轉載來自http://support.sas.com/techsup/technote/ts723_Designs.txt
https://jeffhughlee.blogspot.com/2016/11/blog-post.html
正交試驗設計法（簡稱正交法）是統計數學的重要分支。它是以概率論數理統計、專業技術知識和實踐經驗為基礎!C 充分利用標準化的正交表來安排試驗方案，並對試驗結果進行計算分析，最終達到減少試驗次數，縮短試驗週期，迅速找到優化方案的一種科學計算方法。它是產品設計過程和質量管理的重要工具和方法。
優點
採用正交法安排試驗方案可以解決以下問題：

可以節省大量人力、物力、財力和時間。
能夠明確影響試驗指標各因素的主次順序，即瞭解哪些因素重要，哪些因素次要。
可以迅速找到優化方案，在產品開發設計中，迅速找到優化方案，可以大大縮短產品開發設計週期；在生產過程中很快找到優化方案，可以儘快使生產工藝按最佳工藝條件執行，早日實現高效益。
通過試驗結果分析，可以進一步指明試驗的方向，克服盲目性。

2^3 n=4
000
011
101
110

2^4 4^1 n=8
00000
00112
01011
01103
10013
10101
11002
11110

3^4 n=9
0000
0121
0212
1022
1110
1201
2011
2102
2220

2^11 n=12
00010010111
00100101110
00101110001
01001011100
01011100010
01110001001
10001001011
10010111000
10111000100
11000100101
11100010010
11111111111

2^4 3^1 n=12
00000
00111
00112
01002
01010
01101
10001
10012
10100
11011
11102
11110

2^2 6^1 n=12
000
002
004
011
013
015
101
103
105
110
112
114

2^8 8^1 n=16
000000000
000011114
001100112
001111006
010101011
010110105
011001103
011010017
100101107
100110013
101001015
101010101
110000116
110011002
111100004
111111110

4^5 n=16
00000
01111
02222
03333
10123
11032
12301
13210
20231
21320
22013
23102
30312
31203
32130
33021

3^6 6^1 n=18
0000000
0011221
0102212
0120123
0212104
0221015
1002125
1020214
1111110
1122001
1201203
1210022
2012013
2021102
2101024
2110205
2200111
2222220

2^19 n=20
0000110010011110101
0001100100111101010
0010011110101000011
0011001001111010100
0011110101000011001
0100001100100111101
0100111101010000110
0101000011001001111
0110010011110101000
0111101010000110010
1000011001001111010
1001001111010100001
1001111010100001100
1010000110010011110
1010100001100100111
1100100111101010000
1101010000110010011
1110101000011001001
1111010100001100100
1111111111111111111

2^8 5^1 n=20
000000000
000010111
000110002
000111113
001101014
010001003
011001102
011010014
011100110
011111101
100101104
101000113
101011012
101011100
101100001
110001011
110010104
110100112
110111010
111110003

2^2 10^1 n=20
000
002
004
006
008
011
013
015
017
019
101
103
105
107
109
110
112
114
116
118

2^20 4^1 n=24
000100101100010010110
000100101111101101002
001001011100100101111
001001011111011010003
001011100000101110000
001011100011010001112
010010111001001011101
010010111010110100013
010111000101011100011
010111000110100011103
011100010001110001000
011100010010001110112
100010010101110110102
100010010110001001010
100101110001101000113
100101110010010111001
101110001001000111013
101110001010111000101
110001001000111011012
110001001011000100100
111000100100011101103
111000100111100010011
111111111100000000002
111111111111111111110

2^13 3^1 4^1 n=24
000000000000000
000100101101122
000111011011021
001001011100013
001011100001112
001110110110100
010001110111101
010010111000123
010111000101003
011010001110111
011100010010022
011101101011010
100010010111012
100011101110020
100101110010113
101000111001001
101101000100121
101110001011103
110001001010102
110100011101110
110110100000011
111000100111023
111011010001120
111111111100002

2^12 12^1 n=24
000010010111 6
000100101110 5
000101110001 2
001001011100 4
001011100010 1
00111000100110
010001001011 7
010010111000 3
01011100010011
011000100101 8
011100010010 9
011111111111 0
100000000000 0
100011101101 9
100111011010 8
10100011101111
101101000111 3
101110110100 7
11000111011010
110100011101 1
110110100011 4
111010001110 2
111011010001 5
111101101000 6

2^11 4^1 6^1 n=24
0000000000000
0001001011024
0001110110015
0010010111132
0010111000022
0011101101101
0100011101011
0100101110134
0101110001130
0110100011013
0111000100125
0111011010103
1000100101123
1000111011105
1001011100033
1010001110110
1011010001114
1011100010031
1100010010121
1101000111002
1101101000112
1110001001035
1110110100004
1111111111020

