# Tesseract group conjugacy classes

Aug 31st, 2019
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1. # This dictionary shows the 16*24 = 384 permutations of the tesseract in their 20 conjugacy classes.
2.
3. # size: number of permutations in the CC
4. # mininv: smallest inversion number in the CC
5. # selfinv: each permutation is self inverse
6. # selfcomp: the complement (15-m, n) of each permutation (m, n) is in the same CC
7. # transp: number of transpositions of each permutation
8. # cycles: cycle type in the form {cycle length: number of such cycles}
9. # list: dictionary with the inversion number, matrix coordinates and tuple of each permutation
10.
11. # Complementary CC are grouped together. Short separators are between CC that are not complements.
12. # Long separators are between CC of different sizes.
13.
14.
15. tesseract_conjugacy_classes = [
16.
17.     {'size': 1, 'mininv': 0, 'selfinv': True, 'selfcomp': False, 'transp': 0, 'cycles': {1: 16},
18.      'list': [{'inv': 0, 'pair': (0, 0), 'perm': (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15)}]},
19.
20.     {'size': 1, 'mininv': 120, 'selfinv': True, 'selfcomp': False, 'transp': 8, 'cycles': {2: 8},
21.      'list': [{'inv': 120, 'pair': (15, 0), 'perm': (15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0)}]},
22.
23.     ####################################################################################################################
24.
25.     {'size': 4, 'mininv': 8, 'selfinv': True, 'selfcomp': False, 'transp': 8, 'cycles': {2: 8},
26.      'list': [{'inv': 8, 'pair': (1, 0), 'perm': (1, 0, 3, 2, 5, 4, 7, 6, 9, 8, 11, 10, 13, 12, 15, 14)},
27.               {'inv': 16, 'pair': (2, 0), 'perm': (2, 3, 0, 1, 6, 7, 4, 5, 10, 11, 8, 9, 14, 15, 12, 13)},
28.               {'inv': 32, 'pair': (4, 0), 'perm': (4, 5, 6, 7, 0, 1, 2, 3, 12, 13, 14, 15, 8, 9, 10, 11)},
29.               {'inv': 64, 'pair': (8, 0), 'perm': (8, 9, 10, 11, 12, 13, 14, 15, 0, 1, 2, 3, 4, 5, 6, 7)}]},
30.
31.     {'size': 4, 'mininv': 56, 'selfinv': True, 'selfcomp': False, 'transp': 8, 'cycles': {2: 8},
32.      'list': [{'inv': 56, 'pair': (7, 0), 'perm': (7, 6, 5, 4, 3, 2, 1, 0, 15, 14, 13, 12, 11, 10, 9, 8)},
33.               {'inv': 88, 'pair': (11, 0), 'perm': (11, 10, 9, 8, 15, 14, 13, 12, 3, 2, 1, 0, 7, 6, 5, 4)},
34.               {'inv': 104, 'pair': (13, 0), 'perm': (13, 12, 15, 14, 9, 8, 11, 10, 5, 4, 7, 6, 1, 0, 3, 2)},
35.               {'inv': 112, 'pair': (14, 0), 'perm': (14, 15, 12, 13, 10, 11, 8, 9, 6, 7, 4, 5, 2, 3, 0, 1)}]},
36.
37.     ####################################################################################################################
38.
39.     {'size': 6, 'mininv': 24, 'selfinv': True, 'selfcomp': True, 'transp': 8, 'cycles': {2: 8},
40.      'list': [{'inv': 24, 'pair': (3, 0), 'perm': (3, 2, 1, 0, 7, 6, 5, 4, 11, 10, 9, 8, 15, 14, 13, 12)},
41.               {'inv': 40, 'pair': (5, 0), 'perm': (5, 4, 7, 6, 1, 0, 3, 2, 13, 12, 15, 14, 9, 8, 11, 10)},
42.               {'inv': 48, 'pair': (6, 0), 'perm': (6, 7, 4, 5, 2, 3, 0, 1, 14, 15, 12, 13, 10, 11, 8, 9)},
43.               {'inv': 72, 'pair': (9, 0), 'perm': (9, 8, 11, 10, 13, 12, 15, 14, 1, 0, 3, 2, 5, 4, 7, 6)},
44.               {'inv': 80, 'pair': (10, 0), 'perm': (10, 11, 8, 9, 14, 15, 12, 13, 2, 3, 0, 1, 6, 7, 4, 5)},
45.               {'inv': 96, 'pair': (12, 0), 'perm': (12, 13, 14, 15, 8, 9, 10, 11, 4, 5, 6, 7, 0, 1, 2, 3)}]},
46.
47.     ####################################################################################################################
48.
49.     {'size': 12, 'mininv': 4, 'selfinv': True, 'selfcomp': False, 'transp': 4, 'cycles': {2: 4, 1: 8},
50.      'list': [{'inv': 4, 'pair': (0, 1), 'perm': (0, 2, 1, 3, 4, 6, 5, 7, 8, 10, 9, 11, 12, 14, 13, 15)},
51.               {'inv': 8, 'pair': (0, 2), 'perm': (0, 1, 4, 5, 2, 3, 6, 7, 8, 9, 12, 13, 10, 11, 14, 15)},
52.               {'inv': 16, 'pair': (0, 5), 'perm': (0, 4, 2, 6, 1, 5, 3, 7, 8, 12, 10, 14, 9, 13, 11, 15)},
53.               {'inv': 16, 'pair': (0, 6), 'perm': (0, 1, 2, 3, 8, 9, 10, 11, 4, 5, 6, 7, 12, 13, 14, 15)},
54.               {'inv': 20, 'pair': (3, 1), 'perm': (3, 1, 2, 0, 7, 5, 6, 4, 11, 9, 10, 8, 15, 13, 14, 12)},
55.               {'inv': 32, 'pair': (0, 14), 'perm': (0, 1, 8, 9, 4, 5, 12, 13, 2, 3, 10, 11, 6, 7, 14, 15)},
56.               {'inv': 32, 'pair': (5, 5), 'perm': (5, 1, 7, 3, 4, 0, 6, 2, 13, 9, 15, 11, 12, 8, 14, 10)},
57.               {'inv': 40, 'pair': (0, 21), 'perm': (0, 8, 2, 10, 4, 12, 6, 14, 1, 9, 3, 11, 5, 13, 7, 15)},
58.               {'inv': 40, 'pair': (6, 2), 'perm': (6, 7, 2, 3, 4, 5, 0, 1, 14, 15, 10, 11, 12, 13, 8, 9)},
59.               {'inv': 56, 'pair': (9, 21), 'perm': (9, 1, 11, 3, 13, 5, 15, 7, 8, 0, 10, 2, 12, 4, 14, 6)},
60.               {'inv': 64, 'pair': (10, 14), 'perm': (10, 11, 2, 3, 14, 15, 6, 7, 8, 9, 0, 1, 12, 13, 4, 5)},
61.               {'inv': 80, 'pair': (12, 6), 'perm': (12, 13, 14, 15, 4, 5, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3)}]},
62.
63.     {'size': 12, 'mininv': 40, 'selfinv': True, 'selfcomp': False, 'transp': 8, 'cycles': {2: 8},
64.      'list': [{'inv': 40, 'pair': (3, 6), 'perm': (3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 5, 4, 15, 14, 13, 12)},
65.               {'inv': 56, 'pair': (5, 14), 'perm': (5, 4, 13, 12, 1, 0, 9, 8, 7, 6, 15, 14, 3, 2, 11, 10)},
66.               {'inv': 64, 'pair': (6, 21), 'perm': (6, 14, 4, 12, 2, 10, 0, 8, 7, 15, 5, 13, 3, 11, 1, 9)},
67.               {'inv': 80, 'pair': (9, 2), 'perm': (9, 8, 13, 12, 11, 10, 15, 14, 1, 0, 5, 4, 3, 2, 7, 6)},
68.               {'inv': 80, 'pair': (15, 21), 'perm': (15, 7, 13, 5, 11, 3, 9, 1, 14, 6, 12, 4, 10, 2, 8, 0)},
69.               {'inv': 88, 'pair': (10, 5), 'perm': (10, 14, 8, 12, 11, 15, 9, 13, 2, 6, 0, 4, 3, 7, 1, 5)},
70.               {'inv': 88, 'pair': (15, 14), 'perm': (15, 14, 7, 6, 11, 10, 3, 2, 13, 12, 5, 4, 9, 8, 1, 0)},
71.               {'inv': 100, 'pair': (12, 1), 'perm': (12, 14, 13, 15, 8, 10, 9, 11, 4, 6, 5, 7, 0, 2, 1, 3)},
72.               {'inv': 104, 'pair': (15, 5), 'perm': (15, 11, 13, 9, 14, 10, 12, 8, 7, 3, 5, 1, 6, 2, 4, 0)},
73.               {'inv': 104, 'pair': (15, 6), 'perm': (15, 14, 13, 12, 7, 6, 5, 4, 11, 10, 9, 8, 3, 2, 1, 0)},
74.               {'inv': 112, 'pair': (15, 2), 'perm': (15, 14, 11, 10, 13, 12, 9, 8, 7, 6, 3, 2, 5, 4, 1, 0)},
75.               {'inv': 116, 'pair': (15, 1), 'perm': (15, 13, 14, 12, 11, 9, 10, 8, 7, 5, 6, 4, 3, 1, 2, 0)}]},
76.
77.     ############################
78.
