user: Provide the full official documentation entry for Mathutils, preserving all code examples.

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AlphaUnderStrip(EffectStrip) AnimData(bpy_struct) AnimDataDrivers(bpy_struct) AnimViz(bpy_struct) AnimVizMotionPaths(bpy_struct) Annotation(ID) AnnotationFrame(bpy_struct) AnnotationFrames(bpy_struct) AnnotationLayer(bpy_struct) AnnotationLayers(bpy_struct) AnnotationStroke(bpy_struct) AnnotationStrokePoint(bpy_struct) AnyType(bpy_struct) Area(bpy_struct) AreaLight(Light) AreaSpaces(bpy_struct) Armature(ID) ArmatureBones(bpy_struct) ArmatureConstraint(Constraint) ArmatureConstraintTargets(bpy_struct) ArmatureEditBones(bpy_struct) ArmatureModifier(Modifier) ArrayModifier(Modifier) AssetLibraryCollection(bpy_struct) AssetLibraryReference(bpy_struct) AssetMetaData(bpy_struct) AssetRepresentation(bpy_struct) AssetShelf(bpy_struct) AssetTag(bpy_struct) AssetTags(bpy_struct) AssetWeakReference(bpy_struct) Attribute(bpy_struct) AttributeGroupCurves(bpy_struct) AttributeGroupGreasePencil(bpy_struct) AttributeGroupGreasePencilDrawing(bpy_struct) AttributeGroupMesh(bpy_struct) AttributeGroupPointCloud(bpy_struct) BakeSettings(bpy_struct) BevelModifier(Modifier) BezierSplinePoint(bpy_struct) BlendData(bpy_struct) BlendDataActions(bpy_struct) BlendDataAnnotations(bpy_struct) BlendDataArmatures(bpy_struct) BlendDataBrushes(bpy_struct) BlendDataCacheFiles(bpy_struct) BlendDataCameras(bpy_struct) BlendDataCollections(bpy_struct) BlendDataCurves(bpy_struct) BlendDataFonts(bpy_struct) BlendDataGreasePencilsV3(bpy_struct) BlendDataHairCurves(bpy_struct) BlendDataImages(bpy_struct) BlendDataLattices(bpy_struct) BlendDataLibraries(bpy_struct) BlendDataLights(bpy_struct) BlendDataLineStyles(bpy_struct) BlendDataMasks(bpy_struct) BlendDataMaterials(bpy_struct) BlendDataMeshes(bpy_struct) BlendDataMetaBalls(bpy_struct) BlendDataMovieClips(bpy_struct) BlendDataNodeTrees(bpy_struct) BlendDataObjects(bpy_struct) BlendDataPaintCurves(bpy_struct) BlendDataPalettes(bpy_struct) BlendDataParticles(bpy_struct) BlendDataPointClouds(bpy_struct) BlendDataProbes(bpy_struct) 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CompositorNodeBilateralblur(CompositorNode) CompositorNodeBlur(CompositorNode) CompositorNodeBokehBlur(CompositorNode) CompositorNodeBokehImage(CompositorNode) CompositorNodeBoxMask(CompositorNode) CompositorNodeBrightContrast(CompositorNode) CompositorNodeChannelMatte(CompositorNode) CompositorNodeChromaMatte(CompositorNode) CompositorNodeColorBalance(CompositorNode) CompositorNodeColorCorrection(CompositorNode) CompositorNodeColorMatte(CompositorNode) CompositorNodeColorSpill(CompositorNode) CompositorNodeCombineColor(CompositorNode) CompositorNodeConvertColorSpace(CompositorNode) CompositorNodeConvertToDisplay(CompositorNode) CompositorNodeConvolve(CompositorNode) CompositorNodeCornerPin(CompositorNode) CompositorNodeCrop(CompositorNode) CompositorNodeCryptomatte(CompositorNode) CompositorNodeCryptomatteV2(CompositorNode) CompositorNodeCurveRGB(CompositorNode) CompositorNodeCustomGroup(CompositorNode) CompositorNodeDBlur(CompositorNode) CompositorNodeDefocus(CompositorNode) 