HARMONIC CONJUGATES

HARMONIC CONJUGATES AMONG
TRIANGLE CENTERS X(1) TO X(1320)

Definition. Suppose W, X, Y, Z are collinear points. Then W and X are harmonic conjugates (of each other) with respect to Y and Z if
|WY|/|WZ| = |XY|/|XZ|.
If P = u : v : w and Q = x : y : z are triangle centers and s and t are real-valued functions of (a,b,c) such that su and tx have the same degree of homogeneity in (a,b,c), then the points
F = su + tx : sv + ty : sw + tz and G = su - tx : sv - ty : sw - tz
are harmonic conjugates with respect to P and Q. Conversely, for any pair F and G with respect to which P and Q are harmonic conjugates, such s and t must exist.
In the following list, each entry has the form H,I  J,K and represents the following (equivalent) statements:
(1)    X(H) is the {X(J),X(K)}-harmonic conjugate of X(I).
(2)    X(H) and X(I) are a pair of harmonic conjugates with respect to X(J) and X(K).
(3)    X(J) and X(K) are a pair of harmonic conjugates with respect to X(H) and X(I).
1,2  10,1125
1,2  498,499
1,2  612,614
1,3  35,36
1,3  55,56
1,3  1038,1040
1,3  1060,1062
1,4  33,34
1,4  226,950
1,4  388,497
1,4  1056,1058
1,5  11,12
1,5  495,496
1,6  37,1100
1,6  611,613
1,7  175,176
1,7  481,482
1,8  2,145
1,9  6,37
1,9  44,45
1,9  72,405
1,9  220,1212
1,9  238,984
1,9  392,956
1,9  958,960
1,10  2,8
1,11  5,496
1,12  5,495
1,31  58,595
1,35  3,55
1,36  3,56
1,36  55,999
1,40  55,65
1,43  2,42
1,43  8,1193
1,43  10,386
1,43  145,1201
1,43  239,869
1,44  6,45
1,45  37,44
1,46  3,65
1,46  40,57
1,46  55,942
1,46  171,986
1,46  31,255
1,46  3,999
1,47  31,255
1,56  3,999
1,56  65,1319
1,57  3,942
1,57  55,354
1,57  56,65
1,57  171,982
1,57  559,1082
1,58  21,81
1,63  31,38
1,73  1064,1066
1,78  976,1193
1,165  3,40
1,165  35,46
1,165  55,57
1,171  55,940
1,191  38,595
1,191  846,1046
1,194  192,330
1,200  8,78
1,200  42,612
1,218  6,220
1,223  34,73
1,225  4,1068
1,225  1070,1072
1,238  6,1001
1,238  958,1191
1,238  960,1104
1,269  7,77
1,364  365,367
1,386  42,1193
1,388  5,1056
1,405  37,1104
1,405  958,1001
1,481  7,175
1,482  7,176
1,484  35,65
1,484  40,46
1,497  4,1058
1,499  1125,1210
1,564  1087,1109
1,609  32,172
1,610  19,48
1,846  63,968
1,920  255,774
1,936  7,28
1,936  10,997
1,936  386,975
1,936  612,1193
1,936  614,976
1,942  65,354
1,950  944,1058
1,958  405,956
1,960  72,392
1,978  2,1193
1,978  8,1201
1,978  10.995
1,978  78,614
1,978  145,1149
1,978  386,1125
1,995  42,1149
1,995  1193,1201
1,997  976,1201
1,999  354,1319
1,1001  37,1279
1,1010  86,1043
1,1038  3,1060
1,1040  3,1062
1,1044  20,1042
1,1054  100,244
1,1125  10,551
1,1193  42,1201
1,1193  386,995
1,1201  1149,1193
1,1210  2,938

2,1  10,1125
2,1  498,499
2,1  612,614
2,3  4,631
2,3  5,140
2,3  21,404
2,3  405,474
2,3  465,466
2,4  3,5
2,4  25,427
2,4  27,469
2,4  297,458
2,4  378,403
2,4  379,857
2,4  382,546
2,4  383,1080
2,4  405,442
2,4  406,475
2,4  470,471
2,4  472,473
2,4  868,1316
2,6  395,396
2,6  590,615
2,7  9,142
2,7  57,226
2,8  1,10
2,8  936,1210
2,20  3,4
2,20  5,631
2,20  21,377
2,20  27,464
2,20  405,443
2,21  3,405
2,22  3,25
2,23  22,25
2,23  468,858
2,23  1113,1114
2,25  4,459
2,25  427,468
2,31  171,238
2,31  748,750
2,38  244,756
2,38  982,984
2,42  1,43
2,43  42,899
2,54  569,1147
2,63  9,57
2,68  569,1209
2,69  6,141
2,69  183,325
2,69  298,299
2,69  302,303
2,69  343,394
2,69  491,492
2,69  940,1211
2,69  1270,1271
2,78  1,936
2,81  6,940
2,81  86,333
2,92  278,281
2,97  95,275
2,99  115,620
2,140  5,632
2,144  7,9
2,144  63,329
2,145  1,8
2,145  78,938
2,146  74,113
2,147  98,114
2,148  99,115
2,149  11,100
2,150  101,116
2,151  102,117
2,152  103,118
2,153  104,119
2,171  31,750
2,183  141,230
2,188  557,558
2,192  37,75
2,193  6,69
2,193  86,966
2,193  230,1007
2,194  39,76
2,194  305,1194
2,238  31,748
2,279  85,348
2,279  241,948
2,298  141,395
2,298  299,302
2,299  141,396
2,288  298,303
2,315  32,626
2,316  187,625
2,321  75,312
2,325  69,1007
2,329  9,226
2,329  63,980
2,346  75,344
2,346  312,345
2,347  278,1214
2,376  381,549
2,377  3,442
2,377  4,443
2,377  5,474
2,381  547,549
2,382  546,550
2,385  6,183
2,385  230,325
2,388  12,56
2,390  55,497
2,391  6,966
2,401  3,458
2,401  297,441
2,404  3,474
2,404  140,442
2,404  443,631
2,406  4,451
2,443  442,474
2,452  4,405
2,458  5,441
2,459  25,468
2,464  3,440
2,469  5,440
2,472  5,465
2,472  471,473
2,473  5,466
2,473  470,472
2,487  486,642
2,488  485,641
2,491  141,590
2,492  141,615
2,497  11,55
2,546  5,550
2,550  3,382
2,616  13,618
2,617  14,619
2,621  15,623
2,622  16,624
2,627  17,629
2,628  18,630
2,631  3,140
2,633  61,635
2,634  62,636
2,637  371,639
2,638  372,640
2,858  1312,1313
2,938  1,1210
2,962  40,946
2,966  6,1213
2,982  38,244
2,984  38,756
2,1056  495,999
2,1113  468,1312
2,1114  468,1313
2,1180  39,1194
2,1193  1,978
2,1194  39,1196
2,1270  69,492
2,1271  69,491
2,1278  75,192
3,1  35,36
3,1  55,56
3,1  1038,1040
3,1  1060,1062
3,2  4,631
3,2  5,140
3,2  21,404
3,2  405,474
3,2  465,466
3,4  2,20
3,4  21,411
3,4  24,378
3,4  29,412
3,4  140,550
3,4  376,631
3,4  381,382
3,4  548,549
3,5  2,4
3,5  20,631
3,5  411,1006
3,5  474,1012
3,5  549,550
3,6  15,16
3,6  32,39
3,6  50,566
3,6  52,569
3,6  58,386
3,6  61,62
3,6  187,574
3,6  216,577
