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On this page are computer-accessible forms for the graph C4[ 36, 5 ] = Pr_12(1,1,5,5).

(I) Following is a form readable by MAGMA:

g:=Graph<36|{ {2, 3}, {10, 11}, {8, 9}, {6, 7}, {4, 5}, {1, 2}, {9, 10}, {5, 6}, {24, 29}, {26, 31}, {3, 4}, {25, 30}, {11, 12}, {4, 15}, {23, 28}, {1, 13}, {3, 15}, {2, 14}, {16, 28}, {17, 29}, {18, 30}, {19, 31}, {1, 12}, {22, 27}, {3, 14}, {20, 25}, {2, 13}, {7, 8}, {21, 26}, {14, 31}, {13, 30}, {4, 16}, {7, 19}, {6, 18}, {5, 17}, {12, 24}, {13, 25}, {14, 26}, {15, 27}, {5, 16}, {7, 18}, {6, 17}, {1, 24}, {8, 19}, {12, 23}, {8, 20}, {10, 22}, {9, 21}, {11, 23}, {9, 20}, {11, 22}, {10, 21}, {15, 32}, {16, 33}, {18, 35}, {17, 34}, {20, 32}, {23, 35}, {22, 34}, {21, 33}, {19, 36}, {25, 32}, {29, 36}, {27, 34}, {26, 33}, {31, 36}, {27, 32}, {24, 36}, {28, 33}, {30, 35}, {28, 35}, {29, 34} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (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, 32, 33, 34, 35, 36)
b: (2, 24)(3, 29)(4, 17)(6, 16)(7, 33)(8, 21)(10, 20)(11, 25)(12, 13)(14, 36)(15, 34)(18, 28)(19, 26)(22, 32)(23, 30)
c: (2, 12)(3, 11)(4, 10)(5, 9)(6, 8)(13, 24)(14, 23)(15, 22)(16, 21)(17, 20)(18, 19)(25, 29)(26, 28)(30, 36)(31, 35)(32, 34)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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&Graph
C4[ 36, 5 ]
36
-1 12 2 13 24
-2 1 13 3 14
-3 2 14 4 15
-4 3 15 5 16
-5 4 16 6 17
-6 5 17 7 18
-7 6 18 8 19
-8 7 19 9 20
-9 8 20 10 21
-10 11 22 9 21
-11 22 12 23 10
-12 11 1 23 24
-13 1 2 25 30
-14 2 3 26 31
-15 3 4 27 32
-16 33 4 5 28
-17 34 5 6 29
-18 35 6 7 30
-19 36 7 8 31
-20 25 8 9 32
-21 33 26 9 10
-22 11 34 27 10
-23 11 12 35 28
-24 1 12 36 29
-25 13 30 20 32
-26 33 14 31 21
-27 22 34 15 32
-28 33 23 35 16
-29 34 24 36 17
-30 13 35 25 18
-31 14 36 26 19
-32 25 15 27 20
-33 26 16 28 21
-34 22 27 17 29
-35 23 28 18 30
-36 24 29 19 31
0

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