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+# Engine prototype
+
+## Basis optimization
+
+The size of the Gröbner basis depends a lot on the variable order. So far, I've gotten the best performance with the degree › reverse lexicographic monomial order and the following variable order.
+
+* First, sort by coordinate: $r$, $s$, $x$, $y$, $z$
+* Within each coordinate, put spheres before points: $r_\text{s1}, r_\text{p1}, r_\text{p2}$
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