r=2 d=2 Jordan [4]: |c_k|max/|c_rd| = 1.9e-15  cond(g) 1.5e+01 | rank of d(c_0..c_{rd-1}) = 4 of 4 (sv max 3.8e+00, min 8.2e-01) | FD check 1.2e-10
r=2 d=2 Jordan [4]: |c_k|max/|c_rd| = 1.4e-15  cond(g) 8.0e+00 | rank of d(c_0..c_{rd-1}) = 4 of 4 (sv max 3.8e+00, min 2.3e-01) | FD check 5.2e-12
r=2 d=4 Jordan [8]: |c_k|max/|c_rd| = 7.1e-15  cond(g) 1.4e+02 | rank of d(c_0..c_{rd-1}) = 8 of 8 (sv max 5.3e+00, min 3.1e-01) | FD check 3.6e-11
r=2 d=4 Jordan [8]: |c_k|max/|c_rd| = 2.5e-15  cond(g) 6.6e+01 | rank of d(c_0..c_{rd-1}) = 8 of 8 (sv max 1.1e+01, min 3.8e-01) | FD check 5.9e-11
r=4 d=2 Jordan [8]: |c_k|max/|c_rd| = 5.0e-14  cond(g) 6.2e+01 | rank of d(c_0..c_{rd-1}) = 8 of 8 (sv max 1.2e+02, min 2.9e+00) | FD check 2.1e-10
r=4 d=2 Jordan [8]: |c_k|max/|c_rd| = 8.8e-13  cond(g) 7.0e+02 | rank of d(c_0..c_{rd-1}) = 8 of 8 (sv max 9.9e+02, min 2.2e+01) | FD check 1.8e-09
r=4 d=4 Jordan [16]: |c_k|max/|c_rd| = 3.4e-11  cond(g) 3.7e+03 | rank of d(c_0..c_{rd-1}) = 16 of 16 (sv max 4.8e+03, min 6.8e+00) | FD check 5.1e-09
r=4 d=4 Jordan [16]: |c_k|max/|c_rd| = 6.4e-13  cond(g) 2.0e+02 | rank of d(c_0..c_{rd-1}) = 16 of 16 (sv max 4.2e+01, min 8.1e-01) | FD check 2.5e-10
r=4 d=6 Jordan [24]: |c_k|max/|c_rd| = 3.8e-14  cond(g) 1.1e+03 | rank of d(c_0..c_{rd-1}) = 24 of 24 (sv max 1.5e+02, min 1.3e-01) | FD check 7.4e-11
r=4 d=6 Jordan [24]: |c_k|max/|c_rd| = 1.4e-14  cond(g) 3.1e+02 | rank of d(c_0..c_{rd-1}) = 24 of 24 (sv max 3.7e+01, min 2.7e-01) | FD check 6.9e-11
r=3 d=3 Jordan [9]: |c_k|max/|c_rd| = 2.5e-13  cond(g) 5.9e+02 | rank of d(c_0..c_{rd-1}) = 9 of 9 (sv max 1.8e+02, min 7.5e+00) | FD check 9.4e-10
r=3 d=3 Jordan [9]: |c_k|max/|c_rd| = 2.8e-12  cond(g) 2.2e+03 | rank of d(c_0..c_{rd-1}) = 9 of 9 (sv max 2.2e+02, min 1.8e-01) | FD check 4.9e-09
r=4 d=4 Jordan [8, 8]: |c_k|max/|c_rd| = 1.5e-13  cond(g) 4.8e+03 | rank of d(c_0..c_{rd-1}) = 8 of 16 (sv max 7.8e+00, min 5.6e-15) | FD check 2.0e-10
r=4 d=4 Jordan [8, 8]: |c_k|max/|c_rd| = 3.1e-14  cond(g) 1.1e+02 | rank of d(c_0..c_{rd-1}) = 8 of 16 (sv max 3.4e+01, min 5.7e-15) | FD check 1.3e-10
r=4 d=4 Jordan [13, 3]: |c_k|max/|c_rd| = 6.0e-13  cond(g) 1.8e+03 | rank of d(c_0..c_{rd-1}) = 13 of 16 (sv max 4.7e+02, min 5.5e-13) | FD check 1.1e-09
r=4 d=4 Jordan [13, 3]: |c_k|max/|c_rd| = 7.5e-13  cond(g) 8.7e+02 | rank of d(c_0..c_{rd-1}) = 13 of 16 (sv max 2.4e+02, min 6.1e-13) | FD check 1.2e-09
r=4 d=4 Jordan [4, 4, 4, 4]: |c_k|max/|c_rd| = 1.3e-13  cond(g) 2.8e+03 | rank of d(c_0..c_{rd-1}) = 4 of 16 (sv max 4.9e+00, min 5.7e-17) | FD check 1.3e-11
r=4 d=4 Jordan [4, 4, 4, 4]: |c_k|max/|c_rd| = 5.2e-12  cond(g) 1.3e+06 | rank of d(c_0..c_{rd-1}) = 4 of 16 (sv max 6.0e+00, min 2.1e-16) | FD check 2.8e-11
r=4 d=2 Jordan [5, 3]: |c_k|max/|c_rd| = 4.8e-15  cond(g) 7.6e+01 | rank of d(c_0..c_{rd-1}) = 5 of 8 (sv max 3.0e+01, min 2.6e-15) | FD check 6.6e-11
r=4 d=2 Jordan [5, 3]: |c_k|max/|c_rd| = 5.1e-15  cond(g) 1.2e+02 | rank of d(c_0..c_{rd-1}) = 5 of 8 (sv max 2.2e+01, min 1.9e-15) | FD check 3.7e-11
--- incidence variety for (4,4) at planted points: rank dF/dXi (expect 15 = 32 - 16 - 1) and rank dF/dV_C (expect 16)
planted 0: |F| = 1.4e-14 ; sing. values of dF/dXi: largest 1.75e+01, 15th 3.36e-02, 16th 1.20e-09 ; dF/dV_C: smallest of 16 = 9.05e-01 (largest 2.27e+01) ; |u^T dF/dV_C| = 3.12e+00
planted 1: |F| = 9.5e-14 ; sing. values of dF/dXi: largest 6.12e+02, 15th 4.40e-01, 16th 3.75e-09 ; dF/dV_C: smallest of 16 = 1.64e+00 (largest 7.79e+01) ; |u^T dF/dV_C| = 6.49e+00
planted 2: |F| = 5.3e-13 ; sing. values of dF/dXi: largest 4.42e+03, 15th 1.25e-02, 16th 1.49e-08 ; dF/dV_C: smallest of 16 = 5.35e-01 (largest 1.93e+02) ; |u^T dF/dV_C| = 1.07e+00
