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

## Synopsis

• Usage:
Fcurves n
• Inputs:
• Outputs:

## 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

• Fcurves(ZZ)

## For the programmer

The object Fcurves is .