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On this page are computer-accessible forms for the graph C4[ 120, 4 ] = C_120(1,29).

(I) Following is a form readable by MAGMA:

g:=Graph<120|{ {2, 3}, {118, 119}, {116, 117}, {114, 115}, {112, 113}, {110, 111}, {108, 109}, {106, 107}, {104, 105}, {102, 103}, {100, 101}, {98, 99}, {96, 97}, {94, 95}, {92, 93}, {90, 91}, {88, 89}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {32, 33}, {30, 31}, {28, 29}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {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}, {1, 2}, {117, 118}, {113, 114}, {109, 110}, {105, 106}, {101, 102}, {97, 98}, {93, 94}, {89, 90}, {45, 46}, {41, 42}, {37, 38}, {33, 34}, {29, 30}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {49, 50}, {53, 54}, {57, 58}, {61, 62}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {3, 4}, {115, 116}, {107, 108}, {99, 100}, {91, 92}, {43, 44}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {51, 52}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {7, 8}, {119, 120}, {103, 104}, {87, 88}, {39, 40}, {23, 24}, {55, 56}, {71, 72}, {2, 31}, {34, 63}, {32, 61}, {64, 93}, {66, 95}, {1, 30}, {111, 112}, {47, 48}, {33, 62}, {15, 16}, {65, 94}, {79, 80}, {3, 32}, {91, 120}, {87, 116}, {31, 60}, {27, 56}, {7, 36}, {11, 40}, {15, 44}, {19, 48}, {23, 52}, {67, 96}, {71, 100}, {75, 104}, {79, 108}, {83, 112}, {4, 33}, {86, 115}, {30, 59}, {28, 57}, {6, 35}, {12, 41}, {14, 43}, {20, 49}, {22, 51}, {68, 97}, {70, 99}, {76, 105}, {78, 107}, {84, 113}, {5, 34}, {29, 58}, {13, 42}, {21, 50}, {69, 98}, {77, 106}, {85, 114}, {8, 37}, {90, 119}, {88, 117}, {10, 39}, {24, 53}, {26, 55}, {72, 101}, {74, 103}, {9, 38}, {89, 118}, {25, 54}, {73, 102}, {16, 45}, {18, 47}, {80, 109}, {82, 111}, {17, 46}, {95, 96}, {31, 32}, {81, 110}, {4, 95}, {1, 92}, {3, 94}, {2, 93}, {35, 64}, {47, 76}, {43, 72}, {39, 68}, {51, 80}, {55, 84}, {59, 88}, {63, 92}, {5, 96}, {46, 75}, {44, 73}, {38, 67}, {36, 65}, {29, 120}, {7, 98}, {13, 104}, {15, 106}, {21, 112}, {23, 114}, {52, 81}, {54, 83}, {60, 89}, {62, 91}, {6, 97}, {45, 74}, {37, 66}, {14, 105}, {22, 113}, {53, 82}, {61, 90}, {8, 99}, {28, 119}, {12, 103}, {24, 115}, {9, 100}, {42, 71}, {40, 69}, {27, 118}, {11, 102}, {25, 116}, {56, 85}, {58, 87}, {10, 101}, {41, 70}, {26, 117}, {57, 86}, {1, 120}, {16, 107}, {20, 111}, {17, 108}, {19, 110}, {48, 77}, {50, 79}, {18, 109}, {49, 78}, {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, 30)(3, 59)(4, 88)(5, 117)(6, 26)(7, 55)(8, 84)(9, 113)(10, 22)(11, 51)(12, 80)(13, 109)(14, 18)(15, 47)(16, 76)(17, 105)(19, 43)(20, 72)(21, 101)(23, 39)(24, 68)(25, 97)(27, 35)(28, 64)(29, 93)(32, 60)(33, 89)(34, 118)(36, 56)(37, 85)(38, 114)(40, 52)(41, 81)(42, 110)(44, 48)(45, 77)(46, 106)(49, 73)(50, 102)(53, 69)(54, 98)(57, 65)(58, 94)(62, 90)(63, 119)(66, 86)(67, 115)(70, 82)(71, 111)(74, 78)(75, 107)(79, 103)(83, 99)(87, 95)(92, 120)(96, 116)(100, 112)(104, 108)
b: (2, 92)(3, 63)(4, 34)(6, 96)(7, 67)(8, 38)(10, 100)(11, 71)(12, 42)(14, 104)(15, 75)(16, 46)(18, 108)(19, 79)(20, 50)(22, 112)(23, 83)(24, 54)(26, 116)(27, 87)(28, 58)(30, 120)(31, 91)(32, 62)(35, 95)(36, 66)(39, 99)(40, 70)(43, 103)(44, 74)(47, 107)(48, 78)(51, 111)(52, 82)(55, 115)(56, 86)(59, 119)(60, 90)(64, 94)(68, 98)(72, 102)(76, 106)(80, 110)(84, 114)(88, 118)
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, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120)

