************************************************************************
* www.FindStat.org - The Combinatorial Statistic Finder *
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* Copyright (C) 2013 The FindStatCrew <info@findstat.org> *
* *
* This information is distributed in the hope that it will be *
* useful, but WITHOUT ANY WARRANTY; without even the implied *
* warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
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------------------------------------------------------------------------
Map identifier: Mp00281
------------------------------------------------------------------------
Map name: rowmotion
------------------------------------------------------------------------
Domain: Signed permutations
------------------------------------------------------------------------
Codomain: Signed permutations
------------------------------------------------------------------------
Description: The rowmotion of a signed permutation with respect to the sorting order.
The sorting order on signed permutations (with respect to the Coxeter element $-n, 1, 2,\dots, n-1$) is defined in [1].
------------------------------------------------------------------------
References: [1] Armstrong, D. The sorting order on a Coxeter group [[MathSciNet:2568800]] [[arXiv:0712.1047]]
------------------------------------------------------------------------
Code:
def mapping(pi):
return from_signed_lehmer(rowmotion_signed_permutation_lehmer(signed_lehmer(pi)))
def from_lehmer_cocode(lehmer, parent=Permutations()):
r"""
Return the permutation with Lehmer cocode ``lehmer``.
The Lehmer cocode of a permutation `p` is defined as the
list `(c_1, c_2, \ldots, c_n)`, where `c_i` is the number
of `j < i` such that `p(j) > p(i)`.
EXAMPLES::
sage: import sage.combinat.permutation as permutation
sage: lcc = Permutation([2,1,5,4,3]).to_lehmer_cocode(); lcc
[0, 1, 0, 1, 2]
sage: permutation.from_lehmer_cocode(lcc)
[2, 1, 5, 4, 3]
"""
p = []
ell = len(lehmer)
i = ell-1
open_spots = list(range(1, ell+1))
for ivi in reversed(lehmer):
p.append(open_spots.pop(i-ivi))
i -= 1
p.reverse()
return parent(p)
def signed_lehmer(pi):
signs = [0]*(len(pi))
for i, sign in enumerate(pi.colors()):
if sign < 0:
signs[-pi[i]-1] = 1
code = standardize(pi).to_lehmer_cocode()
return code, signs
def from_signed_lehmer(L):
code, signs = L
sigma = from_lehmer_cocode(code)
n = len(code)
entries = ([i for i, sign in enumerate(signs, 1) if not sign]
+ [-n+i for i, sign in enumerate(reversed(signs)) if sign])
return SignedPermutation([entries[sigma[i]-1] for i in range(n)])
def standardize(pi):
from sage.combinat.permutation import to_standard
n = len(list(pi))
return Permutation(to_standard([e if e > 0 else 2*n+1+e for e in pi]))
def rowmotion_binary_words_of_signs(w):
n = len(w)
a = 0
w1 = []
i = 0
while i < n:
if w[i]:
a += 1
i += 1
elif i+1 == n:
w1.extend([1]*(a+1))
i += 2
a = 0
elif w[i+1]:
w1.extend([1]*(a+1) + [0])
i += 2
a = 0
else:
w1.append(0)
i += 1
w1.extend([0]*a)
return w1
def rowmotion_signed_permutation_lehmer(L):
code, signs = L
r_code = tuple((e + 1) % i for i, e in enumerate(code, 1))
r_signs = rowmotion_binary_words_of_signs(signs)
return r_code, r_signs
------------------------------------------------------------------------
Map images:
[1] => [-1]
[-1] => [1]
[1,2] => [-2,1]
[1,-2] => [-1,2]
[-1,2] => [-2,-1]
[-1,-2] => [1,2]
[2,1] => [1,-2]
[2,-1] => [-1,-2]
[-2,1] => [2,-1]
[-2,-1] => [2,1]
[1,2,3] => [-3,1,2]
[1,2,-3] => [-2,1,3]
[1,-2,3] => [-1,-3,2]
[1,-2,-3] => [-1,3,2]
[-1,2,3] => [-3,-2,1]
[-1,2,-3] => [-2,-1,3]
[-1,-2,3] => [-3,-2,-1]
[-1,-2,-3] => [1,2,3]
[1,3,2] => [-3,2,1]
[1,3,-2] => [-1,2,-3]
[1,-3,2] => [-2,3,1]
[1,-3,-2] => [-1,2,3]
[-1,3,2] => [1,-3,-2]
[-1,3,-2] => [-2,-1,-3]
[-1,-3,2] => [3,-2,-1]
[-1,-3,-2] => [2,3,1]
[2,1,3] => [1,-3,2]
[2,1,-3] => [1,-2,3]
[2,-1,3] => [-2,-3,1]
[2,-1,-3] => [-1,-2,3]
[-2,1,3] => [-3,-1,2]
[-2,1,-3] => [3,-1,2]
[-2,-1,3] => [-2,-3,-1]
[-2,-1,-3] => [2,1,3]
[2,3,1] => [2,1,-3]
[2,3,-1] => [-2,1,-3]
[2,-3,1] => [3,1,-2]
[2,-3,-1] => [-1,3,-2]
[-2,3,1] => [2,-3,-1]
[-2,3,-1] => [-3,-1,-2]
[-2,-3,1] => [2,3,-1]
[-2,-3,-1] => [1,3,2]
[3,1,2] => [2,-3,1]
[3,1,-2] => [2,-1,-3]
[3,-1,2] => [-3,1,-2]
[3,-1,-2] => [-1,-2,-3]
[-3,1,2] => [3,-2,1]
[-3,1,-2] => [2,-1,3]
[-3,-1,2] => [-2,3,-1]
[-3,-1,-2] => [3,2,1]
[3,2,1] => [1,2,-3]
[3,2,-1] => [1,-2,-3]
[3,-2,1] => [-3,2,-1]
[3,-2,-1] => [-1,-3,-2]
[-3,2,1] => [1,3,-2]
[-3,2,-1] => [3,-1,-2]
[-3,-2,1] => [3,2,-1]
[-3,-2,-1] => [3,1,2]
[1,2,3,4] => [-4,1,2,3]
[1,2,3,-4] => [-3,1,2,4]
[1,2,-3,4] => [-2,1,-4,3]
[1,2,-3,-4] => [-2,1,4,3]
[1,-2,3,4] => [-1,-4,2,3]
[1,-2,3,-4] => [-1,-3,2,4]
[1,-2,-3,4] => [-1,-3,-4,2]
[1,-2,-3,-4] => [-1,4,3,2]
[-1,2,3,4] => [-4,-3,1,2]
[-1,2,3,-4] => [-3,-2,1,4]
[-1,2,-3,4] => [-2,-1,-4,3]
[-1,2,-3,-4] => [-2,-1,4,3]
[-1,-2,3,4] => [-4,-3,-2,1]
[-1,-2,3,-4] => [-3,-2,-1,4]
[-1,-2,-3,4] => [-4,-3,-2,-1]
