Note : This table is only ever extended to an equal point with the similar table for 7th powers. It could otherwise be extended much further.
4th Powers |
Euler length |
Euler representation |
Code |
3 |
6 |
(2,2,2,2,2,1) |
|
4 |
16 |
(16x2) |
|
5 |
5 |
(4,4,3,2,2) |
|
6 |
6 |
(4,4,4,4,4,2) |
2x3 |
7 |
6 |
(6,4,4,4,4,3) |
|
8 |
16 |
(16x4) |
|
9 |
6 |
(6,6,6,6,6,3) |
3x3* |
10 |
5 |
(8,8,6,4,4) |
2x5 |
11 |
7 |
(10,8,4,4,2,2,1) |
|
12 |
6 |
(8,8,8,8,8,4) |
4x3 |
13 |
6 |
(12,8,7,6,2,2) |
|
14 |
6 |
(12,8,8,8,8,6) |
2x7 |
15 |
5 |
(12,12,9,6,6) |
3x5 |
16 |
16 |
(16x8) |
|
17 |
6 |
(14,14,8,6,6,1) |
|
18 |
6 |
(12,12,12,12,12,6) |
6x3 |
19 |
6 |
(18,12,8,4,4,1) |
|
20 |
5 |
(16,16,12,8,8) |
4x5 |
21 |
6 |
(14,14,14,14,14,7) |
7x3* |
22 |
7 |
(20,16,8,8,4,4,2) |
2x11 |
23 |
6 |
(18,18,16,8,4,1) |
|
24 |
6 |
(16,16,16,16,16,8) |
8x3 |
25 |
5 |
(20,20,15,10,10) |
5x5 |
26 |
6 |
(24,16,14,12,4,4) |
2x13 |
27 |
6 |
(18,18,18,18,18,9) |
9x3 |
28 |
6 |
(24,16,16,16,16,12) |
4x7 |
29 |
6 |
(22,22,18,18,13,4) |
|
30 |
5 |
(24,24,18,12,12) |
6x5 |
31 |
5 |
(30,17,10,10,10) |
|
32 |
16 |
(16x16) |
|
33 |
6 |
(22,22,22,22,22,11) |
11x3 |
34 |
6 |
(28,28,16,12,12,2) |
|
35 |
5 |
(28,26,22,21,4) |
*7x5* |
36 |
6 |
(24,24,24,24,24,12) |
12x3 |
37 |
6 |
(32,29,14,14,12,12) |
* |
38 |
6 |
(36,24,16,8,8,2) |
2x19 |
39 |
6 |
(26,26,26,26,26,13) |
13x3* |
40 |
5 |
(32,32,24,16,16) |
8x5 |
41 |
6 |
(32,27,26,26,24,2) |
|
42 |
6 |
(28,28,28,28,28,14) |
14x3 |
43 |
6 |
(32,28,28,28,24,21) |
|
44 |
7 |
(40,32,16,16,8,8,4) |
4x11 |
45 |
5 |
(36,36,27,18,18) |
9x5 |
46 |
6 |
(36,36,32,16,8,2) |
2x23 |
47 |
6 |
(34,34,34,27,22,18) |
|
48 |
6 |
(32,32,32,32,32,16) |
16x3 |
49 |
6 |
(38,38,31,24,22,18) |
*7x7 |
50 |
5 |
(40,40,30,20,20) |
10x5 |
51 |
6 |
(34,34,34,34,34,17) |
17x3 |
52 |
6 |
(48,32,28,24,8,8) |
4x13 |
53 |
6 |
(44,41,28,24,24,14) |
|
54 |
6 |
(36,36,36,36,36,18) |
18x3 |
55 |
5 |
(44,44,33,22,22) |
11x5 |
56 |
6 |
(48,32,32,32,32,24) |
8x7 |
57 |
6 |
(38,38,38,38,38,19) |
19x3 |
58 |
6 |
(44,44,36,36,26,8) |
2x29 |
59 |
6 |
(46,42,42,34,16,11) |
|
60 |
5 |
(48,48,36,24,24) |
12x5 |
61 |
6 |
