Computing toric degenerations of flag varieties

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Trop(Flag₄)
Trop(Flag₅)
Package
L. Bossinger
S. Lamboglia
K. Mincheva
F. Mohammadi

Mathematisches Institut
University of Cologne
Weyertal 86 - 90
50931 Cologne
Germany

Room 211
Tel: +49 (0) 221 470 3722
Email: lbossing (at) math.uni-koeln.de

Trop(Flag₅)

The ideal corresponding to the embedding of Flag₅ into a product of Grassmannians Gr(1,5)xGr(2,5)xGr(3,5)xGr(4,5) and further with respect to the Plücker embedding of each Grassmannian into a product of projective spaces is generated by

p_3,4,5p_1,2,4,5-p_2,4,5p_1,3,4,5+p_1,4,5p_2,3,4,5,
p_3,4,5p_1,2,3,5-p_2,3,5p_1,3,4,5+p_1,3,5p_2,3,4,5,
p_2,4,5p_1,2,3,5-p_2,3,5p_1,2,4,5+p_1,2,5p_2,3,4,5,
p_1,4,5p_1,2,3,5-p_1,3,5p_1,2,4,5+p_1,2,5p_1,3,4,5,
p_4,5p_1,2,3,5-p_3,5p_1,2,4,5+p_2,5p_1,3,4,5-p_1,5p_2,3,4,5,
p_3,4,5p_1,2,3,4-p_2,3,4p_1,3,4,5+p_1,3,4p_2,3,4,5,
p_2,4,5p_1,2,3,4-p_2,3,4p_1,2,4,5+p_1,2,4p_2,3,4,5,
p_1,4,5p_1,2,3,4-p_1,3,4p_1,2,4,5+p_1,2,4p_1,3,4,5,
p_2,3,5p_1,2,3,4-p_2,3,4p_1,2,3,5+p_1,2,3p_2,3,4,5,
p_1,3,5p_1,2,3,4-p_1,3,4p_1,2,3,5+p_1,2,3p_1,3,4,5,
p_1,2,5p_1,2,3,4-p_1,2,4p_1,2,3,5+p_1,2,3p_1,2,4,5,
p_4,5p_1,2,3,4-p_3,4p_1,2,4,5+p_2,4p_1,3,4,5-p_1,4p_2,3,4,5,
p_3,5p_1,2,3,4-p_3,4p_1,2,3,5+p_2,3p_1,3,4,5-p_1,3p_2,3,4,5,
p_2,5p_1,2,3,4-p_2,4p_1,2,3,5+p_2,3p_1,2,4,5-p_1,2p_2,3,4,5,
p_1,5p_1,2,3,4-p_1,4p_1,2,3,5+p_1,3p_1,2,4,5-p_1,2p_1,3,4,5,
p₅p_1,2,3,4-p₄p_1,2,3,5+p₃p_1,2,4,5-p₂p_1,3,4,5+p₁p_2,3,4,5,
p_2,3,5p_1,4,5-p_1,3,5p_2,4,5+p_1,2,5p_3,4,5,
p_2,3,4p_1,4,5-p_1,3,4p_2,4,5+p_1,2,4p_3,4,5,
p_4,5p_2,3,5-p_3,5p_2,4,5+p_2,5p_3,4,5,
p_2,3,4p_1,3,5-p_1,3,4p_2,3,5+p_1,2,3p_3,4,5,
p_4,5p_1,3,5-p_3,5p_1,4,5+p_1,5p_3,4,5,
p_2,3,4p_1,2,5-p_1,2,4p_2,3,5+p_1,2,3p_2,4,5,
p_1,3,4p_1,2,5-p_1,2,4p_1,3,5+p_1,2,3p_1,4,5,
p_4,5p_1,2,5-p_2,5p_1,4,5+p_1,5p_2,4,5,
p_3,5p_1,2,5-p_2,5p_1,3,5+p_1,5p_2,3,5,
p_3,4p_1,2,5-p_2,4p_1,3,5+p_1,4p_2,3,5+p_2,3p_1,4,5-p_1,3p_2,4,5+p_1,2p_3,4,5,
p_4,5p_2,3,4-p_3,4p_2,4,5+p_2,4p_3,4,5,
p_3,5p_2,3,4-p_3,4p_2,3,5+p_2,3p_3,4,5,
p_2,5p_2,3,4-p_2,4p_2,3,5+p_2,3p_2,4,5,
p_1,5p_2,3,4-p_1,4p_2,3,5+p_1,3p_2,4,5-p_1,2p_3,4,5,
p₅p_2,3,4-p₄p_2,3,5+p₃p_2,4,5-p₂p_3,4,5,
p_4,5p_1,3,4-p_3,4p_1,4,5+p_1,4p_3,4,5,
p_3,5p_1,3,4-p_3,4p_1,3,5+p_1,3p_3,4,5,
p_2,5p_1,3,4-p_2,4p_1,3,5+p_2,3p_1,4,5+p_1,2p_3,4,5,
p_1,5p_1,3,4-p_1,4p_1,3,5+p_1,3p_1,4,5,
p₅p_1,3,4-p₄p_1,3,5+p₃p_1,4,5-p₁p_3,4,5,
p_4,5p_1,2,4-p_2,4p_1,4,5+p_1,4p_2,4,5,
p_3,5p_1,2,4-p_2,4p_1,3,5+p_1,4p_2,3,5+p_1,2p_3,4,5,
p_2,5p_1,2,4-p_2,4p_1,2,5+p_1,2p_2,4,5,
p_1,5p_1,2,4-p_1,4p_1,2,5+p_1,2p_1,4,5,
p_3,4p_1,2,4-p_2,4p_1,3,4+p_1,4p_2,3,4,
p₅p_1,2,4-p₄p_1,2,5+p₂p_1,4,5-p₁p_2,4,5,
p_4,5p_1,2,3-p_2,3p_1,4,5+p_1,3p_2,4,5-p_1,2p_3,4,5,
p_3,5p_1,2,3-p_2,3p_1,3,5+p_1,3p_2,3,5,
p_2,5p_1,2,3-p_2,3p_1,2,5+p_1,2p_2,3,5,
p_1,5p_1,2,3-p_1,3p_1,2,5+p_1,2p_1,3,5,
p_3,4p_1,2,3-p_2,3p_1,3,4+p_1,3p_2,3,4,
p_2,4p_1,2,3-p_2,3p_1,2,4+p_1,2p_2,3,4,
p_1,4p_1,2,3-p_1,3p_1,2,4+p_1,2p_1,3,4,
p₅p_1,2,3-p₃p_1,2,5+p₂p_1,3,5-p₁p_2,3,5,
p₄p_1,2,3-p₃p_1,2,4+p₂p_1,3,4-p₁p_2,3,4,
p_3,4p_2,5-p_2,4p_3,5+p_2,3p_4,5,
p_3,4p_1,5-p_1,4p_3,5+p_1,3p_4,5,
p_2,4p_1,5-p_1,4p_2,5+p_1,2p_4,5,
p_2,3p_1,5-p_1,3p_2,5+p_1,2p_3,5,
p₅p_3,4-p₄p_3,5+p₃p_4,5,
p₅p_2,4-p₄p_2,5+p₂p_4,5,
p_2,3p_1,4-p_1,3p_2,4+p_1,2p_3,4,
p₅p_1,4-p₄p_1,5+p₁p_4,5,
p₅p_2,3-p₃p_2,5+p₂p_3,5,
p₄p_2,3-p₃p_2,4+p₂p_3,4,
p₅p_1,3-p₃p_1,5+p₁p_3,5,
p₄p_1,3-p₃p_1,4+p₁p_3,4,
p₅p_1,2-p₂p_1,5+p₁p_2,5,
p₄p_1,2-p₂p_1,4+p₁p_2,4,
p₃p_1,2-p₂p_1,3+p₁p_2,3

Click here for the ideal in Macaulay2 code and the input for the tropical starting cone for gfan. In the follwing tables the entries are with respect to the order on Plücker coordinates:

p₁, p₂, p₃, p₄, p₅,
p_1,2, p_1,3, p_2,3, p_1,4, p_2,4, p_3,4, p_1,5, p_2,5, p_3,5, p_4,5,
p_1,2,3, p_1,2,4, p_1,3,4, p_2,3,4, p_1,2,5, p_1,3,5, p_2,3,5, p_1,4,5, p_2,4,5, p_3,4,5,
p_1,2,3,4, p_1,2,3,5, p_1,2,4,5, p_1,3,4,5, p_2,3,4,5.

Trop(Flag₅) is the support of a 14-dimensional pure, but not simplicial polyhedral fan in a 30-dimensional ambient space. The F-vector of the fan is

1 320 5910 38970 113565 147950 69780

The rays of the fan are given in the following table.

