Identifier
Values
=>
[+,+]=>3
[-,+]=>1
[+,-]=>-1
[-,-]=>-3
[2,1]=>0
[+,+,+]=>6
[-,+,+]=>4
[+,-,+]=>2
[+,+,-]=>0
[-,-,+]=>0
[-,+,-]=>-2
[+,-,-]=>-4
[-,-,-]=>-6
[+,3,2]=>1
[-,3,2]=>-1
[2,1,+]=>3
[2,1,-]=>-3
[2,3,1]=>0
[3,1,2]=>0
[3,+,1]=>2
[3,-,1]=>-2
[+,+,+,+]=>10
[-,+,+,+]=>8
[+,-,+,+]=>6
[+,+,-,+]=>4
[+,+,+,-]=>2
[-,-,+,+]=>4
[-,+,-,+]=>2
[-,+,+,-]=>0
[+,-,-,+]=>0
[+,-,+,-]=>-2
[+,+,-,-]=>-4
[-,-,-,+]=>-2
[-,-,+,-]=>-4
[-,+,-,-]=>-6
[+,-,-,-]=>-8
[-,-,-,-]=>-10
[+,+,4,3]=>3
[-,+,4,3]=>1
[+,-,4,3]=>-1
[-,-,4,3]=>-3
[+,3,2,+]=>5
[-,3,2,+]=>3
[+,3,2,-]=>-3
[-,3,2,-]=>-5
[+,3,4,2]=>1
[-,3,4,2]=>-1
[+,4,2,3]=>1
[-,4,2,3]=>-1
[+,4,+,2]=>4
[-,4,+,2]=>2
[+,4,-,2]=>-2
[-,4,-,2]=>-4
[2,1,+,+]=>7
[2,1,-,+]=>1
[2,1,+,-]=>-1
[2,1,-,-]=>-7
[2,1,4,3]=>0
[2,3,1,+]=>4
[2,3,1,-]=>-4
[2,3,4,1]=>0
[2,4,1,3]=>0
[2,4,+,1]=>3
[2,4,-,1]=>-3
[3,1,2,+]=>4
[3,1,2,-]=>-4
[3,1,4,2]=>0
[3,+,1,+]=>6
[3,-,1,+]=>2
[3,+,1,-]=>-2
[3,-,1,-]=>-6
[3,+,4,1]=>2
[3,-,4,1]=>-2
[3,4,1,2]=>0
[3,4,2,1]=>0
[4,1,2,3]=>0
[4,1,+,2]=>3
[4,1,-,2]=>-3
[4,+,1,3]=>2
[4,-,1,3]=>-2
[4,+,+,1]=>5
[4,-,+,1]=>1
[4,+,-,1]=>-1
[4,-,-,1]=>-5
[4,3,1,2]=>0
[4,3,2,1]=>0
[+,+,+,+,+]=>15
[-,+,+,+,+]=>13
[+,-,+,+,+]=>11
[+,+,-,+,+]=>9
[+,+,+,-,+]=>7
[+,+,+,+,-]=>5
[-,-,+,+,+]=>9
[-,+,-,+,+]=>7
[-,+,+,-,+]=>5
[-,+,+,+,-]=>3
[+,-,-,+,+]=>5
[+,-,+,-,+]=>3
[+,-,+,+,-]=>1
[+,+,-,-,+]=>1
[+,+,-,+,-]=>-1
[+,+,+,-,-]=>-3
[-,-,-,+,+]=>3
[-,-,+,-,+]=>1
[-,-,+,+,-]=>-1
[-,+,-,-,+]=>-1
[-,+,-,+,-]=>-3
[-,+,+,-,-]=>-5
[+,-,-,-,+]=>-3
[+,-,-,+,-]=>-5
[+,-,+,-,-]=>-7
[+,+,-,-,-]=>-9
[-,-,-,-,+]=>-5
[-,-,-,+,-]=>-7
[-,-,+,-,-]=>-9
[-,+,-,-,-]=>-11
[+,-,-,-,-]=>-13
[-,-,-,-,-]=>-15
[+,+,+,5,4]=>6
[-,+,+,5,4]=>4
[+,-,+,5,4]=>2
[+,+,-,5,4]=>0
[-,-,+,5,4]=>0
[-,+,-,5,4]=>-2
[+,-,-,5,4]=>-4
