# 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, 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 :

• "Fcurves(ZZ)"

## For the programmer

The object Fcurves is .