Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000046
St000046: Integer partitions ⟶ ℤResult quality: 100% values known / values provided: 100%distinct values known / distinct values provided: 100%
Values
[1]
=> 1
[2]
=> 4
[1,1]
=> 0
[3]
=> 9
[2,1]
=> 4
[1,1,1]
=> 1
[4]
=> 16
[3,1]
=> 10
[2,2]
=> 4
[2,1,1]
=> 6
[1,1,1,1]
=> 0
[5]
=> 25
[4,1]
=> 18
[3,2]
=> 11
[3,1,1]
=> 13
[2,2,1]
=> 7
[2,1,1,1]
=> 6
[1,1,1,1,1]
=> 1
[6]
=> 36
[5,1]
=> 28
[4,2]
=> 20
[4,1,1]
=> 22
[3,3]
=> 12
[3,2,1]
=> 15
[3,1,1,1]
=> 14
[2,2,2]
=> 8
[2,2,1,1]
=> 8
[2,1,1,1,1]
=> 8
[1,1,1,1,1,1]
=> 0
[7]
=> 49
[6,1]
=> 40
[5,2]
=> 31
[5,1,1]
=> 33
[4,3]
=> 22
[4,2,1]
=> 25
[4,1,1,1]
=> 24
[3,3,1]
=> 17
[3,2,2]
=> 17
[3,2,1,1]
=> 17
[3,1,1,1,1]
=> 17
[2,2,2,1]
=> 9
[2,2,1,1,1]
=> 9
[2,1,1,1,1,1]
=> 8
[1,1,1,1,1,1,1]
=> 1
[8]
=> 64
[7,1]
=> 54
[6,2]
=> 44
[6,1,1]
=> 46
[5,3]
=> 34
[5,2,1]
=> 37
Description
The largest eigenvalue of the random to random operator acting on the simple module corresponding to the given partition.