seed=11 NSHAPES=36 NCLIMB=25 h=0.035 n in [4, 5, 7]
W1 two far clusters: ncomp=2 zeros_one=False R=2.7427 -> disconnected detected=True, R>2 True
W2 l_inf norm, diagonal Chebyshev n=6 shrunk 0.9: ncomp=1 zeros_one=True R=2.8337 (>2 detected: True; predicted on the diagonal = sqrt3*1.638=2.837)
W3 level K=8 instead of 1, Chebyshev n=6 shrunk 0.9 and scaled 8^(1/6): ncomp=1 zeros_one=True R=2.3169 (>2 detected: True; predicted 2.317)
W4 octahedron a^6=0.9: components=7, zero labels=[np.int32(7), np.int32(1), np.int32(6), np.int32(3), np.int32(5), np.int32(4)], centre label=2, centre in a zero-free component: True
CONTROL collinear Chebyshev n=4 in R^3: ncomp=4 zeros_one=False R=1.681793 2rho=1.681793
CONTROL collinear Chebyshev n=8 in R^3: ncomp=8 zeros_one=False R=1.834008 2rho=1.834008
n=4 shapes analysed (connected at critical scale)=36 max R=1.67438 2*2^(-1/n)=1.68179 #R>=2=0 #R>cheb+2e-3=0 #projection-step failures=0 max hull|q_u|=0.9906
   climb n=4: start R=1.67438 -> final R=1.67438 (accepted 0); singular values of final config=[2.364 0.105 0.014]; below 2: True; above cheb+2e-3: False
   climb n=4: start R=1.67370 -> final R=1.67370 (accepted 0); singular values of final config=[2.354 0.206 0.01 ]; below 2: True; above cheb+2e-3: False
n=5 shapes analysed (connected at critical scale)=36 max R=1.73532 2*2^(-1/n)=1.74110 #R>=2=0 #R>cheb+2e-3=0 #projection-step failures=0 max hull|q_u|=0.9869
   climb n=5: start R=1.73532 -> final R=1.73532 (accepted 0); singular values of final config=[2.741 0.102 0.057]; below 2: True; above cheb+2e-3: False
   climb n=5: start R=1.72371 -> final R=1.72371 (accepted 0); singular values of final config=[2.717 0.132 0.071]; below 2: True; above cheb+2e-3: False
n=7 shapes analysed (connected at critical scale)=36 max R=1.77659 2*2^(-1/n)=1.81145 #R>=2=0 #R>cheb+2e-3=0 #projection-step failures=0 max hull|q_u|=0.8920
   climb n=7: start R=1.77659 -> final R=1.77659 (accepted 0); singular values of final config=[3.318 0.224 0.052]; below 2: True; above cheb+2e-3: False
   climb n=7: start R=1.77377 -> final R=1.77377 (accepted 0); singular values of final config=[3.308 0.256 0.135]; below 2: True; above cheb+2e-3: False
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