KH0698 - Pendant Pendant Sums


Drawings:

Right Handed Sums:     # Sums = 154,  Max # Summands = 32,   (Min, Mean, Max) Sum Values = (11, 72, 535)
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Left Handed Sums:     # Sums = 129,  Max # Summands = 25,   (Min, Mean, Max) Sum Values = (11, 77, 535)
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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 : 67W673g8p2: 59W + g8p3: 0W:PB + g8p4: 8PB
3
g1p8 : 20W202g6p3: 14W:PB + g6p4: 6PB
4
g2p1 : 218W2186g3p5: 8W + g3p6: 0W + g3p7: 24W + g3p8: 10W + g3p9: 21W + g4p1: 155W
5
g2p5 : 29W292g6p4: 6PB + g6p5: 23W
6
g2p8 : 16W163g14p2: 2W + g14p3: 12W:PB + g14p4: 2PB
7
g2p9 : 47W475g3p4: 5PB + g3p5: 8W + g3p6: 0W + g3p7: 24W + g3p8: 10W
8
g3p1 : 140W1408g29p2: 17W + g29p3: 8W:PB + g29p4: 10PB + g29p5: 14W + g29p6: 21W + g29p7: 20W + g29p8: 16W + g29p9: 34W
9
g4p1 : 155W1555g12p3: 59W:PB + g12p4: 1PB + g12p5: 30YB + g12p6: 30YB + g12p7: 35W
10
g5p6 : 25W252g10p6: 20W + g10p7: 5W
11
g5p9 : 44W443g7p3: 27W:PB + g7p4: 6PB + g7p5: 11W
12
g6p1 : 219W21917g17p9: 14W + g18p1: 70W + 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
13
g6p3 : 14W:PB145g8p4: 8PB + g8p5: 1W + g8p6: 0W + g8p7: 0W + g8p8: 5W
14
g6p5 : 23W236g23p3: 10W:PB + g23p4: 2PB + g23p5: 6W + g23p6: 0W + g23p7: 0W + g23p8: 5W
15
g6p6 : 17W172g7p4: 6PB + g7p5: 11W
16
g7p1 : 229W2292g7p9: 19W + g8p1: 210W
17
g7p8 : 31W313g11p6: 20W + g11p7: 0W + g11p8: 11W
18
g8p1 : 210W2102g13p1: 200W + g13p2: 10W
19
g8p2 : 59W595g11p4: 10PB + g11p5: 18W + g11p6: 20W + g11p7: 0W + g11p8: 11W
20
g9p1 : 180W18014g18p1: 70W + 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
21
g9p2 : 110W1102g17p1: 100W + g17p2: 10W
22
g9p3 : 22W:PB222g15p8: 12W + g15p9: 10W
23
g9p7 : 26W:KB263g14p3: 12W:PB + g14p4: 2PB + g14p5: 12W
24
g9p8 : 220W:KB2202g12p9: 20W + g13p1: 200W
25
g10p8 : 57W572g13p8: 27W + g13p9: 30W
26
g11p9 : 36W363g24p4: 3PB + g24p5: 21YB + g24p6: 12YB
27
g12p1 : 199W1994g13p9: 30W + g14p1: 155W + g14p2: 2W + g14p3: 12W:PB
28
g12p3 : 59W:PB594g19p5: 10W + g19p6: 9W + g19p7: 16W + g19p8: 24W
29
g12p7 : 35W353g19p5: 10W + g19p6: 9W + g19p7: 16W
30
g13p1 : 200W2008g24p6: 12YB + g24p7: 14YB + g24p8: 12W + g24p9: 18W + g25p1: 117W + g25p2: 10W + g25p3: 12W:PB + g25p4: 5PB
31
g13p6 : 17W172g15p3: 10W:PB + g15p4: 7PB
32
g13p7 : 25W252g16p5: 19W + g16p6: 6W
33
