1.414213562373&,\\[.5em] A^\prime_{\mathbf{4c}}&{}\approx{}&4.761972627396&{}:{}&9.082205338335&{}:{}&-12.844177965731&,\\B^\prime_{\mathbf{4c}}&{}\approx{}&0.160435348784&{}:{}&1.066454497351&{}:{}&-0.226889846135&,\\C^\prime_{\mathbf{4c}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^\prime_{\mathbf{5c}}&{}\approx{}&-3.054865846209&{}:{}&-9.789312119522&{}:{}&13.844177965731&,\\B^\prime_{\mathbf{5c}}&{}\approx{}&-0.867542129971&{}:{}&0.640652283836&{}:{}&1.226889846135&,\\C^\prime_{\mathbf{5c}}&{}\approx{}&-0.207106781187&{}:{}&-0.207106781187&{}:{}&1.414213562373&,\\[.5em] A^\prime_{\mathbf{6c}}&{}\approx{}&1.207106781187&{}:{}&0.500000000000&{}:{}&-0.707106781187&,\\B^\prime_{\mathbf{6c}}&{}\approx{}&0.500000000000&{}:{}&1.207106781187&{}:{}&-0.707106781187&,\\C^\prime_{\mathbf{6c}}&{}\approx{}&0.359347716164&{}:{}&0.359347716164&{}:{}&0.281304567672&,\\[.5em] A^\prime_{\mathbf{7c}}&{}\approx{}&0.500000000000&{}:{}&-1.207106781187&{}:{}&1.707106781187&,\\B^\prime_{\mathbf{7c}}&{}\approx{}&-1.207106781187&{}:{}&0.500000000000&{}:{}&1.707106781187&,\\C^\prime_{\mathbf{7c}}&{}\approx{}&-0.066454497351&{}:{}&-0.066454497351&{}:{}&1.132908994701&. \end{alignedat} \] \[ \begin{alignedat}{4} A^{\prime\prime}&{}\approx{}&0.173208929102&{}:{}&0.295686137432&{}:{}&0.531104933466&,\\B^{\prime\prime}&{}\approx{}&0.295686137432&{}:{}&0.173208929102&{}:{}&0.531104933466&,\\C^{\prime\prime}&{}\approx{}&0.353553390593&{}:{}&0.353553390593&{}:{}&0.292893218813&,\\[.5em] A^{\prime\prime}_{\mathbf{1}}&{}\approx{}&0.052180054836&{}:{}&0.015283184219&{}:{}&0.932536760946&,\\B^{\prime\prime}_{\mathbf{1}}&{}\approx{}&0.015283184219&{}:{}&0.052180054836&{}:{}&0.932536760946&,\\C^{\prime\prime}_{\mathbf{1}}&{}\approx{}&0.146446609407&{}:{}&0.146446609407&{}:{}&0.707106781187&,\\[.5em] A^{\prime\prime}_{\mathbf{2}}&{}\approx{}&0.022590201458&{}:{}&0.974669147540&{}:{}&0.002740651002&,\\B^{\prime\prime}_{\mathbf{2}}&{}\approx{}&0.056813572761&{}:{}&0.841139138032&{}:{}&0.102047289207&,\\C^{\prime\prime}_{\mathbf{2}}&{}\approx{}&0.001513500292&{}:{}&0.966797155858&{}:{}&0.031689343850&,\\[.5em] A^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.109772717108&{}:{}&0.812606250236&{}:{}&0.077621032656&,\\B^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.006742702007&{}:{}&0.581836654238&{}:{}&0.411420643755&,\\C^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.001312651844&{}:{}&0.838498727648&{}:{}&0.160188620509&,\\[.5em] A^{\prime\prime}_{\mathbf{4}}&{}\approx{}&0.841139138032&{}:{}&0.056813572761&{}:{}&0.102047289207&,\\B^{\prime\prime}_{\mathbf{4}}&{}\approx{}&0.974669147540&{}:{}&0.022590201458&{}:{}&0.002740651002&,\\C^{\prime\prime}_{\mathbf{4}}&{}\approx{}&0.966797155858&{}:{}&0.001513500292&{}:{}&0.031689343850&,\\[.5em] A^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.581836654238&{}:{}&0.006742702007&{}:{}&0.411420643755&,\\B^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.812606250236&{}:{}&0.109772717108&{}:{}&0.077621032656&,\\C^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.838498727648&{}:{}&0.001312651844&{}:{}&0.160188620509&,\\[.5em] A^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.368744214168&{}:{}&0.629485748530&{}:{}&0.001770037301&,\\B^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.629485748530&{}:{}&0.368744214168&{}:{}&0.001770037301&,\\C^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.353553390593&{}:{}&0.353553390593&{}:{}&0.292893218813&,\\[.5em] A^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.757076375334&{}:{}&0.221742536459&{}:{}&0.021181088207&,\\B^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.221742536459&{}:{}&0.757076375334&{}:{}&0.021181088207&,\\C^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.146446609407&{}:{}&0.146446609407&{}:{}&0.707106781187&,\\[.5em] A^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.279407814799&{}:{}&0.663673308476&{}:{}&0.615734506323&,\\B^