[-1,-2,-3,-4] => [1,2,3,4]
[1,2,4,3] => [-4,1,3,2]
[1,2,4,-3] => [-2,1,3,-4]
[1,2,-4,3] => [-3,1,4,2]
[1,2,-4,-3] => [-2,1,3,4]
[1,-2,4,3] => [-1,-4,3,2]
[1,-2,4,-3] => [-1,-3,2,-4]
[1,-2,-4,3] => [-1,-3,4,2]
[1,-2,-4,-3] => [-1,4,2,3]
[-1,2,4,3] => [-4,-3,2,1]
[-1,2,4,-3] => [-2,-1,3,-4]
[-1,2,-4,3] => [-3,-2,4,1]
[-1,2,-4,-3] => [-2,-1,3,4]
[-1,-2,4,3] => [1,-4,-3,-2]
[-1,-2,4,-3] => [-3,-2,-1,-4]
[-1,-2,-4,3] => [4,-3,-2,-1]
[-1,-2,-4,-3] => [2,3,4,1]
[1,3,2,4] => [-4,2,1,3]
[1,3,2,-4] => [-3,2,1,4]
[1,3,-2,4] => [-1,2,-4,3]
[1,3,-2,-4] => [-1,2,-3,4]
[1,-3,2,4] => [-2,-4,1,3]
[1,-3,2,-4] => [-2,4,1,3]
[1,-3,-2,4] => [-1,-4,-3,2]
[1,-3,-2,-4] => [-1,3,4,2]
[-1,3,2,4] => [1,-4,-3,2]
[-1,3,2,-4] => [1,-3,-2,4]
[-1,3,-2,4] => [-3,-2,-4,1]
[-1,3,-2,-4] => [-2,-1,-3,4]
[-1,-3,2,4] => [-4,-2,-1,3]
[-1,-3,2,-4] => [4,-2,-1,3]
[-1,-3,-2,4] => [-3,-2,-4,-1]
[-1,-3,-2,-4] => [2,3,1,4]
[1,3,4,2] => [-4,2,3,1]
[1,3,4,-2] => [-1,2,3,-4]
[1,3,-4,2] => [-3,2,4,1]
[1,3,-4,-2] => [-1,2,4,-3]
[1,-3,4,2] => [-2,-4,3,1]
[1,-3,4,-2] => [-1,-4,2,-3]
[1,-3,-4,2] => [-2,4,3,1]
[1,-3,-4,-2] => [-1,3,2,4]
[-1,3,4,2] => [2,-4,1,-3]
[-1,3,4,-2] => [-3,-2,1,-4]
[-1,3,-4,2] => [4,-3,1,-2]
[-1,3,-4,-2] => [-2,-1,4,-3]
[-1,-3,4,2] => [3,-4,-2,-1]
[-1,-3,4,-2] => [-4,-2,-1,-3]
[-1,-3,-4,2] => [3,4,-2,-1]
[-1,-3,-4,-2] => [1,3,4,2]
[1,4,2,3] => [-4,3,1,2]
[1,4,2,-3] => [-2,3,1,-4]
[1,4,-2,3] => [-1,3,-4,2]
[1,4,-2,-3] => [-1,2,-3,-4]
[1,-4,2,3] => [-3,4,1,2]
[1,-4,2,-3] => [-2,3,1,4]
[1,-4,-2,3] => [-1,4,-3,2]
[1,-4,-2,-3] => [-1,2,4,3]
[-1,4,2,3] => [2,-4,-3,1]
[-1,4,2,-3] => [3,-2,-1,-4]
[-1,4,-2,3] => [-4,-3,1,-2]
[-1,4,-2,-3] => [-2,-1,-3,-4]
[-1,-4,2,3] => [4,-3,-2,1]
[-1,-4,2,-3] => [3,-2,-1,4]
[-1,-4,-2,3] => [-3,-2,4,-1]
[-1,-4,-2,-3] => [3,4,2,1]
[1,4,3,2] => [-4,3,2,1]
[1,4,3,-2] => [-1,3,2,-4]
[1,4,-3,2] => [-2,3,-4,1]
[1,4,-3,-2] => [-1,2,-4,-3]
[1,-4,3,2] => [-3,4,2,1]
[1,-4,3,-2] => [-1,4,2,-3]
[1,-4,-3,2] => [-2,3,4,1]
[1,-4,-3,-2] => [-1,2,3,4]
[-1,4,3,2] => [1,2,-4,-3]
[-1,4,3,-2] => [1,-3,-2,-4]
[-1,4,-3,2] => [-4,-2,3,-1]
[-1,4,-3,-2] => [-2,-1,-4,-3]
[-1,-4,3,2] => [1,4,-3,-2]
[-1,-4,3,-2] => [4,-2,-1,-3]
[-1,-4,-3,2] => [4,-2,3,-1]
[-1,-4,-3,-2] => [3,4,1,2]
[2,1,3,4] => [1,-4,2,3]
[2,1,3,-4] => [1,-3,2,4]
[2,1,-3,4] => [1,-2,-4,3]
[2,1,-3,-4] => [1,-2,4,3]
[2,-1,3,4] => [-3,-4,1,2]
[2,-1,3,-4] => [-2,-3,1,4]
[2,-1,-3,4] => [-1,-2,-4,3]
[2,-1,-3,-4] => [-1,-2,4,3]
[-2,1,3,4] => [-4,-1,2,3]
[-2,1,3,-4] => [-3,-1,2,4]
[-2,1,-3,4] => [-3,-1,-4,2]
[-2,1,-3,-4] => [4,-1,3,2]
[-2,-1,3,4] => [-3,-4,-2,1]
[-2,-1,3,-4] => [-2,-3,-1,4]
[-2,-1,-3,4] => [-3,-4,-2,-1]
[-2,-1,-3,-4] => [2,1,3,4]
[2,1,4,3] => [1,-4,3,2]
[2,1,4,-3] => [1,-2,3,-4]
[2,1,-4,3] => [1,-3,4,2]
[2,1,-4,-3] => [1,-2,3,4]
[2,-1,4,3] => [-3,-4,2,1]
[2,-1,4,-3] => [-1,-2,3,-4]
[2,-1,-4,3] => [-2,-3,4,1]
[2,-1,-4,-3] => [-1,-2,3,4]
[-2,1,4,3] => [-4,-1,3,2]
[-2,1,4,-3] => [-3,-1,2,-4]
[-2,1,-4,3] => [-3,-1,4,2]
[-2,1,-4,-3] => [4,-1,2,3]
[-2,-1,4,3] => [-4,1,-3,-2]
[-2,-1,4,-3] => [-2,-3,-1,-4]
[-2,-1,-4,3] => [-3,4,-2,-1]
[-2,-1,-4,-3] => [3,2,4,1]
[2,3,1,4] => [2,1,-4,3]
[2,3,1,-4] => [2,1,-3,4]
[2,3,-1,4] => [-3,1,-4,2]
[2,3,-1,-4] => [-2,1,-3,4]
[2,-3,1,4] => [-4,1,-2,3]
[2,-3,1,-4] => [4,1,-2,3]
[2,-3,-1,4] => [-1,-4,-2,3]
[2,-3,-1,-4] => [-1,4,-2,3]
[-2,3,1,4] => [2,-4,-1,3]
[-2,3,1,-4] => [2,-3,-1,4]
[-2,3,-1,4] => [-4,-2,-3,1]
[-2,3,-1,-4] => [-3,-1,-2,4]
[-2,-3,1,4] => [-4,-3,-1,2]
[-2,-3,1,-4] => [3,4,-1,2]
[-2,-3,-1,4] => [-4,-2,-3,-1]
[-2,-3,-1,-4] => [1,3,2,4]
[2,3,4,1] => [3,1,2,-4]
[2,3,4,-1] => [-3,1,2,-4]
[2,3,-4,1] => [4,1,2,-3]
[2,3,-4,-1] => [-2,1,4,-3]
[2,-3,4,1] => [-4,3,1,-2]
[2,-3,4,-1] => [-1,-4,3,-2]
[2,-3,-4,1] => [4,3,1,-2]
[2,-3,-4,-1] => [-1,4,3,-2]
[-2,3,4,1] => [3,-4,2,-1]
[-2,3,4,-1] => [-4,-2,1,-3]
[-2,3,-4,1] => [4,-3,2,-1]
[-2,3,-4,-1] => [-3,-1,4,-2]
[-2,-3,4,1] => [2,-4,-3,-1]
[-2,-3,4,-1] => [-4,-3,-1,-2]
[-2,-3,-4,1] => [2,3,4,-1]
[-2,-3,-4,-1] => [1,2,4,3]
[2,4,1,3] => [3,1,-4,2]
[2,4,1,-3] => [3,1,-2,-4]
[2,4,-1,3] => [-3,2,-4,1]
[2,4,-1,-3] => [-1,3,-2,-4]
[2,-4,1,3] => [4,1,-3,2]
[2,-4,1,-3] => [3,1,-2,4]
[2,-4,-1,3] => [-2,4,-3,1]
[2,-4,-1,-3] => [-1,3,-2,4]
[-2,4,1,3] => [3,-4,-1,2]
[-2,4,1,-3] => [2,-3,-1,-4]
[-2,4,-1,3] => [1,-3,-4,-2]
[-2,4,-1,-3] => [-3,-1,-2,-4]
[-2,-4,1,3] => [4,-3,-1,2]
[-2,-4,1,-3] => [2,4,-1,3]
[-2,-4,-1,3] => [4,-2,-3,-1]
[-2,-4,-1,-3] => [2,4,3,1]
[2,4,3,1] => [3,2,1,-4]
[2,4,3,-1] => [-3,2,1,-4]
[2,4,-3,1] => [-4,1,3,-2]
[2,4,-3,-1] => [-1,3,-4,-2]
[2,-4,3,1] => [4,2,1,-3]
[2,-4,3,-1] => [-2,4,1,-3]
[2,-4,-3,1] => [4,1,3,-2]
[2,-4,-3,-1] => [-1,3,4,-2]
[-2,4,3,1] => [2,3,-4,-1]
[-2,4,3,-1] => [1,-4,-2,-3]
[-2,4,-3,1] => [-4,-3,2,-1]
[-2,4,-3,-1] => [-3,-1,-4,-2]
[-2,-4,3,1] => [2,4,-3,-1]
[-2,-4,3,-1] => [4,-3,-1,-2]
[-2,-4,-3,1] => [3,4,2,-1]
[-2,-4,-3,-1] => [2,4,1,3]
[3,1,2,4] => [2,-4,1,3]
[3,1,2,-4] => [2,-3,1,4]
[3,1,-2,4] => [2,-1,-4,3]
[3,1,-2,-4] => [2,-1,-3,4]
[3,-1,2,4] => [-4,1,-3,2]