g13p8 : 27W275g17p5: 13W + g17p6: 0W + g17p7: 0W + g17p8: 0W + g17p9: 14W
34
g13p9 : 30W302g15p2: 20W + g15p3: 10W:PB
35
g14p1 : 155W1557g21p2: 26W + g21p3: 77W:PB + g21p4: 14PB + g21p5: 0W + g21p6: 0W + g21p7: 18W + g21p8: 20W
36
g14p9 : 53W538g17p2: 10W + g17p3: 10W:PB + g17p4: 6PB + g17p5: 13W + g17p6: 0W + g17p7: 0W + g17p8: 0W + g17p9: 14W
37
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
38
g15p5 : 30W305g19p9: 26W + g20p1: 0W + g20p2: 0W + g20p3: 0W:PB + g20p4: 4PB
39
g15p7 : 20W202g16p6: 6W + g16p7: 14W
40
g15p8 : 12W122g23p3: 10W:PB + g23p4: 2PB
41
g16p1 : 326W32632g17p5: 13W + g17p6: 0W + g17p7: 0W + g17p8: 0W + g17p9: 14W + g18p1: 70W + 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 + g19p9: 26W + g20p1: 0W + g20p2: 0W + g20p3: 0W:PB + g20p4: 4PB + g20p5: 0YB + g20p6: 0YB + g20p7: 9W + g20p8: 16W + g20p9: 15W
42
g16p3 : 52W:PB525g21p4: 14PB + g21p5: 0W + g21p6: 0W + g21p7: 18W + g21p8: 20W
43
g16p5 : 19W192g17p4: 6PB + g17p5: 13W
44
g16p8 : 34W343g25p5: 10W + g25p6: 8W + g25p7: 16W
45
g16p9 : 33W336g17p4: 6PB + g17p5: 13W + g17p6: 0W + g17p7: 0W + g17p8: 0W + g17p9: 14W
46
g17p5 : 13W134g20p4: 4PB + g20p5: 0YB + g20p6: 0YB + g20p7: 9W
47
g18p1 : 70W707g19p7: 16W + g19p8: 24W + g19p9: 26W + g20p1: 0W + g20p2: 0W + g20p3: 0W:PB + g20p4: 4PB
48
g19p1 : 100W1007g22p2: 21W + g22p3: 33W:PB + g22p4: 15PB + g22p5: 2W + g22p6: 0W + g22p7: 18W + g22p8: 11W
49
g19p8 : 24W242g24p3: 21W:PB + g24p4: 3PB
50
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
51
g21p2 : 26W262g24p6: 12YB + g24p7: 14YB
52
g21p3 : 77W:PB775g24p5: 21YB + g24p6: 12YB + g24p7: 14YB + g24p8: 12W + g24p9: 18W
53
g21p8 : 20W203g22p5: 2W + g22p6: 0W + g22p7: 18W
54
g21p9 : 91W916g27p4: 12PB + g27p5: 20W + g27p6: 23W + g27p7: 5W + g27p8: 19W + g27p9: 12W
55
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
56
g22p3 : 33W:PB332g24p5: 21YB + g24p6: 12YB
57
g22p4 : 15PB152g25p4: 5PB + g25p5: 10W
58
g22p7 : 18W183g23p3: 10W:PB + g23p4: 2PB + g23p5: 6W
59
g22p8 : 11W114g23p5: 6W + g23p6: 0W + g23p7: 0W + g23p8: 5W
60
g22p9 : 30W306g23p4: 2PB + g23p5: 6W + g23p6: 0W + g23p7: 0W + g23p8: 5W + g23p9: 17W
61
g23p1 : 102W1026g28p4: 5PB + g28p5: 7W + g28p6: 13W + g28p7: 15W + g28p8: 44W + g28p9: 18W
62
g23p9 : 17W172g25p3: 12W:PB + g25p4: 5PB
63
g24p1 : 171W1715g24p7: 14YB + g24p8: 12W + g24p9: 18W + g25p1: 117W + g25p2: 10W
64