5^6 n=25
000000
012341
024132
031423
043214
104324
111110
123401
130242
142033
203143
210434
222220
234011
241302
302412
314203
321044
333330
340121
401231
413022
420313
432104
444440

3^9 9^1 n=27
0000000000
0001112221
0002221112
0120120123
0121202014
0122011205
0210210216
0211022107
0212101028
1020212108
1021021026
1022100217
1110002222
1111111110
1112220001
1200122015
1201201203
1202010124
2010121204
2011200125
2012012013
2100211027
2101020218
2102102106
2220001111
2221110002
2222222220

2^27 n=28
000000000000000000000000000
000011001111110010110010110
000111111000101111100011000
001001100101101100010111011
001010010110001011111001011
001100011001110011001110011
001101101010010101011001110
010010101001011011010101101
010100000110101111011110100
010101010100010110100101111
010110100011111100101000011
011001011011101000101101100
011010111100010100111110000
011111110111000001000010101
100001101111000111101100001
100011110100111001001100110
100100111010001000110110111
100110011101100100011001101
101010000010110101100111101
101100100101011010101011100
101111010011011110010100000
110000011111011101000011010
110001110010110010011011001
110111000001000001111111010
111000110001100111110000110
111011001000001110001010111
111101001100111001110000001
111110101110100010000101010

2^12 7^1 n=28
0000000000000
0000001111110
0001101001013
0001110110004
0010011010105
0010110111016
0011111001102
0100110011101
0101010100115
0101011101006
0110100100112
0110101010014
0111000011103
0111001100011
1000110100113
1001011010012
1001101110101
1010010001011
1010101101005
1011000010116
1011000101104
1100000111002
1100011001114
1100101000106
1101100011015
1110011110003
1111110000000
1111111111110

2^2 14^1 n=28
00 0
00 2
00 4
00 6
00 8
0010
0012
01 1
01 3
01 5
01 7
01 9
0111
0113
10 1
10 3
10 5
10 7
10 9
1011
1013
11 0
11 2
11 4
11 6
11 8
1110
1112

2^16 16^1 n=32
0000000000000000 0
0000000011111111 8
0000111100001111 4
000011111111000012
0011001100110011 2
001100111100110010
0011110000111100 6
001111001100001114
0101010101010101 1
0101010110101010 9
0101101001011010 5
010110101010010113
0110011001100110 3
011001101001100111
0110100101101001 7
011010011001011015
100101100110100115
1001011010010110 7
100110010110011011
1001100110011001 3
101001010101101013
1010010110100101 5
1010101001010101 9
1010101010101010 1
110000110011110014
1100001111000011 6
110011000011001110
1100110011001100 2
111100000000111112
1111000011110000 4
1111111100000000 8
1111111111111111 0

4^8 8^1 n=32
000000000
001133221
012301232
013232013
020213134
021320315
032112306
033021127
102323103
103210322
110022331
111111110
122130037
123003216
130231205
131302024
202031314
203102135
210330126
211203307
222222220
223311001
230123012
231010233
300312217
301221036
312013025
313120204
320101323
321032102
332200111
333333330

2^35 n=36
00000000000000000000000000000000000
00001001100001011011110001011111011
00001110000010101111111111011000100
00011100000101111000101110100011111
00101010101111010111001010110001010
00110111011001010100111000011001101
00110111100000100111000100110110111
00110111101110011000100111001100010
00111000011110100001110100111111000
01000001111100011110110110110010100
01000110011101001001001001111110110
01001111011110100110100001000011011
01010100101011110101010011101010001
01011101110011001110001100101101000
01100010010010111010010010101101111
01101011101001100000011111000111100
01110000010101000111111111000100011
01111001110110111001001001010000101
10000010111000111101101101100101001
10001011010111010101000110001110101
10010000111010000010001111011011111
10011001001100110110011001101100110
10011110111101101010010010010100001
10100101001111001011010101100001101
10100101010011110010101011110110000
10100101110100101101011010001011010
10111010110011001100110001100010110
11000011100111100000111100111000011
11010001001011101101100010010101110
11010110100110010011111000000111100
11011111010000010001010111110001010
11101100001010011100011100010110011
11101100100100000100100011111101101
11101100111001110011100100001000110
11110010000101111110000101011011000
11111011001000001011101010101010001

2^27 3^1 n=36
0000000000000000000000000000
0000000000111011011110110102
0000000001110110100111011011
0001110110100011100011101102
0001110110110100011101000110
0001110111011010001000111011
0011101100001110110100011101
0011101101010001111011010002
0011101101101101000110100010
0100011100011101101101101002
0100011101000111011010001110
0100011101101000110001110111
0110100010011101100001110110
0110100011000111011101101001
0110100011101000111010001112
0111011010000000000111011012
0111011010111011010000000001
0111011011110110101110110100
1000111010001110110110100012
1000111011010001110100011100
1000111011101101001011010001
1010001110100011101000111010
1010001110110100010011101101
1010001111011010001101000112
1011010000011101101010001111
1011010001000111010001110112
1011010001101000111101101000
1101000110001110111011010000
1101000111010001110110100011
1101000111101101000100011102
1101101000100011101101000111
1101101000110100011000111012
1101101001011010000011101100
1110110100000000001110110101
1110110100111011010111011010
1110110101110110100000000002

