loops/data/paige.tbl
2017-10-16 21:43:09 +02:00

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#W paige.tbl Paige loops G. P. Nagy / P. Vojtechovsky
##
#H @(#)$Id: paige.tbl, v 3.1.0 2015/09/23 gap Exp $
##
#Y Copyright (C) 2004, G. P. Nagy (University of Szeged, Hungary),
#Y P. Vojtechovsky (University of Denver, USA)
##
# (MATH) Paige loops = nonassociative finite simple Moufang loops
LOOPS_paige_data := [
# implemented orders
[ 120 ],
# number of loops of given order
[ 1 ],
# the loops
[
# order 120
[
# Paige loop over GF( 2 )
[ [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38,
39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56,
57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74,
75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92,
93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107,
108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120 ],
[ 2, 1, 4, 3, 6, 5, 8, 7, 13, 14, 15, 16, 9, 10, 11, 12, 22, 21, 24, 23,
18, 17, 20, 19, 29, 30, 31, 32, 25, 26, 27, 28, 36, 35, 34, 33, 40, 39,
38, 37, 45, 46, 47, 48, 41, 42, 43, 44, 56, 55, 54, 53, 52, 51, 50, 49,
58, 57, 60, 59, 62, 61, 64, 63, 66, 65, 68, 67, 70, 69, 72, 71, 78, 77,
80, 79, 74, 73, 76, 75, 86, 85, 88, 87, 82, 81, 84, 83, 92, 91, 90, 89,
96, 95, 94, 93, 100, 99, 98, 97, 104, 103, 102, 101, 112, 111, 110,
109, 108, 107, 106, 105, 120, 119, 118, 117, 116, 115, 114, 113 ],
[ 3, 4, 1, 2, 8, 7, 6, 5, 19, 20, 17, 18, 24, 23, 22, 21, 11, 12, 9, 10,
16, 15, 14, 13, 26, 25, 32, 31, 30, 29, 28, 27, 35, 36, 33, 34, 38, 37,
40, 39, 51, 52, 49, 50, 54, 53, 56, 55, 43, 44, 41, 42, 46, 45, 48, 47,
89, 92, 91, 90, 93, 96, 95, 94, 97, 100, 99, 98, 101, 104, 103, 102,
113, 116, 115, 114, 117, 120, 119, 118, 105, 108, 107, 106, 109, 112,
111, 110, 57, 60, 59, 58, 61, 64, 63, 62, 65, 68, 67, 66, 69, 72, 71,
70, 81, 84, 83, 82, 85, 88, 87, 86, 73, 76, 75, 74, 77, 80, 79, 78 ],
[ 4, 3, 2, 1, 7, 8, 5, 6, 23, 24, 21, 22, 20, 19, 18, 17, 16, 15, 14, 13,
11, 12, 9, 10, 30, 29, 28, 27, 26, 25, 32, 31, 34, 33, 36, 35, 39, 40,
37, 38, 53, 54, 55, 56, 52, 51, 50, 49, 48, 47, 46, 45, 41, 42, 43, 44,
90, 91, 92, 89, 94, 95, 96, 93, 98, 99, 100, 97, 102, 103, 104, 101,
118, 119, 120, 117, 114, 115, 116, 113, 110, 111, 112, 109, 106, 107,
108, 105, 60, 57, 58, 59, 64, 61, 62, 63, 68, 65, 66, 67, 72, 69, 70,
71, 88, 85, 86, 87, 84, 81, 82, 83, 80, 77, 78, 79, 76, 73, 74, 75 ],
[ 5, 6, 8, 7, 1, 2, 4, 3, 10, 9, 16, 15, 14, 13, 12, 11, 21, 22, 20, 19,
17, 18, 24, 23, 37, 38, 33, 34, 40, 39, 36, 35, 27, 28, 32, 31, 25, 26,
30, 29, 52, 51, 56, 55, 53, 54, 49, 50, 47, 48, 42, 41, 45, 46, 44, 43,
73, 78, 75, 80, 77, 74, 79, 76, 81, 86, 83, 88, 85, 82, 87, 84, 57, 62,
59, 64, 61, 58, 63, 60, 65, 70, 67, 72, 69, 66, 71, 68, 113, 118, 115,
120, 117, 114, 119, 116, 105, 110, 107, 112, 109, 106, 111, 108, 97,
102, 99, 104, 101, 98, 103, 100, 89, 94, 91, 96, 93, 90, 95, 92 ],
[ 6, 5, 7, 8, 2, 1, 3, 4, 14, 13, 12, 11, 10, 9, 16, 15, 18, 17, 23, 24,
22, 21, 19, 20, 39, 40, 35, 36, 38, 37, 34, 33, 32, 31, 27, 28, 30, 29,
25, 26, 54, 53, 50, 49, 51, 52, 55, 56, 44, 43, 45, 46, 42, 41, 47, 48,
74, 77, 76, 79, 78, 73, 80, 75, 82, 85, 84, 87, 86, 81, 88, 83, 62, 57,
64, 59, 58, 61, 60, 63, 70, 65, 72, 67, 66, 69, 68, 71, 116, 119, 114,
117, 120, 115, 118, 113, 108, 111, 106, 109, 112, 107, 110, 105, 104,
99, 102, 97, 100, 103, 98, 101, 96, 91, 94, 89, 92, 95, 90, 93 ],
[ 7, 8, 6, 5, 4, 3, 1, 2, 20, 19, 22, 21, 23, 24, 17, 18, 15, 16, 10, 9,
12, 11, 13, 14, 38, 37, 36, 35, 39, 40, 33, 34, 31, 32, 28, 27, 26, 25,
29, 30, 42, 41, 48, 47, 46, 45, 44, 43, 55, 56, 52, 51, 54, 53, 49, 50,
