Provided by: sympow_2.023.5-2_amd64

**NAME**

sympow - SYMPOW program

**SYNOPSIS**

sympow[options]

**DESCRIPTION**

Mathematical package to compute special values of SYMmetric POWer elliptic curve L-functions (up to about 64 digits of precision).

**OPTIONS**

-bound# an upper BOUND for how many ap to compute-info[] [] only report local information for primes/sympows 1st argument is prime range, 2nd is sympow range-localonly report local information (bad primes)-curve[] input a curve in [a1,a2,a3,a4,a6] form-label[] get a label to the given curve-quietturn off some messages-terseturn on some messages: default-verboseturn on extra messages-rootno# compute the root number of the #th symmetric power-moddegcompute the modular degree-analrankcompute the analytic rank-sloppy[] for use with-analrank; have X sloppy digits-nocmabort if curve has complex multiplication-noqtignore even powers of non-minimal quad twists-noqdcheckdon't check if quad-double stuff works-mdspeed[] speed for moddeg; 2.0 is default, 0.0 is proof-heckecompute Hecke symmetric powers for a CM curve-maxtableset the max size of factor tables: 2^27 default-sp[] argument to specify which powers this is a comma separated list in each entry, the 1st datum is the sympow then could come b which turns Bloch-Kato on then could come w# which specifies how many tests then could come s# which says # sloppy digits then must come p# which specifices the precision or P# which says ignore BOUND for this power then must come d# which says the derivative bound or D# which says do only this derivative (neither need be indicated for even powers) default is 2w3s1p32,3bp16d1,4p8-new_data[] will compute inverse Mellin transform mesh for the given data: the format is [sp]d[dv]{h,c} sp is the symmetric power, dv is the derivative, h indicates Hecke powers, and c indicates CM case d[dv] is given only for odd or Hecke powers Examples: 1d3 2 2d1h 3d2 4 4c 5d0 6 7d0h 11d1 12c NOTE: new_data runs a shell script that uses GP-dump-endiantupledisplay the endian-tuple, used as a component in the binary data paths, and exit-dump-versiontupledisplay the version-tuple (Major.minor.micro) and exit-versionprint program version and exit-helpdisplay this help and exit Other options are used internally/recursively by-new_data

**AUTHOR**

Mark Watkins

**COPYRIGHT**

Copyright © 2005-2018 by Mark Watkins

**SEE** **ALSO**

gp(1)