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Update README.md
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assaferan authored Feb 15, 2024
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Expand Up @@ -52,21 +52,21 @@ The executable is src/traceALbatch_dyn.
There is also a static version of the code named src/traceALbatch_sta.
It runs with command-line arguments as follows

src/traceAL_dyn <from> <to> <weight> (<num_traces>) (<only_primes>) (<new>)
src/traceALbatch_dyn [from] [to] [weight] ([num_traces]) ([only_primes]) ([new])

where the arguments are:

<from> - The starting level for which to compute traces.
[from] - The starting level for which to compute traces.

<to> - The final level for which to compute traces.
[to] - The final level for which to compute traces.

<weight> k - the weight of modular forms to compute the trace for.
[weight] k - the weight of modular forms to compute the trace for.

<num_traces> The number of traces to compute. If not specified computes up to max(B, 30sqrt(p), 1000) where B is the Sturm bound.
[num_traces] The number of traces to compute. If not specified computes up to max(B, 30sqrt(p), 1000) where B is the Sturm bound.

<only_primes> Either 0 or 1. If specified as 1, only computes traces for Hecke operators at primes T_p.
[only_primes] Either 0 or 1. If specified as 1, only computes traces for Hecke operators at primes T_p. Default is 0.

<new> Either 0 or 1. If specified as 1 computes traces on spaces of newforms.
[new] Either 0 or 1. If specified as 1 computes traces on spaces of newforms. Default is 0.

Output is written to files in the subfolder data with names traces_k_N.m where k is the weight and N is the level

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