#################################################################################### #################################################################################### #################################################################################### ### ### ### ### ### LIBRARY OF TRIANGULATIONS ### ### by Bruno Benedetti and Frank H. Lutz ### ### http://page.math.tu-berlin.de/~lutz/stellar/library_of_triangulations.html ### ### ### ### ### ### name of example: ### ### ### ### SU2_SO3 ### ### ### ### ### ### description: ### ### ### ### homogeneous space SU2/SO3 ### ### ### ### ### ### properties: ### ### ### ### f=(13,78,286,533,468,156), ### ### H_*=(Z,0,Z,Z,0,Z), ### ### simply connected, ### ### perfect discrete Morse vector: (1,0,1,1,0,1) ### ### ### ### ### ### references: ### ### ### ### D. Barden. ### ### Simply connected five-manifolds. ### ### Ann. Math. 82, 365-385 (1965). ### ### ### ### V. V. Gorbatsevich. ### ### On compact homogeneous manifolds of low dimension. ### ### Geom. Metody Zadachakh Algebry Anal. 2, 37-60 (1980). ### ### ### ### F. H. Lutz. ### ### Triangulated Manifolds with Few Vertices and ### ### Vertex-Transitive Group Actions. Dissertation. ### ### Shaker Verlag, Aachen, 1999, 146 pages. ### ### ### ### B. Benedetti and F. H. Lutz. ### ### Random discrete Morse theory and a new library of triangulations. ### ### Exp. Math. 23, 66-94 (2014). ### ### ### ### ### #################################################################################### #################################################################################### #################################################################################### facets:=[ [ 1, 2, 3, 4, 5, 8 ], [ 1, 2, 3, 4, 5, 9 ], [ 1, 2, 3, 4, 7, 9 ], [ 1, 2, 3, 4, 7, 13 ], [ 1, 2, 3, 4, 8, 13 ], [ 1, 2, 3, 5, 6, 9 ], [ 1, 2, 3, 5, 6, 10 ], [ 1, 2, 3, 5, 8, 10 ], [ 1, 2, 3, 6, 8, 10 ], [ 1, 2, 3, 6, 8, 13 ], [ 1, 2, 3, 6, 9, 12 ], [ 1, 2, 3, 6, 12, 13 ], [ 1, 2, 3, 7, 9, 12 ], [ 1, 2, 3, 7, 12, 13 ], [ 1, 2, 4, 5, 8, 13 ], [ 1, 2, 4, 5, 9, 13 ], [ 1, 2, 4, 7, 9, 13 ], [ 1, 2, 5, 6, 9, 12 ], [ 1, 2, 5, 6, 10, 12 ], [ 1, 2, 5, 7, 9, 12 ], [ 1, 2, 5, 7, 9, 13 ], [ 1, 2, 5, 7, 12, 13 ], [ 1, 2, 5, 8, 10, 11 ], [ 1, 2, 5, 8, 11, 13 ], [ 1, 2, 5, 10, 11, 12 ], [ 1, 2, 5, 11, 12, 13 ], [ 1, 2, 6, 8, 10, 11 ], [ 1, 2, 6, 8, 11, 13 ], [ 1, 2, 6, 10, 11, 12 ], [ 1, 2, 6, 11, 12, 13 ], [ 1, 3, 4, 5, 8, 11 ], [ 1, 3, 4, 5, 9, 11 ], [ 1, 3, 4, 7, 8, 11 ], [ 1, 3, 4, 7, 8, 12 ], [ 1, 3, 4, 7, 9, 11 ], [ 1, 3, 4, 7, 12, 13 ], [ 1, 3, 4, 8, 12, 13 ], [ 1, 3, 5, 6, 9, 10 ], [ 1, 3, 5, 8, 10, 11 ], [ 1, 3, 5, 9, 10, 11 ], [ 1, 3, 6, 8, 9, 10 ], [ 1, 3, 6, 8, 9, 12 ], [ 1, 3, 6, 8, 12, 13 ], [ 1, 3, 7, 8, 