Bertini : Index
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AffVariableGroup -- an option to group variables and use multihomogeneous homotopies
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B'Constants -- an option to designate the constants for a Bertini Input file
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B'Section -- a mutable hash table that gives information about a hyperplane used to slice a numerical variety.
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B'Slice -- a mutable hash table that gives information about a linear space used to slice a numerical variety.
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Bertini -- software for numerical algebraic geometry
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Bertini input configuration -- a configuration option for a Bertini input file
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Bertini input file declarations: random numbers -- an option which designates symbols/strings/variables that will be set to be a random real number or random complex number
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bertiniComponentMemberTest -- a main method to test whether points lie on a given variety
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bertiniComponentMemberTest(..., IsProjective => ...) -- optional argument to specify whether to use homogeneous coordinates
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bertiniComponentMemberTest(..., Verbose => ...) -- Option to silence additional output
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bertiniComponentMemberTest(List,NumericalVariety) -- a main method to test whether points lie on a given variety
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bertiniParameterHomotopy -- a main method to perform a parameter homotopy in Bertini
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bertiniParameterHomotopy(..., AffVariableGroup => ...) -- an option to group variables and use multihomogeneous homotopies
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bertiniParameterHomotopy(..., B'Constants => ...) -- an option to designate the constants for a Bertini Input file
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bertiniParameterHomotopy(..., HomVariableGroup => ...) -- an option to group variables and use multihomogeneous homotopies
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bertiniParameterHomotopy(..., RandomComplex => ...) -- an option which designates symbols/strings/variables that will be set to be a random real number or random complex number
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bertiniParameterHomotopy(..., RandomReal => ...) -- an option which designates symbols/strings/variables that will be set to be a random real number or random complex number
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bertiniParameterHomotopy(..., TopDirectory => ...) -- Option to change directory for file storage.
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bertiniParameterHomotopy(..., Verbose => ...) -- Option to silence additional output
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bertiniParameterHomotopy(List,List,List) -- a main method to perform a parameter homotopy in Bertini
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bertiniPosDimSolve -- a main method that is used to produce witness sets
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bertiniPosDimSolve(..., IsProjective => ...) -- optional argument to specify whether to use homogeneous coordinates
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bertiniPosDimSolve(..., Verbose => ...) -- Option to silence additional output
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bertiniPosDimSolve(Ideal) -- a main method that is used to produce witness sets
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bertiniPosDimSolve(List) -- a main method that is used to produce witness sets
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bertiniRefineSols -- sharpen solutions to a prescribed number of digits
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bertiniRefineSols(..., IsProjective => ...) -- optional argument to specify whether to use homogeneous coordinates
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bertiniRefineSols(..., Verbose => ...) -- Option to silence additional output
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bertiniRefineSols(ZZ,List,List) -- sharpen solutions to a prescribed number of digits
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bertiniSample -- a main method to sample points from an irreducible component of a variety
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bertiniSample(..., IsProjective => ...) -- optional argument to specify whether to use homogeneous coordinates
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bertiniSample(..., Verbose => ...) -- Option to silence additional output
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bertiniSample(ZZ,WitnessSet) -- a main method to sample points from an irreducible component of a variety
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bertiniTrackHomotopy -- a main method to track using a user-defined homotopy
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bertiniTrackHomotopy(..., IsProjective => ...) -- optional argument to specify whether to use homogeneous coordinates
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bertiniTrackHomotopy(..., Verbose => ...) -- Option to silence additional output
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bertiniTrackHomotopy(RingElement,List,List) -- a main method to track using a user-defined homotopy
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bertiniUserHomotopy -- a main method to track a user-defined homotopy
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bertiniUserHomotopy(..., AffVariableGroup => ...) -- an option to group variables and use multihomogeneous homotopies
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bertiniUserHomotopy(..., TopDirectory => ...) -- Option to change directory for file storage.
