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On this page are computer-accessible forms for the graph C4[ 65, 3 ] = C_65(1,18).

(I) Following is a form readable by MAGMA:

g:=Graph<65|{ {2, 3}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {28, 29}, {26, 27}, {24, 25}, {22, 23}, {20, 21}, {18, 19}, {16, 17}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {44, 45}, {46, 47}, {48, 49}, {50, 51}, {52, 53}, {1, 2}, {61, 62}, {57, 58}, {25, 26}, {21, 22}, {17, 18}, {5, 6}, {9, 10}, {13, 14}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {3, 4}, {59, 60}, {27, 28}, {19, 20}, {11, 12}, {35, 36}, {43, 44}, {51, 52}, {7, 8}, {55, 56}, {23, 24}, {39, 40}, {1, 19}, {4, 22}, {5, 23}, {8, 26}, {9, 27}, {12, 30}, {13, 31}, {32, 50}, {33, 51}, {36, 54}, {37, 55}, {40, 58}, {41, 59}, {44, 62}, {45, 63}, {2, 20}, {3, 21}, {10, 28}, {11, 29}, {34, 52}, {35, 53}, {42, 60}, {43, 61}, {6, 24}, {7, 25}, {38, 56}, {39, 57}, {15, 16}, {47, 48}, {14, 32}, {15, 33}, {30, 48}, {31, 49}, {16, 63}, {1, 48}, {15, 62}, {3, 50}, {5, 52}, {7, 54}, {9, 56}, {11, 58}, {13, 60}, {16, 34}, {28, 46}, {25, 43}, {24, 42}, {21, 39}, {20, 38}, {17, 35}, {29, 47}, {2, 49}, {6, 53}, {10, 57}, {14, 61}, {18, 36}, {27, 45}, {26, 44}, {19, 37}, {4, 51}, {12, 59}, {22, 40}, {23, 41}, {8, 55}, {31, 32}, {1, 65}, {17, 64}, {18, 65}, {46, 64}, {47, 65}, {63, 64} }>;

(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, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65)
b: (2, 48, 65, 19)(3, 30, 64, 37)(4, 12, 63, 55)(5, 59, 62, 8)(6, 41, 61, 26)(7, 23, 60, 44)(9, 52, 58, 15)(10, 34, 57, 33)(11, 16, 56, 51)(13, 45, 54, 22)(14, 27, 53, 40)(17, 38, 50, 29)(18, 20, 49, 47)(21, 31, 46, 36)(24, 42, 43, 25)(28, 35, 39, 32)

(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[ 65, 3 ]
65
-1 2 48 19 65
-2 1 3 49 20
-3 2 4 50 21
-4 22 3 5 51
-5 23 4 6 52
-6 24 5 7 53
-7 25 6 8 54
-8 55 26 7 9
-9 56 27 8 10
-10 11 57 28 9
-11 12 58 29 10
-12 11 13 59 30
-13 12 14 60 31
-14 13 15 61 32
-15 33 14 16 62
-16 34 15 17 63
-17 35 16 18 64
-18 36 17 19 65
-19 1 37 18 20
-20 2 38 19 21
-21 22 3 39 20
-22 23 4 40 21
-23 22 24 5 41
-24 23 25 6 42
-25 24 26 7 43
-26 44 25 27 8
-27 45 26 28 9
-28 46 27 29 10
-29 11 47 28 30
-30 12 48 29 31
-31 13 49 30 32
-32 33 14 50 31
-33 34 15 51 32
-34 33 35 16 52
-35 34 36 17 53
-36 35 37 18 54
-37 55 36 38 19
-38 56 37 39 20
-39 57 38 40 21
-40 22 58 39 41
-41 23 59 40 42
-42 24 60 41 43
-43 44 25 61 42
-44 45 26 62 43
-45 44 46 27 63
-46 45 47 28 64
-47 46 48 29 65
-48 1 47 49 30
-49 2 48 50 31
-50 3 49 51 32
-51 33 4 50 52
-52 34 5 51 53
-53 35 6 52 54
-54 55 36 7 53
-55 56 37 8 54
-56 55 57 38 9
-57 56 58 39 10
-58 11 57 59 40
-59 12 58 60 41
-60 13 59 61 42
-61 14 60 62 43
-62 44 15 61 63
-63 45 16 62 64
-64 46 17 63 65
-65 1 47 18 64
0

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