105, 112, 107, 110, 109, 108, 111, 106, 113, 120, 115, 118, 117, 116,
119, 114, 97, 104, 99, 102, 101, 100, 103, 98, 89, 96, 91, 94, 93, 92,
95, 90, 81, 88, 83, 86, 85, 84, 87, 82, 73, 80, 75, 78, 77, 76, 79, 74,
57, 64, 59, 62, 61, 60, 63, 58, 65, 72, 67, 70, 69, 68, 71, 66 ],
[ 8, 7, 5, 6, 3, 4, 2, 1, 24, 23, 18, 17, 19, 20, 21, 22, 12, 11, 13, 14,
15, 16, 10, 9, 40, 39, 34, 33, 37, 38, 35, 36, 28, 27, 31, 32, 29, 30,
26, 25, 46, 45, 44, 43, 42, 41, 48, 47, 50, 49, 53, 54, 51, 52, 56, 55,
106, 111, 108, 109, 110, 107, 112, 105, 114, 119, 116, 117, 118, 115,
120, 113, 102, 99, 104, 97, 98, 103, 100, 101, 94, 91, 96, 89, 90, 95,
92, 93, 84, 85, 82, 87, 88, 81, 86, 83, 76, 77, 74, 79, 80, 73, 78, 75,
64, 57, 62, 59, 60, 61, 58, 63, 72, 65, 70, 67, 68, 69, 66, 71 ],
[ 9, 13, 11, 15, 10, 14, 12, 16, 1, 5, 3, 7, 2, 6, 4, 8, 19, 23, 17, 21,
20, 24, 18, 22, 57, 61, 59, 63, 58, 62, 60, 64, 75, 79, 76, 80, 73, 77,
74, 78, 66, 70, 68, 72, 65, 69, 67, 71, 83, 87, 82, 86, 81, 85, 84, 88,
25, 29, 27, 31, 26, 30, 28, 32, 45, 41, 47, 43, 46, 42, 48, 44, 37, 39,
33, 35, 38, 40, 34, 36, 53, 51, 49, 55, 54, 52, 50, 56, 93, 95, 94, 96,
89, 91, 90, 92, 109, 107, 110, 108, 105, 111, 106, 112, 101, 103, 98,
100, 97, 99, 102, 104, 117, 115, 114, 120, 113, 119, 118, 116 ],
[ 10, 14, 12, 16, 9, 13, 11, 15, 5, 1, 7, 3, 6, 2, 8, 4, 24, 20, 22, 18,
23, 19, 21, 17, 59, 63, 57, 61, 60, 64, 58, 62, 73, 77, 74, 78, 75, 79,
76, 80, 72, 68, 70, 66, 71, 67, 69, 65, 85, 81, 88, 84, 87, 83, 86, 82,
27, 31, 25, 29, 28, 32, 26, 30, 48, 44, 46, 42, 47, 43, 45, 41, 33, 35,
37, 39, 34, 36, 38, 40, 50, 56, 54, 52, 49, 55, 53, 51, 96, 94, 95, 93,
92, 90, 91, 89, 112, 106, 111, 105, 108, 110, 107, 109, 100, 98, 103,
101, 104, 102, 99, 97, 116, 118, 119, 113, 120, 114, 115, 117 ],
[ 11, 16, 9, 14, 12, 15, 10, 13, 17, 22, 19, 24, 18, 21, 20, 23, 3, 8, 1,
6, 4, 7, 2, 5, 89, 93, 92, 96, 90, 94, 91, 95, 108, 112, 107, 111, 105,
109, 106, 110, 114, 118, 115, 119, 113, 117, 116, 120, 100, 104, 98,
102, 97, 101, 99, 103, 26, 32, 28, 30, 25, 31, 27, 29, 46, 43, 48, 41,
45, 44, 47, 42, 54, 56, 49, 51, 53, 55, 50, 52, 38, 35, 33, 40, 37, 36,
34, 39, 61, 64, 62, 63, 57, 60, 58, 59, 77, 76, 78, 75, 73, 80, 74, 79,
85, 88, 82, 83, 81, 84, 86, 87, 69, 68, 66, 71, 65, 72, 70, 67 ],
[ 12, 15, 10, 13, 11, 16, 9, 14, 21, 18, 23, 20, 22, 17, 24, 19, 8, 3, 6,
1, 7, 4, 5, 2, 91, 95, 90, 94, 92, 96, 89, 93, 106, 110, 105, 109, 107,
111, 108, 112, 120, 116, 117, 113, 119, 115, 118, 114, 102, 98, 104,
100, 103, 99, 101, 97, 28, 30, 26, 32, 27, 29, 25, 31, 47, 42, 45, 44,
48, 41, 46, 43, 50, 52, 53, 55, 49, 51, 54, 56, 33, 40, 38, 35, 34, 39,
37, 36, 64, 61, 63, 62, 60, 57, 59, 58, 80, 73, 79, 74, 76, 77, 75, 78,
84, 81, 87, 86, 88, 85, 83, 82, 68, 69, 71, 66, 72, 65, 67, 70 ],
[ 13, 9, 16, 12, 14, 10, 15, 11, 2, 6, 8, 4, 1, 5, 7, 3, 23, 19, 18, 22,
24, 20, 17, 21, 65, 69, 71, 67, 66, 70, 72, 68, 87, 83, 88, 84, 81, 85,
82, 86, 58, 62, 64, 60, 57, 61, 63, 59, 79, 75, 74, 78, 73, 77, 80, 76,
45, 41, 48, 44, 46, 42, 47, 43, 25, 29, 28, 32, 26, 30, 27, 31, 53, 51,
50, 56, 54, 52, 49, 55, 37, 39, 34, 36, 38, 40, 33, 35, 117, 115, 118,
116, 113, 119, 114, 120, 101, 103, 102, 104, 97, 99, 98, 100, 109, 107,
106, 112, 105, 111, 110, 108, 93, 95, 90, 92, 89, 91, 94, 96 ],
[ 14, 10, 15, 11, 13, 9, 16, 12, 6, 2, 4, 8, 5, 1, 3, 7, 20, 24, 21, 17,
19, 23, 22, 18, 67, 71, 69, 65, 68, 72, 70, 66, 85, 81, 86, 82, 83, 87,
84, 88, 64, 60, 58, 62, 63, 59, 57, 61, 73, 77, 80, 76, 79, 75, 74, 78,
47, 43, 46, 42, 48, 44, 45, 41, 28, 32, 25, 29, 27, 31, 26, 30, 49, 55,