ray generator	No.
(-4, 1, 1, 1, 1, -3, -3, 2, -3, 2, 2, -3, 2, 2, 2, 2, 2, 2, -3, 2, 2, -3, 2, -3, -3, 1, 1, 1, 1, -4 )	0
(1, -4, 1, 1, 1, -3, 2, -3, 2, -3, 2, 2, -3, 2, 2, 2, 2, -3, 2, 2, -3, 2, -3, 2, -3, 1, 1, 1, -4, 1 )	1
(1, 1, -4, 1, 1, 2, -3, -3, 2, 2, -3, 2, 2, -3, 2, 2, -3, 2, 2, -3, 2, 2, -3, -3, 2, 1, 1, -4, 1, 1 )	2
(1, 1, 1, -4, 1, 2, 2, 2, -3, -3, -3, 2, 2, 2, -3, -3, 2, 2, 2, -3, -3, -3, 2, 2, 2, 1, -4, 1, 1, 1 )	3
(1, 1, 1, 1, -4, 2, 2, 2, 2, 2, 2, -3, -3, -3, -3, -3, -3, -3, -3, 2, 2, 2, 2, 2, 2, -4, 1, 1, 1, 1 )	4
(-4, 1, 1, 1, 1, -1, -1, -6, -1, 4, 4, -1, 4, 4, -6, -6, 4, 4, -1, 4, 4, -1, -6, -1, -1, 1, 1, 1, 1, -4 )	5
(-4, 1, 1, 1, 1, -1, -1, 4, -1, -6, 4, -1, 4, -6, 4, 4, -6, 4, -1, 4, -6, -1, 4, -1, -1, 1, 1, 1, 1, -4 )	6
(-4, 1, 1, 1, 1, -1, -1, 4, -1, 4, -6, -1, -6, 4, 4, 4, 4, -6, -1, -6, 4, -1, 4, -1, -1, 1, 1, 1, 1, -4 )	7
(1, -4, 1, 1, 1, -1, -6, -1, 4, -1, 4, 4, -1, 4, -6, -6, 4, -1, 4, 4, -1, 4, -1, -6, -1, 1, 1, 1, -4, 1 )	8
(1, -4, 1, 1, 1, -1, 4, -1, -6, -1, 4, 4, -1, -6, 4, 4, -6, -1, 4, 4, -1, -6, -1, 4, -1, 1, 1, 1, -4, 1 )	9
(1, -4, 1, 1, 1, -1, 4, -1, 4, -1, -6, -6, -1, 4, 4, 4, 4, -1, -6, -6, -1, 4, -1, 4, -1, 1, 1, 1, -4, 1 )	10
(1, 1, -4, 1, 1, -6, -1, -1, 4, 4, -1, 4, 4, -1, -6, -6, -1, 4, 4, -1, 4, 4, -1, -1, -6, 1, 1, -4, 1, 1 )	11
(1, 1, -4, 1, 1, 4, -1, -1, -6, 4, -1, 4, -6, -1, 4, 4, -1, -6, 4, -1, 4, -6, -1, -1, 4, 1, 1, -4, 1, 1 )	12
(1, 1, -4, 1, 1, 4, -1, -1, 4, -6, -1, -6, 4, -1, 4, 4, -1, 4, -6, -1, -6, 4, -1, -1, 4, 1, 1, -4, 1, 1 )	13
(1, 1, 1, -4, 1, -6, 4, 4, -1, -1, -1, 4, 4, -6, -1, -1, -6, 4, 4, -1, -1, -1, 4, 4, -6, 1, -4, 1, 1, 1 )	14
(1, 1, 1, -4, 1, 4, -6, 4, -1, -1, -1, 4, -6, 4, -1, -1, 4, -6, 4, -1, -1, -1, 4, -6, 4, 1, -4, 1, 1, 1 )	15
(1, 1, 1, -4, 1, 4, 4, -6, -1, -1, -1, -6, 4, 4, -1, -1, 4, 4, -6, -1, -1, -1, -6, 4, 4, 1, -4, 1, 1, 1 )	16
(1, 1, 1, 1, -4, -6, 4, 4, 4, 4, -6, -1, -1, -1, -1, -1, -1, -1, -1, -6, 4, 4, 4, 4, -6, -4, 1, 1, 1, 1 )	17
(1, 1, 1, 1, -4, 4, -6, 4, 4, -6, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, -6, 4, 4, -6, 4, -4, 1, 1, 1, 1 )	18
(1, 1, 1, 1, -4, 4, 4, -6, -6, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -6, -6, 4, 4, -4, 1, 1, 1, 1 )	19
(-3, -3, 2, 2, 2, -3, 2, 2, 2, 2, -3, 2, 2, -3, -3, -3, -3, 2, 2, -3, 2, 2, 2, 2, -3, 2, 2, 2, -3, -3 )	20
(-3, 2, -3, 2, 2, 2, -3, 2, 2, -3, 2, 2, -3, 2, -3, -3, 2, -3, 2, 2, -3, 2, 2, -3, 2, 2, 2, -3, 2, -3 )	21
(-3, 2, 2, -3, 2, 2, 2, -3, -3, 2, 2, 2, -3, -3, 2, 2, -3, -3, 2, 2, 2, -3, -3, 2, 2, 2, -3, 2, 2, -3 )	22
(-3, 2, 2, 2, -3, 2, 2, -3, 2, -3, -3, -3, 2, 2, 2, 2, 2, 2, -3, -3, -3, 2, -3, 2, 2, -3, 2, 2, 2, -3 )	23
(2, -3, -3, 2, 2, 2, 2, -3, -3, 2, 2, -3, 2, 2, -3, -3, 2, 2, -3, 2, 2, -3, -3, 2, 2, 2, 2, -3, -3, 2 )	24
(2, -3, 2, -3, 2, 2, -3, 2, 2, -3, 2, -3, 2, -3, 2, 2, -3, 2, -3, 2, -3, 2, 2, -3, 2, 2, -3, 2, -3, 2 )	25
(2, -3, 2, 2, -3, 2, -3, 2, -3, 2, -3, 2, -3, 2, 2, 2, 2, -3, 2, -3, 2, -3, 2, -3, 2, -3, 2, 2, -3, 2 )	26
(2, 2, -3, -3, 2, -3, 2, 2, 2, 2, -3, -3, -3, 2, 2, 2, 2, -3, -3, -3, 2, 2, 2, 2, -3, 2, -3, -3, 2, 2 )	27
(2, 2, -3, 2, -3, -3, 2, 2, -3, -3, 2, 2, 2, -3, 2, 2, -3, 2, 2, 2, -3, -3, 2, 2, -3, -3, 2, -3, 2, 2 )	28
(2, 2, 2, -3, -3, -3, -3, -3, 2, 2, 2, 2, 2, 2, -3, -3, 2, 2, 2, 2, 2, 2, -3, -3, -3, -3, -3, 2, 2, 2 )	29
(-3, -3, 2, 2, 2, -6, -1, -1, -1, -1, 4, -1, -1, 4, 4, 0, 0, 5, 5, 0, 5, 5, 5, 5, -30, -2, -2, -2, 3, 3 )	30
(-3, 2, -3, 2, 2, -1, -6, -1, -1, 4, -1, -1, 4, -1, 4, 0, 5, 0, 5, 5, 0, 5, 5, -30, 5, -2, -2, 3, -2, 3 )	31
(-3, 2, 2, -3, 2, -1, -1, 4, -6, -1, -1, -1, 4, 4, -1, 5, 0, 0, 5, 5, 5, -30, 0, 5, 5, -2, 3, -2, -2, 3 )	32
(-3, 2, 2, 2, -3, -1, -1, 4, -1, 4, 4, -6, -1, -1, -1, 5, 5, 5, -30, 0, 0, 5, 0, 5, 5, 3, -2, -2, -2, 3 )	33
(-2, -2, -2, 3, 3, 0, 0, 0, 5, 5, 5, 5, 5, 5, -30, -6, -1, -1, -1, -1, -1, -1, 4, 4, 4, -3, -3, 2, 2, 2 )	34
(-2, -2, 3, -2, 3, 0, 5, 5, 0, 0, 5, 5, 5, -30, 5, -1, -6, -1, -1, -1, 4, 4, -1, -1, 4, -3, 2, -3, 2, 2 )	35
(-2, -2, 3, 3, -2, 0, 5, 5, 5, 5, -30, 0, 0, 5, 5, -1, -1, 4, 4, -6, -1, -1, -1, -1, 4, 2, -3, -3, 2, 2 )	36
(-2, 3, -2, -2, 3, 5, 0, 5, 0, 5, 0, 5, -30, 5, 5, -1, -1, -6, -1, 4, -1, 4, -1, 4, -1, -3, 2, 2, -3, 2 )	37
(-2, 3, -2, 3, -2, 5, 0, 5, 5, -30, 5, 0, 5, 0, 5, -1, 4, -1, 4, -1, -6, -1, -1, 4, -1, 2, -3, 2, -3, 2 )	38
(-2, 3, 3, -2, -2, 5, 5, -30, 0, 5, 5, 0, 5, 5, 0, 4, -1, -1, 4, -1, -1, 4, -6, -1, -1, 2, 2, -3, -3, 2 )	39
(2, -3, -3, 2, 2, -1, -1, -6, 4, -1, -1, 4, -1, -1, 4, 0, 5, 5, 0, 5, 5, 0, -30, 5, 5, -2, -2, 3, 3, -2 )	40
(2, -3, 2, -3, 2, -1, 4, -1, -1, -6, -1, 4, -1, 4, -1, 5, 0, 5, 0, 5, -30, 5, 5, 0, 5, -2, 3, -2, 3, -2 )	41
(2, -3, 2, 2, -3, -1, 4, -1, 4, -1, 4, -1, -6, -1, -1, 5, 5, -30, 5, 0, 5, 0, 5, 0, 5, 3, -2, -2, 3, -2 )	42
(2, 2, -3, -3, 2, 4, -1, -1, -1, -1, -6, 4, 4, -1, -1, 5, 5, 0, 0, -30, 5, 5, 5, 5, 0, -2, 3, 3, -2, -2 )	43
(2, 2, -3, 2, -3, 4, -1, -1, 4, 4, -1, -1, -1, -6, -1, 5, -30, 5, 5, 5, 0, 0, 5, 5, 0, 3, -2, 3, -2, -2 )	44
(2, 2, 2, -3, -3, 4, 4, 4, -1, -1, -1, -1, -1, -1, -6, -30, 5, 5, 5, 5, 5, 5, 0, 0, 0, 3, 3, -2, -2, -2 )	45
(3, -2, -2, -2, 3, 5, 5, 0, 5, 0, 0, -30, 5, 5, 5, -1, -1, -1, -6, 4, 4, -1, 4, -1, -1, -3, 2, 2, 2, -3 )	46
(3, -2, -2, 3, -2, 5, 5, 0, -30, 5, 5, 5, 0, 0, 5, -1, 4, 4, -1, -1, -1, -6, 4, -1, -1, 2, -3, 2, 2, -3 )	47
(3, -2, 3, -2, -2, 5, -30, 5, 5, 0, 5, 5, 0, 5, 0, 4, -1, 4, -1, -1, 4, -1, -1, -6, -1, 2, 2, -3, 2, -3 )	48
(3, 3, -2, -2, -2, -30, 5, 5, 5, 5, 0, 5, 5, 0, 0, 4, 4, -1, -1, 4, -1, -1, -1, -1, -6, 2, 2, 2, -3, -3 )	49
(-2, -2, -2, 3, 3, -9, 1, 1, 6, 6, -4, 6, 6, -4, -9, -9, -4, 6, 6, -4, 6, 6, 1, 1, -9, 3, 3, -2, -2, -2 )	50
(-2, -2, -2, 3, 3, 1, -9, 1, 6, -4, 6, 6, -4, 6, -9, -9, 6, -4, 6, 6, -4, 6, 1, -9, 1, 3, 3, -2, -2, -2 )	51
(-2, -2, -2, 3, 3, 1, 1, -9, -4, 6, 6, -4, 6, 6, -9, -9, 6, 6, -4, 6, 6, -4, -9, 1, 1, 3, 3, -2, -2, -2 )	52
(-2, -2, 3, -2, 3, -9, 6, 6, 1, 1, -4, 6, 6, -9, -4, -4, -9, 6, 6, -4, 1, 1, 6, 6, -9, 3, -2, 3, -2, -2 )	53
(-2, -2, 3, -2, 3, 1, -4, 6, 1, -9, 6, -4, 6, -9, 6, 6, -9, 6, -4, 6, -9, 1, 6, -4, 1, 3, -2, 3, -2, -2 )	54
(-2, -2, 3, -2, 3, 1, 6, -4, -9, 1, 6, 6, -4, -9, 6, 6, -9, -4, 6, 6, 1, -9, -4, 6, 1, 3, -2, 3, -2, -2 )	55
(-2, -2, 3, 3, -2, -9, 6, 6, 6, 6, -9, 1, 1, -4, -4, -4, -4, 1, 1, -9, 6, 6, 6, 6, -9, -2, 3, 3, -2, -2 )	56
(-2, -2, 3, 3, -2, 1, -4, 6, -4, 6, -9, 1, -9, 6, 6, 6, 6, -9, 1, -9, 6, -4, 6, -4, 1, -2, 3, 3, -2, -2 )	57
(-2, -2, 3, 3, -2, 1, 6, -4, 6, -4, -9, -9, 1, 6, 6, 6, 6, 1, -9, -9, -4, 6, -4, 6, 1, -2, 3, 3, -2, -2 )	58
(-2, 3, -2, -2, 3, -4, 1, 6, 1, 6, -9, -4, -9, 6, 6, 6, 6, -9, -4, -9, 6, 1, 6, 1, -4, 3, -2, -2, 3, -2 )	59
(-2, 3, -2, -2, 3, 6, -9, 6, 1, -4, 1, 6, -9, 6, -4, -4, 6, -9, 6, 1, -4, 1, 6, -9, 6, 3, -2, -2, 3, -2 )	60
(-2, 3, -2, -2, 3, 6, 1, -4, -9, 6, 1, 6, -9, -4, 6, 6, -4, -9, 6, 1, 6, -9, -4, 1, 6, 3, -2, -2, 3, -2 )	61
(-2, 3, -2, 3, -2, -4, 1, 6, -4, -9, 6, 1, 6, -9, 6, 6, -9, 6, 1, 6, -9, -4, 6, 1, -4, -2, 3, -2, 3, -2 )	62
(-2, 3, -2, 3, -2, 6, -9, 6, 6, -9, 6, 1, -4, 1, -4, -4, 1, -4, 1, 6, -9, 6, 6, -9, 6, -2, 3, -2, 3, -2 )	63
(-2, 3, -2, 3, -2, 6, 1, -4, 6, -9, -4, -9, 6, 1, 6, 6, 1, 6, -9, -4, -9, 6, -4, 1, 6, -2, 3, -2, 3, -2 )	64
(-2, 3, 3, -2, -2, -4, -4, -9, 1, 6, 6, 1, 6, 6, -9, -9, 6, 6, 1, 6, 6, 1, -9, -4, -4, -2, -2, 3, 3, -2 )	65
(-2, 3, 3, -2, -2, 6, 6, -9, -9, 6, 6, 1, -4, -4, 1, 1, -4, -4, 1, 6, 6, -9, -9, 6, 6, -2, -2, 3, 3, -2 )	66
(-2, 3, 3, -2, -2, 6, 6, -9, 1, -4, -4, -9, 6, 6, 1, 1, 6, 6, -9, -4, -4, 1, -9, 6, 6, -2, -2, 3, 3, -2 )	67
(3, -2, -2, -2, 3, -4, 6, 1, 6, 1, -9, -9, -4, 6, 6, 6, 6, -4, -9, -9, 1, 6, 1, 6, -4, 3, -2, -2, -2, 3 )	68
(3, -2, -2, -2, 3, 6, -4, 1, 6, -9, 1, -9, 6, -4, 6, 6, -4, 6, -9, 1, -9, 6, 1, -4, 6, 3, -2, -2, -2, 3 )	69
(3, -2, -2, -2, 3, 6, 6, -9, -4, 1, 1, -9, 6, 6, -4, -4, 6, 6, -9, 1, 1, -4, -9, 6, 6, 3, -2, -2, -2, 3 )	70
(3, -2, -2, 3, -2, -4, 6, 1, -9, -4, 6, 6, 1, -9, 6, 6, -9, 1, 6, 6, -4, -9, 1, 6, -4, -2, 3, -2, -2, 3 )	71
(3, -2, -2, 3, -2, 6, -4, 1, -9, 6, -4, 6, -9, 1, 6, 6, 1, -9, 6, -4, 6, -9, 1, -4, 6, -2, 3, -2, -2, 3 )	72
(3, -2, -2, 3, -2, 6, 6, -9, -9, 6, 6, -4, 1, 1, -4, -4, 1, 1, -4, 6, 6, -9, -9, 6, 6, -2, 3, -2, -2, 3 )	73
(3, -2, 3, -2, -2, -4, -9, -4, 6, 1, 6, 6, 1, 6, -9, -9, 6, 1, 6, 6, 1, 6, -4, -9, -4, -2, -2, 3, -2, 3 )	74
(3, -2, 3, -2, -2, 6, -9, 6, -4, 1, -4, 6, -9, 6, 1, 1, 6, -9, 6, -4, 1, -4, 6, -9, 6, -2, -2, 3, -2, 3 )	75
(3, -2, 3, -2, -2, 6, -9, 6, 6, -9, 6, -4, 1, -4, 1, 1, -4, 1, -4, 6, -9, 6, 6, -9, 6, -2, -2, 3, -2, 3 )	76
(3, 3, -2, -2, -2, -9, -4, -4, 6, 6, 1, 6, 6, 1, -9, -9, 1, 6, 6, 1, 6, 6, -4, -4, -9, -2, -2, -2, 3, 3 )	77
(3, 3, -2, -2, -2, -9, 6, 6, -4, -4, 1, 6, 6, -9, 1, 1, -9, 6, 6, 1, -4, -4, 6, 6, -9, -2, -2, -2, 3, 3 )	78
(3, 3, -2, -2, -2, -9, 6, 6, 6, 6, -9, -4, -4, 1, 1, 1, 1, -4, -4, -9, 6, 6, 6, 6, -9, -2, -2, -2, 3, 3 )	79
(-2, -2, -2, 3, 3, -3, -3, -3, 2, 2, 2, 2, 2, 2, -3, -3, 2, 2, 2, 2, 2, 2, -3, -3, -3, 3, 3, -2, -2, -2 )	80
(-2, -2, 3, -2, 3, -3, 2, 2, -3, -3, 2, 2, 2, -3, 2, 2, -3, 2, 2, 2, -3, -3, 2, 2, -3, 3, -2, 3, -2, -2 )	81
(-2, -2, 3, 3, -2, -3, 2, 2, 2, 2, -3, -3, -3, 2, 2, 2, 2, -3, -3, -3, 2, 2, 2, 2, -3, -2, 3, 3, -2, -2 )	82
(-2, 3, -2, -2, 3, 2, -3, 2, -3, 2, -3, 2, -3, 2, 2, 2, 2, -3, 2, -3, 2, -3, 2, -3, 2, 3, -2, -2, 3, -2 )	83
(-2, 3, -2, 3, -2, 2, -3, 2, 2, -3, 2, -3, 2, -3, 2, 2, -3, 2, -3, 2, -3, 2, 2, -3, 2, -2, 3, -2, 3, -2 )	84
(-2, 3, 3, -2, -2, 2, 2, -3, -3, 2, 2, -3, 2, 2, -3, -3, 2, 2, -3, 2, 2, -3, -3, 2, 2, -2, -2, 3, 3, -2 )	85
(3, -2, -2, -2, 3, 2, 2, -3, 2, -3, -3, -3, 2, 2, 2, 2, 2, 2, -3, -3, -3, 2, -3, 2, 2, 3, -2, -2, -2, 3 )	86