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.620637271897&{}:{}&0.505862261271&{}:{}&1.114775010625&,\\C^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.478765891065&{}:{}&0.926901175191&{}:{}&0.551864715874&,\\[.5em] A^{\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.188533109142&{}:{}&1.003040014354&{}:{}&0.185493094788&,\\B^{\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.381418330097&{}:{}&0.696323118707&{}:{}&0.685095211389&,\\C^{\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.088538608173&{}:{}&0.859948758263&{}:{}&0.228589849910&,\\[.5em] A^{\prime\prime}_{\mathbf{2a}}&{}\approx{}&-0.081621242647&{}:{}&0.033263476303&{}:{}&1.048357766344&,\\B^{\prime\prime}_{\mathbf{2a}}&{}\approx{}&-0.015439783364&{}:{}&0.073347784598&{}:{}&0.942091998766&,\\C^{\prime\prime}_{\mathbf{2a}}&{}\approx{}&-0.130644777866&{}:{}&0.252931130636&{}:{}&0.877713647231&,\\[.5em] A^{\prime\prime}_{\mathbf{3a}}&{}\approx{}&-0.177077216346&{}:{}&0.161637432982&{}:{}&1.015439783364&,\\B^{\prime\prime}_{\mathbf{3a}}&{}\approx{}&-0.014152750668&{}:{}&0.150591854105&{}:{}&0.863560896563&,\\C^{\prime\prime}_{\mathbf{3a}}&{}\approx{}&-0.042086499736&{}:{}&0.408773459783&{}:{}&0.633313039953&,\\[.5em] A^{\prime\prime}_{\mathbf{4a}}&{}\approx{}&1.356863354089&{}:{}&-0.049004836454&{}:{}&-0.307858517635&,\\B^{\prime\prime}_{\mathbf{4a}}&{}\approx{}&2.068351250224&{}:{}&-0.870780089663&{}:{}&-0.197571160561&,\\C^{\prime\prime}_{\mathbf{4a}}&{}\approx{}&2.567999415663&{}:{}&-0.039046485382&{}:{}&-1.528952930282&,\\[.5em] A^{\prime\prime}_{\mathbf{5a}}&{}\approx{}&2.102249102308&{}:{}&-0.033897852085&{}:{}&-1.068351250224&,\\B^{\prime\prime}_{\mathbf{5a}}&{}\approx{}&1.395639890329&{}:{}&-0.262326850376&{}:{}&-0.133313039953&,\\C^{\prime\prime}_{\mathbf{5a}}&{}\approx{}&1.367706141261&{}:{}&-0.004145244698&{}:{}&-0.363560896563&,\\[.5em] A^{\prime\prime}_{\mathbf{6a}}&{}\approx{}&1.332319281658&{}:{}&-0.280454565784&{}:{}&-0.051864715874&,\\B^{\prime\prime}_{\mathbf{6a}}&{}\approx{}&1.081132985117&{}:{}&-0.078092970763&{}:{}&-0.003040014354&,\\C^{\prime\prime}_{\mathbf{6a}}&{}\approx{}&1.132961205392&{}:{}&-0.017226699069&{}:{}&-0.115734506323&,\\[.5em] A^{\prime\prime}_{\mathbf{7a}}&{}\approx{}&1.221259531854&{}:{}&-0.114775010625&{}:{}&-0.106484521229&,\\B^{\prime\prime}_{\mathbf{7a}}&{}\approx{}&1.036334947979&{}:{}&-0.033420900252&{}:{}&-0.002914047727&,\\C^{\prime\prime}_{\mathbf{7a}}&{}\approx{}&1.051124551154&{}:{}&-0.003185749001&{}:{}&-0.047938802153&,\\[.5em] A^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.505862261271&{}:{}&-0.620637271897&{}:{}&1.114775010625&,\\B^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.663673308476&{}:{}&-0.279407814799&{}:{}&0.615734506323&,\\C^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.926901175191&{}:{}&-0.478765891065&{}:{}&0.551864715874&,\\[.5em] A^{\prime\prime}_{\mathbf{1b}}&{}\approx{}&0.696323118707&{}:{}&-0.381418330097&{}:{}&0.685095211389&,\\B^{\prime\prime}_{\mathbf{1b}}&{}\approx{}&1.003040014354&{}:{}&-0.188533109142&{}:{}&0.185493094788&,\\C^{\prime\prime}_{\mathbf{1b}}&{}\approx{}&0.859948758263&{}:{}&-0.088538608173&{}:{}&0.228589849910&,\\[.5em] A^{\prime\prime}_{\mathbf{2b}}&{}\approx{}&-0.870780089663&{}:{}&2.068351250224&{}:{}&-0.197571160561&,\\B^{\prime\prime}_{\mathbf{2b}}&{}\approx{}&-0.049004836454&{}:{}&1.356863354089&{}:{}&-0.307858517635&,\\C^{\prime\prime}_{\mathbf{2b}}&{}\approx{}&-0.039046485382&{}:{}&2.567999415663&{}:{}&-1.528952930282&,\\[.5em] A^{\prime\prime}_{\mathbf{3b}}&{}\approx{}&-0.262326850376&{}:{}&1.395639890329&{}:{}&-0.133313039953&,\\B^{\prime\prime}_{\mathbf{3b}}&{}\approx{}&-0.033897852085&{}:{}&2.102249102308&{}:{}&-1.068351250224&,\\C^{\prime\prime}_{\mathbf{3b}}&{}\approx{}&-0.004145244698&{}:{}&1.367706141261&{}:{}&-0.363560896563&,\\[.5em] A^{\prime\prime}_{\mathbf{4b}}&{}\approx{}&0.073347784598&{}:{}&-0.015439783364&{}:{}&0.942091998766&,\\B^{\prime\prime}_{\mathbf{4b}}&{}\approx{}&0.033