KH0698/AK003 - Pendant Pendant Sums


Drawings:

Right Handed Sums:     # Sums = 154,  Max # Summands = 40,   (Min, Mean, Max) Sum Values = (11, 77, 1000)
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Left Handed Sums:     # Sums = 130,  Max # Summands = 25,   (Min, Mean, Max) Sum Values = (11, 85, 1000)
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Right Handed Sum Detail: - Click on column name to sort
# Color Sum Schema Sum Cord Sum Cord Value # Summands Summands
1
g1p1 : 309W30912g2p2: 14W + g2p3: 25W:PB + g2p4: 7PB + g2p5: 29W + g2p6: 10W + g2p7: 11W + g2p8: 16W + g2p9: 47W + g3p1: 140W + g3p2: 0W + g3p3: 5W:PB + g3p4: 5PB
2
g1p5 : 77W775g5p3: 24W:PB + g5p4: 14PB + g5p5: 0W + g5p6: 25W + g5p7: 14W
3
g2p1 : 218W2186g3p5: 8W + g3p6: 0W + g3p7: 24W + g3p8: 10W + g3p9: 21W + g4p1: 155W
4
g2p5 : 29W292g6p4: 6PB + g6p5: 23W
5
g2p8 : 16W163g14p2: 2W + g14p3: 12W:PB + g14p4: 2PB
6
g2p9 : 47W475g3p4: 5PB + g3p5: 8W + g3p6: 0W + g3p7: 24W + g3p8: 10W
7
g3p1 : 140W1408g29p2: 17W + g29p3: 8W:PB + g29p4: 10PB + g29p5: 14W + g29p6: 21W + g29p7: 20W + g29p8: 16W + g29p9: 34W
8
g4p1 : 155W1555g12p3: 59W:PB + g12p4: 1PB + g12p5: 30YB + g12p6: 30YB + g12p7: 35W
9
g5p6 : 25W252g10p6: 20W + g10p7: 5W
10
g5p9 : 44W443g7p3: 27W:PB + g7p4: 6PB + g7p5: 11W
11
g6p1 : 219W2199g24p4: 3PB + g24p5: 21YB + g24p6: 12YB + g24p7: 14YB + g24p8: 12W + g24p9: 18W + g25p1: 117W + g25p2: 10W + g25p3: 12W:PB
12
g6p3 : 14W:PB145g8p4: 8PB + g8p5: 1W + g8p6: 0W + g8p7: 0W + g8p8: 5W
13
g6p5 : 23W236g23p3: 10W:PB + g23p4: 2PB + g23p5: 6W + g23p6: 0W + g23p7: 0W + g23p8: 5W
14
g6p6 : 17W172g7p4: 6PB + g7p5: 11W
15
g6p7 : 12W122g8p8: 5W + g8p9: 7W
16
g6p9 : 21W216g8p4: 8PB + g8p5: 1W + g8p6: 0W + g8p7: 0W + g8p8: 5W + g8p9: 7W
17
g7p1 : 229W2292g7p9: 19W + g8p1: 210W
18
g7p8 : 31W313g11p6: 20W + g11p7: 0W + g11p8: 11W
19
g8p1 : 210W2102g13p1: 200W + g13p2: 10W
20
g8p2 : 59W595g11p4: 10PB + g11p5: 18W + g11p6: 20W + g11p7: 0W + g11p8: 11W
21
g9p1 : 190W19014g18p1: 80W + g18p2: 0W + g18p3: 0W:PB + g18p4: 0PB + g18p5: 0AB + g18p6: 0W + g18p7: 0W + g18p8: 0W + g18p9: 0W + g19p1: 100W + g19p2: 0W + g19p3: 0W:PB + g19p4: 0PB + g19p5: 10W
22
g9p3 : 22W:PB222g15p8: 12W + g15p9: 10W
23
g9p7 : 26W:KB263g17p2: 10W + g17p3: 10W:PB + g17p4: 6PB
24
g9p8 : 301W:KB3013g20p9: 15W + g21p1: 260W + g21p2: 26W
25
g10p8 : 57W572g13p8: 27W + g13p9: 30W
26
g11p1 : 270W2708g13p6: 17W + g13p7: 25W + g13p8: 27W + g13p9: 30W + g14p1: 155W + g14p2: 2W + g14p3: 12W:PB + g14p4: 2PB
27
g11p9 : 36W363g24p4: 3PB + g24p5: 21YB + g24p6: 12YB
28
g12p1 : 199W1994g13p9: 30W + g14p1: 155W + g14p2: 2W + g14p3: 12W:PB
29
g12p3 : 59W:PB594g19p5: 10W + g19p6: 9W + g19p7: 16W + g19p8: 24W
30
g12p7 : 35W353g19p5: 10W + g19p6: 9W + g19p7: 16W
31
g13p1 : 200W2008g24p6: 12YB + g24p7: 14YB + g24p8: 12W + g24p9: 18W + g25p1: 117W + g25p2: 10W + g25p3: 12W:PB + g25p4: 5PB
32
g13p6 : 17W172g15p3: 10W:PB + g15p4: 7PB
33
g13p7 : 25W253g14p3: 12W:PB + g14p4: 2PB + g14p5: 11W
34
g13p8 : 27W274g14p2: 2W + g14p3: 12W:PB + g14p4: 2PB + g14p5: 11W
35
g13p9 : 30W302g15p2: 20W + g15p3: 10W:PB
36
g14p1 : 155W1557g21p2: 26W + g21p3: 77W:PB + g21p4: 14PB + g21p5: 0W + g21p6: 0W + g21p7: 18W + g21p8: 20W
