Tabulated for $k^2=0(.01)1$ to 6D by Byrd and Friedman (1971), to 15D for $K\left(k\right)$ and 9D for $E\left(k\right)$ by Abramowitz and Stegun (1964, Chapter 17), and to 10D by Fettis and Caslin (1964).

Tabulated for $k=0(.01)1$ to 10D by Fettis and Caslin (1964), and for $k=0(.02)1$ to 7D by Zhang and Jin (1996, p. 673).

Tabulated for $\arcsin k=0(1^{\circ }){90}^{\circ }$ to 6D by Byrd and Friedman (1971) and to 15D by Abramowitz and Stegun (1964, Chapter 17).

Tabulated with $k=R{\mathrm{e}}^{\mathrm{i}\theta }$ for $R=0(.01)1$ and $\theta =0(1^{\circ }){90}^{\circ }$ to 11D by Fettis and Caslin (1969).

Tabulated for $k^2=0(.01)1$ to 6D by Byrd and Friedman (1971) and to 15D by Abramowitz and Stegun (1964, Chapter 17).

Tabulated for $\arcsin k=0(1^{\circ }){90}^{\circ }$ to 6D by Byrd and Friedman (1971) and to 15D by Abramowitz and Stegun (1964, Chapter 17).

Tabulated for $k^2=0(.001)1$ to 8D by Beli͡akov et al. (1962).

Tabulated for $\varphi =0(5^{\circ }){90}^{\circ }$, $k^2=0(.01)1$ to 10D by Fettis and Caslin (1964).

Tabulated for $\varphi =0(1^{\circ }){90}^{\circ }$, $k^2=0(.01)1$ to 7S by Beli͡akov et al. (1962). ($F(\varphi ,k)$ is presented as $\mathrm{\Pi }(\varphi ,0,k)$.)

Tabulated for $\varphi =0(5^{\circ }){90}^{\circ }$, $k=0(.01)1$ to 10D by Fettis and Caslin (1964).

Tabulated for $\varphi =0(5^{\circ }){90}^{\circ }$, $\arcsin k=0(1^{\circ }){90}^{\circ }$ to 6D by Byrd and Friedman (1971), for $\varphi =0(5^{\circ }){90}^{\circ }$, $\arcsin k=0(2^{\circ }){90}^{\circ }$ and $5^{\circ }({10}^{\circ }){85}^{\circ }$ to 8D by Abramowitz and Stegun (1964, Chapter 17), and for $\varphi =0({10}^{\circ }){90}^{\circ }$, $\arcsin k=0(5^{\circ }){90}^{\circ }$ to 9D by Zhang and Jin (1996, pp. 674–675).

Tabulated (with different notation) for $\varphi =0({15}^{\circ }){90}^{\circ }$, ${\alpha }^2=0(.1)1$, $\arcsin k=0({15}^{\circ }){90}^{\circ }$ to 5D by Abramowitz and Stegun (1964, Chapter 17), and for $\varphi =0({15}^{\circ }){90}^{\circ }$, ${\alpha }^2=0(.1)1$, $\arcsin k=0({15}^{\circ }){90}^{\circ }$ to 7D by Zhang and Jin (1996, pp. 676–677).

Tabulated for $\varphi =5^{\circ }(5^{\circ }){80}^{\circ }({2.5}^{\circ }){90}^{\circ }$, ${\alpha }^2=-1(.1)-0.1,0.1(.1)1$, $k^2=0(.05)0.9(.02)1$ to 10D by Fettis and Caslin (1964) (and warns of inaccuracies in Selfridge and Maxfield (1958) and Paxton and Rollin (1959)).

Tabulated for $\varphi =0(1^{\circ }){90}^{\circ }$, ${\alpha }^2=0(.05)0.85,0.88(.02)0.94(.01)0.98(.005)1$, $k^2=0(.01)1$ to 7S by Beli͡akov et al. (1962).

Tabulated for $x=0(.1)1$, $y=1(.2)6$ to 3D by Nellis and Carlson (1966).

Tabulated for $\sigma =0(.05)0.5(.1)1(.2)2(.5)5$, $\cos \left(3\gamma \right)=-1(.2)1$ to 5D by Carlson (1961a). Here ${\sigma }^2=\frac{2}{3}({(\ln a)}^2+{(\ln b)}^2+{(\ln c)}^2)$, $\cos \left(3\gamma \right)=(4/{\sigma }^3)(\ln a)(\ln b)(\ln c)$, and $a,b,c$ are semiaxes of an ellipsoid with the same volume as the unit sphere.

For check values of symmetric integrals with real or complex variables to 14S see Carlson (1995).