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sympow - SYMPOW program


sympow [options]


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


an upper BOUND for how many ap to compute
only report local information for primes/sympows 1st argument is prime range, 2nd is sympow range
only report local information (bad primes)
input a curve in [a1,a2,a3,a4,a6] form
get a label to the given curve
turn off some messages
turn on some messages: default
turn on extra messages
compute the root number of the #th symmetric power
compute the modular degree
compute the analytic rank
for use with -analrank; have X sloppy digits
abort if curve has complex multiplication
ignore even powers of non-minimal quad twists
don't check if quad-double stuff works
speed for moddeg; 2.0 is default, 0.0 is proof
compute Hecke symmetric powers for a CM curve
set the max size of factor tables: 2^27 default
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
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
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

print program version and exit
display this help and exit

Other options are used internally/recursively by -new_data


Mark Watkins


Copyright © 2005-2018 by Mark Watkins



September 2020 SYMPOW (2.023.6)