54, 52, 50, 56, 53, 51, 34, 36, 37, 39, 33, 35, 38, 40, 120, 114, 119,
113, 116, 118, 115, 117, 104, 102, 103, 101, 100, 98, 99, 97, 108, 110,
111, 105, 112, 106, 107, 109, 92, 90, 95, 93, 96, 94, 91, 89 ],
[ 15, 12, 14, 9, 16, 11, 13, 10, 18, 21, 24, 19, 17, 22, 23, 20, 7, 4, 2,
5, 8, 3, 1, 6, 97, 101, 104, 100, 98, 102, 103, 99, 120, 116, 119, 115,
113, 117, 114, 118, 106, 110, 111, 107, 105, 109, 112, 108, 96, 92, 90,
94, 89, 93, 95, 91, 46, 44, 47, 41, 45, 43, 48, 42, 26, 31, 27, 30, 25,
32, 28, 29, 38, 36, 34, 40, 37, 35, 33, 39, 54, 55, 50, 51, 53, 56, 49,
52, 85, 84, 86, 83, 81, 88, 82, 87, 69, 72, 70, 71, 65, 68, 66, 67, 61,
60, 58, 63, 57, 64, 62, 59, 77, 80, 74, 75, 73, 76, 78, 79 ],
[ 16, 11, 13, 10, 15, 12, 14, 9, 22, 17, 20, 23, 21, 18, 19, 24, 4, 7, 5,
2, 3, 8, 6, 1, 99, 103, 102, 98, 100, 104, 101, 97, 118, 114, 117, 113,
115, 119, 116, 120, 112, 108, 105, 109, 111, 107, 106, 110, 90, 94, 96,
92, 95, 91, 89, 93, 48, 42, 45, 43, 47, 41, 46, 44, 27, 30, 26, 31, 28,
29, 25, 32, 34, 40, 38, 36, 33, 39, 37, 35, 49, 52, 53, 56, 50, 51, 54,
55, 88, 81, 87, 82, 84, 85, 83, 86, 72, 69, 71, 70, 68, 65, 67, 66, 60,
61, 63, 58, 64, 57, 59, 62, 76, 73, 79, 78, 80, 77, 75, 74 ],
[ 17, 22, 19, 24, 21, 18, 23, 20, 11, 16, 9, 14, 15, 12, 13, 10, 1, 6, 3,
8, 5, 2, 7, 4, 93, 89, 94, 90, 96, 92, 95, 91, 114, 118, 115, 119, 117,
113, 120, 116, 108, 112, 107, 111, 109, 105, 110, 106, 98, 102, 100,
104, 101, 97, 103, 99, 61, 62, 64, 63, 57, 58, 60, 59, 85, 82, 88, 83,
81, 86, 84, 87, 77, 78, 76, 75, 73, 74, 80, 79, 69, 66, 68, 71, 65, 70,
72, 67, 26, 28, 32, 30, 25, 27, 31, 29, 54, 49, 56, 51, 53, 50, 55, 52,
46, 48, 43, 41, 45, 47, 44, 42, 38, 33, 35, 40, 37, 34, 36, 39 ],
[ 18, 21, 20, 23, 22, 17, 24, 19, 15, 12, 13, 10, 11, 16, 9, 14, 6, 1, 8,
3, 2, 5, 4, 7, 95, 91, 96, 92, 94, 90, 93, 89, 116, 120, 113, 117, 119,
115, 118, 114, 110, 106, 109, 105, 107, 111, 108, 112, 104, 100, 102,
98, 99, 103, 97, 101, 62, 61, 63, 64, 58, 57, 59, 60, 86, 81, 87, 84,
82, 85, 83, 88, 74, 73, 79, 80, 78, 77, 75, 76, 66, 69, 71, 68, 70, 65,
67, 72, 32, 30, 26, 28, 31, 29, 25, 27, 55, 52, 53, 50, 56, 51, 54, 49,
44, 42, 45, 47, 43, 41, 46, 48, 35, 40, 38, 33, 36, 39, 37, 34 ],
[ 19, 23, 17, 21, 24, 20, 22, 18, 3, 7, 1, 5, 8, 4, 6, 2, 9, 13, 11, 15,
14, 10, 16, 12, 61, 57, 63, 59, 64, 60, 62, 58, 83, 87, 82, 86, 85, 81,
88, 84, 68, 72, 66, 70, 69, 65, 71, 67, 75, 79, 76, 80, 77, 73, 78, 74,
93, 95, 96, 94, 89, 91, 92, 90, 117, 115, 120, 114, 113, 119, 116, 118,
101, 103, 100, 98, 97, 99, 104, 102, 109, 107, 108, 110, 105, 111, 112,
106, 25, 29, 31, 27, 26, 30, 32, 28, 53, 51, 55, 49, 54, 52, 56, 50,
37, 39, 35, 33, 38, 40, 36, 34, 45, 41, 43, 47, 46, 42, 44, 48 ],
[ 20, 24, 18, 22, 23, 19, 21, 17, 7, 3, 5, 1, 4, 8, 2, 6, 14, 10, 16, 12,
9, 13, 11, 15, 63, 59, 61, 57, 62, 58, 64, 60, 81, 85, 84, 88, 87, 83,
86, 82, 70, 66, 72, 68, 67, 71, 65, 69, 77, 73, 78, 74, 75, 79, 76, 80,
94, 96, 95, 93, 90, 92, 91, 89, 118, 116, 119, 113, 114, 120, 115, 117,
98, 100, 103, 101, 102, 104, 99, 97, 106, 112, 111, 105, 110, 108, 107,
109, 31, 27, 25, 29, 32, 28, 26, 30, 56, 50, 54, 52, 55, 49, 53, 51,
35, 33, 37, 39, 36, 34, 38, 40, 44, 48, 46, 42, 43, 47, 45, 41 ],
[ 21, 18, 24, 19, 17, 22, 20, 23, 12, 15, 14, 9, 16, 11, 10, 13, 5, 2, 4,
7, 1, 6, 8, 3, 101, 97, 98, 102, 104, 100, 99, 103, 110, 106, 111, 107,
109, 105, 112, 108, 116, 120, 119, 115, 117, 113, 114, 118, 94, 90, 92,
96, 93, 89, 91, 95, 77, 74, 80, 75, 73, 78, 76, 79, 69, 70, 72, 71, 65,
66, 68, 67, 61, 58, 60, 63, 57, 62, 64, 59, 85, 86, 84, 83, 81, 82, 88,