(3, -2, -2, 3, -2, 2, 2, -3, -3, 2, 2, 2, -3, -3, 2, 2, -3, -3, 2, 2, 2, -3, -3, 2, 2, -2, 3, -2, -2, 3 )	87
(3, -2, 3, -2, -2, 2, -3, 2, 2, -3, 2, 2, -3, 2, -3, -3, 2, -3, 2, 2, -3, 2, 2, -3, 2, -2, -2, 3, -2, 3 )	88
(3, 3, -2, -2, -2, -3, 2, 2, 2, 2, -3, 2, 2, -3, -3, -3, -3, 2, 2, -3, 2, 2, 2, 2, -3, -2, -2, -2, 3, 3 )	89
(-5, -5, 0, 5, 5, -4, 1, 1, 6, 6, -9, 6, 6, -9, -4, -4, 1, 6, 6, 1, 6, 6, -9, -9, -4, -5, -5, 0, 5, 5 )	90
(-5, -5, 5, 0, 5, -4, 6, 6, 1, 1, -9, 6, 6, -4, -9, 1, -4, 6, 6, 1, -9, -9, 6, 6, -4, -5, 0, -5, 5, 5 )	91
(-5, -5, 5, 5, 0, -4, 6, 6, 6, 6, -4, 1, 1, -9, -9, 1, 1, -9, -9, -4, 6, 6, 6, 6, -4, 0, -5, -5, 5, 5 )	92
(-5, 0, -5, 5, 5, 1, -4, 1, 6, -9, 6, 6, -9, 6, -4, -4, 6, 1, 6, 6, 1, 6, -9, -4, -9, -5, -5, 5, 0, 5 )	93
(-5, 0, 5, -5, 5, 1, 6, -9, -4, 1, 6, 6, -9, -4, 6, 6, -4, 1, 6, 6, -9, -4, 1, 6, -9, -5, 5, -5, 0, 5 )	94
(-5, 0, 5, 5, -5, 1, 6, -9, 6, -9, -4, -4, 1, 6, 6, 6, 6, -9, -4, -4, 1, 6, 1, 6, -9, 5, -5, -5, 0, 5 )	95
(-5, 5, -5, 0, 5, 6, -4, 6, 1, -9, 1, 6, -4, 6, -9, 1, 6, -4, 6, -9, 1, -9, 6, -4, 6, -5, 0, 5, -5, 5 )	96
(-5, 5, -5, 5, 0, 6, -4, 6, 6, -4, 6, 1, -9, 1, -9, 1, -9, 1, -9, 6, -4, 6, 6, -4, 6, 0, -5, 5, -5, 5 )	97
(-5, 5, 0, -5, 5, 6, 1, -9, -4, 6, 1, 6, -4, -9, 6, 6, 1, -4, 6, -9, 6, -4, 1, -9, 6, -5, 5, 0, -5, 5 )	98
(-5, 5, 0, 5, -5, 6, 1, -9, 6, -4, -9, -4, 6, 1, 6, 6, -9, 6, -4, 1, -4, 6, 1, -9, 6, 5, -5, 0, -5, 5 )	99
(-5, 5, 5, -5, 0, 6, 6, -4, -4, 6, 6, 1, -9, -9, 1, -9, 1, 1, -9, 6, 6, -4, -4, 6, 6, 0, 5, -5, -5, 5 )	100
(-5, 5, 5, 0, -5, 6, 6, -4, 1, -9, -9, -4, 6, 6, 1, -9, 6, 6, -4, 1, 1, -9, -4, 6, 6, 5, 0, -5, -5, 5 )	101
(0, -5, -5, 5, 5, 1, 1, -4, -9, 6, 6, -9, 6, 6, -4, -4, 6, 6, 1, 6, 6, 1, -4, -9, -9, -5, -5, 5, 5, 0 )	102
(0, -5, 5, -5, 5, 1, -9, 6, 1, -4, 6, -9, 6, -4, 6, 6, -4, 6, 1, 6, -4, -9, 6, 1, -9, -5, 5, -5, 5, 0 )	103
(0, -5, 5, 5, -5, 1, -9, 6, -9, 6, -4, 1, -4, 6, 6, 6, 6, -4, -9, -4, 6, 1, 6, 1, -9, 5, -5, -5, 5, 0 )	104
(0, 5, -5, -5, 5, -9, 1, 6, 1, 6, -4, -9, -4, 6, 6, 6, 6, -4, 1, -4, 6, -9, 6, -9, 1, -5, 5, 5, -5, 0 )	105
(0, 5, -5, 5, -5, -9, 1, 6, -9, -4, 6, 1, 6, -4, 6, 6, -4, 6, -9, 6, -4, 1, 6, -9, 1, 5, -5, 5, -5, 0 )	106
(0, 5, 5, -5, -5, -9, -9, -4, 1, 6, 6, 1, 6, 6, -4, -4, 6, 6, -9, 6, 6, -9, -4, 1, 1, 5, 5, -5, -5, 0 )	107
(5, -5, -5, 0, 5, 6, 6, -4, -9, 1, 1, -4, 6, 6, -9, 1, 6, 6, -4, -9, -9, 1, -4, 6, 6, -5, 0, 5, 5, -5 )	108
(5, -5, -5, 5, 0, 6, 6, -4, -4, 6, 6, -9, 1, 1, -9, 1, -9, -9, 1, 6, 6, -4, -4, 6, 6, 0, -5, 5, 5, -5 )	109
(5, -5, 0, -5, 5, 6, -9, 1, 6, -4, 1, -4, 6, -9, 6, 6, 1, 6, -4, -9, -4, 6, -9, 1, 6, -5, 5, 0, 5, -5 )	110
(5, -5, 0, 5, -5, 6, -9, 1, -4, 6, -9, 6, -4, 1, 6, 6, -9, -4, 6, 1, 6, -4, -9, 1, 6, 5, -5, 0, 5, -5 )	111
(5, -5, 5, -5, 0, 6, -4, 6, 6, -4, 6, -9, 1, -9, 1, -9, 1, -9, 1, 6, -4, 6, 6, -4, 6, 0, 5, -5, 5, -5 )	112
(5, -5, 5, 0, -5, 6, -4, 6, -9, 1, -9, 6, -4, 6, 1, -9, 6, -4, 6, 1, -9, 1, 6, -4, 6, 5, 0, -5, 5, -5 )	113
(5, 0, -5, -5, 5, -9, 6, 1, 6, 1, -4, -4, -9, 6, 6, 6, 6, 1, -4, -4, -9, 6, -9, 6, 1, -5, 5, 5, 0, -5 )	114
(5, 0, -5, 5, -5, -9, 6, 1, -4, -9, 6, 6, 1, -4, 6, 6, -4, -9, 6, 6, 1, -4, -9, 6, 1, 5, -5, 5, 0, -5 )	115
(5, 0, 5, -5, -5, -9, -4, -9, 6, 1, 6, 6, 1, 6, -4, -4, 6, -9, 6, 6, -9, 6, 1, -4, 1, 5, 5, -5, 0, -5 )	116
(5, 5, -5, -5, 0, -4, 6, 6, 6, 6, -4, -9, -9, 1, 1, -9, -9, 1, 1, -4, 6, 6, 6, 6, -4, 0, 5, 5, -5, -5 )	117
(5, 5, -5, 0, -5, -4, 6, 6, -9, -9, 1, 6, 6, -4, 1, -9, -4, 6, 6, -9, 1, 1, 6, 6, -4, 5, 0, 5, -5, -5 )	118
(5, 5, 0, -5, -5, -4, -9, -9, 6, 6, 1, 6, 6, 1, -4, -4, -9, 6, 6, -9, 6, 6, 1, 1, -4, 5, 5, 0, -5, -5 )	119
(-9, -9, 6, 6, 6, -12, 3, 3, 3, 3, -2, 3, 3, -2, -2, 4, 4, -1, -1, 4, -1, -1, -1, -1, -6, 2, 2, 2, -3, -3 )	120
(-9, 6, -9, 6, 6, 3, -12, 3, 3, -2, 3, 3, -2, 3, -2, 4, -1, 4, -1, -1, 4, -1, -1, -6, -1, 2, 2, -3, 2, -3 )	121
(-9, 6, 6, -9, 6, 3, 3, -2, -12, 3, 3, 3, -2, -2, 3, -1, 4, 4, -1, -1, -1, -6, 4, -1, -1, 2, -3, 2, 2, -3 )	122
(-9, 6, 6, 6, -9, 3, 3, -2, 3, -2, -2, -12, 3, 3, 3, -1, -1, -1, -6, 4, 4, -1, 4, -1, -1, -3, 2, 2, 2, -3 )	123
(-3, -3, 2, 2, 2, -6, -1, -1, -1, -1, 4, -1, -1, 4, 4, -2, -2, 3, 3, -2, 3, 3, 3, 3, -12, 6, 6, 6, -9, -9 )	124
(-3, 2, -3, 2, 2, -1, -6, -1, -1, 4, -1, -1, 4, -1, 4, -2, 3, -2, 3, 3, -2, 3, 3, -12, 3, 6, 6, -9, 6, -9 )	125
(-3, 2, 2, -3, 2, -1, -1, 4, -6, -1, -1, -1, 4, 4, -1, 3, -2, -2, 3, 3, 3, -12, -2, 3, 3, 6, -9, 6, 6, -9 )	126
(-3, 2, 2, 2, -3, -1, -1, 4, -1, 4, 4, -6, -1, -1, -1, 3, 3, 3, -12, -2, -2, 3, -2, 3, 3, -9, 6, 6, 6, -9 )	127
(2, -3, -3, 2, 2, -1, -1, -6, 4, -1, -1, 4, -1, -1, 4, -2, 3, 3, -2, 3, 3, -2, -12, 3, 3, 6, 6, -9, -9, 6 )	128
(2, -3, 2, -3, 2, -1, 4, -1, -1, -6, -1, 4, -1, 4, -1, 3, -2, 3, -2, 3, -12, 3, 3, -2, 3, 6, -9, 6, -9, 6 )	129
(2, -3, 2, 2, -3, -1, 4, -1, 4, -1, 4, -1, -6, -1, -1, 3, 3, -12, 3, -2, 3, -2, 3, -2, 3, -9, 6, 6, -9, 6 )	130
(2, 2, -3, -3, 2, 4, -1, -1, -1, -1, -6, 4, 4, -1, -1, 3, 3, -2, -2, -12, 3, 3, 3, 3, -2, 6, -9, -9, 6, 6 )	131
(2, 2, -3, 2, -3, 4, -1, -1, 4, 4, -1, -1, -1, -6, -1, 3, -12, 3, 3, 3, -2, -2, 3, 3, -2, -9, 6, -9, 6, 6 )	132
(2, 2, 2, -3, -3, 4, 4, 4, -1, -1, -1, -1, -1, -1, -6, -12, 3, 3, 3, 3, 3, 3, -2, -2, -2, -9, -9, 6, 6, 6 )	133
(6, -9, -9, 6, 6, 3, 3, -12, -2, 3, 3, -2, 3, 3, -2, 4, -1, -1, 4, -1, -1, 4, -6, -1, -1, 2, 2, -3, -3, 2 )	134
(6, -9, 6, -9, 6, 3, -2, 3, 3, -12, 3, -2, 3, -2, 3, -1, 4, -1, 4, -1, -6, -1, -1, 4, -1, 2, -3, 2, -3, 2 )	135
(6, -9, 6, 6, -9, 3, -2, 3, -2, 3, -2, 3, -12, 3, 3, -1, -1, -6, -1, 4, -1, 4, -1, 4, -1, -3, 2, 2, -3, 2 )	136
(6, 6, -9, -9, 6, -2, 3, 3, 3, 3, -12, -2, -2, 3, 3, -1, -1, 4, 4, -6, -1, -1, -1, -1, 4, 2, -3, -3, 2, 2 )	137
(6, 6, -9, 6, -9, -2, 3, 3, -2, -2, 3, 3, 3, -12, 3, -1, -6, -1, -1, -1, 4, 4, -1, -1, 4, -3, 2, -3, 2, 2 )	138
(6, 6, 6, -9, -9, -2, -2, -2, 3, 3, 3, 3, 3, 3, -12, -6, -1, -1, -1, -1, -1, -1, 4, 4, 4, -3, -3, 2, 2, 2 )	139
(-28, 7, 7, 7, 7, 3, 3, -2, 3, -2, -2, 3, -2, -2, -2, 2, 2, 2, -3, 2, 2, -3, 2, -3, -3, 1, 1, 1, 1, -4 )	140
(-4, 1, 1, 1, 1, -3, -3, 2, -3, 2, 2, -3, 2, 2, 2, -2, -2, -2, 3, -2, -2, 3, -2, 3, 3, 7, 7, 7, 7, -28 )	141
(1, -4, 1, 1, 1, -3, 2, -3, 2, -3, 2, 2, -3, 2, 2, -2, -2, 3, -2, -2, 3, -2, 3, -2, 3, 7, 7, 7, -28, 7 )	142
(1, 1, -4, 1, 1, 2, -3, -3, 2, 2, -3, 2, 2, -3, 2, -2, 3, -2, -2, 3, -2, -2, 3, 3, -2, 7, 7, -28, 7, 7 )	143
(1, 1, 1, -4, 1, 2, 2, 2, -3, -3, -3, 2, 2, 2, -3, 3, -2, -2, -2, 3, 3, 3, -2, -2, -2, 7, -28, 7, 7, 7 )	144
(1, 1, 1, 1, -4, 2, 2, 2, 2, 2, 2, -3, -3, -3, -3, 3, 3, 3, 3, -2, -2, -2, -2, -2, -2, -28, 7, 7, 7, 7 )	145
(7, -28, 7, 7, 7, 3, -2, 3, -2, 3, -2, -2, 3, -2, -2, 2, 2, -3, 2, 2, -3, 2, -3, 2, -3, 1, 1, 1, -4, 1 )	146
(7, 7, -28, 7, 7, -2, 3, 3, -2, -2, 3, -2, -2, 3, -2, 2, -3, 2, 2, -3, 2, 2, -3, -3, 2, 1, 1, -4, 1, 1 )	147
(7, 7, 7, -28, 7, -2, -2, -2, 3, 3, 3, -2, -2, -2, 3, -3, 2, 2, 2, -3, -3, -3, 2, 2, 2, 1, -4, 1, 1, 1 )	148
(7, 7, 7, 7, -28, -2, -2, -2, -2, -2, -2, 3, 3, 3, 3, -3, -3, -3, -3, 2, 2, 2, 2, 2, 2, -4, 1, 1, 1, 1 )	149
(-9, -9, 6, 6, 6, -6, 9, 9, 9, 9, -16, 9, 9, -16, -16, -8, -8, 7, 7, -8, 7, 7, 7, 7, -18, -6, -6, -6, 9, 9 )	150
(-9, 6, -9, 6, 6, 9, -6, 9, 9, -16, 9, 9, -16, 9, -16, -8, 7, -8, 7, 7, -8, 7, 7, -18, 7, -6, -6, 9, -6, 9 )	151
(-9, 6, 6, -9, 6, 9, 9, -16, -6, 9, 9, 9, -16, -16, 9, 7, -8, -8, 7, 7, 7, -18, -8, 7, 7, -6, 9, -6, -6, 9 )	152
(-9, 6, 6, 6, -9, 9, 9, -16, 9, -16, -16, -6, 9, 9, 9, 7, 7, 7, -18, -8, -8, 7, -8, 7, 7, 9, -6, -6, -6, 9 )	153
(-6, -6, -6, 9, 9, -8, -8, -8, 7, 7, 7, 7, 7, 7, -18, -6, 9, 9, 9, 9, 9, 9, -16, -16, -16, -9, -9, 6, 6, 6 )	154
(-6, -6, 9, -6, 9, -8, 7, 7, -8, -8, 7, 7, 7, -18, 7, 9, -6, 9, 9, 9, -16, -16, 9, 9, -16, -9, 6, -9, 6, 6 )	155
(-6, -6, 9, 9, -6, -8, 7, 7, 7, 7, -18, -8, -8, 7, 7, 9, 9, -16, -16, -6, 9, 9, 9, 9, -16, 6, -9, -9, 6, 6 )	156
(-6, 9, -6, -6, 9, 7, -8, 7, -8, 7, -8, 7, -18, 7, 7, 9, 9, -6, 9, -16, 9, -16, 9, -16, 9, -9, 6, 6, -9, 6 )	157
(-6, 9, -6, 9, -6, 7, -8, 7, 7, -18, 7, -8, 7, -8, 7, 9, -16, 9, -16, 9, -6, 9, 9, -16, 9, 6, -9, 6, -9, 6 )	158
(-6, 9, 9, -6, -6, 7, 7, -18, -8, 7, 7, -8, 7, 7, -8, -16, 9, 9, -16, 9, 9, -16, -6, 9, 9, 6, 6, -9, -9, 6 )	159
(6, -9, -9, 6, 6, 9, 9, -6, -16, 9, 9, -16, 9, 9, -16, -8, 7, 7, -8, 7, 7, -8, -18, 7, 7, -6, -6, 9, 9, -6 )	160
(6, -9, 6, -9, 6, 9, -16, 9, 9, -6, 9, -16, 9, -16, 9, 7, -8, 7, -8, 7, -18, 7, 7, -8, 7, -6, 9, -6, 9, -6 )	161
(6, -9, 6, 6, -9, 9, -16, 9, -16, 9, -16, 9, -6, 9, 9, 7, 7, -18, 7, -8, 7, -8, 7, -8, 7, 9, -6, -6, 9, -6 )	162
(6, 6, -9, -9, 6, -16, 9, 9, 9, 9, -6, -16, -16, 9, 9, 7, 7, -8, -8, -18, 7, 7, 7, 7, -8, -6, 9, 9, -6, -6 )	163
(6, 6, -9, 6, -9, -16, 9, 9, -16, -16, 9, 9, 9, -6, 9, 7, -18, 7, 7, 7, -8, -8, 7, 7, -8, 9, -6, 9, -6, -6 )	164
(6, 6, 6, -9, -9, -16, -16, -16, 9, 9, 9, 9, 9, 9, -6, -18, 7, 7, 7, 7, 7, 7, -8, -8, -8, 9, 9, -6, -6, -6 )	165
(9, -6, -6, -6, 9, 7, 7, -8, 7, -8, -8, -18, 7, 7, 7, 9, 9, 9, -6, -16, -16, 9, -16, 9, 9, -9, 6, 6, 6, -9 )	166
(9, -6, -6, 9, -6, 7, 7, -8, -18, 7, 7, 7, -8, -8, 7, 9, -16, -16, 9, 9, 9, -6, -16, 9, 9, 6, -9, 6, 6, -9 )	167
(9, -6, 9, -6, -6, 7, -18, 7, 7, -8, 7, 7, -8, 7, -8, -16, 9, -16, 9, 9, -16, 9, 9, -6, 9, 6, 6, -9, 6, -9 )	168
(9, 9, -6, -6, -6, -18, 7, 7, 7, 7, -8, 7, 7, -8, -8, -16, -16, 9, 9, -16, 9, 9, 9, 9, -6, 6, 6, 6, -9, -9 )	169
(-16, -1, -1, 9, 9, -13, -13, 2, -3, 12, 12, -3, 12, 12, -18, 2, 12, 12, -13, 12, 12, -13, -18, -3, -3, -1, -1, 9, 9, -16 )	170
(-16, -1, 9, -1, 9, -13, -3, 12, -13, 2, 12, -3, 12, -18, 12, 12, 2, 12, -13, 12, -18, -3, 12, -13, -3, -1, 9, -1, 9, -16 )	171
(-16, -1, 9, 9, -1, -13, -3, 12, -3, 12, -18, -13, 2, 12, 12, 12, 12, -18, -3, 2, 12, -13, 12, -13, -3, 9, -1, -1, 9, -16 )	172
