Identifier
Values
=>
[+,+]=>1
[-,+]=>3
[+,-]=>1
[-,-]=>1
[2,1]=>1
[+,+,+]=>1
[-,+,+]=>4
[+,-,+]=>4
[+,+,-]=>2
[-,-,+]=>4
[-,+,-]=>4
[+,-,-]=>2
[-,-,-]=>1
[+,3,2]=>2
[-,3,2]=>2
[2,1,+]=>2
[2,1,-]=>2
[2,3,1]=>1
[3,1,2]=>1
[3,+,1]=>2
[3,-,1]=>2
[+,+,+,+]=>1
[-,+,+,+]=>5
[+,-,+,+]=>5
[+,+,-,+]=>5
[+,+,+,-]=>3
[-,-,+,+]=>5
[-,+,-,+]=>5
[-,+,+,-]=>5
[+,-,-,+]=>5
[+,-,+,-]=>5
[+,+,-,-]=>3
[-,-,-,+]=>5
[-,-,+,-]=>5
[-,+,-,-]=>5
[+,-,-,-]=>3
[-,-,-,-]=>1
[+,+,4,3]=>3
[-,+,4,3]=>5
[+,-,4,3]=>3
[-,-,4,3]=>3
[+,3,2,+]=>3
[-,3,2,+]=>3
[+,3,2,-]=>3
[-,3,2,-]=>3
[+,3,4,2]=>2
[-,3,4,2]=>2
[+,4,2,3]=>2
[-,4,2,3]=>3
[+,4,+,2]=>3
[-,4,+,2]=>3
[+,4,-,2]=>3
[-,4,-,2]=>3
[2,1,+,+]=>3
[2,1,-,+]=>5
[2,1,+,-]=>3
[2,1,-,-]=>3
[2,1,4,3]=>3
[2,3,1,+]=>3
[2,3,1,-]=>2
[2,3,4,1]=>1
[2,4,1,3]=>2
[2,4,+,1]=>3
[2,4,-,1]=>2
[3,1,2,+]=>2
[3,1,2,-]=>2
[3,1,4,2]=>2
[3,+,1,+]=>3
[3,-,1,+]=>3
[3,+,1,-]=>3
[3,-,1,-]=>3
[3,+,4,1]=>3
[3,-,4,1]=>2
[3,4,1,2]=>1
[3,4,2,1]=>2
[4,1,2,3]=>1
[4,1,+,2]=>2
[4,1,-,2]=>3
[4,+,1,3]=>2
[4,-,1,3]=>3
[4,+,+,1]=>2
[4,-,+,1]=>5
[4,+,-,1]=>3
[4,-,-,1]=>2
[4,3,1,2]=>2
[4,3,2,1]=>3
[+,+,+,+,+]=>1
[-,+,+,+,+]=>6
[+,-,+,+,+]=>6
[+,+,-,+,+]=>6
[+,+,+,-,+]=>6
[+,+,+,+,-]=>4
[-,-,+,+,+]=>6
[-,+,-,+,+]=>6
[-,+,+,-,+]=>6
[-,+,+,+,-]=>6
[+,-,-,+,+]=>6
[+,-,+,-,+]=>6
[+,-,+,+,-]=>6
[+,+,-,-,+]=>6
[+,+,-,+,-]=>6
[+,+,+,-,-]=>4
[-,-,-,+,+]=>6
[-,-,+,-,+]=>6
[-,-,+,+,-]=>6
[-,+,-,-,+]=>6
[-,+,-,+,-]=>6
[-,+,+,-,-]=>6
[+,-,-,-,+]=>6
[+,-,-,+,-]=>6
[+,-,+,-,-]=>6
[+,+,-,-,-]=>4
[-,-,-,-,+]=>6
[-,-,-,+,-]=>6
[-,-,+,-,-]=>6
[-,+,-,-,-]=>6
[+,-,-,-,-]=>4
[-,-,-,-,-]=>1
[+,+,+,5,4]=>4
[-,+,+,5,4]=>6
[+,-,+,5,4]=>6
[+,+,-,5,4]=>4
[-,-,+,5,4]=>6
[-,+,-,5,4]=>6
[+,-,-,5,4]=>4
[-,-,-,5,4]=>4
[+,+,4,3,+]=>4
[-,+,4,3,+]=>6
[+,-,4,3,+]=>4
[+,+,4,3,-]=>4
[-,-,4,3,+]=>4
