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FourTiTwo : Index
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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(Matrix)
-- calculates the Hilbert basis of the cone; invokes "hilbert" from 4ti2
hilbertBasis(Matrix,InputType=>...)
-- calculates the Hilbert basis of the cone; invokes "hilbert" from 4ti2
hilbertBasis(Matrix,Precision=>...)
-- 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(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(...,Precision=>...)
-- 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(...,Precision=>...)
-- 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(...,Precision=>...)
-- 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(...,Precision=>...)
-- 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(...,Precision=>...)
-- 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