263476303&{}:{}&-0.081621242647&{}:{}&1.048357766344&,\\C^{\prime\prime}_{\mathbf{4b}}&{}\approx{}&0.252931130636&{}:{}&-0.130644777866&{}:{}&0.877713647231&,\\[.5em] A^{\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.150591854105&{}:{}&-0.014152750668&{}:{}&0.863560896563&,\\B^{\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.161637432982&{}:{}&-0.177077216346&{}:{}&1.015439783364&,\\C^{\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.408773459783&{}:{}&-0.042086499736&{}:{}&0.633313039953&,\\[.5em] A^{\prime\prime}_{\mathbf{6b}}&{}\approx{}&-0.078092970763&{}:{}&1.081132985117&{}:{}&-0.003040014354&,\\B^{\prime\prime}_{\mathbf{6b}}&{}\approx{}&-0.280454565784&{}:{}&1.332319281658&{}:{}&-0.051864715874&,\\C^{\prime\prime}_{\mathbf{6b}}&{}\approx{}&-0.017226699069&{}:{}&1.132961205392&{}:{}&-0.115734506323&,\\[.5em] A^{\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.033420900252&{}:{}&1.036334947979&{}:{}&-0.002914047727&,\\B^{\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.114775010625&{}:{}&1.221259531854&{}:{}&-0.106484521229&,\\C^{\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.003185749001&{}:{}&1.051124551154&{}:{}&-0.047938802153&,\\[.5em] A^{\prime\prime}_{\mathbf{c}}&{}\approx{}&0.890227282892&{}:{}&1.519713031423&{}:{}&-1.409940314315&,\\B^{\prime\prime}_{\mathbf{c}}&{}\approx{}&1.519713031423&{}:{}&0.890227282892&{}:{}&-1.409940314315&,\\C^{\prime\prime}_{\mathbf{c}}&{}\approx{}&0.853553390593&{}:{}&0.853553390593&{}:{}&-0.707106781187&,\\[.5em] A^{\prime\prime}_{\mathbf{1c}}&{}\approx{}&-1.827744053083&{}:{}&-0.535333838875&{}:{}&3.363077891958&,\\B^{\prime\prime}_{\mathbf{1c}}&{}\approx{}&-0.535333838875&{}:{}&-1.827744053083&{}:{}&3.363077891958&,\\C^{\prime\prime}_{\mathbf{1c}}&{}\approx{}&-0.353553390593&{}:{}&-0.353553390593&{}:{}&1.707106781187&,\\[.5em] A^{\prime\prime}_{\mathbf{2c}}&{}\approx{}&0.947819945164&{}:{}&0.722389965405&{}:{}&-0.670209910570&,\\B^{\prime\prime}_{\mathbf{2c}}&{}\approx{}&0.928849317646&{}:{}&0.242923624666&{}:{}&-0.171772942312&,\\C^{\prime\prime}_{\mathbf{2c}}&{}\approx{}&1.205593280895&{}:{}&0.240309625328&{}:{}&-0.445902906223&,\\[.5em] A^{\prime\prime}_{\mathbf{3c}}&{}\approx{}&-0.405631845412&{}:{}&-0.266106931081&{}:{}&1.671738776494&,\\B^{\prime\prime}_{\mathbf{3c}}&{}\approx{}&-0.043726304683&{}:{}&-0.334386153871&{}:{}&1.378112458555&,\\C^{\prime\prime}_{\mathbf{3c}}&{}\approx{}&-0.208419433030&{}:{}&-1.045605508834&{}:{}&2.254024941865&,\\[.5em] A^{\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.242923624666&{}:{}&0.928849317646&{}:{}&-0.171772942312&,\\B^{\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.722389965405&{}:{}&0.947819945164&{}:{}&-0.670209910570&,\\C^{\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.240309625328&{}:{}&1.205593280895&{}:{}&-0.445902906223&,\\[.5em] A^{\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.334386153871&{}:{}&-0.043726304683&{}:{}&1.378112458555&,\\B^{\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.266106931081&{}:{}&-0.405631845412&{}:{}&1.671738776494&,\\C^{\prime\prime}_{\mathbf{5c}}&{}\approx{}&-1.045605508834&{}:{}&-0.208419433030&{}:{}&2.254024941865&,\\[.5em] A^{\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.418163345762&{}:{}&0.713849483194&{}:{}&-0.132012828956&,\\B^{\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.713849483194&{}:{}&0.418163345762&{}:{}&-0.132012828956&,\\C^{\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.853553390593&{}:{}&0.853553390593&{}:{}&-0.707106781187&,\\[.5em] A^{\prime\prime}_{\mathbf{7c}}&{}\approx{}&-0.125973796069&{}:{}&-0.036896870617&{}:{}&1.162870666686&,\\B^{\prime\prime}_{\mathbf{7c}}&{}\approx{}&-0.036896870617&{}:{}&-0.125973796069&{}:{}&1.162870666686&,\\C^{\prime\prime}_{\mathbf{7c}}&{}\approx{}&-0.353553390593&{}:{}&-0.353553390593&{}:{}&1.707106781187&. \end{alignedat} \] \[ \begin{alignedat}{4} A^{\prime\prime\prime}&{}\approx{}&0.122962885091&{}:{}&0.296858664855&{}:{}&0.580178450054&,\\B^{\prime\prime\prime}&{}\approx{}&0.296858664855&{}:{}&0.122962885091&{}:{}&0.580178450054&,\\C^{\prime\prime\prime}&{}\approx{}&0.386729540170&{}:{}&0.386729540170&{}:{}&0.226540919661&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{1}}&{}\approx{}&0.028641306985&{}:{}&-0.011863617797&{}:{}&0.983222310812&,\\B^{\prime\prime\prime}_{\mathbf{1}}&{}\approx{}&-0.011863617797&{}:{}&0.028641306985&{}:{}&0.983222310812&,\\C^{\prime\prime\prime}_{\mathbf{1}}&{}\approx{}&-0.707106781187&{}:{}&-0.707106781187&{}:{}&2.414213562373&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{2}}&{}\approx{}&0.011748155250&{}:{}&1.002015664775&{}:{}&-0.013763820025&,\\B^{\prime\prime\prime}_{\mathbf{2}}&{}\approx{}&0.834466715542&{}:{}&-0.964798685182&{}:{}&1.130331969639&,\\C^{\prime\prime\prime}_{\mathbf{2}}&{}\approx{}&-0.010075798361&{}:{}&0.993600922536&{}:{}&0.016474875825&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&0.067543608652&{}:{}&0.932456391348&{}:{}&-0.000000000000&,\\B^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&-42.145659826952&{}:{}&43.145659826952&{}:{}&-0.000000000000&,\\C^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&-0.068584381168&{}:{}&0.969290044293&{}:{}&0.099294336875&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{4}}&{}\approx{}&-0.964798685182&{}:{}&0.834466715542&{}:{}&1.130331969639&,\\B^{\prime\prime\prime}_{\mathbf{4}}&{}\approx{}&1.002015664775&{}:{}&0.011748155250&{}:{}&-0.013763820025&,\\C^{\prime\prime\prime}_{\mathbf{4}}&{}\approx{}&0.993600922536&{}:{}&-0.010075798361&{}:{}&0.016474875825&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&43.145659826952&{}:{}&-42.145659826952&{}:{}&-0.000000000000&,\\B^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.932456391348&{}:{}&0.067543608652&{}:{}&-0.000000000000&,\\C^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.969290044293&{}:{}&-0.068584381168&{}:{}&0.099294336875&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&0.497611377573&{}:{}&1.201340136528&{}:{}&-0.698951514101&,\\B^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&1.201340136528&{}:{}&0.497611377573&{}:{}&-0.698951514101&,\\C^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&0.386729540170&{}:{}&0.386729540170&{}:{}&0.226540919661&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&-1.294545023646&{}:{}&0.536218105897&{}:{}&1.758326917749&,\\B^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&0.536218105897&{}:{}&-1.294545023646&{}:{}&1.758326917749&,\\C^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&-0.707106781187&{}:{}&-0.707106781187&{}:{}&2.414213562373&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.174101304107&{}:{}&0.652979274079&{}:{}&0.521122030028&,\\B^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.572482266837&{}:{}&0.393788873157&{}:{}&1.178693393680&,\\C^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.391748274803&{}:{}&1.010661837698&{}:{}&0.381086437105&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.108766554612&{}:{}&1.048560208790&{}:{}&0.060206345821&,\\B^{\prime\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.065514420258&{}:{}&0.685863425930&{}:{}&0.379650994327&,\\C^{\prime\prime\prime}_{\mathbf{1a}}&{}\approx{}&-0.008716097378&{}:{}&0.879672098223&{}:{}&0.129043999154&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{2a}}&{}\approx{}&-0.043310270748&{}:{}&-0.008009407444&{}:{}&1.051319678192&,\\B^{\prime\prime\prime}_{\mathbf{2a}}&{}\approx{}&0.022395653121&{}:{}&0.038680020576&{}:{}&0.938924326303&,\\C^{\prime\prime\prime}_{\mathbf{2a}}&{}\approx{}&0.320192538453&{}:{}&-0.102268917680&{}:{}&0.782076379228&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{3a}}&{}\approx{}&-0.101211560774&{}:{}&0.083561807694&{}:{}&1.017649753080&,\\B^{\prime\prime\prime}_{\mathbf{3a}}&{}\approx{}&0.068429901706&{}:{}&0.084269303489&{}:{}&0.847300794806&,\\C^{\prime\prime\prime}_{\mathbf{3a}}&{}\