37
g14p9 : 53W538g17p2: 10W + g17p3: 10W:PB + g17p4: 6PB + g17p5: 13W + g17p6: 0W + g17p7: 0W + g17p8: 0W + g17p9: 14W
38
g15p1 : 250W25013g22p2: 21W + g22p3: 33W:PB + g22p4: 15PB + g22p5: 2W + g22p6: 0W + g22p7: 18W + g22p8: 11W + g22p9: 30W + g23p1: 102W + g23p2: 0W + g23p3: 10W:PB + g23p4: 2PB + g23p5: 6W
39
g15p5 : 30W305g19p9: 26W + g20p1: 0W + g20p2: 0W + g20p3: 0W:PB + g20p4: 4PB
40
g15p7 : 20W202g16p6: 6W + g16p7: 14W
41
g15p8 : 12W122g23p3: 10W:PB + g23p4: 2PB
42
g16p1 : 326W3265g20p7: 9W + g20p8: 16W + g20p9: 15W + g21p1: 260W + g21p2: 26W
43
g16p3 : 52W:PB525g21p4: 14PB + g21p5: 0W + g21p6: 0W + g21p7: 18W + g21p8: 20W
44
g16p5 : 19W192g17p4: 6PB + g17p5: 13W
45
g16p8 : 34W343g25p5: 10W + g25p6: 8W + g25p7: 16W
46
g16p9 : 33W336g17p4: 6PB + g17p5: 13W + g17p6: 0W + g17p7: 0W + g17p8: 0W + g17p9: 14W
47
g17p1 : 1000W100040g29p3: 8W:PB + g29p4: 10PB + g29p5: 14W + g29p6: 21W + g29p7: 20W + g29p8: 16W + g29p9: 34W + g30p1: 148W + g30p2: 6W + g30p3: 9W:PB + g30p4: 5PB + g30p5: 14W + g30p6: 6W + g30p7: 6W + g30p8: 17W + g30p9: 42W + g31p1: 131W + g31p2: 14W + g31p3: 5W:PB + g31p4: 3PB + g31p5: 12W + g31p6: 10W + g31p7: 6W + g31p8: 2W + g31p9: 13W + g32p1: 137W + g32p2: 13W + g32p3: 6W:PB + g32p4: 5PB + g32p5: 11W + g32p6: 15W + g32p7: 6W + g32p8: 13W + g32p9: 13W + g33p1: 151W + g33p2: 5W + g33p3: 10W:PB + g33p4: 6PB + g33p5: 17W + g33p6: 20W
48
g17p5 : 13W134g20p4: 4PB + g20p5: 0YB + g20p6: 0YB + g20p7: 9W
49
g18p1 : 80W806g24p4: 3PB + g24p5: 21YB + g24p6: 12YB + g24p7: 14YB + g24p8: 12W + g24p9: 18W
50
g19p1 : 100W1007g22p2: 21W + g22p3: 33W:PB + g22p4: 15PB + g22p5: 2W + g22p6: 0W + g22p7: 18W + g22p8: 11W
51
g19p8 : 24W242g24p3: 21W:PB + g24p4: 3PB
52
g21p1 : 260W26013g24p6: 12YB + g24p7: 14YB + g24p8: 12W + g24p9: 18W + g25p1: 117W + g25p2: 10W + g25p3: 12W:PB + g25p4: 5PB + g25p5: 10W + g25p6: 8W + g25p7: 16W + g25p8: 17W + g25p9: 9YB
53
g21p2 : 26W262g24p6: 12YB + g24p7: 14YB
54
g21p3 : 77W:PB775g24p5: 21YB + g24p6: 12YB + g24p7: 14YB + g24p8: 12W + g24p9: 18W
55
g21p8 : 20W203g22p5: 2W + g22p6: 0W + g22p7: 18W
56
g21p9 : 91W917g28p2: 4W + g28p3: 3W:PB + g28p4: 5PB + g28p5: 7W + g28p6: 13W + g28p7: 15W + g28p8: 44W
57
g22p1 : 272W27217g22p2: 21W + g22p3: 33W:PB + g22p4: 15PB + g22p5: 2W + g22p6: 0W + g22p7: 18W + g22p8: 11W + g22p9: 30W + g23p1: 102W + g23p2: 0W + g23p3: 10W:PB + g23p4: 2PB + g23p5: 6W + g23p6: 0W + g23p7: 0W + g23p8: 5W + g23p9: 17W
58
g22p3 : 33W:PB332g24p5: 21YB + g24p6: 12YB
59
g22p4 : 15PB152g25p4: 5PB + g25p5: 10W
60
g22p7 : 18W183g23p3: 10W:PB + g23p4: 2PB + g23p5: 6W
61
g22p8 : 11W114g23p5: 6W + g23p6: 0W + g23p7: 0W + g23p8: 5W
62
g22p9 : 30W306g23p4: 2PB + g23p5: 6W + g23p6: 0W + g23p7: 0W + g23p8: 5W + g23p9: 17W
63
g23p1 : 102W1026g28p4: 5PB + g28p5: 7W + g28p6: 13W + g28p7: 15W + g28p8: 44W + g28p9: 18W
64
g23p9 : 17W172g25p3: 12W:PB + g25p4: 5PB
65
g24p1 : 171W1715g24p7: 14YB + g24p8: 12W + g24p9: 18W + g25p1: 117W + g25p2: 10W
66
g24p5 : 21YB213g26p4: 1PB + g26p5: 8W + g26p6: 12W
67
g24p9 : 18W182g25p5: 10W + g25p6: 8W
68
g25p1 : 117W1173g47p4: 35PB + g47p5: 39W + g47p6: 43W