87, 54, 50, 55, 51, 53, 49, 56, 52, 26, 27, 31, 30, 25, 28, 32, 29, 38,
34, 36, 40, 37, 33, 35, 39, 46, 47, 44, 41, 45, 48, 43, 42 ],
[ 22, 17, 23, 20, 18, 21, 19, 24, 16, 11, 10, 13, 12, 15, 14, 9, 2, 5, 7,
4, 6, 1, 3, 8, 103, 99, 100, 104, 102, 98, 97, 101, 112, 108, 109, 105,
111, 107, 110, 106, 118, 114, 113, 117, 115, 119, 120, 116, 92, 96, 94,
90, 91, 95, 93, 89, 78, 73, 79, 76, 74, 77, 75, 80, 70, 69, 71, 72, 66,
65, 67, 68, 58, 61, 63, 60, 62, 57, 59, 64, 82, 81, 87, 88, 86, 85, 83,
84, 56, 52, 53, 49, 55, 51, 54, 50, 31, 30, 26, 27, 32, 29, 25, 28, 36,
40, 38, 34, 35, 39, 37, 33, 43, 42, 45, 48, 44, 41, 46, 47 ],
[ 23, 19, 22, 18, 20, 24, 17, 21, 4, 8, 6, 2, 7, 3, 1, 5, 13, 9, 12, 16,
10, 14, 15, 11, 69, 65, 67, 71, 72, 68, 66, 70, 79, 75, 78, 74, 77, 73,
80, 76, 60, 64, 62, 58, 61, 57, 59, 63, 87, 83, 84, 88, 85, 81, 82, 86,
109, 107, 112, 106, 105, 111, 108, 110, 101, 103, 104, 102, 97, 99,
100, 98, 117, 115, 116, 118, 113, 119, 120, 114, 93, 95, 92, 90, 89,
91, 96, 94, 53, 51, 56, 50, 54, 52, 55, 49, 25, 29, 32, 28, 26, 30, 31,
27, 45, 41, 44, 48, 46, 42, 43, 47, 37, 39, 36, 34, 38, 40, 35, 33 ],
[ 24, 20, 21, 17, 19, 23, 18, 22, 8, 4, 2, 6, 3, 7, 5, 1, 10, 14, 15, 11,
13, 9, 12, 16, 71, 67, 65, 69, 70, 66, 68, 72, 77, 73, 80, 76, 79, 75,
78, 74, 62, 58, 60, 64, 59, 63, 61, 57, 81, 85, 86, 82, 83, 87, 88, 84,
110, 108, 111, 105, 106, 112, 107, 109, 102, 104, 103, 101, 98, 100,
99, 97, 114, 120, 119, 113, 118, 116, 115, 117, 90, 92, 95, 93, 94, 96,
91, 89, 55, 49, 54, 52, 56, 50, 53, 51, 32, 28, 25, 29, 31, 27, 26, 30,
43, 47, 46, 42, 44, 48, 45, 41, 36, 34, 37, 39, 35, 33, 38, 40 ],
[ 25, 29, 26, 30, 27, 31, 28, 32, 57, 59, 61, 63, 58, 60, 62, 64, 93, 95,
89, 91, 94, 96, 90, 92, 1, 3, 5, 7, 2, 4, 6, 8, 37, 39, 38, 40, 33, 35,
34, 36, 65, 67, 69, 71, 66, 68, 70, 72, 101, 103, 97, 99, 98, 100, 102,
104, 9, 13, 10, 14, 11, 15, 12, 16, 41, 45, 42, 46, 43, 47, 44, 48, 75,
79, 73, 77, 76, 80, 74, 78, 107, 109, 105, 111, 108, 110, 106, 112, 19,
23, 20, 24, 17, 21, 18, 22, 51, 53, 52, 54, 49, 55, 50, 56, 83, 87, 81,
85, 82, 86, 84, 88, 115, 117, 113, 119, 114, 120, 116, 118 ],
[ 26, 30, 25, 29, 28, 32, 27, 31, 61, 63, 57, 59, 62, 64, 58, 60, 89, 91,
93, 95, 90, 92, 94, 96, 3, 1, 7, 5, 4, 2, 8, 6, 40, 38, 39, 37, 36, 34,
35, 33, 71, 69, 67, 65, 72, 70, 68, 66, 99, 97, 103, 101, 104, 102,
100, 98, 11, 15, 12, 16, 9, 13, 10, 14, 44, 48, 43, 47, 42, 46, 41, 45,
80, 76, 78, 74, 79, 75, 77, 73, 112, 106, 110, 108, 111, 105, 109, 107,
17, 21, 18, 22, 19, 23, 20, 24, 50, 56, 49, 55, 52, 54, 51, 53, 86, 82,
88, 84, 87, 83, 85, 81, 118, 116, 120, 114, 119, 113, 117, 115 ],
[ 27, 32, 28, 31, 25, 30, 26, 29, 73, 75, 78, 80, 74, 76, 77, 79, 110, 112,
105, 107, 109, 111, 106, 108, 33, 36, 37, 40, 34, 35, 38, 39, 5, 8, 6,
7, 1, 4, 2, 3, 113, 115, 118, 120, 114, 116, 117, 119, 86, 88, 81, 83,
82, 84, 85, 87, 10, 16, 9, 15, 12, 14, 11, 13, 42, 47, 41, 48, 44, 45,
43, 46, 59, 64, 57, 62, 60, 63, 58, 61, 91, 94, 89, 96, 92, 93, 90, 95,
52, 56, 51, 55, 49, 53, 50, 54, 20, 21, 19, 22, 17, 24, 18, 23, 99,
104, 97, 102, 98, 101, 100, 103, 67, 70, 65, 72, 66, 71, 68, 69 ],
[ 28, 31, 27, 32, 26, 29, 25, 30, 77, 79, 74, 76, 78, 80, 73, 75, 106, 108,
109, 111, 105, 107, 110, 112, 35, 34, 39, 38, 36, 33, 40, 37, 8, 5, 7,
6, 4, 1, 3, 2, 119, 117, 116, 114, 120, 118, 115, 113, 84, 82, 87, 85,
88, 86, 83, 81, 12, 14, 11, 13, 10, 16, 9, 15, 43, 46, 44, 45, 41, 48,
42, 47, 64, 59, 62, 57, 63, 60, 61, 58, 96, 89, 94, 91, 95, 90, 93, 92,
50, 54, 49, 53, 51, 55, 52, 56, 17, 24, 18, 23, 20, 21, 19, 22, 102,
97, 104, 99, 103, 100, 101, 98, 70, 67, 72, 65, 71, 66, 69, 68 ],
