//				SnapPea Triangulation File Format
//
//	This document contains an annotated triangulation file.  If you remove
//	all comments (i.e. remove all text preceded by a double slash) you'll
//	be left with a SnapPea-readable triangulation file.  The manifold is
//	a (1,1) Dehn filling on one cusp of the Whitehead link complement, which
//	turns out to be homeomorphic to the figure eight knot complement.
//
//	The information on the hyperbolic structure (solution type, volume,
//	and tetrahedron shapes) is provided solely for human readers.
//	The SnapPea kernel ignores this information and recomputes the
//	hyperbolic structure from scratch.
//
//	The meridian and longitude are optional.  The SnapPea kernel will
//	use them if they are provided.  If they are all zero, it will use
//	a default meridian and longitude.
//
//	The numbers of torus and Klein bottle cusps are also optional.
//	You may set both to zero (and of course omit the cusp topology
//	and Dehn filling information) if you want SnapPea to figure out
//	the cusps for you and assign arbitrary indices.
//
//	97/12/6  This file format now allows finite ( = non ideal) vertices.
//	If you have set the number of torus and Klein bottle cusps to zero
//	(cf. preceding paragraph) SnapPea will figure out for itself which
//	vertices are ideal and which are finite (by checking the Euler
//	characteristic of each boundary component).
//	If you have manually specified the real cusps, then simply assign
//	an index of -1 for the "incident cusp" of each finite vertex.
//	Even if there is more than one finite vertex, all get cusp index -1.
//
//	Any low-dimensional topologist should be able to understand the
//	header information.  There is no need to understand the information
//	about each tetrahedron, but if you want to understand it anyhow you
//	should first read the file triangulation.h.

% Triangulation					//	Every triangulation file must begin
								//	  with the header "% Triangulation".
sample							//	name of manifold
geometric_solution  2.02988321	//	SolutionType and volume (cf. SnapPea.h)
oriented_manifold				//	Orientability
								//		oriented_manifold
								//	or	nonorientable_manifold
								//	or	unknown_orientability
CS_known 0.00000000000000000000	//	CS_known or CS_unknown
								//	  if CS_known, value is given

2 0		//	number of torus and Klein bottle cusps
    torus   1.000000000000   1.000000000000	//	topology and Dehn filling
    										//	  for cusp #0
    torus   0.000000000000   0.000000000000	//	topology and Dehn filling
    										//	  for cusp #1
    										//	0 0 means the cusp is unfilled

4		//	number of tetrahedra
   3    1    2    1 	//	neighbors (cf. Triangulation.h)
 0132 0321 0132 3120	//	gluings  (in contrast to the old file format,
						//	  permutations are given in "forwards order",
						//	  e.g. 0123 is the identity)
   1    1    0    1 	//	incident cusps
  0  0  0  0  0  0  0  0  0  1  0 -1 -1  1  0  0  //  meridian  (right sheet)
  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  //  meridian  (left  sheet)
  0  1  0 -1  0  0 -1  1  1  1  0 -2 -1  1  0  0  //  longitude (right sheet)
  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  //  longitude (left  sheet)
  0.429304013127   0.107280447008	//	tetrahedron shape

//	and similarly for the remaining three tetrahedra . . .

   0    2    3    0 
 3120 1230 0132 0321
   1    1    0    1 
  0  0  0  0  0  0  1 -1  1  0  0 -1  0  0  0  0
  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
  0  1  0 -1 -1  0  2 -1  2 -1  0 -1  1  0 -1  0
  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
  0.692440400998   0.318147957810

   3    3    1    0 
 1023 0213 3012 0132
   1    1    1    0 
  0  0  0  0  0  0  0  0  1 -1  0  0  0  0  0  0
  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
  0  0  0  0  0  0 -1  1  2 -2  0  0  0 -1  1  0
  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
  1.692440400998   0.318147957810

   0    2    2    1 
 0132 1023 0213 0132
   1    1    1    0 
  0  0  0  0  0  0  1 -1  1 -1  0  0  0  0  0  0
  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
  0  0  0  0  0  0  2 -2  1 -2  0  1 -1  0  1  0
  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
  0.692440400998   0.318147957810