79.     {'size': 12, 'mininv': 12, 'selfinv': False, 'selfcomp': False, 'transp': 12, 'cycles': {4: 4},
80.      'list': [{'inv': 12, 'pair': (1, 1), 'perm': (1, 3, 0, 2, 5, 7, 4, 6, 9, 11, 8, 10, 13, 15, 12, 14)},
81.               {'inv': 12, 'pair': (2, 1), 'perm': (2, 0, 3, 1, 6, 4, 7, 5, 10, 8, 11, 9, 14, 12, 15, 13)},
82.               {'inv': 24, 'pair': (1, 5), 'perm': (1, 5, 3, 7, 0, 4, 2, 6, 9, 13, 11, 15, 8, 12, 10, 14)},
83.               {'inv': 24, 'pair': (2, 2), 'perm': (2, 3, 6, 7, 0, 1, 4, 5, 10, 11, 14, 15, 8, 9, 12, 13)},
84.               {'inv': 24, 'pair': (4, 2), 'perm': (4, 5, 0, 1, 6, 7, 2, 3, 12, 13, 8, 9, 14, 15, 10, 11)},
85.               {'inv': 24, 'pair': (4, 5), 'perm': (4, 0, 6, 2, 5, 1, 7, 3, 12, 8, 14, 10, 13, 9, 15, 11)},
86.               {'inv': 48, 'pair': (1, 21), 'perm': (1, 9, 3, 11, 5, 13, 7, 15, 0, 8, 2, 10, 4, 12, 6, 14)},
87.               {'inv': 48, 'pair': (2, 14), 'perm': (2, 3, 10, 11, 6, 7, 14, 15, 0, 1, 8, 9, 4, 5, 12, 13)},
88.               {'inv': 48, 'pair': (4, 6), 'perm': (4, 5, 6, 7, 12, 13, 14, 15, 0, 1, 2, 3, 8, 9, 10, 11)},
89.               {'inv': 48, 'pair': (8, 6), 'perm': (8, 9, 10, 11, 0, 1, 2, 3, 12, 13, 14, 15, 4, 5, 6, 7)},
90.               {'inv': 48, 'pair': (8, 14), 'perm': (8, 9, 0, 1, 12, 13, 4, 5, 10, 11, 2, 3, 14, 15, 6, 7)},
91.               {'inv': 48, 'pair': (8, 21), 'perm': (8, 0, 10, 2, 12, 4, 14, 6, 9, 1, 11, 3, 13, 5, 15, 7)}]},
92.
93.     {'size': 12, 'mininv': 72, 'selfinv': False, 'selfcomp': False, 'transp': 12, 'cycles': {4: 4},
94.      'list': [{'inv': 72, 'pair': (7, 6), 'perm': (7, 6, 5, 4, 15, 14, 13, 12, 3, 2, 1, 0, 11, 10, 9, 8)},
95.               {'inv': 72, 'pair': (7, 14), 'perm': (7, 6, 15, 14, 3, 2, 11, 10, 5, 4, 13, 12, 1, 0, 9, 8)},
96.               {'inv': 72, 'pair': (7, 21), 'perm': (7, 15, 5, 13, 3, 11, 1, 9, 6, 14, 4, 12, 2, 10, 0, 8)},
97.               {'inv': 72, 'pair': (11, 6), 'perm': (11, 10, 9, 8, 3, 2, 1, 0, 15, 14, 13, 12, 7, 6, 5, 4)},
98.               {'inv': 72, 'pair': (13, 14), 'perm': (13, 12, 5, 4, 9, 8, 1, 0, 15, 14, 7, 6, 11, 10, 3, 2)},
99.               {'inv': 72, 'pair': (14, 21), 'perm': (14, 6, 12, 4, 10, 2, 8, 0, 15, 7, 13, 5, 11, 3, 9, 1)},
100.               {'inv': 96, 'pair': (11, 2), 'perm': (11, 10, 15, 14, 9, 8, 13, 12, 3, 2, 7, 6, 1, 0, 5, 4)},
101.               {'inv': 96, 'pair': (11, 5), 'perm': (11, 15, 9, 13, 10, 14, 8, 12, 3, 7, 1, 5, 2, 6, 0, 4)},
102.               {'inv': 96, 'pair': (13, 2), 'perm': (13, 12, 9, 8, 15, 14, 11, 10, 5, 4, 1, 0, 7, 6, 3, 2)},
103.               {'inv': 96, 'pair': (14, 5), 'perm': (14, 10, 12, 8, 15, 11, 13, 9, 6, 2, 4, 0, 7, 3, 5, 1)},
104.               {'inv': 108, 'pair': (13, 1), 'perm': (13, 15, 12, 14, 9, 11, 8, 10, 5, 7, 4, 6, 1, 3, 0, 2)},
105.               {'inv': 108, 'pair': (14, 1), 'perm': (14, 12, 15, 13, 10, 8, 11, 9, 6, 4, 7, 5, 2, 0, 3, 1)}]},
106.
107.     ############################
108.
109.     {'size': 12, 'mininv': 20, 'selfinv': True, 'selfcomp': True, 'transp': 6, 'cycles': {2: 6, 1: 4},
110.      'list': [{'inv': 20, 'pair': (0, 7), 'perm': (0, 2, 1, 3, 8, 10, 9, 11, 4, 6, 5, 7, 12, 14, 13, 15)},
111.               {'inv': 36, 'pair': (0, 16), 'perm': (0, 4, 8, 12, 1, 5, 9, 13, 2, 6, 10, 14, 3, 7, 11, 15)},
112.               {'inv': 36, 'pair': (3, 7), 'perm': (3, 1, 2, 0, 11, 9, 10, 8, 7, 5, 6, 4, 15, 13, 14, 12)},
113.               {'inv': 44, 'pair': (0, 23), 'perm': (0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13, 3, 11, 7, 15)},
114.               {'inv': 52, 'pair': (5, 16), 'perm': (5, 1, 13, 9, 4, 0, 12, 8, 7, 3, 15, 11, 6, 2, 14, 10)},
115.               {'inv': 60, 'pair': (6, 23), 'perm': (6, 14, 2, 10, 4, 12, 0, 8, 7, 15, 3, 11, 5, 13, 1, 9)},
116.               {'inv': 60, 'pair': (9, 23), 'perm': (9, 1, 13, 5, 11, 3, 15, 7, 8, 0, 12, 4, 10, 2, 14, 6)},
117.               {'inv': 68, 'pair': (10, 16), 'perm': (10, 14, 2, 6, 11, 15, 3, 7, 8, 12, 0, 4, 9, 13, 1, 5)},
118.               {'inv': 76, 'pair': (15, 23), 'perm': (15, 7, 11, 3, 13, 5, 9, 1, 14, 6, 10, 2, 12, 4, 8, 0)},
119.               {'inv': 84, 'pair': (12, 7), 'perm': (12, 14, 13, 15, 4, 6, 5, 7, 8, 10, 9, 11, 0, 2, 1, 3)},
120.               {'inv': 84, 'pair': (15, 16), 'perm': (15, 11, 7, 3, 14, 10, 6, 2, 13, 9, 5, 1, 12, 8, 4, 0)},
121.               {'inv': 100, 'pair': (15, 7), 'perm': (15, 13, 14, 12, 7, 5, 6, 4, 11, 9, 10, 8, 3, 1, 2, 0)}]},
122.
123.     ############################
124.
125.     {'size': 12, 'mininv': 60, 'selfinv': False, 'selfcomp': True, 'transp': 12, 'cycles': {4: 4},
126.      'list': [{'inv': 60, 'pair': (3, 16), 'perm': (3, 7, 11, 15, 2, 6, 10, 14, 1, 5, 9, 13, 0, 4, 8, 12)},
127.               {'inv': 60, 'pair': (3, 23), 'perm': (3, 11, 7, 15, 1, 9, 5, 13, 2, 10, 6, 14, 0, 8, 4, 12)},
128.               {'inv': 60, 'pair': (5, 7), 'perm': (5, 7, 4, 6, 13, 15, 12, 14, 1, 3, 0, 2, 9, 11, 8, 10)},
129.               {'inv': 60, 'pair': (5, 23), 'perm': (5, 13, 1, 9, 7, 15, 3, 11, 4, 12, 0, 8, 6, 14, 2, 10)},
130.               {'inv': 60, 'pair': (6, 7), 'perm': (6, 4, 7, 5, 14, 12, 15, 13, 2, 0, 3, 1, 10, 8, 11, 9)},
131.               {'inv': 60, 'pair': (6, 16), 'perm': (6, 2, 14, 10, 7, 3, 15, 11, 4, 0, 12, 8, 5, 1, 13, 9)},
132.               {'inv': 60, 'pair': (9, 7), 'perm': (9, 11, 8, 10, 1, 3, 0, 2, 13, 15, 12, 14, 5, 7, 4, 6)},
133.               {'inv': 60, 'pair': (9, 16), 'perm': (9, 13, 1, 5, 8, 12, 0, 4, 11, 15, 3, 7, 10, 14, 2, 6)},
134.               {'inv': 60, 'pair': (10, 7), 'perm': (10, 8, 11, 9, 2, 0, 3, 1, 14, 12, 15, 13, 6, 4, 7, 5)},
135.               {'inv': 60, 'pair': (10, 23), 'perm': (10, 2, 14, 6, 8, 0, 12, 4, 11, 3, 15, 7, 9, 1, 13, 5)},
136.               {'inv': 60, 'pair': (12, 16), 'perm': (12, 8, 4, 0, 13, 9, 5, 1, 14, 10, 6, 2, 15, 11, 7, 3)},
137.               {'inv': 60, 'pair': (12, 23), 'perm': (12, 4, 8, 0, 14, 6, 10, 2, 13, 5, 9, 1, 15, 7, 11, 3)}]},
138.
139.     ####################################################################################################################
140.
