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    $\begingroup$ Is there really no way you can cut down your example to a smaller one which also shows the discrepancy? I am sure you can find a smaller set of terms, perhaps try randomly choosing small sets of terms ... $\endgroup$ Commented Apr 30 at 13:33
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    $\begingroup$ @Domen I will try running a loop that will repeat this calc for half the number of terms, and if there is discrepancy, half still, and so on, till the smallest T with discrepancy is found. I will update here. $\endgroup$ Commented Apr 30 at 13:37
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    $\begingroup$ Are you sure that you can interchange the limit and sum operations in this case? $\endgroup$ Commented Apr 30 at 15:34
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    $\begingroup$ @march yes. The each term is well behaved without singularities and there are finite number of terms. No reason why interchange will cause an issue. $\endgroup$ Commented Apr 30 at 16:21
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    $\begingroup$ @Domen the file named findingShortestT.wl on github was my attempt to find smaller expression for T that has this discrepancy. The code iteratively looks for discrepancy in the first 1, 2, 4, 8, 16, 32, 64 and 114 terms. Sadly, after running or long, only the 114 loop gave discrepancy. $\endgroup$ Commented Apr 30 at 19:32