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On this page are computer-accessible forms for the graph C4[ 37, 1 ] = C_37(1,6).

(I) Following is a form readable by MAGMA:

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

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

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