[-,+,4,3,-]=>6
[+,-,4,3,-]=>4
[-,-,4,3,-]=>4
[+,+,4,5,3]=>3
[-,+,4,5,3]=>6
[+,-,4,5,3]=>4
[-,-,4,5,3]=>3
[+,+,5,3,4]=>3
[-,+,5,3,4]=>6
[+,-,5,3,4]=>4
[-,-,5,3,4]=>3
[+,+,5,+,3]=>4
[-,+,5,+,3]=>6
[+,-,5,+,3]=>4
[+,+,5,-,3]=>4
[-,-,5,+,3]=>4
[-,+,5,-,3]=>6
[+,-,5,-,3]=>4
[-,-,5,-,3]=>4
[+,3,2,+,+]=>4
[-,3,2,+,+]=>4
[+,3,2,-,+]=>6
[+,3,2,+,-]=>4
[-,3,2,-,+]=>6
[-,3,2,+,-]=>4
[+,3,2,-,-]=>4
[-,3,2,-,-]=>4
[+,3,2,5,4]=>4
[-,3,2,5,4]=>4
[+,3,4,2,+]=>3
[-,3,4,2,+]=>3
[+,3,4,2,-]=>3
[-,3,4,2,-]=>3
[+,3,4,5,2]=>3
[-,3,4,5,2]=>2
[+,3,5,2,4]=>3
[-,3,5,2,4]=>2
[+,3,5,+,2]=>4
[-,3,5,+,2]=>4
[+,3,5,-,2]=>3
[-,3,5,-,2]=>3
[+,4,2,3,+]=>3
[-,4,2,3,+]=>3
[+,4,2,3,-]=>3
[-,4,2,3,-]=>3
[+,4,2,5,3]=>3
[-,4,2,5,3]=>3
[+,4,+,2,+]=>4
[-,4,+,2,+]=>4
[+,4,-,2,+]=>4
[+,4,+,2,-]=>4
[-,4,-,2,+]=>4
[-,4,+,2,-]=>4
[+,4,-,2,-]=>4
[-,4,-,2,-]=>4
[+,4,+,5,2]=>4
[-,4,+,5,2]=>4
[+,4,-,5,2]=>2
[-,4,-,5,2]=>3
[+,4,5,2,3]=>2
[-,4,5,2,3]=>3
[+,4,5,3,2]=>3
[-,4,5,3,2]=>3
[+,5,2,3,4]=>2
[-,5,2,3,4]=>4
[+,5,2,+,3]=>2
[-,5,2,+,3]=>4
[+,5,2,-,3]=>4
[-,5,2,-,3]=>4
[+,5,+,2,4]=>3
[-,5,+,2,4]=>4
[+,5,-,2,4]=>4
[-,5,-,2,4]=>4
[+,5,+,+,2]=>3
[-,5,+,+,2]=>4
[+,5,-,+,2]=>6
[+,5,+,-,2]=>4
[-,5,-,+,2]=>6
[-,5,+,-,2]=>4
[+,5,-,-,2]=>3
[-,5,-,-,2]=>4
[+,5,4,2,3]=>3
[-,5,4,2,3]=>4
[+,5,4,3,2]=>4
[-,5,4,3,2]=>4
[2,1,+,+,+]=>4
[2,1,-,+,+]=>6
[2,1,+,-,+]=>6
[2,1,+,+,-]=>4
[2,1,-,-,+]=>6
[2,1,-,+,-]=>6
[2,1,+,-,-]=>4
[2,1,-,-,-]=>4
[2,1,+,5,4]=>4
[2,1,-,5,4]=>4
[2,1,4,3,+]=>4
[2,1,4,3,-]=>4
[2,1,4,5,3]=>4
[2,1,5,3,4]=>4
[2,1,5,+,3]=>4
[2,1,5,-,3]=>4
[2,3,1,+,+]=>3
[2,3,1,-,+]=>6
[2,3,1,+,-]=>4
[2,3,1,-,-]=>3
[2,3,1,5,4]=>4
[2,3,4,1,+]=>4
[2,3,4,1,-]=>2
[2,3,4,5,1]=>1
[2,3,5,1,4]=>3
[2,3,5,+,1]=>4
[2,3,5,-,1]=>2
[2,4,1,3,+]=>2
[2,4,1,3,-]=>3
[2,4,1,5,3]=>3
[2,4,+,1,+]=>4
[2,4,-,1,+]=>4
