SYMPOW
Section: SYMPOW package (1)
Updated: December 2022
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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
- -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)
Index
- NAME
-
- SYNOPSIS
-
- DESCRIPTION
-
- OPTIONS
-
- AUTHOR
-
- COPYRIGHT
-
- SEE ALSO
-
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