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. Author manuscript; available in PMC: 2018 Mar 9.

Published in final edited form as: Discrete Continuous Dyn Syst Ser B. 2017;22(7):2731–2761. doi: 10.3934/dcdsb.2017133

1. $α^{T} A^{(0)} e = \frac{1}{2}$	9. β^{(2)^T}(B⁽¹⁾e)² = 0
2. α^TB⁽⁰⁾e = 1	10. β^{(3)^T}(B⁽¹⁾e)² = −1
3. $α^{T} {(B^{(0)} e)}^{2} = \frac{3}{2}$	10. β^{(3)^T}(B⁽¹⁾e)² = −1
4. β^{(1)^T}A⁽¹⁾e = 1	11. β^{(4)^T}(B⁽¹⁾e)² = 2
5. β^{(2)^T}A⁽¹⁾e = 0	12. β^{(1)^T}(B⁽¹⁾ (B⁽¹⁾e)) = 0
6. β^{(3)^T}A⁽¹⁾e = −1	13. β^{(2)^T} (B⁽¹⁾ (B⁽¹⁾e)) = 0
7. β^{(4)^T}A⁽¹⁾e = 0	14. β^{(3)^T} (B⁽¹⁾ (B⁽¹⁾e)) = 0
8. β^{(1)^T}(B⁽¹⁾e)² = 1	15. β^{(4)^T} (B⁽¹⁾ (B⁽¹⁾e)) = 1
16. $\frac{1}{2} β^{{(1)}^{T}} (A^{(1)} (B^{(0)} e)) + \frac{1}{3} β^{{(3)}^{T}} (A^{(1)} (B^{(0)} e)) = 0$