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1 \begin{table}[H]
2 \centering
3 \small
4 \caption{Exact finite validation of the Algebraic atlas algebraic packet layer.}
5 \label{tab:block10-validation}
6 \begin{tabularx}{\textwidth}{@{}L{0.34\textwidth}rY@{}}
7 \toprule
8 Validation class & Checks & Scope\\
9 \midrule
10 General Packet Compiler & 3,690 & Catalan, Motzkin, and marked quadratic radicals at packet widths two through four\\
11 Catalan Sharp Parity & 7,426 & exact parity system, quartic eliminants, and irreducibility ledger\\
12 Quadratic Radical Collision Phase & 43,900 & generic degree four, antisymmetric cancellation, and rational collapse\\
13 Finite Branch Selectors & 16,632 & finite jets separating explicitly colliding formal branches\\
14 Collision Ledger Combinatorics & 1,440 & finite tuple-collision and selected-orbit defect identities\\
15 \midrule
16 \textbf{Algebraic atlas total} & \textbf{73,088} & \textbf{0 failures}\\
17 Cumulative the preceding certified atlas program & 1,911,944 & frozen prior records plus recomputed Algebraic atlas\\
18 \bottomrule
19 \end{tabularx}
20 \end{table}

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