Identifier
Values
[+] => [1] => ([],1) => 0
[-] => [1] => ([],1) => 0
[+,+] => [1,2] => ([(0,1)],2) => 0
[-,+] => [1,2] => ([(0,1)],2) => 0
[+,-] => [1,2] => ([(0,1)],2) => 0
[-,-] => [1,2] => ([(0,1)],2) => 0
[2,1] => [2,1] => ([(0,1)],2) => 0
[+,+,+] => [1,2,3] => ([(0,2),(2,1)],3) => 0
[-,+,+] => [1,2,3] => ([(0,2),(2,1)],3) => 0
[+,-,+] => [1,2,3] => ([(0,2),(2,1)],3) => 0
[+,+,-] => [1,2,3] => ([(0,2),(2,1)],3) => 0
[-,-,+] => [1,2,3] => ([(0,2),(2,1)],3) => 0
[-,+,-] => [1,2,3] => ([(0,2),(2,1)],3) => 0
[+,-,-] => [1,2,3] => ([(0,2),(2,1)],3) => 0
[-,-,-] => [1,2,3] => ([(0,2),(2,1)],3) => 0
[+,3,2] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 0
[-,3,2] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 0
[2,1,+] => [2,1,3] => ([(0,1),(0,2),(1,3),(2,3)],4) => 0
[2,1,-] => [2,1,3] => ([(0,1),(0,2),(1,3),(2,3)],4) => 0
[2,3,1] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 0
[3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 0
[3,+,1] => [3,2,1] => ([(0,2),(2,1)],3) => 0
[3,-,1] => [3,2,1] => ([(0,2),(2,1)],3) => 0
[+,+,+,+] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[-,+,+,+] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[+,-,+,+] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[+,+,-,+] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[+,+,+,-] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[-,-,+,+] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[-,+,-,+] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[-,+,+,-] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[+,-,-,+] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[+,-,+,-] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[+,+,-,-] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[-,-,-,+] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[-,-,+,-] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[-,+,-,-] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[+,-,-,-] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[-,-,-,-] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[4,3,2,1] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 0
[+,+,+,+,+] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[-,+,+,+,+] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[+,-,+,+,+] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[+,+,-,+,+] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[+,+,+,-,+] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[+,+,+,+,-] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[-,-,+,+,+] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[-,+,-,+,+] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[-,+,+,-,+] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[-,+,+,+,-] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[+,-,-,+,+] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[+,-,+,-,+] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[+,-,+,+,-] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[+,+,-,-,+] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[+,+,-,+,-] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[+,+,+,-,-] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[-,-,-,+,+] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[-,-,+,-,+] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[-,-,+,+,-] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[-,+,-,-,+] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[-,+,-,+,-] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[-,+,+,-,-] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[+,-,-,-,+] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[+,-,-,+,-] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[+,-,+,-,-] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[+,+,-,-,-] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[-,-,-,-,+] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[-,-,-,+,-] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[-,-,+,-,-] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[-,+,-,-,-] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[+,-,-,-,-] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[-,-,-,-,-] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[5,4,+,2,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[5,4,-,2,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[+,+,+,+,+,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,+,+,+,+,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,-,+,+,+,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,+,-,+,+,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,+,+,-,+,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,+,+,+,-,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,+,+,+,+,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,-,+,+,+,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,+,-,+,+,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,+,+,-,+,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,+,+,+,-,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,+,+,+,+,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,-,-,+,+,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,-,+,-,+,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,-,+,+,-,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,-,+,+,+,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,+,-,-,+,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,+,-,+,-,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,+,-,+,+,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,+,+,-,-,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,+,+,-,+,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,+,+,+,-,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,-,-,+,+,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,-,+,-,+,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,-,+,+,-,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,-,+,+,+,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,+,-,-,+,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
>>> Load all 139 entries. <<<
[-,+,-,+,-,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,+,-,+,+,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,+,+,-,-,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,+,+,-,+,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,+,+,+,-,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,-,-,-,+,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,-,-,+,-,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,-,-,+,+,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,-,+,-,-,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,-,+,-,+,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,-,+,+,-,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,+,-,-,-,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,+,-,-,+,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,+,-,+,-,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,+,+,-,-,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,-,-,-,+,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,-,-,+,-,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,-,-,+,+,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,-,+,-,-,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,-,+,-,+,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,-,+,+,-,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,+,-,-,-,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,+,-,-,+,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,+,-,+,-,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,+,+,-,-,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,-,-,-,-,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,-,-,-,+,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,-,-,+,-,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,-,+,-,-,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,+,-,-,-,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,-,-,-,-,+] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,-,-,-,+,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,-,-,+,-,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,-,+,-,-,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,+,-,-,-,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[+,-,-,-,-,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[-,-,-,-,-,-] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[6,5,4,3,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
Description
The interval resolution global dimension of a poset.
This is the cardinality of the longest chain of right minimal approximations by interval modules of an indecomposable module over the incidence algebra.
Map
permutation
Description
The underlying permutation of the decorated permutation.
Map
pattern poset
Description
The pattern poset of a permutation.
This is the poset of all non-empty permutations that occur in the given permutation as a pattern, ordered by pattern containment.