Provided by: lcalc_1.23+dfsg-1_amd64
NAME
lcalc - program for calculating with L-functions
SYNOPSIS
lcalc [OPTIONS]...
DESCRIPTION
lcalc 1.11 Feb 5, 2008 This program computes zeros and values of L-function. -h, --help Print help and exit -V, --version Print version and exit -v, --value compute L-function at x+iy. Should be used in conjunction with x and y options (default=off) -x, --x=Double Used with value,value-line-segment, and zeros-interval options (default=`.5') -y, --y=Double Used with value,value-line-segment, and zeros-interval options (default=`0') --value-file=filename compute L-function at points specified in file --value-line-segment compute L-function along a line segment connecting (x,y) to (X,Y) at number-sample points (default=off) -X, --X=Double Used with value-line-segment (default=`.5') -Y, --Y=Double Used with value-line-segment (default=`100') -n, --number-samples=INT Used with value-line-segment, and interpolate options (default=`1000') -z, --zeros=INT number of zeros to find -Z, --zeros-interval number of zeros to find in an interval (1/2+ix,1/2+iy) using steps of size stepsize. Use with the x,y, and stepsize options (default=off) --stepsize=Double Used with zeros-interval -d, --derivative=INT compute derivative. use -d -1 to specify logarithmic derivative. -e, --elliptic-curve specify an elliptic curve over Q. Use with the a1 a2 a3 a4 a6 options (default=off) --a1=rational_number Used with the elliptic-curve option --a2=rational_number Used with the elliptic-curve option --a3=rational_number Used with the elliptic-curve option --a4=rational_number Used with the elliptic-curve option --a6=rational_number Used with the elliptic-curve option -F, --file-input=filename input a file with basic L-function data -u, --url=url input a web based file with basic L-function data. Specify the url of the file -i, --interpolate=filename2 interpolate between two L-functions and find their zeros. Should be used in conjunction with file-input -C, --output-character=STRING if twisting, output the character (possible values="1", "2" default=`1') -o, --output-data=number Dirichlet coeffs output basic data for the underlying L-function (default=`10') --verbose=INT verbosity > 0 outputs extra info (default=`0') -P, --precision=INT number digits precision (default=`14') -S, --sacrifice=INT number digits to sacrifice (default=`2') -r, --rank-compute compute the rank (default=off) --rank-verify=INT verify if specified rank is correct -l, --rank-limit=INT when doing quadratic twists limit to L-functions with specified rank -t, --tau Ramanujan tau L-function (weight 12, full level) (default=off) -q, --twist-quadratic twist by fundamental quadratic characters, start <= discriminant <= finish. Use with start and finish options. (default=off) -s, --start=integer Used with various twisting options -f, --finish=integer Used with various twisting options. Default has finish=start --twist-quadratic-even twist by fundamental quadratic characters, even functional eqn, start <= discriminant <= finish (default=off) -p, --twist-primitive twist by all primitive Dirichlet characters with start <= conductor <= finish. For L-functions with complex Dirichlet coefficients, conjugate characters are considered equaivalent (default=off) -A, --twist-all twist by all Dirichlet characters with start <= conductor <= finish. (default=off) -a, --twist-all-no-conj-pairs twist by all Dirichlet characters with start <= conductor <= finish. For L-functions with complex Dirichlet coefficients, conjugate pairs of characters are considered equivalent (default=off) -c, --twist-complex-no-conj-pairs twist by all complex primitive Dirichlet characters with start <= conductor <= finish. For L-functions with complex Dirichlet coefficients, conjugate pairs of characters are considered equivalent (default=off) -g, --twist-generic twist by a generic complex Dirichlet characters with start <= conductor <= finish. (default=off) -D, --degree=degree can only be used in conjunction with twist-primitive (?). Select characters of specified degree. Not yet implemented
SEE ALSO
The full documentation for lcalc is maintained as a Texinfo manual. If the info and lcalc programs are properly installed at your site, the command info lcalc should give you access to the complete manual.