[2,4,+,1,-]=>4
[2,4,-,1,-]=>3
[2,4,+,5,1]=>4
[2,4,-,5,1]=>2
[2,4,5,1,3]=>2
[2,4,5,3,1]=>3
[2,5,1,3,4]=>3
[2,5,1,+,3]=>3
[2,5,1,-,3]=>4
[2,5,+,1,4]=>3
[2,5,-,1,4]=>3
[2,5,+,+,1]=>3
[2,5,-,+,1]=>6
[2,5,+,-,1]=>4
[2,5,-,-,1]=>3
[2,5,4,1,3]=>3
[2,5,4,3,1]=>4
[3,1,2,+,+]=>3
[3,1,2,-,+]=>6
[3,1,2,+,-]=>4
[3,1,2,-,-]=>3
[3,1,2,5,4]=>4
[3,1,4,2,+]=>3
[3,1,4,2,-]=>3
[3,1,4,5,2]=>3
[3,1,5,2,4]=>3
[3,1,5,+,2]=>4
[3,1,5,-,2]=>3
[3,+,1,+,+]=>4
[3,-,1,+,+]=>4
[3,+,1,-,+]=>6
[3,+,1,+,-]=>4
[3,-,1,-,+]=>6
[3,-,1,+,-]=>4
[3,+,1,-,-]=>4
[3,-,1,-,-]=>4
[3,+,1,5,4]=>4
[3,-,1,5,4]=>4
[3,+,4,1,+]=>4
[3,-,4,1,+]=>4
[3,+,4,1,-]=>4
[3,-,4,1,-]=>2
[3,+,4,5,1]=>4
[3,-,4,5,1]=>2
[3,+,5,1,4]=>4
[3,-,5,1,4]=>3
[3,+,5,+,1]=>4
[3,-,5,+,1]=>4
[3,+,5,-,1]=>4
[3,-,5,-,1]=>3
[3,4,1,2,+]=>3
[3,4,1,2,-]=>2
[3,4,1,5,2]=>2
[3,4,2,1,+]=>4
[3,4,2,1,-]=>3
[3,4,2,5,1]=>3
[3,4,5,1,2]=>1
[3,4,5,2,1]=>2
[3,5,1,2,4]=>2
[3,5,1,+,2]=>3
[3,5,1,-,2]=>3
[3,5,2,1,4]=>3
[3,5,2,+,1]=>3
[3,5,2,-,1]=>3
[3,5,4,1,2]=>2
[3,5,4,2,1]=>3
[4,1,2,3,+]=>2
[4,1,2,3,-]=>3
[4,1,2,5,3]=>3
[4,1,+,2,+]=>3
[4,1,-,2,+]=>4
[4,1,+,2,-]=>2
[4,1,-,2,-]=>4
[4,1,+,5,2]=>3
[4,1,-,5,2]=>3
[4,1,5,2,3]=>2
[4,1,5,3,2]=>3
[4,+,1,3,+]=>3
[4,-,1,3,+]=>4
[4,+,1,3,-]=>3
[4,-,1,3,-]=>4
[4,+,1,5,3]=>3
[4,-,1,5,3]=>4
[4,+,+,1,+]=>4
[4,-,+,1,+]=>6
[4,+,-,1,+]=>4
[4,+,+,1,-]=>3
[4,-,-,1,+]=>4
[4,-,+,1,-]=>6
[4,+,-,1,-]=>4
[4,-,-,1,-]=>3
[4,+,+,5,1]=>3
[4,-,+,5,1]=>6
[4,+,-,5,1]=>4
[4,-,-,5,1]=>2
[4,+,5,1,3]=>3
[4,-,5,1,3]=>3
[4,+,5,3,1]=>3
[4,-,5,3,1]=>3
[4,3,1,2,+]=>3
[4,3,1,2,-]=>3
[4,3,1,5,2]=>3
[4,3,2,1,+]=>4
[4,3,2,1,-]=>4
[4,3,2,5,1]=>4
[4,3,5,1,2]=>2
[4,3,5,2,1]=>2
[4,5,1,2,3]=>1
[4,5,1,3,2]=>2
[4,5,2,1,3]=>2
[4,5,2,3,1]=>2
[4,5,+,1,2]=>3
[4,5,-,1,2]=>3
[4,5,+,2,1]=>3
[4,5,-,2,1]=>4
[5,1,2,3,4]=>1
[5,1,2,+,3]=>2