[-,-,-,5,4]=>-6
[+,+,4,3,+]=>8
[-,+,4,3,+]=>6
[+,-,4,3,+]=>4
[+,+,4,3,-]=>-2
[-,-,4,3,+]=>2
[-,+,4,3,-]=>-4
[+,-,4,3,-]=>-6
[-,-,4,3,-]=>-8
[+,+,4,5,3]=>3
[-,+,4,5,3]=>1
[+,-,4,5,3]=>-1
[-,-,4,5,3]=>-3
[+,+,5,3,4]=>3
[-,+,5,3,4]=>1
[+,-,5,3,4]=>-1
[-,-,5,3,4]=>-3
[+,+,5,+,3]=>7
[-,+,5,+,3]=>5
[+,-,5,+,3]=>3
[+,+,5,-,3]=>-1
[-,-,5,+,3]=>1
[-,+,5,-,3]=>-3
[+,-,5,-,3]=>-5
[-,-,5,-,3]=>-7
[+,3,2,+,+]=>10
[-,3,2,+,+]=>8
[+,3,2,-,+]=>2
[+,3,2,+,-]=>0
[-,3,2,-,+]=>0
[-,3,2,+,-]=>-2
[+,3,2,-,-]=>-8
[-,3,2,-,-]=>-10
[+,3,2,5,4]=>1
[-,3,2,5,4]=>-1
[+,3,4,2,+]=>6
[-,3,4,2,+]=>4
[+,3,4,2,-]=>-4
[-,3,4,2,-]=>-6
[+,3,4,5,2]=>1
[-,3,4,5,2]=>-1
[+,3,5,2,4]=>1
[-,3,5,2,4]=>-1
[+,3,5,+,2]=>5
[-,3,5,+,2]=>3
[+,3,5,-,2]=>-3
[-,3,5,-,2]=>-5
[+,4,2,3,+]=>6
[-,4,2,3,+]=>4
[+,4,2,3,-]=>-4
[-,4,2,3,-]=>-6
[+,4,2,5,3]=>1
[-,4,2,5,3]=>-1
[+,4,+,2,+]=>9
[-,4,+,2,+]=>7
[+,4,-,2,+]=>3
[+,4,+,2,-]=>-1
[-,4,-,2,+]=>1
[-,4,+,2,-]=>-3
[+,4,-,2,-]=>-7
[-,4,-,2,-]=>-9
[+,4,+,5,2]=>4
[-,4,+,5,2]=>2
[+,4,-,5,2]=>-2
[-,4,-,5,2]=>-4
[+,4,5,2,3]=>1
[-,4,5,2,3]=>-1
[+,4,5,3,2]=>1
[-,4,5,3,2]=>-1
[+,5,2,3,4]=>1
[-,5,2,3,4]=>-1
[+,5,2,+,3]=>5
[-,5,2,+,3]=>3
[+,5,2,-,3]=>-3
[-,5,2,-,3]=>-5
[+,5,+,2,4]=>4
[-,5,+,2,4]=>2
[+,5,-,2,4]=>-2
[-,5,-,2,4]=>-4
[+,5,+,+,2]=>8
[-,5,+,+,2]=>6
[+,5,-,+,2]=>2
[+,5,+,-,2]=>0
[-,5,-,+,2]=>0
[-,5,+,-,2]=>-2
[+,5,-,-,2]=>-6
[-,5,-,-,2]=>-8
[+,5,4,2,3]=>1
[-,5,4,2,3]=>-1
[+,5,4,3,2]=>1
[-,5,4,3,2]=>-1
[2,1,+,+,+]=>12
[2,1,-,+,+]=>6
[2,1,+,-,+]=>4
[2,1,+,+,-]=>2
[2,1,-,-,+]=>-2
[2,1,-,+,-]=>-4
[2,1,+,-,-]=>-6
[2,1,-,-,-]=>-12
[2,1,+,5,4]=>3
[2,1,-,5,4]=>-3
[2,1,4,3,+]=>5
[2,1,4,3,-]=>-5
[2,1,4,5,3]=>0
[2,1,5,3,4]=>0
[2,1,5,+,3]=>4
[2,1,5,-,3]=>-4
[2,3,1,+,+]=>9
[2,3,1,-,+]=>1
[2,3,1,+,-]=>-1
[2,3,1,-,-]=>-9
