1SYMPOW(1)                       SYMPOW package                       SYMPOW(1)
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NAME

6       sympow - SYMPOW program
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SYNOPSIS

9       sympow [options]
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DESCRIPTION

12       Mathematical  package  to compute special values of SYMmetric POWer el‐
13       liptic curve L-functions (up to about 64 digits of precision).
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OPTIONS

16       -bound #
17              an upper BOUND for how many ap to compute
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19       -info [] []
20              only report local information for primes/sympows 1st argument is
21              prime range, 2nd is sympow range
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23       -local only report local information (bad primes)
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25       -curve []
26              input a curve in [a1,a2,a3,a4,a6] form
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28       -label []
29              get a label to the given curve
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31       -quiet turn off some messages
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33       -terse turn on some messages: default
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35       -verbose
36              turn on extra messages
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38       -rootno #
39              compute the root number of the #th symmetric power
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41       -moddeg
42              compute the modular degree
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44       -analrank
45              compute the analytic rank
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47       -sloppy []
48              for use with -analrank; have X sloppy digits
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50       -nocm  abort if curve has complex multiplication
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52       -noqt  ignore even powers of non-minimal quad twists
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54       -noqdcheck
55              don't check if quad-double stuff works
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57       -mdspeed []
58              speed for moddeg; 2.0 is default, 0.0 is proof
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60       -hecke compute Hecke symmetric powers for a CM curve
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62       -maxtable
63              set the max size of factor tables: 2^27 default
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65       -sp [] argument  to specify which powers this is a comma separated list
66              in each entry, the 1st datum is the sympow  then  could  come  b
67              which turns Bloch-Kato on then could come w# which specifies how
68              many tests then could come s# which says #  sloppy  digits  then
69              must come p# which specifices the precision or P# which says ig‐
70              nore BOUND for this power then must come d# which says  the  de‐
71              rivative bound or D# which says do only this derivative (neither
72              need   be   indicated    for    even    powers)    default    is
73              2w3s1p32,3bp16d1,4p8
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75       -new_data []
76              will  compute  inverse Mellin transform mesh for the given data:
77              the format is [sp]d[dv]{h,c} sp is the symmetric  power,  dv  is
78              the  derivative,  h  indicates  Hecke powers, and c indicates CM
79              case d[dv] is given only for odd or Hecke powers Examples: 1d3 2
80              2d1h  3d2  4  4c 5d0 6 7d0h 11d1 12c NOTE: new_data runs a shell
81              script that uses GP
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83       -dump-endiantuple
84              display the endian-tuple, used as a component in the binary data
85              paths, and exit
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87       -dump-versiontuple  display  the  version-tuple (Major.minor.micro) and
88              exit
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90       -version
91              print program version and exit
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93       -help  display this help and exit
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95       Other options are used internally/recursively by -new_data
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AUTHOR

98       Mark Watkins
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101       Copyright © 2005-2018 by Mark Watkins
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SEE ALSO

104       gp(1)
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108SYMPOW (2.023.6)                 January 2022                        SYMPOW(1)
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