[3,-1,2,-4] => [-3,1,-2,4]
[3,-1,-2,4] => [-2,-3,-4,1]
[3,-1,-2,-4] => [-1,-2,-3,4]
[-3,1,2,4] => [-4,-2,1,3]
[-3,1,2,-4] => [4,-2,1,3]
[-3,1,-2,4] => [-4,-1,-3,2]
[-3,1,-2,-4] => [3,-1,4,2]
[-3,-1,2,4] => [-2,-4,-1,3]
[-3,-1,2,-4] => [-2,4,-1,3]
[-3,-1,-2,4] => [-2,-3,-4,-1]
[-3,-1,-2,-4] => [3,2,1,4]
[3,1,4,2] => [2,-4,3,1]
[3,1,4,-2] => [2,-1,3,-4]
[3,1,-4,2] => [2,-3,4,1]
[3,1,-4,-2] => [2,-1,4,-3]
[3,-1,4,2] => [-4,2,1,-3]
[3,-1,4,-2] => [-2,-3,1,-4]
[3,-1,-4,2] => [-3,4,1,-2]
[3,-1,-4,-2] => [-1,-2,4,-3]
[-3,1,4,2] => [-4,-2,3,1]
[-3,1,4,-2] => [-4,-1,2,-3]
[-3,1,-4,2] => [4,-2,3,1]
[-3,1,-4,-2] => [3,-1,2,4]
[-3,-1,4,2] => [-4,3,-2,-1]
[-3,-1,4,-2] => [-2,-4,-1,-3]
[-3,-1,-4,2] => [4,3,-2,-1]
[-3,-1,-4,-2] => [3,1,4,2]
[3,2,1,4] => [1,2,-4,3]
[3,2,1,-4] => [1,2,-3,4]
[3,2,-1,4] => [1,-3,-4,2]
[3,2,-1,-4] => [1,-2,-3,4]
[3,-2,1,4] => [-4,2,-1,3]
[3,-2,1,-4] => [-3,2,-1,4]
[3,-2,-1,4] => [-2,-4,-3,1]
[3,-2,-1,-4] => [-1,-3,-2,4]
[-3,2,1,4] => [1,-4,-2,3]
[-3,2,1,-4] => [1,4,-2,3]
[-3,2,-1,4] => [-4,-1,-2,3]
[-3,2,-1,-4] => [4,-1,-2,3]
[-3,-2,1,4] => [-3,-4,-1,2]
[-3,-2,1,-4] => [4,3,-1,2]
[-3,-2,-1,4] => [-2,-4,-3,-1]
[-3,-2,-1,-4] => [3,1,2,4]
[3,2,4,1] => [1,3,2,-4]
[3,2,4,-1] => [1,-3,2,-4]
[3,2,-4,1] => [1,4,2,-3]
[3,2,-4,-1] => [1,-2,4,-3]
[3,-2,4,1] => [-4,3,2,-1]
[3,-2,4,-1] => [-2,-4,1,-3]
[3,-2,-4,1] => [-3,4,2,-1]
[3,-2,-4,-1] => [-1,-3,4,-2]
[-3,2,4,1] => [3,-4,1,-2]
[-3,2,4,-1] => [-4,-1,3,-2]
[-3,2,-4,1] => [3,4,1,-2]
[-3,2,-4,-1] => [4,-1,3,-2]
[-3,-2,4,1] => [-4,2,-3,-1]
[-3,-2,4,-1] => [-3,-4,-1,-2]
[-3,-2,-4,1] => [3,2,4,-1]
[-3,-2,-4,-1] => [2,1,4,3]
[3,4,1,2] => [3,2,-4,1]
[3,4,1,-2] => [3,2,-1,-4]
[3,4,-1,2] => [-4,1,2,-3]
[3,4,-1,-2] => [-2,1,-3,-4]
[3,-4,1,2] => [4,2,-3,1]
[3,-4,1,-2] => [4,2,-1,-3]
[3,-4,-1,2] => [-3,1,4,-2]
[3,-4,-1,-2] => [-1,4,-2,-3]
[-3,4,1,2] => [3,-4,-2,1]
[-3,4,1,-2] => [2,-4,-1,-3]
[-3,4,-1,2] => [3,-2,-4,-1]
[-3,4,-1,-2] => [-4,-1,-2,-3]
[-3,-4,1,2] => [3,4,-2,1]
[-3,-4,1,-2] => [2,3,-1,4]
[-3,-4,-1,2] => [3,-2,4,-1]
[-3,-4,-1,-2] => [1,4,3,2]
[3,4,2,1] => [2,1,3,-4]
[3,4,2,-1] => [2,1,-3,-4]
[3,4,-2,1] => [-4,2,3,-1]
[3,4,-2,-1] => [-2,1,-4,-3]
[3,-4,2,1] => [2,1,4,-3]
[3,-4,2,-1] => [4,1,-2,-3]
[3,-4,-2,1] => [-3,2,4,-1]
[3,-4,-2,-1] => [-1,4,-3,-2]
[-3,4,2,1] => [1,3,-4,-2]
[-3,4,2,-1] => [3,-4,-1,-2]
[-3,4,-2,1] => [2,-3,-4,-1]
[-3,4,-2,-1] => [-4,-1,-3,-2]
[-3,-4,2,1] => [1,3,4,-2]
[-3,-4,2,-1] => [3,4,-1,-2]
[-3,-4,-2,1] => [2,4,3,-1]
[-3,-4,-2,-1] => [1,4,2,3]
[4,1,2,3] => [3,-4,1,2]
[4,1,2,-3] => [3,-2,1,-4]
[4,1,-2,3] => [3,-1,-4,2]
[4,1,-2,-3] => [2,-1,-3,-4]
[4,-1,2,3] => [-4,2,-3,1]
[4,-1,2,-3] => [-2,3,-1,-4]
[4,-1,-2,3] => [-3,-4,1,-2]
[4,-1,-2,-3] => [-1,-2,-3,-4]
[-4,1,2,3] => [4,-3,1,2]
[-4,1,2,-3] => [3,-2,1,4]
[-4,1,-2,3] => [4,-1,-3,2]
[-4,1,-2,-3] => [2,-1,4,3]
[-4,-1,2,3] => [-3,4,-2,1]
[-4,-1,2,-3] => [-2,3,-1,4]
[-4,-1,-2,3] => [-2,-3,4,-1]
[-4,-1,-2,-3] => [4,3,2,1]
[4,1,3,2] => [3,-4,2,1]
[4,1,3,-2] => [3,-1,2,-4]
[4,1,-3,2] => [3,-2,-4,1]
[4,1,-3,-2] => [2,-1,-4,-3]
[4,-1,3,2] => [2,1,-4,-3]
[4,-1,3,-2] => [-3,1,-2,-4]
[4,-1,-3,2] => [-2,-4,3,-1]
[4,-1,-3,-2] => [-1,-2,-4,-3]
[-4,1,3,2] => [4,-3,2,1]
[-4,1,3,-2] => [4,-1,2,-3]
[-4,1,-3,2] => [3,-2,4,1]
[-4,1,-3,-2] => [2,-1,3,4]
[-4,-1,3,2] => [4,1,-3,-2]
[-4,-1,3,-2] => [-2,4,-1,-3]
[-4,-1,-3,2] => [-2,4,3,-1]
[-4,-1,-3,-2] => [4,3,1,2]
[4,2,1,3] => [1,3,-4,2]
[4,2,1,-3] => [1,3,-2,-4]
[4,2,-1,3] => [2,-3,-4,1]
[4,2,-1,-3] => [3,-1,-2,-4]
[4,-2,1,3] => [-4,3,-1,2]
[4,-2,1,-3] => [-3,2,-1,-4]
[4,-2,-1,3] => [-3,1,-4,-2]
[4,-2,-1,-3] => [-1,-3,-2,-4]
[-4,2,1,3] => [1,4,-3,2]
[-4,2,1,-3] => [1,3,-2,4]
[-4,2,-1,3] => [4,-2,-3,1]
[-4,2,-1,-3] => [3,-1,-2,4]
[-4,-2,1,3] => [-3,4,-1,2]
[-4,-2,1,-3] => [4,2,-1,3]
[-4,-2,-1,3] => [-2,4,-3,-1]
[-4,-2,-1,-3] => [4,2,3,1]
[4,2,3,1] => [2,3,1,-4]
[4,2,3,-1] => [2,-3,1,-4]
[4,2,-3,1] => [1,-4,3,-2]
[4,2,-3,-1] => [3,-1,-4,-2]
[4,-2,3,1] => [3,2,-4,-1]
[4,-2,3,-1] => [-4,1,-2,-3]
[4,-2,-3,1] => [-3,-4,2,-1]
[4,-2,-3,-1] => [-1,-3,-4,-2]
[-4,2,3,1] => [2,4,1,-3]
[-4,2,3,-1] => [4,-2,1,-3]
[-4,2,-3,1] => [1,4,3,-2]
[-4,2,-3,-1] => [3,-1,4,-2]
[-4,-2,3,1] => [4,2,-3,-1]
[-4,-2,3,-1] => [-3,4,-1,-2]
[-4,-2,-3,1] => [4,3,2,-1]
[-4,-2,-3,-1] => [4,2,1,3]
[4,3,1,2] => [2,3,-4,1]
[4,3,1,-2] => [2,3,-1,-4]
[4,3,-1,2] => [1,-4,2,-3]
[4,3,-1,-2] => [1,-2,-3,-4]
[4,-3,1,2] => [-4,3,-2,1]
[4,-3,1,-2] => [-4,2,-1,-3]
[4,-3,-1,2] => [-2,3,-4,-1]
[4,-3,-1,-2] => [-1,-4,-2,-3]
[-4,3,1,2] => [2,4,-3,1]
[-4,3,1,-2] => [2,4,-1,-3]
[-4,3,-1,2] => [1,-3,4,-2]
[-4,3,-1,-2] => [4,-1,-2,-3]
[-4,-3,1,2] => [4,3,-2,1]
[-4,-3,1,-2] => [3,2,-1,4]
[-4,-3,-1,2] => [-2,3,4,-1]
[-4,-3,-1,-2] => [4,1,3,2]
[4,3,2,1] => [1,2,3,-4]
[4,3,2,-1] => [1,2,-3,-4]
[4,3,-2,1] => [2,-4,3,-1]
[4,3,-2,-1] => [1,-2,-4,-3]
[4,-3,2,1] => [3,1,-4,-2]
[4,-3,2,-1] => [-4,3,-1,-2]
[4,-3,-2,1] => [-3,2,-4,-1]
[4,-3,-2,-1] => [-1,-4,-3,-2]
[-4,3,2,1] => [1,2,4,-3]
[-4,3,2,-1] => [1,4,-2,-3]
[-4,3,-2,1] => [2,-3,4,-1]
