6 essentially distinct points

Here is the configuration you entered:
0
You did not enter a valid value for the configuration.
Thus configuration 37 will be used by default.
Here are the multiplicities you entered:
0, 0, 0, 0, 0, 0

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Configuration: 37
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The exceptional curves are:
    0  0  1  0  0  0  0
    0  0  0  1  0  0  0
    0  0  0  0  0  1  0
    0  0  0  0  0  0  1
    1 -1  0  0 -1  0  0
    1 -1  0  0  0  0 -1
    1  0  0 -1 -1  0  0
    1  0  0 -1  0  0 -1
The other negative curves are:
    0  1 -1  0  0  0  0
    0  0  0  0  1 -1  0
    1 -1 -1 -1  0  0  0
    1  0  0  0 -1 -1 -1
Scheme: Z = 0 0 0 0 0 0
alpha: 0
FCfree in degree: 0
tau: -1
deg    hilb_I  gens    syz    hilb_Z
0       1       1      0       0
1       3       0      0       0
2       6       0      0       0
3       10       0      0       0
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