Fcurves -- lists the F-curves for a given n

Synopsis

Usage:

Fcurves n
Inputs:
- n, an integer,
Outputs:
- a list,
Description

Given an integer $n$, this function returns a list of the F-curves on $\bar{M}_{0,n}$.
i1 : Fcurves(6)

o1 = {CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 2,
                                     "NumberOfMarkedPoints" => 6           
     ------------------------------------------------------------------------
     3}, {4}, {5}, {6}} => 1}},
                               
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 2,
                                    "NumberOfMarkedPoints" => 6           
     ------------------------------------------------------------------------
     4}, {3}, {5}, {6}} => 1}},
                               
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 2,
                                    "NumberOfMarkedPoints" => 6           
     ------------------------------------------------------------------------
     5}, {3}, {4}, {6}} => 1}},
                               
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 2,
                                    "NumberOfMarkedPoints" => 6           
     ------------------------------------------------------------------------
     6}, {3}, {4}, {5}} => 1}},
                               
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 3,
                                    "NumberOfMarkedPoints" => 6           
     ------------------------------------------------------------------------
     4}, {2}, {5}, {6}} => 1}},
                               
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 3,
                                    "NumberOfMarkedPoints" => 6           
     ------------------------------------------------------------------------
     5}, {2}, {4}, {6}} => 1}},
                               
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 3,
                                    "NumberOfMarkedPoints" => 6           
     ------------------------------------------------------------------------
     6}, {2}, {4}, {5}} => 1}},
                               
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 4,
                                    "NumberOfMarkedPoints" => 6           
     ------------------------------------------------------------------------
     5}, {2}, {3}, {6}} => 1}},
                               
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 4,
                                    "NumberOfMarkedPoints" => 6           
     ------------------------------------------------------------------------
     6}, {2}, {3}, {5}} => 1}},
                               
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 5,
                                    "NumberOfMarkedPoints" => 6           
     ------------------------------------------------------------------------
     6}, {2}, {3}, {4}} => 1}},
                               
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2,
                                    "NumberOfMarkedPoints" => 6             
     ------------------------------------------------------------------------
     3, 4}, {5}, {6}} => 1}},
                             
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2,
                                    "NumberOfMarkedPoints" => 6             
     ------------------------------------------------------------------------
     3, 5}, {4}, {6}} => 1}},
                             
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2,
                                    "NumberOfMarkedPoints" => 6             
     ------------------------------------------------------------------------
     3, 6}, {4}, {5}} => 1}},
                             
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2,
                                    "NumberOfMarkedPoints" => 6             
     ------------------------------------------------------------------------
     4, 5}, {3}, {6}} => 1}},
                             
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2,
                                    "NumberOfMarkedPoints" => 6             
     ------------------------------------------------------------------------
     4, 6}, {3}, {5}} => 1}},
                             
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2,
                                    "NumberOfMarkedPoints" => 6             
     ------------------------------------------------------------------------
     5, 6}, {3}, {4}} => 1}},
                             
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2},
                                    "NumberOfMarkedPoints" => 6              
     ------------------------------------------------------------------------
     {3, 4, 5}, {6}} => 1}},
                            
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2},
                                    "NumberOfMarkedPoints" => 6              
     ------------------------------------------------------------------------
     {3, 4, 6}, {5}} => 1}},
                            
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2},
                                    "NumberOfMarkedPoints" => 6              
     ------------------------------------------------------------------------
     {3, 5, 6}, {4}} => 1}},
                            
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2},
                                    "NumberOfMarkedPoints" => 6              
     ------------------------------------------------------------------------
     {3}, {4, 5, 6}} => 1}},
                            