3,6  284,579
3,6  371,372
3,6  389,578
3,6  500,582
3,6  567,568
3,6  570,571
3,6  572,573
3,6  575,576
3,6  580,581
3,6  583,584
3,6  1151,1152
3,20  4,376
3,20  5,548
3,22  186,376
3,24  4,186
3,25  2,22
3,25  4,24
3,25  5,26
3,25  186,378
3,25  199,1011
3,26  20,186
3,26  22,24
3,31  601,602
3,32  39,187
3,39  32,574
3,40  1,165
3,46  65,1155
3,49  184,1147
3,55  1,35
3,56  1,36
3,61  15,62
3,62  16,61
3,65  1,46
3,69  487,488
3,72  63,78
3,140  2,631
3,140  5,549
3,140  404,1006
3,155  185,1092
3,155  394,1181
3,159  157,160
3,169  910,1212
3,185  184,1204
3,218  41,672
3,219  48,71
3,222  73,603
3,225  1074,1076
3,255  212,603
3,298  627,633
3,299  628,634
3,371  6,1151
3,376  6,1152
3,381  548,550
3,381  4,5
3,381  20,140
3,382  376,549
3,381  550,631
3,382  2,550
3,382  5,20
3,382  26,378
3,382  140,376
3,382  548,631
3,394  1147,1216
3,405  2,21
3,405  4,1006
3,440  2,464
3,442  2,377
3,458  2,401
3,474  2,494
3,500  581,991
3,550  20,376
3,567  569,578
3,568  52,389
3,569  182,578
3,575  182,576
3,581  386,991
3,631  140,549
3,633  617,627
3,634  616,628
3,637  489,492
3,638  490,491
3,942  1,57
3,958  10,993
3,970  386,573
3,999  1,56
3,999  36,55
3,1012  20,21
3,1012  376,1006
3,1060  1,1038
3,1062  1,1040
3,1147  184,1092
3,1181  184,185
3,1191  595,995
3,1260  78,995
4,1  33,34
4,1  226,950
4,1  388,497
4,1  1056,1058
4,2  3,5
4,2  25,427
4,2  27,469
4,2  297,458
4,2  378,403
4,2  379,857
4,2  382,546
4,2  383,1080
4,2  405,442
4,2  406,475
4,2  470,471
4,2  472,473
4,2  868,1316
4,3  2,20
4,3  21,411
4,3  24,378
4,3  29,412
4,3  140,550
4,3  376,631
4,3  381,382
4,3  548,549
4,5  3,381
4,5  235,427
4,6  397,398
4,20  5,382
4,24  3,25
4,25  427,428
4,25  462,463
4,28  27,29
4,54  184,578
4,69  76,315
4,69  264,317
4,69  621,622
4,69  633,634
4,69  637,638
4,72  9,329
4,140  5,550
4,186  3,24
4,186  25,378
4,186  376,459
4,186  1113,1114
4,196  65,1118
4,278  34,225
4,315  76,316
4,376  3,20
4,381  5,546
4,389  51,185
4,393  6,53
4,403  5,235
4,403  25,381
4,403  1312,1313
4,405  2,452
4,406  25,429
4,419  25,458
4,419  297,460
4,420  297,419
4,429  407,430
4,443  2,377
4,451  2,406
4,451  28,429
4,451  29,860
4,458  427,460
4,459  2,25
4,459  20,235
4,459  28,406
4,469  427,430
4,470  427,462
4,470  471,473
4,471  427,463
4,471  470,472
4,487  489,491
4,488  490,492
4,547  5,632
4,631  2,3
4,631  5,20
4,633  621,634
4,634  622,633
4,860  407,429
4,920  46,90
4,942  7,938
4,1006  3,405
4,1056  1,388
4,1058  1,497
4,1068  1,225
4,1075  185,1093
4,1119  7,273
4,1148  65,158
4,1235  76,264
4,1249  6,393
5,1  11,12
5,1  495,496
5,3  2,4
5,3  20,631
5,3  411,1006
5,3  474,1012
5,3  549,550
5,4  3,381
5,4  235,427
5,6  485,486
5,20  3,382
5,20  4,631
5,26  3,25
5,49  54,110
5,54  49,567
5,61  14,17
5,61  396,398
5,62  13,18
5,62  395,398
5,140  2,3
5,140  546,547
5,140  549,632
5,141  623,624
5,141  635,636
5,141  639,640
5,143  51,52
5,235  4,403
5,343  52,1209
5,382  4,20
5,395  18,62
5,396  17,61
5,397  13,62
5,398  14,61
5,440  2,469
5,441  2,458
5,465  2,472
5,466  2,473
5,474  2,377
5,495  1,12
5,496  1,11
5,546  4,381
5,548  3,20
5,548  382,631
5,549  3,140
5,549  381,547
5,549  550,632
5,550  2,546
5,550  4,140
5,550  20,548
5,631  2,20
5,632  2,140
5,632  4,547
5,635  623,636
5,636  624,635
5,942  226,1210

6,1  37,1100
6,1  611,613
6,2  395,396
6,2  590,615
6,3  15,16
6,3  32,39
6,3  50,566
6,3  52,569
6,3  58,386
6,3  61,62
6,3  187,574
6,3  216,577
6,3  284,579
6,3  371,372
6,3  389,578
6,3  500,582
6,3  567,568
6,3  570,571
6,3  572,573
6,3  575,576
6,3  580,581
6,3  583,584
6,3  1151,1152
6,4  397,398
6,5  485,486
6,9  37,44
6,15  16,61
6,16  15,62
6,19  607,608
6,22  251,1180
6,25  51,184
6,31  605,606
6,37  1,9
6,37  44,1100
6,45  1,44
6,45  9,37
6,48  41,604
6,50  571,577
6,53  4,393
6,55  31,42
6,69  2,193
6,75  239,894
6,141  2,69
6,154  25,184
6,154  159,206
6,183  2,385
6,187  32,574
6,216  39,800
6,220  1,218
6,220  9,219
6,325  491,492
6,381  13,14
6,393  4,1249
6,566  216,570
6,570  39,216
6,571  32,577
6,574  39,141
6,599  69,141
6,940  2,81
6,966  2,391
6,999  202,203
6,1001  1,239
6,1030  579,584
6,1151  3,371
6,1152  3,372
6,1213  2,966

7,1  175,176
7,1  481,482
7,2  9,142
7,2  57,226
7,8  65,388
7,8  69,75
7,9  2,144
7,57  226,553
7,69  75,320
7,77  1,269
7,175  1,481
7,176  1,482
7,273  4,1119
7,938  4,942
8,1  2,145
8,2  1,10
8,2  936,1210
8,7  65,388
8,7  69,75
8,9  346,391
8,21  55,958
8,21  333,1043
8,69  75,319
8,78  1,200
8,192  585,586
8,329  4,72
8,452  9,950
8,556  1143,1274
8,978  899,1201
8,1193  1,43
8,1201  1,978
9,1  6,37
9,1  44,45
9,1  72,405
9,1  220,1212
9,1  238,984
9,1  392,956
9,1  958,960
9,6  37,44
9,7  2,144
9,8  346,391
9,37  6,45
9,40  19,71
9,48  101,572
9,40  2,63
9,57  1276,1277
9,57  2,7
9,142  55,210
9,200  6,220
9,219  2,329
9,226  31,756
9,612  38,748
9,614  38,748
9,950  8,452
9,1001  405,954
10,1  2,8
10,35  21,100
10,37  594,1213
10,56  474,956
10,58  333,1010
10,72  65,210
10,226  12,65
10,226  72,442
10,386  1,43
10,551  1,1125
10,993  3,958
10,995  1,978
10,997  1,936
10,1125  1,2
11,1  5,496
11,12  1,5
11,55  2,497
11,65  946,1210
11,100  2,149
12,1  5,495
12,11  1,5
12,56  2,388
12,65  10,226
12,201  756,1254
13,14  6,381
13,18  5,62
13,62  5,397
