dogbone partition A1
\begin{eqnarray}
\nonumber
Q0=\left[\matrix{420\cr 420\cr 420}\right]\left[\matrix{-420\cr 420\cr 420}\right]\left[\matrix{-420\cr -420\cr 420}\right]\left[\matrix{420\cr -420\cr 420}\right]\left[\matrix{840\cr 0\cr 840}\right]\left[\matrix{-840\cr 0\cr 840}\right]\left[\matrix{0\cr -840\cr 840}\right]\left[\matrix{0\cr 840\cr 840}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q1=\left[\matrix{840\cr 840\cr 840}\right]\left[\matrix{1680\cr 840\cr 840}\right]\left[\matrix{840\cr 0\cr 840}\right]\left[\matrix{1260\cr 420\cr 420}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q2=\left[\matrix{840\cr 0\cr 420}\right]\left[\matrix{1260\cr 420\cr 420}\right]\left[\matrix{420\cr 420\cr 420}\right]\left[\matrix{0\cr 840\cr 840}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q3=\left[\matrix{840\cr 0\cr 560}\right]\left[\matrix{1050\cr 210\cr 630}\right]\left[\matrix{840\cr 0\cr 840}\right]\left[\matrix{840\cr 840\cr 840}\right]\left[\matrix{0\cr 840\cr 840}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q4=\left[\matrix{420\cr 420\cr 420}\right]\left[\matrix{840\cr 0\cr 560}\right]\left[\matrix{630\cr -210\cr 630}\right]\left[\matrix{840\cr 0\cr 840}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q5=\left[\matrix{420\cr 420\cr 420}\right]\left[\matrix{420\cr -420\cr 420}\right]\left[\matrix{840\cr 0\cr 420}\right]\left[\matrix{840\cr 0\cr 560}\right]\left[\matrix{630\cr -210\cr 630}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q6=\left[\matrix{840\cr 0\cr 420}\right]\left[\matrix{1260\cr 420\cr 420}\right]\left[\matrix{840\cr 0\cr 560}\right]\left[\matrix{1050\cr 210\cr 630}\right]\left[\matrix{840\cr 840\cr 840}\right]\left[\matrix{0\cr 840\cr 840}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q7=\left[\matrix{840\cr -840\cr 840}\right]\left[\matrix{0\cr -840\cr 840}\right]\left[\matrix{840\cr 0\cr 840}\right]\left[\matrix{420\cr -420\cr 420}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q8=\left[\matrix{840\cr 0\cr 420}\right]\left[\matrix{420\cr -420\cr 420}\right]\left[\matrix{1260\cr -420\cr 420}\right]\left[\matrix{1680\cr -840\cr 840}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q9=\left[\matrix{840\cr 0\cr 560}\right]\left[\matrix{630\cr -210\cr 630}\right]\left[\matrix{840\cr 0\cr 840}\right]\left[\matrix{840\cr -840\cr 840}\right]\left[\matrix{1680\cr -840\cr 840}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q10=\left[\matrix{1260\cr -420\cr 420}\right]\left[\matrix{840\cr 0\cr 560}\right]\left[\matrix{1050\cr 210\cr 630}\right]\left[\matrix{840\cr 0\cr 840}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q11=\left[\matrix{1260\cr -420\cr 420}\right]\left[\matrix{1260\cr 420\cr 420}\right]\left[\matrix{840\cr 0\cr 420}\right]\left[\matrix{840\cr 0\cr 560}\right]\left[\matrix{1050\cr 210\cr 630}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q12=\left[\matrix{840\cr 0\cr 420}\right]\left[\matrix{420\cr -420\cr 420}\right]\left[\matrix{840\cr 0\cr 560}\right]\left[\matrix{630\cr -210\cr 630}\right]\left[\matrix{840\cr -840\cr 840}\right]\left[\matrix{1680\cr -840\cr 840}\right]
\end{eqnarray}

dogbone partition A2
\begin{eqnarray}
\nonumber
Q0(12,1)=\left[\matrix{840\cr -840\cr 840}\right]\left[\matrix{1680\cr -840\cr 840}\right]\left[\matrix{1050\cr -630\cr 630}\right]\left[\matrix{1120\cr -280\cr 560}\right]\left[\matrix{1050\cr -210\cr 630}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q1(10,2)=\left[\matrix{1260\cr -420\cr 420}\right]\left[\matrix{840\cr 0\cr 560}\right]\left[\matrix{1050\cr 210\cr 630}\right]\left[\matrix{840\cr 0\cr 630}\right]\left[\matrix{1120\cr -280\cr 560}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q2(10,3)=\left[\matrix{840\cr 0\cr 840}\right]\left[\matrix{840\cr 0\cr 672}\right]\left[\matrix{1050\cr -210\cr 630}\right]\left[\matrix{980\cr 140\cr 700}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q3(12,4)=\left[\matrix{840\cr -560\cr 560}\right]\left[\matrix{630\cr -630\cr 630}\right]\left[\matrix{560\cr -280\cr 560}\right]\left[\matrix{560\cr -560\cr 560}\right]\left[\matrix{525\cr -315\cr 525}\right]\left[\matrix{672\cr -168\cr 504}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q4(12,5)=\left[\matrix{420\cr -420\cr 420}\right]\left[\matrix{840\cr 0\cr 420}\right]\left[\matrix{840\cr -560\cr 560}\right]\left[\matrix{672\cr -168\cr 504}\right]\left[\matrix{560\cr -560\cr 560}\right]\left[\matrix{525\cr -315\cr 525}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q5(10,6)=\left[\matrix{1050\cr 210\cr 630}\right]\left[\matrix{840\cr 0\cr 672}\right]\left[\matrix{1050\cr -210\cr 630}\right]\left[\matrix{840\cr 0\cr 630}\right]\left[\matrix{1120\cr -280\cr 560}\right]\left[\matrix{980\cr 140\cr 700}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q6(12,6)=\left[\matrix{840\cr 0\cr 420}\right]\left[\matrix{840\cr -560\cr 560}\right]\left[\matrix{1050\cr -630\cr 630}\right]\left[\matrix{840\cr -840\cr 840}\right]\left[\matrix{840\cr 0\cr 560}\right]\left[\matrix{630\cr -210\cr 630}\right]\left[\matrix{630\cr -630\cr 630}\right]\left[\matrix{1050\cr -210\cr 630}\right]\left[\matrix{1120\cr -280\cr 560}\right]\left[\matrix{560\cr -280\cr 560}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q7(7,7)=\left[\matrix{840\cr -840\cr 840}\right]\left[\matrix{0\cr -840\cr 840}\right]\left[\matrix{840\cr 0\cr 840}\right]\left[\matrix{210\cr -630\cr 630}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q8(8,7)=\left[\matrix{1680\cr -840\cr 840}\right]\left[\matrix{420\cr -420\cr 420}\right]\left[\matrix{1120\cr -280\cr 560}\right]\left[\matrix{1470\cr -630\cr 630}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q9(8,8)=\left[\matrix{840\cr 0\cr 420}\right]\left[\matrix{420\cr -420\cr 420}\right]\left[\matrix{1260\cr -420\cr 420}\right]\left[\matrix{1400\cr -560\cr 560}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q10(9,8)=\left[\matrix{1680\cr -840\cr 840}\right]\left[\matrix{840\cr 0\cr 560}\right]\left[\matrix{630\cr -210\cr 630}\right]\left[\matrix{840\cr 0\cr 630}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q11(11,8)=\left[\matrix{840\cr 0\cr 420}\right]\left[\matrix{1260\cr -420\cr 420}\right]\left[\matrix{840\cr 0\cr 560}\right]\left[\matrix{1050\cr 210\cr 630}\right]\left[\matrix{1120\cr 280\cr 560}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q12(7,9)=\left[\matrix{280\cr -560\cr 560}\right]\left[\matrix{210\cr -630\cr 630}\right]\left[\matrix{840\cr 0\cr 840}\right]\left[\matrix{840\cr -840\cr 840}\right]\left[\matrix{630\cr -630\cr 630}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q13(9,9)=\left[\matrix{840\cr 0\cr 840}\right]\left[\matrix{840\cr -840\cr 840}\right]\left[\matrix{1680\cr -840\cr 840}\right]\left[\matrix{840\cr 0\cr 672}\right]\left[\matrix{700\cr -140\cr 700}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q14(7,10)=\left[\matrix{280\cr -560\cr 560}\right]\left[\matrix{630\cr -210\cr 630}\right]\left[\matrix{840\cr 0\cr 840}\right]\left[\matrix{630\cr -630\cr 630}\right]\left[\matrix{560\cr -560\cr 560}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q15(11,10)=\left[\matrix{1260\cr -420\cr 420}\right]\left[\matrix{1120\cr 280\cr 560}\right]\left[\matrix{1155\cr 315\cr 525}\right]\left[\matrix{1008\cr 168\cr 504}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q16(7,11)=\left[\matrix{420\cr -420\cr 420}\right]\left[\matrix{280\cr -560\cr 560}\right]\left[\matrix{630\cr -210\cr 630}\right]\left[\matrix{560\cr -560\cr 560}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q17(11,11)=\left[\matrix{1260\cr -420\cr 420}\right]\left[\matrix{1260\cr 420\cr 420}\right]\left[\matrix{840\cr 0\cr 420}\right]\left[\matrix{1008\cr 168\cr 504}\right]\left[\matrix{1155\cr 315\cr 525}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q18(8,12)=\left[\matrix{840\cr 0\cr 420}\right]\left[\matrix{420\cr -420\cr 420}\right]\left[\matrix{1470\cr -630\cr 630}\right]\left[\matrix{1400\cr -560\cr 560}\right]\left[\matrix{1120\cr -280\cr 560}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q19(9,12)=\left[\matrix{840\cr -840\cr 840}\right]\left[\matrix{1680\cr -840\cr 840}\right]\left[\matrix{630\cr -210\cr 630}\right]\left[\matrix{840\cr 0\cr 672}\right]\left[\matrix{840\cr 0\cr 630}\right]\left[\matrix{700\cr -140\cr 700}\right]