141.     {'size': 24, 'mininv': 16, 'selfinv': True, 'selfcomp': True, 'transp': 8, 'cycles': {2: 8},
142.      'list': [{'inv': 16, 'pair': (1, 2), 'perm': (1, 0, 5, 4, 3, 2, 7, 6, 9, 8, 13, 12, 11, 10, 15, 14)},
143.               {'inv': 24, 'pair': (1, 6), 'perm': (1, 0, 3, 2, 9, 8, 11, 10, 5, 4, 7, 6, 13, 12, 15, 14)},
144.               {'inv': 24, 'pair': (2, 5), 'perm': (2, 6, 0, 4, 3, 7, 1, 5, 10, 14, 8, 12, 11, 15, 9, 13)},
145.               {'inv': 32, 'pair': (2, 6), 'perm': (2, 3, 0, 1, 10, 11, 8, 9, 6, 7, 4, 5, 14, 15, 12, 13)},
146.               {'inv': 36, 'pair': (4, 1), 'perm': (4, 6, 5, 7, 0, 2, 1, 3, 12, 14, 13, 15, 8, 10, 9, 11)},
147.               {'inv': 40, 'pair': (1, 14), 'perm': (1, 0, 9, 8, 5, 4, 13, 12, 3, 2, 11, 10, 7, 6, 15, 14)},
148.               {'inv': 40, 'pair': (7, 5), 'perm': (7, 3, 5, 1, 6, 2, 4, 0, 15, 11, 13, 9, 14, 10, 12, 8)},
149.               {'inv': 48, 'pair': (2, 21), 'perm': (2, 10, 0, 8, 6, 14, 4, 12, 3, 11, 1, 9, 7, 15, 5, 13)},
150.               {'inv': 48, 'pair': (4, 14), 'perm': (4, 5, 12, 13, 0, 1, 8, 9, 6, 7, 14, 15, 2, 3, 10, 11)},
151.               {'inv': 48, 'pair': (7, 2), 'perm': (7, 6, 3, 2, 5, 4, 1, 0, 15, 14, 11, 10, 13, 12, 9, 8)},
152.               {'inv': 52, 'pair': (7, 1), 'perm': (7, 5, 6, 4, 3, 1, 2, 0, 15, 13, 14, 12, 11, 9, 10, 8)},
153.               {'inv': 56, 'pair': (4, 21), 'perm': (4, 12, 6, 14, 0, 8, 2, 10, 5, 13, 7, 15, 1, 9, 3, 11)},
154.               {'inv': 64, 'pair': (11, 21), 'perm': (11, 3, 9, 1, 15, 7, 13, 5, 10, 2, 8, 0, 14, 6, 12, 4)},
155.               {'inv': 68, 'pair': (8, 1), 'perm': (8, 10, 9, 11, 12, 14, 13, 15, 0, 2, 1, 3, 4, 6, 5, 7)},
156.               {'inv': 72, 'pair': (8, 2), 'perm': (8, 9, 12, 13, 10, 11, 14, 15, 0, 1, 4, 5, 2, 3, 6, 7)},
157.               {'inv': 72, 'pair': (11, 14), 'perm': (11, 10, 3, 2, 15, 14, 7, 6, 9, 8, 1, 0, 13, 12, 5, 4)},
158.               {'inv': 72, 'pair': (13, 21), 'perm': (13, 5, 15, 7, 9, 1, 11, 3, 12, 4, 14, 6, 8, 0, 10, 2)},
159.               {'inv': 80, 'pair': (8, 5), 'perm': (8, 12, 10, 14, 9, 13, 11, 15, 0, 4, 2, 6, 1, 5, 3, 7)},
160.               {'inv': 80, 'pair': (14, 14), 'perm': (14, 15, 6, 7, 10, 11, 2, 3, 12, 13, 4, 5, 8, 9, 0, 1)},
161.               {'inv': 84, 'pair': (11, 1), 'perm': (11, 9, 10, 8, 15, 13, 14, 12, 3, 1, 2, 0, 7, 5, 6, 4)},
162.               {'inv': 88, 'pair': (13, 6), 'perm': (13, 12, 15, 14, 5, 4, 7, 6, 9, 8, 11, 10, 1, 0, 3, 2)},
163.               {'inv': 96, 'pair': (13, 5), 'perm': (13, 9, 15, 11, 12, 8, 14, 10, 5, 1, 7, 3, 4, 0, 6, 2)},
164.               {'inv': 96, 'pair': (14, 6), 'perm': (14, 15, 12, 13, 6, 7, 4, 5, 10, 11, 8, 9, 2, 3, 0, 1)},
165.               {'inv': 104, 'pair': (14, 2), 'perm': (14, 15, 10, 11, 12, 13, 8, 9, 6, 7, 2, 3, 4, 5, 0, 1)}]},
166.
167.     ############################
168.
169.     {'size': 24, 'mininv': 28, 'selfinv': False, 'selfcomp': True, 'transp': 12, 'cycles': {4: 4},
170.      'list': [{'inv': 28, 'pair': (1, 7), 'perm': (1, 3, 0, 2, 9, 11, 8, 10, 5, 7, 4, 6, 13, 15, 12, 14)},
171.               {'inv': 28, 'pair': (2, 7), 'perm': (2, 0, 3, 1, 10, 8, 11, 9, 6, 4, 7, 5, 14, 12, 15, 13)},
172.               {'inv': 44, 'pair': (1, 16), 'perm': (1, 5, 9, 13, 0, 4, 8, 12, 3, 7, 11, 15, 2, 6, 10, 14)},
173.               {'inv': 44, 'pair': (4, 16), 'perm': (4, 0, 12, 8, 5, 1, 13, 9, 6, 2, 14, 10, 7, 3, 15, 11)},
174.               {'inv': 52, 'pair': (1, 23), 'perm': (1, 9, 5, 13, 3, 11, 7, 15, 0, 8, 4, 12, 2, 10, 6, 14)},
175.               {'inv': 52, 'pair': (2, 16), 'perm': (2, 6, 10, 14, 3, 7, 11, 15, 0, 4, 8, 12, 1, 5, 9, 13)},
176.               {'inv': 52, 'pair': (2, 23), 'perm': (2, 10, 6, 14, 0, 8, 4, 12, 3, 11, 7, 15, 1, 9, 5, 13)},
177.               {'inv': 52, 'pair': (4, 7), 'perm': (4, 6, 5, 7, 12, 14, 13, 15, 0, 2, 1, 3, 8, 10, 9, 11)},
178.               {'inv': 52, 'pair': (4, 23), 'perm': (4, 12, 0, 8, 6, 14, 2, 10, 5, 13, 1, 9, 7, 15, 3, 11)},
179.               {'inv': 52, 'pair': (8, 7), 'perm': (8, 10, 9, 11, 0, 2, 1, 3, 12, 14, 13, 15, 4, 6, 5, 7)},
180.               {'inv': 52, 'pair': (8, 16), 'perm': (8, 12, 0, 4, 9, 13, 1, 5, 10, 14, 2, 6, 11, 15, 3, 7)},
181.               {'inv': 52, 'pair': (8, 23), 'perm': (8, 0, 12, 4, 10, 2, 14, 6, 9, 1, 13, 5, 11, 3, 15, 7)},
182.               {'inv': 68, 'pair': (7, 7), 'perm': (7, 5, 6, 4, 15, 13, 14, 12, 3, 1, 2, 0, 11, 9, 10, 8)},
183.               {'inv': 68, 'pair': (7, 16), 'perm': (7, 3, 15, 11, 6, 2, 14, 10, 5, 1, 13, 9, 4, 0, 12, 8)},
184.               {'inv': 68, 'pair': (7, 23), 'perm': (7, 15, 3, 11, 5, 13, 1, 9, 6, 14, 2, 10, 4, 12, 0, 8)},
185.               {'inv': 68, 'pair': (11, 7), 'perm': (11, 9, 10, 8, 3, 1, 2, 0, 15, 13, 14, 12, 7, 5, 6, 4)},
186.               {'inv': 68, 'pair': (11, 23), 'perm': (11, 3, 15, 7, 9, 1, 13, 5, 10, 2, 14, 6, 8, 0, 12, 4)},
187.               {'inv': 68, 'pair': (13, 16), 'perm': (13, 9, 5, 1, 12, 8, 4, 0, 15, 11, 7, 3, 14, 10, 6, 2)},
188.               {'inv': 68, 'pair': (13, 23), 'perm': (13, 5, 9, 1, 15, 7, 11, 3, 12, 4, 8, 0, 14, 6, 10, 2)},
189.               {'inv': 68, 'pair': (14, 23), 'perm': (14, 6, 10, 2, 12, 4, 8, 0, 15, 7, 11, 3, 13, 5, 9, 1)},
190.               {'inv': 76, 'pair': (11, 16), 'perm': (11, 15, 3, 7, 10, 14, 2, 6, 9, 13, 1, 5, 8, 12, 0, 4)},
191.               {'inv': 76, 'pair': (14, 16), 'perm': (14, 10, 6, 2, 15, 11, 7, 3, 12, 8, 4, 0, 13, 9, 5, 1)},
192.               {'inv': 92, 'pair': (13, 7), 'perm': (13, 15, 12, 14, 5, 7, 4, 6, 9, 11, 8, 10, 1, 3, 0, 2)},
193.               {'inv': 92, 'pair': (14, 7), 'perm': (14, 12, 15, 13, 6, 4, 7, 5, 10, 8, 11, 9, 2, 0, 3, 1)}]},
194.
195.     ############################
196.