g24p5 : 21YB213g26p4: 1PB + g26p5: 8W + g26p6: 12W
65
g24p9 : 18W182g25p5: 10W + g25p6: 8W
66
g25p1 : 117W1173g47p4: 35PB + g47p5: 39W + g47p6: 43W
67
g25p3 : 12W:PB123g26p3: 3W:PB + g26p4: 1PB + g26p5: 8W
68
g25p8 : 17W172g26p2: 14W + g26p3: 3W:PB
69
g26p1 : 208W2082g26p9: 30YB + g27p1: 178W
70
g26p9 : 30YB304g31p3: 5W:PB + g31p4: 3PB + g31p5: 12W + g31p6: 10W
71
g27p5 : 20W202g28p5: 7W + g28p6: 13W
72
g27p6 : 23W232g30p7: 6W + g30p8: 17W
73
g27p8 : 19W194g28p2: 4W + g28p3: 3W:PB + g28p4: 5PB + g28p5: 7W
74
g27p9 : 12W123g28p2: 4W + g28p3: 3W:PB + g28p4: 5PB
75
g28p1 : 178W1788g40p4: 4PB + g40p5: 15W + g40p6: 20W + g40p7: 20W + g40p8: 3W + g40p9: 14W + g41p1: 89W + g41p2: 13W
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 : 42W425g32p3: 6W:PB + g32p4: 5PB + g32p5: 11W + g32p6: 14W + g32p7: 6W
87
g31p5 : 12W122g35p5: 6W + g35p6: 6W
88
g32p1 : 137W1376g41p1: 89W + g41p2: 13W + g41p3: 10W:PB + g41p4: 7PB + g41p5: 8W + g41p6: 10W
89
g32p6 : 14W142g34p3: 10W:PB + g34p4: 4PB
90
g33p1 : 151W1512g36p9: 20W + g37p1: 131W
91
g33p5 : 17W172g34p8: 9W + g34p9: 8W
92
g33p6 : 20W203g35p4: 8PB + g35p5: 6W + g35p6: 6W
93
g33p8 : 26W262g34p4: 4PB + g34p5: 22W
94
g34p1 : 149W1496g40p7: 20W + g40p8: 3W + g40p9: 14W + g41p1: 89W + g41p2: 13W + g41p3: 10W:PB
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 : 187W18714g41p3: 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
99
g36p5 : 22W222g42p8: 9W + g42p9: 13W
100
g36p7 : 17W172g40p8: 3W + g40p9: 14W
101
g36p8 : 21W212g38p5: 16W + g38p6: 5W
102
g37p1 : 131W1318g41p6: 10W + g41p7: 3W + g41p8: 6W + g41p9: 11W + g42p1: 85W + g42p2: 5W + g42p3: 5W:PB + g42p4: 6PB
103
g37p5 : 33W333g39p4: 7PB + g39p5: 12W + g39p6: 14W
104
g37p7 : 19W192g38p4: 3PB + g38p5: 16W
105
g37p9 : 37W373g39p5: 12W + g39p6: 14W + g39p7: 11W
106
g38p1 : 208W2089g40p2: 7W + g40p3: 36W:PB + g40p4: 4PB + g40p5: 15W + g40p6: 20W + g40p7: 20W + g40p8: 3W + g40p9: 14W + g41p1: 89W
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 : 32W324g44p4: 6PB + g44p5: 14W + g44p6: 7W + g44p7: 5W
113
g40p1 : 156W1567g40p7: 20W + g40p8: 3W + g40p9: 14W + g41p1: 89W + g41p2: 13W + g41p3: 10W:PB + g41p4: 7PB
114
g40p3 : 36W:PB364g43p5: 6W + g43p6: 13W + g43p7: 4W + g43p8: 13W
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 : 85W855g52p5: 7W + g52p6: 21W + g52p7: 29W + g52p8: 15W + g52p9: 13W
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
