.\" DO NOT MODIFY THIS FILE! It was generated by help2man 1.49.3. .TH SYMPOW "1" "May 2024" "SYMPOW (2.023.7)" "SYMPOW package" .SH NAME sympow \- SYMPOW program .SH SYNOPSIS .B sympow [\fI\,options\/\fR] .SH DESCRIPTION Mathematical package to compute special values of SYMmetric POWer elliptic curve L\-functions (up to about 64 digits of precision). .SH OPTIONS .TP \fB\-bound\fR # an upper BOUND for how many ap to compute .TP \fB\-info\fR [] [] only report local information for primes/sympows 1st argument is prime range, 2nd is sympow range .TP \fB\-local\fR only report local information (bad primes) .TP \fB\-curve\fR [] input a curve in [a1,a2,a3,a4,a6] form .TP \fB\-label\fR [] get a label to the given curve .TP \fB\-quiet\fR turn off some messages: default .TP \fB\-terse\fR turn on some messages .TP \fB\-verbose\fR turn on extra messages .TP \fB\-rootno\fR # compute the root number of the #th symmetric power .TP \fB\-moddeg\fR compute the modular degree .TP \fB\-analrank\fR compute the analytic rank .TP \fB\-sloppy\fR [] for use with \fB\-analrank\fR; have X sloppy digits .TP \fB\-nocm\fR abort if curve has complex multiplication .TP \fB\-noqt\fR ignore even powers of non\-minimal quad twists .TP \fB\-noqdcheck\fR don't check if quad\-double stuff works .TP \fB\-mdspeed\fR [] speed for moddeg; 2.0 is default, 0.0 is proof .TP \fB\-hecke\fR compute Hecke symmetric powers for a CM curve .TP \fB\-maxtable\fR set the max size of factor tables: 2^27 default .TP \fB\-sp\fR [] 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 .TP \fB\-new_data\fR [] 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 .TP \fB\-dump\-endiantuple\fR display the endian\-tuple, used as a component in the binary data paths, and exit .HP \fB\-dump\-versiontuple\fR display the version\-tuple (Major.minor.micro) and exit .TP \fB\-version\fR print program version and exit .TP \fB\-help\fR display this help and exit .PP Other options are used internally/recursively by \fB\-new_data\fR .SH AUTHOR Mark Watkins .SH COPYRIGHT Copyright \(co 2005-2018 by Mark Watkins .SH "SEE ALSO" .BR gp (1)