This is the command sympow that can be run in the OnWorks free hosting provider using one of our multiple free online workstations such as Ubuntu Online, Fedora Online, Windows online emulator or MAC OS online emulator
PROGRAM:
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) and exit
-version
print program version and exit
-help display this help and exit
Other options are used internally/recursively by -new_data
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