13,618  2,616

14,13  6,381
14,17  5,61
14,61  5,398
14,619  2,617

15,6  16,61
15,16  3,6
15,16  182,574
15,18  140,398
15,61  371,372
15,62  3,61
15,62  6,16
15,623  2,621
16,6  15,62
16,15  3,6
16,15  182,574
16,17  140,397
16,61  3,62
16,61  6,15
16,62  371,372
16,624  2,622
17,14  5,61
17,16  140,397
17,18  231,1209
17,61  5,396
17,629  2,627
18,13  5,62
18,15  140,398
18,17  231,1209
18,62  5,395
18,630  2,628
19,6  607,608
19,48  1,610
19,71  9,40
19,198  37,910
19,204  31,1096
20,2  3,4
20,2  5,631
20,2  21,377
20,2  27,464
20,2  405,443
20,3  4,376
20,3  5,548
20,4  5,382
20,5  5,382
20,5  4,631
20,21  3,1012
20,63  40,84
20,69  489,490
20,140  3,381
20,186  3,26
20,235  4,459
20,347  175,176
20,376  3,550
20,548  5,550
20,631  3,5
20,631  382,548
20,938  57,950
20,1042  1,1044
20,1270  488,637
20,1271  487,638
21,2  3,405
21,8  55,958
21,8  333,1043
21,20  3,1012
21,27  859,1012
21,29  409,413
21,29  410,414
21,81  1,58
21,100  10,35
21,377  2,20
21,377  27,1010
21,404  2,3
21,411  3,4
21,964  405,1011
22,2  3,25
22,3  186,376
22,6  251,1180
22,24  3,26
22,25  2,23
22,110  154,394
22,858  1113,1114
23,2  22,25
23,2  468,858
23,2  1113,1114
24,3  4,186
24,4  3,25
24,22  3,26
24,378  3,4
24,378  25,186
24,403  1113,1114
25,2  4,459
25,2  427,468
25,3  2,22
25,3  4,24
25,3  5,26
25,3  186,378
25,3  199,1011
25,4  427,228
25,4  462,463
25,6  51,184
25,22  2,23
25,159  154,161
25,184  6,154
25,186  24,378
25,228  55,198
25,378  4,186
25,381  4,403
25,427  2,4
25,427  428,468
25,429  4,406
25,458  4,419
25,468  2,459
25,468  1113,1114
25,1184  32,1196
25,1204  64,1192
26,3  20,186
26,3  22,24
26,5  3,25
26,156  154,155
26,378  3,382
27,21  859,1012
27,29  4,28
27,464  2,20
27,469  2,4
27,1010  21,377
28,4  27,29
28,406  4,459
28,429  4,451
28,451  429,468
29,21  409,413
29,21  410,414
29,27  4,28
29,412  3,4
29,860  4,451
31,1  58,595
31,2  171,238
31,2  748,750
31,3  601,602
31,6  605,606
31,38  1,63
31,41  32,213
31,42  6,55
31,55  42,902
31,63  38,896
31,244  57,614
31,255  1,47
31,386  35,1203
31,748  2,238
31,750  2,171
31,756  9,612
31,1042  56,221
31,1096  19,204
31,1106  56,603
31,1185  213,1197
31,1201  56,1191
31,1253  55,212
32,3  39,187
32,39  3,6
32,76  384,385
32,172  1,609
32,213  31,41
32,574  3,39
32,574  6,187
32,576  61,62
32,577  6,571
32,626  2,315
32,1196  25,1184
33,34  1,4
34,33  1,4
34,73  1,4
34,207  1042,1096
34,225  4,278
35,1  3,55
35,10  21,100
35,36  1,3
35,46  1,165
35,47  212,601
35,65  1,484
35,499  497,631
35,595  902,1193
35,1203  31,386
36,1  3,56
36,1  55,999
36,35  1,3
36,47  602,603
36,55  3,999
36,101  672,1055
36,498  388,631
36,999  55,56
36,1203  58,1193
37,6  1,9
37,6  44,1100
37,9  6,45
37,10  594,1213
37,44  1,45
37,44  6,9
37,55  612,968
37,75  2,192
37,210  42,756
37,894  86,190
37,910  19,198
37,1100  1,6
37,1104  1,405
37,1279  1,1001
38,2  244,756
38,2  982,984
38,31  1,63
38,244  2,982
38,595  1,191
38,748  9,614
38,750  57,612
38,756  2,984
38,896  31,63
39,3  32,574
39,32  3,6
39,76  2,194
39,182  371,372
39,187  3,32
39,187  6,574
39,213  672,1193
39,216  6,570
39,384  83,99
39,575  61,62
39,800  6,216
39,1194  2,1180
39,1196  2,1194

40,1  55,65
40,3  1,165
40,9  19,71
40,46  1,484
40,57  1,46
40,84  20,63
40,188  164,505
40,223  221,227
40,946  2,962
41,31  32,213
41,604  6,48
41,672  3,218
41,1200  55,1190
42,2  1,43
42,31  6,55
42,71  55,209
42,171  81,100
42,612  1,200
42,756  37,210
42,899  2,43
42,902  31,55
42,995  1149,1193
42,1042  65,73
42,1149  1,995
42,1193  1,386
42,1201  1,1193
42,1254  995,1149
43,1  2,42
43,1  8,1193
43,1  10,386
43,1  145,1201
43,1  239,869
43,2  42,899
44,1  6,45
44,37  1,45
44,37  6,9
44,45  1,9
44,1100  6,37
44,1155  896,899
45,1  37,44
45,6  1,44
45,6  9,37
45,44  1,9
45,594  346,966
46,1  3,65
46,1  40,57
46,1  55,942
46,1  171,986
46,3  65,1155
46,35  1,165
46,40  1,484
46,47  109,580
46,90  4,920
46,158  412,653
47,1  31,255
47,35  212,601
47,36  602,603
47,46  109,580
47,564  91,92
48,6  41,604
48,9  101,572
48,19  1,610
48,71  3,219
48,212  184,228
49,3  184,1147
49,5  54,110
49,565  93,94
49,567  5,54
50,6  571,577
50,566  3,6
50,568  371,372
51,52  5,143
51,184  6,25
51,185  4,389
51,436  107,275
52,51  5,143
52,389  3,568
52,569  3,6
52,571  371,372
52,1209  5,343
53,6  4,393
53,141  264,297
53,343  324,467
54,2  569,1147
54,4  184,578
54,5  49,567
54,110  5,49
54,389  186,1199
54,631  182,1092
54,1273  627,628
55,3  1,35
55,6  31,42
55,11  2,497
55,31  42,902
55,36  3,999
55,37  612,968
55,56  1,3
55,56  36,999
55,57  1,165
55,57  354,1155
55,65  1,40
55,198  25,228
55,209  42,71
55,210  9,200
55,212  31,1253
55,354  1,57
55,480  200,1260
55,497  2,390
55,499  140,496
55,940  1,171
55,942  1,46
55,958  8,21
55,999  1,36
55,1155  57,165
55,1190  41,1200
56,1  3,999
56,1  65,1319
56,3  1,36
56,10  474,956
56,12  2,388
56,55  1,3
56,55  36,999
56,65  1,57
56,221  31,1042
56,221  1106,1201
56,405  993,1125
56,498  140,495
56,603  31,1106
56,1191  31,1201
57,1  3,942
57,1  55,354
57,1  56,65
57,1  171,982
57,1  559,1082
57,7  226,553
57,9  2,63
57,9  1276,1277
57,40  1,46
57,55  1,165
57,55  354,1155
57,165  55,1155
57,174  173,258
57,226  2,7
57,612  38,750
57,614  31,244
57,936  72,474
57,950  20,938
58,1  21,81
58,10   333,1010