[-4,3,-2,-1] => [4,-1,-3,-2]
[-4,-3,2,1] => [3,1,4,-2]
[-4,-3,2,-1] => [4,3,-1,-2]
[-4,-3,-2,1] => [4,2,3,-1]
[-4,-3,-2,-1] => [4,1,2,3]
[1,2,3,4,5] => [-5,1,2,3,4]
[1,2,3,4,-5] => [-4,1,2,3,5]
[1,2,3,-4,5] => [-3,1,2,-5,4]
[1,2,3,-4,-5] => [-3,1,2,5,4]
[1,2,-3,4,5] => [-2,1,-5,3,4]
[1,2,-3,4,-5] => [-2,1,-4,3,5]
[1,2,-3,-4,5] => [-2,1,-4,-5,3]
[1,2,-3,-4,-5] => [-2,1,5,4,3]
[1,-2,3,4,5] => [-1,-5,2,3,4]
[1,-2,3,4,-5] => [-1,-4,2,3,5]
[1,-2,3,-4,5] => [-1,-3,2,-5,4]
[1,-2,3,-4,-5] => [-1,-3,2,5,4]
[1,-2,-3,4,5] => [-1,-4,-5,2,3]
[1,-2,-3,4,-5] => [-1,-3,-4,2,5]
[1,-2,-3,-4,5] => [-1,-3,-4,-5,2]
[1,-2,-3,-4,-5] => [-1,5,4,3,2]
[-1,2,3,4,5] => [-5,-4,1,2,3]
[-1,2,3,4,-5] => [-4,-3,1,2,5]
[-1,2,3,-4,5] => [-3,-2,1,-5,4]
[-1,2,3,-4,-5] => [-3,-2,1,5,4]
[-1,2,-3,4,5] => [-2,-1,-5,3,4]
[-1,2,-3,4,-5] => [-2,-1,-4,3,5]
[-1,2,-3,-4,5] => [-2,-1,-4,-5,3]
[-1,2,-3,-4,-5] => [-2,-1,5,4,3]
[-1,-2,3,4,5] => [-5,-4,-3,1,2]
[-1,-2,3,4,-5] => [-4,-3,-2,1,5]
[-1,-2,3,-4,5] => [-3,-2,-1,-5,4]
[-1,-2,3,-4,-5] => [-3,-2,-1,5,4]
[-1,-2,-3,4,5] => [-5,-4,-3,-2,1]
[-1,-2,-3,4,-5] => [-4,-3,-2,-1,5]
[-1,-2,-3,-4,5] => [-5,-4,-3,-2,-1]
[-1,-2,-3,-4,-5] => [1,2,3,4,5]
[1,2,3,5,4] => [-5,1,2,4,3]
[1,2,3,5,-4] => [-3,1,2,4,-5]
[1,2,3,-5,4] => [-4,1,2,5,3]
[1,2,3,-5,-4] => [-3,1,2,4,5]
[1,2,-3,5,4] => [-2,1,-5,4,3]
[1,2,-3,5,-4] => [-2,1,-4,3,-5]
[1,2,-3,-5,4] => [-2,1,-4,5,3]
[1,2,-3,-5,-4] => [-2,1,5,3,4]
[1,-2,3,5,4] => [-1,-5,2,4,3]
[1,-2,3,5,-4] => [-1,-3,2,4,-5]
[1,-2,3,-5,4] => [-1,-4,2,5,3]
[1,-2,3,-5,-4] => [-1,-3,2,4,5]
[1,-2,-3,5,4] => [-1,-4,-5,3,2]
[1,-2,-3,5,-4] => [-1,-3,-4,2,-5]
[1,-2,-3,-5,4] => [-1,-3,-4,5,2]
[1,-2,-3,-5,-4] => [-1,5,4,2,3]
[-1,2,3,5,4] => [-5,-4,1,3,2]
[-1,2,3,5,-4] => [-3,-2,1,4,-5]
[-1,2,3,-5,4] => [-4,-3,1,5,2]
[-1,2,3,-5,-4] => [-3,-2,1,4,5]
[-1,2,-3,5,4] => [-2,-1,-5,4,3]
[-1,2,-3,5,-4] => [-2,-1,-4,3,-5]
[-1,2,-3,-5,4] => [-2,-1,-4,5,3]
[-1,2,-3,-5,-4] => [-2,-1,5,3,4]
[-1,-2,3,5,4] => [-5,-4,-3,2,1]
[-1,-2,3,5,-4] => [-3,-2,-1,4,-5]
[-1,-2,3,-5,4] => [-4,-3,-2,5,1]
[-1,-2,3,-5,-4] => [-3,-2,-1,4,5]
[-1,-2,-3,5,4] => [1,-5,-4,-3,-2]
[-1,-2,-3,5,-4] => [-4,-3,-2,-1,-5]
[-1,-2,-3,-5,4] => [5,-4,-3,-2,-1]
[-1,-2,-3,-5,-4] => [2,3,4,5,1]
[1,2,4,3,5] => [-5,1,3,2,4]
[1,2,4,3,-5] => [-4,1,3,2,5]
[1,2,4,-3,5] => [-2,1,3,-5,4]
[1,2,4,-3,-5] => [-2,1,3,-4,5]
[1,2,-4,3,5] => [-3,1,-5,2,4]
[1,2,-4,3,-5] => [-3,1,5,2,4]
[1,2,-4,-3,5] => [-2,1,-5,-4,3]
[1,2,-4,-3,-5] => [-2,1,4,5,3]
[1,-2,4,3,5] => [-1,-5,3,2,4]
[1,-2,4,3,-5] => [-1,-4,3,2,5]
[1,-2,4,-3,5] => [-1,-4,2,-5,3]
[1,-2,4,-3,-5] => [-1,-3,2,-4,5]
[1,-2,-4,3,5] => [-1,-3,-5,2,4]
[1,-2,-4,3,-5] => [-1,-3,5,2,4]
[1,-2,-4,-3,5] => [-1,-3,-5,-4,2]
[1,-2,-4,-3,-5] => [-1,5,3,4,2]
[-1,2,4,3,5] => [-5,-4,2,1,3]
[-1,2,4,3,-5] => [-4,-3,2,1,5]
[-1,2,4,-3,5] => [-2,-1,3,-5,4]
[-1,2,4,-3,-5] => [-2,-1,3,-4,5]
[-1,2,-4,3,5] => [-3,-2,-5,1,4]
[-1,2,-4,3,-5] => [-3,-2,5,1,4]
[-1,2,-4,-3,5] => [-2,-1,-5,-4,3]
[-1,2,-4,-3,-5] => [-2,-1,4,5,3]
[-1,-2,4,3,5] => [1,-5,-4,-3,2]
[-1,-2,4,3,-5] => [1,-4,-3,-2,5]
[-1,-2,4,-3,5] => [-4,-3,-2,-5,1]
[-1,-2,4,-3,-5] => [-3,-2,-1,-4,5]
[-1,-2,-4,3,5] => [-5,-3,-2,-1,4]
[-1,-2,-4,3,-5] => [5,-3,-2,-1,4]
[-1,-2,-4,-3,5] => [-4,-3,-2,-5,-1]
[-1,-2,-4,-3,-5] => [2,3,4,1,5]
[1,2,4,5,3] => [-5,1,3,4,2]
[1,2,4,5,-3] => [-2,1,3,4,-5]
[1,2,4,-5,3] => [-4,1,3,5,2]
[1,2,4,-5,-3] => [-2,1,3,5,-4]
[1,2,-4,5,3] => [-3,1,-5,4,2]
[1,2,-4,5,-3] => [-2,1,-5,3,-4]
[1,2,-4,-5,3] => [-3,1,5,4,2]
[1,2,-4,-5,-3] => [-2,1,4,3,5]
[1,-2,4,5,3] => [-1,-5,3,4,2]
[1,-2,4,5,-3] => [-1,-4,2,3,-5]
[1,-2,4,-5,3] => [-1,-4,3,5,2]
[1,-2,4,-5,-3] => [-1,-3,2,5,-4]
[1,-2,-4,5,3] => [-1,-3,-5,4,2]
[1,-2,-4,5,-3] => [-1,-3,-5,2,-4]
[1,-2,-4,-5,3] => [-1,-3,5,4,2]
[1,-2,-4,-5,-3] => [-1,5,3,2,4]
[-1,2,4,5,3] => [-5,-4,2,3,1]
[-1,2,4,5,-3] => [-2,-1,3,4,-5]
[-1,2,4,-5,3] => [-4,-3,2,5,1]
[-1,2,4,-5,-3] => [-2,-1,3,5,-4]
[-1,2,-4,5,3] => [-3,-2,-5,4,1]
[-1,2,-4,5,-3] => [-2,-1,-5,3,-4]
[-1,2,-4,-5,3] => [-3,-2,5,4,1]
[-1,2,-4,-5,-3] => [-2,-1,4,3,5]
[-1,-2,4,5,3] => [2,-5,-4,1,-3]
[-1,-2,4,5,-3] => [-4,-3,-2,1,-5]
[-1,-2,4,-5,3] => [5,-4,-3,1,-2]
[-1,-2,4,-5,-3] => [-3,-2,-1,5,-4]
[-1,-2,-4,5,3] => [4,-5,-3,-2,-1]
[-1,-2,-4,5,-3] => [-5,-3,-2,-1,-4]
[-1,-2,-4,-5,3] => [4,5,-3,-2,-1]
[-1,-2,-4,-5,-3] => [1,3,4,5,2]
[1,2,5,3,4] => [-5,1,4,2,3]
[1,2,5,3,-4] => [-3,1,4,2,-5]
[1,2,5,-3,4] => [-2,1,4,-5,3]
[1,2,5,-3,-4] => [-2,1,3,-4,-5]
[1,2,-5,3,4] => [-4,1,5,2,3]
[1,2,-5,3,-4] => [-3,1,4,2,5]
[1,2,-5,-3,4] => [-2,1,5,-4,3]
[1,2,-5,-3,-4] => [-2,1,3,5,4]
[1,-2,5,3,4] => [-1,-5,4,2,3]
[1,-2,5,3,-4] => [-1,-3,4,2,-5]
[1,-2,5,-3,4] => [-1,-4,3,-5,2]
[1,-2,5,-3,-4] => [-1,-3,2,-4,-5]
[1,-2,-5,3,4] => [-1,-4,5,2,3]
[1,-2,-5,3,-4] => [-1,-3,4,2,5]
[1,-2,-5,-3,4] => [-1,-3,5,-4,2]
[1,-2,-5,-3,-4] => [-1,5,2,4,3]
[-1,2,5,3,4] => [-5,-4,3,1,2]
[-1,2,5,3,-4] => [-3,-2,4,1,-5]
[-1,2,5,-3,4] => [-2,-1,4,-5,3]
[-1,2,5,-3,-4] => [-2,-1,3,-4,-5]
[-1,2,-5,3,4] => [-4,-3,5,1,2]
[-1,2,-5,3,-4] => [-3,-2,4,1,5]
[-1,2,-5,-3,4] => [-2,-1,5,-4,3]
