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.

6th Powers

Euler length

Euler representation

Code

4

15

(5x3,7x2,3x1)

 

5

29

(4,4,10x3,2,2,15x1)

 

6

22

(5,5,4,4,4,3,3,3,3,2,2,2,10x1)

 

7

21

(6,6,5,4,4,8x2,8x1)

 

8

15

(5x6,7x4,3x2)

2x4

9

19

(7,7,7,7,5,5,4,4,4,4,4,4,4,3,2,2,2,1,1)

 

10

15

(9,8,6,6,6,6,5,4,2,1,1,1,1,1,1)

 

11

17

(9,9,8,7,7,6,6,6,6,5,4,4,3,2,1,1,1)

 

12

15

(5x9,7x6,3x3)

3x4

13

16

(11,9,9,9,9,8,8,8,7,5,4,4,3,3,2,2)

 

14

14

(13,10,10,9,6,6,6,5,5,2,1,1,1,1)

 

15

15

(12,12,11,11,11,6,5,5,5,4,4,3,3,3,2)

 

16

13

(14,14,9,9,8,7,7,7,5,5,4,4,3)

 

17

12

(16,13,10,9,9,7,7,7,7,2,1,1)

 

18

11

(17,14,10,9,9,7,7,5,5,5,2)

 

19

11

(17,13,13,13,13,12,8,7,7,7,1)

 

20

13

(19,14,14,10,8,8,7,7,7,5,3,3,3)

 

21

14

(16,16,15,15,15,15,13,11,6,4,2,1,1,1)

 

22

12

(18,17,17,14,14,14,13,11,11,7,5,3)

 

23

13

(21,17,15,14,14,13,13,10,9,8,7,7,1)

 

24

13

(21,19,17,16,14,14,11,8,7,7,6,3,3)

 

25

12

(21,20,17,17,17,16,13,7,7,7,4,3)

 

26

12

(23,21,17,17,16,14,11,8,8,7,7,3)

 

27

12

(26,17,17,15,14,14,11,11,7,7,3,3)

 

28

12

(24,23,21,17,14,14,14,13,11,11,11,7)

 

29

12

(26,25,17,14,14,11,9,7,7,5,5,3)

 

30

11

(27,25,19,19,12,7,7,7,4,4,1)

 

31

11

(26,25,23,21,19,17,17,13,8,7,7)

 

32

11

(29,25,20,20,18,17,17,17,7,7,7)

 

33

11

(26,25,25,25,21,21,20,13,13,13,7)

 

34

11

(31,25,22,21,20,19,19,17,17,14,7)

 

35

13

(31,27,27,23,16,14,12,7,7,7,7,7,4)

 

36

11

(31,31,25,22,17,16,12,7,7,7,3)

*2x18

37

11

(35,26,25,23,15,13,13,13,8,7,7)

 

38

11

(31,31,29,27,25,14,11,7,7,4,4)

*2x19

39

10

(32,32,30,26,26,16,14,7,4,2)

 

40

11

(35,33,25,25,25,22,20,19,14,11,7)

 

41

11

(35,34,29,29,21,19,17,16,11,11,7)

 

42

11

(36,35,30,29,23,11,7,7,7,2,1)

 

43

11

(35,35,34,29,25,23,19,19,15,14,5)

 

44

11

(35,35,34,31,31,25,14,12,11,11,11)

 

45

10

(38,34,34,34,28,22,18,16,14,13)

 

46

11

(38,35,33,31,31,29,28,28,5,1,1)

 

47

11

(41,40,31,31,23,14,11,9,7,7,1)

 

48

11

(41,39,35,28,28,27,26,25,23,19,17)

 

49

11

(41,35,35,35,35,31,29,25,15,8,2)

 

50

11

(43,37,37,37,31,29,22,14,12,7,7)

 

51

11

(49,38,25,25,25,15,7,7,5,3,2)

 

52

11

(49,41,31,24,20,17,14,13,7,1,1)

 

53

11

(51,35,35,29,23,19,19,19,14,5,2)

 

54

9

(49,41,37,37,31,22,19,17,1)

 

55

11

(51,37,37,35,35,32,23,19,14,5,1)

 

56

10

(55,37,26,25,17,14,13,13,7,7)

 

57

11

(56,34,32,30,20,18,14,10,10,8,7)

*3x19

58

11

(57,35,35,20,17,14,5,5,5,2,1)

 