[2,3,1,5,4]=>0
[2,3,4,1,+]=>5
[2,3,4,1,-]=>-5
[2,3,4,5,1]=>0
[2,3,5,1,4]=>0
[2,3,5,+,1]=>4
[2,3,5,-,1]=>-4
[2,4,1,3,+]=>5
[2,4,1,3,-]=>-5
[2,4,1,5,3]=>0
[2,4,+,1,+]=>8
[2,4,-,1,+]=>2
[2,4,+,1,-]=>-2
[2,4,-,1,-]=>-8
[2,4,+,5,1]=>3
[2,4,-,5,1]=>-3
[2,4,5,1,3]=>0
[2,4,5,3,1]=>0
[2,5,1,3,4]=>0
[2,5,1,+,3]=>4
[2,5,1,-,3]=>-4
[2,5,+,1,4]=>3
[2,5,-,1,4]=>-3
[2,5,+,+,1]=>7
[2,5,-,+,1]=>1
[2,5,+,-,1]=>-1
[2,5,-,-,1]=>-7
[2,5,4,1,3]=>0
[2,5,4,3,1]=>0
[3,1,2,+,+]=>9
[3,1,2,-,+]=>1
[3,1,2,+,-]=>-1
[3,1,2,-,-]=>-9
[3,1,2,5,4]=>0
[3,1,4,2,+]=>5
[3,1,4,2,-]=>-5
[3,1,4,5,2]=>0
[3,1,5,2,4]=>0
[3,1,5,+,2]=>4
[3,1,5,-,2]=>-4
[3,+,1,+,+]=>11
[3,-,1,+,+]=>7
[3,+,1,-,+]=>3
[3,+,1,+,-]=>1
[3,-,1,-,+]=>-1
[3,-,1,+,-]=>-3
[3,+,1,-,-]=>-7
[3,-,1,-,-]=>-11
[3,+,1,5,4]=>2
[3,-,1,5,4]=>-2
[3,+,4,1,+]=>7
[3,-,4,1,+]=>3
[3,+,4,1,-]=>-3
[3,-,4,1,-]=>-7
[3,+,4,5,1]=>2
[3,-,4,5,1]=>-2
[3,+,5,1,4]=>2
[3,-,5,1,4]=>-2
[3,+,5,+,1]=>6
[3,-,5,+,1]=>2
[3,+,5,-,1]=>-2
[3,-,5,-,1]=>-6
[3,4,1,2,+]=>5
[3,4,1,2,-]=>-5
[3,4,1,5,2]=>0
[3,4,2,1,+]=>5
[3,4,2,1,-]=>-5
[3,4,2,5,1]=>0
[3,4,5,1,2]=>0
[3,4,5,2,1]=>0
[3,5,1,2,4]=>0
[3,5,1,+,2]=>4
[3,5,1,-,2]=>-4
[3,5,2,1,4]=>0
[3,5,2,+,1]=>4
[3,5,2,-,1]=>-4
[3,5,4,1,2]=>0
[3,5,4,2,1]=>0
[4,1,2,3,+]=>5
[4,1,2,3,-]=>-5
[4,1,2,5,3]=>0
[4,1,+,2,+]=>8
[4,1,-,2,+]=>2
[4,1,+,2,-]=>-2
[4,1,-,2,-]=>-8
[4,1,+,5,2]=>3
[4,1,-,5,2]=>-3
[4,1,5,2,3]=>0
[4,1,5,3,2]=>0
[4,+,1,3,+]=>7
[4,-,1,3,+]=>3
[4,+,1,3,-]=>-3
[4,-,1,3,-]=>-7
[4,+,1,5,3]=>2
[4,-,1,5,3]=>-2
[4,+,+,1,+]=>10
[4,-,+,1,+]=>6
[4,+,-,1,+]=>4
[4,+,+,1,-]=>0
[4,-,-,1,+]=>0
[4,-,+,1,-]=>-4
[4,+,-,1,-]=>-6
[4,-,-,1,-]=>-10
[4,+,+,5,1]=>5
[4,-,+,5,1]=>1
[4,+,-,5,1]=>-1
[4,-,-,5,1]=>-5
[4,+,5,1,3]=>2
[4,-,5,1,3]=>-2
[4,+,5,3,1]=>2
[4,-,5,3,1]=>-2
[4,3,1,2,+]=>5
[4,3,1,2,-]=>-5