69
g25p3 : 12W:PB123g26p3: 3W:PB + g26p4: 1PB + g26p5: 8W
70
g25p8 : 17W172g26p2: 14W + g26p3: 3W:PB
71
g26p1 : 208W2082g26p9: 30YB + g27p1: 178W
72
g26p9 : 30YB302g27p8: 18W + g27p9: 12W
73
g27p5 : 20W202g28p5: 7W + g28p6: 13W
74
g27p9 : 12W123g28p2: 4W + g28p3: 3W:PB + g28p4: 5PB
75
g28p1 : 178W1789g40p4: 4PB + g40p5: 15W + g40p6: 10W + g40p7: 20W + g40p8: 3W + g40p9: 14W + g41p1: 89W + g41p2: 13W + g41p3: 10W:PB
76
g28p7 : 15W152g30p2: 6W + g30p3: 9W:PB
77
g28p8 : 44W445g31p2: 14W + g31p3: 5W:PB + g31p4: 3PB + g31p5: 12W + g31p6: 10W
78
g28p9 : 18W182g29p3: 8W:PB + g29p4: 10PB
79
g29p1 : 166W1663g33p1: 151W + g33p2: 5W + g33p3: 10W:PB
80
g29p5 : 14W142g30p3: 9W:PB + g30p4: 5PB
81
g29p6 : 21W213g31p7: 6W + g31p8: 2W + g31p9: 13W
82
g29p7 : 20W203g30p2: 6W + g30p3: 9W:PB + g30p4: 5PB
83
g29p8 : 16W162g31p6: 10W + g31p7: 6W
84
g29p9 : 34W344g30p2: 6W + g30p3: 9W:PB + g30p4: 5PB + g30p5: 14W
85
g30p1 : 148W1486g42p8: 9W + g42p9: 13W + g43p1: 107W + g43p2: 9W + g43p3: 4W:PB + g43p4: 6PB
86
g30p9 : 42W423g36p3: 10W:PB + g36p4: 10PB + g36p5: 22W
87
g31p2 : 14W142g34p3: 10W:PB + g34p4: 4PB
88
g31p5 : 12W122g35p5: 6W + g35p6: 6W
89
g32p1 : 137W1376g41p1: 89W + g41p2: 13W + g41p3: 10W:PB + g41p4: 7PB + g41p5: 8W + g41p6: 10W
90
g32p6 : 15W152g33p2: 5W + g33p3: 10W:PB
91
g33p1 : 151W1512g36p9: 20W + g37p1: 131W
92
g33p6 : 20W203g35p4: 8PB + g35p5: 6W + g35p6: 6W
93
g33p8 : 26W262g37p2: 7W + g37p3: 19W:PB
94
g34p1 : 149W1496g40p6: 10W + g40p7: 20W + g40p8: 3W + g40p9: 14W + g41p1: 89W + g41p2: 13W
95
g35p1 : 235W2358g36p9: 20W + g37p1: 131W + g37p2: 7W + g37p3: 19W:PB + g37p4: 0PB + g37p5: 33W + g37p6: 6W + g37p7: 19W
96
g35p2 : 23W232g39p2: 11W + g39p3: 12W:PB
97
g35p7 : 18W182g38p3: 15W:PB + g38p4: 3PB
98
g36p1 : 187W18711g40p6: 10W + g40p7: 20W + g40p8: 3W + g40p9: 14W + g41p1: 89W + g41p2: 13W + g41p3: 10W:PB + g41p4: 7PB + g41p5: 8W + g41p6: 10W + g41p7: 3W
99
g36p5 : 22W222g42p8: 9W + g42p9: 13W
100
g36p8 : 21W212g38p5: 16W + g38p6: 5W
101
g37p1 : 131W1318g41p6: 10W + g41p7: 3W + g41p8: 6W + g41p9: 11W + g42p1: 85W + g42p2: 5W + g42p3: 5W:PB + g42p4: 6PB
102
g37p5 : 33W333g39p4: 7PB + g39p5: 12W + g39p6: 14W
103
g37p7 : 19W192g38p4: 3PB + g38p5: 16W
104
g37p9 : 37W373g39p5: 12W + g39p6: 14W + g39p7: 11W
105
g38p1 : 209W20916g41p2: 13W + g41p3: 10W:PB + g41p4: 7PB + g41p5: 8W + g41p6: 10W + g41p7: 3W + g41p8: 6W + g41p9: 11W + g42p1: 85W + g42p2: 5W + g42p3: 5W:PB + g42p4: 6PB + g42p5: 13W + g42p6: 15W + g42p7: 3W + g42p8: 9W
106
g38p2 : 17W172g40p8: 3W + g40p9: 14W
107
g38p5 : 16W163g42p2: 5W + g42p3: 5W:PB + g42p4: 6PB
108
g38p8 : 28W284g41p4: 7PB + g41p5: 8W + g41p6: 10W + g41p7: 3W
109
g38p9 : 47W472g39p8: 15W + g39p9: 32W
110
g39p1 : 115W1155g41p6: 10W + g41p7: 3W + g41p8: 6W + g41p9: 11W + g42p1: 85W
111
g39p5 : 12W122g42p7: 3W + g42p8: 9W
112
g39p9 : 32W324g43p5: 6W + g43p6: 13W + g43p7: 0W + g43p8: 13W
113
g40p1 : 156W1567g40p7: 20W + g40p8: 3W + g40p9: 14W + g41p1: 89W + g41p2: 13W + g41p3: 10W:PB + g41p4: 7PB
114
g40p3 : 36W:PB362g51p5: 21W + g51p6: 15W
115
g40p5 : 15W152g41p4: 7PB + g41p5: 8W
116
g40p7 : 20W203g41p7: 3W + g41p8: 6W + g41p9: 11W
117
