params

Specifies the algorithm that was used to enumerate these normal surfaces/hypersurfaces.

This must be an integer, formed as a bitwise OR combination of constants from Regina's calculation engine. For normal surfaces in a 3-manifold triangulation, these constants are taken from the NormalAlgFlags enumeration; for normal hypersurfaces in a 4-manifold triangulation, they are taken from the HyperAlgFlags enumeration.

An example of such an integer might be 17, which combines the 3-dimensional NormalAlgFlags constants NS_VERTEX_VIA_REDUCED (1) and NS_TREE (16).

Deprecated. This should be T if only embedded normal surfaces were enumerated to form this list, or F if all (embedded, immersed and singular) normal surfaces were enumerated.

You should write this tag if you want your file to be read by Regina 4.93 or earlier. Later versions of Regina can also read it; however, they prefer the new type and algorithm tags, which contain richer information. If both type and algorithm are present then this embedded tag will be ignored.

The flavour of coordinate system used in the normal surface/hypersurface enumeration, expressed as a human-readable string. Example flavours are Quad normal and Standard almost normal (tri-quad-oct).

The flavour of coordinate system used in the normal surface/hypersurface enumeration, expressed as an internal identification code. This must be a non-negative integer that matches one of the coordinate system constants in Regina's calculation engine. For normal surfaces in a 3-manifold triangulation, this constant is taken from the NormalCoords enumeration; for normal hypersurfaces in a 4-manifold triangulation, it is taken from the HyperCoords enumeration.

An example of such an integer might be 102, which is the 3-dimensional constant NS_AN_QUAD_OCT that represents standard coordinates for octagonal almost normal surfaces.

Specifies exactly which normal surfaces/hypersurfaces this list contains. In particular, this flag indicates whether the list contains all vertex surfaces, all fundamental surfaces, or some other customised list. It also indicates whether the list is restricted to properly embedded surfaces (thereby replacing the obsolete embedded tag described above).

This must be an integer, formed as a bitwise OR combination of constants from Regina's calculation engine. For normal surfaces in a 3-manifold triangulation, these constants are taken from the NormalListFlags enumeration; for normal hypersurfaces in a 4-manifold triangulation, they are taken from the HyperListFlags enumeration.

An example of such an integer might be 5, which combines the 3-dimensional NormalListFlags constants NS_EMBEDDED_ONLY (1) and NS_VERTEX (4).