A parameter table is a set of checked rows, not a curve. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Each parameter row is its own finite snapshot

Rows for one half, three quarters, and 1 are checked separately.

p{12,34,1}p\in\left\{\frac{1}{2},\frac{3}{4},1\right\}
Parameter snapshot tableThe table is not a smooth bifurcation claim.mapFamily=reflectionrows=x=1/4|p=1/2:P1|p=3/4:P2|p=1:P2

The table classifies only the displayed rows

The first row is period one; the next two rows are period two.

(1,0),(0,1),(0,1)(1,0),(0,1),(0,1)
Finite row classificationNo attractor or chaos onset is inferred.mapFamily=reflectionrows=x=1/4|p=1/2:P1|p=3/4:P2|p=1:P2