g47p1 : 535W53517g54p7: 41W + g54p8: 34W + g54p9: 19W + g55p1: 90W + g55p2: 16W + g55p3: 5W:PB + g55p4: 1PB + g55p5: 18W + g55p6: 11W + g55p7: 5W + g55p8: 4W + g55p9: 27W + g56p1: 191W + g56p2: 15W + g56p3: 23W:PB + g56p4: 29PB + g56p5: 6W
129
g47p2 : 31W312g50p5: 15W + g50p6: 16W
130
g47p3 : 20W:PB202g49p3: 12W:KB + g49p4: 8PB
131
g47p5 : 39W393g51p4: 4PB + g51p5: 21W + g51p6: 14W
132
g47p6 : 43W432g48p8: 13W + g48p9: 30W
133
g47p9 : 70W705g50p3: 11W:PB + g50p4: 14PB + g50p5: 15W + g50p6: 16W + g50p7: 14W
134
g48p1 : 266W26610g49p9: 18W + g50p1: 116W + g50p2: 3W + g50p3: 11W:PB + g50p4: 14PB + g50p5: 15W + g50p6: 16W + g50p7: 14W + g50p8: 35W + g50p9: 24W
135
g48p5 : 64W645g51p2: 20W + g51p3: 5W:PB + g51p4: 4PB + g51p5: 21W + g51p6: 14W
136
g48p9 : 30W302g50p6: 16W + g50p7: 14W
137
g49p7 : 33W333g54p4: 4PB + g54p5: 6W + g54p6: 23W
138
g50p6 : 16W162g52p4: 9PB + g52p5: 7W
139
g50p8 : 35W352g51p5: 21W + g51p6: 14W
140
g50p9 : 24W243g53p5: 18W + g53p6: 0W + g53p7: 6W
141
g51p1 : 165W1656g54p8: 34W + g54p9: 19W + g55p1: 90W + g55p2: 16W + g55p3: 5W:PB + g55p4: 1PB
142
g51p6 : 14W142g56p5: 6W + g56p6: 8W
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 : 18W182g57p3: 8W:PB + g57p4: 10PB
154
g56p4 : 29PB293g57p2: 11W + g57p3: 8W:PB + g57p4: 10PB

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
g9p8 : 220W:KB2203g4p9: 10W + g5p1: 200W + g5p2: 10W
9
g10p1 : 250W2502g6p9: 21W + g7p1: 229W
10
g10p8 : 57W574g2p4: 7PB + g2p5: 29W + g2p6: 10W + g2p7: 11W
11
g10p9 : 30W302g1p7: 10W + g1p8: 20W
12
g11p1 : 260W2603g7p8: 31W + g7p9: 19W + g8p1: 210W
13
g11p2 : 34W342g5p2: 10W + g5p3: 24W:PB
14
g11p5 : 18W183g3p3: 5W:PB + g3p4: 5PB + g3p5: 8W
15
g11p9 : 36W362g2p4: 7PB + g2p5: 29W
16
g12p3 : 59W:PB595g11p4: 10PB + g11p5: 18W + g11p6: 20W + g11p7: 0W + g11p8: 11W
17
g12p7 : 35W353g9p5: 9W:KB + g9p6: 0W:KB + g9p7: 26W:KB
18
g13p3 : 42W:PB424g3p5: 8W + g3p6: 0W + g3p7: 24W + g3p8: 10W
19
g13p6 : 17W172g7p4: 6PB + g7p5: 11W
20
g14p1 : 155W1555g12p3: 59W:PB + g12p4: 1PB + g12p5: 30YB + g12p6: 30YB + g12p7: 35W
21
g14p9 : 53W533g7p6: 22W + g7p7: 0W + g7p8: 31W
22
g16p1 : 326W3269g8p4: 8PB + g8p5: 1W + g8p6: 0W + g8p7: 0W + g8p8: 5W + g8p9: 0W + g9p1: 180W + g9p2: 110W + g9p3: 22W:PB
23
g16p3 : 52W:PB522g13p7: 25W + g13p8: 27W
24
g16p9 : 33W332g7p5: 11W + g7p6: 22W
25
g17p1 : 100W1004g5p6: 25W + g5p7: 14W + g5p8: 17W + g5p9: 44W