2^20 3^2 n=36
0000000000000000000000
0000000000111011011120
0000000001110110101011
0001110110100011101022
0001110110110100010102
0001110111011010000111
0011101100001110110010
0011101101010001111021
0011101101101101001100
0100011100011101100022
0100011101000111010101
0100011101101000111112
0110100010011101101102
0110100011000111010012
0110100011101000110121
0111011010000000001021
0111011010111011010010
0111011011110110101100
1000111010001110111120
1000111011010001110000
1000111011101101001011
1010001110100011100101
1010001110110100011012
1010001111011010000122
1011010000011101100111
1011010001000111011122
1011010001101000110002
1101000110001110111001
1101000111010001111110
1101000111101101000020
1101101000100011100112
1101101000110100010121
1101101001011010001002
1110110100000000001110
1110110100111011011001
1110110101110110100020

2^18 3^1 6^1 n=36
00000000000000000004
00000000001110110125
00000000011101101013
00011101101000111022
00011101101101000100
00011101110110100011
00111011000011101115
00111011010100011124
00111011011011010003
01000111000111011020
01000111010001110101
01000111011010001112
01101000100111011002
01101000110001110110
01101000111010001121
01110110100000000023
01110110101110110114
01110110111101101005
10001110100011101123
10001110110100011105
10001110111011010014
10100011101000111001
10100011101101000112
10100011110110100020
10110100000111011011
10110100010001110122
10110100011010001100
11010001100011101104
11010001110100011113
11010001111011010025
11011010001000111010
11011010001101000121
11011010010110100002
11101101000000000015
11101101001110110103
11101101011101101024

2^16 9^1 n=36
00000010010011001
00000100000101010
00010001111001100
00011110111110111
00100111101110014
00101010101001017
00101100111000103
00111001010100004
00111111000111102
01001001000010113
01001010100100108
01010101011110107
01010111001000018
01011000001111005
01100011011001112
01101101110011015
01110000110100016
01110110100011106
10001011011010006
10001101001101116
10010011100111013
10010111110000115
10011100100000002
10100001110111108
10100010001100105
10110000000010117
10111100011011018
11000000111110012
11000100101011104
11001111110101007
11011010010001114
11100101000000001
11101110010110110
11110110011101003
11111001101101111
11111011101010000

2^13 3^2 6^1 n=36
0000011110010023
0000011110101211
0000011111010105
0001100110111014
0001100111001202
0001100111100120
0011011000101000
0011011001001224
0011011001110112
0101110000000015
0101110000110203
0101110001011121
0110000100001104
0110000100010210
0110000101110022
0110101010101113
0110101011000001
0110101011111225
1000101000000120
1000101000011202
1000101001110014
1010110100111105
1010110101001023
1010110101100211
1011000010010001
1011000010100225
1011000011011113
1100010010101022
1100010011011210
1100010011100104
1101001100111121
1101001101001015
1101001101100203
1111111110000112
1111111110010224
1111111111111000

2^13 6^2 n=36
000000000101105
000010110010051
000100010110032
000110101010144
000111111101045
001000111010123
001011000001021
001101101111052
001110000111110
010001110111114
010010011101122
010101001000011
010101110000000
011001100100143
011010100001034
011011011100150
011100011011003
011111001010135
100011001110013
100011101000102
100101100011120
100111010001133
101000101100030
101000111001015
101011010110004
101100010100141
101101011001154
110000000010155
110001111111131
110010011011040
110100001100024
110110100101053
111001000011042
111110101111101
111110110000112
111111110110025

2^10 3^8 6^1 n=36
0000000000001100114
0000000000112211220
0000000000220022002
0010011111010112122
0010011111121220204
0010011111202001010
0011110001002222003
0011110001110000115
0011110001221111221
0100111010020201011
0100111010101012123
0100111010212120205
0101100111011020020
0101100111122101102
0101100111200212214
0111001100022012215
0111001100100120021
0111001100211201103
1001001011010121213
1001001011121202025
1001001011202010101
1001111100022021124
1001111100100102200
1001111100211210012
1010100110011002201
1010100110122110013
1010100110200221125
1100010101001111005
1100010101112222111
1100010101220000223
1110101001020210100
1110101001101021212
1110101001212102024
1111010010002200222
1111010010110011004
1111010010221122110

