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Generators of C(65,8,8)

The points of the projective line are numbered from -1 to 63. PSL2(64) is generated by Z63, E64 and Z65 given below.

A generator of Z63

-1 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 3 1 7 5 11 9 15 13 19 17 23 21 27 25 31 29 35 33 39 37 43 41 47 45 51 49 55 53 59 57 63 61

The generators of E64

-1 1 0 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62

-1 2 3 0 1 6 7 4 5 10 11 8 9 14 15 12 13 18 19 16 17 22 23 20 21 26 27 24 25 30 31 28 29 34 35 32 33 38 39 36 37 42 43 40 41 46 47 44 45 50 51 48 49 54 55 52 53 58 59 56 57 62 63 60 61

-1 4 5 6 7 0 1 2 3 12 13 14 15 8 9 10 11 20 21 22 23 16 17 18 19 28 29 30 31 24 25 26 27 36 37 38 39 32 33 34 35 44 45 46 47 40 41 42 43 52 53 54 55 48 49 50 51 60 61 62 63 56 57 58 59

-1 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 24 25 26 27 28 29 30 31 16 17 18 19 20 21 22 23 40 41 42 43 44 45 46 47 32 33 34 35 36 37 38 39 56 57 58 59 60 61 62 63 48 49 50 51 52 53 54 55

-1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47

-1 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

A generator of Z65

1 -1 32 48 30 56 53 47 23 60 50 27 15 22 21 10 44 62 26 57 51 12 49 6 13 43 39 11 16 37 58 54 2 63 0 45 42 29 36 24 41 38 55 25 34 35 14 7 52 20 3 18 8 4 46 40 31 19 5 61 28 59 9 33 17

The generators of the orbits of C(65,8,8) under PSL2(64)

-1 0 1 2 5 10 19 57
-1 0 1 2 6 12 52 59

each orbit has length 32760

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