g41p1 : 89W894g44p9: 12W + g45p1: 65W + g45p2: 4W + g45p3: 8W:PB
118
g41p9 : 11W112g42p3: 5W:PB + g42p4: 6PB
119
g42p1 : 85W855g51p5: 21W + g51p6: 15W + g51p7: 17W + g51p8: 20W + g51p9: 12W
120
g42p9 : 13W132g43p2: 9W + g43p3: 4W:PB
121
g43p1 : 107W1077g44p6: 7W + g44p7: 5W + g44p8: 6W + g44p9: 12W + g45p1: 65W + g45p2: 4W + g45p3: 8W:PB
122
g43p9 : 11W112g44p2: 1W + g44p3: 10W:PB
123
g44p1 : 113W1137g44p5: 14W + g44p6: 7W + g44p7: 5W + g44p8: 6W + g44p9: 12W + g45p1: 65W + g45p2: 4W
124
g44p5 : 14W143g45p4: 4PB + g45p5: 5W + g45p6: 5W
125
g44p9 : 12W122g45p2: 4W + g45p3: 8W:PB
126
g45p1 : 65W656g46p2: 5W + g46p3: 22W:PB + g46p4: 4PB + g46p5: 18W + g46p6: 11W + g46p7: 5W
127
g46p10 : 22W223g55p2: 16W + g55p3: 5W:PB + g55p4: 1PB
128
g47p2 : 31W312g50p5: 15W + g50p6: 16W
129
g47p3 : 20W:PB202g49p3: 12W:KB + g49p4: 8PB
130
g47p5 : 39W395g55p4: 1PB + g55p5: 18W + g55p6: 11W + g55p7: 5W + g55p8: 4W
131
g47p6 : 43W432g48p8: 13W + g48p9: 30W
132
g47p9 : 70W705g50p3: 11W:PB + g50p4: 14PB + g50p5: 15W + g50p6: 16W + g50p7: 14W
133
g48p1 : 266W26610g49p9: 18W + g50p1: 116W + g50p2: 3W + g50p3: 11W:PB + g50p4: 14PB + g50p5: 15W + g50p6: 16W + g50p7: 14W + g50p8: 35W + g50p9: 24W
134
g48p5 : 74W744g49p3: 12W:KB + g49p4: 8PB + g49p5: 21W + g49p6: 33W
135
g48p9 : 30W302g50p6: 16W + g50p7: 14W
136
g49p1 : 189W1897g50p1: 116W + g50p2: 3W + g50p3: 11W:PB + g50p4: 14PB + g50p5: 15W + g50p6: 16W + g50p7: 14W
137
g49p7 : 33W333g54p4: 4PB + g54p5: 6W + g54p6: 23W
138
g50p6 : 16W162g52p4: 9PB + g52p5: 7W
139
g50p7 : 14W142g56p5: 6W + g56p6: 8W
140
g50p8 : 35W354g55p3: 5W:PB + g55p4: 1PB + g55p5: 18W + g55p6: 11W
141
g50p9 : 24W243g53p5: 18W + g53p6: 0W + g53p7: 6W
142
g51p1 : 165W1656g54p8: 34W + g54p9: 19W + g55p1: 90W + g55p2: 16W + g55p3: 5W:PB + g55p4: 1PB
143
g51p7 : 17W173g54p2: 2W + g54p3: 11W:PB + g54p4: 4PB
144
g51p8 : 20W202g52p3: 11W:PB + g52p4: 9PB
145
g52p1 : 215W2154g52p7: 29W + g52p8: 15W + g52p9: 13W + g53p1: 158W
146
g52p2 : 51W515g55p2: 16W + g55p3: 5W:PB + g55p4: 1PB + g55p5: 18W + g55p6: 11W
147
g52p7 : 29W292g54p5: 6W + g54p6: 23W
148
g52p8 : 15W152g54p3: 11W:PB + g54p4: 4PB
149
g53p4 : 13PB132g54p2: 2W + g54p3: 11W:PB
150
g53p9 : 21W213g54p3: 11W:PB + g54p4: 4PB + g54p5: 6W
151
g54p8 : 34W343g55p5: 18W + g55p6: 11W + g55p7: 5W
152
g54p9 : 19W192g55p4: 1PB + g55p5: 18W
153
g55p5 : 18W182g57p5: 6W + g57p6: 12W
154
g56p4 : 29PB293g57p4: 11PB + g57p5: 6W + g57p6: 12W

Left Handed Sum Detail: - Click on column name to sort
# Color Sum Schema Sum Cord Sum Cord Value # Summands Summands
1
g3p7 : 24W242g1p3: 14W:PB + g1p4: 10PB
2
g3p9 : 21W212g2p6: 10W + g2p7: 11W
3
g6p1 : 219W2196g2p7: 11W + g2p8: 16W + g2p9: 47W + g3p1: 140W + g3p2: 0W + g3p3: 5W:PB
4
g7p1 : 229W22910g3p5: 8W + g3p6: 0W + g3p7: 24W + g3p8: 10W + g3p9: 21W + g4p1: 155W + g4p2: 0W + g4p3: 0W:PB + g4p4: 0PB + g4p5: 11W
5
g7p3 : 27W:PB272g4p8: 17W + g4p9: 10W
6
g7p8 : 31W312g5p7: 14W + g5p8: 17W
7
g8p1 : 210W2102g5p1: 200W + g5p2: 10W
8
g10p1 : 250W2502g6p9: 21W + g7p1: 229W
9
g10p8 : 57W574g2p4: 7PB + g2p5: 29W + g2p6: 10W + g2p7: 11W
10
g11p1 : 270W2703g10p1: 250W + g10p2: 0W + g10p3: 20W:PB
11
