Monopole test from .fseries geometry
===================================
File: C:\workspace\projects\SSTcore\sstcore\resources\knotplot\knot_6.3\knot_6.3.fseries
Header L: None
Harmonics: 100
Curve samples: 4000
Approx reconstructed length: 1.037077734925e+02

Geometry scales
---------------
bbox_diag: 2.109654947167e+01
rms_radius: 5.618046787763e+00
max_radius: 8.069953182146e+00

Grid / coarse-graining
----------------------
grid_n: 128
dx, dy, dz: 1.853539636954e-01, 1.853539636954e-01, 1.853539636954e-01
dV: 6.368037802892e-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 = -5.693469467365e-10
D_tensor = [ 3.79564631e-09  2.90366943e-08 -2.46717010e-09]
M_tensor =
[[56100450.22075631 -2931389.20373801 -3685960.87697254]
 [-2931389.20373801 65740988.20733682 -1239880.08974178]
 [-3685960.87697254 -1239880.08974178 52066528.12269538]]
Qtf_tensor =
[[-1868871.96283986 -2931389.20373801 -3685960.87697254]
 [-2931389.20373801  7771666.02374065 -1239880.08974178]
 [-3685960.87697254 -1239880.08974178 -5902794.06090079]]

Mixed source moments
--------------------
alpha = 1.000000000000e+00
beta = 1.000000000000e+01
Q_mix = 8.695398327539e+07
D_mix = [-934521.30971053  298981.04059608  591378.28166304]
M_mix =
[[ 1.40263351e+09  4.61924262e+07 -1.01886193e+08]
 [ 4.61924262e+07  2.01919393e+09 -8.75798611e+07]
 [-1.01886193e+08 -8.75798611e+07  1.06581078e+09]]
Qtf_mix =
[[-9.32458977e+07  4.61924262e+07 -1.01886193e+08]
 [ 4.61924262e+07  5.23314523e+08 -8.75798611e+07]
 [-1.01886193e+08 -8.75798611e+07 -4.30068626e+08]]

Scalar organized reservoir
--------------------------
Integral rho_org dV = 8.695398327539e+07

Interpretation
--------------
Pure tensor source |Q| = 5.693469e-10
Pure tensor normalized dipole ratio = 2.446661e+00
Pure tensor normalized quadrupole ratio = 4.771182e+13

Mixed source |Q| = 8.695398e+07
Mixed source normalized dipole ratio = 6.245111e-04
Mixed source normalized quadrupole ratio = 1.841488e-02
Scalar organized reservoir ∫rho_org dV = 8.695398e+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.