SYMPOW(1) | SYMPOW package | SYMPOW(1) |

# 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
**-local**- only report local information (bad primes)
**-curve**[]- input a curve in [a1,a2,a3,a4,a6] form
**-label**[]- get a label to the given curve
**-quiet**- turn off some messages
**-terse**- turn on some messages: default
**-verbose**- turn on extra messages
**-rootno**#- compute the root number of the #th symmetric power
**-moddeg**- compute the modular degree
**-analrank**- compute the analytic rank
**-sloppy**[]- for use with
**-analrank**; have X sloppy digits **-nocm**- abort if curve has complex multiplication
**-noqt**- ignore even powers of non-minimal quad twists
**-noqdcheck**- don't check if quad-double stuff works
**-mdspeed**[]- speed for moddeg; 2.0 is default, 0.0 is proof
**-hecke**- compute Hecke symmetric powers for a CM curve
**-maxtable**- set 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-endiantuple**- display the endian-tuple, used as a component in the binary data paths, and exit

**-dump-versiontuple** display the version-tuple
(Major.minor.micro) and exit

Other options are used internally/recursively by
**-new_data**

# AUTHOR¶

Mark Watkins

# COPYRIGHT¶

Copyright © 2005-2018 by Mark Watkins

# SEE ALSO¶

September 2020 | SYMPOW (2.023.6) |