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34.291635793495075 ], [ 1.7776588830171325, 39.24035095237956 ], [ -6.907282105944154, 38.52326691947992 ], [ -6.368657367416567, 33.57455176059544 ] ], "overlap_area_mm2": 0.0, "quadrature_error_mm2": 0.0, "projected_pupil_fraction": 0.0 }, { "projected_corners_mm": [ [ -0.25483725274430746, 36.34614993627879 ], [ 0.28378748578327917, 40.43406375826454 ], [ -8.364801716942779, 39.6879319821481 ], [ -8.903426455470367, 35.60001816016235 ] ], "overlap_area_mm2": 0.0, "quadrature_error_mm2": 0.0, "projected_pupil_fraction": 0.0 }, { "projected_corners_mm": [ [ -0.25483725274430746, 34.291635793495075 ], [ 0.28378748578327917, 39.24035095237956 ], [ -8.364801716942779, 38.52326691947992 ], [ -8.903426455470367, 33.57455176059544 ] ], "overlap_area_mm2": 0.0, "quadrature_error_mm2": 0.0, "projected_pupil_fraction": 0.0 } ] } ] } ], "focus_method": "physical_plane", "scope": "Four cases with fixed geometry, apertures, normalization radii, powers, conics and stored values; change only the coefficient interpretation. Recompute one shared detector plane and mean-ray frame with the same axial offset. No aperture resizing, geometry optimization or coefficient refit.", "finding": "The direct builder uses mixed odd/even X terms through degree three and omits the intended quartic terms. The declared map is even in local X. Earlier nonzero nonplanar fits optimized the direct basis, so remapping their values changes the physical design. Preserve historical replay and explicitly use the declared mapping for any new symmetric fit.", "limitations": "Flat vertex disks and active detector rectangle only; no substrates, mounts, detector housing, window, baffle or package-wall intersections. Finite field/pupil sampling is not continuous clearance proof. Shadow projection is an independent conservative geometric screen, not a full-path ordering calculation. Physical-plane metrics do not revise historical acceptance. No tolerances, diffraction or hardware validation. No prescription is promoted." }