[ 29, 25, 30, 26, 32, 28, 31, 27, 65, 67, 71, 69, 66, 68, 72, 70, 103, 101,
97, 99, 104, 102, 98, 100, 2, 4, 8, 6, 1, 3, 7, 5, 39, 37, 40, 38, 34,
36, 33, 35, 57, 59, 63, 61, 58, 60, 64, 62, 95, 93, 89, 91, 90, 92, 96,
94, 41, 45, 42, 46, 44, 48, 43, 47, 9, 13, 10, 14, 12, 16, 11, 15, 115,
117, 113, 119, 116, 118, 114, 120, 83, 87, 81, 85, 84, 88, 82, 86, 51,
53, 52, 54, 50, 56, 49, 55, 19, 23, 20, 24, 18, 22, 17, 21, 107, 109,
105, 111, 106, 112, 108, 110, 75, 79, 73, 77, 74, 78, 76, 80 ],
[ 30, 26, 29, 25, 31, 27, 32, 28, 69, 71, 67, 65, 70, 72, 68, 66, 99, 97,
101, 103, 100, 98, 102, 104, 4, 2, 6, 8, 3, 1, 5, 7, 38, 40, 37, 39,
35, 33, 36, 34, 63, 61, 57, 59, 64, 62, 58, 60, 89, 91, 95, 93, 96, 94,
90, 92, 43, 47, 44, 48, 42, 46, 41, 45, 12, 16, 11, 15, 9, 13, 10, 14,
120, 114, 118, 116, 119, 113, 117, 115, 88, 84, 86, 82, 87, 83, 85, 81,
49, 55, 50, 56, 52, 54, 51, 53, 18, 22, 17, 21, 19, 23, 20, 24, 110,
108, 112, 106, 111, 105, 109, 107, 78, 74, 80, 76, 79, 75, 77, 73 ],
[ 31, 28, 32, 27, 30, 25, 29, 26, 81, 83, 88, 86, 82, 84, 87, 85, 120, 118,
113, 115, 119, 117, 114, 116, 34, 35, 40, 37, 33, 36, 39, 38, 7, 6, 8,
5, 2, 3, 1, 4, 105, 107, 112, 110, 106, 108, 111, 109, 80, 78, 73, 75,
74, 76, 79, 77, 42, 48, 41, 47, 43, 45, 44, 46, 10, 15, 9, 16, 11, 14,
12, 13, 99, 102, 97, 104, 100, 101, 98, 103, 67, 72, 65, 70, 68, 71,
66, 69, 20, 22, 19, 21, 18, 24, 17, 23, 52, 55, 51, 56, 50, 53, 49, 54,
59, 62, 57, 64, 58, 63, 60, 61, 91, 96, 89, 94, 90, 93, 92, 95 ],
[ 32, 27, 31, 28, 29, 26, 30, 25, 85, 87, 84, 82, 86, 88, 83, 81, 116, 114,
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64, 35, 96, 107, 45, 81, 24, 92, 28, 66, 7, 75, 23, 113, 46, 60, 8, 98,
27, 41, 109, 10, 77, 34, 104, 1, 72, 9, 87, 42, 119, 2, 62, 33, 94,
115, 53, 73, 14, 90, 32, 68, 5, 83, 13, 105, 54, 58, 6, 100, 31 ],
[ 96, 102, 64, 70, 111, 117, 79, 85, 113, 107, 56, 47, 98, 92, 39, 26, 55,
48, 81, 75, 40, 25, 66, 60, 50, 43, 119, 109, 17, 12, 87, 77, 72, 62,
104, 94, 18, 11, 49, 44, 73, 83, 16, 21, 90, 100, 30, 37, 15, 22, 105,
115, 58, 68, 29, 38, 52, 118, 19, 86, 35, 101, 4, 69, 20, 80, 51, 112,
3, 63, 36, 95, 91, 28, 65, 8, 108, 45, 82, 23, 59, 7, 97, 27, 76, 24,
114, 46, 10, 78, 41, 110, 2, 71, 33, 103, 42, 120, 9, 88, 34, 93, 1,
61, 67, 6, 89, 32, 74, 14, 116, 54, 99, 31, 57, 5, 106, 53, 84, 13 ],
[ 97, 91, 67, 57, 118, 112, 88, 78, 95, 101, 29, 37, 108, 114, 43, 49, 38,
30, 71, 61, 50, 44, 84, 74, 15, 21, 80, 86, 47, 55, 110, 120, 99, 89,
65, 59, 56, 48, 22, 16, 93, 103, 25, 39, 76, 82, 11, 17, 40, 26, 69,
63, 116, 106, 18, 12, 68, 3, 98, 33, 87, 23, 117, 53, 92, 34, 58, 4,
111, 54, 77, 24, 7, 72, 31, 96, 19, 83, 41, 107, 32, 102, 8, 62, 42,
113, 20, 73, 66, 1, 100, 35, 79, 13, 109, 45, 90, 36, 60, 2, 119, 46,
85, 14, 5, 70, 27, 94, 9, 75, 51, 115, 28, 104, 6, 64, 52, 105, 10, 81 ]
, [ 98, 92, 68, 58, 117, 111, 87, 77, 107, 113, 43, 50, 96, 102, 29, 38,
49, 44, 83, 73, 37, 30, 72, 62, 47, 56, 109, 119, 15, 22, 79, 85, 66,
60, 100, 90, 21, 16, 55, 48, 75, 81, 11, 18, 94, 104, 25, 40, 17, 12,
115, 105, 70, 64, 39, 26, 67, 4, 97, 34, 88, 24, 118, 54, 91, 33, 57,
3, 112, 53, 78, 23, 20, 84, 41, 108, 8, 71, 31, 95, 42, 114, 19, 74,
32, 101, 7, 61, 99, 36, 65, 2, 110, 45, 80, 13, 59, 1, 89, 35, 86, 14,
120, 46, 52, 116, 9, 76, 27, 93, 6, 69, 10, 82, 51, 106, 5, 63, 28, 103
], [ 99, 89, 65, 59, 120, 110, 86, 80, 103, 93, 37, 29, 116, 106, 50,
44, 30, 38, 63, 69, 43, 49, 76, 82, 16, 22, 78, 88, 48, 56, 112, 118,
97, 91, 67, 57, 55, 47, 21, 15, 101, 95, 39, 25, 84, 74, 18, 12, 26,
