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