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On this page are computer-accessible forms for the graph C4[ 104, 3 ] = C_104(1,27).

(I) Following is a form readable by MAGMA:

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

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

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