2^10 3^1 6^2 n=36
0000011101222
0001011110103
0001100101030
0001101110254
0010000111114
0010011000210
0010110000004
0011010011045
0011100000123
0100000001150
0100010010021
0101000011202
0101100100141
0101111110015
0110011111131
0110101000235
0110101011243
0111111101052
1000001110040
1000110011155
1000110111233
1000111000142
1001110001211
1010101101001
1011000010032
1011001010251
1011001101125
1100000100205
1100101011024
1101001001013
1101011000134
1110010100053
1110100110112
1111010101244
1111110110220
1111111011100

2^9 3^4 6^2 n=36
000000000001144
000000000112200
000000000220022
001001011010113
001001011121235
001001011202051
001111100022014
001111100100130
001111100211252
010011111010102
010011111121224
010011111202040
010100110011031
010100110122153
010100110200215
011110001002223
011110001110045
011110001221101
100010101001155
100010101112211
100010101220033
100111010020241
100111010101003
100111010212125
101100111011020
101100111122142
101100111200204
110101001020250
110101001101012
110101001212134
111001100022005
111001100100121
111001100211243
111010010002232
111010010110054
111010010221110

2^8 6^3 n=36
00000000044
00000000100
00000000222
00010101355
00010101411
00010101533
00111010303
00111010425
00111010541
01001011051
01001011113
01001011235
01100111342
01100111404
01100111520
01111100030
01111100152
01111100214
10011111002
10011111124
10011111240
10100110015
10100110131
10100110253
10101001334
10101001450
10101001512
11001100321
11001100443
11001100505
11010010310
11010010432
11010010554
11110001023
11110001145
11110001201

2^4 3^1 6^3 n=36
00000155
00001112
00002031
00010243
00012302
00012420
00110414
00111335
00112553
01001340
01001504
01010024
01100200
01101013
01102121
01102445
01110532
01111251
10000541
10002234
10011050
10100005
10100323
10101222
10102510
10111144
10111401
11000452
11001433
11010311
11011525
11012103
11012215
11102354
11110130
11112042

2^3 3^9 6^1 n=36
0000001100114
0000112211220
0000220022002
0010002222003
0010110000115
0010221111221
0011010112122
0011121220204
0011202001010
0101020201011
0101101012123
0101212120205
0102011020020
0102122101102
0102200212214
0112022012215
0112100120021
0112211201103
1001010121213
1001121202025
1001202010101
1002022021124
1002100102200
1002211210012
1012011002201
1012122110013
1012200221125
1100001111005
1100112222111
1100220000223
1110002200222
1110110011004
1110221122110
1111020210100
1111101021212
1111212102024

2^3 3^2 6^3 n=36
00000032
00002425
00010314
00012100
00021122
00021333
00101211
00111501
00112044
01000203
01021545
01022051
01100520
01101154
01110452
01112235
01120340
01122413
10000441
10010553
10022250
10101355
10102143
10111430
10120005
10120224
10122512
11001010
11002534
11010115
11011242
11012321
11021404
11102302
11111023
11120131

2^2 3^5 6^2 n=36
000001144
000112200
000220022
001010113
001121235
001202051
002022014
002100130
002211252
010002223
010110045
010221101
011010102
011121224
011202040
012011031
012122153
012200215
100001155
100112211
100220033
101020241
101101003
101212125
102011020
102122142
102200204
110002232
110110054
110221110
111020250
111101012
111212134
112022005
112100121
112211243

2^2 18^1 n=36
00 0
00 2
00 4
00 6
00 8
0010
0012
0014
0016
01 1
01 3
01 5
01 7
01 9
0111
0113
0115
0117
10 1
10 3
10 5
10 7
10 9
1011
1013
1015
1017
11 0
11 2
11 4
11 6
11 8
1110
1112
1114
1116

2^1 3^3 6^3 n=36
0000005
0000415
0002232
0011333
0011520
0021054
0101501
0110423
0112104
0112214
0120352
0120542
0201153
0201240
0212345
0220110
0222021
0222431
1002122
1010141
1010251
1021444
1022300
1022513
1101311
1102043
1102450
1110030
1121135
1121225
1200324
1200534
1211012
1211402
1212555
1220203

3^12 12^1 n=36
000000000000 0
000011221122 1
001100112222 2
001122220011 3
010202122101 4
010220211210 5
012012012012 6
012021100221 7
021212101020 8
021221010102 9
02210120211010
02211002120111
10021201022110
10022110201211
102002121210 9
102020212101 8
111111111111 0
111122002200 1
112200001122 3
112211220000 2
120102211002 7
120120120120 6
121001022021 5
121010200212 4
201201201201 6
201210022110 7
202112100102 5
202121011020 4
210101020212 8
210110202021 9
21100221012011
21102012100210
220011112200 3
220022001111 2
222200110011 1
222222222222 0