g11p2 : 34W342g5p2: 10W + g5p3: 24W:PB
12
g11p5 : 18W183g3p3: 5W:PB + g3p4: 5PB + g3p5: 8W
13
g11p9 : 36W362g2p4: 7PB + g2p5: 29W
14
g12p3 : 59W:PB595g11p4: 10PB + g11p5: 18W + g11p6: 20W + g11p7: 0W + g11p8: 11W
15
g12p7 : 35W353g9p5: 9W:KB + g9p6: 0W:KB + g9p7: 26W:KB
16
g12p8 : 21W216g8p4: 8PB + g8p5: 1W + g8p6: 0W + g8p7: 0W + g8p8: 5W + g8p9: 7W
17
g13p3 : 42W:PB424g3p5: 8W + g3p6: 0W + g3p7: 24W + g3p8: 10W
18
g13p6 : 17W172g7p4: 6PB + g7p5: 11W
19
g14p1 : 155W1555g12p3: 59W:PB + g12p4: 1PB + g12p5: 30YB + g12p6: 30YB + g12p7: 35W
20
g14p3 : 12W:PB122g8p8: 5W + g8p9: 7W
21
g14p9 : 53W533g7p6: 22W + g7p7: 0W + g7p8: 31W
22
g16p1 : 326W3268g7p3: 27W:PB + g7p4: 6PB + g7p5: 11W + g7p6: 22W + g7p7: 0W + g7p8: 31W + g7p9: 19W + g8p1: 210W
23
g16p3 : 52W:PB522g13p7: 25W + g13p8: 27W
24
g16p9 : 33W332g14p7: 14W + g14p8: 19W
25
g17p1 : 1000W100024g12p7: 35W + g12p8: 21W + g12p9: 20W + g13p1: 200W + g13p2: 10W + g13p3: 42W:PB + g13p4: 4PB + g13p5: 21W + g13p6: 17W + g13p7: 25W + g13p8: 27W + g13p9: 30W + g14p1: 155W + g14p2: 2W + g14p3: 12W:PB + g14p4: 2PB + g14p5: 11W + g14p6: 0W + g14p7: 14W + g14p8: 19W + g14p9: 53W + g15p1: 250W + g15p2: 20W + g15p3: 10W:PB
26
g17p5 : 13W132g14p4: 2PB + g14p5: 11W
27
g18p1 : 80W805g15p5: 30W + g15p6: 8W + g15p7: 20W + g15p8: 12W + g15p9: 10W
28
g19p1 : 100W1004g5p6: 25W + g5p7: 14W + g5p8: 17W + g5p9: 44W
29
g19p7 : 16W162g17p3: 10W:PB + g17p4: 6PB
30
g19p9 : 26W263g17p2: 10W + g17p3: 10W:PB + g17p4: 6PB
31
g21p1 : 260W2603g7p8: 31W + g7p9: 19W + g8p1: 210W
32
g21p3 : 77W:PB774g16p3: 52W:PB + g16p4: 0PB + g16p5: 19W + g16p6: 6W
33
g21p8 : 20W202g17p2: 10W + g17p3: 10W:PB
34
g22p1 : 272W27223g17p4: 6PB + g17p5: 13W + g17p6: 0W + g17p7: 0W + g17p8: 0W + g17p9: 14W + g18p1: 80W + g18p2: 0W + g18p3: 0W:PB + g18p4: 0PB + g18p5: 0AB + g18p6: 0W + g18p7: 0W + g18p8: 0W + g18p9: 0W + g19p1: 100W + g19p2: 0W + g19p3: 0W:PB + g19p4: 0PB + g19p5: 10W + g19p6: 9W + g19p7: 16W + g19p8: 24W
35
g22p3 : 33W:PB336g17p4: 6PB + g17p5: 13W + g17p6: 0W + g17p7: 0W + g17p8: 0W + g17p9: 14W
36
g22p9 : 30W305g19p9: 26W + g20p1: 0W + g20p2: 0W + g20p3: 0W:PB + g20p4: 4PB
37
g23p1 : 102W1026g10p3: 20W:PB + g10p4: 0PB + g10p5: 0W + g10p6: 20W + g10p7: 5W + g10p8: 57W
38
g23p9 : 17W172g22p4: 15PB + g22p5: 2W
39
g24p1 : 171W1716g22p7: 18W + g22p8: 11W + g22p9: 30W + g23p1: 102W + g23p2: 0W + g23p3: 10W:PB
40
g24p6 : 12YB122g23p3: 10W:PB + g23p4: 2PB
41
g24p9 : 18W183g23p3: 10W:PB + g23p4: 2PB + g23p5: 6W
42
g25p1 : 117W1173g21p2: 26W + g21p3: 77W:PB + g21p4: 14PB
43
g26p1 : 208W2089g24p8: 12W + g24p9: 18W + g25p1: 117W + g25p2: 10W + g25p3: 12W:PB + g25p4: 5PB + g25p5: 10W + g25p6: 8W + g25p7: 16W
44
g27p1 : 178W1787g25p1: 117W + g25p2: 10W + g25p3: 12W:PB + g25p4: 5PB + g25p5: 10W + g25p6: 8W + g25p7: 16W
45
g27p3 : 20W:PB202g26p5: 8W + g26p6: 12W
46
g27p6 : 23W233g25p4: 5PB + g25p5: 10W + g25p6: 8W
47
g27p8 : 18W183g26p2: 14W + g26p3: 3W:PB + g26p4: 1PB
48
g28p6 : 13W135g23p4: 2PB + g23p5: 6W + g23p6: 0W + g23p7: 0W + g23p8: 5W
49
g28p8 : 44W443g24p7: 14YB + g24p8: 12W + g24p9: 18W
50
g29p1 : 166W16610g22p8: 11W + g22p9: 30W + g23p1: 102W + g23p2: 0W + g23p3: 10W:PB + g23p4: 2PB + g23p5: 6W + g23p6: 0W + g23p7: 0W + g23p8: 5W