[-1,2,-5,-3,-4] => [-2,-1,3,5,4]
[-1,-2,5,3,4] => [2,-5,-4,-3,1]
[-1,-2,5,3,-4] => [4,-3,-2,-1,-5]
[-1,-2,5,-3,4] => [-5,-4,-3,1,-2]
[-1,-2,5,-3,-4] => [-3,-2,-1,-4,-5]
[-1,-2,-5,3,4] => [5,-4,-3,-2,1]
[-1,-2,-5,3,-4] => [4,-3,-2,-1,5]
[-1,-2,-5,-3,4] => [-4,-3,-2,5,-1]
[-1,-2,-5,-3,-4] => [3,4,5,2,1]
[1,2,5,4,3] => [-5,1,4,3,2]
[1,2,5,4,-3] => [-2,1,4,3,-5]
[1,2,5,-4,3] => [-3,1,4,-5,2]
[1,2,5,-4,-3] => [-2,1,3,-5,-4]
[1,2,-5,4,3] => [-4,1,5,3,2]
[1,2,-5,4,-3] => [-2,1,5,3,-4]
[1,2,-5,-4,3] => [-3,1,4,5,2]
[1,2,-5,-4,-3] => [-2,1,3,4,5]
[1,-2,5,4,3] => [-1,-5,4,3,2]
[1,-2,5,4,-3] => [-1,-4,3,2,-5]
[1,-2,5,-4,3] => [-1,-3,4,-5,2]
[1,-2,5,-4,-3] => [-1,-3,2,-5,-4]
[1,-2,-5,4,3] => [-1,-4,5,3,2]
[1,-2,-5,4,-3] => [-1,-3,5,2,-4]
[1,-2,-5,-4,3] => [-1,-3,4,5,2]
[1,-2,-5,-4,-3] => [-1,5,2,3,4]
[-1,2,5,4,3] => [-5,-4,3,2,1]
[-1,2,5,4,-3] => [-2,-1,4,3,-5]
[-1,2,5,-4,3] => [-3,-2,4,-5,1]
[-1,2,5,-4,-3] => [-2,-1,3,-5,-4]
[-1,2,-5,4,3] => [-4,-3,5,2,1]
[-1,2,-5,4,-3] => [-2,-1,5,3,-4]
[-1,2,-5,-4,3] => [-3,-2,4,5,1]
[-1,2,-5,-4,-3] => [-2,-1,3,4,5]
[-1,-2,5,4,3] => [1,2,-5,-4,-3]
[-1,-2,5,4,-3] => [1,-4,-3,-2,-5]
[-1,-2,5,-4,3] => [-5,-3,-2,4,-1]
[-1,-2,5,-4,-3] => [-3,-2,-1,-5,-4]
[-1,-2,-5,4,3] => [1,5,-4,-3,-2]
[-1,-2,-5,4,-3] => [5,-3,-2,-1,-4]
[-1,-2,-5,-4,3] => [5,-3,-2,4,-1]
[-1,-2,-5,-4,-3] => [3,4,5,1,2]
[1,3,2,4,5] => [-5,2,1,3,4]
[1,3,2,4,-5] => [-4,2,1,3,5]
[1,3,2,-4,5] => [-3,2,1,-5,4]
[1,3,2,-4,-5] => [-3,2,1,5,4]
[1,3,-2,4,5] => [-1,2,-5,3,4]
[1,3,-2,4,-5] => [-1,2,-4,3,5]
[1,3,-2,-4,5] => [-1,2,-3,-5,4]
[1,3,-2,-4,-5] => [-1,2,-3,5,4]
[1,-3,2,4,5] => [-2,-5,1,3,4]
[1,-3,2,4,-5] => [-2,-4,1,3,5]
[1,-3,2,-4,5] => [-2,-4,1,-5,3]
[1,-3,2,-4,-5] => [-2,5,1,4,3]
[1,-3,-2,4,5] => [-1,-5,-4,2,3]
[1,-3,-2,4,-5] => [-1,-4,-3,2,5]
[1,-3,-2,-4,5] => [-1,-4,-3,-5,2]
[1,-3,-2,-4,-5] => [-1,4,5,3,2]
[-1,3,2,4,5] => [1,-5,-4,2,3]
[-1,3,2,4,-5] => [1,-4,-3,2,5]
[-1,3,2,-4,5] => [1,-3,-2,-5,4]
[-1,3,2,-4,-5] => [1,-3,-2,5,4]
[-1,3,-2,4,5] => [-4,-3,-5,1,2]
[-1,3,-2,4,-5] => [-3,-2,-4,1,5]
[-1,3,-2,-4,5] => [-2,-1,-3,-5,4]
[-1,3,-2,-4,-5] => [-2,-1,-3,5,4]
[-1,-3,2,4,5] => [-5,-2,-1,3,4]
[-1,-3,2,4,-5] => [-4,-2,-1,3,5]
[-1,-3,2,-4,5] => [-4,-2,-1,-5,3]
[-1,-3,2,-4,-5] => [5,-2,-1,4,3]
[-1,-3,-2,4,5] => [-4,-3,-5,-2,1]
[-1,-3,-2,4,-5] => [-3,-2,-4,-1,5]
[-1,-3,-2,-4,5] => [-4,-3,-5,-2,-1]
[-1,-3,-2,-4,-5] => [2,3,1,4,5]
[1,3,2,5,4] => [-5,2,1,4,3]
[1,3,2,5,-4] => [-3,2,1,4,-5]
[1,3,2,-5,4] => [-4,2,1,5,3]
[1,3,2,-5,-4] => [-3,2,1,4,5]
[1,3,-2,5,4] => [-1,2,-5,4,3]
[1,3,-2,5,-4] => [-1,2,-3,4,-5]
[1,3,-2,-5,4] => [-1,2,-4,5,3]
[1,3,-2,-5,-4] => [-1,2,-3,4,5]
[1,-3,2,5,4] => [-2,-5,1,4,3]
[1,-3,2,5,-4] => [-2,-4,1,3,-5]
[1,-3,2,-5,4] => [-2,-4,1,5,3]
[1,-3,2,-5,-4] => [-2,5,1,3,4]
[1,-3,-2,5,4] => [-1,-5,-4,3,2]
[1,-3,-2,5,-4] => [-1,-4,-3,2,-5]
[1,-3,-2,-5,4] => [-1,-4,-3,5,2]
[1,-3,-2,-5,-4] => [-1,4,5,2,3]
[-1,3,2,5,4] => [1,-5,-4,3,2]
[-1,3,2,5,-4] => [1,-3,-2,4,-5]
[-1,3,2,-5,4] => [1,-4,-3,5,2]
[-1,3,2,-5,-4] => [1,-3,-2,4,5]
[-1,3,-2,5,4] => [-4,-3,-5,2,1]
[-1,3,-2,5,-4] => [-2,-1,-3,4,-5]
[-1,3,-2,-5,4] => [-3,-2,-4,5,1]
[-1,3,-2,-5,-4] => [-2,-1,-3,4,5]
[-1,-3,2,5,4] => [-5,-2,-1,4,3]
[-1,-3,2,5,-4] => [-4,-2,-1,3,-5]
[-1,-3,2,-5,4] => [-4,-2,-1,5,3]
[-1,-3,2,-5,-4] => [5,-2,-1,3,4]
[-1,-3,-2,5,4] => [-5,-4,1,-3,-2]
[-1,-3,-2,5,-4] => [-3,-2,-4,-1,-5]
[-1,-3,-2,-5,4] => [-4,-3,5,-2,-1]
[-1,-3,-2,-5,-4] => [3,4,2,5,1]
[1,3,4,2,5] => [-5,2,3,1,4]
[1,3,4,2,-5] => [-4,2,3,1,5]
[1,3,4,-2,5] => [-1,2,3,-5,4]
[1,3,4,-2,-5] => [-1,2,3,-4,5]
[1,3,-4,2,5] => [-3,2,-5,1,4]
[1,3,-4,2,-5] => [-3,2,5,1,4]
[1,3,-4,-2,5] => [-1,2,-5,-3,4]
[1,3,-4,-2,-5] => [-1,2,5,-3,4]
[1,-3,4,2,5] => [-2,-5,3,1,4]
[1,-3,4,2,-5] => [-2,-4,3,1,5]
[1,-3,4,-2,5] => [-1,-5,2,-4,3]
[1,-3,4,-2,-5] => [-1,-4,2,-3,5]
[1,-3,-4,2,5] => [-2,-4,-5,1,3]
[1,-3,-4,2,-5] => [-2,5,4,1,3]
[1,-3,-4,-2,5] => [-1,-4,-5,-3,2]
[1,-3,-4,-2,-5] => [-1,4,3,5,2]
[-1,3,4,2,5] => [2,-5,1,-4,3]
[-1,3,4,2,-5] => [2,-4,1,-3,5]
[-1,3,4,-2,5] => [-4,-3,1,-5,2]
[-1,3,4,-2,-5] => [-3,-2,1,-4,5]
[-1,3,-4,2,5] => [-5,-3,1,-2,4]
[-1,3,-4,2,-5] => [5,-3,1,-2,4]
[-1,3,-4,-2,5] => [-2,-1,-5,-3,4]
[-1,3,-4,-2,-5] => [-2,-1,5,-3,4]
[-1,-3,4,2,5] => [3,-5,-2,-1,4]
[-1,-3,4,2,-5] => [3,-4,-2,-1,5]
[-1,-3,4,-2,5] => [-5,-3,-2,-4,1]
[-1,-3,4,-2,-5] => [-4,-2,-1,-3,5]
[-1,-3,-4,2,5] => [-5,-4,-2,-1,3]
[-1,-3,-4,2,-5] => [4,5,-2,-1,3]
[-1,-3,-4,-2,5] => [-5,-3,-2,-4,-1]
[-1,-3,-4,-2,-5] => [1,3,4,2,5]
[1,3,4,5,2] => [-5,2,3,4,1]
[1,3,4,5,-2] => [-1,2,3,4,-5]
[1,3,4,-5,2] => [-4,2,3,5,1]
[1,3,4,-5,-2] => [-1,2,3,5,-4]
[1,3,-4,5,2] => [-3,2,-5,4,1]
[1,3,-4,5,-2] => [-1,2,-5,4,-3]
[1,3,-4,-5,2] => [-3,2,5,4,1]
[1,3,-4,-5,-2] => [-1,2,5,4,-3]
[1,-3,4,5,2] => [-2,-5,3,4,1]
[1,-3,4,5,-2] => [-1,-5,2,3,-4]
[1,-3,4,-5,2] => [-2,-4,3,5,1]
[1,-3,4,-5,-2] => [-1,-4,2,5,-3]
[1,-3,-4,5,2] => [-2,-4,-5,3,1]
[1,-3,-4,5,-2] => [-1,-4,-5,2,-3]
[1,-3,-4,-5,2] => [-2,5,4,3,1]
[1,-3,-4,-5,-2] => [-1,4,3,2,5]
