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When I try to add additional log variables to BasiclogSync.py file, it gives an error when there are more than 9 variables. Is there a way to get the log data from more than 10 variables using python client?

You need to create and start and add a new log configuration. Each log config corresponds to a log block and a log block is sent in a single radio packets. Radio packets are limited to a size of 32bytes maximum which limits the number of log variables in a block. The limit depends of the size of the variable, for float it is 7 floats in a log block.