197.     {'size': 24, 'mininv': 32, 'selfinv': False, 'selfcomp': True, 'transp': 12, 'cycles': {4: 4},
198.      'list': [{'inv': 32, 'pair': (3, 2), 'perm': (3, 2, 7, 6, 1, 0, 5, 4, 11, 10, 15, 14, 9, 8, 13, 12)},
199.               {'inv': 32, 'pair': (3, 5), 'perm': (3, 7, 1, 5, 2, 6, 0, 4, 11, 15, 9, 13, 10, 14, 8, 12)},
200.               {'inv': 32, 'pair': (5, 2), 'perm': (5, 4, 1, 0, 7, 6, 3, 2, 13, 12, 9, 8, 15, 14, 11, 10)},
201.               {'inv': 32, 'pair': (6, 5), 'perm': (6, 2, 4, 0, 7, 3, 5, 1, 14, 10, 12, 8, 15, 11, 13, 9)},
202.               {'inv': 44, 'pair': (5, 1), 'perm': (5, 7, 4, 6, 1, 3, 0, 2, 13, 15, 12, 14, 9, 11, 8, 10)},
203.               {'inv': 44, 'pair': (6, 1), 'perm': (6, 4, 7, 5, 2, 0, 3, 1, 14, 12, 15, 13, 10, 8, 11, 9)},
204.               {'inv': 56, 'pair': (3, 14), 'perm': (3, 2, 11, 10, 7, 6, 15, 14, 1, 0, 9, 8, 5, 4, 13, 12)},
205.               {'inv': 56, 'pair': (3, 21), 'perm': (3, 11, 1, 9, 7, 15, 5, 13, 2, 10, 0, 8, 6, 14, 4, 12)},
206.               {'inv': 56, 'pair': (5, 6), 'perm': (5, 4, 7, 6, 13, 12, 15, 14, 1, 0, 3, 2, 9, 8, 11, 10)},
207.               {'inv': 56, 'pair': (9, 6), 'perm': (9, 8, 11, 10, 1, 0, 3, 2, 13, 12, 15, 14, 5, 4, 7, 6)},
208.               {'inv': 56, 'pair': (9, 14), 'perm': (9, 8, 1, 0, 13, 12, 5, 4, 11, 10, 3, 2, 15, 14, 7, 6)},
209.               {'inv': 56, 'pair': (10, 21), 'perm': (10, 2, 8, 0, 14, 6, 12, 4, 11, 3, 9, 1, 15, 7, 13, 5)},
210.               {'inv': 64, 'pair': (5, 21), 'perm': (5, 13, 7, 15, 1, 9, 3, 11, 4, 12, 6, 14, 0, 8, 2, 10)},
211.               {'inv': 64, 'pair': (6, 6), 'perm': (6, 7, 4, 5, 14, 15, 12, 13, 2, 3, 0, 1, 10, 11, 8, 9)},
212.               {'inv': 64, 'pair': (6, 14), 'perm': (6, 7, 14, 15, 2, 3, 10, 11, 4, 5, 12, 13, 0, 1, 8, 9)},
213.               {'inv': 64, 'pair': (10, 6), 'perm': (10, 11, 8, 9, 2, 3, 0, 1, 14, 15, 12, 13, 6, 7, 4, 5)},
214.               {'inv': 64, 'pair': (12, 14), 'perm': (12, 13, 4, 5, 8, 9, 0, 1, 14, 15, 6, 7, 10, 11, 2, 3)},
215.               {'inv': 64, 'pair': (12, 21), 'perm': (12, 4, 14, 6, 8, 0, 10, 2, 13, 5, 15, 7, 9, 1, 11, 3)},
216.               {'inv': 76, 'pair': (9, 1), 'perm': (9, 11, 8, 10, 13, 15, 12, 14, 1, 3, 0, 2, 5, 7, 4, 6)},
217.               {'inv': 76, 'pair': (10, 1), 'perm': (10, 8, 11, 9, 14, 12, 15, 13, 2, 0, 3, 1, 6, 4, 7, 5)},
218.               {'inv': 88, 'pair': (9, 5), 'perm': (9, 13, 11, 15, 8, 12, 10, 14, 1, 5, 3, 7, 0, 4, 2, 6)},
219.               {'inv': 88, 'pair': (10, 2), 'perm': (10, 11, 14, 15, 8, 9, 12, 13, 2, 3, 6, 7, 0, 1, 4, 5)},
220.               {'inv': 88, 'pair': (12, 2), 'perm': (12, 13, 8, 9, 14, 15, 10, 11, 4, 5, 0, 1, 6, 7, 2, 3)},
221.               {'inv': 88, 'pair': (12, 5), 'perm': (12, 8, 14, 10, 13, 9, 15, 11, 4, 0, 6, 2, 5, 1, 7, 3)}]},
222.
223.     ####################################################################################################################
224.
225.     {'size': 32, 'mininv': 12, 'selfinv': False, 'selfcomp': False, 'transp': 8, 'cycles': {3: 4, 1: 4},
226.      'list': [{'inv': 12, 'pair': (0, 3), 'perm': (0, 4, 1, 5, 2, 6, 3, 7, 8, 12, 9, 13, 10, 14, 11, 15)},
227.               {'inv': 12, 'pair': (0, 4), 'perm': (0, 2, 4, 6, 1, 3, 5, 7, 8, 10, 12, 14, 9, 11, 13, 15)},
228.               {'inv': 24, 'pair': (0, 8), 'perm': (0, 1, 8, 9, 2, 3, 10, 11, 4, 5, 12, 13, 6, 7, 14, 15)},
229.               {'inv': 24, 'pair': (0, 12), 'perm': (0, 1, 4, 5, 8, 9, 12, 13, 2, 3, 6, 7, 10, 11, 14, 15)},
230.               {'inv': 28, 'pair': (3, 4), 'perm': (3, 1, 7, 5, 2, 0, 6, 4, 11, 9, 15, 13, 10, 8, 14, 12)},
231.               {'inv': 28, 'pair': (5, 3), 'perm': (5, 1, 4, 0, 7, 3, 6, 2, 13, 9, 12, 8, 15, 11, 14, 10)},
232.               {'inv': 32, 'pair': (0, 11), 'perm': (0, 8, 2, 10, 1, 9, 3, 11, 4, 12, 6, 14, 5, 13, 7, 15)},
233.               {'inv': 32, 'pair': (0, 19), 'perm': (0, 4, 2, 6, 8, 12, 10, 14, 1, 5, 3, 7, 9, 13, 11, 15)},
234.               {'inv': 36, 'pair': (0, 15), 'perm': (0, 8, 1, 9, 4, 12, 5, 13, 2, 10, 3, 11, 6, 14, 7, 15)},
235.               {'inv': 36, 'pair': (0, 20), 'perm': (0, 2, 8, 10, 4, 6, 12, 14, 1, 3, 9, 11, 5, 7, 13, 15)},
236.               {'inv': 36, 'pair': (3, 3), 'perm': (3, 7, 2, 6, 1, 5, 0, 4, 11, 15, 10, 14, 9, 13, 8, 12)},
237.               {'inv': 36, 'pair': (5, 4), 'perm': (5, 7, 1, 3, 4, 6, 0, 2, 13, 15, 9, 11, 12, 14, 8, 10)},
238.               {'inv': 36, 'pair': (6, 3), 'perm': (6, 2, 7, 3, 4, 0, 5, 1, 14, 10, 15, 11, 12, 8, 13, 9)},
239.               {'inv': 36, 'pair': (6, 4), 'perm': (6, 4, 2, 0, 7, 5, 3, 1, 14, 12, 10, 8, 15, 13, 11, 9)},
240.               {'inv': 48, 'pair': (5, 19), 'perm': (5, 1, 7, 3, 13, 9, 15, 11, 4, 0, 6, 2, 12, 8, 14, 10)},
241.               {'inv': 48, 'pair': (9, 11), 'perm': (9, 1, 11, 3, 8, 0, 10, 2, 13, 5, 15, 7, 12, 4, 14, 6)},
242.               {'inv': 52, 'pair': (3, 20), 'perm': (3, 1, 11, 9, 7, 5, 15, 13, 2, 0, 10, 8, 6, 4, 14, 12)},
243.               {'inv': 52, 'pair': (9, 15), 'perm': (9, 1, 8, 0, 13, 5, 12, 4, 11, 3, 10, 2, 15, 7, 14, 6)},
244.               {'inv': 56, 'pair': (6, 12), 'perm': (6, 7, 2, 3, 14, 15, 10, 11, 4, 5, 0, 1, 12, 13, 8, 9)},
245.               {'inv': 56, 'pair': (10, 8), 'perm': (10, 11, 2, 3, 8, 9, 0, 1, 14, 15, 6, 7, 12, 13, 4, 5)},
246.               {'inv': 60, 'pair': (3, 15), 'perm': (3, 11, 2, 10, 7, 15, 6, 14, 1, 9, 0, 8, 5, 13, 4, 12)},
247.               {'inv': 60, 'pair': (9, 20), 'perm': (9, 11, 1, 3, 13, 15, 5, 7, 8, 10, 0, 2, 12, 14, 4, 6)},
248.               {'inv': 60, 'pair': (10, 15), 'perm': (10, 2, 11, 3, 14, 6, 15, 7, 8, 0, 9, 1, 12, 4, 13, 5)},
249.               {'inv': 60, 'pair': (10, 20), 'perm': (10, 8, 2, 0, 14, 12, 6, 4, 11, 9, 3, 1, 15, 13, 7, 5)},
250.               {'inv': 72, 'pair': (5, 11), 'perm': (5, 13, 7, 15, 4, 12, 6, 14, 1, 9, 3, 11, 0, 8, 2, 10)},
251.               {'inv': 72, 'pair': (6, 8), 'perm': (6, 7, 14, 15, 4, 5, 12, 13, 2, 3, 10, 11, 0, 1, 8, 9)},
252.               {'inv': 72, 'pair': (9, 19), 'perm': (9, 13, 11, 15, 1, 5, 3, 7, 8, 12, 10, 14, 0, 4, 2, 6)},
253.               {'inv': 72, 'pair': (10, 12), 'perm': (10, 11, 14, 15, 2, 3, 6, 7, 8, 9, 12, 13, 0, 1, 4, 5)},
254.               {'inv': 72, 'pair': (12, 8), 'perm': (12, 13, 4, 5, 14, 15, 6, 7, 8, 9, 0, 1, 10, 11, 2, 3)},
255.               {'inv': 72, 'pair': (12, 11), 'perm': (12, 4, 14, 6, 13, 5, 15, 7, 8, 0, 10, 2, 9, 1, 11, 3)},
256.               {'inv': 72, 'pair': (12, 12), 'perm': (12, 13, 8, 9, 4, 5, 0, 1, 14, 15, 10, 11, 6, 7, 2, 3)},
257.               {'inv': 72, 'pair': (12, 19), 'perm': (12, 8, 14, 10, 4, 0, 6, 2, 13, 9, 15, 11, 5, 1, 7, 3)}]},
258.