58,101  172,213
58,386  3,6
58,573  371,372
58,595  1,31
58,849  60,593
58,1193  36,1203
60,593  58,849
60,942  81,229
61,3  15,62
61,5  14,17
61,5  396,398
61,14  5,398
61,15  371,372
61,16  3,62
61,16  6,15
61,17  5,396
61,62  3,6
61,62  32,576
61,62  39,575
61,635  2,633
62,3  16,61
62,5  13,18
62,5  395,397
62,13  5,397
62,15  3,61
62,15  6,16
62,16  371,372
62,18  5,385
62,61  3,6
62,61  32,576
62,61  39,575
62,636  2,634
63,1  31,38
63,2  9,57
63,20  40,84
63,31  38,896
63,77  222,1214
63,78  3,72
63,100  165,200
63,306  69,345
63,329  2,144
63,394  219,222
63,612  171,984
63,614  238,982
63,908  2,329
63,968  1,846
63,1038  201,603
64,1192  25,1204
65,3  1,46
65,11  946,1210
65,12  10,226
65,35  1,484
65,55  1,40
65,56  1,57
65,73  42,1042
65,158  4,1148
65,210  10,72
65,227  42,1254
65,354  1,942
65,388  7,8
65,497  938,962
65,1118  4,196
65,1155  3,46
65,1319  1,56
68,2  569,1209
69,2  6,141
69,2  183,325
69,2  298,299
69,2  302,303
69,2  343,394
69,2  491,492
69,2  940,1211
69,2  1270,1271
69,3  487,488
69,4  76,315
69,4  264,317
69,4  621,622
69,4  633,634
69,4  637,638
69,6  2,193
69,7  75,320
69,8  75,319
69,20  489,490
69,75  7,8
69,75  319,320
69,76  311,1232
69,141  6,599
69,190  144,346
69,302  298,303
69,303  299,302
69,311  76,264
69,317  264,340
69,326  77,78
69,345  63,306
69,348  77,307
69,376  616,617
69,491  2,1271
69,492  2,1270
69,621  622,633
69,622  621,634
69,631  627,628
69,1007  2,325
71,19  9,40
71,42  55,209
71,48  3,219
72,3  63,78
72,4  8,329
72,10  65,210
72,392  1,960
72,405  1,9
72,442  10,226
72,474  57,936
72,1214  73,201
73,1  1064,1066
73,34  1,223
73,65  42,1042
73,201  72,1214
73,603  3,222
73,1038  77,78
74,113  2,146
75,6  239,894
75,37  2,192
75,69  7,8
75,69  319,320
75,76  313,1269
75,86  274,314
75,141  594,1086
75,192  2,1278
75,264  273,318
75,312  2,321
75,312  346,1229
75,319  8,69
75,320  7,69
75,344  2,346
76,32  384,385
76,39  2,194
76,69  311,1232
76,75  313,1269
76,264  4,1235
76,264  69,311
76,304  85,312
76,315  4,69
76,316  4,315
77,7  1,269
77,63  222,1214
77,78  69,326
77,78  73,1038
77,307  69,348
77,961  175,176
78,1  976,1193
78,2  1,936
78,8  1,200
78,63  3,72
78,77  69,326
78,77  73,1038
78,614  1,978
78,938  2,145
78,1259  3,1260
81,2  6,940
81,2  86,333
81,21  1,58
81,100  42,171
81,229  60,942
83,99  39,384
84,40  20,63
85,312  76,304
85,348  2,279
86,75  274,314
86,190  37,894
86,333  2,81
86,966  2,193
86,1043  1,1010
86,1043  314,332
88,100  244,1054
90,46  4,920
91,92  47,564
92,2  278,281
92,91  47,564
92,306  312,322
92,306  49,565
93,94  49,565
94,93  49,565
94,328  300,301
95,275  2,97
97,2  95,275
98,114  2,147
99,2  115,620
99,83  39,384
99,115  2,148
99,645  190,662
99,671  115,148
100,11  2,149
100,21  10,35
100,63  165,200
100,81  42,171
100,88  244,1054
100,110  643,662
100,238  899,902
100,244  1,1054
100,644  101,1018
101,36  672,1055
101,58  172,213
101,116  2,150
101,572  9,48
101,573  198,219
101,644  1018,1023
101,1018  100,644
102,117  2,151
103,118  2,152
104,119  2,153
107,275  51,436
109,580  46,47
110,22  154,394
110,54  5,49
110,100  643,662
112,186  187,232
113,74  2,146
113,265  381,399
114,98  2,147
115,99  2,148
115,148  99,671
115,620  2,99
116,101  2,150
117,102  2,151
118,103  2,152
119,104  2,153
140,2  5,632
140,3  2,631
140,3  5,549
140,3  404,1006
140,4  5,550
140,5  2,3
140,5  546,547
140,5  549,632
140,20  3,381
140,141  641,642
140,195  323,1199
140,376  3,382
140,397  16,17
140,398  15,18
140,442  2,404
140,495  56,498
140,496  55,499
140,546  547,548
140,549  3,631
140,550  3,4
140,635  619,629
140,636  618,630
141,5  623,624
141,5  635,636
141,5  639,640
141,6  2,69
141,53  264,297
141,69  6,599
141,75  594,1086
141,140  641,642
141,183  491,492
141,230  2,183
141,230  590,615
141,395  2,298
141,396  2,299
141,549  618,619
141,590  2,491
141,615  2,492
141,623  624,635
141,624  623,636
141,632  629,630

142,9  2,7
143,5  51,52
144,2  7,9
144,2  63,329
144,145  192,193
144,346  69,190
145,2  1,8
145,2  78,938
145,144  192,193
145,1149  1,978
145,1201  1,43
146,2  74,113
147,2  98,114
148,2  99,115
148,115  99,671
149,2  11,100
150,2  101,116
151,2  102,117
152,2  103,118
153,2  104,119
154,6  25,184
154,6  159,206
154,155  26,156
154,161  25,159
154,394  22,110
155,3  185,1092
155,154  26,156
156,26  154,155
157,160  3,159
158,46  412,653
158,65  4,1148
159,3  157,160
159,25  154,161
159,206  6,154
160,157  3,159
161,154  25,159
164,505  40,188
165,1  3,40
165,1  35,46
165,1  55,57
165,57  55,1155
165,200  63,100
165,845  168,363
168,363  165,845
169,3  910,1212
171,1  55,940
171,2  31,750
171,42  81,100
171,238  2,31
171,982  1,57
171,984  63,612
171,986  1,46
172,32  1,609
172,213  58,101
173,258  57,174
174,57  173,258
175,7  1,481
175,176  1,7
175,176  20,347
175,176  77,962
175,176  279,390
176,7  1,482
176,175  1,7
176,175  20,347
176,175  77,962
176,175  279,390
182,39  371,372
182,574  15,16
182,576  3,575
182,578  3,569
182,1082  54,631
183,2  141,230
183,6  2,385
183,141  491,492
183,325  2,69
183,599  298,299
184,25  6,154
184,51  6,25
184,185  3,1181
184,228  48,212
184,578  4,54
184,1092  3,1147
184,1147  3,49
184,1204  3,185
185,3  184,1204
185,51  4,389
185,184  3,1181
185,1092  4,1075
