{ "schema": "clean-lagrangian-pair-bounded-check/v1", "passed": true, "checks": [ { "name": "full clean planes, radial slice and common Hamilton dimensions", "passed": true, "models": [ { "n": 1, "k": 1, "slice_dimensions": [ 1, 0, 0, 0 ], "common_normals": 1 }, { "n": 2, "k": 1, "slice_dimensions": [ 3, 1, 1, 0 ], "common_normals": 1 }, { "n": 2, "k": 2, "slice_dimensions": [ 3, 1, 1, 1 ], "common_normals": 2 }, { "n": 3, "k": 1, "slice_dimensions": [ 5, 2, 2, 0 ], "common_normals": 1 }, { "n": 3, "k": 2, "slice_dimensions": [ 5, 2, 2, 1 ], "common_normals": 2 }, { "n": 4, "k": 3, "slice_dimensions": [ 7, 3, 3, 2 ], "common_normals": 3 }, { "n": 4, "k": 4, "slice_dimensions": [ 7, 3, 3, 3 ], "common_normals": 4 } ], "scope": "Exact model tangent spaces and the annihilator-to-Hamilton identification; arbitrary clean charts remain in Lemma 1.1." }, { "name": "full simultaneous homogeneous rotation and paired permutation", "passed": true, "models": [ { "n": 2, "k": 2, "paired_permutation": [ 1, 2 ], "both_full_model_images_and_reverse_containments": true, "primitive_form_degrees_inverse_marked_point": true }, { "n": 3, "k": 2, "paired_permutation": [ 1, 3, 2 ], "both_full_model_images_and_reverse_containments": true, "primitive_form_degrees_inverse_marked_point": true }, { "n": 3, "k": 3, "paired_permutation": [ 1, 2, 3 ], "both_full_model_images_and_reverse_containments": true, "primitive_form_degrees_inverse_marked_point": true }, { "n": 4, "k": 2, "paired_permutation": [ 1, 4, 2, 3 ], "both_full_model_images_and_reverse_containments": true, "primitive_form_degrees_inverse_marked_point": true }, { "n": 4, "k": 3, "paired_permutation": [ 1, 2, 4, 3 ], "both_full_model_images_and_reverse_containments": true, "primitive_form_degrees_inverse_marked_point": true }, { "n": 4, "k": 4, "paired_permutation": [ 1, 2, 3, 4 ], "both_full_model_images_and_reverse_containments": true, "primitive_form_degrees_inverse_marked_point": true }, { "n": 5, "k": 3, "paired_permutation": [ 1, 2, 5, 3, 4 ], "both_full_model_images_and_reverse_containments": true, "primitive_form_degrees_inverse_marked_point": true } ], "scope": "All coordinates, rational identities, both model directions and two-sided inverses in seven dimensions/index counts; 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