40, 61, 71, 108, 114, 11, 17, 100, 33, 66, 3, 119, 54, 85, 24, 60, 4,
90, 34, 79, 23, 109, 53, 31, 94, 7, 70, 42, 105, 20, 81, 8, 64, 32,
104, 19, 75, 41, 115, 98, 35, 68, 1, 111, 46, 77, 14, 58, 2, 92, 36,
87, 13, 117, 45, 27, 96, 5, 72, 52, 113, 10, 73, 6, 62, 28, 102, 9, 83,
51, 107 ],
[ 100, 90, 66, 60, 119, 109, 85, 79, 115, 105, 49, 44, 104, 94, 38, 29, 43,
50, 75, 81, 30, 37, 64, 70, 48, 55, 111, 117, 16, 21, 77, 87, 68, 58,
98, 92, 22, 15, 56, 47, 83, 73, 17, 12, 102, 96, 40, 25, 11, 18, 107,
113, 62, 72, 26, 39, 99, 34, 65, 4, 120, 53, 86, 23, 59, 3, 89, 33, 80,
24, 110, 54, 42, 106, 19, 82, 31, 93, 8, 69, 20, 76, 41, 116, 7, 63,
32, 103, 67, 2, 97, 36, 78, 14, 112, 46, 91, 35, 57, 1, 118, 45, 88,
13, 10, 74, 51, 114, 6, 71, 27, 95, 52, 108, 9, 84, 28, 101, 5, 61 ],
[ 101, 95, 71, 61, 114, 108, 84, 74, 91, 97, 30, 38, 112, 118, 44, 50, 37,
29, 67, 57, 49, 43, 88, 78, 21, 15, 82, 76, 56, 48, 116, 106, 93, 103,
63, 69, 47, 55, 16, 22, 99, 89, 40, 26, 86, 80, 17, 11, 25, 39, 59, 65,
110, 120, 12, 18, 83, 23, 113, 54, 72, 3, 102, 34, 107, 53, 73, 24, 96,
33, 62, 4, 19, 87, 42, 111, 7, 68, 32, 92, 41, 117, 20, 77, 31, 98, 8,
58, 75, 13, 105, 46, 70, 1, 104, 36, 115, 45, 81, 14, 94, 35, 64, 2, 9,
79, 52, 119, 5, 66, 28, 90, 51, 109, 10, 85, 27, 100, 6, 60 ],
[ 102, 96, 72, 62, 113, 107, 83, 73, 111, 117, 44, 49, 92, 98, 30, 37, 50,
43, 87, 77, 38, 29, 68, 58, 55, 48, 115, 105, 22, 15, 81, 75, 64, 70,
94, 104, 16, 21, 47, 56, 85, 79, 18, 11, 100, 90, 39, 26, 12, 17, 109,
119, 60, 66, 25, 40, 84, 24, 114, 53, 71, 4, 101, 33, 108, 54, 74, 23,
95, 34, 61, 3, 8, 67, 32, 91, 20, 88, 42, 112, 31, 97, 7, 57, 41, 118,
19, 78, 106, 46, 76, 13, 103, 35, 69, 2, 82, 14, 116, 45, 63, 1, 93,
36, 28, 89, 6, 65, 51, 120, 9, 80, 5, 59, 27, 99, 10, 86, 52, 110 ],
[ 103, 93, 69, 63, 116, 106, 82, 76, 99, 89, 38, 30, 120, 110, 49, 43, 29,
37, 59, 65, 44, 50, 80, 86, 22, 16, 84, 74, 55, 47, 114, 108, 95, 101,
61, 71, 48, 56, 15, 21, 91, 97, 26, 40, 78, 88, 12, 18, 39, 25, 67, 57,
118, 112, 17, 11, 115, 53, 81, 24, 104, 34, 70, 3, 75, 23, 105, 54, 64,
4, 94, 33, 41, 109, 20, 85, 32, 90, 7, 66, 19, 79, 42, 119, 8, 60, 31,
100, 107, 45, 73, 14, 102, 36, 72, 1, 83, 13, 113, 46, 62, 2, 96, 35,
51, 117, 10, 77, 28, 92, 5, 68, 9, 87, 52, 111, 6, 58, 27, 98 ],
[ 104, 94, 70, 64, 115, 105, 81, 75, 119, 109, 50, 43, 100, 90, 37, 30, 44,
49, 79, 85, 29, 38, 60, 66, 56, 47, 113, 107, 21, 16, 83, 73, 62, 72,
96, 102, 15, 22, 48, 55, 77, 87, 12, 17, 92, 98, 26, 39, 18, 11, 117,
111, 68, 58, 40, 25, 116, 54, 82, 23, 103, 33, 69, 4, 76, 24, 106, 53,
63, 3, 93, 34, 32, 89, 8, 65, 41, 110, 19, 86, 7, 59, 31, 99, 20, 80,
42, 120, 74, 14, 108, 45, 71, 2, 101, 35, 114, 46, 84, 13, 95, 36, 61,
1, 6, 67, 28, 91, 10, 78, 52, 118, 27, 97, 5, 57, 51, 112, 9, 88 ],
[ 105, 119, 74, 88, 90, 104, 57, 71, 94, 100, 27, 35, 109, 115, 45, 51, 46,
52, 78, 84, 28, 36, 61, 67, 76, 86, 11, 21, 107, 117, 41, 53, 42, 54,
12, 22, 92, 102, 59, 69, 31, 33, 96, 98, 15, 17, 80, 82, 111, 113, 16,
18, 32, 34, 63, 65, 7, 72, 39, 103, 23, 87, 55, 120, 56, 106, 24, 73,
40, 89, 8, 58, 68, 3, 93, 25, 83, 19, 110, 47, 116, 48, 77, 20, 99, 26,
62, 4, 70, 5, 101, 37, 75, 9, 108, 43, 118, 44, 85, 10, 91, 38, 60, 6,
1, 66, 29, 95, 13, 79, 49, 114, 50, 112, 14, 81, 30, 97, 2, 64 ],
[ 106, 120, 73, 87, 89, 103, 58, 72, 110, 116, 45, 52, 93, 99, 27, 36, 28,
35, 62, 68, 46, 51, 77, 83, 108, 118, 41, 54, 75, 85, 11, 22, 12, 21,
42, 53, 60, 70, 91, 101, 15, 18, 79, 81, 31, 34, 95, 97, 64, 66, 32,
33, 16, 17, 112, 114, 8, 71, 40, 104, 24, 88, 56, 119, 55, 105, 23, 74,
39, 90, 7, 57, 84, 20, 109, 47, 67, 4, 94, 25, 100, 26, 61, 3, 115, 48,