51
g29p2 : 17W172g26p7: 9W + g26p8: 8W
52
g29p6 : 21W212g26p6: 12W + g26p7: 9W
53
g29p7 : 20W202g28p5: 7W + g28p6: 13W
54
g29p9 : 34W343g25p5: 10W + g25p6: 8W + g25p7: 16W
55
g30p1 : 148W1488g5p2: 10W + g5p3: 24W:PB + g5p4: 14PB + g5p5: 0W + g5p6: 25W + g5p7: 14W + g5p8: 17W + g5p9: 44W
56
g30p9 : 42W423g25p7: 16W + g25p8: 17W + g25p9: 9YB
57
g31p5 : 12W122g30p6: 6W + g30p7: 6W
58
g32p1 : 137W1376g12p4: 1PB + g12p5: 30YB + g12p6: 30YB + g12p7: 35W + g12p8: 21W + g12p9: 20W
59
g32p6 : 15W152g31p8: 2W + g31p9: 13W
60
g33p6 : 20W203g31p3: 5W:PB + g31p4: 3PB + g31p5: 12W
61
g33p8 : 26W262g32p8: 13W + g32p9: 13W
62
g34p2 : 22W223g32p3: 6W:PB + g32p4: 5PB + g32p5: 11W
63
g35p1 : 235W2358g32p8: 13W + g32p9: 13W + g33p1: 151W + g33p2: 5W + g33p3: 10W:PB + g33p4: 6PB + g33p5: 17W + g33p6: 20W
64
g35p7 : 18W182g34p8: 9W + g34p9: 9W
65
g35p9 : 28W283g31p5: 12W + g31p6: 10W + g31p7: 6W
66
g36p1 : 187W1876g32p1: 137W + g32p2: 13W + g32p3: 6W:PB + g32p4: 5PB + g32p5: 11W + g32p6: 15W
67
g36p5 : 22W222g34p7: 13W + g34p8: 9W
68
g37p3 : 19W:PB192g32p7: 6W + g32p8: 13W
69
g37p5 : 33W333g33p3: 10W:PB + g33p4: 6PB + g33p5: 17W
70
g37p9 : 37W373g36p2: 17W + g36p3: 10W:PB + g36p4: 10PB
71
g38p1 : 209W2096g36p6: 13W + g36p7: 17W + g36p8: 21W + g36p9: 20W + g37p1: 131W + g37p2: 7W
72
g38p3 : 15W:PB152g33p2: 5W + g33p3: 10W:PB
73
g38p5 : 16W162g33p3: 10W:PB + g33p4: 6PB
74
g38p9 : 47W472g33p8: 26W + g33p9: 21W
75
g39p1 : 115W1155g37p5: 33W + g37p6: 6W + g37p7: 19W + g37p8: 20W + g37p9: 37W
76
g39p3 : 12W:PB122g35p5: 6W + g35p6: 6W
77
g39p6 : 14W142g35p4: 8PB + g35p5: 6W
78
g39p8 : 15W152g38p6: 5W + g38p7: 10W
79
g39p9 : 32W322g38p2: 17W + g38p3: 15W:PB
80
g40p1 : 156W1562g33p1: 151W + g33p2: 5W
81
g40p3 : 36W:PB363g34p2: 22W + g34p3: 10W:PB + g34p4: 4PB
82
g41p1 : 89W896g36p2: 17W + g36p3: 10W:PB + g36p4: 10PB + g36p5: 22W + g36p6: 13W + g36p7: 17W
83
g42p1 : 85W855g40p3: 36W:PB + g40p4: 4PB + g40p5: 15W + g40p6: 10W + g40p7: 20W
84
g42p5 : 13W132g41p6: 10W + g41p7: 3W
85
g42p6 : 15W152g41p4: 7PB + g41p5: 8W
86
g43p1 : 107W1074g41p8: 6W + g41p9: 11W + g42p1: 85W + g42p2: 5W
87
g43p9 : 11W112g42p3: 5W:PB + g42p4: 6PB
88
g44p1 : 113W1137g36p3: 10W:PB + g36p4: 10PB + g36p5: 22W + g36p6: 13W + g36p7: 17W + g36p8: 21W + g36p9: 20W
89
g45p1 : 65W654g40p3: 36W:PB + g40p4: 4PB + g40p5: 15W + g40p6: 10W
90
g45p9 : 11W112g44p7: 5W + g44p8: 6W
91
g46p1 : 179W17910g43p4: 6PB + g43p5: 6W + g43p6: 13W + g43p7: 0W + g43p8: 13W + g43p9: 11W + g44p1: 113W + g44p2: 1W + g44p3: 10W:PB + g44p4: 6PB
92
g46p3 : 22W:PB224g45p3: 8W:PB + g45p4: 4PB + g45p5: 5W + g45p6: 5W
93
g46p5 : 18W184g45p4: 4PB + g45p5: 5W + g45p6: 5W + g45p7: 4W
94
g47p1 : 535W53525g43p9: 11W + g44p1: 113W + g44p2: 1W + g44p3: 10W:PB + g44p4: 6PB + g44p5: 14W + g44p6: 7W + g44p7: 5W + g44p8: 6W + g44p9: 12W + g45p1: 65W + g45p2: 4W + g45p3: 8W:PB + g45p4: 4PB + g45p5: 5W + g45p6: 5W + g45p7: 4W + g45p8: 5W + g45p9: 11W + g46p1: 179W + g46p2: 5W + g46p3: 22W:PB + g46p4: 4PB + g46p5: 18W + g46p6: 11W
95
g47p2 : 31W313g46p2: 5W + g46p3: 22W:PB + g46p4: 4PB
96
g47p3 : 20W:PB203g45p7: 4W + g45p8: 5W + g45p9: 11W
