[K3] Reduce 433-1b cell 11 to an exact compact tower - #1154
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…3 closed; universal structure (204 nodes pinned) Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01EaFM28YvmBtkP3JEgeiBuC
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Summary
This stacked K3 packet turns the public 433-1b cell-11 pivot pilot into an exact guarded compact presentation over
F_2130706433.The public pilot records
quotient_exact=falseat every pivot, so its original nine-generator projection cannot support a closure argument. This packet keeps that negative fact explicit and supplies a replacement at source signepsilon=(-1,-1), pivot 1:The selected
c_row=5tower has basis size 43. Its two boundary quartics each factor as one linear factor times an irreducible cubic; at the unique deployedrlift, the induced quadratic inbhas a nonsquare discriminant. Sage and Wolfram independently reproduced these finite-field checks.Status and scope
This is deliberately
EXPERIMENTAL_REVIEW_REQUIRED/ YELLOW. It is PR-worthy structural progress toward the sole remaining exported role orbit[11], but it does not compute the complete signed-pair resultant, establish sign or outside-role transport, perform labeled add-back, project to distinct affine slopes, move a v4 ledger atom, or close K3.The packet is stacked on #1153, which is stacked on #1152. It does not duplicate another open cell-11 PR.
The falsified FLOOR-v2 random-word first-moment route is not used. No bound for the exact sparse-layer maximum
S_sparseis claimed.Validation
Fresh independent review is still required before using this packet in a cell-11 orbit closure.