approx{}&0.266079180035&{}:{}&0.270527915470&{}:{}&0.463392904496&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{4a}}&{}\approx{}&0.346236249568&{}:{}&0.321226729290&{}:{}&0.332537021143&,\\B^{\prime\prime\prime}_{\mathbf{4a}}&{}\approx{}&1.010661837698&{}:{}&-0.269468803895&{}:{}&0.258806966197&,\\C^{\prime\prime\prime}_{\mathbf{4a}}&{}\approx{}&1.149028033617&{}:{}&0.284231621722&{}:{}&-0.433259655339&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{5a}}&{}\approx{}&0.422730094909&{}:{}&0.409097417209&{}:{}&0.168172487882&,\\B^{\prime\prime\prime}_{\mathbf{5a}}&{}\approx{}&1.066624909668&{}:{}&-0.110640395768&{}:{}&0.044015486100&,\\C^{\prime\prime\prime}_{\mathbf{5a}}&{}\approx{}&1.048560208790&{}:{}&0.105258927874&{}:{}&-0.153819136664&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{6a}}&{}\approx{}&0.343011371888&{}:{}&0.198602885594&{}:{}&0.458385742518&,\\B^{\prime\prime\prime}_{\mathbf{6a}}&{}\approx{}&0.987553715251&{}:{}&-0.037003167890&{}:{}&0.049449452639&,\\C^{\prime\prime\prime}_{\mathbf{6a}}&{}\approx{}&1.032306156571&{}:{}&0.022395653121&{}:{}&-0.054701809692&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{7a}}&{}\approx{}&0.327668265123&{}:{}&0.266079180035&{}:{}&0.406252554843&,\\B^{\prime\prime\prime}_{\mathbf{7a}}&{}\approx{}&0.996084875443&{}:{}&-0.016324663312&{}:{}&0.020239787869&,\\C^{\prime\prime\prime}_{\mathbf{7a}}&{}\approx{}&1.009967313500&{}:{}&0.013441004221&{}:{}&-0.023408317721&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.393788873157&{}:{}&-0.572482266837&{}:{}&1.178693393680&,\\B^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.652979274079&{}:{}&-0.174101304107&{}:{}&0.521122030028&,\\C^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&1.010661837698&{}:{}&-0.391748274803&{}:{}&0.381086437105&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{1b}}&{}\approx{}&0.685863425930&{}:{}&-0.065514420258&{}:{}&0.379650994327&,\\B^{\prime\prime\prime}_{\mathbf{1b}}&{}\approx{}&1.048560208790&{}:{}&-0.108766554612&{}:{}&0.060206345821&,\\C^{\prime\prime\prime}_{\mathbf{1b}}&{}\approx{}&0.879672098223&{}:{}&-0.008716097378&{}:{}&0.129043999154&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{2b}}&{}\approx{}&-0.269468803895&{}:{}&1.010661837698&{}:{}&0.258806966197&,\\B^{\prime\prime\prime}_{\mathbf{2b}}&{}\approx{}&0.321226729290&{}:{}&0.346236249568&{}:{}&0.332537021143&,\\C^{\prime\prime\prime}_{\mathbf{2b}}&{}\approx{}&0.284231621722&{}:{}&1.149028033617&{}:{}&-0.433259655339&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{3b}}&{}\approx{}&-0.110640395768&{}:{}&1.066624909668&{}:{}&0.044015486100&,\\B^{\prime\prime\prime}_{\mathbf{3b}}&{}\approx{}&0.409097417209&{}:{}&0.422730094909&{}:{}&0.168172487882&,\\C^{\prime\prime\prime}_{\mathbf{3b}}&{}\approx{}&0.105258927874&{}:{}&1.048560208790&{}:{}&-0.153819136664&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{4b}}&{}\approx{}&0.038680020576&{}:{}&0.022395653121&{}:{}&0.938924326303&,\\B^{\prime\prime\prime}_{\mathbf{4b}}&{}\approx{}&-0.008009407444&{}:{}&-0.043310270748&{}:{}&1.051319678192&,\\C^{\prime\prime\prime}_{\mathbf{4b}}&{}\approx{}&-0.102268917680&{}:{}&0.320192538453&{}:{}&0.782076379228&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.084269303489&{}:{}&0.068429901706&{}:{}&0.847300794806&,\\B^{\prime\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.083561807694&{}:{}&-0.101211560774&{}:{}&1.017649753080&,\\C^{\prime\prime\prime}_{\mathbf{5b}}&{}\approx{}&0.270527915470&{}:{}&0.266079180035&{}:{}&0.463392904496&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{6b}}&{}\approx{}&-0.037003167890&{}:{}&0.987553715251&{}:{}&0.049449452639&,\\B^{\prime\prime\prime}_{\mathbf{6b}}&{}\approx{}&0.198602885594&{}:{}&0.343011371888&{}:{}&0.458385742518&,\\C^{\prime\prime\prime}_{\mathbf{6b}}&{}\approx{}&0.022395653121&{}:{}&1.032306156571&{}:{}&-0.054701809692&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.016324663312&{}:{}&0.996