3^7 6^3 n=36
0000000000
0011111011
0012210135
0021201253
0100102234
0111020524
0112221440
0122002112
0201220352
0202112423
0220012341
0220121505
1000120143
1011102542
1021212404
1022020221
1100211022
1112001303
1121110330
1122122055
1201000415
1202201531
1210011154
1210222210
2002012550
2002121314
2010202325
2020021432
2101011245
2101222101
2110100451
2120210513
2211022033
2212110202
2221101120
2222200044

2^36 4^1 n=40
0000000000000000000000000000000000001
0000000000000000001111111111111111113
0000101011110011010000101011110011010
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0001010111100110110001010111100110111
0001010111100110111110101000011001003
0010101111001101100010101111001101101
0010101111001101101101010000110010013
0011011000010101110011011000010101110
0011011000010101111100100111101010002
0101011110011011000101011110011011001
0101011110011011001010100001100100113
0101111001101100000101111001101100000
0101111001101100001010000110010011112
0110000101011110010110000101011110010
0110000101011110011001111010100001102
0110110000101011110110110000101011111
0110110000101011111001001111010100003
0111100110110000100111100110110000100
0111100110110000101000011001001111012
1000010101111001100111101010000110012
1000010101111001101000010101111001100
1001101100001010110110010011110101002
1001101100001010111001101100001010110
1010111100110110000101000011001001113
1010111100110110001010111100110110001
1011000010101111000100111101010000112
1011000010101111001011000010101111000
1011110011011000010100001100100111103
1011110011011000011011110011011000011
1100001010111100110011110101000011003
1100001010111100111100001010111100111
1100110110000101010011001001111010102
1100110110000101011100110110000101010
1101100001010111100010011110101000013
1101100001010111101101100001010111101
1110011011000010100001100100111101012
1110011011000010101110011011000010100
1111001101100001010000110010011110103
1111001101100001011111001101100001011

2^25 4^1 5^1 n=40
000000000000000000010001132
000010101111001101011010120
000011001001111010011000011
000101011110011011101001133
000110010011110101111111001
001001111010100001001011010
001010111100110110010110133
001100100111101010000101101
001101100001010111001111122
001111010100001100101110114
010000110010011110100010111
010011110101000011000000004
010100001100100111111100012
010101111001101100010111034
010111100110110000001100023
011000010101111001110100120
011001001111010100100010002
011011000010101111100101030
011110011011000010110011023
011110101000011001111001104
100001010111100110111001124
100001100100111101110011003
100100111101010000100101010
100110110000101011100010022
100111101010000110110100100
101000011001001111001100003
101010000110010011010111014
101011110011011000111100032
101100001010111100000000024
101111001101100001100010131
110000101011110011101110134
110010011110101000001111102
110011011000010101000101121
110101000011001001010110113
110110000101011110001011030
111001101100001010111111021
111010100001100100101001113
111100110110000101011000031
111101010000110010011010100
111111111111111111010001112

2^20 20^1 n=40
00000000000000000000 0
0000010101111001101116
0000101011110011011015
0001010111100110110014
00011011000010101111 4
0010101111001101100013
0010111100110110000111
0011000010101111001119
00110110000101011110 3
00111100110110000101 9
0100001010111100110117
01001101100001010111 5
0101011110011011000012
01011000010101111001 1
0101111001101100001010
0110000101011110011018
01100110110000101011 6
01101100001010111100 2
01110011011000010101 7
01111001101100001010 8
10000110010011110101 8
10001100100111101010 7
10010011110101000011 2
10011001001111010100 6
1001111010100001100118
1010000110010011110110
10100111101010000110 1
1010100001100100111112
10110010011110101000 5
1011110101000011001017
11000011001001111010 9
11001001111010100001 3
1100111101010000110019
1101000011001001111011
1101010000110010011113
11100100111101010000 4
1110101000011001001114
1111010100001100100115
1111101010000110010016
11111111111111111111 0

2^19 4^1 10^1 n=40
000000000000000000033
000010101111001101020
000011001001111010011
000101011110011011136
000110010011110101004
001001111010100001110
001010111100110110035
001100100111101010103
001101100001010111125
001111010100001100019
010000110010011110112
010011110101000011002
010100001100100111114
010101111001101100138
010111100110110000127
011000010101111001121
011001001111010100006
011011000010101111037
011110011011000010028
011110101000011001109
100001010111100110129
100001100100111101008
100100111101010000017
100110110000101011026
100111101010000110101
101000011001001111107
101010000110010011118
101011110011011000134
101100001010111100022
101111001101100001132
110000101011110011039
110010011110101000105
110011011000010101123
110101000011001001015
110110000101011110130
111001101100001010024
111010100001100100116
111100110110000101031
111101010000110010000
111111111111111111013

