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.

4th Powers

Euler length

Euler representation

Code

3

6

(2,2,2,2,2,1)

 

4

16

(16x2)

 

5

5

(4,4,3,2,2)

 

6

6

(4,4,4,4,4,2)

2x3

7

6

(6,4,4,4,4,3)

 

8

16

(16x4)

 

9

6

(6,6,6,6,6,3)

3x3*

10

5

(8,8,6,4,4)

2x5

11

7

(10,8,4,4,2,2,1)

 

12

6

(8,8,8,8,8,4)

4x3

13

6

(12,8,7,6,2,2)

 

14

6

(12,8,8,8,8,6)

2x7

15

5

(12,12,9,6,6)

3x5

16

16

(16x8)

 

17

6

(14,14,8,6,6,1)

 

18

6

(12,12,12,12,12,6)

6x3

19

6

(18,12,8,4,4,1)

 

20

5

(16,16,12,8,8)

4x5

21

6

(14,14,14,14,14,7)

7x3*

22

7

(20,16,8,8,4,4,2)

2x11

23

6

(18,18,16,8,4,1)

 

24

6

(16,16,16,16,16,8)

8x3

25

5

(20,20,15,10,10)

5x5

26

6

(24,16,14,12,4,4)

2x13

27

6

(18,18,18,18,18,9)

9x3

28

6

(24,16,16,16,16,12)

4x7

29

6

(22,22,18,18,13,4)

 

30

5

(24,24,18,12,12)

6x5

31

5

(30,17,10,10,10)

 

32

16

(16x16)

 

33

6

(22,22,22,22,22,11)

11x3

34

6

(28,28,16,12,12,2)

 

35

5

(28,26,22,21,4)

*7x5*

36

6

(24,24,24,24,24,12)

12x3

37

6

(32,29,14,14,12,12)

*

38

6

(36,24,16,8,8,2)

2x19

39

6

(26,26,26,26,26,13)

13x3*

40

5

(32,32,24,16,16)

8x5

41

6

(32,27,26,26,24,2)

 

42

6

(28,28,28,28,28,14)

14x3

43

6

(32,28,28,28,24,21)

 

44

7

(40,32,16,16,8,8,4)

4x11

45

5

(36,36,27,18,18)

9x5

46

6

(36,36,32,16,8,2)

2x23

47

6

(34,34,34,27,22,18)

 

48

6

(32,32,32,32,32,16)

16x3

49

6

(38,38,31,24,22,18)

*7x7

50

5

(40,40,30,20,20)

10x5

51

6

(34,34,34,34,34,17)

17x3

52

6

(48,32,28,24,8,8)

4x13

53

6

(44,41,28,24,24,14)

 

54

6

(36,36,36,36,36,18)

18x3

55

5

(44,44,33,22,22)

11x5

56

6

(48,32,32,32,32,24)

8x7

57

6

(38,38,38,38,38,19)

19x3

58

6

(44,44,36,36,26,8)

2x29

59

6

(46,42,42,34,16,11)

 

60

5

(48,48,36,24,24)

12x5

61

6

(44,42,42,41,32,2)

 

62

5

(60,34,20,20,20)

2x31

63

6

(42,42,42,42,42,21)

21x3*

64

16

(16x32)

 

65

5

(52,46,44,39,2)

*13x5

66

6

(44,44,44,44,44,22)

22x3

67

6

(52,52,38,36,36,17)

 

68

6

(56,56,32,24,24,4)

4x17

69

6

(68,32,22,7,4,4)

*3x23*

70

5

(56,56,42,28,28)

14x5

71

6

(67,44,28,24,24,22)

 

72

6

(64,56,16,16,16,16)

*24x3

73

6

(69,42,34,32,22,4)

 

74

6

(72,42,4,4,4,4)

*2x37

75

5

(70,45,40,30,20)

15x5

76

6

(72,48,32,16,16,4)

4x19

77

6

(71,48,42,32,22,14)

*11x7

78

6

(72,48,42,36,12,12)

*26x3

79

6

(74,51,38,18,8,8)

 

80

5

(64,64,48,32,32)

16x5

81

6

(63,72,18,18,18,18)

 

82

6

(64,54,52,52,48,4)

2x41

83

6

(79,54,6,6,6,6)

 

84

6

(56,56,56,56,56,28)

28x3

85

5

(84,38,22,16,13)

*17x5

86

6

(64,56,56,56,48,42)

2x43

87

6

(86,39,18,18,16,2)

*29x3

88

7

(80,64,32,32,16,16,8)

8x11

89

5

(80,60,52,35,10)

 

90

5

(72,72,54,36,36)

18x5

91

6

(86,54,43,36,22,14)

*13x7

92

6

(72,72,64,32,16,4)

4x23

93

5

(90,51,30,30,30)

 

94

6

(68,68,68,54,44,36)

2x47

95

5

(78,67,66,48,6)

*19x5

96

6

(64,64,64,64,64,32)

32x3

97

6

(96,36,33,24,24,16)

 

98

6

(84,56,56,56,56,42)

14x7

99

6

(98,44,16,9,6,6)

*33x3

100

5

(80,80,60,40,40)

20x5

101

6

(93,68,52,26,18,4)

 

102

6

(68,68,68,68,68,34)

34x3

103

5

(100,50,50,15,4)

 

104

6

(96,64,56,48,16,16)

8x13

105

5

(103,54,26,24,6)

*21x5

106

6

(88,82,56,48,48,28)

2x53

107

6

(97,68,66,38,18,8)

 

108

6

(72,72,72,72,72,36)

36x3

109

6

(101,76,36,34,28,10)

 

110

5

(88,88,66,44,44)

22x5

111

6

(74,74,74,74,74,37)

37x3

112

6

(96,64,64,64,64,48)

16x7

113

6

(84,72,72,72,72,49)

 

114

6

(76,76,76,76,76,38)

38x3

115

5

(92,92,69,46,46)

23x5

116

6

(88,88,72,72,52,16)

4x29

117

6

(78,78,78,78,78,39)

39x3

118

6

(92,84,84,68,32,22)

2x59

119

6

(94,88,74,69,56,6)

 

120

5

(96,96,72,48,48)

24x5

 

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