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Documentation.txt
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Documentation.txt
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// =================================================================================
//
// Brief Documentation for the MAGMA functions in "theta_eigenform_decomposition.m"
//
// =================================================================================
Make_Eisenstein_Series(Q2, prec)
Makes the Eisinstein series for the form Q (where Q2 = 2*Q) up to precision prec.
Make_Theta_Series(Q2, prec)
Makes the Theta series for the form Q (where Q2 = 2*Q) up to precision prec.
LevelOfQuadForm(B)
compute_cusp_constant(QQ, mndeg)
Compute the cuspidal constant of any positive definite quaternary
integer-valued quadratic form, given here by the matrix of 2*Q.
(Note: This is really the same as the integer-matrix form,
but at a lower level, since theta_{2Q}(z) = theta_{Q}(2z).) =)
make_cusp_bound_for_auxiliary_form(i, logfile, mndeg)
This makes the cuspidal bounds for the Auxiliary Escalator Forms
make_cusp_bound_for_basic_form(i, logfile, mndeg)
This makes the cuspidal bounds for the Basic Escalator Forms
make_cusp_bounds_for_auxiliary_forms(index_list: OUT_STRING := "/tmp/Auxiliary_Logs/Auxilliary_")
This makes the cuspidal bounds for the Auxiliary Forms
make_cusp_bounds_for_basic_forms(index_list: OUT_STRING := "/tmp/Basic_Logs/Basic_")
This makes the cuspidal bounds for the Basic Forms
compute_cusp_dimension(QQ)