\end{eqnarray}

dogbone partition A4
\begin{eqnarray}
\nonumber
Q0=\left[\matrix{103950\cr -62370\cr 62370}\right]\left[\matrix{124740\cr -41580\cr 62370}\right]\left[\matrix{118800\cr -35640\cr 59400}\right]\left[\matrix{106920\cr -23760\cr 59400}\right]\left[\matrix{108108\cr -24948\cr 58212}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q1=\left[\matrix{103950\cr -20790\cr 62370}\right]\left[\matrix{116424\cr -66528\cr 66528}\right]\left[\matrix{99792\cr -66528\cr 66528}\right]\left[\matrix{97020\cr -69300\cr 69300}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q2=\left[\matrix{103950\cr -62370\cr 62370}\right]\left[\matrix{103950\cr -20790\cr 62370}\right]\left[\matrix{116424\cr -66528\cr 66528}\right]\left[\matrix{124740\cr -41580\cr 62370}\right]\left[\matrix{106920\cr -23760\cr 59400}\right]\left[\matrix{99792\cr -66528\cr 66528}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q3=\left[\matrix{83160\cr -83160\cr 83160}\right]\left[\matrix{166320\cr -83160\cr 83160}\right]\left[\matrix{142560\cr -59400\cr 71280}\right]\left[\matrix{135135\cr -51975\cr 72765}\right]\left[\matrix{135135\cr -72765\cr 72765}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q4=\left[\matrix{103950\cr -20790\cr 62370}\right]\left[\matrix{124740\cr -41580\cr 62370}\right]\left[\matrix{116424\cr -33264\cr 66528}\right]\left[\matrix{97020\cr -41580\cr 69300}\right]\left[\matrix{99792\cr -49896\cr 66528}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q5=\left[\matrix{103950\cr -62370\cr 62370}\right]\left[\matrix{110880\cr -27720\cr 55440}\right]\left[\matrix{118800\cr -35640\cr 59400}\right]\left[\matrix{108108\cr -24948\cr 58212}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q6=\left[\matrix{83160\cr -83160\cr 83160}\right]\left[\matrix{142560\cr -59400\cr 71280}\right]\left[\matrix{138600\cr -55440\cr 69300}\right]\left[\matrix{124740\cr -41580\cr 69300}\right]\left[\matrix{135135\cr -51975\cr 72765}\right]\left[\matrix{135135\cr -72765\cr 72765}\right]\left[\matrix{130680\cr -71280\cr 71280}\right]\left[\matrix{114345\cr -72765\cr 72765}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q7=\left[\matrix{133056\cr -49896\cr 66528}\right]\left[\matrix{138600\cr -55440\cr 69300}\right]\left[\matrix{124740\cr -41580\cr 69300}\right]\left[\matrix{124740\cr -69300\cr 69300}\right]\left[\matrix{130680\cr -71280\cr 71280}\right]\left[\matrix{114345\cr -72765\cr 72765}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q8=\left[\matrix{83160\cr -83160\cr 83160}\right]\left[\matrix{116424\cr -66528\cr 66528}\right]\left[\matrix{124740\cr -41580\cr 62370}\right]\left[\matrix{124740\cr -69300\cr 69300}\right]\left[\matrix{133056\cr -49896\cr 66528}\right]\left[\matrix{116424\cr -33264\cr 66528}\right]\left[\matrix{124740\cr -41580\cr 69300}\right]\left[\matrix{97020\cr -41580\cr 69300}\right]\left[\matrix{97020\cr -69300\cr 69300}\right]\left[\matrix{99792\cr -49896\cr 66528}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q9=\left[\matrix{83160\cr -166320\cr 83160}\right]\left[\matrix{116424\cr -66528\cr 66528}\right]\left[\matrix{97020\cr -97020\cr 69300}\right]\left[\matrix{99792\cr -66528\cr 66528}\right]\left[\matrix{97020\cr -69300\cr 69300}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q10=\left[\matrix{103950\cr -62370\cr 62370}\right]\left[\matrix{116424\cr -66528\cr 66528}\right]\left[\matrix{97020\cr -97020\cr 69300}\right]\left[\matrix{99792\cr -66528\cr 