Monopole test from .fseries geometry
===================================
File: C:\workspace\projects\SSTcore\sstcore\resources\knotplot\knot_8.1\knot_8.1.fseries
Header L: None
Harmonics: 100
Curve samples: 4000
Approx reconstructed length: 1.192847500582e+02

Geometry scales
---------------
bbox_diag: 2.440204649092e+01
rms_radius: 6.164114170745e+00
max_radius: 8.700768033552e+00

Grid / coarse-graining
----------------------
grid_n: 128
dx, dy, dz: 1.996890777049e-01, 1.996890777049e-01, 1.996890777049e-01
dV: 7.962747298136e-03
tube_radius: 8.000000000000e-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 = -1.245868900872e-09
D_tensor = [-7.11925086e-09 -4.74616724e-10  2.37308362e-10]
M_tensor =
[[70590584.85503529 -2671891.71439352 -1761421.8594861 ]
 [-2671891.71439352 64994181.28260843  1220910.01547864]
 [-1761421.8594861   1220910.01547864 64690653.16711307]]
Qtf_tensor =
[[ 3832111.75344969 -2671891.71439352 -1761421.8594861 ]
 [-2671891.71439352 -1764291.81897717  1220910.01547864]
 [-1761421.8594861   1220910.01547864 -2067819.93447252]]

Mixed source moments
--------------------
alpha = 1.000000000000e+00
beta = 1.000000000000e+01
Q_mix = 1.001377096524e+08
D_mix = [-2621619.59660756  1551349.28748063  -746076.12084313]
M_mix =
[[ 2.25432334e+09  4.17053211e+07  6.22713422e+07]
 [ 4.17053211e+07  2.37320136e+09 -2.95903598e+08]
 [ 6.22713422e+07 -2.95903598e+08  1.18114005e+09]]
Qtf_mix =
[[ 3.18101757e+08  4.17053211e+07  6.22713422e+07]
 [ 4.17053211e+07  4.36979776e+08 -2.95903598e+08]
 [ 6.22713422e+07 -2.95903598e+08 -7.55081533e+08]]

Scalar organized reservoir
--------------------------
Integral rho_org dV = 1.001377096524e+08

Interpretation
--------------
Pure tensor source |Q| = 1.245869e-09
Pure tensor normalized dipole ratio = 2.348220e-01
Pure tensor normalized quadrupole ratio = 9.096260e+12

Mixed source |Q| = 1.001377e+08
Mixed source normalized dipole ratio = 1.283482e-03
Mixed source normalized quadrupole ratio = 1.717367e-02
Scalar organized reservoir ∫rho_org dV = 1.001377e+08

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.