--- positive control (2,4): planted solution v = (z^4, i z^4 + q, w)
   dim K_v = 2  eigenvalues of H0: None
   direct real search, 60 starts: smallest costs ['1.50e-33', '1.36e-32', '1.98e-32', '3.23e-32', '3.90e-32']  #(cost<1e-20): 56
--- random Gaussian curves
   (2,2) curve 0: K_v = 0 | direct search (40 starts): smallest costs ['1.57e+00', '1.57e+00', '1.57e+00']  #(cost<1e-18): 0
   (2,2) curve 1: K_v = 0 | direct search (40 starts): smallest costs ['1.31e-01', '1.31e-01', '1.31e-01']  #(cost<1e-18): 0
   (2,2) curve 2: K_v = 0 | direct search (40 starts): smallest costs ['7.60e-04', '7.60e-04', '7.60e-04']  #(cost<1e-18): 0
   (2,2) curve 3: K_v = 0 | direct search (40 starts): smallest costs ['4.11e+00', '4.11e+00', '4.11e+00']  #(cost<1e-18): 0
   (2,4) curve 0: H0 eig/|max| = [-1.      -0.00202  0.2356 ] | direct search (150 starts): smallest costs ['2.67e-05', '2.67e-05', '2.67e-05']  #(cost<1e-18): 0
   (2,4) curve 1: H0 eig/|max| = [-1.      -0.00938  0.3639 ] | direct search (150 starts): smallest costs ['1.23e-03', '1.23e-03', '1.23e-03']  #(cost<1e-18): 0
   (2,4) curve 2: H0 eig/|max| = [-1.      -0.04188  0.27206] | direct search (150 starts): smallest costs ['4.68e-02', '4.68e-02', '4.68e-02']  #(cost<1e-18): 0
   (2,4) curve 3: H0 eig/|max| = [-1.       0.0106   0.35965] | direct search (150 starts): smallest costs ['1.12e-04', '1.12e-04', '1.12e-04']  #(cost<1e-18): 0
   (2,4) curve 4: H0 eig/|max| = [-1.       0.06944  0.73286] | direct search (150 starts): smallest costs ['2.11e-02', '2.11e-02', '2.11e-02']  #(cost<1e-18): 0
   (2,4) curve 5: H0 eig/|max| = [-1.      -0.06077  0.11329] | direct search (150 starts): smallest costs ['2.63e-02', '2.63e-02', '2.63e-02']  #(cost<1e-18): 0
   (2,4) curve 6: H0 eig/|max| = [-1.      -0.0678   0.21879] | direct search (150 starts): smallest costs ['2.87e-02', '2.87e-02', '2.87e-02']  #(cost<1e-18): 0
   (2,4) curve 7: H0 eig/|max| = [-0.47879  0.00298  1.     ] | direct search (150 starts): smallest costs ['4.54e-04', '4.54e-04', '4.54e-04']  #(cost<1e-18): 0
   (2,6) curve 0: dim K_v = 4, min rank<=2 measure on sphere = 4.607e-05 | direct search (400 starts): smallest costs ['4.88e-03', '4.88e-03', '4.88e-03']  #(cost<1e-18): 0
   (2,6) curve 1: dim K_v = 4, min rank<=2 measure on sphere = 5.860e-04 | direct search (400 starts): smallest costs ['1.32e-02', '1.32e-02', '1.32e-02']  #(cost<1e-18): 0
   (2,6) curve 2: dim K_v = 4, min rank<=2 measure on sphere = 2.135e-04 | direct search (400 starts): smallest costs ['1.99e-03', '1.99e-03', '1.99e-03']  #(cost<1e-18): 0
   (2,6) curve 3: dim K_v = 4, min rank<=2 measure on sphere = 2.927e-05 | direct search (400 starts): smallest costs ['7.85e-04', '7.85e-04', '7.85e-04']  #(cost<1e-18): 0
time 229 s
