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Matching statistic: St001547
Mapping
St001547: Decorated permutations ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[+,+] => 0
[-,+] => 2
[+,-] => 4
[-,-] => 6
[2,1] => 3
[+,+,+] => 0
[-,+,+] => 3
[+,-,+] => 6
[+,+,-] => 9
[-,-,+] => 9
[-,+,-] => 12
[+,-,-] => 15
[-,-,-] => 18
[+,3,2] => 7
[-,3,2] => 10
[2,1,+] => 4
[2,1,-] => 13
[2,3,1] => 6
[3,1,2] => 12
[3,+,1] => 7
[3,-,1] => 13
[+,+,+,+] => 0
[-,+,+,+] => 4
[+,-,+,+] => 8
[+,+,-,+] => 12
[+,+,+,-] => 16
[-,-,+,+] => 12
[-,+,-,+] => 16
[-,+,+,-] => 20
[+,-,-,+] => 20
[+,-,+,-] => 24
[+,+,-,-] => 28
[-,-,-,+] => 24
[-,-,+,-] => 28
[-,+,-,-] => 32
[+,-,-,-] => 36
[-,-,-,-] => 40
[+,+,4,3] => 13
[-,+,4,3] => 17
[+,-,4,3] => 21
[-,-,4,3] => 25
[+,3,2,+] => 9
[-,3,2,+] => 13
[+,3,2,-] => 25
[-,3,2,-] => 29
[+,3,4,2] => 11
[-,3,4,2] => 15
[+,4,2,3] => 23
[-,4,2,3] => 27
[+,4,+,2] => 12
Description
The sum of all indices from every element of the Grassmann necklace. Here, we use Postnikov's map (p.59) from decorated permutations to Grassmann necklaces.