26
g17p5 : 13W132g9p4: 4PB + g9p5: 9W:KB
27
g18p1 : 70W704g15p5: 30W + g15p6: 8W + g15p7: 20W + g15p8: 12W
28
g19p7 : 16W162g17p3: 10W:PB + g17p4: 6PB
29
g19p9 : 26W263g17p2: 10W + g17p3: 10W:PB + g17p4: 6PB
30
g21p3 : 77W:PB774g16p3: 52W:PB + g16p4: 0PB + g16p5: 19W + g16p6: 6W
31
g21p8 : 20W202g17p2: 10W + g17p3: 10W:PB
32
g22p1 : 272W27224g17p3: 10W:PB + g17p4: 6PB + g17p5: 13W + g17p6: 0W + g17p7: 0W + g17p8: 0W + g17p9: 14W + g18p1: 70W + 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
33
g22p3 : 33W:PB336g17p4: 6PB + g17p5: 13W + g17p6: 0W + g17p7: 0W + g17p8: 0W + g17p9: 14W
34
g22p9 : 30W305g19p9: 26W + g20p1: 0W + g20p2: 0W + g20p3: 0W:PB + g20p4: 4PB
35
g23p1 : 102W1026g10p3: 20W:PB + g10p4: 0PB + g10p5: 0W + g10p6: 20W + g10p7: 5W + g10p8: 57W
36
g23p9 : 17W172g22p4: 15PB + g22p5: 2W
37
g24p1 : 171W1716g22p7: 18W + g22p8: 11W + g22p9: 30W + g23p1: 102W + g23p2: 0W + g23p3: 10W:PB
38
g24p6 : 12YB122g23p3: 10W:PB + g23p4: 2PB
39
g24p9 : 18W183g23p3: 10W:PB + g23p4: 2PB + g23p5: 6W
40
g25p1 : 117W1173g21p2: 26W + g21p3: 77W:PB + g21p4: 14PB
41
g26p1 : 208W2089g24p8: 12W + g24p9: 18W + g25p1: 117W + g25p2: 10W + g25p3: 12W:PB + g25p4: 5PB + g25p5: 10W + g25p6: 8W + g25p7: 16W
42
g27p1 : 178W1787g25p1: 117W + g25p2: 10W + g25p3: 12W:PB + g25p4: 5PB + g25p5: 10W + g25p6: 8W + g25p7: 16W
43
g27p3 : 20W:PB202g26p5: 8W + g26p6: 12W
44
g27p6 : 23W233g25p4: 5PB + g25p5: 10W + g25p6: 8W
45
g27p8 : 19W192g19p5: 10W + g19p6: 9W
46
g28p6 : 13W135g23p4: 2PB + g23p5: 6W + g23p6: 0W + g23p7: 0W + g23p8: 5W
47
g28p8 : 44W443g24p7: 14YB + g24p8: 12W + g24p9: 18W
48
g28p9 : 18W183g26p2: 14W + g26p3: 3W:PB + g26p4: 1PB
49
g29p1 : 166W16610g22p8: 11W + g22p9: 30W + g23p1: 102W + g23p2: 0W + g23p3: 10W:PB + g23p4: 2PB + g23p5: 6W + g23p6: 0W + g23p7: 0W + g23p8: 5W
50
g29p2 : 17W172g26p2: 14W + g26p3: 3W:PB
51
g29p6 : 21W212g26p6: 12W + g26p7: 9W
52
g29p7 : 20W202g28p5: 7W + g28p6: 13W
53
g29p9 : 34W343g25p5: 10W + g25p6: 8W + g25p7: 16W
54
g30p1 : 148W1488g5p2: 10W + g5p3: 24W:PB + g5p4: 14PB + g5p5: 0W + g5p6: 25W + g5p7: 14W + g5p8: 17W + g5p9: 44W
55
g30p9 : 42W423g25p7: 16W + g25p8: 17W + g25p9: 9YB
56
g31p5 : 12W122g30p6: 6W + g30p7: 6W
57
g32p1 : 137W1376g12p4: 1PB + g12p5: 30YB + g12p6: 30YB + g12p7: 35W + g12p8: 21W + g12p9: 20W
58
g33p6 : 20W202g32p6: 14W + g32p7: 6W
59
