Straightforward way to calculate the prior of a latent model in GPflow

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I'm interested in calculating the prior variance of a two dimensional latent model I've built in GPflow using the folllowing notebook 'Heteroskedastic Likelihood and Multi-Latent GP'.

Currently I'm doing this in a pretty hacky way by asking the model to predict far away from the training data. Looking at the source code it's not obvious I can do this without to having to calculate the quadratures. Is there a simpler way of getting the priors that I've overlooked?

Edit: I'm also interested in generating samples!

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