[5,1,2,-,3]=>4
[5,1,+,2,4]=>2
[5,1,-,2,4]=>4
[5,1,+,+,2]=>2
[5,1,-,+,2]=>6
[5,1,+,-,2]=>4
[5,1,-,-,2]=>3
[5,1,4,2,3]=>3
[5,1,4,3,2]=>4
[5,+,1,3,4]=>2
[5,-,1,3,4]=>4
[5,+,1,+,3]=>3
[5,-,1,+,3]=>4
[5,+,1,-,3]=>4
[5,-,1,-,3]=>4
[5,+,+,1,4]=>3
[5,-,+,1,4]=>6
[5,+,-,1,4]=>4
[5,-,-,1,4]=>3
[5,+,+,+,1]=>3
[5,-,+,+,1]=>6
[5,+,-,+,1]=>6
[5,+,+,-,1]=>4
[5,-,-,+,1]=>6
[5,-,+,-,1]=>6
[5,+,-,-,1]=>4
[5,-,-,-,1]=>3
[5,+,4,1,3]=>3
[5,-,4,1,3]=>3
[5,+,4,3,1]=>4
[5,-,4,3,1]=>4
[5,3,1,2,4]=>3
[5,3,1,+,2]=>3
[5,3,1,-,2]=>3
[5,3,2,1,4]=>4
[5,3,2,+,1]=>4
[5,3,2,-,1]=>4
[5,3,4,1,2]=>2
[5,3,4,2,1]=>3
[5,4,1,2,3]=>2
[5,4,1,3,2]=>2
[5,4,2,1,3]=>3
[5,4,2,3,1]=>3
[5,4,+,1,2]=>4
[5,4,-,1,2]=>3
[5,4,+,2,1]=>4
[5,4,-,2,1]=>4
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Description
The largest step for the associated bounded affine permutation.
The largest step is the largest distance between any two consecutive terms.
The largest step is the largest distance between any two consecutive terms.
References
[1] Lam, T. Totally nonnegative Grassmannian and Grassmann polytopes MathSciNet:3468251 arXiv:1506.00603
Code
def dectobap(pi):
bap=[]
tau = list(pi)
for j in range(0,len(tau)):
if tau[j]==(j+1):
#pos.dec., need to have j+n
bap.append(j+1+len(tau))
elif tau[j]<0:
#neg.dec., need to have j
bap.append(j+1)
else:
#displaced points, need to have been j and j+n
if tau[j]<(j+1):
add_n=tau[j]+len(tau)
bap.append(add_n)
else:
bap.append(tau[j])
return bap
def statistic(pi):
step=0
tau = dectobap(pi)
for i in range(0,len(tau)-1): #stops at 2nd to last index
if abs(tau[i+1]-tau[i])>step:
step=abs(tau[i+1]-tau[i])
return step
Created
May 12, 2020 at 22:50 by Danny Luecke
Updated
May 12, 2020 at 22:50 by Danny Luecke
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