Monopole test from .fseries geometry
===================================
File: C:\workspace\projects\SSTcore\sstcore\resources\knotplot\knot_7.2\knot_7.2.fseries
Header L: None
Harmonics: 100
Curve samples: 4000
Approx reconstructed length: 1.067740265910e+02

Geometry scales
---------------
bbox_diag: 2.273023768124e+01
rms_radius: 5.964200116866e+00
max_radius: 9.132038873727e+00

Grid / coarse-graining
----------------------
grid_n: 80
dx, dy, dz: 3.351551011802e-01, 3.351551011802e-01, 3.351551011802e-01
dV: 3.764761787023e-02
tube_radius: 6.000000000000e-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 = 6.311173752547e-10
D_tensor = [ 8.97589156e-09 -6.05872680e-08  2.28955359e-08]
M_tensor =
[[58720698.45267633  5478757.01982915 -7025177.50928961]
 [ 5478757.01982915 69348692.47868739   601469.83045528]
 [-7025177.50928961   601469.83045528 68523682.46174355]]
Qtf_tensor =
[[-6810326.01169276  5478757.01982915 -7025177.50928961]
 [ 5478757.01982915  3817668.01431829   601469.83045528]
 [-7025177.50928961   601469.83045528  2992657.99737445]]

Mixed source moments
--------------------
alpha = 1.000000000000e+00
beta = 1.000000000000e+01
Q_mix = 9.829653669655e+07
D_mix = [ -8969187.21837926 -38117613.44697254   9513392.35066767]
M_mix =
[[ 1.60451512e+09  6.69319848e+08 -2.55192202e+08]
 [ 6.69319848e+08  2.65547705e+09 -1.23718756e+08]
 [-2.55192202e+08 -1.23718756e+08  1.21247304e+09]]
Qtf_mix =
[[-2.19639951e+08  6.69319848e+08 -2.55192202e+08]
 [ 6.69319848e+08  8.31321979e+08 -1.23718756e+08]
 [-2.55192202e+08 -1.23718756e+08 -6.11682028e+08]]

Scalar organized reservoir
--------------------------
Integral rho_org dV = 9.829653669655e+07

Interpretation
--------------
Pure tensor source |Q| = 6.311174e-10
Pure tensor normalized dipole ratio = 4.558100e+00
Pure tensor normalized quadrupole ratio = 4.644665e+13

Mixed source |Q| = 9.829654e+07
Mixed source normalized dipole ratio = 1.803590e-02
Mixed source normalized quadrupole ratio = 2.900793e-02
Scalar organized reservoir ∫rho_org dV = 9.829654e+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.