2^43 n=44
0000010001101011001001010011101111100010111
0000100011010110010010100111011111000101110
0001000110101100100101001110111110001011100
0001011100000100011010110010010100111011111
0001101011001001010011101111100010111000001
0010001101011001001010011101111100010111000
0010010100111011111000101110000010001101011
0010100111011111000101110000010001101011001
0010111000001000110101100100101001110111110
0011010110010010100111011111000101110000010
0011101111100010111000001000110101100100101
0100011010110010010100111011111000101110000
0100101001110111110001011100000100011010110
0100111011111000101110000010001101011001001
0101001110111110001011100000100011010110010
0101100100101001110111110001011100000100011
0101110000010001101011001001010011101111100
0110010010100111011111000101110000010001101
0110101100100101001110111110001011100000100
0111000001000110101100100101001110111110001
0111011111000101110000010001101011001001010
0111110001011100000100011010110010010100111
1000001000110101100100101001110111110001011
1000101110000010001101011001001010011101111
1000110101100100101001110111110001011100000
1001001010011101111100010111000001000110101
1001010011101111100010111000001000110101100
1001110111110001011100000100011010110010010
1010011101111100010111000001000110101100100
1010110010010100111011111000101110000010001
1011001001010011101111100010111000001000110
1011100000100011010110010010100111011111000
1011111000101110000010001101011001001010011
1100000100011010110010010100111011111000101
1100010111000001000110101100100101001110111
1100100101001110111110001011100000100011010
1101011001001010011101111100010111000001000
1101111100010111000001000110101100100101001
1110000010001101011001001010011101111100010
1110001011100000100011010110010010100111011
1110111110001011100000100011010110010010100
1111000101110000010001101011001001010011101
1111100010111000001000110101100100101001110
1111111111111111111111111111111111111111111

2^16 11^1 n=44
0000010101010000 0
0000110101011101 1
0001000010110110 2
0001101010101001 1
0001110000100010 8
0010000100111011 9
0010010011001010 7
0010111000110011 4
0010111011001000 3
0011000110000000 5
0011111110010111 6
0100001111111011 8
010001100000011010
0100100111100111 0
0101001011101100 4
0101011110010101 7
0101101001010001 5
0110101100110100 3
0110101101001110 2
0111000001001011 6
011101000111110110
0111110110101100 9
1000001011000101 9
1000011100101110 5
1000100001100100 6
100010111000101110
1001000000011111 3
1001110111011110 4
1010011011110001 2
1011001101011100 8
1011011000101101 0
101110011111000010
1011101101100111 7
1100011110111000 6
1100100000111000 7
1101010111100011 3
1101110100001001 2
1101111001010010 9
1110000010010110 1
1110000100000001 4
1110110010000101 8
1110110011111111 5
1111011101100010 1
1111101010011010 0

2^2 22^1 n=44
00 0
00 2
00 4
00 6
00 8
0010
0012
0014
0016
0018
0020
01 1
01 3
01 5
01 7
01 9
0111
0113
0115
0117
0119
0121
10 1
10 3
10 5
10 7
10 9
1011
1013
1015
1017
1019
1021
11 0
11 2
11 4
11 6
11 8
1110
1112
1114
1116
1118
1120

3^9 15^1 n=45
000000000 0
000210120 1
001121021 2
001202211 3
002002121 4
010022012 5
010122220 6
011220112 7
012101210 8
012211000 9
02020110210
02101102211
02111220212
02202020113
02211011114
10010101213
10022122214
10101221010
10212210011
10222001012
110110202 4
111021201 1
111111111 0
112010022 3
112202102 2
120022111 9
120212021 8
121100120 5
121200001 6
122001220 7
200112001 7
201020102 8
201100222 9
202011112 6
202211201 5
21000112112
21020021111
21100200014
21121212013
21212002110
220010210 2
220121100 3
221221010 4
222102012 1
222222222 0

2^40 8^1 n=48
00010010110001001011000100101100010010110
00010010110001001011111011010011101101004
00010010111110110100000100101111101101002
00010010111110110100111011010000010010116
00100101110010010111001001011100100101111
00100101110010010111110110100011011010005
00100101111101101000001001011111011010003
00100101111101101000110110100000100101117
00101110000010111000001011100000101110000
00101110000010111000110100011111010001114
00101110001101000111001011100011010001112
00101110001101000111110100011100101110006
01001011100100101110010010111001001011101
01001011100100101110101101000110110100015
01001011101011010001010010111010110100013
01001011101011010001101101000101001011107
01011100010101110001010111000101011100011
01011100010101110001101000111010100011105
01011100011010001110010111000110100011103
01011100011010001110101000111001011100017
01110001000111000100011100010001110001000
01110001000111000100100011101110001110114
01110001001000111011011100010010001110112
01110001001000111011100011101101110001006
10001001010111011010011101101010001001016
10001001010111011010100010010101110110102
10001001011000100101011101101001110110104
10001001011000100101100010010110001001010
10010111000110100011011010001110010111007
10010111000110100011100101110001101000113
10010111001001011100011010001101101000115
10010111001001011100100101110010010111001
10111000100100011101010001110110111000107
10111000100100011101101110001001000111013
10111000101011100010010001110101000111015
10111000101011100010101110001010111000101
11000100100011101101001110110111000100106
11000100100011101101110001001000111011012
11000100101100010010001110110100111011014
11000100101100010010110001001011000100100
11100010010001110110000111011011100010017
11100010010001110110111000100100011101103
11100010011110001001000111011000011101105
11100010011110001001111000100111100010011
11111111110000000000000000000011111111116
11111111110000000000111111111100000000002
11111111111111111111000000000000000000004
11111111111111111111111111111111111111110