084875443&{}:{}&0.020239787869&,\\B^{\prime\prime\prime}_{\mathbf{7b}}&{}\approx{}&0.266079180035&{}:{}&0.327668265123&{}:{}&0.406252554843&,\\C^{\prime\prime\prime}_{\mathbf{7b}}&{}\approx{}&0.013441004221&{}:{}&1.009967313500&{}:{}&-0.023408317721&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{c}}&{}\approx{}&0.602108277599&{}:{}&1.453617969797&{}:{}&-1.055726247397&,\\B^{\prime\prime\prime}_{\mathbf{c}}&{}\approx{}&1.453617969797&{}:{}&0.602108277599&{}:{}&-1.055726247397&,\\C^{\prime\prime\prime}_{\mathbf{c}}&{}\approx{}&0.707106781187&{}:{}&0.707106781187&{}:{}&-0.414213562373&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{1c}}&{}\approx{}&-0.595226916389&{}:{}&0.246551061458&{}:{}&1.348675854931&,\\B^{\prime\prime\prime}_{\mathbf{1c}}&{}\approx{}&0.246551061458&{}:{}&-0.595226916389&{}:{}&1.348675854931&,\\C^{\prime\prime\prime}_{\mathbf{1c}}&{}\approx{}&0.184699031259&{}:{}&0.184699031259&{}:{}&0.630601937482&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{2c}}&{}\approx{}&0.656030669413&{}:{}&0.343969330587&{}:{}&0.000000000000&,\\B^{\prime\prime\prime}_{\mathbf{2c}}&{}\approx{}&0.869234105010&{}:{}&0.130765894990&{}:{}&0.000000000000&,\\C^{\prime\prime\prime}_{\mathbf{2c}}&{}\approx{}&1.154566448836&{}:{}&0.091069351453&{}:{}&-0.245635800289&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{3c}}&{}\approx{}&-0.181278769177&{}:{}&-0.056570095410&{}:{}&1.237848864587&,\\B^{\prime\prime\prime}_{\mathbf{3c}}&{}\approx{}&0.112453171914&{}:{}&-0.152278961217&{}:{}&1.039825789304&,\\C^{\prime\prime\prime}_{\mathbf{3c}}&{}\approx{}&0.401206134927&{}:{}&-0.169541385685&{}:{}&0.768335250757&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.130765894990&{}:{}&0.869234105010&{}:{}&0.000000000000&,\\B^{\prime\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.343969330587&{}:{}&0.656030669413&{}:{}&0.000000000000&,\\C^{\prime\prime\prime}_{\mathbf{4c}}&{}\approx{}&0.091069351453&{}:{}&1.154566448836&{}:{}&-0.245635800289&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.152278961217&{}:{}&0.112453171914&{}:{}&1.039825789304&,\\B^{\prime\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.056570095410&{}:{}&-0.181278769177&{}:{}&1.237848864587&,\\C^{\prime\prime\prime}_{\mathbf{5c}}&{}\approx{}&-0.169541385685&{}:{}&0.401206134927&{}:{}&0.768335250757&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.238263524168&{}:{}&0.575219031465&{}:{}&0.186517444367&,\\B^{\prime\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.575219031465&{}:{}&0.238263524168&{}:{}&0.186517444367&,\\C^{\prime\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.707106781187&{}:{}&0.707106781187&{}:{}&-0.414213562373&,\\[.5em] A^{\prime\prime\prime}_{\mathbf{7c}}&{}\approx{}&-0.060745576363&{}:{}&0.025161641584&{}:{}&1.035583934779&,\\B^{\prime\prime\prime}_{\mathbf{7c}}&{}\approx{}&0.025161641584&{}:{}&-0.060745576363&{}:{}&1.035583934779&,\\C^{\prime\prime\prime}_{\mathbf{7c}}&{}\approx{}&0.184699031259&{}:{}&0.184699031259&{}:{}&0.630601937482&. \end{alignedat} \] \[ \begin{alignedat}{4} A^*&{}\approx{}&0.000000000000&{}:{}&0.324423348821&{}:{}&0.675576651179&,\\B^*&{}\approx{}&0.324423348821&{}:{}&0.000000000000&{}:{}&0.675576651179&,\\C^*&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{1}}&{}\approx{}&0.000000000000&{}:{}&-0.089790213552&{}:{}&1.089790213552&,\\B^*_{\mathbf{1}}&{}\approx{}&-0.089790213552&{}:{}&0.000000000000&{}:{}&1.089790213552&,\\C^*_{\mathbf{1}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{2}}&{}\approx{}&0.000000000000&{}:{}&1.089790213552&{}:{}&-0.089790213552&,\\B^*_{\mathbf{2}}&{}\approx{}&0.324423348821&{}:{}&0.000000000000&{}:{}&0.675576651179&,\\C^*_{\mathbf{2}}&{}\approx{}&-0.041196100146&{}:{}&1.041196100146&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{3}}&{}\approx{}&0.000000000000&{}:{}&0.675576651179&{}:{}&0.324423348821&,\\B^*_{\mathbf{3}}&{}\approx{}&-0.089790213552&{}:{}&0.000000000000&{}:{}&1.089790213552&,\\C