185,1093  3,24
186,4  3,24
186,4  25,378
186,4  376,459
186,4  1113,1114
186,20  3,26
186,25  24,378
186,112  187,232
186,376  3,22
186,378  3,25
186,1199  54,389
187,6  32,574
187,39  3,32
187,39  6,574
187,232  112,186
187,574  3,6
187,576  371,372
187,625  2,316
187,6  557,558
188,2  557,558
188,40  164,505
190,69  144,346
190,86  37,894
190,662  99,645
191,1  38,595
191,1  846,1046
192,2  37,75
192,8  585,586
192,75  2,1278
192,193  144,145
192,330  1,194
193,2  6,69
193,2  86,966
193,2  230,1007
193,192  144,145
193,393  317,648
193,1007  491,492
194,1  192,330
194,2  39,76
194,2  305,1194
195,140  323,1199
196,4  65,1118
198,19   37,910
198,55  25,228
199,1011  3,25
200,1  8,78
200,1  42,612
200,9  55,210
200,165  63,100
200,1260  55,480
201,12  756,1254
201,73  72,1214
201,603  63,1038
202,203  6,999
203,202  6,999
204,19  31,1096
206,159  6,154
207,34  1042,1096
209,55  42,71
210,37  42,756
210,55  9,200
210,65  10,72
210,1319  956,997
212,48  184,228
212,55  31,1253
212,601  35,47
212,603  3,255
213,32  31,41
213,39  672,1193
213,172  58,101
213,1197  31,1185
216,6  39,800
216,39  6,570
216,570  6,566
216,577  3,6
216,578  371,372
218,1  6,220
218,3  41,672
219,3  48,71
219,9  6,220
219,198  101,573
219,222  63,394
220,6  1,218
220,6  9,219
220,121  1,9
221,56  31,1042
221,56  1106,1201
221,227  40,223
222,3  73,603
222,219  63,394
222,1214  63,77
223,1  34,73
223,40  221,227
225,1  4,1068
225,1  1070,1072
225,3  1074,1076
225,34  4,278
226,9  2,329
226,10  12,65
226,10  72,442
226,57  2,7
226,553  7,57
226,950  1,4
226,1210  5,942
227,65  42,1254
227,221  40,223
228,25  55,198
228,184  55,198
229,81  60,942
230,141  2,183
230,141  590,615
230,325  2,385
230,1007  2,193
230,1209  17,18
232,187  187
235,5  4,403
235,20  4,459
235,427  4,5
237,862  855,861
237,1316  401,419
237,1316  1113,1114
238,1  6,1001
238,1  958,1191
238,1  960,1104
238,2  31,748
238,100  899,902
238,171  2,31
238,982  63,614
238,984nbsp; 1,9
239,982  1,43
239,984nbsp; 6,75
241,948  2,279
244,31  57,614
244,38  2,982
244,100  1,1054
244,756  2,38
244,902  1155,1279
244,1054  88,100
251,1180  6,22
255,3  212,603
255,31  1,47
255,774  1,920
255,920  774,896
258,173  57,174
264,75  273,318
264,76  4,1235
264,76  69,311
264,297  53,141
264,317  4,69
264,340  69,317
265,113  381,399
269,1  7,77
273,7  4,1119
273,318  75,264
274,314  75,86
275,95  2,97
275,107  51,436
278,4  34,225
278,281  2,92
278,1214  2,347
279,2  85,348
279,2  241,948
279,390  175,176
281,278  2,92
284,579  3,6
284,581  371,372
297,264  53,141
297,419  4,420
297,419  460,468
297,428  472,473
297,441  2,401
297,458  2,4
297,460  4,419
297,468  419,420
297,468  470,471
298,2  141,395
298,2  299,302
298,3  627,633
298,299  2,69
298,299  183,599
298,302  491,492
298,303  2,299
298,303  69,302
299,2  141,396
299,2  298,303
299,3  628,634
299,298  2,69
299,298  183,599
299,302  2,298
299,302  69,303
299,303  491,492
300,301  94,328
301,300  94,328
302,69  298,303
302,298  491,492
302,299  2,298
302,299  69,303
302,303  2,69
303,69  299,302
303,298  2,299
303,299  69,302
303,299  491,492
303,302  2,69
304,76  85,312
305,1194  1,194
306,63  69,345
306,92  312,322
307,77  69,348
311,69  76,264
311,1232  69,76
312,75  2,321
312,75  346,1229
312,85  76,304
312,322  92,306
312,345  2,346
313,319  314,668
313,1269  75,76
314,274  75,86
314,332  86,1043
314,668  313,319
315,2  32,626
315,4  76,316
315,76  4,69
316,2  187,625
316,76  4,315
317,69  264,340
317,264  4,69
317,648  193,393
318,273  75,264
319,75  8,69
319,313  314,668
319,320  69,75
320,75  69,75
321,2  75,312
322,312  92,306
323,1199  140,195
324,467  53,343
325,2  69,1007
325,6  491,492
325,183  2,69
325,230  2,385
326,69  77,78
328,94  300,301
329,2  9,226
329,2  63,908
329,8  4,72
329,63  2,144
330,192  1,194
332,314  86,1043
333,86  2,81
333,1010  10,58
333,1043  8,21
340,264  69,317

343,5  52,1209
343,53  324,467
343,394  2,69
344,75  2,346
345,69  63,306
345,312  2,356
346,2  75,344
346,2  312,345
346,144  69,190
346,391  8,9
346,966  45,594
346,1229  75,312
347,2  278,1214
347,20  175,176
348,69  77,307
348,85  2,279
354,55  1,57
354,65  1,942
354,1155  55,57
354,1319  1,999
363,168  165,845
364,1  365,367
365,367  1,364
367,365  1,364
371,3  6,1151
371,372  3,6
371,372  15,61
371,372  16,62
371,372  39,182
371,372  50,568
371,372  52,571
371,372  58,573
371,372  187,576
371,372  216,578
371,372  284,581
371,372  386,572
371,372  389,577
371,372  500,584
371,372  566,567
371,372  569,570
371,372  574,575
371,372  579,580
371,372  582,583
371,639  2,637
372,3  6,1152
372,371  3,6
372,371  15,61
372,371  16,62
372,371  39,182
372,371  50,568
372,371  52,571
372,371  58,573
372,371  187,576
372,371  216,578
372,371  284,581
372,371  386,572
372,371  389,577
372,371  500,584
372,371  566,567
372,371  569,570
372,371  574,575
372,371  579,580
372,371  582,583
372,639  2,638
376,2  381,549
376,3  548,550
376,4  3,20
376,20  3,550
376,69  616,617
376,140  3,382
376,186  3,22
376,459  4,186
376,549  3,381
376,631  3,4
376,1006  3,1012
377,2  3,442
377,2  4,443
377,2  5,474
377,21  2,20
377,21  27,1010
378,24  3,4
378,24  25,186
378,25  4,186
378,26  3,382
378,186  3,25
378,403  2,4
379,857  2,4
381,2  547,549
381,3  4,5
381,3  20,140