(44,42,42,41,32,2) |
|
62 |
5 |
(60,34,20,20,20) |
2x31 |
63 |
6 |
(42,42,42,42,42,21) |
21x3* |
64 |
16 |
(16x32) |
|
65 |
5 |
(52,46,44,39,2) |
*13x5 |
66 |
6 |
(44,44,44,44,44,22) |
22x3 |
67 |
6 |
(52,52,38,36,36,17) |
|
68 |
6 |
(56,56,32,24,24,4) |
4x17 |
69 |
6 |
(68,32,22,7,4,4) |
*3x23* |
70 |
5 |
(56,56,42,28,28) |
14x5 |
71 |
6 |
(67,44,28,24,24,22) |
|
72 |
6 |
(64,56,16,16,16,16) |
*24x3 |
73 |
6 |
(69,42,34,32,22,4) |
|
74 |
6 |
(72,42,4,4,4,4) |
*2x37 |
75 |
5 |
(70,45,40,30,20) |
15x5 |
76 |
6 |
(72,48,32,16,16,4) |
4x19 |
77 |
6 |
(71,48,42,32,22,14) |
*11x7 |
78 |
6 |
(72,48,42,36,12,12) |
*26x3 |
79 |
6 |
(74,51,38,18,8,8) |
|
80 |
5 |
(64,64,48,32,32) |
16x5 |
81 |
6 |
(63,72,18,18,18,18) |
|
82 |
6 |
(64,54,52,52,48,4) |
2x41 |
83 |
6 |
(79,54,6,6,6,6) |
|
84 |
6 |
(56,56,56,56,56,28) |
28x3 |
85 |
5 |
(84,38,22,16,13) |
*17x5 |
86 |
6 |
(64,56,56,56,48,42) |
2x43 |
87 |
6 |
(86,39,18,18,16,2) |
*29x3 |
88 |
7 |
(80,64,32,32,16,16,8) |
8x11 |
89 |
5 |
(80,60,52,35,10) |
|
90 |
5 |
(72,72,54,36,36) |
18x5 |
91 |
6 |
(86,54,43,36,22,14) |
*13x7 |
92 |
6 |
(72,72,64,32,16,4) |
4x23 |
93 |
5 |
(90,51,30,30,30) |
|
94 |
6 |
(68,68,68,54,44,36) |
2x47 |
95 |
5 |
(78,67,66,48,6) |
*19x5 |
96 |
6 |
(64,64,64,64,64,32) |
32x3 |
97 |
6 |
(96,36,33,24,24,16) |
|
98 |
6 |
(84,56,56,56,56,42) |
14x7 |
99 |
6 |
(98,44,16,9,6,6) |
*33x3 |
100 |
5 |
(80,80,60,40,40) |
20x5 |
101 |
6 |
(93,68,52,26,18,4) |
|
102 |
6 |
(68,68,68,68,68,34) |
34x3 |
103 |
5 |
(100,50,50,15,4) |
|
104 |
6 |
(96,64,56,48,16,16) |
8x13 |
105 |
5 |
(103,54,26,24,6) |
*21x5 |
106 |
6 |
(88,82,56,48,48,28) |
2x53 |
107 |
6 |
(97,68,66,38,18,8) |
|
108 |
6 |
(72,72,72,72,72,36) |
36x3 |
109 |
6 |
(101,76,36,34,28,10) |
|
110 |
5 |
(88,88,66,44,44) |
22x5 |
111 |
6 |
(74,74,74,74,74,37) |
37x3 |
112 |
6 |
(96,64,64,64,64,48) |
16x7 |
113 |
6 |
(84,72,72,72,72,49) |
|
114 |
6 |
(76,76,76,76,76,38) |
38x3 |
115 |
5 |
(92,92,69,46,46) |
23x5 |
116 |
6 |
(88,88,72,72,52,16) |
4x29 |
117 |
6 |
(78,78,78,78,78,39) |
39x3 |
118 |
6 |
(92,84,84,68,32,22) |
2x59 |
119 |
6 |
(94,88,74,69,56,6) |
|
120 |
5 |
(96,96,72,48,48) |
24x5 |