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M0nbar :: Fcurves

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

Synopsis

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

For the programmer

The object Fcurves is a method function.