97
g47p4 : 35PB357g45p2: 4W + g45p3: 8W:PB + g45p4: 4PB + g45p5: 5W + g45p6: 5W + g45p7: 4W + g45p8: 5W
98
g47p5 : 39W394g42p3: 5W:PB + g42p4: 6PB + g42p5: 13W + g42p6: 15W
99
g47p6 : 43W436g44p2: 1W + g44p3: 10W:PB + g44p4: 6PB + g44p5: 14W + g44p6: 7W + g44p7: 5W
100
g47p7 : 34W344g46p7: 5W + g46p8: 7W + g46p9: 0W + g46p10: 22W
101
g47p8 : 12W122g46p7: 5W + g46p8: 7W
102
g47p9 : 70W703g33p7: 23W + g33p8: 26W + g33p9: 21W
103
g48p1 : 266W26614g43p9: 11W + g44p1: 113W + g44p2: 1W + g44p3: 10W:PB + g44p4: 6PB + g44p5: 14W + g44p6: 7W + g44p7: 5W + g44p8: 6W + g44p9: 12W + g45p1: 65W + g45p2: 4W + g45p3: 8W:PB + g45p4: 4PB
104
g48p5 : 74W742g47p4: 35PB + g47p5: 39W
105
g48p9 : 30W305g45p5: 5W + g45p6: 5W + g45p7: 4W + g45p8: 5W + g45p9: 11W
106
g49p1 : 189W18911g42p2: 5W + g42p3: 5W:PB + g42p4: 6PB + g42p5: 13W + g42p6: 15W + g42p7: 3W + g42p8: 9W + g42p9: 13W + g43p1: 107W + g43p2: 9W + g43p3: 4W:PB
107
g49p5 : 21W214g45p2: 4W + g45p3: 8W:PB + g45p4: 4PB + g45p5: 5W
108
g49p6 : 33W333g46p4: 4PB + g46p5: 18W + g46p6: 11W
109
g50p1 : 116W1163g47p7: 34W + g47p8: 12W + g47p9: 70W
110
g50p6 : 16W162g48p6: 10W + g48p7: 6W
111
g50p9 : 24W242g48p3: 12W:PB + g48p4: 12PB
112
g51p1 : 165W16510g41p9: 11W + g42p1: 85W + g42p2: 5W + g42p3: 5W:PB + g42p4: 6PB + g42p5: 13W + g42p6: 15W + g42p7: 3W + g42p8: 9W + g42p9: 13W
113
g51p2 : 20W202g49p3: 12W:KB + g49p4: 8PB
114
g51p7 : 17W172g48p2: 5W + g48p3: 12W:PB
115
g52p1 : 215W2155g51p1: 165W + g51p2: 20W + g51p3: 5W:PB + g51p4: 4PB + g51p5: 21W
116
g52p2 : 51W512g47p2: 31W + g47p3: 20W:PB
117
g52p7 : 29W293g51p2: 20W + g51p3: 5W:PB + g51p4: 4PB
118
g53p1 : 158W1585g49p8: 10W + g49p9: 18W + g50p1: 116W + g50p2: 3W + g50p3: 11W:PB
119
g53p8 : 19W192g49p2: 7W + g49p3: 12W:KB
120
g54p1 : 221W2218g52p9: 13W + g53p1: 158W + g53p2: 13W + g53p3: 0W:KB + g53p4: 13PB + g53p5: 18W + g53p6: 0W + g53p7: 6W
121
g54p7 : 41W413g49p3: 12W:KB + g49p4: 8PB + g49p5: 21W
122
g55p1 : 90W908g53p2: 13W + g53p3: 0W:KB + g53p4: 13PB + g53p5: 18W + g53p6: 0W + g53p7: 6W + g53p8: 19W + g53p9: 21W
123
g55p2 : 16W162g52p4: 9PB + g52p5: 7W
124
g55p9 : 27W273g52p3: 11W:PB + g52p4: 9PB + g52p5: 7W
125
g56p1 : 191W1916g49p7: 33W + g49p8: 10W + g49p9: 18W + g50p1: 116W + g50p2: 3W + g50p3: 11W:PB
126
g56p2 : 16W162g55p6: 11W + g55p7: 5W
127
g56p4 : 29PB292g55p5: 18W + g55p6: 11W
128
g57p1 : 329W3298g53p9: 21W + g54p1: 221W + g54p2: 2W + g54p3: 11W:PB + g54p4: 4PB + g54p5: 6W + g54p6: 23W + g54p7: 41W
129
g57p7 : 38W384g55p5: 18W + g55p6: 11W + g55p7: 5W + g55p8: 4W
130
g57p9 : 34W343g56p6: 8W + g56p7: 14W + g56p8: 12W

Khipu Notes:
Fieldguide Notes:

Author's Notes
This khipu was part of the Maiman collection, a set of khipus gathered from deaccesioning of the Haifa museum as well as other sources. Another khipu in the collection is referenced in Bat-ami Artzi's article The Secret of the Knot: Khipu No. 936 from the Maiman Collection. The collection is also described in the book Weaving for the Afterlife - Peruvian Textiles from the Maiman Collection Volume 1 - Pages 335-336, by Krzysztof Makowski, Alfredo Rosenzweig, Maria Jesus Jiménez Diaz.