2^33 3^1 8^1 n=48
00000000000000000000111111111100006
00000000001111111111000000000000002
00010010110001001011000100101101120
00010010111110110100111011010001124
00011101100001110110111000100111027
00011101101110001001000111011011023
00100101110010010111001001011100011
00100101111101101000110110100000015
00101110000010111000001011100001110
00101110001101000111110100011101114
00111011010011101101110001001010106
00111011011100010010001110110110102
01000111010100011101101110001011107
01000111011011100010010001110111103
01001011100100101110010010111000121
01001011101011010001101101000100125
01011100010101110001010111000101001
01011100011010001110101000111001005
01101000110110100011100101110010117
01101000111001011100011010001110113
01110001000111000100011100010010020
01110001001000111011100011101110024
01110110100111011010100010010111016
01110110101000100101011101101011012
10001001010111011010011101101011014
10001001011000100101100010010111010
10001110110111000100100011101110022
10001110111000111011011100010010026
10010111000110100011011010001110115
10010111001001011100100101110010111
10100011100101110001101000111001003
10100011101010001110010111000101007
10110100010100101110101101000100123
10110100011011010001010010111000127
10111000100100011101010001110111105
10111000101011100010101110001011101
11000100100011101101001110110110104
11000100101100010010110001001010100
11010001110010111000110100011101112
11010001111101000111001011100001116
11011010000010010111110110100000013
11011010001101101000001001011100017
11100010010001110110000111011011025
11100010011110001001111000100111021
11101101000001001011111011010001122
11101101001110110100000100101101126
11111111110000000000000000000000004
11111111111111111111111111111100000

2^31 6^1 8^1 n=48
000000000000000000001111111111006
000000000011111111110000000000002
000100101100010010110001001011040
000100101111101101001110110100044
000111011000011101101110001001057
000111011011100010010001110110053
001001011100100101110010010111121
001001011111011010001101101000125
001011100000101110000010111000020
001011100011010001111101000111024
001110110100111011011100010010116
001110110111000100100011101101112
010001110101000111011011100010017
010001110110111000100100011101013
010010111001001011100100101110141
010010111010110100011011010001145
010111000101011100010101110001101
010111000110100011101010001110105
011010001101101000111001011100037
011010001110010111000110100011033
011100010001110001000111000100150
011100010010001110111000111011154
011101101001110110101000100101136
011101101010001001010111011010132
100010010101110110100111011010134
100010010110001001011000100101130
100011101101110001001000111011152
100011101110001110110111000100156
100101110001101000110110100011035
100101110010010111001001011100031
101000111001011100011010001110103
101000111010100011100101110001107
101101000101001011101011010001143
101101000110110100010100101110147
101110001001000111010100011101015
101110001010111000101011100010011
110001001000111011010011101101114
110001001011000100101100010010110
110100011100101110001101000111022
110100011111010001110010111000026
110110100000100101111101101000123
110110100011011010000010010111127
111000100100011101100001110110055
111000100111100010011110001001051
111011010000010010111110110100042
111011010011101101000001001011046
111111111100000000000000000000004
111111111111111111111111111111000

2^24 24^1 n=48
000010010111000010010111 6
00001001011111110110100018
000100101110000100101110 5
00010010111011101101000117
000101110001000101110001 2
00010111000111101000111014
001001011100001001011100 4
00100101110011011010001116
001011100010001011100010 1
00101110001011010001110113
00111000100100111000100110
00111000100111000111011022
010001001011010001001011 7
01000100101110111011010019
010010111000010010111000 3
01001011100010110100011115
01011100010001011100010011
01011100010010100011101123
011000100101011000100101 8
01100010010110011101101020
011100010010011100010010 9
01110001001010001110110121
011111111111011111111111 0
01111111111110000000000012
10000000000001111111111112
100000000000100000000000 0
10001110110101110001001021
100011101101100011101101 9
10011101101001100010010120
100111011010100111011010 8
10100011101101011100010023
10100011101110100011101111
10110100011101001011100015
101101000111101101000111 3
10111011010001000100101119
101110110100101110110100 7
11000111011000111000100122
11000111011011000111011010
11010001110100101110001013
110100011101110100011101 1
11011010001100100101110016
110110100011110110100011 4
11101000111000010111000114
111010001110111010001110 2
11101101000100010010111017
111011010001111011010001 5
11110110100000001001011118
111101101000111101101000 6

