are the Gegenbauer polynomials [@BE53_2] with the normalization fixed below in Eq. (\[normalization\]). The gluon case differs only in the change of the index of the orthogonal polynomial by one unity and shifting $j$ to $j - 1$. Then, the complete sets of conformal twist-2 operators for the flavour singlet chiral-even un- and polarized as well as chiral-odd channels read: $$\label{treeCO}
\left\{\!\!\!
\begin{array}{c}
{^Q\!{\cal O}^V} \\
{^Q\!{\cal O}^A} \\
{^Q\!{\cal O}^T}
\end{array}
\!\!\!\right\}_{jl}
\!=
\bar{\psi} (i \partial_+)^l\!
\left\{\!\!\!
\begin{array}{c}
\gamma_+ \\
\gamma_+ \gamma_5 \\
\sigma_{+\perp} \gamma_5
\end{array}
\!\!\!\right\}
\!C^{\frac{3}{2}}_j\!
\left( \frac{\stackrel{\leftrightarrow}{D}_+}{\partial_+} \right)
\!\psi, \
\left\{\!\!\!
\begin{array}{c}
{^G\!{\cal O}^V} \\
{^G\!{\cal O}^A} \\
{^G\!{\cal O}^T}
\end{array}
\!\!\!\right\}_{jl}
\!=
G_{+ \mu} (i \partial_+)^{l-1}\!
\left\{\!\!\!
\begin{array}{c}
g_{\mu\nu} \\
\epsilon_{\mu\nu+-} \\
0
\end{array}
\!\!\!\right\}
\!C^{\frac{5}{2}}_{j - 1}\!
\left( \frac{\stackrel{\leftrightarrow}{D}_+}{\partial_+} \right)
\!G_{+\nu}.$$ Here $\partial \!= \stackrel{\rightarrow}{\partial}\!\!
+\!\! \stackrel{\leftarrow}{\partial}$ and $\stackrel{\leftrightarrow}{D}
= \stackrel{\rightarrow}{\partial}\!\! -\!\! \stackrel{\leftarrow}{\partial}
\!\!- 2i{\rm g}T^aB^a$ and we suppress the flavour and colour indices for simplicity. The operators we have introduced above mix under the renormalization and their anomalous dimension matrix $$\begin{aligned}
\hat{\bf \gamma}=
\left({
{^{QQ}\!\hat{\gamma}}\ {^{QG}\!\hat{\gamma}}\atop
{^{GQ}\!\hat{\gamma}}\ {^{GG}\!\hat{\gamma}}
}\right),\end{aligned}$$ possesses the square blocks ${^{ik}\!\hat{\gamma}}$ which are triangular matrices. Since the special conformal anomaly does not enter in the conformal constraint (\[conf-constr-KD-1\]) at LO, 