9, 11 ], [ 1, 3, 7, 8, 9, 12 ], [ 1, 3, 8, 9, 10, 11 ], [ 1, 4, 5, 8, 11, 13 ], [ 1, 4, 5, 9, 11, 13 ], [ 1, 4, 6, 7, 8, 11 ], [ 1, 4, 6, 7, 8, 12 ], [ 1, 4, 6, 7, 10, 11 ], [ 1, 4, 6, 7, 10, 12 ], [ 1, 4, 6, 8, 11, 13 ], [ 1, 4, 6, 8, 12, 13 ], [ 1, 4, 6, 10, 11, 12 ], [ 1, 4, 6, 11, 12, 13 ], [ 1, 4, 7, 9, 10, 11 ], [ 1, 4, 7, 9, 10, 13 ], [ 1, 4, 7, 10, 12, 13 ], [ 1, 4, 9, 10, 11, 13 ], [ 1, 4, 10, 11, 12, 13 ], [ 1, 5, 6, 7, 9, 10 ], [ 1, 5, 6, 7, 9, 12 ], [ 1, 5, 6, 7, 10, 12 ], [ 1, 5, 7, 9, 10, 13 ], [ 1, 5, 7, 10, 12, 13 ], [ 1, 5, 9, 10, 11, 13 ], [ 1, 5, 10, 11, 12, 13 ], [ 1, 6, 7, 8, 9, 10 ], [ 1, 6, 7, 8, 9, 12 ], [ 1, 6, 7, 8, 10, 11 ], [ 1, 7, 8, 9, 10, 11 ], [ 2, 3, 4, 5, 6, 9 ], [ 2, 3, 4, 5, 6, 10 ], [ 2, 3, 4, 5, 8, 10 ], [ 2, 3, 4, 6, 7, 10 ], [ 2, 3, 4, 6, 7, 11 ], [ 2, 3, 4, 6, 9, 11 ], [ 2, 3, 4, 7, 9, 11 ], [ 2, 3, 4, 7, 10, 13 ], [ 2, 3, 4, 8, 10, 13 ], [ 2, 3, 6, 7, 10, 13 ], [ 2, 3, 6, 7, 11, 13 ], [ 2, 3, 6, 8, 10, 13 ], [ 2, 3, 6, 9, 11, 12 ], [ 2, 3, 6, 11, 12, 13 ], [ 2, 3, 7, 9, 11, 12 ], [ 2, 3, 7, 11, 12, 13 ], [ 2, 4, 5, 6, 9, 12 ], [ 2, 4, 5, 6, 10, 12 ], [ 2, 4, 5, 8, 9, 12 ], [ 2, 4, 5, 8, 9, 13 ], [ 2, 4, 5, 8, 10, 12 ], [ 2, 4, 6, 7, 10, 11 ], [ 2, 4, 6, 9, 11, 12 ], [ 2, 4, 6, 10, 11, 12 ], [ 2, 4, 7, 9, 10, 11 ], [ 2, 4, 7, 9, 10, 13 ], [ 2, 4, 8, 9, 10, 12 ], [ 2, 4, 8, 9, 10, 13 ], [ 2, 4, 9, 10, 11, 12 ], [ 2, 5, 7, 8, 9, 12 ], [ 2, 5, 7, 8, 9, 13 ], [ 2, 5, 7, 8, 11, 12 ], [ 2, 5, 7, 8, 11, 13 ], [ 2, 5, 7, 11, 12, 13 ], [ 2, 5, 8, 10, 11, 12 ], [ 2, 6, 7, 8, 10, 11 ], [ 2, 6, 7, 8, 10, 13 ], [ 2, 6, 7, 8, 11, 13 ], [ 2, 7, 8, 9, 10, 11 ], [ 2, 7, 8, 9, 10, 13 ], [ 2, 7, 8, 9, 11, 12 ], [ 2, 8, 9, 10, 11, 12 ], [ 3, 4, 5, 6, 7, 10 ], [ 3, 4, 5, 6, 7, 11 ], [ 3, 4, 5, 6, 9, 11 ], [ 3, 4, 5, 7, 8, 11 ], [ 3, 4, 5, 7, 8, 12 ], [ 3, 4, 5, 7, 10, 12 ], [ 3, 4, 5, 8, 10, 12 ], [ 3, 4, 7, 10, 12, 13 ], [ 3, 4, 8, 10, 12, 13 ], [ 3, 5, 6, 7, 10, 13 ], [ 3, 5, 6, 7, 11, 13 ], [ 3, 5, 6, 9, 10, 13 ], [ 3, 5, 6, 9, 11, 13 ], [ 3, 5, 7, 8, 11, 12 ], [ 3, 5, 7, 10, 12, 13 ], [ 3, 5, 7, 11, 12, 13 ], [ 3, 5, 8, 10, 11, 12 ], [ 3, 5, 9, 10, 11, 13 ], [ 3, 5, 10, 11, 12, 13 ], [ 3, 6, 8, 9, 10, 13 ], [ 3, 6, 8, 9, 12, 13 ], [ 3, 6, 9, 11, 12, 13 ], [ 3, 7, 8, 9, 11, 12 ], [ 3, 8, 9, 10, 11, 12 ], [ 3, 8, 9, 10, 12, 13 ], [ 3, 9, 10, 11, 12, 13 ], [ 4, 5, 6, 7, 8, 11 ], [ 4, 5, 6, 7, 8, 12 ], [ 4, 5, 6, 7, 10, 12 ], [ 4, 5, 6, 8, 9, 12 ], [ 4, 5, 6, 8, 9, 13 ], [ 4, 5, 6, 8, 11, 13 ], [ 4, 5, 6, 9, 11, 13 ], [ 4, 6, 8, 9, 12, 13 ], [ 4, 6, 9, 11, 12, 13 ], [ 4, 8, 9, 10, 12, 13 ], [ 4, 9, 10, 11, 12, 13 ], [ 5, 6, 7, 8, 9, 12 ], [ 5, 6, 7, 8, 9, 13 ], [ 5, 6, 7, 8, 11, 13 ], [ 5, 6, 7, 9, 10, 13 ], [ 6, 7, 8, 9, 10, 13 ] ];