[-1,3,4,5,2] => [3,-5,1,2,-4]
[-1,3,4,5,-2] => [-4,-3,1,2,-5]
[-1,3,4,-5,2] => [5,-4,1,2,-3]
[-1,3,4,-5,-2] => [-3,-2,1,5,-4]
[-1,3,-4,5,2] => [-5,-3,4,1,-2]
[-1,3,-4,5,-2] => [-2,-1,-5,4,-3]
[-1,3,-4,-5,2] => [5,-3,4,1,-2]
[-1,3,-4,-5,-2] => [-2,-1,5,4,-3]
[-1,-3,4,5,2] => [4,-5,-2,3,-1]
[-1,-3,4,5,-2] => [-5,-3,-2,1,-4]
[-1,-3,4,-5,2] => [5,-4,-2,3,-1]
[-1,-3,4,-5,-2] => [-4,-2,-1,5,-3]
[-1,-3,-4,5,2] => [3,-5,-4,-2,-1]
[-1,-3,-4,5,-2] => [-5,-4,-2,-1,-3]
[-1,-3,-4,-5,2] => [3,4,5,-2,-1]
[-1,-3,-4,-5,-2] => [1,2,4,5,3]
[1,3,5,2,4] => [-5,2,4,1,3]
[1,3,5,2,-4] => [-3,2,4,1,-5]
[1,3,5,-2,4] => [-1,2,4,-5,3]
[1,3,5,-2,-4] => [-1,2,4,-3,-5]
[1,3,-5,2,4] => [-4,2,5,1,3]
[1,3,-5,2,-4] => [-3,2,4,1,5]
[1,3,-5,-2,4] => [-1,2,5,-4,3]
[1,3,-5,-2,-4] => [-1,2,4,-3,5]
[1,-3,5,2,4] => [-2,-5,4,1,3]
[1,-3,5,2,-4] => [-2,-4,3,1,-5]
[1,-3,5,-2,4] => [-1,-5,3,-4,2]
[1,-3,5,-2,-4] => [-1,-4,2,-3,-5]
[1,-3,-5,2,4] => [-2,-4,5,1,3]
[1,-3,-5,2,-4] => [-2,5,3,1,4]
[1,-3,-5,-2,4] => [-1,-4,5,-3,2]
[1,-3,-5,-2,-4] => [-1,4,2,5,3]
[-1,3,5,2,4] => [3,-5,1,-4,2]
[-1,3,5,2,-4] => [4,-3,1,-2,-5]
[-1,3,5,-2,4] => [-4,-3,2,-5,1]
[-1,3,5,-2,-4] => [-2,-1,4,-3,-5]
[-1,3,-5,2,4] => [5,-4,1,-3,2]
[-1,3,-5,2,-4] => [4,-3,1,-2,5]
[-1,3,-5,-2,4] => [-3,-2,5,-4,1]
[-1,3,-5,-2,-4] => [-2,-1,4,-3,5]
[-1,-3,5,2,4] => [4,-5,-2,-1,3]
[-1,-3,5,2,-4] => [3,-4,-2,-1,-5]
[-1,-3,5,-2,4] => [1,-4,-3,-5,-2]
[-1,-3,5,-2,-4] => [-4,-2,-1,-3,-5]
[-1,-3,-5,2,4] => [5,-4,-2,-1,3]
[-1,-3,-5,2,-4] => [3,5,-2,-1,4]
[-1,-3,-5,-2,4] => [5,-3,-2,-4,-1]
[-1,-3,-5,-2,-4] => [2,4,5,3,1]
[1,3,5,4,2] => [-5,2,4,3,1]
[1,3,5,4,-2] => [-1,2,4,3,-5]
[1,3,5,-4,2] => [-3,2,4,-5,1]
[1,3,5,-4,-2] => [-1,2,4,-5,-3]
[1,3,-5,4,2] => [-4,2,5,3,1]
[1,3,-5,4,-2] => [-1,2,5,3,-4]
[1,3,-5,-4,2] => [-3,2,4,5,1]
[1,3,-5,-4,-2] => [-1,2,4,5,-3]
[1,-3,5,4,2] => [-2,-5,4,3,1]
[1,-3,5,4,-2] => [-1,-5,3,2,-4]
[1,-3,5,-4,2] => [-2,-4,3,-5,1]
[1,-3,5,-4,-2] => [-1,-4,2,-5,-3]
[1,-3,-5,4,2] => [-2,-4,5,3,1]
[1,-3,-5,4,-2] => [-1,-4,5,2,-3]
[1,-3,-5,-4,2] => [-2,5,3,4,1]
[1,-3,-5,-4,-2] => [-1,4,2,3,5]
[-1,3,5,4,2] => [3,-5,2,1,-4]
[-1,3,5,4,-2] => [-4,-3,2,1,-5]
[-1,3,5,-4,2] => [-5,-3,1,4,-2]
[-1,3,5,-4,-2] => [-2,-1,4,-5,-3]
[-1,3,-5,4,2] => [5,-4,2,1,-3]
[-1,3,-5,4,-2] => [-3,-2,5,1,-4]
[-1,3,-5,-4,2] => [5,-3,1,4,-2]
[-1,3,-5,-4,-2] => [-2,-1,4,5,-3]
[-1,-3,5,4,2] => [3,4,-5,-2,-1]
[-1,-3,5,4,-2] => [1,-5,-3,-2,-4]
[-1,-3,5,-4,2] => [-5,-4,-2,3,-1]
[-1,-3,5,-4,-2] => [-4,-2,-1,-5,-3]
[-1,-3,-5,4,2] => [3,5,-4,-2,-1]
[-1,-3,-5,4,-2] => [5,-4,-2,-1,-3]
[-1,-3,-5,-4,2] => [4,5,-2,3,-1]
[-1,-3,-5,-4,-2] => [2,4,5,1,3]
[1,4,2,3,5] => [-5,3,1,2,4]
[1,4,2,3,-5] => [-4,3,1,2,5]
[1,4,2,-3,5] => [-2,3,1,-5,4]
[1,4,2,-3,-5] => [-2,3,1,-4,5]
[1,4,-2,3,5] => [-1,3,-5,2,4]
[1,4,-2,3,-5] => [-1,3,-4,2,5]
[1,4,-2,-3,5] => [-1,2,-4,-5,3]
[1,4,-2,-3,-5] => [-1,2,-3,-4,5]
[1,-4,2,3,5] => [-3,-5,1,2,4]
[1,-4,2,3,-5] => [-3,5,1,2,4]
[1,-4,2,-3,5] => [-2,-5,1,-4,3]
[1,-4,2,-3,-5] => [-2,4,1,5,3]
[1,-4,-2,3,5] => [-1,-5,-3,2,4]
[1,-4,-2,3,-5] => [-1,5,-3,2,4]
[1,-4,-2,-3,5] => [-1,-5,-3,-4,2]
[1,-4,-2,-3,-5] => [-1,3,5,4,2]
[-1,4,2,3,5] => [2,-5,-4,1,3]
[-1,4,2,3,-5] => [2,-4,-3,1,5]
[-1,4,2,-3,5] => [3,-2,-1,-5,4]
[-1,4,2,-3,-5] => [3,-2,-1,-4,5]
[-1,4,-2,3,5] => [-5,-4,1,-3,2]
[-1,4,-2,3,-5] => [-4,-3,1,-2,5]
[-1,4,-2,-3,5] => [-3,-2,-4,-5,1]
[-1,4,-2,-3,-5] => [-2,-1,-3,-4,5]
[-1,-4,2,3,5] => [-5,-3,-2,1,4]
[-1,-4,2,3,-5] => [5,-3,-2,1,4]
[-1,-4,2,-3,5] => [-5,-2,-1,-4,3]
[-1,-4,2,-3,-5] => [4,-2,-1,5,3]
[-1,-4,-2,3,5] => [-3,-2,-5,-1,4]
[-1,-4,-2,3,-5] => [-3,-2,5,-1,4]
[-1,-4,-2,-3,5] => [-3,-2,-4,-5,-1]
[-1,-4,-2,-3,-5] => [3,4,2,1,5]
[1,4,2,5,3] => [-5,3,1,4,2]
[1,4,2,5,-3] => [-2,3,1,4,-5]
[1,4,2,-5,3] => [-4,3,1,5,2]
[1,4,2,-5,-3] => [-2,3,1,5,-4]
[1,4,-2,5,3] => [-1,3,-5,4,2]
[1,4,-2,5,-3] => [-1,2,-4,3,-5]
[1,4,-2,-5,3] => [-1,3,-4,5,2]
[1,4,-2,-5,-3] => [-1,2,-3,5,-4]
[1,-4,2,5,3] => [-3,-5,1,4,2]
[1,-4,2,5,-3] => [-2,-5,1,3,-4]
[1,-4,2,-5,3] => [-3,5,1,4,2]
[1,-4,2,-5,-3] => [-2,4,1,3,5]
[1,-4,-2,5,3] => [-1,-5,-3,4,2]
[1,-4,-2,5,-3] => [-1,-5,-3,2,-4]
[1,-4,-2,-5,3] => [-1,5,-3,4,2]
[1,-4,-2,-5,-3] => [-1,3,5,2,4]
[-1,4,2,5,3] => [2,-5,-4,3,1]
[-1,4,2,5,-3] => [3,-2,-1,4,-5]
[-1,4,2,-5,3] => [2,-4,-3,5,1]
[-1,4,2,-5,-3] => [3,-2,-1,5,-4]
[-1,4,-2,5,3] => [-5,-4,2,1,-3]
[-1,4,-2,5,-3] => [-3,-2,-4,1,-5]
[-1,4,-2,-5,3] => [-4,-3,5,1,-2]
[-1,4,-2,-5,-3] => [-2,-1,-3,5,-4]
[-1,-4,2,5,3] => [-5,-3,-2,4,1]
[-1,-4,2,5,-3] => [-5,-2,-1,3,-4]
[-1,-4,2,-5,3] => [5,-3,-2,4,1]
[-1,-4,2,-5,-3] => [4,-2,-1,3,5]
[-1,-4,-2,5,3] => [-5,-3,4,-2,-1]
[-1,-4,-2,5,-3] => [-3,-2,-5,-1,-4]
[-1,-4,-2,-5,3] => [5,-3,4,-2,-1]
[-1,-4,-2,-5,-3] => [3,4,1,5,2]
[1,4,3,2,5] => [-5,3,2,1,4]
[1,4,3,2,-5] => [-4,3,2,1,5]
[1,4,3,-2,5] => [-1,3,2,-5,4]
[1,4,3,-2,-5] => [-1,3,2,-4,5]
[1,4,-3,2,5] => [-2,3,-5,1,4]
[1,4,-3,2,-5] => [-2,3,-4,1,5]
[1,4,-3,-2,5] => [-1,2,-5,-4,3]
[1,4,-3,-2,-5] => [-1,2,-4,-3,5]
[1,-4,3,2,5] => [-3,-5,2,1,4]
[1,-4,3,2,-5] => [-3,5,2,1,4]