^*_{\mathbf{3}}&{}\approx{}&-0.041196100146&{}:{}&1.041196100146&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{4}}&{}\approx{}&0.000000000000&{}:{}&0.324423348821&{}:{}&0.675576651179&,\\B^*_{\mathbf{4}}&{}\approx{}&1.089790213552&{}:{}&0.000000000000&{}:{}&-0.089790213552&,\\C^*_{\mathbf{4}}&{}\approx{}&1.041196100146&{}:{}&-0.041196100146&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{5}}&{}\approx{}&0.000000000000&{}:{}&-0.089790213552&{}:{}&1.089790213552&,\\B^*_{\mathbf{5}}&{}\approx{}&0.675576651179&{}:{}&0.000000000000&{}:{}&0.324423348821&,\\C^*_{\mathbf{5}}&{}\approx{}&1.041196100146&{}:{}&-0.041196100146&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{6}}&{}\approx{}&0.000000000000&{}:{}&1.089790213552&{}:{}&-0.089790213552&,\\B^*_{\mathbf{6}}&{}\approx{}&1.089790213552&{}:{}&0.000000000000&{}:{}&-0.089790213552&,\\C^*_{\mathbf{6}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{7}}&{}\approx{}&0.000000000000&{}:{}&0.675576651179&{}:{}&0.324423348821&,\\B^*_{\mathbf{7}}&{}\approx{}&0.675576651179&{}:{}&0.000000000000&{}:{}&0.324423348821&,\\C^*_{\mathbf{7}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{a}}&{}\approx{}&0.000000000000&{}:{}&0.617316567635&{}:{}&0.382683432365&,\\B^*_{\mathbf{a}}&{}\approx{}&-0.923879532511&{}:{}&0.000000000000&{}:{}&1.923879532511&,\\C^*_{\mathbf{a}}&{}\approx{}&-0.423879532511&{}:{}&1.423879532511&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{1a}}&{}\approx{}&0.000000000000&{}:{}&1.382683432365&{}:{}&-0.382683432365&,\\B^*_{\mathbf{1a}}&{}\approx{}&-0.923879532511&{}:{}&0.000000000000&{}:{}&1.923879532511&,\\C^*_{\mathbf{1a}}&{}\approx{}&0.117316567635&{}:{}&0.882683432365&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{2a}}&{}\approx{}&0.000000000000&{}:{}&-0.382683432365&{}:{}&1.382683432365&,\\B^*_{\mathbf{2a}}&{}\approx{}&0.076120467489&{}:{}&0.000000000000&{}:{}&0.923879532511&,\\C^*_{\mathbf{2a}}&{}\approx{}&-0.423879532511&{}:{}&1.423879532511&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{3a}}&{}\approx{}&0.000000000000&{}:{}&0.382683432365&{}:{}&0.617316567635&,\\B^*_{\mathbf{3a}}&{}\approx{}&0.076120467489&{}:{}&0.000000000000&{}:{}&0.923879532511&,\\C^*_{\mathbf{3a}}&{}\approx{}&0.117316567635&{}:{}&0.882683432365&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{4a}}&{}\approx{}&0.000000000000&{}:{}&0.382683432365&{}:{}&0.617316567635&,\\B^*_{\mathbf{4a}}&{}\approx{}&1.923879532511&{}:{}&0.000000000000&{}:{}&-0.923879532511&,\\C^*_{\mathbf{4a}}&{}\approx{}&1.423879532511&{}:{}&-0.423879532511&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{5a}}&{}\approx{}&0.000000000000&{}:{}&-0.382683432365&{}:{}&1.382683432365&,\\B^*_{\mathbf{5a}}&{}\approx{}&1.923879532511&{}:{}&0.000000000000&{}:{}&-0.923879532511&,\\C^*_{\mathbf{5a}}&{}\approx{}&0.882683432365&{}:{}&0.117316567635&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{6a}}&{}\approx{}&0.000000000000&{}:{}&1.382683432365&{}:{}&-0.382683432365&,\\B^*_{\mathbf{6a}}&{}\approx{}&0.923879532511&{}:{}&0.000000000000&{}:{}&0.076120467489&,\\C^*_{\mathbf{6a}}&{}\approx{}&1.423879532511&{}:{}&-0.423879532511&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{7a}}&{}\approx{}&0.000000000000&{}:{}&0.617316567635&{}:{}&0.382683432365&,\\B^*_{\mathbf{7a}}&{}\approx{}&0.923879532511&{}:{}&0.000000000000&{}:{}&0.076120467489&,\\C^*_{\mathbf{7a}}&{}\approx{}&0.882683432365&{}:{}&0.117316567635&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{b}}&{}\approx{}&0.000000000000&{}:{}&-0.923879532511&{}:{}&1.923879532511&,\\B^*_{\mathbf{b}}&{}\approx{}&0.617316567635&{}:{}&0.000000000000&{}:{}&0.382683432365&,\\C^*_{\mathbf{b}}&{}\approx{}&1.423879532511&{}:{}&-0.423879532511&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{1b}}&{}\approx{}&0.000000000000&{}:{}&-0.923879532511&{}:{}&1.923879532511&,\\B^*_{\mathbf{1b}}&{}\approx{}&1.382683432365&{}:{}&0.000000000000&{}:{}&-0.382683432365&,\\C^*_{\mathbf{1b}}&{}\approx{}&0.882683