# omega              z^2                         x^2-y^2                     xz                          yz                          xy                          
# omega              z^2                         x^2-y^2                     xz                          yz                          xy                          
# omega              z^2                         x^2-y^2                     xz                          yz                          xy                          
# omega              z^2                         x^2-y^2                     xz                          yz                          xy                          
# omega              z^2                         x^2-y^2                     xz                          yz                          xy                          
# omega              z^2                         x^2-y^2                     xz                          yz                          xy                          
# omega              z^2                         x^2-y^2                     xz                          yz                          xy                          
# omega              z^2                         x^2-y^2                     xz                          yz                          xy                          
# omega              z^2                         x^2-y^2                     xz                          yz                          xy                          
# omega              z^2                         x^2-y^2                     xz                          yz                          xy                          
# omega              z^2                         x^2-y^2                     xz                          yz                          xy                          
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