(-16, 9, -1, -1, 9, -3, -13, 12, -13, 12, 2, -3, -18, 12, 12, 12, 12, 2, -13, -18, 12, -3, 12, -3, -13, -1, 9, 9, -1, -16 )	173
(-16, 9, -1, 9, -1, -3, -13, 12, -3, -18, 12, -13, 12, 2, 12, 12, -18, 12, -3, 12, 2, -13, 12, -3, -13, 9, -1, 9, -1, -16 )	174
(-16, 9, 9, -1, -1, -3, -3, -18, -13, 12, 12, -13, 12, 12, 2, -18, 12, 12, -3, 12, 12, -3, 2, -13, -13, 9, 9, -1, -1, -16 )	175
(-1, -16, -1, 9, 9, -13, 2, -13, 12, -3, 12, 12, -3, 12, -18, 2, 12, -13, 12, 12, -13, 12, -3, -18, -3, -1, -1, 9, -16, 9 )	176
(-1, -16, 9, -1, 9, -13, 12, -3, 2, -13, 12, 12, -3, -18, 12, 12, 2, -13, 12, 12, -3, -18, -13, 12, -3, -1, 9, -1, -16, 9 )	177
(-1, -16, 9, 9, -1, -13, 12, -3, 12, -3, -18, 2, -13, 12, 12, 12, 12, -3, -18, 2, -13, 12, -13, 12, -3, 9, -1, -1, -16, 9 )	178
(-1, -1, -16, 9, 9, 2, -13, -13, 12, 12, -3, 12, 12, -3, -18, 2, -13, 12, 12, -13, 12, 12, -3, -3, -18, -1, -1, -16, 9, 9 )	179
(-1, -1, 9, -16, 9, 2, 12, 12, -13, -13, -3, 12, 12, -18, -3, -13, 2, 12, 12, -13, -3, -3, 12, 12, -18, -1, -16, -1, 9, 9 )	180
(-1, -1, 9, 9, -16, 2, 12, 12, 12, 12, -18, -13, -13, -3, -3, -13, -13, -3, -3, 2, 12, 12, 12, 12, -18, -16, -1, -1, 9, 9 )	181
(-1, 9, -16, -1, 9, 12, -13, -3, 2, 12, -13, 12, -18, -3, 12, 12, -13, 2, 12, -3, 12, -18, -13, -3, 12, -1, 9, -16, -1, 9 )	182
(-1, 9, -16, 9, -1, 12, -13, -3, 12, -18, -3, 2, 12, -13, 12, 12, -3, 12, -18, -13, 2, 12, -13, -3, 12, 9, -1, -16, -1, 9 )	183
(-1, 9, -1, -16, 9, 12, 2, 12, -13, -3, -13, 12, -18, 12, -3, -13, 12, 2, 12, -3, -13, -3, 12, -18, 12, -1, -16, 9, -1, 9 )	184
(-1, 9, -1, 9, -16, 12, 2, 12, 12, -18, 12, -13, -3, -13, -3, -13, -3, -13, -3, 12, 2, 12, 12, -18, 12, -16, -1, 9, -1, 9 )	185
(-1, 9, 9, -16, -1, 12, 12, -18, -13, -3, -3, 2, 12, 12, -13, -3, 12, 12, -18, -13, -13, -3, 2, 12, 12, 9, -16, -1, -1, 9 )	186
(-1, 9, 9, -1, -16, 12, 12, -18, 2, 12, 12, -13, -3, -3, -13, -3, -13, -13, -3, 12, 12, -18, 2, 12, 12, -16, 9, -1, -1, 9 )	187
(9, -16, -1, -1, 9, -3, 12, -13, 12, -13, 2, -18, -3, 12, 12, 12, 12, -13, 2, -18, -3, 12, -3, 12, -13, -1, 9, 9, -16, -1 )	188
(9, -16, -1, 9, -1, -3, 12, -13, -18, -3, 12, 12, -13, 2, 12, 12, -18, -3, 12, 12, -13, 2, -3, 12, -13, 9, -1, 9, -16, -1 )	189
(9, -16, 9, -1, -1, -3, -18, -3, 12, -13, 12, 12, -13, 12, 2, -18, 12, -3, 12, 12, -3, 12, -13, 2, -13, 9, 9, -1, -16, -1 )	190
(9, -1, -16, -1, 9, 12, -3, -13, 12, 2, -13, -18, 12, -3, 12, 12, -13, 12, 2, -3, -18, 12, -3, -13, 12, -1, 9, -16, 9, -1 )	191
(9, -1, -16, 9, -1, 12, -3, -13, -18, 12, -3, 12, 2, -13, 12, 12, -3, -18, 12, -13, 12, 2, -3, -13, 12, 9, -1, -16, 9, -1 )	192
(9, -1, -1, -16, 9, 12, 12, 2, -3, -13, -13, -18, 12, 12, -3, -13, 12, 12, 2, -3, -3, -13, -18, 12, 12, -1, -16, 9, 9, -1 )	193
(9, -1, -1, 9, -16, 12, 12, 2, -18, 12, 12, -3, -13, -13, -3, -13, -3, -3, -13, 12, 12, 2, -18, 12, 12, -16, -1, 9, 9, -1 )	194
(9, -1, 9, -16, -1, 12, -18, 12, -3, -13, -3, 12, 2, 12, -13, -3, 12, -18, 12, -13, -3, -13, 12, 2, 12, 9, -16, -1, 9, -1 )	195
(9, -1, 9, -1, -16, 12, -18, 12, 12, 2, 12, -3, -13, -3, -13, -3, -13, -3, -13, 12, -18, 12, 12, 2, 12, -16, 9, -1, 9, -1 )	196
(9, 9, -16, -1, -1, -18, -3, -3, 12, 12, -13, 12, 12, -13, 2, -18, -3, 12, 12, -3, 12, 12, -13, -13, 2, 9, 9, -16, -1, -1 )	197
(9, 9, -1, -16, -1, -18, 12, 12, -3, -3, -13, 12, 12, 2, -13, -3, -18, 12, 12, -3, -13, -13, 12, 12, 2, 9, -16, 9, -1, -1 )	198
(9, 9, -1, -1, -16, -18, 12, 12, 12, 12, 2, -3, -3, -13, -13, -3, -3, -13, -13, -18, 12, 12, 12, 12, 2, -16, 9, 9, -1, -1 )	199
(-14, -4, -4, 11, 11, -14, -14, -4, 1, 11, 11, 1, 11, 11, -14, -2, 13, 13, -17, 13, 13, -17, -12, -2, -2, 13, 13, -12, -12, -2 )	200
(-14, -4, 11, -4, 11, -14, 1, 11, -14, -4, 11, 1, 11, -14, 11, 13, -2, 13, -17, 13, -12, -2, 13, -17, -2, 13, -12, 13, -12, -2 )	201
(-14, -4, 11, 11, -4, -14, 1, 11, 1, 11, -14, -14, -4, 11, 11, 13, 13, -12, -2, -2, 13, -17, 13, -17, -2, -12, 13, 13, -12, -2 )	202
(-14, 11, -4, -4, 11, 1, -14, 11, -14, 11, -4, 1, -14, 11, 11, 13, 13, -2, -17, -12, 13, -2, 13, -2, -17, 13, -12, -12, 13, -2 )	203
(-14, 11, -4, 11, -4, 1, -14, 11, 1, -14, 11, -14, 11, -4, 11, 13, -12, 13, -2, 13, -2, -17, 13, -2, -17, -12, 13, -12, 13, -2 )	204
(-14, 11, 11, -4, -4, 1, 1, -14, -14, 11, 11, -14, 11, 11, -4, -12, 13, 13, -2, 13, 13, -2, -2, -17, -17, -12, -12, 13, 13, -2 )	205
(-12, -12, -2, 13, 13, -12, -2, -2, 13, 13, -17, 13, 13, -17, -2, -14, 1, 11, 11, 1, 11, 11, -14, -14, -4, 11, 11, -14, -4, -4 )	206
(-12, -12, 13, -2, 13, -12, 13, 13, -2, -2, -17, 13, 13, -2, -17, 1, -14, 11, 11, 1, -14, -14, 11, 11, -4, 11, -14, 11, -4, -4 )	207
(-12, -12, 13, 13, -2, -12, 13, 13, 13, 13, -2, -2, -2, -17, -17, 1, 1, -14, -14, -14, 11, 11, 11, 11, -4, -14, 11, 11, -4, -4 )	208
(-12, -2, -12, 13, 13, -2, -12, -2, 13, -17, 13, 13, -17, 13, -2, -14, 11, 1, 11, 11, 1, 11, -14, -4, -14, 11, 11, -4, -14, -4 )	209
(-12, -2, 13, -12, 13, -2, 13, -17, -12, -2, 13, 13, -17, -2, 13, 11, -14, 1, 11, 11, -14, -4, 1, 11, -14, 11, -4, 11, -14, -4 )	210
(-12, -2, 13, 13, -12, -2, 13, -17, 13, -17, -2, -12, -2, 13, 13, 11, 11, -14, -4, -14, 1, 11, 1, 11, -14, -4, 11, 11, -14, -4 )	211
(-12, 13, -12, -2, 13, 13, -12, 13, -2, -17, -2, 13, -2, 13, -17, 1, 11, -14, 11, -14, 1, -14, 11, -4, 11, 11, -14, -4, 11, -4 )	212
(-12, 13, -12, 13, -2, 13, -12, 13, 13, -2, 13, -2, -17, -2, -17, 1, -14, 1, -14, 11, -14, 11, 11, -4, 11, -14, 11, -4, 11, -4 )	213
(-12, 13, -2, -12, 13, 13, -2, -17, -12, 13, -2, 13, -2, -17, 13, 11, 1, -14, 11, -14, 11, -4, 1, -14, 11, 11, -4, -14, 11, -4 )	214
(-12, 13, -2, 13, -12, 13, -2, -17, 13, -2, -17, -12, 13, -2, 13, 11, -14, 11, -4, 1, -14, 11, 1, -14, 11, -4, 11, -14, 11, -4 )	215
(-12, 13, 13, -12, -2, 13, 13, -2, -12, 13, 13, -2, -17, -17, -2, -14, 1, 1, -14, 11, 11, -4, -14, 11, 11, -14, -4, 11, 11, -4 )	216
(-12, 13, 13, -2, -12, 13, 13, -2, -2, -17, -17, -12, 13, 13, -2, -14, 11, 11, -4, 1, 1, -14, -14, 11, 11, -4, -14, 11, 11, -4 )	217
(-4, -14, -4, 11, 11, -14, -4, -14, 11, 1, 11, 11, 1, 11, -14, -2, 13, -17, 13, 13, -17, 13, -2, -12, -2, 13, 13, -12, -2, -12 )	218
(-4, -14, 11, -4, 11, -14, 11, 1, -4, -14, 11, 11, 1, -14, 11, 13, -2, -17, 13, 13, -2, -12, -17, 13, -2, 13, -12, 13, -2, -12 )	219
(-4, -14, 11, 11, -4, -14, 11, 1, 11, 1, -14, -4, -14, 11, 11, 13, 13, -2, -12, -2, -17, 13, -17, 13, -2, -12, 13, 13, -2, -12 )	220
(-4, -4, -14, 11, 11, -4, -14, -14, 11, 11, 1, 11, 11, 1, -14, -2, -17, 13, 13, -17, 13, 13, -2, -2, -12, 13, 13, -2, -12, -12 )	221
(-4, -4, 11, -14, 11, -4, 11, 11, -14, -14, 1, 11, 11, -14, 1, -17, -2, 13, 13, -17, -2, -2, 13, 13, -12, 13, -2, 13, -12, -12 )	222
(-4, -4, 11, 11, -14, -4, 11, 11, 11, 11, -14, -14, -14, 1, 1, -17, -17, -2, -2, -2, 13, 13, 13, 13, -12, -2, 13, 13, -12, -12 )	223
(-4, 11, -14, -4, 11, 11, -14, 1, -4, 11, -14, 11, -14, 1, 11, 13, -17, -2, 13, -2, 13, -12, -17, -2, 13, 13, -12, -2, 13, -12 )	224
(-4, 11, -14, 11, -4, 11, -14, 1, 11, -14, 1, -4, 11, -14, 11, 13, -2, 13, -12, -17, -2, 13, -17, -2, 13, -12, 13, -2, 13, -12 )	225
(-4, 11, -4, -14, 11, 11, -4, 11, -14, 1, -14, 11, -14, 11, 1, -17, 13, -2, 13, -2, -17, -2, 13, -12, 13, 13, -2, -12, 13, -12 )	226
(-4, 11, -4, 11, -14, 11, -4, 11, 11, -14, 11, -14, 1, -14, 1, -17, -2, -17, -2, 13, -2, 13, 13, -12, 13, -2, 13, -12, 13, -12 )	227
(-4, 11, 11, -14, -4, 11, 11, -14, -14, 1, 1, -4, 11, 11, -14, -2, 13, 13, -12, -17, -17, -2, -2, 13, 13, -12, -2, 13, 13, -12 )	228
(-4, 11, 11, -4, -14, 11, 11, -14, -4, 11, 11, -14, 1, 1, -14, -2, -17, -17, -2, 13, 13, -12, -2, 13, 13, -2, -12, 13, 13, -12 )	229
(-2, -12, -12, 13, 13, -2, -2, -12, -17, 13, 13, -17, 13, 13, -2, -14, 11, 11, 1, 11, 11, 1, -4, -14, -14, 11, 11, -4, -4, -14 )	230
(-2, -12, 13, -12, 13, -2, -17, 13, -2, -12, 13, -17, 13, -2, 13, 11, -14, 11, 1, 11, -4, -14, 11, 1, -14, 11, -4, 11, -4, -14 )	231
(-2, -12, 13, 13, -12, -2, -17, 13, -17, 13, -2, -2, -12, 13, 13, 11, 11, -4, -14, -14, 11, 1, 11, 1, -14, -4, 11, 11, -4, -14 )	232
(-2, 13, -12, -12, 13, -17, -2, 13, -2, 13, -12, -17, -2, 13, 13, 11, 11, -14, 1, -4, 11, -14, 11, -14, 1, 11, -4, -4, 11, -14 )	233
(-2, 13, -12, 13, -12, -17, -2, 13, -17, -2, 13, -2, 13, -12, 13, 11, -4, 11, -14, 11, -14, 1, 11, -14, 1, -4, 11, -4, 11, -14 )	234
(-2, 13, 13, -12, -12, -17, -17, -2, -2, 13, 13, -2, 13, 13, -12, -4, 11, 11, -14, 11, 11, -14, -14, 1, 1, -4, -4, 11, 11, -14 )	235
(11, -14, -4, -4, 11, 1, 11, -14, 11, -14, -4, -14, 1, 11, 11, 13, 13, -17, -2, -12, -2, 13, -2, 13, -17, 13, -12, -12, -2, 13 )	236
(11, -14, -4, 11, -4, 1, 11, -14, -14, 1, 11, 11, -14, -4, 11, 13, -12, -2, 13, 13, -17, -2, -2, 13, -17, -12, 13, -12, -2, 13 )	237
(11, -14, 11, -4, -4, 1, -14, 1, 11, -14, 11, 11, -14, 11, -4, -12, 13, -2, 13, 13, -2, 13, -17, -2, -17, -12, -12, 13, -2, 13 )	238
(11, -4, -14, -4, 11, 11, 1, -14, 11, -4, -14, -14, 11, 1, 11, 13, -17, 13, -2, -2, -12, 13, -2, -17, 13, 13, -12, -2, -12, 13 )	239
(11, -4, -14, 11, -4, 11, 1, -14, -14, 11, 1, 11, -4, -14, 11, 13, -2, -12, 13, -17, 13, -2, -2, -17, 13, -12, 13, -2, -12, 13 )	240
(11, -4, -4, -14, 11, 11, 11, -4, 1, -14, -14, -14, 11, 11, 1, -17, 13, 13, -2, -2, -2, -17, -12, 13, 13, 13, -2, -12, -12, 13 )	241
(11, -4, -4, 11, -14, 11, 11, -4, -14, 11, 11, 1, -14, -14, 1, -17, -2, -2, -17, 13, 13, -2, -12, 13, 13, -2, 13, -12, -12, 13 )	242
(11, -4, 11, -14, -4, 11, -14, 11, 1, -14, 1, 11, -4, 11, -14, -2, 13, -12, 13, -17, -2, -17, 13, -2, 13, -12, -2, 13, -12, 13 )	243
(11, -4, 11, -4, -14, 11, -14, 11, 11, -4, 11, 1, -14, 1, -14, -2, -17, -2, -17, 13, -12, 13, 13, -2, 13, -2, -12, 13, -12, 13 )	244
(11, 11, -14, -4, -4, -14, 1, 1, 11, 11, -14, 11, 11, -14, -4, -12, -2, 13, 13, -2, 13, 13, -17, -17, -2, -12, -12, -2, 13, 13 )	245
