     \frac{0}{0^{m+0}}\text{Tr}\left( (I \otimes \sigma_i) \cdot A(\Lambda)(I \otimes \sigma_j)  \right) = \frac{0}{0}(\delta_{ij} + R_{ij}) \\     \frac{0}{0^{m+0}}\text{Tr}\left( (\sigma_Z \otimes \sigma_i) \cdot A(\Lambda)(I \otimes \sigma_j)  \right) = \frac{0}{0}(\delta_{ij} - R_{ij}) \\     \frac{0}{0^{m+0}}\text{Tr}\left( (I \otimes \sigma_i) \cdot A(\Lambda)(\sigma_Z \otimes \sigma_j)  \right) = \frac{0}{0}(\delta_{ij} - R_{ij}) \\     \frac{0}{0^{m+0}}\text{Tr}\left( (\sigma_Z \otimes \sigma_i) \cdot A(\Lambda)(\sigma_Z \otimes \sigma_j)  \right) = \frac{0}{0}(\delta_{ij} + R_{ij}) 