259.     {'size': 32, 'mininv': 48, 'selfinv': False, 'selfcomp': False, 'transp': 12, 'cycles': {6: 2, 2: 2},
260.      'list': [{'inv': 48, 'pair': (3, 8), 'perm': (3, 2, 11, 10, 1, 0, 9, 8, 7, 6, 15, 14, 5, 4, 13, 12)},
261.               {'inv': 48, 'pair': (3, 11), 'perm': (3, 11, 1, 9, 2, 10, 0, 8, 7, 15, 5, 13, 6, 14, 4, 12)},
262.               {'inv': 48, 'pair': (3, 12), 'perm': (3, 2, 7, 6, 11, 10, 15, 14, 1, 0, 5, 4, 9, 8, 13, 12)},
263.               {'inv': 48, 'pair': (3, 19), 'perm': (3, 7, 1, 5, 11, 15, 9, 13, 2, 6, 0, 4, 10, 14, 8, 12)},
264.               {'inv': 48, 'pair': (5, 12), 'perm': (5, 4, 1, 0, 13, 12, 9, 8, 7, 6, 3, 2, 15, 14, 11, 10)},
265.               {'inv': 48, 'pair': (6, 19), 'perm': (6, 2, 4, 0, 14, 10, 12, 8, 7, 3, 5, 1, 15, 11, 13, 9)},
266.               {'inv': 48, 'pair': (9, 8), 'perm': (9, 8, 1, 0, 11, 10, 3, 2, 13, 12, 5, 4, 15, 14, 7, 6)},
267.               {'inv': 48, 'pair': (10, 11), 'perm': (10, 2, 8, 0, 11, 3, 9, 1, 14, 6, 12, 4, 15, 7, 13, 5)},
268.               {'inv': 60, 'pair': (5, 15), 'perm': (5, 13, 4, 12, 1, 9, 0, 8, 7, 15, 6, 14, 3, 11, 2, 10)},
269.               {'inv': 60, 'pair': (5, 20), 'perm': (5, 7, 13, 15, 1, 3, 9, 11, 4, 6, 12, 14, 0, 2, 8, 10)},
270.               {'inv': 60, 'pair': (6, 20), 'perm': (6, 4, 14, 12, 2, 0, 10, 8, 7, 5, 15, 13, 3, 1, 11, 9)},
271.               {'inv': 60, 'pair': (12, 15), 'perm': (12, 4, 13, 5, 8, 0, 9, 1, 14, 6, 15, 7, 10, 2, 11, 3)},
272.               {'inv': 64, 'pair': (5, 8), 'perm': (5, 4, 13, 12, 7, 6, 15, 14, 1, 0, 9, 8, 3, 2, 11, 10)},
273.               {'inv': 64, 'pair': (9, 12), 'perm': (9, 8, 13, 12, 1, 0, 5, 4, 11, 10, 15, 14, 3, 2, 7, 6)},
274.               {'inv': 68, 'pair': (6, 15), 'perm': (6, 14, 7, 15, 2, 10, 3, 11, 4, 12, 5, 13, 0, 8, 1, 9)},
275.               {'inv': 68, 'pair': (12, 20), 'perm': (12, 14, 4, 6, 8, 10, 0, 2, 13, 15, 5, 7, 9, 11, 1, 3)},
276.               {'inv': 72, 'pair': (6, 11), 'perm': (6, 14, 4, 12, 7, 15, 5, 13, 2, 10, 0, 8, 3, 11, 1, 9)},
277.               {'inv': 72, 'pair': (10, 19), 'perm': (10, 14, 8, 12, 2, 6, 0, 4, 11, 15, 9, 13, 3, 7, 1, 5)},
278.               {'inv': 84, 'pair': (9, 3), 'perm': (9, 13, 8, 12, 11, 15, 10, 14, 1, 5, 0, 4, 3, 7, 2, 6)},
279.               {'inv': 84, 'pair': (9, 4), 'perm': (9, 11, 13, 15, 8, 10, 12, 14, 1, 3, 5, 7, 0, 2, 4, 6)},
280.               {'inv': 84, 'pair': (10, 4), 'perm': (10, 8, 14, 12, 11, 9, 15, 13, 2, 0, 6, 4, 3, 1, 7, 5)},
281.               {'inv': 84, 'pair': (12, 3), 'perm': (12, 8, 13, 9, 14, 10, 15, 11, 4, 0, 5, 1, 6, 2, 7, 3)},
282.               {'inv': 84, 'pair': (15, 15), 'perm': (15, 7, 14, 6, 11, 3, 10, 2, 13, 5, 12, 4, 9, 1, 8, 0)},
283.               {'inv': 84, 'pair': (15, 20), 'perm': (15, 13, 7, 5, 11, 9, 3, 1, 14, 12, 6, 4, 10, 8, 2, 0)},
284.               {'inv': 88, 'pair': (15, 11), 'perm': (15, 7, 13, 5, 14, 6, 12, 4, 11, 3, 9, 1, 10, 2, 8, 0)},
285.               {'inv': 88, 'pair': (15, 19), 'perm': (15, 11, 13, 9, 7, 3, 5, 1, 14, 10, 12, 8, 6, 2, 4, 0)},
286.               {'inv': 92, 'pair': (10, 3), 'perm': (10, 14, 11, 15, 8, 12, 9, 13, 2, 6, 3, 7, 0, 4, 1, 5)},
287.               {'inv': 92, 'pair': (12, 4), 'perm': (12, 14, 8, 10, 13, 15, 9, 11, 4, 6, 0, 2, 5, 7, 1, 3)},
288.               {'inv': 96, 'pair': (15, 8), 'perm': (15, 14, 7, 6, 13, 12, 5, 4, 11, 10, 3, 2, 9, 8, 1, 0)},
289.               {'inv': 96, 'pair': (15, 12), 'perm': (15, 14, 11, 10, 7, 6, 3, 2, 13, 12, 9, 8, 5, 4, 1, 0)},
290.               {'inv': 108, 'pair': (15, 3), 'perm': (15, 11, 14, 10, 13, 9, 12, 8, 7, 3, 6, 2, 5, 1, 4, 0)},
291.               {'inv': 108, 'pair': (15, 4), 'perm': (15, 13, 11, 9, 14, 12, 10, 8, 7, 5, 3, 1, 6, 4, 2, 0)}]},
292.
293.     ############################
294.