4^12 12^1 n=48
000000000000 0
000222333111 1
000333111222 2
013021123320 3
013102231032 4
013210312203 5
021013032312 6
021130203123 7
021301320231 8
032123210301 9
03223102101310
03231210213011
102013320123 4
102130032231 3
102301203312 5
111111111111 0
111222000333 2
111333222000 1
123032301210 9
12320301302111
12332013010210
130021312032 7
130102123203 6
130210231320 8
203123102013 8
203231210130 6
203312021301 7
21001320323110
21013032031211
210301032123 9
222000111333 1
222111333000 2
222222222222 0
231032130021 5
231203301102 3
231320013210 4
30102123120311
30110231232010
301210123032 9
312032013102 8
312203130210 7
312320301021 6
320123021130 5
320231102301 4
320312210013 3
333000222111 2
333111000222 1
333333333333 0

7^8 n=49
00000000
01234561
02461352
03625143
04152634
05316425
06543216
10654326
11111110
12345601
13502462
14036253
15263044
16420535
20531645
21065436
22222220
23456011
24613502
25140363
26304154
30415264
31642055
32106546
33333330
34560121
35024612
36251403
40362513
41526304
42053165
43210656
44444440
45601231
46135022
50246132
51403623
52630414
53164205
54321066
55555550
56012341
60123451
61350242
62514033
63041524
64205315
65432106
66666660

5^10 10^1 n=50
00000000000
00131224347
01234401231
01310243428
02044323119
02413130242
03142142033
03223014415
04321432104
04402311326
10013422436
10432043214
11111111110
11242330407
12340012341
12421304038
13024241302
13100434229
14203203143
14334120025
20314314203
20440231135
21043104324
21124033046
22222222220
22303441017
23032410148
23401123401
24130302412
24211040339
30241413022
30322101449
31001342245
31420420313
32104210434
32230144106
33333333330
33414002127
34012234011
34143021208
40123340121
40204132318
41302024132
41433212009
42031031423
42112403305
43210321044
43341200216
44020113237
44444444440

2^51 n=52
000000000000000000000000000000000000000000000000000
000000010100111111011011001001011101110011001010101
000001000101110100001001010111101001011110111111010
000010101011111011111000010101011111001100000100011
000101101000100010110100011110100101110111010010111
000110001111000001101010101111000011101111101010100
000111110110111100100000111011001110111000010001100
001000110111000101110101001011110101001101110001001
001001111001011011101100001000101010111011101001010
001010000000101101101111101110111010010101010100110
001101011010111011000011100111100100000100101001111
001110111110000010001111010110011011010010011001001
001111010101010000111010110000010100110101111100011
010001011011001001011101111000000111010100011111100
010001100010010111001110110100011000101101110011101
010011001001110110110110001011010010000010111101101
010100010110011010110011001100110010101110010111010
010110101100111100001101100000100111100111100101001
010111110001001111010010100110101101001011011100000
011001100111000111100011110001100011110010000100111
011010001010001100110101100101001100111010111010011
011011111000110000010011111101110011011001100010000
011100100111110001010100000110111110110000101110100
011100101101101110111001110010010000001001001011110
011110010011100000001110011001101100001011000111111
011111011100001111000100011011011001100100100110010
100000011111101110011110111110100000111000100100001
100010001101010011010111110011101110100001010011010
100011111010010100101111000010110101101000001110110
100100110010100110110110100001001011010101101111010
100111000011001100010001011100111011100001101001111
100111100100000011011101101101010100011010100101110
101000100000101001000010111010010111101010111111011
101010111100010101110000111100101000000110001111101
101011110101101010000101000101000010101101011110101
101100010001011110101100110101110111000010110010100
101101001011010110000001101010011110011111000110001
101101001110111001110111010000001001001011110100100
101111101011101101011010000001110000110110010011000
110000111001001000100011010111011100110111100101100
110010011110100111000000010000110110011111111000110
110011010111111001100100100110010001010011000011011
110100101101011000000110101001111001011100011000111
110101010000100001111101110011111010101110001000001
110101111101100101101011001100001110000000110010011
110110100010011011101001011011100000010001111110001
111001001110100010101000101101111101100001011101000
111001100110011100011110011111000110000111001000010
111010110011110010011001101010001001100110110000110
111011000100001010111010000010101111011100100011101
111100011000010101011000000111000011111001010101111
111110000001110111100111011100000101111100001001000

2^17 13^1 n=52
00000001101011010 0
00000110111100101 0
00010010000010000 9
00011001000101001 1
00011101111110111 4
00011111010011110 6
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3^20 6^1 9^1 n=54
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2^59 n=60
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2^30 3^1 n=60
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