Monopole test from .fseries geometry
===================================
File: C:\workspace\projects\SSTcore\sstcore\resources\knotplot\knot_7.1\knot_7.1.fseries
Header L: None
Harmonics: 100
Curve samples: 4000
Approx reconstructed length: 1.142798771322e+02

Geometry scales
---------------
bbox_diag: 2.434500259715e+01
rms_radius: 6.613578414556e+00
max_radius: 9.965476523671e+00

Grid / coarse-graining
----------------------
grid_n: 128
dx, dy, dz: 2.225652429029e-01, 2.225652429029e-01, 2.225652429029e-01
dV: 1.102483326097e-02
tube_radius: 4.000000000000e-02
padding_frac: 6.000000000000e-01

Canonical SST constants used
----------------------------
rho_f: 7.000000000000e-07
v_swirl: 1.093845630000e+06
r_c: 1.408970170000e-15

Pure tensor source moments
--------------------------
Q_tensor = 3.942787621368e-09
D_tensor = [-2.89137759e-08 -5.25705016e-09  6.50559958e-08]
M_tensor =
[[75109095.24114695 12988559.20244049  -779777.34116769]
 [12988559.20244049 55149603.71749566 -2387947.06627332]
 [ -779777.34116769 -2387947.06627332 61451102.79430797]]
Qtf_tensor =
[[11205827.99016342 12988559.20244049  -779777.34116769]
 [12988559.20244049 -8753663.53348786 -2387947.06627332]
 [ -779777.34116769 -2387947.06627332 -2452164.45667556]]

Mixed source moments
--------------------
alpha = 1.000000000000e+00
beta = 1.000000000000e-01
Q_mix = 9.585490087648e+07
D_mix = [-38090249.58380436  -9351804.82850579   8186700.83971581]
M_mix =
[[ 2.49782884e+09  8.24433002e+08 -6.84468741e+07]
 [ 8.24433002e+08  1.28312864e+09 -7.24534653e+07]
 [-6.84468741e+07 -7.24534653e+07  4.95816811e+08]]
Qtf_mix =
[[ 1.07223741e+09  8.24433002e+08 -6.84468741e+07]
 [ 8.24433002e+08 -1.42462793e+08 -7.24534653e+07]
 [-6.84468741e+07 -7.24534653e+07 -9.29774620e+08]]

Scalar organized reservoir
--------------------------
Integral rho_org dV = 9.585490087648e+07

Interpretation
--------------
Pure tensor source |Q| = 3.942788e-09
Pure tensor normalized dipole ratio = 7.437009e-01
Pure tensor normalized quadrupole ratio = 1.011081e+13

Mixed source |Q| = 9.585490e+07
Mixed source normalized dipole ratio = 1.716960e-02
Mixed source normalized quadrupole ratio = 3.252220e-02
Scalar organized reservoir ∫rho_org dV = 9.585490e+07

Pure tensor source: monopole is numerically suppressed relative to the scalar organized reservoir.
Mixed source: plausible effective monopole candidate after coarse-graining; dipole/quadrupole contamination is moderate.