381,3  376,549
381,3  550,631
381,4  5,546
381,6  13,14
381,25  4,403
381,382  3,4
381,399  113,265
381,547  5,549
381,549  2,376
382,2  546,550
382,3  2,550
382,3  5,20
382,3  26,378
382,3  140,376
382,4  5,546
382,6  548,631
382,25  4,20
382,382  3,4
382,399  2,4
382,547  20,631
382,549  5,548
383,1080  2,4
384,39  83,99
384,385  32,76
385,2  6,183
385,2  230,325
385,384  32,76
386,1  42,1193
386,10  1,43
386,31  35,1203
386,58  3,6
386,572  371,372
386,573  3,970
386,975  1,936
386,991  3,581
386,995  1,1193
386,1125  1,978
388,1  4,1056
388,2  12,56
388,65  7,8
388,497  1,4
388,631  36,498
389,4  51,185
389,52  3,568
389,54  186,1199
389,577  371,372
389,578  3,6
390,2  55,492
390,279  175,176
391,2  6,966
391,346  8,9
392,72  1,960
392,956  1,9
393,4  6,53
393,6  4,1249
393,193  317,648
394,3  1147,1216
394,63  219,222
394,154  22,110
394,343  2,69
394,1181  3,155
395,5  18,62
395,141  2,298
395,396  2,6
395,397  5,62
396,5  17,61
396,141  2,299
396,395  2,6
396,398  5,61
397,5  13,62
397,140  16,17
397,395  5,62
397,398  4,6
398,5  14,61
398,140  15,18
398,396  5,61
398,397  4,6
399,381  113,265
401,2  3,458
401,2  297,441
401,419  237,1316
403,4  5,235
403,4  25,381
403,4  1312,1313
403,24  1113,1114
403,378  2,4
404,2  3,474
404,2  140,442
404,2  443,631
404,21  2,3
404,1006  3,140
405,1  37,1104
405,1  958,1001
405,3  2,21
405,3  4,1006
405,4  2,452
405,56  993,1125
405,72  1,9
405,442  2,4
405,443  2,20
405,474  2,3
405,954  9,1001
405,956  1,958
405,1011  21,964
406,2  4,451
406,4  25,429
406,28  4,459
406,475  2,4
407,429  4,860
407,430  4,429
409,413  21,29
410,414  21,29
411,21  3,4
411,1006  3,5
412,29  3,4
412,653  46,158
413,409  21,29
414,410  21,29
415,423  422,468
419,4  25,458
419,4  297,460
419,297  4,420
419,297  460,468
419,401  237,1316
419,420  297,468
419,450  421,468
419,470  462,468
419,471  463,468
420,4  297,419
420,419  297,468
421,468  419,450
422,468  415,423
423,415  422,468
427,25  2,4
427,25  428,468
427,235  4,5
427,428  4,25
427,430  4,469
427,460  4,458
427,462  4,470
427,463  4,471
427,468  2,25
427,468  1312,1313
428,297  472,473
428,427  4,25
428,468  25,427
429,4  407,430
429,25  4,406
429,28  4,451
429,407  4,860
429,468  28,451
430,407  4,429
430,427  4,469
436,51  107,275
440,3  2,464
440,5  2,469
441,5  2,458
441,297  2,401
442,3  2,377
442,72  10,226
442,140  2,404
442,405  2,4
442,474  2,443
443,2  442,474
443,4  2,377
443,405  2,20
443,631  2,404
450,419  421,468
451,4  2,406
451,4  28,429
451,4  29,860
451,28  429,468
452,2  4,405
452,8  9,950
458,2  5,441
458,3  2,401
458,4  427,460
458,25  4,419
458,297  2,,4
459,2  25,468
459,4  2,25
459,4  20,235
459,4  28,406
459,376  4,186
460,297  4,419
460,427  4,458
460,468  297,419
462,427  4,470
462,463  4,25
462,468  460,468
462,468  419,470
463,427  4,471
463,462  4,25
463,462  460,468
464,2  3,440
464,27  3,20
465,5  2,472
465,466  2,3
466,5  2,473
466,465  2,3
467,324  53,343
468,25  2,459
468,25  1113,1114
468,297  419,420
468,297  470,471
468,421  419,420
468,422  415,423
468,427  2,25
468,427  1312,1313
468,428  25,427
468,429  28,451
468,460  297,419
468,460  462,463
468,462  419,470
468,463  419,471
468,858  2,23
468,1312  2,1113
468,1313  2,1114
469,2  5,440
469,4  427,430
469,27  2,4
470,4  427,462
470,4  471,473
470,419  462,468
470,471  2,4
470,471  297,468
470,472  2,473
471,4  427,463
471,4  470,472
471,419  463,468
471,470  2,4
471,470  297,468
471,473  2,472
471,473  4,470
472,2  5,465
472,2  471,473
472,470  2,473
472,470  4,471
472,473  2,4
472,473  297,428
473,2  5,466
473,2  470,472
473,471  2,472
473,471  4,470
473,472  2,4
473,472  297,428
474,3  2,404
474,5  2,377
474,72  57,936
474,405  2,3
474,442  2,443
474,956  10,56
475,406  2,4
480,55  200,1260
481,1  7,175
481,482  1,7
482,1  7,176
482,481  1,7
484,1  35,65
484,1  40,46
485,486  5,6
485,641  2,488
486,485  5,6
486,642  2,487
487,2  486,642
487,4  489,491
487,488  3,69
487,638  20,1271
488,2  485,641
488,4  490,492
488,487  3,69
488,637  20,1270
489,490  20,69
489,491  4,487
489,492  6,637
490,489  20,69
490,491  3,638
490,492  4,488
491,2  141,590
491,69  2,1271
491,489  4,487
491,490  3,638
491,492  2,69
491,492  6,325
491,492  141,183
491,492  193,1007
491,492  298,302
491,492  299,303
492,2  141,615
492,69  2,1270
492,489  3,637
492,490  4,488
492,491  2,69
492,491  6,325
492,491  141,183
492,491  193,1007
492,491  298,302
492,491  299,303
495,5  1,12
495,140  56,498
495,496  1,5
495,999  2,1056
496,5  1,11
496,140  55,499
496,495  1,5
497,1  4,1058
497,2  11,55
497,55  2,390
497,65  938,962
497,388  1,4
497,631  35,499
498,36  388,631
498,56  140,495
497,499  1,2
499,1  1125,1210
499,35  497,631
499,55  140,496
499,498  1,2
500,3  581,991
500,582  3,6
500,584  371,372
505,164  40,188
546,2  5,550
546,5  4,381
546,140  547,548
546,382  2,4
546,547  5,140
546,550  2,382
547,4  5,632
547,381  5,549
547,546  5,140
547,548  140,546
547,549  2,381
548,5  3,20
548,5  382,631
548,20  5,550
548,382  20,631
548,547  140,546
548,549  3,4
548,550  3,376
548,631  3,382
549,5  3,140
549,5  381,547
549,5  550,632
549,140  3,631
549,141  618,619
549,376  3,381
549,381  2,376
549,547  2,381
549,548  3,4
549,550  3,5
549,632  5,140
550,2  3,382
550,3  20,376