59

11

(53,47,41,37,35,19,16,15,14,7,1)

 

60

9

(55,47,44,29,23,23,19,11,7)

 

61

10

(53,49,49,32,29,13,5,5,5,1)

 

62

11

(61,35,35,31,29,22,14,6,5,5,5)

*2x31

63

11

(61,43,35,31,31,30,24,23,7,7,7)

 

64

11

(63,37,35,31,28,25,22,17,17,16,5)

*2x32

65

11

(62,49,35,35,31,23,19,15,13,11,8)

 

66

10

(65,39,38,25,25,23,20,13,7,7)

 

67

11

(64,44,44,42,29,28,28,22,20,10,8)

 

68

10

(64,55,35,28,19,19,17,17,13,5)

 

69

10

(65,55,37,35,25,23,15,14,11,11)

 

70

11

(68,50,35,33,16,13,13,7,7,7,1)

 

71

10

(65,59,41,37,35,29,28,25,17,11)

 

72

9

(71,40,37,37,35,23,5,5,1)

 

73

10

(64,64,44,41,32,28,26,16,14,2)

 

74

11

(71,55,39,35,35,28,26,25,23,19,8)

*2x37

75

10

(71,55,53,16,15,13,7,7,1,1)

 

76

10

(67,62,59,35,31,28,17,17,5,5)

 

77

11

(76,50,19,16,14,14,14,14,12,8,8)

 

78

10

(76,56,31,29,23,17,11,11,9,7)

*2x39

79

11

(77,56,35,34,27,17,17,11,11,11,5)

 

80

10

(77,61,32,32,19,13,11,7,1,1)

 

81

10

(79,51,44,43,43,35,13,11,11,7)

 

82

10

(73,67,58,49,43,35,34,29,13,1)

 

83

10

(80,56,50,46,40,40,28,22,20,13)

 

84

10

(75,65,59,58,47,37,35,35,28,23)

 

85

10

(76,64,62,58,52,32,14,14,11,2)

 

86

10

(73,67,65,61,56,41,25,7,5,4)

 

87

10

(83,62,55,53,17,15,13,7,7,1)

 

88

10

(77,73,61,56,53,22,13,11,11,5)

 

89

10

(85,65,59,35,25,23,11,7,5,4)

 

90

9

(83,67,67,49,46,25,17,1,1)

 

91

10

(89,61,49,41,28,25,17,17,11,7)

 

92

10

(77,74,74,59,49,47,37,23,13,5)

 

93

9

(86,76,58,38,38,38,34,29,28)

 

94

10

(89,74,49,43,37,37,35,34,13,1)

 

95

10

(89,67,65,55,53,49,40,37,35,19)

 

96

9

(89,79,53,47,41,41,25,10,7)

 

97

10

(91,71,65,61,41,37,35,31,16,13)

 

98

10

(91,77,61,59,49,32,31,19,8,1)

 

99

10

(98,53,53,47,25,23,21,19,13,5)

 

100

10

(97,65,62,53,47,35,17,11,10,7)

 

101

10

(100,61,41,37,35,29,25,13,11,7)

 

102

10

(101,58,53,37,35,13,8,7,5,3)

 

103

10

(97,79,65,59,25,23,10,7,7,1)

 

104

10

(95,89,55,35,35,31,31,22,8,5)

 

105

9

(98,73,70,68,64,46,40,40,16)

 

106

10

(103,71,64,53,37,35,32,13,7,5)

 

107

10

(97,89,74,43,25,13,7,7,1,1)

 

108

9

(98,82,74,74,62,44,38,34,2)

2x54

109

10

(101,85,77,49,41,41,40,37,13,5)

 

110

10

(109,62,53,47,37,35,25,20,13,7)

 

111

9

(106,82,68,56,47,44,20,20,16)

 

112

10

(110,74,52,50,34,28,26,26,14,14)

2x56

113

10

(107,91,43,41,31,31,25,23,22,7)

 

114

10

(111,76,65,59,49,25,23,17,10,7)

 

115

10

(112,74,68,58,56,40,34,34,20,13)

 

116

10

(112,77,73,61,55,52,37,31,25,23)

 

117

10

(116,64,62,34,34,21,20,14,10,8)

*3x39

118

10

(115,77,73,50,47,23,23,17,14,13)

 

119

10

(104,98,86,74,70,34,28,23,10,10)

 

120

9

(113,95,65,65,47,41,37,14,1)

*2x60

 

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