FcurvesOfGivenShape -- a list of the F-curves with the given shape

Synopsis

Usage:

FcurvesOfGivenShape(a,b,c,d)
Inputs:
- a, an integer,
- b, an integer,
- c, an integer,
- d, an integer,
Outputs:
- L, a list,
Description

Given four positive integers $a$, $b$, $c$, $d$ with $a+b+c+d=n$, this function lists the F-curves $F_{I_1,I_2,I_3,I_4}$ with $\#I_1=a$, $\#I_2=b$, $\#I_3=c$, $\#I_4=d$.
i1 : FcurvesOfGivenShape(2,2,1,1)

o1 = {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 FcurvesOfGivenShape :

FcurvesOfGivenShape(ZZ,ZZ,ZZ,ZZ)
For the programmer

The object FcurvesOfGivenShape is a method function.