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bertiniUserHomotopy(..., Verbose => ...) -- Option to silence additional output
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bertiniUserHomotopy(Thing,List,List,List) -- a main method to track a user-defined homotopy
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bertiniZeroDimSolve -- a main method to solve a zero-dimensional system of equations
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bertiniZeroDimSolve(..., AffVariableGroup => ...) -- an option to group variables and use multihomogeneous homotopies
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bertiniZeroDimSolve(..., B'Constants => ...) -- an option to designate the constants for a Bertini Input file
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bertiniZeroDimSolve(..., HomVariableGroup => ...) -- an option to group variables and use multihomogeneous homotopies
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bertiniZeroDimSolve(..., RandomComplex => ...) -- an option which designates symbols/strings/variables that will be set to be a random real number or random complex number
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bertiniZeroDimSolve(..., RandomReal => ...) -- an option which designates symbols/strings/variables that will be set to be a random real number or random complex number
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bertiniZeroDimSolve(..., TopDirectory => ...) -- Option to change directory for file storage.
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bertiniZeroDimSolve(..., Verbose => ...) -- Option to silence additional output
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bertiniZeroDimSolve(Ideal) -- a main method to solve a zero-dimensional system of equations
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bertiniZeroDimSolve(List) -- a main method to solve a zero-dimensional system of equations
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CoeffBound -- a configuration option for a Bertini input file
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CondNumThreshold -- a configuration option for a Bertini input file
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CopyB'File -- an optional argument to specify whether make a copy of the file.
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DegreeBound -- a configuration option for a Bertini input file
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EndGameNum -- a configuration option for a Bertini input file
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FinalTol -- a configuration option for a Bertini input file
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HomVariableGroup -- an option to group variables and use multihomogeneous homotopies
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ImagThreshold -- a configuration option for a Bertini input file
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importIncidenceMatrix -- Imports an incidence matrix file after running makeMembershipFile.
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importIncidenceMatrix(..., Verbose => ...) -- Option to silence additional output
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importIncidenceMatrix(String) -- Imports an incidence matrix file after running makeMembershipFile.
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importMainDataFile -- This function imports points from the main data file form a Bertini run.
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importMainDataFile(..., Verbose => ...) -- Option to silence additional output
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importMainDataFile(String) -- This function imports points from the main data file form a Bertini run.
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importParameterFile -- Imports parameters from a Bertini parameter file.
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importParameterFile(String) -- Imports parameters from a Bertini parameter file.
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importSolutionsFile -- Imports coordinates from a Bertini solution file.
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importSolutionsFile(..., Verbose => ...) -- Option to silence additional output
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importSolutionsFile(String) -- Imports coordinates from a Bertini solution file.
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IsProjective -- optional argument to specify whether to use homogeneous coordinates
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makeB'InputFile -- write a Bertini input file in a directory
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makeB'InputFile(..., AffVariableGroup => ...) -- an option to group variables and use multihomogeneous homotopies
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makeB'InputFile(..., B'Constants => ...) -- an option to designate the constants for a Bertini Input file
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makeB'InputFile(..., HomVariableGroup => ...) -- an option to group variables and use multihomogeneous homotopies
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makeB'InputFile(..., RandomComplex => ...) -- an option which designates symbols/strings/variables that will be set to be a random real number or random complex number
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makeB'InputFile(..., RandomReal => ...) -- an option which designates symbols/strings/variables that will be set to be a random real number or random complex number
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makeB'InputFile(..., Verbose => ...) -- Option to silence additional output
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makeB'InputFile(String) -- write a Bertini input file in a directory
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makeB'Section -- makeB'Section creates a hash table that represents a hyperplane.
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makeB'Section(..., B'Homogenization => ...) -- makeB'Section creates a hash table that represents a hyperplane.
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makeB'Section(..., B'NumberCoefficients => ...) -- makeB'Section creates a hash table that represents a hyperplane.
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makeB'Section(..., ContainsPoint => ...) -- makeB'Section creates a hash table that represents a hyperplane.
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makeB'Section(..., NameB'Section => ...) -- makeB'Section creates a hash table that represents a hyperplane.
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makeB'Section(..., RandomCoefficientGenerator => ...) -- makeB'Section creates a hash table that represents a hyperplane.
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makeB'Section(List) -- makeB'Section creates a hash table that represents a hyperplane.