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 2},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {3, 4}, {5}, {6}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 2},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {3, 5}, {4}, {6}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 2},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {3, 6}, {4}, {5}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 2},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {3}, {4, 5}, {6}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 2},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {3}, {4, 6}, {5}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 2},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {3}, {4}, {5, 6}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 3},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2, 4}, {5}, {6}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 3},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2, 5}, {4}, {6}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 3},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2, 6}, {4}, {5}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 3},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2}, {4, 5}, {6}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 3},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2}, {4, 6}, {5}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 3},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2}, {4}, {5, 6}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 4},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2, 3}, {5}, {6}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 4},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2, 5}, {3}, {6}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 4},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2, 6}, {3}, {5}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 4},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2}, {3, 5}, {6}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 4},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2}, {3, 6}, {5}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 4},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2}, {3}, {5, 6}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 5},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2, 3}, {4}, {6}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 5},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2, 4}, {3}, {6}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 5},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2, 6}, {3}, {4}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 5},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2}, {3, 4}, {6}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 5},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2}, {3, 6}, {4}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 5},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2}, {3}, {4, 6}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 6},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2, 3}, {4}, {5}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 6},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2, 4}, {3}, {5}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 6},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2, 5}, {3}, {4}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 6},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2}, {3, 4}, {5}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 6},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2}, {3, 5}, {4}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1, 6},
                                    "NumberOfMarkedPoints" => 6            
     ------------------------------------------------------------------------
     {2}, {3}, {4, 5}} => 1}},
                              
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2,
                                    "NumberOfMarkedPoints" => 6             
     ------------------------------------------------------------------------
     3}, {4, 5}, {6}} => 1}},
                             
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2,
                                    "NumberOfMarkedPoints" => 6             
     ------------------------------------------------------------------------
     3}, {4, 6}, {5}} => 1}},
                             
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2,
                                    "NumberOfMarkedPoints" => 6             
     ------------------------------------------------------------------------
     3}, {4}, {5, 6}} => 1}},
                             
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2,
                                    "NumberOfMarkedPoints" => 6             
     ------------------------------------------------------------------------
     4}, {3, 5}, {6}} => 1}},
                             
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2,
                                    "NumberOfMarkedPoints" => 6             
     ------------------------------------------------------------------------
     4}, {3, 6}, {5}} => 1}},
                             
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2,
                                    "NumberOfMarkedPoints" => 6             
     ------------------------------------------------------------------------
     4}, {3}, {5, 6}} => 1}},
                             
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2,
                                    "NumberOfMarkedPoints" => 6             
     ------------------------------------------------------------------------
     5}, {3, 4}, {6}} => 1}},
                             
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2,
                                    "NumberOfMarkedPoints" => 6             
     ------------------------------------------------------------------------
     5}, {3, 6}, {4}} => 1}},
                             
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2,
                                    "NumberOfMarkedPoints" => 6             
     ------------------------------------------------------------------------
     5}, {3}, {4, 6}} => 1}},
                             
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2,
                                    "NumberOfMarkedPoints" => 6             
     ------------------------------------------------------------------------
     6}, {3, 4}, {5}} => 1}},
                             
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2,
                                    "NumberOfMarkedPoints" => 6             
     ------------------------------------------------------------------------
     6}, {3, 5}, {4}} => 1}},
                             
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2,
                                    "NumberOfMarkedPoints" => 6             
     ------------------------------------------------------------------------
     6}, {3}, {4, 5}} => 1}},
                             
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2},
                                    "NumberOfMarkedPoints" => 6              
     ------------------------------------------------------------------------
     {3, 4}, {5, 6}} => 1}},
                            
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2},
                                    "NumberOfMarkedPoints" => 6              
     ------------------------------------------------------------------------
     {3, 5}, {4, 6}} => 1}},
                            
     ------------------------------------------------------------------------
     CurveClassRepresentativeM0nbar{"CurveExpression" => HashTable{{{1}, {2},
                                    "NumberOfMarkedPoints" => 6
     ------------------------------------------------------------------------
     {3, 6}, {4, 5}} => 1}}}

o1 : List
Ways to use Fcurves :

Fcurves(ZZ)
For the programmer

The object Fcurves is a method function.