R17 exploratory implementation record, 27 October 2026

Primary R10.1 results and the exploratory outcomes were known before this
implementation record. This is not a prospective preregistration and does not
replace any original frozen specification.

Vocabulary, original length domain, comparisons and rounding follow R10.1.
Enumerate primitive integer-coefficient equations in 2 or 3 distinct segments.
Use all signs and positions, identifying an equation with its overall negative.
Exclude all-positive sums because the physical segment lengths are positive.
Coefficient budgets: sum absolute coefficient values <=3, <=4 and <=5.
Report all resulting central root classes, not only qualifying classes.
Repeat budgets 4 and 5 with the same historical ideal volume constraint Lh=K
for every equation. Budget-3 fixed-height roots reproduce the original 127.

Deterministic sensitivity: 21 equally spaced W,H,h values in each of the
existing bounds [205.92,206.16], [229.94,230.24], [41.14,41.50] in.
Rank every admissible root against fixed historical length target 90.60 in.
Report central ranking, grid ranking and acceptance separately.
Grid counts are neither probabilities nor continuous-domain certification.
No significance threshold or historical intent inference is added.

Only grammar, joint-rule, bounded-input and target-sensitivity calculations
are included here. The original measurements, outputs, thresholds and frozen
protocols remain unchanged in R01-R16 and the protocol directories.
