The basis of a toric vector bundle in Klyachko's description is given for each ray as a square matrix of rank $k$ of the bundle. The output is a HashTable where the keys are the rays of the fan given as one column matrices over ZZ, and for each ray a $k$ by $k$ matrix over QQ and $k$ is the rank of the bundle.
i1 : E = tangentBundle hirzebruchFan 3 o1 = {dimension of the variety => 2 } number of affine charts => 4 number of rays => 4 rank of the vector bundle => 2 o1 : ToricVectorBundleKlyachko |
i2 : base E o2 = HashTable{| -1 | => | -1 1/3 |} | 3 | | 3 0 | | 0 | => | 0 1 | | -1 | | -1 0 | | 0 | => | 0 1 | | 1 | | 1 0 | | 1 | => | 1 0 | | 0 | | 0 1 | o2 : HashTable |
The object base is a method function.