History of Zeros of Bessel functions of the first kind $J_\alpha$

   reliability: computed with mpmath CITE{mpmath}   rigour: heuristic (agreement-checked)-  rigour details: A fixed-precision value wrapped in an interval field, which records-    no error of its own. The working precision was half as many digits again as were-    written, and nothing checked that the margin sufficed.+  rigour details: 'Computed twice at different working precisions, keeping only the+    digits both computations support. That bounds the error from working precision+    and nothing else: two runs of the same method agree even when the method is wrong.' Display properties:   number-header: $n$<sup>th</sup> root of $J_\alpha$