(11, 11, -4, -14, -4, -14, 11, 11, 1, 1, -14, 11, 11, -4, -14, -2, -12, 13, 13, -2, -17, -17, 13, 13, -2, -12, -2, -12, 13, 13 )	246
(11, 11, -4, -4, -14, -14, 11, 11, 11, 11, -4, 1, 1, -14, -14, -2, -2, -17, -17, -12, 13, 13, 13, 13, -2, -2, -12, -12, 13, 13 )	247
(13, -12, -12, -2, 13, 13, 13, -12, -17, -2, -2, -2, 13, 13, -17, 1, 11, 11, -14, -14, -14, 1, -4, 11, 11, 11, -14, -4, -4, 11 )	248
(13, -12, -12, 13, -2, 13, 13, -12, -2, 13, 13, -17, -2, -2, -17, 1, -14, -14, 1, 11, 11, -14, -4, 11, 11, -14, 11, -4, -4, 11 )	249
(13, -12, -2, -12, 13, 13, -17, -2, 13, -12, -2, -2, 13, -17, 13, 11, 1, 11, -14, -14, -4, 11, -14, 1, 11, 11, -4, -14, -4, 11 )	250
(13, -12, -2, 13, -12, 13, -17, -2, -2, 13, -17, 13, -12, -2, 13, 11, -14, -4, 11, 1, 11, -14, -14, 1, 11, -4, 11, -14, -4, 11 )	251
(13, -12, 13, -12, -2, 13, -2, 13, 13, -12, 13, -17, -2, -17, -2, -14, 1, -14, 1, 11, -4, 11, 11, -14, 11, -14, -4, 11, -4, 11 )	252
(13, -12, 13, -2, -12, 13, -2, 13, -17, -2, -17, 13, -12, 13, -2, -14, 11, -4, 11, 1, -14, 1, 11, -14, 11, -4, -14, 11, -4, 11 )	253
(13, -2, -12, -12, 13, -17, 13, -2, 13, -2, -12, -2, -17, 13, 13, 11, 11, 1, -14, -4, -14, 11, -14, 11, 1, 11, -4, -4, -14, 11 )	254
(13, -2, -12, 13, -12, -17, 13, -2, -2, -17, 13, 13, -2, -12, 13, 11, -4, -14, 11, 11, 1, -14, -14, 11, 1, -4, 11, -4, -14, 11 )	255
(13, -2, 13, -12, -12, -17, -2, -17, 13, -2, 13, 13, -2, 13, -12, -4, 11, -14, 11, 11, -14, 11, 1, -14, 1, -4, -4, 11, -14, 11 )	256
(13, 13, -12, -12, -2, -2, 13, 13, 13, 13, -12, -17, -17, -2, -2, -14, -14, 1, 1, -4, 11, 11, 11, 11, -14, -14, -4, -4, 11, 11 )	257
(13, 13, -12, -2, -12, -2, 13, 13, -17, -17, -2, 13, 13, -12, -2, -14, -4, 11, 11, -14, 1, 1, 11, 11, -14, -4, -14, -4, 11, 11 )	258
(13, 13, -2, -12, -12, -2, -17, -17, 13, 13, -2, 13, 13, -2, -12, -4, -14, 11, 11, -14, 11, 11, 1, 1, -14, -4, -4, -14, 11, 11 )	259
(-17, -17, -2, 18, 18, -18, -3, -3, 17, 17, -8, 17, 17, -8, -28, -20, 0, 15, 15, 0, 15, 15, -5, -5, -30, 6, 6, -14, 1, 1 )	260
(-17, -17, 18, -2, 18, -18, 17, 17, -3, -3, -8, 17, 17, -28, -8, 0, -20, 15, 15, 0, -5, -5, 15, 15, -30, 6, -14, 6, 1, 1 )	261
(-17, -17, 18, 18, -2, -18, 17, 17, 17, 17, -28, -3, -3, -8, -8, 0, 0, -5, -5, -20, 15, 15, 15, 15, -30, -14, 6, 6, 1, 1 )	262
(-17, -2, -17, 18, 18, -3, -18, -3, 17, -8, 17, 17, -8, 17, -28, -20, 15, 0, 15, 15, 0, 15, -5, -30, -5, 6, 6, 1, -14, 1 )	263
(-17, -2, 18, -17, 18, -3, 17, -8, -18, -3, 17, 17, -8, -28, 17, 15, -20, 0, 15, 15, -5, -30, 0, 15, -5, 6, 1, 6, -14, 1 )	264
(-17, -2, 18, 18, -17, -3, 17, -8, 17, -8, -28, -18, -3, 17, 17, 15, 15, -5, -30, -20, 0, 15, 0, 15, -5, 1, 6, 6, -14, 1 )	265
(-17, 18, -17, -2, 18, 17, -18, 17, -3, -8, -3, 17, -28, 17, -8, 0, 15, -20, 15, -5, 0, -5, 15, -30, 15, 6, -14, 1, 6, 1 )	266
(-17, 18, -17, 18, -2, 17, -18, 17, 17, -28, 17, -3, -8, -3, -8, 0, -5, 0, -5, 15, -20, 15, 15, -30, 15, -14, 6, 1, 6, 1 )	267
(-17, 18, -2, -17, 18, 17, -3, -8, -18, 17, -3, 17, -28, -8, 17, 15, 0, -20, 15, -5, 15, -30, 0, -5, 15, 6, 1, -14, 6, 1 )	268
(-17, 18, -2, 18, -17, 17, -3, -8, 17, -28, -8, -18, 17, -3, 17, 15, -5, 15, -30, 0, -20, 15, 0, -5, 15, 1, 6, -14, 6, 1 )	269
(-17, 18, 18, -17, -2, 17, 17, -28, -18, 17, 17, -3, -8, -8, -3, -5, 0, 0, -5, 15, 15, -30, -20, 15, 15, -14, 1, 6, 6, 1 )	270
(-17, 18, 18, -2, -17, 17, 17, -28, -3, -8, -8, -18, 17, 17, -3, -5, 15, 15, -30, 0, 0, -5, -20, 15, 15, 1, -14, 6, 6, 1 )	271
(-14, 1, 1, 6, 6, -5, -5, -30, 0, 15, 15, 0, 15, 15, -20, -28, 17, 17, -8, 17, 17, -8, -18, -3, -3, 18, 18, -17, -17, -2 )	272
(-14, 1, 6, 1, 6, -5, 0, 15, -5, -30, 15, 0, 15, -20, 15, 17, -28, 17, -8, 17, -18, -3, 17, -8, -3, 18, -17, 18, -17, -2 )	273
(-14, 1, 6, 6, 1, -5, 0, 15, 0, 15, -20, -5, -30, 15, 15, 17, 17, -18, -3, -28, 17, -8, 17, -8, -3, -17, 18, 18, -17, -2 )	274
(-14, 6, 1, 1, 6, 0, -5, 15, -5, 15, -30, 0, -20, 15, 15, 17, 17, -28, -8, -18, 17, -3, 17, -3, -8, 18, -17, -17, 18, -2 )	275
(-14, 6, 1, 6, 1, 0, -5, 15, 0, -20, 15, -5, 15, -30, 15, 17, -18, 17, -3, 17, -28, -8, 17, -3, -8, -17, 18, -17, 18, -2 )	276
(-14, 6, 6, 1, 1, 0, 0, -20, -5, 15, 15, -5, 15, 15, -30, -18, 17, 17, -3, 17, 17, -3, -28, -8, -8, -17, -17, 18, 18, -2 )	277
(-2, -17, -17, 18, 18, -3, -3, -18, -8, 17, 17, -8, 17, 17, -28, -20, 15, 15, 0, 15, 15, 0, -30, -5, -5, 6, 6, 1, 1, -14 )	278
(-2, -17, 18, -17, 18, -3, -8, 17, -3, -18, 17, -8, 17, -28, 17, 15, -20, 15, 0, 15, -30, -5, 15, 0, -5, 6, 1, 6, 1, -14 )	279
(-2, -17, 18, 18, -17, -3, -8, 17, -8, 17, -28, -3, -18, 17, 17, 15, 15, -30, -5, -20, 15, 0, 15, 0, -5, 1, 6, 6, 1, -14 )	280
(-2, 18, -17, -17, 18, -8, -3, 17, -3, 17, -18, -8, -28, 17, 17, 15, 15, -20, 0, -30, 15, -5, 15, -5, 0, 6, 1, 1, 6, -14 )	281
(-2, 18, -17, 18, -17, -8, -3, 17, -8, -28, 17, -3, 17, -18, 17, 15, -30, 15, -5, 15, -20, 0, 15, -5, 0, 1, 6, 1, 6, -14 )	282
(-2, 18, 18, -17, -17, -8, -8, -28, -3, 17, 17, -3, 17, 17, -18, -30, 15, 15, -5, 15, 15, -5, -20, 0, 0, 1, 1, 6, 6, -14 )	283
(1, -14, 1, 6, 6, -5, -30, -5, 15, 0, 15, 15, 0, 15, -20, -28, 17, -8, 17, 17, -8, 17, -3, -18, -3, 18, 18, -17, -2, -17 )	284
(1, -14, 6, 1, 6, -5, 15, 0, -30, -5, 15, 15, 0, -20, 15, 17, -28, -8, 17, 17, -3, -18, -8, 17, -3, 18, -17, 18, -2, -17 )	285
(1, -14, 6, 6, 1, -5, 15, 0, 15, 0, -20, -30, -5, 15, 15, 17, 17, -3, -18, -28, -8, 17, -8, 17, -3, -17, 18, 18, -2, -17 )	286
(1, 1, -14, 6, 6, -30, -5, -5, 15, 15, 0, 15, 15, 0, -20, -28, -8, 17, 17, -8, 17, 17, -3, -3, -18, 18, 18, -2, -17, -17 )	287
(1, 1, 6, -14, 6, -30, 15, 15, -5, -5, 0, 15, 15, -20, 0, -8, -28, 17, 17, -8, -3, -3, 17, 17, -18, 18, -2, 18, -17, -17 )	288
(1, 1, 6, 6, -14, -30, 15, 15, 15, 15, -20, -5, -5, 0, 0, -8, -8, -3, -3, -28, 17, 17, 17, 17, -18, -2, 18, 18, -17, -17 )	289
(1, 6, -14, 1, 6, 15, -5, 0, -30, 15, -5, 15, -20, 0, 15, 17, -8, -28, 17, -3, 17, -18, -8, -3, 17, 18, -17, -2, 18, -17 )	290
(1, 6, -14, 6, 1, 15, -5, 0, 15, -20, 0, -30, 15, -5, 15, 17, -3, 17, -18, -8, -28, 17, -8, -3, 17, -17, 18, -2, 18, -17 )	291
(1, 6, 1, -14, 6, 15, -30, 15, -5, 0, -5, 15, -20, 15, 0, -8, 17, -28, 17, -3, -8, -3, 17, -18, 17, 18, -2, -17, 18, -17 )	292
(1, 6, 1, 6, -14, 15, -30, 15, 15, -20, 15, -5, 0, -5, 0, -8, -3, -8, -3, 17, -28, 17, 17, -18, 17, -2, 18, -17, 18, -17 )	293
(1, 6, 6, -14, 1, 15, 15, -20, -5, 0, 0, -30, 15, 15, -5, -3, 17, 17, -18, -8, -8, -3, -28, 17, 17, -17, -2, 18, 18, -17 )	294
(1, 6, 6, 1, -14, 15, 15, -20, -30, 15, 15, -5, 0, 0, -5, -3, -8, -8, -3, 17, 17, -18, -28, 17, 17, -2, -17, 18, 18, -17 )	295
(6, -14, 1, 1, 6, 0, 15, -5, 15, -5, -30, -20, 0, 15, 15, 17, 17, -8, -28, -18, -3, 17, -3, 17, -8, 18, -17, -17, -2, 18 )	296
(6, -14, 1, 6, 1, 0, 15, -5, -20, 0, 15, 15, -5, -30, 15, 17, -18, -3, 17, 17, -8, -28, -3, 17, -8, -17, 18, -17, -2, 18 )	297
(6, -14, 6, 1, 1, 0, -20, 0, 15, -5, 15, 15, -5, 15, -30, -18, 17, -3, 17, 17, -3, 17, -8, -28, -8, -17, -17, 18, -2, 18 )	298
(6, 1, -14, 1, 6, 15, 0, -5, 15, -30, -5, -20, 15, 0, 15, 17, -8, 17, -28, -3, -18, 17, -3, -8, 17, 18, -17, -2, -17, 18 )	299
(6, 1, -14, 6, 1, 15, 0, -5, -20, 15, 0, 15, -30, -5, 15, 17, -3, -18, 17, -8, 17, -28, -3, -8, 17, -17, 18, -2, -17, 18 )	300
(6, 1, 1, -14, 6, 15, 15, -30, 0, -5, -5, -20, 15, 15, 0, -8, 17, 17, -28, -3, -3, -8, -18, 17, 17, 18, -2, -17, -17, 18 )	301
(6, 1, 1, 6, -14, 15, 15, -30, -20, 15, 15, 0, -5, -5, 0, -8, -3, -3, -8, 17, 17, -28, -18, 17, 17, -2, 18, -17, -17, 18 )	302
(6, 1, 6, -14, 1, 15, -20, 15, 0, -5, 0, 15, -30, 15, -5, -3, 17, -18, 17, -8, -3, -8, 17, -28, 17, -17, -2, 18, -17, 18 )	303
(6, 1, 6, 1, -14, 15, -20, 15, 15, -30, 15, 0, -5, 0, -5, -3, -8, -3, -8, 17, -18, 17, 17, -28, 17, -2, -17, 18, -17, 18 )	304
(6, 6, -14, 1, 1, -20, 0, 0, 15, 15, -5, 15, 15, -5, -30, -18, -3, 17, 17, -3, 17, 17, -8, -8, -28, -17, -17, -2, 18, 18 )	305
(6, 6, 1, -14, 1, -20, 15, 15, 0, 0, -5, 15, 15, -30, -5, -3, -18, 17, 17, -3, -8, -8, 17, 17, -28, -17, -2, -17, 18, 18 )	306
(6, 6, 1, 1, -14, -20, 15, 15, 15, 15, -30, 0, 0, -5, -5, -3, -3, -8, -8, -18, 17, 17, 17, 17, -28, -2, -17, -17, 18, 18 )	307
(18, -17, -17, -2, 18, 17, 17, -18, -8, -3, -3, -28, 17, 17, -8, 0, 15, 15, -20, -5, -5, 0, -30, 15, 15, 6, -14, 1, 1, 6 )	308
(18, -17, -17, 18, -2, 17, 17, -18, -28, 17, 17, -8, -3, -3, -8, 0, -5, -5, 0, 15, 15, -20, -30, 15, 15, -14, 6, 1, 1, 6 )	309
(18, -17, -2, -17, 18, 17, -8, -3, 17, -18, -3, -28, 17, -8, 17, 15, 0, 15, -20, -5, -30, 15, -5, 0, 15, 6, 1, -14, 1, 6 )	310
(18, -17, -2, 18, -17, 17, -8, -3, -28, 17, -8, 17, -18, -3, 17, 15, -5, -30, 15, 0, 15, -20, -5, 0, 15, 1, 6, -14, 1, 6 )	311
(18, -17, 18, -17, -2, 17, -28, 17, 17, -18, 17, -8, -3, -8, -3, -5, 0, -5, 0, 15, -30, 15, 15, -20, 15, -14, 1, 6, 1, 6 )	312
(18, -17, 18, -2, -17, 17, -28, 17, -8, -3, -8, 17, -18, 17, -3, -5, 15, -30, 15, 0, -5, 0, 15, -20, 15, 1, -14, 6, 1, 6 )	313
(18, -2, -17, -17, 18, -8, 17, -3, 17, -3, -18, -28, -8, 17, 17, 15, 15, 0, -20, -30, -5, 15, -5, 15, 0, 6, 1, 1, -14, 6 )	314
(18, -2, -17, 18, -17, -8, 17, -3, -28, -8, 17, 17, -3, -18, 17, 15, -30, -5, 15, 15, 0, -20, -5, 15, 0, 1, 6, 1, -14, 6 )	315
(18, -2, 18, -17, -17, -8, -28, -8, 17, -3, 17, 17, -3, 17, -18, -30, 15, -5, 15, 15, -5, 15, 0, -20, 0, 1, 1, 6, -14, 6 )	316
(18, 18, -17, -17, -2, -28, 17, 17, 17, 17, -18, -8, -8, -3, -3, -5, -5, 0, 0, -30, 15, 15, 15, 15, -20, -14, 1, 1, 6, 6 )	317
(18, 18, -17, -2, -17, -28, 17, 17, -8, -8, -3, 17, 17, -18, -3, -5, -30, 15, 15, -5, 0, 0, 15, 15, -20, 1, -14, 1, 6, 6 )	318
(18, 18, -2, -17, -17, -28, -8, -8, 17, 17, -3, 17, 17, -3, -18, -30, -5, 15, 15, -5, 15, 15, 0, 0, -20, 1, 1, -14, 6, 6 )	319

