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On this page are computer-accessible forms for the graph C4[ 58, 2 ] = C_58(1,17).

(I) Following is a form readable by MAGMA:

g:=Graph<58|{ {2, 3}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {20, 21}, {18, 19}, {16, 17}, {14, 15}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {1, 2}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {21, 22}, {17, 18}, {5, 6}, {9, 10}, {13, 14}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {3, 4}, {51, 52}, {43, 44}, {19, 20}, {11, 12}, {27, 28}, {35, 36}, {7, 8}, {55, 56}, {39, 40}, {23, 24}, {2, 19}, {40, 57}, {38, 55}, {14, 31}, {4, 21}, {6, 23}, {8, 25}, {10, 27}, {12, 29}, {32, 49}, {34, 51}, {36, 53}, {1, 18}, {41, 58}, {37, 54}, {5, 22}, {9, 26}, {13, 30}, {33, 50}, {3, 20}, {11, 28}, {35, 52}, {7, 24}, {47, 48}, {39, 56}, {15, 16}, {2, 43}, {16, 57}, {4, 45}, {6, 47}, {1, 42}, {17, 58}, {5, 46}, {3, 44}, {15, 32}, {31, 48}, {16, 33}, {20, 37}, {18, 35}, {22, 39}, {24, 41}, {26, 43}, {28, 45}, {30, 47}, {17, 34}, {21, 38}, {25, 42}, {29, 46}, {7, 48}, {19, 36}, {15, 56}, {27, 44}, {8, 49}, {14, 55}, {10, 51}, {12, 53}, {1, 58}, {9, 50}, {13, 54}, {11, 52}, {23, 40}, {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, 18, 58, 42)(3, 35, 57, 25)(4, 52, 56, 8)(5, 11, 55, 49)(6, 28, 54, 32)(7, 45, 53, 15)(9, 21, 51, 39)(10, 38, 50, 22)(12, 14, 48, 46)(13, 31, 47, 29)(16, 24, 44, 36)(17, 41, 43, 19)(20, 34, 40, 26)(23, 27, 37, 33)
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, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58)

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

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