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CompositorNodeSwitch(CompositorNode) CompositorNodeSwitchView(CompositorNode) CompositorNodeTime(CompositorNode) CompositorNodeTonemap(CompositorNode) CompositorNodeTrackPos(CompositorNode) CompositorNodeTransform(CompositorNode) CompositorNodeTranslate(CompositorNode) CompositorNodeTree(NodeTree) CompositorNodeVecBlur(CompositorNode) CompositorNodeViewer(CompositorNode) CompositorNodeZcombine(CompositorNode) ConsoleLine(bpy_struct) Constraint(bpy_struct) ConstraintTarget(bpy_struct) ConstraintTargetBone(bpy_struct) Context(bpy_struct) CopyLocationConstraint(Constraint) CopyRotationConstraint(Constraint) CopyScaleConstraint(Constraint) CopyTransformsConstraint(Constraint) CorrectiveSmoothModifier(Modifier) CrossStrip(EffectStrip) CryptomatteEntry(bpy_struct) Curve(ID) CurveMap(bpy_struct) CurveMapPoint(bpy_struct) CurveMapPoints(bpy_struct) CurveMapping(bpy_struct) CurveModifier(Modifier) CurvePaintSettings(bpy_struct) CurvePoint(bpy_struct) CurveProfile(bpy_struct) CurveProfilePoint(bpy_struct) CurveProfilePoints(bpy_struct) CurveSlice(bpy_struct) CurveSplines(bpy_struct) Curves(ID) CurvesModifier(StripModifier) CurvesSculpt(Paint) DATA_UL_bone_collections(UIList) DampedTrackConstraint(Constraint) DataTransferModifier(Modifier) DecimateModifier(Modifier) Depsgraph(bpy_struct) DepsgraphObjectInstance(bpy_struct) DepsgraphUpdate(bpy_struct) DisplaceModifier(Modifier) DisplaySafeAreas(bpy_struct) DistortedNoiseTexture(Texture) DopeSheet(bpy_struct) Driver(bpy_struct) DriverTarget(bpy_struct) DriverVariable(bpy_struct) DynamicPaintBrushSettings(bpy_struct) DynamicPaintCanvasSettings(bpy_struct) DynamicPaintModifier(Modifier) DynamicPaintSurface(bpy_struct) DynamicPaintSurfaces(bpy_struct) EQCurveMappingData(bpy_struct) EdgeSplitModifier(Modifier) EditBone(bpy_struct) EffectStrip(Strip) EffectorWeights(bpy_struct) EnumProperty(Property) EnumPropertyItem(bpy_struct) EvaluateClosureNodeViewerPathElem(ViewerPathElem) Event(bpy_struct) ExplodeModifier(Modifier) FCurve(bpy_struct) FCurveKeyframePoints(bpy_struct) FCurveModifiers(bpy_struct) FCurveSample(bpy_struct) FFmpegSettings(bpy_struct) FILEBROWSER_UL_dir(UIList) FModifier(bpy_struct) FModifierCycles(FModifier) FModifierEnvelope(FModifier) FModifierEnvelopeControlPoint(bpy_struct) FModifierEnvelopeControlPoints(bpy_struct) FModifierFunctionGenerator(FModifier) FModifierGenerator(FModifier) FModifierLimits(FModifier) FModifierNoise(FModifier) FModifierStepped(FModifier) FieldSettings(bpy_struct) FileAssetSelectIDFilter(bpy_struct) FileAssetSelectParams(FileSelectParams) FileBrowserFSMenuEntry(bpy_struct) FileHandler(bpy_struct) FileSelectEntry(bpy_struct) FileSelectIDFilter(bpy_struct) FileSelectParams(bpy_struct) Float2Attribute(Attribute) Float2AttributeValue(bpy_struct) Float4x4Attribute(Attribute) Float4x4AttributeValue(bpy_struct) FloatAttribute(Attribute) FloatAttributeValue(bpy_struct) FloatColorAttribute(Attribute) FloatColorAttributeValue(bpy_struct) 