78, 19, 102, 38, 69, 6, 107, 43, 76, 9, 86, 10, 117, 44, 59, 5, 92, 37,
50, 113, 13, 80, 29, 96, 2, 65, 1, 63, 30, 98, 14, 82, 49, 111 ],
[ 107, 117, 76, 86, 92, 102, 59, 69, 98, 96, 35, 27, 113, 111, 52, 46, 51,
45, 82, 80, 36, 28, 65, 63, 74, 88, 12, 22, 105, 119, 42, 54, 41, 53,
11, 21, 90, 104, 57, 71, 33, 31, 100, 94, 18, 16, 84, 78, 115, 109, 17,
15, 34, 32, 67, 61, 39, 101, 7, 70, 56, 118, 24, 85, 23, 75, 55, 108,
8, 60, 40, 91, 95, 25, 66, 3, 112, 48, 81, 20, 79, 19, 114, 47, 64, 4,
97, 26, 103, 37, 72, 5, 106, 44, 73, 10, 87, 9, 120, 43, 58, 6, 89, 38,
29, 93, 1, 68, 50, 116, 14, 77, 13, 83, 49, 110, 2, 62, 30, 99 ],
[ 108, 118, 75, 85, 91, 101, 60, 70, 114, 112, 51, 46, 97, 95, 36, 27, 35,
28, 66, 64, 52, 45, 81, 79, 106, 120, 42, 53, 73, 87, 12, 21, 11, 22,
41, 54, 58, 72, 89, 103, 17, 16, 83, 77, 34, 31, 99, 93, 68, 62, 33,
32, 18, 15, 116, 110, 40, 102, 8, 69, 55, 117, 23, 86, 24, 76, 56, 107,
7, 59, 39, 92, 111, 48, 82, 19, 96, 25, 65, 4, 63, 3, 98, 26, 80, 20,
113, 47, 71, 6, 104, 38, 74, 10, 105, 44, 119, 43, 88, 9, 90, 37, 57,
5, 14, 78, 49, 115, 2, 67, 29, 94, 30, 100, 1, 61, 50, 109, 13, 84 ],
[ 109, 115, 78, 84, 94, 100, 61, 67, 90, 104, 28, 36, 105, 119, 46, 52, 45,
51, 74, 88, 27, 35, 57, 71, 82, 80, 21, 11, 113, 111, 54, 42, 53, 41,
22, 12, 98, 96, 65, 63, 34, 32, 102, 92, 17, 15, 86, 76, 117, 107, 18,
16, 33, 31, 69, 59, 23, 83, 56, 116, 7, 68, 40, 99, 39, 93, 8, 62, 55,
110, 24, 77, 87, 19, 106, 48, 72, 3, 89, 26, 103, 25, 58, 4, 120, 47,
73, 20, 79, 9, 112, 44, 66, 5, 97, 38, 95, 37, 64, 6, 114, 43, 81, 10,
13, 75, 50, 118, 1, 70, 30, 91, 29, 101, 2, 60, 49, 108, 14, 85 ],
[ 110, 116, 77, 83, 93, 99, 62, 68, 106, 120, 46, 51, 89, 103, 28, 35, 27,
36, 58, 72, 45, 52, 73, 87, 114, 112, 53, 42, 81, 79, 22, 11, 21, 12,
54, 41, 66, 64, 97, 95, 18, 15, 85, 75, 33, 32, 101, 91, 70, 60, 34,
31, 17, 16, 118, 108, 24, 84, 55, 115, 8, 67, 39, 100, 40, 94, 7, 61,
56, 109, 23, 78, 71, 4, 90, 26, 88, 20, 105, 48, 119, 47, 74, 19, 104,
25, 57, 3, 111, 44, 80, 9, 98, 37, 65, 6, 63, 5, 96, 38, 82, 10, 113,
43, 30, 92, 2, 69, 49, 117, 13, 76, 14, 86, 50, 107, 1, 59, 29, 102 ],
[ 111, 113, 80, 82, 96, 98, 63, 65, 102, 92, 36, 28, 117, 107, 51, 45, 52,
46, 86, 76, 35, 27, 69, 59, 84, 78, 22, 12, 115, 109, 53, 41, 54, 42,
21, 11, 100, 94, 67, 61, 32, 34, 90, 104, 16, 18, 74, 88, 105, 119, 15,
17, 31, 33, 57, 71, 55, 114, 24, 81, 40, 97, 7, 66, 8, 64, 39, 95, 23,
79, 56, 112, 108, 47, 85, 20, 91, 26, 70, 3, 60, 4, 101, 25, 75, 19,
118, 48, 110, 43, 77, 10, 99, 38, 68, 5, 62, 6, 93, 37, 83, 9, 116, 44,
49, 120, 14, 73, 30, 89, 1, 72, 2, 58, 29, 103, 13, 87, 50, 106 ],
[ 112, 114, 79, 81, 95, 97, 64, 66, 118, 108, 52, 45, 101, 91, 35, 28, 36,
27, 70, 60, 51, 46, 85, 75, 116, 110, 54, 41, 83, 77, 21, 12, 22, 11,
53, 42, 68, 62, 99, 93, 16, 17, 73, 87, 32, 33, 89, 103, 58, 72, 31,
34, 15, 18, 106, 120, 56, 113, 23, 82, 39, 98, 8, 65, 7, 63, 40, 96,
24, 80, 55, 111, 92, 26, 69, 4, 107, 47, 86, 19, 76, 20, 117, 48, 59,
3, 102, 25, 78, 10, 109, 43, 67, 6, 100, 37, 94, 38, 61, 5, 115, 44,
84, 9, 2, 71, 30, 90, 14, 74, 50, 119, 49, 105, 13, 88, 29, 104, 1, 57 ]
, [ 113, 111, 84, 78, 102, 92, 71, 57, 96, 98, 31, 33, 107, 117, 41, 53,
54, 42, 88, 74, 34, 32, 67, 61, 80, 82, 15, 17, 109, 115, 45, 51, 52,
46, 18, 16, 104, 90, 69, 59, 27, 35, 94, 100, 11, 21, 76, 86, 119, 105,
22, 12, 36, 28, 65, 63, 72, 7, 101, 37, 83, 19, 114, 49, 112, 50, 77,
20, 91, 38, 58, 8, 3, 68, 29, 95, 23, 87, 43, 108, 44, 118, 24, 73, 30,
97, 4, 62, 5, 70, 39, 103, 13, 79, 47, 110, 48, 116, 14, 81, 40, 89, 6,
