Theta functions are tabulated in Jahnke and Emde (1945, p. 45). This reference gives , , and their logarithmic -derivatives to 4D for , , where is the modular angle given by
Lawden (1989, pp. 270–279) tabulates , , to 5D for , , and also to 5D for .
Tables of Neville’s theta functions , , , (see §20.1) and their logarithmic -derivatives are given in Abramowitz and Stegun (1964, pp. 582–585) to 9D for , where (in radian measure) , and is defined by (20.15.1).