SYMPOW(1) SYMPOW package SYMPOW(1)
NAME
sympow - SYMPOW program
SYNOPSIS
sympow [options]
DESCRIPTION
Mathematical package to compute special values of SYMmetric POWer el-
liptic 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 ig-
nore BOUND for this power then must come d# which says the de-
rivative 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
-version
print program version and exit
-help display 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)
SYMPOW (Debian 2.023.6-1.1) December 2022 SYMPOW(1)
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