The singleton spine basis of F-curves is described in notes by Swinarski, A basis of F-curves on $\bar{M}_{0,n}$, available at http://faculty.fordham.edu/dswinarski/Fcurves/.
It is defined for n>=7.
i1 : B7=singletonSpineBasis(7) o1 = {CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1}, {2}, {3}, {4, 5, 6, 7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1}, {2}, {3, 4, 5, 6}, {7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1}, {2}, {3, 4, 5, 7}, {6}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1}, {2}, {3, 4, 6, 7}, {5}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1}, {2}, {3, 5, 6, 7}, {4}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1}, {2, 3}, {4, 5}, {6, 7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1}, {2, 3, 4, 5}, {6}, {7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1}, {2, 3, 4, 6}, {5}, {7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1}, {2, 3, 4, 7}, {5}, {6}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1}, {2, 3, 5, 6}, {4}, {7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1}, {2, 3, 5, 7}, {4}, {6}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1}, {2, 3, 6, 7}, {4}, {5}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1}, {2, 4, 5, 6}, {3}, {7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1}, {2, 4, 5, 7}, {3}, {6}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1}, {2, 4, 6, 7}, {3}, {5}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1}, {2, 5, 6, 7}, {3}, {4}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 2}, {3}, {4, 5}, {6, 7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 2}, {3, 4}, {5}, {6, 7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 2}, {3, 4}, {5, 6}, {7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 2, 3, 4}, {5}, {6}, {7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 2, 3, 5}, {4}, {6}, {7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 2, 3, 6}, {4}, {5}, {7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 2, 3, 7}, {4}, {5}, {6}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 2, 4, 5}, {3}, {6}, {7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 2, 4, 6}, {3}, {5}, {7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 2, 4, 7}, {3}, {5}, {6}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 2, 5, 6}, {3}, {4}, {7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 2, 5, 7}, {3}, {4}, {6}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 2, 6, 7}, {3}, {4}, {5}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 3, 4, 5}, {2}, {6}, {7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 3, 4, 6}, {2}, {5}, {7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 3, 4, 7}, {2}, {5}, {6}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 3, 5, 6}, {2}, {4}, {7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 3, 5, 7}, {2}, {4}, {6}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 3, 6, 7}, {2}, {4}, {5}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 4, 5, 6}, {2}, {3}, {7}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 4, 5, 7}, {2}, {3}, {6}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 4, 6, 7}, {2}, {3}, {5}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 5, 6, 7}, {2}, {3}, {4}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 7}, {2}, {3, 4}, {5, 6}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 7}, {2, 3}, {4}, {5, 6}} => 1}}, NumberOfMarkedPoints => 7 ---------------------------------------------------------------------------------------------------------------------------- CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 7}, {2, 3}, {4, 5}, {6}} => 1}}} NumberOfMarkedPoints => 7 o1 : List |
The object singletonSpineBasis is a method function.