# FourTiTwo : Index

• FourTiTwo -- Interface for 4ti2
• getMatrix -- reads a matrix from a 4ti2-formatted input file
• getMatrix(String) -- reads a matrix from a 4ti2-formatted input file
• hilbertBasis -- calculates the Hilbert basis of the cone; invokes "hilbert" from 4ti2
• hilbertBasis(...,InputType=>...) -- calculates the Hilbert basis of the cone; invokes "hilbert" from 4ti2
• hilbertBasis(Matrix) -- calculates the Hilbert basis of the cone; invokes "hilbert" from 4ti2
• InputType
• putMatrix -- writes a matrix into a file formatted for 4ti2
• putMatrix(File,Matrix) -- writes a matrix into a file formatted for 4ti2
• rays -- calculates the extreme rays of the cone; invokes "rays" from 4ti2
• rays(Matrix) -- calculates the extreme rays of the cone; invokes "rays" from 4ti2
• toBinomial -- creates a toric ideal from a given set of exponents of its generators
• toBinomial(Matrix,Ring) -- creates a toric ideal from a given set of exponents of its generators
• toricCircuits -- calculates the circuits of the toric ideal; invokes "circuits" from 4ti2
• toricCircuits(Matrix) -- calculates the circuits of the toric ideal; invokes "circuits" from 4ti2
• toricGraver -- calculates the Graver basis of the toric ideal; invokes "graver" from 4ti2
• toricGraver(Matrix) -- calculates the Graver basis of the toric ideal; invokes "graver" from 4ti2
• toricGraver(Matrix,Ring) -- calculates the Graver basis of the toric ideal; invokes "graver" from 4ti2
• toricGraverDegrees -- displays the degrees of all Graver basis elements for the toric ideal I_A
• toricGraverDegrees(Matrix) -- displays the degrees of all Graver basis elements for the toric ideal I_A
• toricGroebner -- calculates a Groebner basis of the toric ideal I_A, given A; invokes "groebner" from 4ti2
• toricGroebner(...,Weights=>...) -- calculates a Groebner basis of the toric ideal I_A, given A; invokes "groebner" from 4ti2
• toricGroebner(Matrix) -- calculates a Groebner basis of the toric ideal I_A, given A; invokes "groebner" from 4ti2
• toricGroebner(Matrix,Ring) -- calculates a Groebner basis of the toric ideal I_A, given A; invokes "groebner" from 4ti2
• toricMarkov -- calculates a generating set of the toric ideal I_A, given A; invokes "markov" from 4ti2
• toricMarkov(...,InputType=>...) -- calculates a generating set of the toric ideal I_A, given A; invokes "markov" from 4ti2
• toricMarkov(Matrix) -- calculates a generating set of the toric ideal I_A, given A; invokes "markov" from 4ti2
• toricMarkov(Matrix,Ring) -- calculates a generating set of the toric ideal I_A, given A; invokes "markov" from 4ti2