295.     {'size': 32, 'mininv': 20, 'selfinv': False, 'selfcomp': False, 'transp': 12, 'cycles': {6: 2, 2: 2},
296.      'list': [{'inv': 20, 'pair': (1, 3), 'perm': (1, 5, 0, 4, 3, 7, 2, 6, 9, 13, 8, 12, 11, 15, 10, 14)},
297.               {'inv': 20, 'pair': (1, 4), 'perm': (1, 3, 5, 7, 0, 2, 4, 6, 9, 11, 13, 15, 8, 10, 12, 14)},
298.               {'inv': 20, 'pair': (2, 4), 'perm': (2, 0, 6, 4, 3, 1, 7, 5, 10, 8, 14, 12, 11, 9, 15, 13)},
299.               {'inv': 20, 'pair': (4, 3), 'perm': (4, 0, 5, 1, 6, 2, 7, 3, 12, 8, 13, 9, 14, 10, 15, 11)},
300.               {'inv': 28, 'pair': (2, 3), 'perm': (2, 6, 3, 7, 0, 4, 1, 5, 10, 14, 11, 15, 8, 12, 9, 13)},
301.               {'inv': 28, 'pair': (4, 4), 'perm': (4, 6, 0, 2, 5, 7, 1, 3, 12, 14, 8, 10, 13, 15, 9, 11)},
302.               {'inv': 40, 'pair': (1, 11), 'perm': (1, 9, 3, 11, 0, 8, 2, 10, 5, 13, 7, 15, 4, 12, 6, 14)},
303.               {'inv': 40, 'pair': (1, 19), 'perm': (1, 5, 3, 7, 9, 13, 11, 15, 0, 4, 2, 6, 8, 12, 10, 14)},
304.               {'inv': 40, 'pair': (2, 8), 'perm': (2, 3, 10, 11, 0, 1, 8, 9, 6, 7, 14, 15, 4, 5, 12, 13)},
305.               {'inv': 40, 'pair': (2, 12), 'perm': (2, 3, 6, 7, 10, 11, 14, 15, 0, 1, 4, 5, 8, 9, 12, 13)},
306.               {'inv': 40, 'pair': (4, 12), 'perm': (4, 5, 0, 1, 12, 13, 8, 9, 6, 7, 2, 3, 14, 15, 10, 11)},
307.               {'inv': 40, 'pair': (4, 19), 'perm': (4, 0, 6, 2, 12, 8, 14, 10, 5, 1, 7, 3, 13, 9, 15, 11)},
308.               {'inv': 40, 'pair': (8, 8), 'perm': (8, 9, 0, 1, 10, 11, 2, 3, 12, 13, 4, 5, 14, 15, 6, 7)},
309.               {'inv': 40, 'pair': (8, 11), 'perm': (8, 0, 10, 2, 9, 1, 11, 3, 12, 4, 14, 6, 13, 5, 15, 7)},
310.               {'inv': 44, 'pair': (1, 15), 'perm': (1, 9, 0, 8, 5, 13, 4, 12, 3, 11, 2, 10, 7, 15, 6, 14)},
311.               {'inv': 44, 'pair': (1, 20), 'perm': (1, 3, 9, 11, 5, 7, 13, 15, 0, 2, 8, 10, 4, 6, 12, 14)},
312.               {'inv': 44, 'pair': (2, 20), 'perm': (2, 0, 10, 8, 6, 4, 14, 12, 3, 1, 11, 9, 7, 5, 15, 13)},
313.               {'inv': 44, 'pair': (7, 3), 'perm': (7, 3, 6, 2, 5, 1, 4, 0, 15, 11, 14, 10, 13, 9, 12, 8)},
314.               {'inv': 44, 'pair': (7, 4), 'perm': (7, 5, 3, 1, 6, 4, 2, 0, 15, 13, 11, 9, 14, 12, 10, 8)},
315.               {'inv': 44, 'pair': (8, 15), 'perm': (8, 0, 9, 1, 12, 4, 13, 5, 10, 2, 11, 3, 14, 6, 15, 7)},
316.               {'inv': 52, 'pair': (2, 15), 'perm': (2, 10, 3, 11, 6, 14, 7, 15, 0, 8, 1, 9, 4, 12, 5, 13)},
317.               {'inv': 52, 'pair': (8, 20), 'perm': (8, 10, 0, 2, 12, 14, 4, 6, 9, 11, 1, 3, 13, 15, 5, 7)},
318.               {'inv': 56, 'pair': (4, 8), 'perm': (4, 5, 12, 13, 6, 7, 14, 15, 0, 1, 8, 9, 2, 3, 10, 11)},
319.               {'inv': 56, 'pair': (8, 12), 'perm': (8, 9, 12, 13, 0, 1, 4, 5, 10, 11, 14, 15, 2, 3, 6, 7)},
320.               {'inv': 64, 'pair': (4, 11), 'perm': (4, 12, 6, 14, 5, 13, 7, 15, 0, 8, 2, 10, 1, 9, 3, 11)},
321.               {'inv': 64, 'pair': (8, 19), 'perm': (8, 12, 10, 14, 0, 4, 2, 6, 9, 13, 11, 15, 1, 5, 3, 7)},
322.               {'inv': 68, 'pair': (11, 15), 'perm': (11, 3, 10, 2, 15, 7, 14, 6, 9, 1, 8, 0, 13, 5, 12, 4)},
323.               {'inv': 68, 'pair': (11, 20), 'perm': (11, 9, 3, 1, 15, 13, 7, 5, 10, 8, 2, 0, 14, 12, 6, 4)},
324.               {'inv': 80, 'pair': (13, 11), 'perm': (13, 5, 15, 7, 12, 4, 14, 6, 9, 1, 11, 3, 8, 0, 10, 2)},
325.               {'inv': 80, 'pair': (13, 19), 'perm': (13, 9, 15, 11, 5, 1, 7, 3, 12, 8, 14, 10, 4, 0, 6, 2)},
326.               {'inv': 88, 'pair': (14, 8), 'perm': (14, 15, 6, 7, 12, 13, 4, 5, 10, 11, 2, 3, 8, 9, 0, 1)},
327.               {'inv': 88, 'pair': (14, 12), 'perm': (14, 15, 10, 11, 6, 7, 2, 3, 12, 13, 8, 9, 4, 5, 0, 1)}]},
328.
329.     {'size': 32, 'mininv': 32, 'selfinv': False, 'selfcomp': False, 'transp': 12, 'cycles': {6: 2, 2: 2},
330.      'list': [{'inv': 32, 'pair': (1, 8), 'perm': (1, 0, 9, 8, 3, 2, 11, 10, 5, 4, 13, 12, 7, 6, 15, 14)},
331.               {'inv': 32, 'pair': (1, 12), 'perm': (1, 0, 5, 4, 9, 8, 13, 12, 3, 2, 7, 6, 11, 10, 15, 14)},
332.               {'inv': 40, 'pair': (2, 11), 'perm': (2, 10, 0, 8, 3, 11, 1, 9, 6, 14, 4, 12, 7, 15, 5, 13)},
333.               {'inv': 40, 'pair': (2, 19), 'perm': (2, 6, 0, 4, 10, 14, 8, 12, 3, 7, 1, 5, 11, 15, 9, 13)},
334.               {'inv': 52, 'pair': (4, 15), 'perm': (4, 12, 5, 13, 0, 8, 1, 9, 6, 14, 7, 15, 2, 10, 3, 11)},
335.               {'inv': 52, 'pair': (4, 20), 'perm': (4, 6, 12, 14, 0, 2, 8, 10, 5, 7, 13, 15, 1, 3, 9, 11)},
336.               {'inv': 56, 'pair': (7, 19), 'perm': (7, 3, 5, 1, 15, 11, 13, 9, 6, 2, 4, 0, 14, 10, 12, 8)},
337.               {'inv': 56, 'pair': (11, 11), 'perm': (11, 3, 9, 1, 10, 2, 8, 0, 15, 7, 13, 5, 14, 6, 12, 4)},
338.               {'inv': 64, 'pair': (7, 12), 'perm': (7, 6, 3, 2, 15, 14, 11, 10, 5, 4, 1, 0, 13, 12, 9, 8)},
339.               {'inv': 64, 'pair': (11, 8), 'perm': (11, 10, 3, 2, 9, 8, 1, 0, 15, 14, 7, 6, 13, 12, 5, 4)},
340.               {'inv': 68, 'pair': (7, 20), 'perm': (7, 5, 15, 13, 3, 1, 11, 9, 6, 4, 14, 12, 2, 0, 10, 8)},
341.               {'inv': 68, 'pair': (13, 15), 'perm': (13, 5, 12, 4, 9, 1, 8, 0, 15, 7, 14, 6, 11, 3, 10, 2)},
342.               {'inv': 76, 'pair': (7, 15), 'perm': (7, 15, 6, 14, 3, 11, 2, 10, 5, 13, 4, 12, 1, 9, 0, 8)},
343.               {'inv': 76, 'pair': (8, 3), 'perm': (8, 12, 9, 13, 10, 14, 11, 15, 0, 4, 1, 5, 2, 6, 3, 7)},
344.               {'inv': 76, 'pair': (8, 4), 'perm': (8, 10, 12, 14, 9, 11, 13, 15, 0, 2, 4, 6, 1, 3, 5, 7)},
345.               {'inv': 76, 'pair': (13, 20), 'perm': (13, 15, 5, 7, 9, 11, 1, 3, 12, 14, 4, 6, 8, 10, 0, 2)},
346.               {'inv': 76, 'pair': (14, 15), 'perm': (14, 6, 15, 7, 10, 2, 11, 3, 12, 4, 13, 5, 8, 0, 9, 1)},
347.               {'inv': 76, 'pair': (14, 20), 'perm': (14, 12, 6, 4, 10, 8, 2, 0, 15, 13, 7, 5, 11, 9, 3, 1)},
348.               {'inv': 80, 'pair': (7, 8), 'perm': (7, 6, 15, 14, 5, 4, 13, 12, 3, 2, 11, 10, 1, 0, 9, 8)},
349.               {'inv': 80, 'pair': (7, 11), 'perm': (7, 15, 5, 13, 6, 14, 4, 12, 3, 11, 1, 9, 2, 10, 0, 8)},
350.               {'inv': 80, 'pair': (11, 12), 'perm': (11, 10, 15, 14, 3, 2, 7, 6, 9, 8, 13, 12, 1, 0, 5, 4)},
351.               {'inv': 80, 'pair': (11, 19), 'perm': (11, 15, 9, 13, 3, 7, 1, 5, 10, 14, 8, 12, 2, 6, 0, 4)},
352.               {'inv': 80, 'pair': (13, 8), 'perm': (13, 12, 5, 4, 15, 14, 7, 6, 9, 8, 1, 0, 11, 10, 3, 2)},
353.               {'inv': 80, 'pair': (13, 12), 'perm': (13, 12, 9, 8, 5, 4, 1, 0, 15, 14, 11, 10, 7, 6, 3, 2)},
354.               {'inv': 80, 'pair': (14, 11), 'perm': (14, 6, 12, 4, 15, 7, 13, 5, 10, 2, 8, 0, 11, 3, 9, 1)},
355.               {'inv': 80, 'pair': (14, 19), 'perm': (14, 10, 12, 8, 6, 2, 4, 0, 15, 11, 13, 9, 7, 3, 5, 1)},
356.               {'inv': 92, 'pair': (11, 4), 'perm': (11, 9, 15, 13, 10, 8, 14, 12, 3, 1, 7, 5, 2, 0, 6, 4)},
357.               {'inv': 92, 'pair': (13, 3), 'perm': (13, 9, 12, 8, 15, 11, 14, 10, 5, 1, 4, 0, 7, 3, 6, 2)},
358.               {'inv': 100, 'pair': (11, 3), 'perm': (11, 15, 10, 14, 9, 13, 8, 12, 3, 7, 2, 6, 1, 5, 0, 4)},
359.               {'inv': 100, 'pair': (13, 4), 'perm': (13, 15, 9, 11, 12, 14, 8, 10, 5, 7, 1, 3, 4, 6, 0, 2)},
360.               {'inv': 100, 'pair': (14, 3), 'perm': (14, 10, 15, 11, 12, 8, 13, 9, 6, 2, 7, 3, 4, 0, 5, 1)},
361.               {'inv': 100, 'pair': (14, 4), 'perm': (14, 12, 10, 8, 15, 13, 11, 9, 6, 4, 2, 0, 7, 5, 3, 1)}]},
362.