g33p8 : 26W262g32p8: 13W + g32p9: 13W
60
g34p2 : 22W223g32p3: 6W:PB + g32p4: 5PB + g32p5: 11W
61
g35p1 : 235W2358g32p8: 13W + g32p9: 13W + g33p1: 151W + g33p2: 5W + g33p3: 10W:PB + g33p4: 6PB + g33p5: 17W + g33p6: 20W
62
g35p7 : 18W183g31p6: 10W + g31p7: 6W + g31p8: 2W
63
g35p9 : 28W283g31p5: 12W + g31p6: 10W + g31p7: 6W
64
g36p1 : 187W1877g31p8: 2W + g31p9: 13W + g32p1: 137W + g32p2: 13W + g32p3: 6W:PB + g32p4: 5PB + g32p5: 11W
65
g36p2 : 17W172g34p8: 9W + g34p9: 8W
66
g36p5 : 22W222g34p7: 13W + g34p8: 9W
67
g37p3 : 19W:PB192g32p7: 6W + g32p8: 13W
68
g37p5 : 33W333g33p3: 10W:PB + g33p4: 6PB + g33p5: 17W
69
g37p9 : 37W373g36p2: 17W + g36p3: 10W:PB + g36p4: 10PB
70
g38p1 : 208W2086g32p5: 11W + g32p6: 14W + g32p7: 6W + g32p8: 13W + g32p9: 13W + g33p1: 151W
71
g38p2 : 16W162g33p3: 10W:PB + g33p4: 6PB
72
g38p3 : 15W:PB152g33p2: 5W + g33p3: 10W:PB
73
g38p9 : 47W472g33p8: 26W + g33p9: 21W
74
g39p1 : 115W1155g37p5: 33W + g37p6: 6W + g37p7: 19W + g37p8: 20W + g37p9: 37W
75
g39p3 : 12W:PB122g35p5: 6W + g35p6: 6W
76
g39p6 : 14W142g35p4: 8PB + g35p5: 6W
77
g39p8 : 15W152g38p6: 5W + g38p7: 10W
78
g39p9 : 32W322g36p4: 10PB + g36p5: 22W
79
g40p1 : 156W1562g33p1: 151W + g33p2: 5W
80
g40p3 : 36W:PB363g34p3: 10W:PB + g34p4: 4PB + g34p5: 22W
81
g41p1 : 89W896g36p2: 17W + g36p3: 10W:PB + g36p4: 10PB + g36p5: 22W + g36p6: 13W + g36p7: 17W
82
g42p1 : 85W853g38p7: 10W + g38p8: 28W + g38p9: 47W
83
g42p5 : 13W132g41p6: 10W + g41p7: 3W
84
g42p6 : 15W152g41p4: 7PB + g41p5: 8W
85
g43p1 : 107W1074g41p8: 6W + g41p9: 11W + g42p1: 85W + g42p2: 5W
86
g43p9 : 11W112g42p3: 5W:PB + g42p4: 6PB
87
g44p1 : 113W1137g36p3: 10W:PB + g36p4: 10PB + g36p5: 22W + g36p6: 13W + g36p7: 17W + g36p8: 21W + g36p9: 20W
88
g45p1 : 65W656g38p2: 16W + g38p3: 15W:PB + g38p4: 3PB + g38p5: 16W + g38p6: 5W + g38p7: 10W
89
g45p9 : 11W112g44p7: 5W + g44p8: 6W
90
g46p1 : 179W1799g43p7: 4W + g43p8: 13W + g43p9: 11W + g44p1: 113W + g44p2: 1W + g44p3: 10W:PB + g44p4: 6PB + g44p5: 14W + g44p6: 7W
91
g46p3 : 22W:PB224g45p3: 8W:PB + g45p4: 4PB + g45p5: 5W + g45p6: 5W
92
g46p5 : 18W184g45p4: 4PB + g45p5: 5W + g45p6: 5W + g45p7: 4W
93
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
94
g47p2 : 31W313g46p2: 5W + g46p3: 22W:PB + g46p4: 4PB
95
g47p3 : 20W:PB203g45p7: 4W + g45p8: 5W + g45p9: 11W
96
g47p4 : 35PB357g45p2: 4W + g45p3: 8W:PB + g45p4: 4PB + g45p5: 5W + g45p6: 5W + g45p7: 4W + g45p8: 5W