60, 66, 1, 93, 25, 75, 9, 120, 55, 106, 56, 85, 10, 99, 26, 64, 2 ],
[ 114, 112, 83, 77, 101, 91, 72, 58, 108, 118, 41, 54, 95, 97, 31, 34, 33,
32, 68, 62, 53, 42, 87, 73, 110, 116, 45, 52, 79, 81, 15, 18, 17, 16,
51, 46, 70, 60, 103, 89, 11, 22, 75, 85, 27, 36, 93, 99, 66, 64, 35,
28, 21, 12, 120, 106, 71, 8, 102, 38, 84, 20, 113, 50, 111, 49, 78, 19,
92, 37, 57, 7, 24, 88, 43, 107, 4, 67, 29, 96, 30, 98, 3, 61, 44, 117,
23, 74, 40, 104, 6, 69, 47, 109, 13, 80, 14, 82, 48, 115, 5, 59, 39,
90, 119, 56, 76, 9, 94, 25, 65, 2, 63, 1, 100, 26, 86, 10, 105, 55 ],
[ 115, 109, 82, 80, 104, 90, 69, 59, 100, 94, 33, 31, 119, 105, 54, 42, 41,
53, 76, 86, 32, 34, 63, 65, 78, 84, 16, 18, 111, 113, 46, 52, 51, 45,
17, 15, 102, 92, 71, 57, 35, 27, 98, 96, 22, 12, 88, 74, 107, 117, 11,
21, 28, 36, 61, 67, 103, 37, 70, 7, 116, 50, 81, 20, 79, 19, 110, 49,
60, 8, 89, 38, 29, 93, 3, 66, 44, 106, 24, 85, 23, 75, 43, 120, 4, 64,
30, 99, 39, 101, 5, 72, 48, 112, 14, 77, 13, 83, 47, 114, 6, 58, 40,
91, 95, 25, 68, 1, 118, 56, 73, 10, 87, 9, 108, 55, 62, 2, 97, 26 ],
[ 116, 110, 81, 79, 103, 89, 70, 60, 120, 106, 53, 42, 99, 93, 34, 31, 32,
33, 64, 66, 41, 54, 75, 85, 112, 114, 46, 51, 77, 83, 16, 17, 18, 15,
52, 45, 72, 58, 101, 91, 21, 12, 87, 73, 36, 27, 97, 95, 62, 68, 28,
35, 11, 22, 108, 118, 104, 38, 69, 8, 115, 49, 82, 19, 80, 20, 109, 50,
59, 7, 90, 37, 44, 105, 23, 86, 29, 94, 4, 65, 3, 63, 30, 100, 24, 76,
43, 119, 6, 71, 40, 102, 14, 78, 48, 111, 47, 113, 13, 84, 39, 92, 5,
57, 74, 10, 117, 55, 67, 2, 96, 25, 98, 26, 61, 1, 107, 56, 88, 9 ],
[ 117, 107, 88, 74, 98, 96, 67, 61, 92, 102, 32, 34, 111, 113, 42, 54, 53,
41, 84, 78, 33, 31, 71, 57, 86, 76, 17, 15, 119, 105, 52, 46, 45, 51,
16, 18, 94, 100, 63, 65, 36, 28, 104, 90, 21, 11, 82, 80, 109, 115, 12,
22, 27, 35, 59, 69, 87, 19, 118, 50, 68, 7, 97, 38, 95, 37, 62, 8, 108,
49, 73, 20, 23, 83, 44, 112, 3, 72, 30, 91, 29, 101, 4, 58, 43, 114,
24, 77, 13, 75, 48, 106, 5, 66, 40, 99, 39, 93, 6, 64, 47, 120, 14, 85,
79, 9, 116, 56, 70, 1, 89, 26, 103, 25, 60, 2, 110, 55, 81, 10 ],
[ 118, 108, 87, 73, 97, 95, 68, 62, 112, 114, 42, 53, 91, 101, 32, 33, 34,
31, 72, 58, 54, 41, 83, 77, 120, 106, 51, 46, 85, 75, 18, 15, 16, 17,
45, 52, 64, 66, 93, 99, 22, 11, 81, 79, 35, 28, 103, 89, 60, 70, 27,
36, 12, 21, 110, 116, 88, 20, 117, 49, 67, 8, 98, 37, 96, 38, 61, 7,
107, 50, 74, 19, 4, 71, 30, 92, 24, 84, 44, 111, 43, 113, 23, 78, 29,
102, 3, 57, 48, 105, 13, 76, 39, 100, 6, 65, 5, 63, 40, 94, 14, 86, 47,
119, 90, 26, 69, 2, 115, 55, 80, 9, 82, 10, 109, 56, 59, 1, 104, 25 ],
[ 119, 105, 86, 76, 100, 94, 65, 63, 104, 90, 34, 32, 115, 109, 53, 41, 42,
54, 80, 82, 31, 33, 59, 69, 88, 74, 18, 16, 117, 107, 51, 45, 46, 52,
15, 17, 96, 98, 61, 67, 28, 36, 92, 102, 12, 22, 78, 84, 113, 111, 21,
11, 35, 27, 71, 57, 120, 49, 85, 20, 99, 38, 66, 7, 64, 8, 93, 37, 75,
19, 106, 50, 43, 110, 24, 81, 30, 89, 3, 70, 4, 60, 29, 103, 23, 79,
44, 116, 47, 108, 14, 73, 40, 97, 5, 68, 6, 62, 39, 95, 13, 87, 48,
118, 114, 55, 77, 10, 91, 26, 72, 1, 58, 2, 101, 25, 83, 9, 112, 56 ],
[ 120, 106, 85, 75, 99, 93, 66, 64, 116, 110, 54, 41, 103, 89, 33, 32, 31,
34, 60, 70, 42, 53, 79, 81, 118, 108, 52, 45, 87, 73, 17, 16, 15, 18,
46, 51, 62, 68, 95, 97, 12, 21, 77, 83, 28, 35, 91, 101, 72, 58, 36,
27, 22, 11, 114, 112, 119, 50, 86, 19, 100, 37, 65, 8, 63, 7, 94, 38,
76, 20, 105, 49, 30, 90, 4, 69, 43, 109, 23, 82, 24, 80, 44, 115, 3,
59, 29, 104, 14, 74, 47, 107, 6, 67, 39, 98, 40, 96, 5, 61, 48, 117,
13, 88, 71, 2, 92, 26, 78, 10, 113, 56, 111, 55, 84, 9, 102, 25, 57, 1
] ]
]
# end of the loops
]
];