363.     ####################################################################################################################
364.
365.     {'size': 48, 'mininv': 28, 'selfinv': False, 'selfcomp': True, 'transp': 10, 'cycles': {2: 1, 4: 3, 1: 2},
366.      'list': [{'inv': 28, 'pair': (0, 9), 'perm': (0, 8, 1, 9, 2, 10, 3, 11, 4, 12, 5, 13, 6, 14, 7, 15)},
367.               {'inv': 28, 'pair': (0, 10), 'perm': (0, 2, 8, 10, 1, 3, 9, 11, 4, 6, 12, 14, 5, 7, 13, 15)},
368.               {'inv': 28, 'pair': (0, 13), 'perm': (0, 4, 1, 5, 8, 12, 9, 13, 2, 6, 3, 7, 10, 14, 11, 15)},
369.               {'inv': 28, 'pair': (0, 18), 'perm': (0, 2, 4, 6, 8, 10, 12, 14, 1, 3, 5, 7, 9, 11, 13, 15)},
370.               {'inv': 40, 'pair': (0, 17), 'perm': (0, 8, 4, 12, 1, 9, 5, 13, 2, 10, 6, 14, 3, 11, 7, 15)},
371.               {'inv': 40, 'pair': (0, 22), 'perm': (0, 4, 8, 12, 2, 6, 10, 14, 1, 5, 9, 13, 3, 7, 11, 15)},
372.               {'inv': 44, 'pair': (3, 10), 'perm': (3, 1, 11, 9, 2, 0, 10, 8, 7, 5, 15, 13, 6, 4, 14, 12)},
373.               {'inv': 44, 'pair': (3, 18), 'perm': (3, 1, 7, 5, 11, 9, 15, 13, 2, 0, 6, 4, 10, 8, 14, 12)},
374.               {'inv': 44, 'pair': (5, 13), 'perm': (5, 1, 4, 0, 13, 9, 12, 8, 7, 3, 6, 2, 15, 11, 14, 10)},
375.               {'inv': 44, 'pair': (9, 9), 'perm': (9, 1, 8, 0, 11, 3, 10, 2, 13, 5, 12, 4, 15, 7, 14, 6)},
376.               {'inv': 52, 'pair': (3, 9), 'perm': (3, 11, 2, 10, 1, 9, 0, 8, 7, 15, 6, 14, 5, 13, 4, 12)},
377.               {'inv': 52, 'pair': (3, 13), 'perm': (3, 7, 2, 6, 11, 15, 10, 14, 1, 5, 0, 4, 9, 13, 8, 12)},
378.               {'inv': 52, 'pair': (5, 18), 'perm': (5, 7, 1, 3, 13, 15, 9, 11, 4, 6, 0, 2, 12, 14, 8, 10)},
379.               {'inv': 52, 'pair': (6, 13), 'perm': (6, 2, 7, 3, 14, 10, 15, 11, 4, 0, 5, 1, 12, 8, 13, 9)},
380.               {'inv': 52, 'pair': (6, 18), 'perm': (6, 4, 2, 0, 14, 12, 10, 8, 7, 5, 3, 1, 15, 13, 11, 9)},
381.               {'inv': 52, 'pair': (9, 10), 'perm': (9, 11, 1, 3, 8, 10, 0, 2, 13, 15, 5, 7, 12, 14, 4, 6)},
382.               {'inv': 52, 'pair': (10, 9), 'perm': (10, 2, 11, 3, 8, 0, 9, 1, 14, 6, 15, 7, 12, 4, 13, 5)},
383.               {'inv': 52, 'pair': (10, 10), 'perm': (10, 8, 2, 0, 11, 9, 3, 1, 14, 12, 6, 4, 15, 13, 7, 5)},
384.               {'inv': 56, 'pair': (3, 22), 'perm': (3, 7, 11, 15, 1, 5, 9, 13, 2, 6, 10, 14, 0, 4, 8, 12)},
385.               {'inv': 56, 'pair': (5, 17), 'perm': (5, 13, 1, 9, 4, 12, 0, 8, 7, 15, 3, 11, 6, 14, 2, 10)},
386.               {'inv': 56, 'pair': (5, 22), 'perm': (5, 1, 13, 9, 7, 3, 15, 11, 4, 0, 12, 8, 6, 2, 14, 10)},
387.               {'inv': 56, 'pair': (6, 22), 'perm': (6, 2, 14, 10, 4, 0, 12, 8, 7, 3, 15, 11, 5, 1, 13, 9)},
388.               {'inv': 56, 'pair': (9, 17), 'perm': (9, 1, 13, 5, 8, 0, 12, 4, 11, 3, 15, 7, 10, 2, 14, 6)},
389.               {'inv': 56, 'pair': (12, 17), 'perm': (12, 4, 8, 0, 13, 5, 9, 1, 14, 6, 10, 2, 15, 7, 11, 3)},
390.               {'inv': 64, 'pair': (3, 17), 'perm': (3, 11, 7, 15, 2, 10, 6, 14, 1, 9, 5, 13, 0, 8, 4, 12)},
391.               {'inv': 64, 'pair': (6, 17), 'perm': (6, 14, 2, 10, 7, 15, 3, 11, 4, 12, 0, 8, 5, 13, 1, 9)},
392.               {'inv': 64, 'pair': (9, 22), 'perm': (9, 13, 1, 5, 11, 15, 3, 7, 8, 12, 0, 4, 10, 14, 2, 6)},
393.               {'inv': 64, 'pair': (10, 17), 'perm': (10, 2, 14, 6, 11, 3, 15, 7, 8, 0, 12, 4, 9, 1, 13, 5)},
394.               {'inv': 64, 'pair': (10, 22), 'perm': (10, 14, 2, 6, 8, 12, 0, 4, 11, 15, 3, 7, 9, 13, 1, 5)},
395.               {'inv': 64, 'pair': (12, 22), 'perm': (12, 8, 4, 0, 14, 10, 6, 2, 13, 9, 5, 1, 15, 11, 7, 3)},
396.               {'inv': 68, 'pair': (5, 9), 'perm': (5, 13, 4, 12, 7, 15, 6, 14, 1, 9, 0, 8, 3, 11, 2, 10)},
397.               {'inv': 68, 'pair': (5, 10), 'perm': (5, 7, 13, 15, 4, 6, 12, 14, 1, 3, 9, 11, 0, 2, 8, 10)},
398.               {'inv': 68, 'pair': (6, 10), 'perm': (6, 4, 14, 12, 7, 5, 15, 13, 2, 0, 10, 8, 3, 1, 11, 9)},
399.               {'inv': 68, 'pair': (9, 13), 'perm': (9, 13, 8, 12, 1, 5, 0, 4, 11, 15, 10, 14, 3, 7, 2, 6)},
400.               {'inv': 68, 'pair': (9, 18), 'perm': (9, 11, 13, 15, 1, 3, 5, 7, 8, 10, 12, 14, 0, 2, 4, 6)},
401.               {'inv': 68, 'pair': (10, 18), 'perm': (10, 8, 14, 12, 2, 0, 6, 4, 11, 9, 15, 13, 3, 1, 7, 5)},
402.               {'inv': 68, 'pair': (12, 9), 'perm': (12, 4, 13, 5, 14, 6, 15, 7, 8, 0, 9, 1, 10, 2, 11, 3)},
403.               {'inv': 68, 'pair': (12, 13), 'perm': (12, 8, 13, 9, 4, 0, 5, 1, 14, 10, 15, 11, 6, 2, 7, 3)},
404.               {'inv': 76, 'pair': (6, 9), 'perm': (6, 14, 7, 15, 4, 12, 5, 13, 2, 10, 3, 11, 0, 8, 1, 9)},
405.               {'inv': 76, 'pair': (10, 13), 'perm': (10, 14, 11, 15, 2, 6, 3, 7, 8, 12, 9, 13, 0, 4, 1, 5)},
406.               {'inv': 76, 'pair': (12, 10), 'perm': (12, 14, 4, 6, 13, 15, 5, 7, 8, 10, 0, 2, 9, 11, 1, 3)},
407.               {'inv': 76, 'pair': (12, 18), 'perm': (12, 14, 8, 10, 4, 6, 0, 2, 13, 15, 9, 11, 5, 7, 1, 3)},
408.               {'inv': 80, 'pair': (15, 17), 'perm': (15, 7, 11, 3, 14, 6, 10, 2, 13, 5, 9, 1, 12, 4, 8, 0)},
409.               {'inv': 80, 'pair': (15, 22), 'perm': (15, 11, 7, 3, 13, 9, 5, 1, 14, 10, 6, 2, 12, 8, 4, 0)},
410.               {'inv': 92, 'pair': (15, 9), 'perm': (15, 7, 14, 6, 13, 5, 12, 4, 11, 3, 10, 2, 9, 1, 8, 0)},
411.               {'inv': 92, 'pair': (15, 10), 'perm': (15, 13, 7, 5, 14, 12, 6, 4, 11, 9, 3, 1, 10, 8, 2, 0)},
412.               {'inv': 92, 'pair': (15, 13), 'perm': (15, 11, 14, 10, 7, 3, 6, 2, 13, 9, 12, 8, 5, 1, 4, 0)},
413.               {'inv': 92, 'pair': (15, 18), 'perm': (15, 13, 11, 9, 7, 5, 3, 1, 14, 12, 10, 8, 6, 4, 2, 0)}]},
414.