432365&{}:{}&0.117316567635&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{2b}}&{}\approx{}&0.000000000000&{}:{}&1.923879532511&{}:{}&-0.923879532511&,\\B^*_{\mathbf{2b}}&{}\approx{}&0.382683432365&{}:{}&0.000000000000&{}:{}&0.617316567635&,\\C^*_{\mathbf{2b}}&{}\approx{}&-0.423879532511&{}:{}&1.423879532511&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{3b}}&{}\approx{}&0.000000000000&{}:{}&1.923879532511&{}:{}&-0.923879532511&,\\B^*_{\mathbf{3b}}&{}\approx{}&-0.382683432365&{}:{}&0.000000000000&{}:{}&1.382683432365&,\\C^*_{\mathbf{3b}}&{}\approx{}&0.117316567635&{}:{}&0.882683432365&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{4b}}&{}\approx{}&0.000000000000&{}:{}&0.076120467489&{}:{}&0.923879532511&,\\B^*_{\mathbf{4b}}&{}\approx{}&-0.382683432365&{}:{}&0.000000000000&{}:{}&1.382683432365&,\\C^*_{\mathbf{4b}}&{}\approx{}&1.423879532511&{}:{}&-0.423879532511&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{5b}}&{}\approx{}&0.000000000000&{}:{}&0.076120467489&{}:{}&0.923879532511&,\\B^*_{\mathbf{5b}}&{}\approx{}&0.382683432365&{}:{}&0.000000000000&{}:{}&0.617316567635&,\\C^*_{\mathbf{5b}}&{}\approx{}&0.882683432365&{}:{}&0.117316567635&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{6b}}&{}\approx{}&0.000000000000&{}:{}&0.923879532511&{}:{}&0.076120467489&,\\B^*_{\mathbf{6b}}&{}\approx{}&1.382683432365&{}:{}&0.000000000000&{}:{}&-0.382683432365&,\\C^*_{\mathbf{6b}}&{}\approx{}&-0.423879532511&{}:{}&1.423879532511&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{7b}}&{}\approx{}&0.000000000000&{}:{}&0.923879532511&{}:{}&0.076120467489&,\\B^*_{\mathbf{7b}}&{}\approx{}&0.617316567635&{}:{}&0.000000000000&{}:{}&0.382683432365&,\\C^*_{\mathbf{7b}}&{}\approx{}&0.117316567635&{}:{}&0.882683432365&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{c}}&{}\approx{}&0.000000000000&{}:{}&2.630986313698&{}:{}&-1.630986313698&,\\B^*_{\mathbf{c}}&{}\approx{}&2.630986313698&{}:{}&0.000000000000&{}:{}&-1.630986313698&,\\C^*_{\mathbf{c}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{1c}}&{}\approx{}&0.000000000000&{}:{}&-1.630986313698&{}:{}&2.630986313698&,\\B^*_{\mathbf{1c}}&{}\approx{}&-1.630986313698&{}:{}&0.000000000000&{}:{}&2.630986313698&,\\C^*_{\mathbf{1c}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{2c}}&{}\approx{}&0.000000000000&{}:{}&2.630986313698&{}:{}&-1.630986313698&,\\B^*_{\mathbf{2c}}&{}\approx{}&0.783227248675&{}:{}&0.000000000000&{}:{}&0.216772751325&,\\C^*_{\mathbf{2c}}&{}\approx{}&1.806562964876&{}:{}&-0.806562964876&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{3c}}&{}\approx{}&0.000000000000&{}:{}&-1.630986313698&{}:{}&2.630986313698&,\\B^*_{\mathbf{3c}}&{}\approx{}&0.216772751325&{}:{}&0.000000000000&{}:{}&0.783227248675&,\\C^*_{\mathbf{3c}}&{}\approx{}&-0.806562964876&{}:{}&1.806562964876&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{4c}}&{}\approx{}&0.000000000000&{}:{}&0.783227248675&{}:{}&0.216772751325&,\\B^*_{\mathbf{4c}}&{}\approx{}&2.630986313698&{}:{}&0.000000000000&{}:{}&-1.630986313698&,\\C^*_{\mathbf{4c}}&{}\approx{}&-0.806562964876&{}:{}&1.806562964876&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{5c}}&{}\approx{}&0.000000000000&{}:{}&0.216772751325&{}:{}&0.783227248675&,\\B^*_{\mathbf{5c}}&{}\approx{}&-1.630986313698&{}:{}&0.000000000000&{}:{}&2.630986313698&,\\C^*_{\mathbf{5c}}&{}\approx{}&1.806562964876&{}:{}&-0.806562964876&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{6c}}&{}\approx{}&0.000000000000&{}:{}&0.783227248675&{}:{}&0.216772751325&,\\B^*_{\mathbf{6c}}&{}\approx{}&0.783227248675&{}:{}&0.000000000000&{}:{}&0.216772751325&,\\C^*_{\mathbf{6c}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&,\\[.5em] A^*_{\mathbf{7c}}&{}\approx{}&0.000000000000&{}:{}&0.216772751325&{}:{}&0.783227248675&,\\B^*_{\mathbf{7c}}&{}\approx{}&0.216772751325&{}:{}&0.000000000000&{}:{}&0.783227248675&,\\C^*_{\mathbf{7c}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&. \end{alignedat} \]