12th Powers

Euler length

Euler representation

4

911

(28x3,463x2,420x1)

5

365

(7x4,238x3,53x2,67x1)

6

456

(121x4,276x3,15x2,44x1)

7

196

(5x6,10x5,29x4,55x3,49x2,48x1)

8

157

(7,7,18x6,6x5,22x4,39x3,37x2,33x1)

9

118

(8,12x7,21x6,7x5,11x4,16x3,36x2,14x1)

10

66

(9,9,30x7,9x6,5,4,4,4,4,2,2,2,2,2,15x1)

11

79

(10x9,22x76,6,6,6,5,5,5,11x4,3,15x2,13x1)

12

66

(7x10,4x9,8x8,16x7,6x6,8x5,9x4,3,3,4x2,1,1)

13

78

(5x11,5x10,6x9,13x8,8x6,5,5,6x4,18x3,13x2,1,1)

14

66

(15x11,6x10,9x9,15x8,7,7,7,6,4x5,9x4,3,2,2,2)

15

66

(14,3x12,14x11,10,10,9,8,7,4x5,9x4,17x3,2,12x1)

16

54

(15,14,13,7x12,11,11,10,7x9,7,7,7,13x6,5,16x3,1)

17

53

(3x15,3x14,12,3x11,10,14x9,7x6,5,5,5,7x4,2,10x1)

18

44

(3x16,15,14,4x13,3x12,11,10,4x9,11x8,6x5,4,4,7x2)

19

42

(18,17,15,5x14,13,13,12,3x10,7x9,8,8,7,6,6,5,5,3,3,11x2,1)

20

46

(5x17,3x16,15,14,6x13,12,11,8,8,7,7,7x6,14x4,2,2,1)

21

42

(19,3x18,5x16,3x14,13,13,12,12,9x11,10,19,8x8,4x7,3x4)

22

44

(20,19,19,18,3x17,10x15,4x13,4x12,4x9,8,8,8,7,6,6,5,5,4,4x3,1,1)

23

40

(21,21,18,18,4x17,5x16,8x15,14,14,8,7x6,5,5x4,3,3,2)

24

40

(22,22,20,19,19,18,17,16,4x14,12,12,7x11,8,8,8,5,5,5,3,10x2,1,1)

25

40

(23,22,21,21,20,4x18,17,16,16,15,14,14,3x11,10,9,9,5x8,3x6,5,5,3x4,2,5x1)

26

39

(24,22,22,5x20,3x19,5x18,16,12,4x10,8,7,7,7,4x5,4x3,2,2,2,1,1)

27

30

(26,23,23,20,20,18,18,16,13,13,9x9,8,8,7,6,5,5,4,4,4,2,1)

28

40

(27,22,4x21,8x20,19,19,18,17,3x16,14,12,4x9,8,5,4,4,3,6x2,1,1)

29

40

(28,24,24,3x22,4x19,3x16,15,15,3x12,11,10,10,6x9,3x7,7x6,3,2,2)

30

40

(29,25,24,24,22,3x21,19,19,4x18,16,15,15,8x14,12,10,6x5,6x4,3)

 

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