97
g47p5 : 39W394g42p3: 5W:PB + g42p4: 6PB + g42p5: 13W + g42p6: 15W
98
g47p6 : 43W436g44p2: 1W + g44p3: 10W:PB + g44p4: 6PB + g44p5: 14W + g44p6: 7W + g44p7: 5W
99
g47p7 : 34W344g46p7: 5W + g46p8: 7W + g46p9: 0W + g46p10: 22W
100
g47p8 : 12W122g46p7: 5W + g46p8: 7W
101
g47p9 : 70W705g34p4: 4PB + g34p5: 22W + g34p6: 22W + g34p7: 13W + g34p8: 9W
102
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
103
g48p5 : 64W647g42p3: 5W:PB + g42p4: 6PB + g42p5: 13W + g42p6: 15W + g42p7: 3W + g42p8: 9W + g42p9: 13W
104
g48p9 : 30W305g45p5: 5W + g45p6: 5W + g45p7: 4W + g45p8: 5W + g45p9: 11W
105
g49p1 : 178W1788g40p4: 4PB + g40p5: 15W + g40p6: 20W + g40p7: 20W + g40p8: 3W + g40p9: 14W + g41p1: 89W + g41p2: 13W
106
g49p5 : 21W214g45p2: 4W + g45p3: 8W:PB + g45p4: 4PB + g45p5: 5W
107
g49p6 : 33W333g46p4: 4PB + g46p5: 18W + g46p6: 11W
108
g50p1 : 116W1163g47p7: 34W + g47p8: 12W + g47p9: 70W
109
g50p6 : 16W162g48p6: 10W + g48p7: 6W
110
g50p9 : 24W242g48p3: 12W:PB + g48p4: 12PB
111
g51p1 : 165W1657g43p6: 13W + g43p7: 4W + g43p8: 13W + g43p9: 11W + g44p1: 113W + g44p2: 1W + g44p3: 10W:PB
112
g51p2 : 20W202g49p3: 12W:KB + g49p4: 8PB
113
g51p7 : 17W172g48p2: 5W + g48p3: 12W:PB
114
g52p1 : 215W2155g51p1: 165W + g51p2: 20W + g51p3: 5W:PB + g51p4: 4PB + g51p5: 21W
115
g52p2 : 51W513g51p6: 14W + g51p7: 17W + g51p8: 20W
116
g52p7 : 29W293g51p2: 20W + g51p3: 5W:PB + g51p4: 4PB
117
g53p1 : 158W1585g49p8: 10W + g49p9: 18W + g50p1: 116W + g50p2: 3W + g50p3: 11W:PB
118
g53p8 : 19W192g49p2: 7W + g49p3: 12W:KB
119
g54p1 : 221W2218g52p9: 13W + g53p1: 158W + g53p2: 13W + g53p3: 0W:KB + g53p4: 13PB + g53p5: 18W + g53p6: 0W + g53p7: 6W
120
g54p7 : 41W413g49p3: 12W:KB + g49p4: 8PB + g49p5: 21W
121
g55p1 : 90W908g53p2: 13W + g53p3: 0W:KB + g53p4: 13PB + g53p5: 18W + g53p6: 0W + g53p7: 6W + g53p8: 19W + g53p9: 21W
122
g55p2 : 16W162g52p4: 9PB + g52p5: 7W
123
g55p9 : 27W273g52p3: 11W:PB + g52p4: 9PB + g52p5: 7W
124
g56p1 : 191W1916g49p7: 33W + g49p8: 10W + g49p9: 18W + g50p1: 116W + g50p2: 3W + g50p3: 11W:PB
125
g56p2 : 15W152g54p3: 11W:PB + g54p4: 4PB
126
g56p4 : 29PB292g55p5: 18W + g55p6: 11W
127
g57p1 : 329W32910g55p8: 4W + g55p9: 27W + g56p1: 191W + g56p2: 15W + g56p3: 23W:PB + g56p4: 29PB + g56p5: 6W + g56p6: 8W + g56p7: 14W + g56p8: 12W
128
g57p7 : 38W382g56p2: 15W + g56p3: 23W:PB
129
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.