[4,3,1,5,2]=>0
[4,3,2,1,+]=>5
[4,3,2,1,-]=>-5
[4,3,2,5,1]=>0
[4,3,5,1,2]=>0
[4,3,5,2,1]=>0
[4,5,1,2,3]=>0
[4,5,1,3,2]=>0
[4,5,2,1,3]=>0
[4,5,2,3,1]=>0
[4,5,+,1,2]=>3
[4,5,-,1,2]=>-3
[4,5,+,2,1]=>3
[4,5,-,2,1]=>-3
[5,1,2,3,4]=>0
[5,1,2,+,3]=>4
[5,1,2,-,3]=>-4
[5,1,+,2,4]=>3
[5,1,-,2,4]=>-3
[5,1,+,+,2]=>7
[5,1,-,+,2]=>1
[5,1,+,-,2]=>-1
[5,1,-,-,2]=>-7
[5,1,4,2,3]=>0
[5,1,4,3,2]=>0
[5,+,1,3,4]=>2
[5,-,1,3,4]=>-2
[5,+,1,+,3]=>6
[5,-,1,+,3]=>2
[5,+,1,-,3]=>-2
[5,-,1,-,3]=>-6
[5,+,+,1,4]=>5
[5,-,+,1,4]=>1
[5,+,-,1,4]=>-1
[5,-,-,1,4]=>-5
[5,+,+,+,1]=>9
[5,-,+,+,1]=>5
[5,+,-,+,1]=>3
[5,+,+,-,1]=>1
[5,-,-,+,1]=>-1
[5,-,+,-,1]=>-3
[5,+,-,-,1]=>-5
[5,-,-,-,1]=>-9
[5,+,4,1,3]=>2
[5,-,4,1,3]=>-2
[5,+,4,3,1]=>2
[5,-,4,3,1]=>-2
[5,3,1,2,4]=>0
[5,3,1,+,2]=>4
[5,3,1,-,2]=>-4
[5,3,2,1,4]=>0
[5,3,2,+,1]=>4
[5,3,2,-,1]=>-4
[5,3,4,1,2]=>0
[5,3,4,2,1]=>0
[5,4,1,2,3]=>0
[5,4,1,3,2]=>0
[5,4,2,1,3]=>0
[5,4,2,3,1]=>0
[5,4,+,1,2]=>3
[5,4,-,1,2]=>-3
[5,4,+,2,1]=>3
[5,4,-,2,1]=>-3
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Description
Sum of decorated fixed points as signed integers.
Every fixed point decorated with a '+' is treated as a positive integer, and every fixed point decorated with a '-' is treated as a negative integer.
Every fixed point decorated with a '+' is treated as a positive integer, and every fixed point decorated with a '-' is treated as a negative integer.
Code
def fixed_points_with_signs(pi):
pi = list(pi)
tau = []
for i,a in enumerate(pi):
if i+1==abs(a):
tau.append(pi[i])
return tau
def statistic(pi):
return sum(list(fixed_points_with_signs(pi)))
Created
May 11, 2020 at 18:39 by James Thorne
Updated
May 11, 2020 at 18:39 by James Thorne
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