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.

5th Powers

Euler length

Euler representation

Code

4

19

(3x3,9x2,7x1)

 

5

18

(4,4,3,3,3,3,2,2,2,9x1)

 

6

14

(5,4,4,4,4,3,3,2,2,1,1,1,1,1)

 

7

12

(6,5,5,4,4,3,3,3,1,1,1,1)

 

8

9

(6,6,6,5,5,5,2,2,1)

 

9

11

(8,7,5,5,5,2,2,2,1,1,1)

 

10

9

(8,7,7,7,7,1,1,1,1)

 

11

13

(10,9,4,3,3,3,3,1,1,1,1,1,1)

 

12

6

(11,9,7,6,5,4)

 

13

12

(11,10,8,8,7,7,6,4,4,4,3,1)

 

14

8

(13,11,5,4,4,3,2,2)

 

15

10

(12,12,11,8,8,7,7,4,3,3)

 

16

9

(12,12,12,10,10,10,4,4,2)

2x8

17

8

(15,12,11,10,10,8,7,4)

 

18

10

(17,12,11,7,7,7,5,5,5,2)

 

19

10

(16,16,11,10,10,7,4,2,2,1)

 

20

9

(16,14,14,14,14,2,2,2,2)

2x10

21

10

(18,15,13,13,12,12,11,7,7,3)

 

22

10

(17,17,16,15,13,9,9,6,6,4)

 

23

7

(20,18,15,14,8,7,1)

 

24

6

(22,18,14,12,10,8)

2x12

25

9

(21,19,16,15,15,14,10,3,2)

 

26

7

(22,21,19,11,5,5,3)

 

27

9

(22,22,19,15,15,8,6,5,5)

 

28

8

(22,21,21,17,17,16,3,1)

*2x14

29

9

(25,23,20,14,13,10,10,2,2)

 

30

6

(29,19,16,11,10,5)

 

31

9

(28,25,15,13,12,12,7,6,3)

 

32

6

(28,24,22,17,16,15)

 

33

8

(29,26,21,18,15,6,4,4)

 

34

7

(30,29,13,12,5,4,1)

 

35

7

(32,25,23,19,12,8,6)

 

36

6

(33,27,21,18,15,12)

3x12

37

8

(32,29,27,15,11,6,4,3)

 

38

7

(36,27,18,18,14,10,5)

 

39

8

(35,27,25,24,22,13,10,3)

 

40

7

(35,31,29,14,10,10,1)

 

41

7

(40,25,18,17,11,11,9)

 

42

7

(40,28,25,16,12,7,4)

 

43

9

(34,34,34,21,21,17,16,8,8)

 

44

8

(36,34,33,25,22,19,19,6)

 

45

9

(37,31,31,29,28,25,24,19,1)

 

46

7

(40,36,30,28,16,14,2)

2x23

47

8

(41,38,28,26,22,6,3,3)

 

48

6

(44,36,28,24,20,16)

4x12

49

7

(38,37,37,34,28,18,7)

 

50

8

(41,38,37,33,23,19,7,2)

 

51

7

(44,41,31,30,24,20,11)

 

52

7

(44,42,38,22,10,10,6)

2x26

53

7

(48,36,34,34,34,21,6)

 

54

7

(49,41,35,24,12,10,3)

 

55

7

(50,41,37,22,13,9,3)

 

56

7

(46,41,39,37,37,3,3)

 

57

7

(52,41,38,27,24,21,4)

 

58

7

(52,46,34,28,23,16,9)

 

59

7

(56,38,34,28,27,24,2)

 

60

6

(55,45,35,30,25,20)

5x12*

61

7

(51,50,45,19,9,6,1)

 

62

7

(52,48,45,36,32,19,10)

 

63

7

(56,45,43,39,26,24,10)

 

64

6

(56,48,44,34,32,30)

2x32

65

8

(57,44,44,43,37,26,13,11)

 

66

8

(50,50,47,43,40,38,37,1)

*2x33

67

6

(66,34,31,29,20,7)

 

68

7

(59,52,50,28,28,26,5)

*2x34

69

7

(62,52,48,23,23,7,4)

*3x23

70

7

(64,50,46,38,24,16,12)

2x35

71

7

(69,41,35,32,31,23,20)

 

72

5

(67,47,46,43,19)

 

73

7

(64,57,50,36,30,13,3)

 

74

7

(72,48,25,25,24,17,13)

 

75

7

(63,59,57,36,19,16,5)

 

76

7

(74,48,36,16,10,10,2)

*2x38

77

8

(76,37,34,30,28,27,13,12)

 

78

6

(64,61,58,48,35,22)

 

79

7

(76,52,40,31,31,17,12)

 

80

7

(72,62,46,42,36,31,1)

*2x40

81

7

(76,59,47,23,14,6,6)

 

82

7

(81,42,37,28,18,17,9)

*2x41

83

7

(81,53,28,26,19,19,7)

 

84

6

(77,63,49,42,35,28)

7x12

85

7

(82,53,46,40,19,13,12)

 

86

7

(81,65,31,26,24,24,15)

 

87

7

(85,52,43,23,22,22,20)

 

88

7

(84,59,50,33,31,6,5)

 

89

7

(85,59,46,43,37,25,4)

 

90

6

(87,57,48,33,30,15)

3x30

91

7

(90,49,31,30,7,3,1)

 

92

7

(89,58,51,22,11,9,2)

*4x23

93

7

(86,70,56,29,14,10,8)

 

94

5

(84,79,37,23,21)

 

95

7

(84,73,65,42,41,37,23)

 

96

6

(88,72,56,48,40,32)

8x12

97

7

(95,59,37,35,26,15,10)

 

98

7

(92,75,34,29,24,17,7)

*2x49

99

6

(96,67,20,19,13,4)

 

100

7

(99,52,37,29,27,22,14)

 

101

7

(92,76,58,50,50,40,5)

 

102

7

(101,49,42,40,27,15,8)

*2x51

103

7

(90,76,75,60,15,14,13)

 

104

7

(102,56,51,45,32,26,2)

*4x26

105

7

(102,58,55,55,35,21,19)

*3x35

106

6

(90,89,66,56,39,6)

 

107

5

(100,80,57,43,7)

 

108

6

(99,81,63,54,45,36)

9x12

109

7

(108,57,34,34,13,7,6)

 

110

7

(109,58,32,31,11,10,9)

*2x55

111

7

(105,81,53,41,35,27,9)

 

112

6

(104,77,77,33,21,10)

 

113

6

(110,71,51,39,38,14)

 

114

7

(112,65,48,45,31,19,4)

*2x57

115

7

(104,83,70,67,61,42,18)

*5x23

116

7

(115,61,33,22,15,10,10)

*2x58

117

7

(116,59,41,39,9,2,1)

 

118

7

(115,68,60,50,45,32,18)

*2x59

119

6

(114,85,39,33,31,27)

 

120

6

(116,76,64,44,40,20)

*2x60

 

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