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makeB'Slice -- makeB'Slice creates a hash table that represents a linear slice.
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makeB'Slice(..., B'Homogenization => ...) -- makeB'Section creates a hash table that represents a hyperplane.
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makeB'Slice(..., B'NumberCoefficients => ...) -- makeB'Slice creates a hash table that represents a linear slice.
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makeB'Slice(..., ContainsMultiProjectivePoint => ...) -- makeB'Slice creates a hash table that represents a linear slice.
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makeB'Slice(..., ContainsPoint => ...) -- makeB'Slice creates a hash table that represents a linear slice.
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makeB'Slice(..., NameB'Slice => ...) -- makeB'Slice creates a hash table that represents a linear slice.
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makeB'Slice(..., RandomCoefficientGenerator => ...) -- makeB'Slice creates a hash table that represents a linear slice.
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makeB'Slice(Thing,List) -- makeB'Slice creates a hash table that represents a linear slice.
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makeMembershipFile(..., Verbose => ...) -- Option to silence additional output
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makeSampleSolutionsFile(..., Verbose => ...) -- Option to silence additional output
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MaxCycleNum -- a configuration option for a Bertini input file
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MaxNewtonIts -- a configuration option for a Bertini input file
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MaxNorm -- a configuration option for a Bertini input file
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MaxNumberSteps -- a configuration option for a Bertini input file
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MaxStepSize -- a configuration option for a Bertini input file
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MinStepSizeBeforeEG -- a configuration option for a Bertini input file
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MinStepSizeDuringEG -- a configuration option for a Bertini input file
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moveB'File -- Move or copy files.
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moveB'File(..., CopyB'File => ...) -- an optional argument to specify whether make a copy of the file.
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moveB'File(..., MoveToDirectory => ...) -- Move or copy files.
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moveB'File(..., SubFolder => ...) -- Move or copy files.
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moveB'File(String,String,String) -- Move or copy files.
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MPType -- a configuration option for a Bertini input file
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NameB'Slice -- makeB'Slice creates a hash table that represents a linear slice.
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NumberToB'String -- Translates a number to a string that Bertini can read.
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NumberToB'String(Thing) -- Translates a number to a string that Bertini can read.
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ODEPredictor -- a configuration option for a Bertini input file
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OutputLevel -- a configuration option for a Bertini input file
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PRECISION -- a configuration option for a Bertini input file
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radicalList -- A support function that removes multiplicities of numbers in a list up to a tolerance.
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radicalList(List) -- A support function that removes multiplicities of numbers in a list up to a tolerance.
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radicalList(List,Number) -- A support function that removes multiplicities of numbers in a list up to a tolerance.
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RandomComplex -- an option which designates symbols/strings/variables that will be set to be a random real number or random complex number
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RandomReal -- an option which designates symbols/strings/variables that will be set to be a random real number or random complex number
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RandomSeed -- a configuration option for a Bertini input file
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RegenStartLevel -- a configuration option for a Bertini input file
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runBertini(..., Verbose => ...) -- Option to silence additional output
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ScreenOut -- a configuration option for a Bertini input file
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SecurityLevel -- a configuration option for a Bertini input file
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SingValZeroTol -- a configuration option for a Bertini input file
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StepsForIncrease -- a configuration option for a Bertini input file
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storeBM2Files (missing documentation)
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subPoint -- This function evaluates a polynomial or matrix at a point.
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subPoint(Thing,List,Thing) -- This function evaluates a polynomial or matrix at a point.
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TopDirectory -- Option to change directory for file storage.
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TrackTolBeforeEG -- a configuration option for a Bertini input file
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TrackTolDuringEG -- a configuration option for a Bertini input file
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UseRegeneration -- an option specifying when to use regeneration
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valueBM2 -- This function makes a number in CC from a string.
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valueBM2(String) -- This function makes a number in CC from a string.
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Variable groups -- an option to group variables and use multihomogeneous homotopies
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writeStartFile -- Writes the list of list of coordinates to a file that Bertini can read.
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writeStartFile(String,List) -- Writes the list of list of coordinates to a file that Bertini can read.