C4graphGraph forms for C4 [ 39, 1 ] = C_39(1,14)

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On this page are computer-accessible forms for the graph C4[ 39, 1 ] = C_39(1,14).

(I) Following is a form readable by MAGMA:

g:=Graph<39|{ {2, 3}, {38, 39}, {36, 37}, {16, 17}, {14, 15}, {12, 13}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {1, 2}, {37, 38}, {13, 14}, {5, 6}, {9, 10}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {3, 4}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {1, 15}, {16, 30}, {17, 31}, {7, 8}, {23, 24}, {2, 16}, {15, 29}, {14, 28}, {11, 25}, {3, 17}, {6, 20}, {7, 21}, {10, 24}, {4, 18}, {13, 27}, {12, 26}, {5, 19}, {2, 27}, {4, 29}, {6, 31}, {1, 26}, {5, 30}, {8, 22}, {9, 23}, {3, 28}, {15, 16}, {1, 39}, {7, 32}, {8, 33}, {14, 39}, {12, 37}, {10, 35}, {9, 34}, {13, 38}, {11, 36}, {18, 32}, {19, 33}, {22, 36}, {23, 37}, {20, 34}, {21, 35}, {24, 38}, {25, 39}, {31, 32} }>;

(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, 37, 38, 39)
b: (2, 26)(3, 12)(4, 37)(5, 23)(6, 9)(7, 34)(8, 20)(10, 31)(11, 17)(13, 28)(15, 39)(16, 25)(18, 36)(19, 22)(21, 33)(24, 30)(29, 38)(32, 35)
c: (2, 15)(3, 29)(5, 18)(6, 32)(8, 21)(9, 35)(11, 24)(12, 38)(14, 27)(17, 30)(20, 33)(23, 36)(26, 39)

(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[ 39, 1 ]
39
-1 2 15 26 39
-2 1 3 16 27
-3 2 4 17 28
-4 3 5 18 29
-5 4 6 19 30
-6 5 7 20 31
-7 6 8 21 32
-8 22 33 7 9
-9 23 34 8 10
-10 11 24 35 9
-11 12 25 36 10
-12 11 13 26 37
-13 12 14 27 38
-14 13 15 28 39
-15 1 14 16 29
-16 2 15 17 30
-17 3 16 18 31
-18 4 17 19 32
-19 33 5 18 20
-20 34 6 19 21
-21 22 35 7 20
-22 23 36 8 21
-23 22 24 37 9
-24 23 25 38 10
-25 11 24 26 39
-26 1 12 25 27
-27 2 13 26 28
-28 3 14 27 29
-29 4 15 28 30
-30 5 16 29 31
-31 6 17 30 32
-32 33 7 18 31
-33 34 8 19 32
-34 33 35 9 20
-35 34 36 10 21
-36 11 22 35 37
-37 12 23 36 38
-38 13 24 37 39
-39 1 14 25 38
0

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