Trop(Flag₅) contains an eight-dimensional linear subspace generated by
(1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, -1, 0, 0, 0, -1, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, -1),
(0, 1, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, -1, -1, 0, 0, -1, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, -1, 0),
(0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, -1, 0, 0),
(0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, -1, 0, 0, 0),
(0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1),
(0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0),
(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1).

To compute Trop(Flag₅) using gfan and the Macaulay2 package Tropical we had to implement symmetries among the generators. This is given by the action of the symmetric group on the indexing sets of Plücker coordinates and addtionally a Z₂-action sending a Plücker coordinate p_I to p_[n]-I. The file Trop(Flag5).txt contains the gfan output, i.e. a list of all maximal cones and the orbits with respect to the given symmetries. There are 536 orbits, among those 531 yield binomial initial ideals. Among the 531 orbits, 180 yield prime initial ideals.

For each of the 180 prime cone orbits we computed the Newton-Okounkov polytope of the toric degeneration as described by Kaveh and Manon here. The F-vectors of these polytopes can be found in the table below. Further, we compared these polytopes to string polytopes and the FFLV polytope for the dominant weight rho. These polytopes parametrize vector space bases of the irreducible highest weight representation of highest weight rho for the Lie algebra sl₅. They give toric degenerations of Flag₅. To compute combinatorial equivalence between these polytopes we used polymake. The string and FFLV polytopes in polymake code can be found here.