550,5  2,546
550,5  4,140
550,5  20,548
550,140  3,4
550,546  2,382
550,548  3,376
550,549  3,5
550,631  3,381
550,632  5,549
551,10  1,1125
551,993  999,1001
553,226  7,57
556,8  1143,1274
557,558  2,188
558,557  2,188
559,1082  1,57
564,1  1087,1109
564,47  91,92
565,49  93,94
566,6  216,570
566,50  3,6
566,567  371,372
567,3  569,578
567,49  5,54
567,566  371,372
567,568  3,6
568,3  52,389
568,50  371,372
568,567  3,6
569,3  182,578
569,52  3,6
569,570  371,372
569,578  3,567
569,1147  2,54
569,1209  2,68
570,6  39,216
570,216  6,566
570,569  371,372
570,571  3,6
571,6  32,577
571,52  371,372
571,570  3,6
571,577  6,50

572,101  9,48
572,386  371,372
572,573  3,6
572,58  371,372
573,101  198,219
573,386  3,970
573,572  3,6
574,6  39,187
574,32  3,39
574,32  6,187
574,182  15,16
574,187  3,6
574,575  371,372
575,3  182,576
575,39  61,62
575,574  371,372
575,576  3,6
576,32  61,62
576,182  3,575
576,575  371,372
577,32  6,571
577,216  3,6
577,389  371,372
577,571  6,50
577,1192  1151,1152
578,182  3,569
578,184  4,54
578,216  371,372
578,389  3,6
578,569  3,567
579,284  3,6
579,580  371,372
579,584  6,1030
580,109  46,47
580,579  371,372
580,581  3,6
581,3  386,991
581,284  371,372
581,580  3,6
581,991  3,500
582,500  3,6
582,583  371,372
583,582  371,372
583,584  3,6
584,500  371,372
584,579  7,1030
584,583  3,6
585,586  8,192
586,585  8,192
590,141  2,491
590,615  2,6
590,615  141,230
593,60  58,849
594,45  346,966
594,1086  75,141
594,1213  10,37
595,35  902,1193
595,38  1,191
595,58  1,31
595,995  3,1191
599,6  69,141
599,183  298,299
601,212  35,47
601,602  3,31
602,601  3,31
602,603  36,47
603,56  31,1106
603,73  3,222
603,201  63,1038
603,212  3,255
603,602  36,47
604,41  6,48
605,606  6,31
606,605  6,31
607,608  6,19
608,607  6,19
609,1  32,172
610,1  19,48
611,613  1,6
612,9  31,756
612,42  1,200
612,57  38,750
612,63  171,984
612,614  1,2
612,968  37,55
612,1193  1,936
613,611  1,6
614,9  38,748
614,57  31,244
614,63  238,982
614,78  1,978
614,612  1,2
614,976  1,936
615,141  2,492
615,590  2,6
615,590  141,230
616,2  13,618
616,617  69,376
616,628  3,634
617,2  14,619
617,616  69,376
617,627  3,633
618,13  2,616
618,619  141,549
618,630  140,636
619,14  2,617
619,618  141,549
619,629  140,635
620,115  2,99
621,2  15,623
621,69  622,633
621,622  4,69
621,633  637,638
621,634  4,633
621,634  69,622
622,2  16,624
622,69  621,634
622,621  4,69
622,633  4,634
622,633  69,621
622,634  637,638
623,15  2,621
623,141  624,635
623,624  5,141
623,635  639,640
623,636  5,635
623,636  141,624
624,16  2,622
624,141  623,636
624,623  5,141
624,635  5,636
624,635  141,623
624,636  639,640
625,187  2,316
626,32  2,315
627,2  17,629
627,617  3,633
627,628  54,1273
627,633  69,631
628,2  18,630
628,616  3,634
628,627  54,1273
628,627  69,631
628,634  3,299
629,17  2,627
629,619  140,635
629,630  141,632
630,18  2,628
630,618  140,636
630,629  141,632
631,2  3,140
631,3  140,549
631,4  2,3
631,4  5,20
631,5  2,20
631,20  3,5
631,20  382,548
631,54  182,1092
631,69  627,628
631,376  3,4
631,382  5,548
631,388  36,498
631,443  2,404
631,497  35,499
631,548  3,382
631,550  3,381
632,5  2,140
632,5  4,547
632,141  629,630
632,549  5,140
632,550  5,549
633,2  61,635
633,3  617,627
633,4  621,634
633,621  637,638
633,622  4,634
633,622  69,621
633,627  3,298
633,634  4,69
634,2  62,636
634,3  616,628
634,4  622,633
634,621  4,633
634,621  69,622
634,622  637,638
634,628  3,299
634,633  4,69
635,5  623,636
635,61  2,633
635,140  619,629
635,623  639,640
635,624  5,636
635,624  141,623
635,636  5,141
636,5  624,635
636,62  2,634
636,140  618,630
636,623  5,635
636,623  141,624
636,624  639,640
636,635  5,141
637,2  371,639
637,3  489,492
637,488  20,1270
637,638  4,69
637,638  621,633
637,638  622,634
638,2  372,640
638,3  490,491
638,487  20,1271
638,637  4,69
638,637  621,633
638,637  622,634
639,371  2,637
639,640  5,141
639,640  623,635
639,640  624,636
640,372  2,639
640,639  5,141
640,639  623,635
640,639  624,636
641,485  2,488
641,642  140,141
642,486  2,487
642,641  140,141
643,662  100,110
644,100  101,1018
644,101  1018,1023
645,99  190,662
648,317  193,393
649,652  650,654
649,657  650,652
650,652  649,657
650,654  649,652
652,649  650,654
652,650  649,657
653,412  46,158
654,650  649,652
657,649  650,652
662,190  99,645
662,643  100,110
668,314  313,319
671,99  115,148
672,41  3,218
672,1055  36,101
672,1193  39,213
748,31  2,238
748,38  9,614
748,750  2,31
750,31  2,171
750,38  57,612
750,748  2,31
756,31  9,612
756,38  2,984
756,42  37,210
756,244  2,38
756,1254  12,201
774,255  1,920
774,896  255,920
800,39  6,216
845,165  168,363
846,1  63,968
846,1046  1,191
849,58  60,593
855,861  237,862
857,379  2,4
858,2  1312,1313
858,22  1113,1114
858,468  2,23
859,1012  21,27
860,4  407,429
860,29  4,451
861,855  237,862
862,237  855,861
868,1316  2,4
869,239  1,43
894,37  86,190
894,239  6,75
896,38  31,63
896,774  255,920
896,889  44,1155
899,42  2,43
899,896  44,1155
899,902  100,238
899,1201  8,978
902,42  31,55
902,244  1155,1279
902,899  100,238
902,1193  35,595
908,63  2,329
910,37  19,198
910,1212  3,169
920,1  255,774
920,4  46,90
920,255  774,896
936,1  2,78
936,1  10,997
936,1  386,975
936,1  612,1193
936,1  614,976