[1,-4,3,-2,5] => [-1,-5,2,-3,4]
[1,-4,3,-2,-5] => [-1,5,2,-3,4]
[1,-4,-3,2,5] => [-2,-5,-4,1,3]
[1,-4,-3,2,-5] => [-2,4,5,1,3]
[1,-4,-3,-2,5] => [-1,-5,-4,-3,2]
[1,-4,-3,-2,-5] => [-1,3,4,5,2]
[-1,4,3,2,5] => [1,2,-5,-4,3]
[-1,4,3,2,-5] => [1,2,-4,-3,5]
[-1,4,3,-2,5] => [1,-4,-3,-5,2]
[-1,4,3,-2,-5] => [1,-3,-2,-4,5]
[-1,4,-3,2,5] => [-5,-2,3,-1,4]
[-1,4,-3,2,-5] => [-4,-2,3,-1,5]
[-1,4,-3,-2,5] => [-3,-2,-5,-4,1]
[-1,4,-3,-2,-5] => [-2,-1,-4,-3,5]
[-1,-4,3,2,5] => [1,-5,-3,-2,4]
[-1,-4,3,2,-5] => [1,5,-3,-2,4]
[-1,-4,3,-2,5] => [-5,-2,-1,-3,4]
[-1,-4,3,-2,-5] => [5,-2,-1,-3,4]
[-1,-4,-3,2,5] => [-4,-2,-5,-1,3]
[-1,-4,-3,2,-5] => [5,-2,4,-1,3]
[-1,-4,-3,-2,5] => [-3,-2,-5,-4,-1]
[-1,-4,-3,-2,-5] => [3,4,1,2,5]
[1,4,3,5,2] => [-5,3,2,4,1]
[1,4,3,5,-2] => [-1,3,2,4,-5]
[1,4,3,-5,2] => [-4,3,2,5,1]
[1,4,3,-5,-2] => [-1,3,2,5,-4]
[1,4,-3,5,2] => [-2,3,-5,4,1]
[1,4,-3,5,-2] => [-1,2,-5,3,-4]
[1,4,-3,-5,2] => [-2,3,-4,5,1]
[1,4,-3,-5,-2] => [-1,2,-4,5,-3]
[1,-4,3,5,2] => [-3,-5,2,4,1]
[1,-4,3,5,-2] => [-1,-5,2,4,-3]
[1,-4,3,-5,2] => [-3,5,2,4,1]
[1,-4,3,-5,-2] => [-1,5,2,4,-3]
[1,-4,-3,5,2] => [-2,-5,-4,3,1]
[1,-4,-3,5,-2] => [-1,-5,-4,2,-3]
[1,-4,-3,-5,2] => [-2,4,5,3,1]
[1,-4,-3,-5,-2] => [-1,3,4,2,5]
[-1,4,3,5,2] => [1,3,-5,2,-4]
[-1,4,3,5,-2] => [1,-4,-3,2,-5]
[-1,4,3,-5,2] => [1,5,-4,2,-3]
[-1,4,3,-5,-2] => [1,-3,-2,5,-4]
[-1,4,-3,5,2] => [-5,-2,4,3,-1]
[-1,4,-3,5,-2] => [-3,-2,-5,1,-4]
[-1,4,-3,-5,2] => [-4,-2,5,3,-1]
[-1,4,-3,-5,-2] => [-2,-1,-4,5,-3]
[-1,-4,3,5,2] => [4,-5,-3,1,-2]
[-1,-4,3,5,-2] => [-5,-2,-1,4,-3]
[-1,-4,3,-5,2] => [4,5,-3,1,-2]
[-1,-4,3,-5,-2] => [5,-2,-1,4,-3]
[-1,-4,-3,5,2] => [-5,-4,3,-2,-1]
[-1,-4,-3,5,-2] => [-4,-2,-5,-1,-3]
[-1,-4,-3,-5,2] => [4,5,3,-2,-1]
[-1,-4,-3,-5,-2] => [2,4,1,5,3]
[1,4,5,2,3] => [-5,3,4,1,2]
[1,4,5,2,-3] => [-2,3,4,1,-5]
[1,4,5,-2,3] => [-1,3,4,-5,2]
[1,4,5,-2,-3] => [-1,2,3,-4,-5]
[1,4,-5,2,3] => [-4,3,5,1,2]
[1,4,-5,2,-3] => [-2,3,5,1,-4]
[1,4,-5,-2,3] => [-1,3,5,-4,2]
[1,4,-5,-2,-3] => [-1,2,5,-3,-4]
[1,-4,5,2,3] => [-3,-5,4,1,2]
[1,-4,5,2,-3] => [-2,-5,3,1,-4]
[1,-4,5,-2,3] => [-1,-5,4,-3,2]
[1,-4,5,-2,-3] => [-1,-5,2,-3,-4]
[1,-4,-5,2,3] => [-3,5,4,1,2]
[1,-4,-5,2,-3] => [-2,4,3,1,5]
[1,-4,-5,-2,3] => [-1,5,4,-3,2]
[1,-4,-5,-2,-3] => [-1,3,2,5,4]
[-1,4,5,2,3] => [3,-5,2,-4,1]
[-1,4,5,2,-3] => [4,-2,3,-1,-5]
[-1,4,5,-2,3] => [-5,-4,1,2,-3]
[-1,4,5,-2,-3] => [-3,-2,1,-4,-5]
[-1,4,-5,2,3] => [5,-4,2,-3,1]
[-1,4,-5,2,-3] => [5,-2,3,-1,-4]
[-1,4,-5,-2,3] => [-4,-3,1,5,-2]
[-1,4,-5,-2,-3] => [-2,-1,5,-3,-4]
[-1,-4,5,2,3] => [4,-5,-3,-2,1]
[-1,-4,5,2,-3] => [3,-5,-2,-1,-4]
[-1,-4,5,-2,3] => [4,-3,-2,-5,-1]
[-1,-4,5,-2,-3] => [-5,-2,-1,-3,-4]
[-1,-4,-5,2,3] => [4,5,-3,-2,1]
[-1,-4,-5,2,-3] => [3,4,-2,-1,5]
[-1,-4,-5,-2,3] => [4,-3,-2,5,-1]
[-1,-4,-5,-2,-3] => [1,4,5,3,2]
[1,4,5,3,2] => [-5,3,4,2,1]
[1,4,5,3,-2] => [-1,3,4,2,-5]
[1,4,5,-3,2] => [-2,3,4,-5,1]
[1,4,5,-3,-2] => [-1,2,3,-5,-4]
[1,4,-5,3,2] => [-4,3,5,2,1]
[1,4,-5,3,-2] => [-1,3,5,2,-4]
[1,4,-5,-3,2] => [-2,3,5,-4,1]
[1,4,-5,-3,-2] => [-1,2,5,-4,-3]
[1,-4,5,3,2] => [-3,-5,4,2,1]
[1,-4,5,3,-2] => [-1,-5,4,2,-3]
[1,-4,5,-3,2] => [-2,-5,3,-4,1]
[1,-4,5,-3,-2] => [-1,-5,2,-4,-3]
[1,-4,-5,3,2] => [-3,5,4,2,1]
[1,-4,-5,3,-2] => [-1,5,4,2,-3]
[1,-4,-5,-3,2] => [-2,4,3,5,1]
[1,-4,-5,-3,-2] => [-1,3,2,4,5]
[-1,4,5,3,2] => [2,3,1,-5,-4]
[-1,4,5,3,-2] => [2,-4,1,-3,-5]
[-1,4,5,-3,2] => [-5,-2,3,4,-1]
[-1,4,5,-3,-2] => [-3,-2,1,-5,-4]
[-1,4,-5,3,2] => [2,5,1,-4,-3]
[-1,4,-5,3,-2] => [5,-3,1,-2,-4]
[-1,4,-5,-3,2] => [-4,-2,3,5,-1]
[-1,4,-5,-3,-2] => [-2,-1,5,-4,-3]
[-1,-4,5,3,2] => [1,4,-5,-3,-2]
[-1,-4,5,3,-2] => [4,-5,-2,-1,-3]
[-1,-4,5,-3,2] => [3,-4,-2,-5,-1]
[-1,-4,5,-3,-2] => [-5,-2,-1,-4,-3]
[-1,-4,-5,3,2] => [1,4,5,-3,-2]
[-1,-4,-5,3,-2] => [4,5,-2,-1,-3]
[-1,-4,-5,-3,2] => [3,5,-2,4,-1]
[-1,-4,-5,-3,-2] => [1,4,5,2,3]
[1,5,2,3,4] => [-5,4,1,2,3]
[1,5,2,3,-4] => [-3,4,1,2,-5]
[1,5,2,-3,4] => [-2,4,1,-5,3]
[1,5,2,-3,-4] => [-2,3,1,-4,-5]
[1,5,-2,3,4] => [-1,4,-5,2,3]
[1,5,-2,3,-4] => [-1,4,-3,2,-5]
[1,5,-2,-3,4] => [-1,3,-4,-5,2]
[1,5,-2,-3,-4] => [-1,2,-3,-4,-5]
[1,-5,2,3,4] => [-4,5,1,2,3]
[1,-5,2,3,-4] => [-3,4,1,2,5]
[1,-5,2,-3,4] => [-2,5,1,-4,3]
[1,-5,2,-3,-4] => [-2,3,1,5,4]
[1,-5,-2,3,4] => [-1,5,-4,2,3]
[1,-5,-2,3,-4] => [-1,4,-3,2,5]
[1,-5,-2,-3,4] => [-1,5,-3,-4,2]
[1,-5,-2,-3,-4] => [-1,2,5,4,3]
[-1,5,2,3,4] => [3,-5,-4,1,2]
[-1,5,2,3,-4] => [4,-3,-2,1,-5]
[-1,5,2,-3,4] => [4,-2,-1,-5,3]
[-1,5,2,-3,-4] => [3,-2,-1,-4,-5]
[-1,5,-2,3,4] => [-5,-4,2,-3,1]
[-1,5,-2,3,-4] => [-3,-2,4,-1,-5]
[-1,5,-2,-3,4] => [-4,-3,-5,1,-2]
[-1,5,-2,-3,-4] => [-2,-1,-3,-4,-5]
[-1,-5,2,3,4] => [5,-4,-3,1,2]
[-1,-5,2,3,-4] => [4,-3,-2,1,5]
[-1,-5,2,-3,4] => [5,-2,-1,-4,3]
[-1,-5,2,-3,-4] => [3,-2,-1,5,4]
[-1,-5,-2,3,4] => [-4,-3,5,-2,1]
[-1,-5,-2,3,-4] => [-3,-2,4,-1,5]
[-1,-5,-2,-3,4] => [-3,-2,-4,5,-1]
[-1,-5,-2,-3,-4] => [4,5,3,2,1]
[1,5,2,4,3] => [-5,4,1,3,2]
[1,5,2,4,-3] => [-2,4,1,3,-5]
[1,5,2,-4,3] => [-3,4,1,-5,2]
[1,5,2,-4,-3] => [-2,3,1,-5,-4]
