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On this page are computer-accessible forms for the graph C4[ 105, 2 ] = C_105(1,34).

(I) Following is a form readable by MAGMA:

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

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