8th Powers Euler length Euler representation 4 121 (9x3,25x2,87x1) 5 80 (4,49x3,14x2,16x1) 6 55 (5,5,5,5,4,3,3,3,3,3,3,3,22x2,21x1) 7 40 (14x5,4,4,4,15x3,2,2,2,2,1,1,1,1) 8 44 (7,28x5,4,3,11x2,1,1) 9 34 (8,7,7,7,7,8x5,13x3,8x1) 10 40 (8,8,8,7,7,7,7,7,7,7,7,6,6,4,19x3,2,2,1,1,1,1,1) 11 40 (10,9,8,8,7,7,7,7,7,6,18x5,4,4,4,3,3,3,3,1,1,1,1,1) 12 34 (11,11,5,5,5,4,3,3,3,3,2,23x1) 13 38 (11,10,10,8x9,8,6x7,6,10x5,7x3,2,1) 14 36 (12,11,11,11,11,10,9,8,7,7,7,7,14x5,3,3,3,2,6x1) 15 36 (13,13,12,11,11,8,9x7,6,6x5,7x3,7x1) 16 34 (13,12,13x11,9,9,9,9,9,8x7,5,5,5,4,1,1) 17 17 (16,15,7x8,7x4,2) 18 34 (15,15,6x13,4x11,10,7x7,5x5,8x3,2) 19 29 (18,14,14,13,4x12,3x10,10x8,5x6,4,4,4) 20 34 (4x15,14,15x13,12,5x11,9,9,9,7,3,1,1,1) 21 27 (18,4x16,6x14,12,11,10,8,4x6,7x4,2) 22 33 (19,4x17,3x15,2x13,3x11,8,7,9x5,2x3,7x1) 23 29 (22,2x18,13x10,9,3x8,6,2x4,6x2) 24 33 (6x19,15,6x13,12,11,9,5x7,5,9x3,2x1) 25 32 (3x20,5x18,3x16,5x14,4x10,7,11x6) 26 33 (25,21,2x17,15,13,4x11,5x9,2x7,5x5,4x3,2,6x1) 27 25 (24,6x20,4x16,3x12,2x10,5x8,5,2x4,2) 28 32 (23,6x21,2x19,5x17,15,13,11,2x9,5x7,7x3,1) 29 19 (28,22,20,20,16,16,16,14,14,12,10,6,4,4,4,4,4,4,3) 30 32 (27,25,23,21,21,3x19,17,3x15,13,3x11,9,7,8x5,3,5x1) 31 27 (30,3x22,6x16,4x14,12,8,8,8,6,6,6,6,6,6,4,2,1) 32 32 (29,29,21,19,19,3x17,15,4x13,11,5x9,8x7,3,3,3,1,1) 33 21 (31,28,5x20,18,8x16,14,12,12,4,4) 34 17 *2 x 17 35 28 (32,29,26,26,24,24,18,14,18x10,8,4) 36 32 (35,27,23,23,21,21,19,19,17,5x15,3x11,3x9,7,5x5,3x3,3x1) 37 29 (34,30,30,27,24,18,7x14,6x10,8,8x6,2) 38 29 *2 x 19 39 19 (36,32,30,28,26,24,20,20,18,18,3x14,12,12,8,8,8,7) 40 32 (39,27,27,25,23,10x21,19,17,15,13,11,9x7,3,3,1) 41 19 (38,32,32,30,26,5x24,18,16,16,14,14,10,10,9,6) 42 27 *2 x 21 43 18 (40,34,3x32,21,18,3x12,10,8,8,6,6,6,4,4) 44 32 (43,35,21,21,12x15,13,13,9,9,5x7,5,5,5,1,1,1,1) 45 18 (40,36,3x34,32,28,28,26,19,14,12,10,10,6,4,2,2) 46 29 *2 x 23 47 32 (2x42,2x34,3x26,2x22,20,9x18,17,4x14,5x10,2x6,2) 48 32 or 33 49 22 (4x40,36,3x32,28,28,24,20,17,12,10,8x6,4) 50 32 *2 x 25 51 17 *3 x 17 52 32 or 33 53 13 (48,46,43,30,30,28,26,26,24,24,18,16,14) 54 25 *2 x 27 55 18 (48,46,41,40,40,40,36,36,34,26,24,24,16,8,8,4,2,2) 56 32 *2 x 28 57 17 (56,39,38,38,26,26,22,22,22,22,20,14,8,6,4,4,2) 58 29 *2 x 29 59 17 (52,52,44,44,36,36,36,32,32,28,28,27,22,22,16,10,4) 60 32 *2 x 30 61 16 (58,52,38,36,34,29,28,24,24,24,18,16,16,14,12,8) 62 27 *2 x 31 63 18 (54,50,50,50,50,40,40,36,34,33,26,22,22,22,22,22,10,4) 64 32 *2 x 32 65 12 (63,52,44,34,30,26,24,24,24,10,8,8) 66 21 *2 x 33 67 17 (61,54,54,52,44,30,28,28,26,26,26,26,14,6,2,2,2) 68 17 *4 x 17 69 22 (62,59,54,52,46,34,30,26,22,22,5x18,14,14,6,6,6,2,2) 70 28 *2 x 35 71 13 (66,60,54,44,44,40,39,38,32,6,6,2,2) 72 32 *2 x 36 73 16 (68,58,56,52,46,46,44,41,38,38,26,18,18,14,12,4) 74 29 *2 x 37 75 15 (70,60,60,48,46,46,46,28,20,11,10,8,4,4,2) 76 29 *4 x 19 77 15 (74,64,52,30,30,26,22,20,14,14,14,13,10,4,2) 78 19 *2 x 39 79 29 (78,54,49,46,42,4x34,6x30,3x26,18,8x14,10,10) 80 32 *2 x 40 81 15 (76,60,60,60,56,56,47,44,34,34,32,22,22,20,8) 82 19 *2 x 41 83 16 (74,72,62,60,58,51,50,46,40,34,34,30,30,26,16,6) 84 27 *4 x 21 85 15 (82,66,64,48,38,38,34,28,26,12,12,12,11,8,2) 86 18 *2 x 43 87 15 (82,76,54,50,40,40,28,22,20,18,9,8,8,8,8) 88 32 *2 x 44 89 13 (80,80,66,58,54,39,38,36,36,36,32,32,28) 90 18 *2 x 45 91 13 (90,56,56,54,52,52,44,42,30,27,26,26,24) 92 29 *4 x 23 93 15 (88,70,70,66,64,61,40,36,36,30,28,22,16,12,12) 94 32 *2 x 47 95 16 (86,84,70,65,58,56,50,34,30,30,30,28,24,22,14,6) 96 97 14 (88,84,68,66,66,62,60,60,48,31,30,28,28,28) 98 22 *2 x 49 99 13 (92,84,70,70,61,58,58,42,36,36,28,14,14) 100 32 *4 x 25 101 17 (91,86,80,74,62,58,54,50,50,46,42,42,42,42,30,30,20) 102 17 *6 x 17 103 13 (92,86,84,78,60,60,57,54,52,52,52,44,28) 104 105 15 (98,90,73,68,66,64,50,42,40,34,20,14,14,10,4) 106 13 *2 x 53 107 13 (96,92,82,78,78,50,43,30,12,12,8,4,2) 108 25 *4 x 27 109 14 (108,72,64,62,58,51,44,38,30,30,30,22,22,6) 110 18 *2 x 55 111 112 113 114 115 116 117 118 119 120