Orbit	F-vector of Newton-Okounkov polytope	Combinatorial equivalences
0	475 2956 8417 14241 15690 11643 5820 1899 374 37
1	456 2799 7843 13023 14038 10159 4938 1565 301 30
2	425 2573 7108 11626 12333 8779 4201 1316 253 26
3	393 2313 6200 9833 10125 7021 3297 1027 201 22
4	433 2621 7230 11796 12473 8847 4219 1318 253 26
5	435 2630 7246 11810 12479 8848 4219 1318 253 26
6	425 2553 6988 11317 11888 8388 3987 1245 240 25
7	450 2751 7677 12699 13648 9863 4800 1529 297 30
8	435 2630 7246 11810 12479 8848 4219 1318 253 26
9	419 2522 6922 11243 11842 8373 3985 1245 240 25
10	453 2785 7817 12999 14027 10157 4938 1565 301 30
11	463 2885 8237 13987 15474 11532 5788 1895 374 37
12	463 2852 8020 13365 14459 10501 5121 1627 313 31
13	457 2840 8078 13638 14954 10996 5413 1726 330 32
14	454 2819 8016 13540 14870 10968 5427 1744 337 33
15	445 2748 7770 13050 14254 10464 5161 1658 322 32
16	441 2681 7438 12228 13056 9369 4525 1430 276 28
17	440 2704 7602 12684 13752 10014 4897 1560 301 30
18	471 2923 8298 13995 15369 11369 5667 1845 363 36
19	464 2883 8200 13861 15258 11313 5651 1843 363 36
20	467 2911 8309 14097 15574 11586 5804 1897 374 37
21	461 2876 8225 13993 15509 11575 5814 1903 375 37
22	397 2363 6416 10313 10755 7536 3561 1109 215 23
23	437 2669 7447 12319 13236 9556 4642 1475 286 29
24	425 2553 6988 11317 11888 8388 3987 1245 240 25
25	415 2498 6861 11158 11772 8339 3976 1244 240 25
26	470 2942 8436 14377 15944 11889 5955 1939 379 37
27	460 2856 8109 13656 14929 10944 5374 1712 328 32
28	449 2741 7634 12594 13487 9702 4695 1486 287 29
29	427 2592 7181 11778 12523 8926 4270 1334 255 26
30	425 2573 7108 11626 12333 8779 4201 1316 253 26	FFLV
31	443 2708 7557 12495 13411 9667 4686 1485 287 29
32	397 2363 6416 10313 10755 7536 3561 1109 215 23	S22
33	425 2553 6988 11317 11888 8388 3987 1245 240 25
34	419 2522 6922 11243 11842 8373 3985 1245 240 25
35	405 2407 6518 10442 10851 7578 3571 1110 215 23
36	401 2387 6477 10398 10825 7570 3570 1110 215 23
37	368 2154 5755 9111 9373 6497 3052 953 188 21	S21
38	379 2214 5892 9280 9494 6547 3063 954 188 21	S27, S28
39	393 2313 6200 9833 10125 7021 3297 1027 201 22
40	358 2069 5453 8516 8653 5941 2778 870 174 20	S1, S18, S26, S29 (Gelfand-Tsetlin)
41	459 2851 8111 13720 15118 11223 5614 1834 362 36
42	467 2913 8322 14133 15629 11636 5831 1905 375 37
43	423 2562 7083 11596 12313 8772 4200 1316 253 26
44	425 2573 7108 11626 12333 8779 4201 1316 253 26	S24
45	397 2363 6416 10313 10755 7536 3561 1109 215 23	S23
46	461 2876 8225 13993 15509 11575 5814 1903 375 37
47	400 2366 6377 10175 10546 7363 3480 1089 213 23
48	393 2313 6200 9833 10125 7021 3297 1027 201 22
49	393 2313 6200 9833 10125 7021 3297 1027 201 22
50	379 2214 5892 9280 9494 6547 3063 954 188 21	S2, S19
51	426 2599 7257 12034 12981 9420 4602 1470 286 29
52	428 2594 7176 11761 12514 8947 4307 1359 263 27
53	419 2522 6922 11243 11842 8373 3985 1245 240 25
54	466 2917 8371 14288 15879 11870 5960 1944 380 37
55	443 2729 7692 12867 13982 10197 4987 1585 304 30
56	453 2787 7826 13011 14021 10122 4895 1539 293 29
57	469 2926 8358 14188 15679 11663 5839 1906 375 37
58	458 2825 7958 13286 14398 10472 5113 1626 313 31
59	472 2949 8435 14335 15854 11796 5902 1923 377 37
60	440 2704 7602 12684 13752 10014 4897 1560 301 30
61	472 2967 8561 14720 16525 12526 6410 2144 432 43
62	457 2842 8099 13726 15153 11266 5640 1842 363 36
63	465 2902 8296 14096 15588 11594 5795 1884 368 36
64	459 2851 8111 13720 15118 11223 5614 1834 362 36
65	428 2608 7269 12028 12946 9377 4576 1462 285 29
66	441 2681 7438 12228 13056 9369 4525 1430 276 28
67	418 2510 6876 11157 11753 8321 3969 1243 240 25
68	406 2442 6713 10943 11587 8245 3950 1241 240 25
69	373 2199 5926 9474 9849 6897 3267 1024 201 22
70	427 2586 7144 11681 12383 8806 4209 1317 253 26
71	451 2781 7840 13111 14243 10390 5089 1623 313 31
72	440 2704 7602 12684 13752 10014 4897 1560 301 30
73	406 2442 6713 10943 11587 8245 3950 1241 240 25
74	448 2764 7800 13061 14208 10377 5087 1623 313 31
75	462 2873 8181 13846 15258 11321 5656 1844 363 36
76	457 2842 8099 13726 15153 11266 5640 1842 363 36
77	469 2927 8364 14203 15699 11678 5845 1907 375 37
78	454 2802 7903 13216 14348 10453 5110 1626 313 31
79	451 2787 7879 13221 14419 10565 5200 1667 323 32
80	441 2705 7584 12611 13622 9885 4823 1537 298 30
81	454 2803 7914 13263 14455 10598 5231 1687 330 33
82	441 2697 7532 12465 13391 9660 4685 1485 287 29
83	445 2721 7593 12550 13461 9694 4694 1486 287 29
84	441 2697 7532 12465 13391 9660 4685 1485 287 29
85	445 2725 7617 12611 13546 9764 4728 1495 288 29
86	397 2363 6416 10313 10755 7536 3561 1109 215 23
87	368 2154 5755 9111 9373 6497 3052 953 188 21	S5, S31
88	452 2801 7946 13385 14654 10771 5309 1699 327 32
89	430 2624 7318 12097 12974 9329 4497 1411 269 27
90	456 2834 8071 13670 15083 11210 5612 1834 362 36
91	432 2633 7332 12104 12975 9341 4521 1430 276 28
92	467 2919 8359 14230 15769 11756 5892 1922 377 37
93	456 2834 8071 13670 15083 11210 5612 1834 362 36
94	426 2597 7244 11998 12926 9370 4575 1462 285 29
95	440 2708 7630 12769 13898 10169 5001 1603 311 31
96	432 2633 7332 12104 12975 9341 4521 1430 276 28
97	412 2479 6810 11083 11707 8306 3967 1243 240 25
98	415 2511 6945 11391 12133 8679 4174 1313 253 26
99	458 2845 8092 13676 15042 11132 5543 1800 353 35
100	437 2669 7447 12319 13236 9556 4642 1475 286 29
101	441 2703 7569 12562 13531 9780 4746 1502 289 29
102	427 2586 7144 11681 12383 8806 4209 1317 253 26
103	419 2522 6922 11243 11842 8373 3985 1245 240 25
104	437 2669 7447 12319 13236 9556 4642 1475 286 29
105	411 2470 6776 11012 11617 8235 3933 1234 239 25
106	413 2483 6808 11043 11606 8177 3871 1201 230 24
107	425 2553 6988 11317 11888 8388 3987 1245 240 25
108	405 2407 6518 10442 10851 7578 3571 1110 215 23
109	405 2427 6638 10751 11296 7969 3785 1181 228 24	S30
110	465 2904 8312 14152 15700 11734 5907 1940 384 38
111	464 2902 8323 14204 15795 11828 5960 1956 386 38
112	438 2690 7559 12608 13667 9952 4868 1552 300 30
113	445 2725 7617 12611 13546 9764 4728 1495 288 29
114	437 2669 7447 12319 13236 9556 4642 1475 286 29
115	411 2470 6776 11012 11617 8235 3933 1234 239 25
116	424 2574 7139 11737 12529 8983 4332 1367 264 27
117	419 2522 6922 11243 11842 8373 3985 1245 240 25
118	401 2387 6477 10398 10825 7570 3570 1110 215 23
119	405 2427 6638 10751 11296 7969 3785 1181 228 24	S6
120	464 2893 8261 14019 15483 11503 5746 1869 366 36
121	454 2806 7928 13283 14448 10543 5159 1641 315 31
122	451 2794 7928 13370 14676 10840 5387 1746 342 34
123	444 2736 7715 12915 14053 10273 5044 1613 312 31
124	466 2909 8318 14138 15644 11650 5837 1906 375 37
125	456 2815 7939 13271 14398 10480 5118 1627 313 31
126	423 2561 7078 11586 12303 8767 4199 1316 253 26
127	429 2580 7064 11429 11972 8402 3959 1221 232 24
128	431 2626 7309 12058 12915 9290 4494 1422 275 28
129	428 2602 7224 11883 12684 9087 4375 1377 265 27
130	443 2727 7679 12831 13927 10147 4960 1577 303 30
131	432 2637 7354 12152 13024 9356 4505 1412 269 27
132	451 2793 7920 13342 14620 10770 5331 1718 334 33
133	434 2632 7273 11879 12557 8883 4210 1301 246 25
134	452 2781 7813 13004 14042 10171 4944 1566 301 30
135	453 2808 7969 13433 14725 10847 5366 1727 335 33
136	451 2794 7928 13370 14676 10840 5387 1746 342 34
137	433 2646 7390 12236 13150 9482 4589 1448 278 28
138	442 2715 7629 12727 13808 10076 4948 1587 309 31
139	432 2633 7332 12104 12975 9341 4521 1430 276 28
140	423 2564 7096 11632 12368 8822 4227 1324 254 26
141	413 2483 6808 11043 11606 8177 3871 1201 230 24
142	427 2594 7196 11827 12614 9031 4347 1369 264 27
143	431 2622 7281 11973 12769 9135 4390 1379 265 27
144	431 2626 7309 12058 12915 9290 4494 1422 275 28
145	410 2459 6725 10881 11411 8029 3802 1183 228 24
146	428 2594 7176 11761 12514 8947 4307 1359 263 27
147	419 2522 6922 11243 11842 8373 3985 1245 240 25
148	451 2781 7840 13111 14243 10390 5089 1623 313 31
149	464 2900 8310 14168 15740 11778 5933 1948 385 38
150	446 2750 7757 12985 14123 10315 5058 1615 312 31
151	420 2541 7021 11496 12218 8719 4184 1314 253 26
152	441 2705 7584 12611 13622 9885 4823 1537 298 30
153	425 2575 7119 11651 12363 8799 4208 1317 253 26
154	448 2764 7801 13067 14223 10397 5102 1629 314 31
155	444 2737 7724 12949 14124 10363 5115 1647 321 32
156	452 2772 7753 12830 13755 9876 4750 1486 282 28
157	442 2706 7565 12529 13460 9696 4684 1473 281 28
158	441 2708 7602 12655 13676 9915 4821 1525 292 29
159	427 2596 7207 11850 12633 9026 4324 1350 257 26
160	452 2781 7813 13004 14042 10171 4944 1566 301 30
161	427 2586 7144 11681 12383 8806 4209 1317 253 26
162	400 2382 6467 10388 10820 7569 3570 1110 215 23
163	448 2764 7800 13061 14208 10377 5087 1623 313 31
164	470 2943 8444 14405 16000 11959 6011 1967 387 38
165	460 2857 8117 13684 14985 11014 5430 1740 336 33
166	418 2530 6996 11466 12198 8712 4183 1314 253 26
167	434 2640 7325 12025 12788 9108 4348 1353 257 26
168	425 2577 7132 11687 12418 8849 4235 1325 254 26
169	425 2581 7160 11772 12564 9004 4339 1368 264 27
170	430 2614 7255 11928 12724 9109 4382 1378 265 27
171	422 2557 7075 11597 12333 8801 4220 1323 254 26
172	411 2470 6772 10988 11556 8150 3863 1200 230 24	S7
173	427 2586 7144 11681 12383 8806 4209 1317 253 26
174	400 2382 6467 10388 10820 7569 3570 1110 215 23
175	464 2898 8295 14119 15649 11673 5856 1913 376 37
176	442 2718 7644 12754 13822 10056 4911 1562 301 30
177	440 2698 7563 12576 13587 9864 4816 1536 298 30
178	423 2562 7083 11596 12313 8772 4200 1316 253 26
179	452 2781 7813 13004 14042 10171 4944 1566 301 30

