4x4:
perturbating (0,0,0) with dz = 1.67419 -> after: 0 0 0: 1.67419
perturbating (0,1,0) with dz = 2.43035 -> after: 0 1 0: 2.43035
perturbating (0,2,0) with dz = 2.58975 -> after: 0 2 0: 2.58975
perturbating (0,3,0) with dz = 2.55228 -> after: 0 3 0: 2.55228
perturbating (1,0,0) with dz = 2.42732 -> after: 1 0 0: 2.42732
perturbating (1,1,0) with dz = 1.88611 -> after: 1 1 0: 1.88611
perturbating (1,2,0) with dz = 2.67131 -> after: 1 2 0: 2.67131
perturbating (1,3,0) with dz = 2.19653 -> after: 1 3 0: 2.19653
perturbating (2,0,0) with dz = 2.60717 -> after: 2 0 0: 2.60717
perturbating (2,1,0) with dz = 1.39126 -> after: 2 1 0: 1.39126
perturbating (2,2,0) with dz = 2.16735 -> after: 2 2 0: 2.16735
perturbating (2,3,0) with dz = 2.11773 -> after: 2 3 0: 2.11773
perturbating (3,0,0) with dz = 1.59887 -> after: 3 0 0: 1.59887
perturbating (3,1,0) with dz = 1.12263 -> after: 3 1 0: 1.12263
perturbating (3,2,0) with dz = 2.62032 -> after: 3 2 0: 2.62032
perturbating (3,3,0) with dz = 1.97909 -> after: 3 3 0: 1.97909

10x10:
perturbating (0,0,0) with dz = 1.41002 -> after: 0 0 0: 1.15085
perturbating (0,1,0) with dz = 2.03269 -> after: 0 1 0: 2.20081
perturbating (0,2,0) with dz = 1.59054 -> after: 0 2 0: 1.36477
perturbating (0,3,0) with dz = 1.10564 -> after: 0 3 0: 1.14749
perturbating (0,4,0) with dz = 1.63689 -> after: 0 4 0: 1.45604
perturbating (0,5,0) with dz = 1.43114 -> after: 0 5 0: 1.40274
perturbating (0,6,0) with dz = 2.14197 -> after: 0 6 0: 1.94929
perturbating (0,7,0) with dz = 2.2158  -> after: 0 7 0: 2.33339
perturbating (0,8,0) with dz = 2.90622 -> after: 0 8 0: 2.82802
perturbating (0,9,0) with dz = 2.03512 -> after: 0 9 0: 0.0892754
perturbating (1,0,0) with dz = 1.7104  -> after: 1 0 0: 1.97787
perturbating (1,1,0) with dz = 1.499   -> after: 1 1 0: 1.25192
perturbating (1,2,0) with dz = 1.53422 -> after: 1 2 0: 1.49823
perturbating (1,3,0) with dz = 2.84103 -> after: 1 3 0: 2.7639
perturbating (1,4,0) with dz = 2.5575  -> after: 1 4 0: 2.44978
perturbating (1,5,0) with dz = 1.74376 -> after: 1 5 0: 1.72036
perturbating (1,6,0) with dz = 1.89636 -> after: 1 6 0: 1.82184
perturbating (1,7,0) with dz = 1.24856 -> after: 1 7 0: 1.15238
perturbating (1,8,0) with dz = 1.60749 -> after: 1 8 0: 1.65318
perturbating (1,9,0) with dz = 1.94039 -> after: 1 9 0: 0.912549
perturbating (2,0,0) with dz = 1.03662 -> after: 2 0 0: 0.993863
perturbating (2,1,0) with dz = 1.01894 -> after: 2 1 0: 0.998219
perturbating (2,2,0) with dz = 1.5671  -> after: 2 2 0: 1.36742
perturbating (2,3,0) with dz = 2.2307  -> after: 2 3 0: 2.19553
perturbating (2,4,0) with dz = 2.86428 -> after: 2 4 0: 2.73337
perturbating (2,5,0) with dz = 2.3281  -> after: 2 5 0: 2.29745
perturbating (2,6,0) with dz = 1.81791 -> after: 2 6 0: 1.67001
perturbating (2,7,0) with dz = 1.65289 -> after: 2 7 0: 1.86416
perturbating (2,8,0) with dz = 1.88975 -> after: 2 8 0: 1.76475
perturbating (2,9,0) with dz = 1.71982 -> after: 2 9 0: -0.680713
perturbating (3,0,0) with dz = 2.38676 -> after: 3 0 0: 2.46473
perturbating (3,1,0) with dz = 1.15522 -> after: 3 1 0: 1.06958
perturbating (3,2,0) with dz = 2.06799 -> after: 3 2 0: 2.01515
perturbating (3,3,0) with dz = 1.82672 -> after: 3 3 0: 1.76907
perturbating (3,4,0) with dz = 1.58342 -> after: 3 4 0: 1.42073
perturbating (3,5,0) with dz = 1.69154 -> after: 3 5 0: 1.58784
perturbating (3,6,0) with dz = 2.7008  -> after: 3 6 0: 2.68575
perturbating (3,7,0) with dz = 2.91707 -> after: 3 7 0: 2.70179
perturbating (3,8,0) with dz = 1.60543 -> after: 3 8 0: 1.71695
perturbating (3,9,0) with dz = 2.67873 -> after: 3 9 0: 1.31355
perturbating (4,0,0) with dz = 1.25496 -> after: 4 0 0: 1.29923
perturbating (4,1,0) with dz = 2.08831 -> after: 4 1 0: 2.01814