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FunctionNodeCombineColor(FunctionNode) FunctionNodeCombineMatrix(FunctionNode) FunctionNodeCombineTransform(FunctionNode) FunctionNodeCompare(FunctionNode) FunctionNodeEulerToRotation(FunctionNode) FunctionNodeFindInString(FunctionNode) FunctionNodeFloatToInt(FunctionNode) FunctionNodeFormatString(FunctionNode) FunctionNodeHashValue(FunctionNode) FunctionNodeInputBool(FunctionNode) FunctionNodeInputColor(FunctionNode) FunctionNodeInputInt(FunctionNode) FunctionNodeInputRotation(FunctionNode) FunctionNodeInputSpecialCharacters(FunctionNode) FunctionNodeInputString(FunctionNode) FunctionNodeInputVector(FunctionNode) FunctionNodeIntegerMath(FunctionNode) FunctionNodeInvertMatrix(FunctionNode) FunctionNodeInvertRotation(FunctionNode) FunctionNodeMatchString(FunctionNode) FunctionNodeMatrixDeterminant(FunctionNode) FunctionNodeMatrixMultiply(FunctionNode) FunctionNodeProjectPoint(FunctionNode) FunctionNodeQuaternionToRotation(FunctionNode) FunctionNodeRandomValue(FunctionNode) FunctionNodeReplaceString(FunctionNode) FunctionNodeRotateEuler(FunctionNode) FunctionNodeRotateRotation(FunctionNode) FunctionNodeRotateVector(FunctionNode) FunctionNodeRotationToAxisAngle(FunctionNode) FunctionNodeRotationToEuler(FunctionNode) FunctionNodeRotationToQuaternion(FunctionNode) FunctionNodeSeparateColor(FunctionNode) FunctionNodeSeparateMatrix(FunctionNode) FunctionNodeSeparateTransform(FunctionNode) FunctionNodeSliceString(FunctionNode) FunctionNodeStringLength(FunctionNode) FunctionNodeStringToValue(FunctionNode) FunctionNodeTransformDirection(FunctionNode) FunctionNodeTransformPoint(FunctionNode) FunctionNodeTransposeMatrix(FunctionNode) FunctionNodeValueToString(FunctionNode) GPENCIL_UL_annotation_layer(UIList) GPENCIL_UL_matslots(UIList) GPencilInterpolateSettings(bpy_struct) GPencilSculptGuide(bpy_struct) GPencilSculptSettings(bpy_struct) GREASE_PENCIL_UL_attributes(UIList) GREASE_PENCIL_UL_masks(UIList) GammaCrossStrip(EffectStrip) GaussianBlurStrip(EffectStrip) GeometryAttributeConstraint(Constraint) GeometryNode(NodeInternal) GeometryNodeAccumulateField(GeometryNode) GeometryNodeAttributeDomainSize(GeometryNode) GeometryNodeAttributeStatistic(GeometryNode) GeometryNodeBake(GeometryNode) GeometryNodeBlurAttribute(GeometryNode) GeometryNodeBoundBox(GeometryNode) GeometryNodeCameraInfo(GeometryNode) GeometryNodeCaptureAttribute(GeometryNode) GeometryNodeCollectionInfo(GeometryNode) GeometryNodeConvexHull(GeometryNode) GeometryNodeCornersOfEdge(GeometryNode) GeometryNodeCornersOfFace(GeometryNode) GeometryNodeCornersOfVertex(GeometryNode) GeometryNodeCurveArc(GeometryNode) GeometryNodeCurveEndpointSelection(GeometryNode) GeometryNodeCurveHandleTypeSelection(GeometryNode) GeometryNodeCurveLength(GeometryNode) GeometryNodeCurveOfPoint(GeometryNode) GeometryNodeCurvePrimitiveBezierSegment(GeometryNode) GeometryNodeCurvePrimitiveCircle(GeometryNode) GeometryNodeCurvePrimitiveLine(GeometryNode) GeometryNodeCurvePrimitiveQuadrilateral(GeometryNode) GeometryNodeCurveQuadraticBezier(GeometryNode) GeometryNodeCurveSetHandles(GeometryNode) GeometryNodeCurveSpiral(GeometryNode) GeometryNodeCurveSplineType(GeometryNode) GeometryNodeCurveStar(GeometryNode) GeometryNodeCurveT