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