perturbating (4,2,0) with dz = 2.45099 -> after: 4 2 0: 2.37231
perturbating (4,3,0) with dz = 1.65156 -> after: 4 3 0: 1.56281
perturbating (4,4,0) with dz = 1.80851 -> after: 4 4 0: 1.74933
perturbating (4,5,0) with dz = 2.13476 -> after: 4 5 0: 1.99095
perturbating (4,6,0) with dz = 1.50932 -> after: 4 6 0: 1.46293
perturbating (4,7,0) with dz = 2.76023 -> after: 4 7 0: 2.76024
perturbating (4,8,0) with dz = 1.86725 -> after: 4 8 0: 1.85708
perturbating (4,9,0) with dz = 2.37407 -> after: 4 9 0: 0.129717
perturbating (5,0,0) with dz = 2.17242 -> after: 5 0 0: 2.24967
perturbating (5,1,0) with dz = 2.83312 -> after: 5 1 0: 2.72255
perturbating (5,2,0) with dz = 2.4939  -> after: 5 2 0: 2.35614
perturbating (5,3,0) with dz = 1.05839 -> after: 5 3 0: 0.977063
perturbating (5,4,0) with dz = 2.89363 -> after: 5 4 0: 2.72645
perturbating (5,5,0) with dz = 2.608   -> after: 5 5 0: 2.61389
perturbating (5,6,0) with dz = 2.58219 -> after: 5 6 0: 2.48039
perturbating (5,7,0) with dz = 1.21462 -> after: 5 7 0: 1.27007
perturbating (5,8,0) with dz = 1.24726 -> after: 5 8 0: 1.21243
perturbating (5,9,0) with dz = 2.32138 -> after: 5 9 0: 0.0920071
perturbating (6,0,0) with dz = 2.20816 -> after: 6 0 0: 2.24204
perturbating (6,1,0) with dz = 2.04434 -> after: 6 1 0: 1.98598
perturbating (6,2,0) with dz = 2.97639 -> after: 6 2 0: 2.8679
perturbating (6,3,0) with dz = 1.22458 -> after: 6 3 0: 1.18894
perturbating (6,4,0) with dz = 1.95512 -> after: 6 4 0: 1.83672
perturbating (6,5,0) with dz = 1.70659 -> after: 6 5 0: 1.65334
perturbating (6,6,0) with dz = 1.79759 -> after: 6 6 0: 1.61292
perturbating (6,7,0) with dz = 2.0776  -> after: 6 7 0: 2.34963
perturbating (6,8,0) with dz = 2.4798  -> after: 6 8 0: 2.31811
perturbating (6,9,0) with dz = 1.79737 -> after: 6 9 0: -0.904042
perturbating (7,0,0) with dz = 2.74536 -> after: 7 0 0: 2.78524
perturbating (7,1,0) with dz = 1.00774 -> after: 7 1 0: 0.931473
perturbating (7,2,0) with dz = 2.35292 -> after: 7 2 0: 2.16176
perturbating (7,3,0) with dz = 2.45029 -> after: 7 3 0: 2.51686
perturbating (7,4,0) with dz = 2.96267 -> after: 7 4 0: 2.72468
perturbating (7,5,0) with dz = 1.03509 -> after: 7 5 0: 1.05107
perturbating (7,6,0) with dz = 2.54472 -> after: 7 6 0: 2.45255
perturbating (7,7,0) with dz = 1.7783  -> after: 7 7 0: 1.76317
perturbating (7,8,0) with dz = 1.25547 -> after: 7 8 0: 1.26014
perturbating (7,9,0) with dz = 2.87687 -> after: 7 9 0: 0.451936
perturbating (8,0,0) with dz = 2.35893 -> after: 8 0 0: 2.41559
perturbating (8,1,0) with dz = 2.09207 -> after: 8 1 0: 1.9966
perturbating (8,2,0) with dz = 2.00627 -> after: 8 2 0: 1.87887
perturbating (8,3,0) with dz = 1.79969 -> after: 8 3 0: 1.69042
perturbating (8,4,0) with dz = 2.72894 -> after: 8 4 0: 2.597
perturbating (8,5,0) with dz = 2.87164 -> after: 8 5 0: 2.79836
perturbating (8,6,0) with dz = 2.45343 -> after: 8 6 0: 2.42186
perturbating (8,7,0) with dz = 2.06585 -> after: 8 7 0: 1.93613
perturbating (8,8,0) with dz = 1.37325 -> after: 8 8 0: 1.43856
perturbating (8,9,0) with dz = 2.86437 -> after: 8 9 0: 0.89427
perturbating (9,0,0) with dz = 2.05969 -> after: 9 0 0: 1.92938
perturbating (9,1,0) with dz = 2.09137 -> after: 9 1 0: 2.12013
perturbating (9,2,0) with dz = 1.1004  -> after: 9 2 0: 0.910804
perturbating (9,3,0) with dz = 2.20222 -> after: 9 3 0: 2.19903
perturbating (9,4,0) with dz = 2.35224 -> after: 9 4 0: 2.26307
perturbating (9,5,0) with dz = 1.64518 -> after: 9 5 0: 1.56303
perturbating (9,6,0) with dz = 1.27975 -> after: 9 6 0: 1.21021
perturbating (9,7,0) with dz = 2.06374 -> after: 9 7 0: 1.85525
perturbating (9,8,0) with dz = 2.46452 -> after: 9 8 0: 2.59275
perturbating (9,9,0) with dz = 2.64739 -> after: 9 9 0: 1.50623