cotangentBundle -- the cotangent bundle on a toric variety

i1 : F = projectiveSpaceFan 2

o1 = {ambient dimension => 2         }
      number of generating cones => 3
      number of rays => 3
      top dimension of the cones => 2

o1 : Fan

i2 : E = tangentBundle F

o2 = {dimension of the variety => 2 }
      number of affine charts => 3
      number of rays => 3
      rank of the vector bundle => 2

o2 : ToricVectorBundleKlyachko

i3 : details E

o3 = HashTable{| -1 | => (| -1 -1 |, | -1 0 |)}
               | -1 |     | -1 0  |
               | 0 | => (| 0 1 |, | -1 0 |)
               | 1 |     | 1 0 |
               | 1 | => (| 1 0 |, | -1 0 |)
               | 0 |     | 0 1 |

o3 : HashTable

i4 : F = projectiveSpaceFan 2

o4 = {ambient dimension => 2         }
      number of generating cones => 3
      number of rays => 3
      top dimension of the cones => 2

o4 : Fan

i5 : E = tangentBundle(F,"Type" => "Kaneyama")

o5 = {dimension of the variety => 2 }
      number of affine charts => 3
      rank of the vector bundle => 2

o5 : ToricVectorBundleKaneyama

i6 : details E

o6 = (HashTable{0 => (| -1 0 |, | 1 1  |)}, HashTable{(0, 1) => | -1 0 |})
                      | -1 1 |  | 0 -1 |                        | -1 1 |
                1 => (| 1 0 |, | -1 0  |)             (0, 2) => | 1 -1 |
                      | 0 1 |  | 0  -1 |                        | 0 -1 |
                2 => (| 1 -1 |, | 0 -1 |)             (1, 2) => | 0 -1 |
                      | 0 -1 |  | 1 1  |                        | 1 -1 |

o6 : Sequence