- * %$\sum_{1\le i\le m} \rho^{2^i} \sum_{1\le j\le i} x^{2^j}$% and,
- * somewhat miraculously, %$z^2 + z = \sum_{0\le i<m} \rho^{2^i} x + {}$%
- * %$\rho \sum_{1\le i<m} x^{2^i} = x \Tr(\rho) + \rho \Tr(x)$%. Again,
+ * %$\sum_{1\le i\le m} \rho^{2^i} \sum_{1\le j<i} x^{2^j} = {}$%
+ * %$\sum_{1\le i<m} \rho^{2^i} \sum_{1\le j<i} x^{2^j} + {}$%
+ * %$\rho^{2^m} \sum_{1\le j<m} x^{2^j}$%; and, somewhat miraculously,
+ * %$z^2 + z = \sum_{1\le i<m} \rho^{2^i} x + {}$%
+ * %$\rho \sum_{1\le i<m} x^{2^i} = x (\Tr(\rho) + \rho) + {}$%
+ * %$\rho (\Tr(x) + x) = x \Tr(\rho) + \rho \Tr(x)$%. Again,