936,57  72,474
936,1210  2,8
938,2  1,1210
938,7  4,942
938,20  57,950
938,78  2,145
938,962  65,497
940,6  2,81
940,55  1,171
940,1211  2,69
942,1  65,354
942,3  1,57
942,4  7,938
942,5  226,1210
942,55  1,46
942,60  81,229
944,1058  1,950
946,40  2,962
948,241  2,279
950,1  944,1058
950,9  8,452
950,57  20,938
950,226  1,4
954,405  9,1001
956,392  1,9
956,405  1,958
956,474  10,56
956,997  210,1319
958,1  405,956
958,3  10,993
958,55  8,21
958,960  1,9
958,1001  1,405
958,1191  1,238
960,1  72,392
960,958  1,9
960,1104  1,238
962,2  40,946
962,77  175,176
962,938  65,497
964,21  405,1011
966,2  6,1213
966,6  2,391
966,86  2,193
966,346  45,594
968,63  1,846
968,612  37,55
970,3  386,573
975,386  1,936
976,614  1,936
976,1193  1,78
976,1201  1,997
978,1  2,1193
978,1  8,1201
978,1  10,995
978,1  78,614
978,1  145,1149
978,1  386,1125
978,9  899,1201
982,2  38,244
982,171  1,57
982,238  63,614
982,984  2,38
984,2  38,756
984,171  63,612
984,238  1,9
984,982  2,38
986,171  1,46
991,386  3,581
991,581  3,500
993,10  3,958
993,551  999,1001
993,1125  56,405
995,1  42,1149
995,1  1193,1201
995,10  1,978
995,42  1149,1193
995,386  1,1193
995,595  3,1191
995,1149  42,1201
997,1  976,1201
997,10  1,936
997,956  210,1319
999,1  354,1319
999,3  1,56
999,3  36,55
999,6  202,203
999,36  55,56
999,55  1,36
999,495  2,1056
999,1001  551,993
1001,1  37,1279
1001,6  1,238
1001,9  405,954
1001,958  1,405
1001,999  551,993
1006,4  3,405
1006,376  3,1012
1006,404  3,140
1006,411  3,5
1007,69  2,325
1007,193  491,492
1007,230  2,193
1010,1  86,1043
1010,27  21,377
1010,333  10,58
1011,199  3,25
1011,405  21,964
1012,3  20,21
1012,3  376,1006
1012,474  3,5
1012,859  21,27
1018,101  100,644
1018,1023  101,644
1023,1018  101,644
1030,6  579,584
1038,1  3,1060
1038,63  201,603
1038,73  77,78
1038,1040  1,3
1040,1  3,1062
1040,1038  1,3
1042,20  1,1044
1042,31  56,221
1042,42  65,73
1042,1096  34,207
1043,86  1,1010
1043,86  314,332
1043,333  8,21
1044,1  20,1042
1046,846  1,191
1054,1  100,244
1054,244  88,100
1055,672  36,101
1056,2  495,999
1056,4  1,388
1056,1058  1,4
1058,4  1,497
1058,944  1,950
1058,1056  1,4
1060,3  1,1038
1060,1062  1,3
1062,3  1,1040
1062,1060  1,3
1064,1066  1,73
1066,1064  1,73
1068,4  1,255
1070,1072  1,255
1072,1070  1,255
1074,1076  3,255
1075,4  185,1093
1076,1044  3,225
1080,383  2,4
1082,559  1,57
1086,594  75,141
1087,1109  1,564
1092,182  54,631
1092,184  3,1147
1092,185  3,155
1093,185  4,1075
1096,31  19,204
1096,1042  34,207
1100,37  1,6
1100,44  6,37
1104,37  1,405
1104,960  1,238
1106,31  56,603
1106,1201  56,221
1109,1087  1,564
1113,2  468,1312
1113,1114  2,23
1113,1114  4,186
1113,1114  22,858
1113,1114  24,403
1113,1114  25,468
1113,1114  237,1316
1114,2  468,1313
1114,1113  2,23
1114,1113  4,186
1114,1113  22,858
1114,1113  24,403
1114,1113  25,468
1114,1113  237,1316
1118,65  4,196
1119,4  7,273
1125,1  10,551
1125,10  1,2
1125,386  1,978
1125,993  56,405
1125,1210  1,499
1143,1274  8,556
1147,3  184,1092
1147,184  3,49
1147,569  2,54
1147,1216  3,394
1148,4  65,158
1149,42  1,995
1149,145  1,978
1149,995  42,1201
1149,1193  1,1201
1149,1193  42,995
1151,6  3,371
1151,1152  3,6
1151,1152  577,1192
1152,6  3,372
1152,1151  3,6
1152,1151  577,1192
1155,44  896,899
1155,55  55,165
1155,65  3,46
1155,354  55,57
1155,1279  244,902
1180,2  39,1194
1180,251  6,22
1181,3  184,185
1181,394  3,155
1184,25  32,1196
1185,31  213,1197
1190,55  41,1200
1191,3  595,995
1191,56  31,1201
1191,958  1,238
1192,64  25,1204
1192,577  1151,1152
1193,1  42,1201
1193,1  386,995
1193,2  1,978
1193,8  1,43
1193,42  1,386
1193,58  36,1203
1193,612  1,936
1193,672  39,213
1193,902  35,595
1193,976  1,78
1193,1149  1,1201
1193,1149  42,995
1193,1201  1,995
1194,2  39,1196
1194,39  2,1180
1194,305  2,194
1196,32  25,1184
1196,39  2,1194
1197,213  31,1185
1199,186  54,389
1199,323  140,195
1200,41  55,1190
1201,1  1149,1193
1201,8  1,978
1201,31  56,1191
1201,42  1,1193
1201,42  995,1149
1201,145  1,43
1201,899  8,978
1201,976  1,997
1201,1106  56,221
1201,1193  1,995
1203,35  31,386
1203,36  58,1193
1204,25  64,1192
1204,184  3,185
1209,52  5,343
1209,231  17,18
1209,569  2,68
1210,1  2,938
1210,226  5,942
1210,936  2,8
1210,946  11,65
1210,1125  1,499
1211,940  2,69
1212,220  1,9
1212,910  3,169
1213,6  2,966
1213,594  10,37
1214,72  73,201
1214,222  63,77
1214,278  2,347
1216,1147  3,394
1229,346  75,312
1232,311  69,76
1235,4  76,264
1249,4  6,393
1253,31  55,212
1254,42  65,227
1254,756  12,201
1259,78  3,1260
1260,3  78,1259
1260,200  55,480
1269,313  75,76
1270,2  69,492
1270,1271  488,637
1271,2  69,491
1271,20  487,638
1271,1270  2,69
1273,54  627,628
1274,1143  8,556
1276,1277  9,57
1277,1276  9,57
1278,2  75,192
1279,37  1,1001
1316,237  401,419
1316,237  401,419
1279,1155  244,902
1312,468  2,1113
1312,1313  2,858
1312,1313  4,403
1312,1313  427,468
1313,468  2,1114
1313,1312  2,858
1313,1312  4,403
1313,1312  427,468
1316,237  401,419
1316,237  1113,1114
1316,868  2,4
1319,65  1,56
1319,210  956,997
1319,354  1,999
First edition of this list: May 6, 2003.

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HARMONIC CONJUGATES AMONG TRIANGLE CENTERS X(1) TO X(1320)

HARMONIC CONJUGATES AMONG
TRIANGLE CENTERS X(1) TO X(1320)