66528}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q11=\left[\matrix{83160\cr -83160\cr 83160}\right]\left[\matrix{166320\cr -83160\cr 83160}\right]\left[\matrix{83160\cr -166320\cr 83160}\right]\left[\matrix{135135\cr -72765\cr 72765}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q12=\left[\matrix{83160\cr -83160\cr 83160}\right]\left[\matrix{83160\cr -166320\cr 83160}\right]\left[\matrix{135135\cr -72765\cr 72765}\right]\left[\matrix{130680\cr -71280\cr 71280}\right]\left[\matrix{114345\cr -72765\cr 72765}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q13=\left[\matrix{83160\cr -83160\cr 83160}\right]\left[\matrix{83160\cr -166320\cr 83160}\right]\left[\matrix{116424\cr -66528\cr 66528}\right]\left[\matrix{124740\cr -69300\cr 69300}\right]\left[\matrix{97020\cr -69300\cr 69300}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q14=\left[\matrix{83160\cr -166320\cr 83160}\right]\left[\matrix{124740\cr -69300\cr 69300}\right]\left[\matrix{130680\cr -71280\cr 71280}\right]\left[\matrix{114345\cr -72765\cr 72765}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q15=\left[\matrix{83160\cr 55440\cr 55440}\right]\left[\matrix{41580\cr 41580\cr 62370}\right]\left[\matrix{35640\cr 47520\cr 59400}\right]\left[\matrix{41580\cr 41580\cr 58212}\right]\left[\matrix{41580\cr 58212\cr 58212}\right]\left[\matrix{55440\cr 55440\cr 55440}\right]\left[\matrix{47520\cr 35640\cr 59400}\right]\left[\matrix{47520\cr 59400\cr 59400}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q16=\left[\matrix{20790\cr 62370\cr 62370}\right]\left[\matrix{41580\cr 41580\cr 62370}\right]\left[\matrix{35640\cr 47520\cr 59400}\right]\left[\matrix{41580\cr 58212\cr 58212}\right]\left[\matrix{47520\cr 59400\cr 59400}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q17=\left[\matrix{0\cr 83160\cr 83160}\right]\left[\matrix{10395\cr 72765\cr 72765}\right]\left[\matrix{23760\cr 59400\cr 71280}\right]\left[\matrix{41580\cr 69300\cr 69300}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q18=\left[\matrix{20790\cr 62370\cr 62370}\right]\left[\matrix{83160\cr 55440\cr 55440}\right]\left[\matrix{62370\cr 62370\cr 62370}\right]\left[\matrix{41580\cr 41580\cr 62370}\right]\left[\matrix{16632\cr 66528\cr 66528}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q19=\left[\matrix{55440\cr 27720\cr 55440}\right]\left[\matrix{83160\cr 55440\cr 55440}\right]\left[\matrix{41580\cr 41580\cr 58212}\right]\left[\matrix{55440\cr 55440\cr 55440}\right]\left[\matrix{47520\cr 35640\cr 59400}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q20=\left[\matrix{13860\cr 69300\cr 69300}\right]\left[\matrix{10395\cr 72765\cr 72765}\right]\left[\matrix{23760\cr 59400\cr 71280}\right]\left[\matrix{27720\cr 55440\cr 69300}\right]\left[\matrix{41580\cr 69300\cr 69300}\right]\left[\matrix{49896\cr 66528\cr 66528}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q21=\left[\matrix{62370\cr 62370\cr 62370}\right]\left[\matrix{13860\cr 69300\cr 69300}\right]\left[\matrix{33264\cr 49896\cr 66528}\right]\left[\matrix{27720\cr 55440\cr 69300}\right]\left[\matrix{49896\cr 66528\cr 66528}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q22=\left[\matrix{62370\cr 62370\cr 62370}\right]\left[\matrix{41580\cr 41580\cr 62370}\right]\left[\matrix{16632\cr 66528\cr 66528}\right]\left[\matrix{13860\cr 69300\cr 69300}\right]\left[\matrix{33264\cr 49896\cr 66528}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q23=\left[\matrix{83160\cr 55440\cr 55440}\right]\left[\matrix{55440\cr 83160\cr 55440}\right]\left[\matrix{74844\cr 58212\cr 58212}\right]\left[\matrix{55440\cr 55440\cr 55440}\right]\left[\matrix{95040\cr 59400\cr 59400}\right]
\end{eqnarray}

\begin{eqnarray}
\nonumber
Q24=\left[\matrix{103950\cr 62370\cr 62370}\right]\left[\matrix{55440\cr 83160\cr 55440}\right]\left[\matrix{74844\cr 58212\cr 58212}\right]\left[\matrix{95040\cr 59400\cr 59400}\right]
\end{eqnarray}