[1,5,-2,4,3] => [-1,4,-5,3,2]
[1,5,-2,4,-3] => [-1,3,-4,2,-5]
[1,5,-2,-4,3] => [-1,4,-3,-5,2]
[1,5,-2,-4,-3] => [-1,2,-3,-5,-4]
[1,-5,2,4,3] => [-4,5,1,3,2]
[1,-5,2,4,-3] => [-2,5,1,3,-4]
[1,-5,2,-4,3] => [-3,4,1,5,2]
[1,-5,2,-4,-3] => [-2,3,1,4,5]
[1,-5,-2,4,3] => [-1,5,-4,3,2]
[1,-5,-2,4,-3] => [-1,5,-3,2,-4]
[1,-5,-2,-4,3] => [-1,4,-3,5,2]
[1,-5,-2,-4,-3] => [-1,2,5,3,4]
[-1,5,2,4,3] => [3,-5,-4,2,1]
[-1,5,2,4,-3] => [4,-2,-1,3,-5]
[-1,5,2,-4,3] => [4,-3,-2,-5,1]
[-1,5,2,-4,-3] => [3,-2,-1,-5,-4]
[-1,5,-2,4,3] => [2,-5,1,-4,-3]
[-1,5,-2,4,-3] => [-4,-3,1,-2,-5]
[-1,5,-2,-4,3] => [-3,-2,-5,4,-1]
[-1,5,-2,-4,-3] => [-2,-1,-3,-5,-4]
[-1,-5,2,4,3] => [5,-4,-3,2,1]
[-1,-5,2,4,-3] => [5,-2,-1,3,-4]
[-1,-5,2,-4,3] => [4,-3,-2,5,1]
[-1,-5,2,-4,-3] => [3,-2,-1,4,5]
[-1,-5,-2,4,3] => [5,-4,1,-3,-2]
[-1,-5,-2,4,-3] => [-3,-2,5,-1,-4]
[-1,-5,-2,-4,3] => [-3,-2,5,4,-1]
[-1,-5,-2,-4,-3] => [4,5,3,1,2]
[1,5,3,2,4] => [-5,4,2,1,3]
[1,5,3,2,-4] => [-3,4,2,1,-5]
[1,5,3,-2,4] => [-1,4,2,-5,3]
[1,5,3,-2,-4] => [-1,4,2,-3,-5]
[1,5,-3,2,4] => [-2,4,-5,1,3]
[1,5,-3,2,-4] => [-2,3,-4,1,-5]
[1,5,-3,-2,4] => [-1,3,-5,-4,2]
[1,5,-3,-2,-4] => [-1,2,-4,-3,-5]
[1,-5,3,2,4] => [-4,5,2,1,3]
[1,-5,3,2,-4] => [-3,4,2,1,5]
[1,-5,3,-2,4] => [-1,5,2,-4,3]
[1,-5,3,-2,-4] => [-1,4,2,-3,5]
[1,-5,-3,2,4] => [-2,5,-4,1,3]
[1,-5,-3,2,-4] => [-2,3,5,1,4]
[1,-5,-3,-2,4] => [-1,5,-4,-3,2]
[1,-5,-3,-2,-4] => [-1,2,4,5,3]
[-1,5,3,2,4] => [1,3,-5,-4,2]
[-1,5,3,2,-4] => [1,4,-3,-2,-5]
[-1,5,3,-2,4] => [2,-4,-3,-5,1]
[-1,5,3,-2,-4] => [4,-2,-1,-3,-5]
[-1,5,-3,2,4] => [-5,-2,4,-1,3]
[-1,5,-3,2,-4] => [-4,-2,3,-1,-5]
[-1,5,-3,-2,4] => [-4,-3,1,-5,-2]
[-1,5,-3,-2,-4] => [-2,-1,-4,-3,-5]
[-1,-5,3,2,4] => [1,5,-4,-3,2]
[-1,-5,3,2,-4] => [1,4,-3,-2,5]
[-1,-5,3,-2,4] => [5,-3,-2,-4,1]
[-1,-5,3,-2,-4] => [4,-2,-1,-3,5]
[-1,-5,-3,2,4] => [-4,-2,5,-1,3]
[-1,-5,-3,2,-4] => [5,-2,3,-1,4]
[-1,-5,-3,-2,4] => [-3,-2,5,-4,-1]
[-1,-5,-3,-2,-4] => [4,5,2,3,1]
[1,5,3,4,2] => [-5,4,2,3,1]
[1,5,3,4,-2] => [-1,4,2,3,-5]
[1,5,3,-4,2] => [-3,4,2,-5,1]
[1,5,3,-4,-2] => [-1,4,2,-5,-3]
[1,5,-3,4,2] => [-2,4,-5,3,1]
[1,5,-3,4,-2] => [-1,3,-5,2,-4]
[1,5,-3,-4,2] => [-2,3,-4,-5,1]
[1,5,-3,-4,-2] => [-1,2,-4,-5,-3]
[1,-5,3,4,2] => [-4,5,2,3,1]
[1,-5,3,4,-2] => [-1,5,2,3,-4]
[1,-5,3,-4,2] => [-3,4,2,5,1]
[1,-5,3,-4,-2] => [-1,4,2,5,-3]
[1,-5,-3,4,2] => [-2,5,-4,3,1]
[1,-5,-3,4,-2] => [-1,5,-4,2,-3]
[1,-5,-3,-4,2] => [-2,3,5,4,1]
[1,-5,-3,-4,-2] => [-1,2,4,3,5]
[-1,5,3,4,2] => [2,3,-5,1,-4]
[-1,5,3,4,-2] => [2,-4,-3,1,-5]
[-1,5,3,-4,2] => [1,-5,-3,4,-2]
[-1,5,3,-4,-2] => [4,-2,-1,-5,-3]
[-1,5,-3,4,2] => [4,-5,3,-2,-1]
[-1,5,-3,4,-2] => [-5,-3,1,-2,-4]
[-1,5,-3,-4,2] => [-4,-2,-5,3,-1]
[-1,5,-3,-4,-2] => [-2,-1,-4,-5,-3]
[-1,-5,3,4,2] => [2,5,-4,1,-3]
[-1,-5,3,4,-2] => [5,-3,-2,1,-4]
[-1,-5,3,-4,2] => [1,5,-3,4,-2]
[-1,-5,3,-4,-2] => [4,-2,-1,5,-3]
[-1,-5,-3,4,2] => [5,-4,3,-2,-1]
[-1,-5,-3,4,-2] => [-4,-2,5,-1,-3]
[-1,-5,-3,-4,2] => [5,-2,4,3,-1]
[-1,-5,-3,-4,-2] => [4,5,2,1,3]
[1,5,4,2,3] => [-5,4,3,1,2]
[1,5,4,2,-3] => [-2,4,3,1,-5]
[1,5,4,-2,3] => [-1,4,3,-5,2]
[1,5,4,-2,-3] => [-1,3,2,-4,-5]
[1,5,-4,2,3] => [-3,4,-5,1,2]
[1,5,-4,2,-3] => [-2,3,-5,1,-4]
[1,5,-4,-2,3] => [-1,4,-5,-3,2]
[1,5,-4,-2,-3] => [-1,2,-5,-3,-4]
[1,-5,4,2,3] => [-4,5,3,1,2]
[1,-5,4,2,-3] => [-2,5,3,1,-4]
[1,-5,4,-2,3] => [-1,5,3,-4,2]
[1,-5,4,-2,-3] => [-1,5,2,-3,-4]
[1,-5,-4,2,3] => [-3,4,5,1,2]
[1,-5,-4,2,-3] => [-2,3,4,1,5]
[1,-5,-4,-2,3] => [-1,4,5,-3,2]
[1,-5,-4,-2,-3] => [-1,2,3,5,4]
[-1,5,4,2,3] => [2,3,-5,-4,1]
[-1,5,4,2,-3] => [3,4,-2,-1,-5]
[-1,5,4,-2,3] => [1,-5,-4,2,-3]
[-1,5,4,-2,-3] => [1,-3,-2,-4,-5]
[-1,5,-4,2,3] => [-5,-3,4,-2,1]
[-1,5,-4,2,-3] => [-5,-2,3,-1,-4]
[-1,5,-4,-2,3] => [-3,-2,4,-5,-1]
[-1,5,-4,-2,-3] => [-2,-1,-5,-3,-4]
[-1,-5,4,2,3] => [2,5,-4,-3,1]
[-1,-5,4,2,-3] => [3,5,-2,-1,-4]
[-1,-5,4,-2,3] => [1,-4,-3,5,-2]
[-1,-5,4,-2,-3] => [5,-2,-1,-3,-4]
[-1,-5,-4,2,3] => [5,-3,4,-2,1]
[-1,-5,-4,2,-3] => [4,-2,3,-1,5]
[-1,-5,-4,-2,3] => [-3,-2,4,5,-1]
[-1,-5,-4,-2,-3] => [4,5,1,3,2]
[1,5,4,3,2] => [-5,4,3,2,1]
[1,5,4,3,-2] => [-1,4,3,2,-5]
[1,5,4,-3,2] => [-2,4,3,-5,1]
[1,5,4,-3,-2] => [-1,3,2,-5,-4]
[1,5,-4,3,2] => [-3,4,-5,2,1]
[1,5,-4,3,-2] => [-1,4,-5,2,-3]
[1,5,-4,-3,2] => [-2,3,-5,-4,1]
[1,5,-4,-3,-2] => [-1,2,-5,-4,-3]
[1,-5,4,3,2] => [-4,5,3,2,1]
[1,-5,4,3,-2] => [-1,5,3,2,-4]
[1,-5,4,-3,2] => [-2,5,3,-4,1]
[1,-5,4,-3,-2] => [-1,5,2,-4,-3]
[1,-5,-4,3,2] => [-3,4,5,2,1]
[1,-5,-4,3,-2] => [-1,4,5,2,-3]
[1,-5,-4,-3,2] => [-2,3,4,5,1]
[1,-5,-4,-3,-2] => [-1,2,3,4,5]
[-1,5,4,3,2] => [1,2,3,-5,-4]
[-1,5,4,3,-2] => [1,2,-4,-3,-5]
[-1,5,4,-3,2] => [3,-5,-2,4,-1]
[-1,5,4,-3,-2] => [1,-3,-2,-5,-4]
[-1,5,-4,3,2] => [4,-5,1,-3,-2]
[-1,5,-4,3,-2] => [-5,-2,4,-1,-3]
-----------------------------------------------------------------------------
Created: Jan 19, 2023 at 13:06 by Martin Rubey
-----------------------------------------------------------------------------
Last Updated: Jan 19, 2023 at 13:06 by Martin Rubey