415.     ############################
416.
417.     {'size': 48, 'mininv': 36, 'selfinv': False, 'selfcomp': True, 'transp': 14, 'cycles': {8: 2},
418.      'list': [{'inv': 36, 'pair': (1, 9), 'perm': (1, 9, 0, 8, 3, 11, 2, 10, 5, 13, 4, 12, 7, 15, 6, 14)},
419.               {'inv': 36, 'pair': (1, 10), 'perm': (1, 3, 9, 11, 0, 2, 8, 10, 5, 7, 13, 15, 4, 6, 12, 14)},
420.               {'inv': 36, 'pair': (1, 13), 'perm': (1, 5, 0, 4, 9, 13, 8, 12, 3, 7, 2, 6, 11, 15, 10, 14)},
421.               {'inv': 36, 'pair': (1, 18), 'perm': (1, 3, 5, 7, 9, 11, 13, 15, 0, 2, 4, 6, 8, 10, 12, 14)},
422.               {'inv': 36, 'pair': (2, 10), 'perm': (2, 0, 10, 8, 3, 1, 11, 9, 6, 4, 14, 12, 7, 5, 15, 13)},
423.               {'inv': 36, 'pair': (2, 18), 'perm': (2, 0, 6, 4, 10, 8, 14, 12, 3, 1, 7, 5, 11, 9, 15, 13)},
424.               {'inv': 36, 'pair': (4, 13), 'perm': (4, 0, 5, 1, 12, 8, 13, 9, 6, 2, 7, 3, 14, 10, 15, 11)},
425.               {'inv': 36, 'pair': (8, 9), 'perm': (8, 0, 9, 1, 10, 2, 11, 3, 12, 4, 13, 5, 14, 6, 15, 7)},
426.               {'inv': 44, 'pair': (2, 9), 'perm': (2, 10, 3, 11, 0, 8, 1, 9, 6, 14, 7, 15, 4, 12, 5, 13)},
427.               {'inv': 44, 'pair': (2, 13), 'perm': (2, 6, 3, 7, 10, 14, 11, 15, 0, 4, 1, 5, 8, 12, 9, 13)},
428.               {'inv': 44, 'pair': (4, 18), 'perm': (4, 6, 0, 2, 12, 14, 8, 10, 5, 7, 1, 3, 13, 15, 9, 11)},
429.               {'inv': 44, 'pair': (8, 10), 'perm': (8, 10, 0, 2, 9, 11, 1, 3, 12, 14, 4, 6, 13, 15, 5, 7)},
430.               {'inv': 48, 'pair': (1, 17), 'perm': (1, 9, 5, 13, 0, 8, 4, 12, 3, 11, 7, 15, 2, 10, 6, 14)},
431.               {'inv': 48, 'pair': (1, 22), 'perm': (1, 5, 9, 13, 3, 7, 11, 15, 0, 4, 8, 12, 2, 6, 10, 14)},
432.               {'inv': 48, 'pair': (2, 22), 'perm': (2, 6, 10, 14, 0, 4, 8, 12, 3, 7, 11, 15, 1, 5, 9, 13)},
433.               {'inv': 48, 'pair': (4, 17), 'perm': (4, 12, 0, 8, 5, 13, 1, 9, 6, 14, 2, 10, 7, 15, 3, 11)},
434.               {'inv': 48, 'pair': (4, 22), 'perm': (4, 0, 12, 8, 6, 2, 14, 10, 5, 1, 13, 9, 7, 3, 15, 11)},
435.               {'inv': 48, 'pair': (8, 17), 'perm': (8, 0, 12, 4, 9, 1, 13, 5, 10, 2, 14, 6, 11, 3, 15, 7)},
436.               {'inv': 56, 'pair': (2, 17), 'perm': (2, 10, 6, 14, 3, 11, 7, 15, 0, 8, 4, 12, 1, 9, 5, 13)},
437.               {'inv': 56, 'pair': (8, 22), 'perm': (8, 12, 0, 4, 10, 14, 2, 6, 9, 13, 1, 5, 11, 15, 3, 7)},
438.               {'inv': 60, 'pair': (4, 9), 'perm': (4, 12, 5, 13, 6, 14, 7, 15, 0, 8, 1, 9, 2, 10, 3, 11)},
439.               {'inv': 60, 'pair': (4, 10), 'perm': (4, 6, 12, 14, 5, 7, 13, 15, 0, 2, 8, 10, 1, 3, 9, 11)},
440.               {'inv': 60, 'pair': (7, 13), 'perm': (7, 3, 6, 2, 15, 11, 14, 10, 5, 1, 4, 0, 13, 9, 12, 8)},
441.               {'inv': 60, 'pair': (7, 18), 'perm': (7, 5, 3, 1, 15, 13, 11, 9, 6, 4, 2, 0, 14, 12, 10, 8)},
442.               {'inv': 60, 'pair': (8, 13), 'perm': (8, 12, 9, 13, 0, 4, 1, 5, 10, 14, 11, 15, 2, 6, 3, 7)},
443.               {'inv': 60, 'pair': (8, 18), 'perm': (8, 10, 12, 14, 0, 2, 4, 6, 9, 11, 13, 15, 1, 3, 5, 7)},
444.               {'inv': 60, 'pair': (11, 9), 'perm': (11, 3, 10, 2, 9, 1, 8, 0, 15, 7, 14, 6, 13, 5, 12, 4)},
445.               {'inv': 60, 'pair': (11, 10), 'perm': (11, 9, 3, 1, 10, 8, 2, 0, 15, 13, 7, 5, 14, 12, 6, 4)},
446.               {'inv': 64, 'pair': (7, 22), 'perm': (7, 3, 15, 11, 5, 1, 13, 9, 6, 2, 14, 10, 4, 0, 12, 8)},
447.               {'inv': 64, 'pair': (13, 17), 'perm': (13, 5, 9, 1, 12, 4, 8, 0, 15, 7, 11, 3, 14, 6, 10, 2)},
448.               {'inv': 72, 'pair': (7, 17), 'perm': (7, 15, 3, 11, 6, 14, 2, 10, 5, 13, 1, 9, 4, 12, 0, 8)},
449.               {'inv': 72, 'pair': (11, 17), 'perm': (11, 3, 15, 7, 10, 2, 14, 6, 9, 1, 13, 5, 8, 0, 12, 4)},
450.               {'inv': 72, 'pair': (11, 22), 'perm': (11, 15, 3, 7, 9, 13, 1, 5, 10, 14, 2, 6, 8, 12, 0, 4)},
451.               {'inv': 72, 'pair': (13, 22), 'perm': (13, 9, 5, 1, 15, 11, 7, 3, 12, 8, 4, 0, 14, 10, 6, 2)},
452.               {'inv': 72, 'pair': (14, 17), 'perm': (14, 6, 10, 2, 15, 7, 11, 3, 12, 4, 8, 0, 13, 5, 9, 1)},
453.               {'inv': 72, 'pair': (14, 22), 'perm': (14, 10, 6, 2, 12, 8, 4, 0, 15, 11, 7, 3, 13, 9, 5, 1)},
454.               {'inv': 76, 'pair': (7, 10), 'perm': (7, 5, 15, 13, 6, 4, 14, 12, 3, 1, 11, 9, 2, 0, 10, 8)},
455.               {'inv': 76, 'pair': (11, 18), 'perm': (11, 9, 15, 13, 3, 1, 7, 5, 10, 8, 14, 12, 2, 0, 6, 4)},
456.               {'inv': 76, 'pair': (13, 9), 'perm': (13, 5, 12, 4, 15, 7, 14, 6, 9, 1, 8, 0, 11, 3, 10, 2)},
457.               {'inv': 76, 'pair': (13, 13), 'perm': (13, 9, 12, 8, 5, 1, 4, 0, 15, 11, 14, 10, 7, 3, 6, 2)},
458.               {'inv': 84, 'pair': (7, 9), 'perm': (7, 15, 6, 14, 5, 13, 4, 12, 3, 11, 2, 10, 1, 9, 0, 8)},
459.               {'inv': 84, 'pair': (11, 13), 'perm': (11, 15, 10, 14, 3, 7, 2, 6, 9, 13, 8, 12, 1, 5, 0, 4)},
460.               {'inv': 84, 'pair': (13, 10), 'perm': (13, 15, 5, 7, 12, 14, 4, 6, 9, 11, 1, 3, 8, 10, 0, 2)},
461.               {'inv': 84, 'pair': (13, 18), 'perm': (13, 15, 9, 11, 5, 7, 1, 3, 12, 14, 8, 10, 4, 6, 0, 2)},
462.               {'inv': 84, 'pair': (14, 9), 'perm': (14, 6, 15, 7, 12, 4, 13, 5, 10, 2, 11, 3, 8, 0, 9, 1)},
463.               {'inv': 84, 'pair': (14, 10), 'perm': (14, 12, 6, 4, 15, 13, 7, 5, 10, 8, 2, 0, 11, 9, 3, 1)},
464.               {'inv': 84, 'pair': (14, 13), 'perm': (14, 10, 15, 11, 6, 2, 7, 3, 12, 8, 13, 9, 4, 0, 5, 1)},
465.               {'inv': 84, 'pair': (14, 18), 'perm': (14, 12, 10, 8, 6, 4, 2, 0, 15, 13, 11, 9, 7, 5, 3, 1)}]},
466.
467. ]
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