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On this page are computer-accessible forms for the graph C4[ 106, 2 ] = C_106(1,23).

(I) Following is a form readable by MAGMA:

g:=Graph<106|{ {2, 3}, {104, 105}, {102, 103}, {100, 101}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {32, 33}, {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}, {54, 55}, {56, 57}, {58, 59}, {60, 61}, {62, 63}, {64, 65}, {66, 67}, {68, 69}, {70, 71}, {72, 73}, {74, 75}, {76, 77}, {78, 79}, {80, 81}, {82, 83}, {84, 85}, {86, 87}, {88, 89}, {90, 91}, {92, 93}, {94, 95}, {96, 97}, {98, 99}, {1, 2}, {105, 106}, {101, 102}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {37, 38}, {33, 34}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {57, 58}, {61, 62}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {3, 4}, {51, 52}, {43, 44}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {7, 8}, {103, 104}, {39, 40}, {23, 24}, {55, 56}, {71, 72}, {87, 88}, {8, 31}, {40, 63}, {32, 55}, {64, 87}, {72, 95}, {1, 24}, {39, 62}, {37, 60}, {35, 58}, {33, 56}, {3, 26}, {5, 28}, {7, 30}, {65, 88}, {67, 90}, {69, 92}, {71, 94}, {2, 25}, {38, 61}, {34, 57}, {6, 29}, {66, 89}, {70, 93}, {4, 27}, {47, 48}, {36, 59}, {15, 16}, {68, 91}, {79, 80}, {9, 32}, {31, 54}, {11, 34}, {13, 36}, {15, 38}, {25, 48}, {27, 50}, {29, 52}, {73, 96}, {75, 98}, {77, 100}, {79, 102}, {10, 33}, {30, 53}, {14, 37}, {26, 49}, {74, 97}, {78, 101}, {12, 35}, {28, 51}, {76, 99}, {16, 39}, {24, 47}, {80, 103}, {17, 40}, {19, 42}, {21, 44}, {23, 46}, {81, 104}, {83, 106}, {18, 41}, {22, 45}, {82, 105}, {20, 43}, {31, 32}, {95, 96}, {4, 87}, {8, 91}, {12, 95}, {1, 84}, {3, 86}, {9, 92}, {11, 94}, {2, 85}, {10, 93}, {5, 88}, {7, 90}, {6, 89}, {41, 64}, {47, 70}, {45, 68}, {43, 66}, {57, 80}, {59, 82}, {61, 84}, {63, 86}, {1, 106}, {46, 69}, {42, 65}, {58, 81}, {62, 85}, {13, 96}, {15, 98}, {14, 97}, {44, 67}, {60, 83}, {16, 99}, {20, 103}, {17, 100}, {19, 102}, {18, 101}, {48, 71}, {56, 79}, {49, 72}, {51, 74}, {53, 76}, {55, 78}, {50, 73}, {54, 77}, {21, 104}, {23, 106}, {22, 105}, {52, 75}, {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, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106)
b: (2, 24, 106, 84)(3, 47, 105, 61)(4, 70, 104, 38)(5, 93, 103, 15)(6, 10, 102, 98)(7, 33, 101, 75)(8, 56, 100, 52)(9, 79, 99, 29)(11, 19, 97, 89)(12, 42, 96, 66)(13, 65, 95, 43)(14, 88, 94, 20)(16, 28, 92, 80)(17, 51, 91, 57)(18, 74, 90, 34)(21, 37, 87, 71)(22, 60, 86, 48)(23, 83, 85, 25)(26, 46, 82, 62)(27, 69, 81, 39)(30, 32, 78, 76)(31, 55, 77, 53)(35, 41, 73, 67)(36, 64, 72, 44)(40, 50, 68, 58)(45, 59, 63, 49)

(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[ 106, 2 ]
106
-1 2 24 84 106
-2 1 3 25 85
-3 2 4 26 86
-4 3 5 27 87
-5 88 4 6 28
-6 89 5 7 29
-7 90 6 8 30
-8 91 7 9 31
-9 92 8 10 32
-10 11 33 93 9
-11 12 34 94 10
-12 11 13 35 95
-13 12 14 36 96
-14 13 15 37 97
-15 14 16 38 98
-16 99 15 17 39
-17 100 16 18 40
-18 101 17 19 41
-19 102 18 20 42
-20 103 19 21 43
-21 22 44 104 20
-22 23 45 105 21
-23 22 24 46 106
-24 1 23 25 47
-25 2 24 26 48
-26 3 25 27 49
-27 4 26 28 50
-28 5 27 29 51
-29 6 28 30 52
-30 7 29 31 53
-31 8 30 32 54
-32 33 55 9 31
-33 34 56 10 32
-34 11 33 35 57
-35 12 34 36 58
-36 13 35 37 59
-37 14 36 38 60
-38 15 37 39 61
-39 16 38 40 62
-40 17 39 41 63
-41 18 40 42 64
-42 19 41 43 65
-43 44 66 20 42
-44 45 67 21 43
-45 22 44 46 68
-46 23 45 47 69
-47 24 46 48 70
-48 25 47 49 71
-49 26 48 50 72
-50 27 49 51 73
-51 28 50 52 74
-52 29 51 53 75
-53 30 52 54 76
-54 55 77 31 53
-55 56 78 32 54
-56 33 55 57 79
-57 34 56 58 80
-58 35 57 59 81
-59 36 58 60 82
-60 37 59 61 83
-61 38 60 62 84
-62 39 61 63 85
-63 40 62 64 86
-64 41 63 65 87
-65 66 88 42 64
-66 67 89 43 65
-67 44 66 68 90
-68 45 67 69 91
-69 46 68 70 92
-70 47 69 71 93
-71 48 70 72 94
-72 49 71 73 95
-73 50 72 74 96
-74 51 73 75 97
-75 52 74 76 98
-76 77 99 53 75
-77 78 100 54 76
-78 55 77 79 101
-79 56 78 80 102
-80 57 79 81 103
-81 58 80 82 104
-82 59 81 83 105
-83 60 82 84 106
-84 1 61 83 85
-85 2 62 84 86
-86 3 63 85 87
-87 88 4 64 86
-88 89 5 65 87
-89 66 88 90 6
-90 67 89 91 7
-91 68 90 92 8
-92 69 91 93 9
-93 70 92 94 10
-94 11 71 93 95
-95 12 72 94 96
-96 13 73 95 97
-97 14 74 96 98
-98 99 15 75 97
-99 100 16 76 98
-100 77 99 101 17
-101 78 100 102 18
-102 79 101 103 19
-103 80 102 104 20
-104 81 103 105 21
-105 22 82 104 106
-106 1 23 83 105
0

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