Name	reduced word	Normal	MP	Weight vector	Prime	Uni. equ.
S1	1213214321	yes	yes	w1=(0, 512, 384, 112, 0, 256, 96, 768, 608, 480, 0, 64, 320, 832, 15, 14, 526, 398, 126, 12, 268, 108, 780, 620, 492, 0, 8, 72, 328, 840)	yes	S18, S26, S29
S2	1213243212	yes	yes	w2=(0,512,384,98, 0,256,96, 768,608, 480, 0, 64,320, 832, 30,28,540, 412, 123, 24, 280, 120, 792, 632, 504, 0,16,80,336, 848)	yes	-
S3	1213432312	yes	no	w3= (0, 512, 384, 74, 0, 256, 72, 768, 584, 456, 0, 64, 320, 832, 58, 56, 568, 440, 111, 48, 304, 108, 816, 620, 492, 0, 32, 96, 352, 864)	no	-
S4	1214321432	yes	no	w4= (0, 512, 384, 56, 0, 256, 48, 768, 560, 432, 0, 32, 288, 800, 120, 112, 624, 496, 63, 96, 352, 54, 864, 566, 438, 0, 64, 36, 292, 804)	no	-
S5	1232124321	yes	yes	w5= (0, 512, 288, 224, 0, 256, 192, 768, 704, 432, 0, 128, 384, 896, 15, 14, 526, 302, 238, 12, 268, 204, 780, 716, 444, 0, 8, 136, 392, 904)	yes	-
S6	1232143213	yes	yes	w6= (0, 512, 288, 224, 0, 256, 192, 768, 704, 420, 0, 128, 384, 896, 30, 28, 540, 316, 252, 24, 280, 216, 792, 728, 437, 0, 16, 144, 400, 912)	yes	-
S7	1232432123	yes	yes	w7 = (0, 512, 260, 196, 0, 256, 192, 768, 704, 390, 0, 128, 384, 896, 60, 56, 568, 310, 246, 48, 304, 240, 816, 752, 423, 0, 32, 160, 416, 928)	yes	-
S8	1234321232	yes	no	w8= (0, 512, 264, 152, 0, 256, 144, 768, 656, 396, 0, 128, 384, 896, 120, 112, 624, 364, 219, 96, 352, 210, 864, 722, 462, 0, 64, 192, 448, 960)	no	-
S9	1234321323	yes	no	w9= (0, 512, 264, 152, 0, 256, 144, 768, 656, 394, 0, 128, 384, 896, 120, 112, 624, 362, 222, 96, 352, 212, 864, 724, 459, 0, 64, 192, 448, 960)	no	-
S10	1243212432	yes	no	w10= (0, 512, 272, 112, 0, 256, 96, 768, 608, 344, 0, 64, 320, 832, 240, 224, 736, 472, 119, 192, 448, 102, 960, 614, 350, 0, 128, 68, 324, 836)	no	-
S11	1243214323	yes	no	w11 = (0, 512, 272, 112, 0, 256, 96, 768, 608, 338, 0, 64, 320, 832, 240, 224, 736, 466, 126, 192, 448, 108, 960, 620, 347, 0, 128, 72, 328, 840)	no	-
S12	1321324321	yes	no	w12= (0, 512, 192, 448, 0, 128, 384, 640, 896, 240, 0, 256, 160, 672, 15, 14, 526, 206, 462, 12, 140, 396, 652, 908, 252, 0, 8, 264, 168, 680)	no	-
S13	1321343231	yes	no	w13= (0, 512, 192, 448, 0, 128, 384, 640, 896, 228, 0, 256, 160, 672, 29, 28, 540, 220, 476, 24, 152, 408, 664, 920, 246, 0, 16, 272, 176, 688)	no	-
S14	1321432143	yes	no	w14= (0, 512, 192, 448, 0, 128, 384, 640, 896, 216, 0, 256, 144, 656, 60, 56, 568, 248, 504, 48, 176, 432, 688, 944, 219, 0, 32, 288, 146, 658)	no	-
S15	1323432123	yes	no	w15= (0, 512, 132, 388, 0, 128, 384, 640, 896, 198, 0, 256, 192, 704, 60, 56, 568, 182, 438, 48, 176, 432, 688, 944, 231, 0, 32, 288, 224, 736)	no	-
S16	1324321243	yes	no	w16 = (0, 512, 136, 392, 0, 128, 384, 640, 896, 172, 0, 256, 160, 672, 120, 112, 624, 236, 492, 96, 224, 480, 736, 992, 175, 0, 64, 320, 162, 674)	no	-
S17	1343231243	yes	no	w17= (0, 512, 48, 304, 0, 32, 288, 544, 800, 60, 0, 256, 40, 552, 240, 224, 736, 188, 444, 192, 168, 424, 680, 936, 63, 0, 128, 384, 42, 554)	no	-
S18	2123214321	yes	yes	w18= (0, 256, 768, 112, 0, 512, 96, 384, 352, 864, 0, 64, 576, 448, 15, 14, 270, 782, 126, 12, 524, 108, 396, 364, 876, 0, 8, 72, 584, 456)	yes	S1, S26, S29
S19	2123243212	yes	yes	w19= (0, 256, 768, 98, 0, 512, 96, 384, 352, 864, 0, 64, 576, 448, 30, 28, 284, 796, 123, 24, 536, 120, 408, 376, 888, 0, 16, 80, 592, 464)	yes	-
S20	2123432132	yes	no	w20= (0, 256, 768, 76, 0, 512, 72, 384, 328, 840, 0, 64, 576, 448, 60, 56, 312, 824, 111, 48, 560, 106, 432, 362, 874, 0, 32, 96, 608, 480)	no	-
S21	2132134321	yes	yes	w21 = (0, 256, 768, 224, 0, 512, 192, 320, 448, 960, 0, 128, 640, 336, 15, 14, 270, 782, 238, 12, 524, 204, 332, 460, 972, 0, 8, 136, 648, 344)	yes	-
S22	2132143214	yes	yes	w22 = (0, 256, 768, 224, 0, 512, 192, 320, 448, 960, 0, 128, 640, 328, 30, 28, 284, 796, 252, 24, 536, 216, 344, 472, 984, 0, 16, 144, 656, 329)	yes	-
S23	2132343212	yes	yes	w23 = (0, 256, 768, 194, 0, 512, 192, 320, 448, 960, 0, 128, 640, 352, 30, 28, 284, 796, 219, 24, 536, 216, 344, 472, 984, 0, 16, 144, 656, 368)	yes	-
S24	2132432124	yes	yes	w24= (0, 256, 768, 196, 0, 512, 192, 320, 448, 960, 0, 128, 640, 336, 60, 56, 312, 824, 246, 48, 560, 240, 368, 496, 1008, 0, 32, 160, 672, 337)	yes	-
S25	2134321324	yes	no	w25= (0, 256, 768, 152, 0, 512, 144, 272, 400, 912, 0, 128, 640, 276, 120, 112, 368, 880, 222, 96, 608, 212, 340, 468, 980, 0, 64, 192, 704, 277)	no	-
S26	2321234321	yes	yes	w26= (0, 64, 576, 448, 0, 512, 384, 96, 352, 864, 0, 256, 768, 112, 15, 14, 78, 590, 462, 12, 524, 396, 108, 364, 876, 0, 8, 264, 776, 120)	yes	S1, S18, S29
S27	2321243214	yes	yes	w27= (0, 64, 576, 448, 0, 512, 384, 96, 352, 864, 0, 256, 768, 104, 30, 28, 92, 604, 476, 24, 536, 408, 120, 376, 888, 0, 16, 272, 784, 105)	yes	-
S28	2321432134	yes	yes	w28= (0, 64, 576, 448, 0, 512, 384, 72, 328, 840, 0, 256, 768, 74, 60, 56, 120, 632, 504, 48, 560, 432, 106, 362, 874, 0, 32, 288, 800, 75)	yes	-
S29	2324321234	yes	yes	w29= (0, 8, 520, 392, 0, 512, 384, 12, 268, 780, 0, 256, 768, 14, 120, 112, 108, 620, 492, 96, 608, 480, 78, 334, 846, 0, 64, 320, 832, 15)	yes	S1, S18, S26
S30	2343212324	yes	yes	w30= (0, 16, 528, 304, 0, 512, 288, 24, 280, 792, 0, 256, 768, 28, 240, 224, 216, 728, 438, 192, 704, 420, 156, 412, 924, 0, 128, 384, 896, 29)	yes	-
S31	2343213234	yes	yes	w31= (0, 16, 528, 304, 0, 512, 288, 20, 276, 788, 0, 256, 768, 22, 240, 224, 212, 724, 444, 192, 704, 424, 150, 406, 918, 0, 128, 384, 896, 23)	yes	-
FFLV	-	yes	yes	wreg=(0,4,6,6,0,3,4,6,6,9,0,2,4,6,4,3,4,7,8,2,3,5,4,6,8,0,1,2,3,4)	yes	-
FFLV	-	yes	yes	wmin=(0,3,4,3,0,2,2,4,3,5,0,1,2,3,1,1,1,3,3,1,1,2,1,2,3,0,1,1,1,1)	yes	-

Links: Macaulay2, gfan, Tropical, ToricDegenerations