The khipu is mounted on canvas. Backwards! It is in good condition, and the regularity and tightness of the knots indicate a master khipu-kamayoq. It consists almost entirely of 9 pendant cord seriated groups in a W, W, W:PB, PB, W, W, W, W, W order. Numerous sums are evident, as are knot-twists in both S and Z directions.

Primary Cord Notes
The primary cord has numerous blue (or white) wrappings around the cord between cord groups. There are blue (or white) wrappings at:
  • wrapping from 42.5 - 45
  • wrapping from 67.5 - 68.9
  • wrapping (white) from 85.9-86.9
  • wrapping from 102.5-103.3
  • wrapping from 127.0 - 128.5
Additionally, there are breaks and mends in the primary cord at:
  • 96.1 cm - Repair
  • 116.0 cm - break/mend in primary cord


KH 0698 Photograph

Image has been assembled from a series of smaller images. Some alignment errors may occur.

The khipu is described in the book Weaving the Afterlife:
Cat. 281
Big khipu (khipu) of "canutos"
Period: Late Horizon; (1450-1550 CE)
Style: Inca, Inca Imperial Period or Huari-Tiahuanaco
Location: Highlands
Dimensions: 115 x 165 cm.
Inv. 925|
Yarns:
Main Cord: Camelid fiber Z25, blue-greenish, red, brown, yellow; Cotton S2Z and Z25 white (wrapping elements)
Cords: Camelid fiber Z3S black-brownish; Camelid fiber Z25, white, dark purple, yellow, white, red, rose, green; Camelid fiber Z orange; Cotton Z blue (wrapping elements) The main cord is of cross-knit loop stitch on a foundation.

khipu is a device for the registry of information in numerical form. It consists of a primary horizontal cord to which a variable number of vertical cords are attached, and the numbers were introduced by knots. A single knot is up to nine loops to give the value: nine. The absence of knots in the denoted position indicates zero. The units were at the farther or lower end of the string, the higher multiples of tens, hundreds or thousands were placed on the upper part.

Cañuto - translates literally as a part of a cane from knot to knot (definition from the Diccionario de la Real Academia de la Lengua Española). A short tube, not very long nor thick. The canuto on the khipu is a tube formed by wrapping together several cords with colorful yarns, at the beginning of the cords, near the main cord. In this khipu, there are thirty-five canutos or groupings: twenty-seven groupings of four strings, six of three strings and two of two strings. The total number of cords is 130. The maximum length of the knotted strings is 120 cm. and the shortest is 52 cm. The part of the main cord with attached knotted strings is only 25 cm. long. This main cord has extensions on both sides but only up to 40 cm. are preserved. There are three main levels of composite knots, but up to four levels. The coding in three colors of the canuto is repeated in two-three adjoining canutos. In addition, there is coding in two colors at the lower end of each individual string, differing from the canuto. The seriation is four with some exceptions.
This khipu was one of a group of three, found together. There are similar khipus in the Poli Collection and "Banco Central de la Reserva" (two colors).
Arellano (1999) describes this type of khipus "with canutos". See also Radicati di Primegio (1990). Bonavia (1993) classifies a similar khipu as "Huari? 500/600-900 CE". However, we are convinced that Cat. 281 is typical Inca (1450-1530 CE). The much older Huari khipus (600-900 CE) are different in construction or in many other aspects (Conklin, 1990).
With reference to the color wrapping of the cords, Conklin (1990) states that this technique began in Chavin times. The 'wrapping of warps' system was continued in the Middle Horizon: "the study of the Khipus de Canuto show clear evidence that the khipus must have had a long period of development and were not an Inca invention". He notes further, "it is possible that the mathematics of the Inca system developed from the art and ritual of previous times. The decimal system propitiated the use of a plurality of bases. Perhaps the information on the Middle Horizon Khipus had a bigger relation to the rituals than with astronomy."
Recently, Shady (see Mann, 2005) found rudimentary devices resembling khipus (pendant strings twisted around small sticks) at the ancient ceremonial center of Caral (2500-1600 BCE). If this is confirmed, it would be among the oldest textile manifestations in Peru and one of the earliest recording systems in the world. For a list of references on khipus, see our Note # 382.