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 deriv- ative, 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 (C) 2005-2018 by Mark Watkins SEE ALSO gp(1) SYMPOW (2.023.7) August 2026 SYMPOW(1)
NAME | SYNOPSIS | DESCRIPTION | OPTIONS | AUTHOR | COPYRIGHT | SEE ALSO
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