(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[ 120, 4 ]
120
-1 2 92 30 120
-2 1 3 93 31
-3 2 4 94 32
-4 33 3 5 95
-5 34 4 6 96
-6 35 5 7 97
-7 36 6 8 98
-8 99 37 7 9
-9 100 38 8 10
-10 11 101 39 9
-11 12 102 40 10
-12 11 13 103 41
-13 12 14 104 42
-14 13 15 105 43
-15 44 14 16 106
-16 45 15 17 107
-17 46 16 18 108
-18 47 17 19 109
-19 110 48 18 20
-20 111 49 19 21
-21 22 112 50 20
-22 23 113 51 21
-23 22 24 114 52
-24 23 25 115 53
-25 24 26 116 54
-26 55 25 27 117
-27 56 26 28 118
-28 57 27 29 119
-29 58 28 30 120
-30 1 59 29 31
-31 2 60 30 32
-32 33 3 61 31
-33 34 4 62 32
-34 33 35 5 63
-35 34 36 6 64
-36 35 37 7 65
-37 66 36 38 8
-38 67 37 39 9
-39 68 38 40 10
-40 11 69 39 41
-41 12 70 40 42
-42 13 71 41 43
-43 44 14 72 42
-44 45 15 73 43
-45 44 46 16 74
-46 45 47 17 75
-47 46 48 18 76
-48 77 47 49 19
-49 78 48 50 20
-50 79 49 51 21
-51 22 80 50 52
-52 23 81 51 53
-53 24 82 52 54
-54 55 25 83 53
-55 56 26 84 54
-56 55 57 27 85
-57 56 58 28 86
-58 57 59 29 87
-59 88 58 60 30
-60 89 59 61 31
-61 90 60 62 32
-62 33 91 61 63
-63 34 92 62 64
-64 35 93 63 65
-65 66 36 94 64
-66 67 37 95 65
-67 66 68 38 96
-68 67 69 39 97
-69 68 70 40 98
-70 99 69 71 41
-71 100 70 72 42
-72 101 71 73 43
-73 44 102 72 74
-74 45 103 73 75
-75 46 104 74 76
-76 77 47 105 75
-77 78 48 106 76
-78 77 79 49 107
-79 78 80 50 108
-80 79 81 51 109
-81 110 80 82 52
-82 111 81 83 53
-83 112 82 84 54
-84 55 113 83 85
-85 56 114 84 86
-86 57 115 85 87
-87 88 58 116 86
-88 89 59 117 87
-89 88 90 60 118
-90 89 91 61 119
-91 90 92 62 120
-92 1 91 93 63
-93 2 92 94 64
-94 3 93 95 65
-95 66 4 94 96
-96 67 5 95 97
-97 68 6 96 98
-98 99 69 7 97
-99 100 70 8 98
-100 99 101 71 9
-101 100 102 72 10
-102 11 101 103 73
-103 12 102 104 74
-104 13 103 105 75
-105 14 104 106 76
-106 77 15 105 107
-107 78 16 106 108
-108 79 17 107 109
-109 110 80 18 108
-110 111 81 19 109
-111 110 112 82 20
-112 111 113 83 21
-113 22 112 114 84
-114 23 113 115 85
-115 24 114 116 86
-116 25 115 117 87
-117 88 26 116 118
-118 89 27 117 119
-119 90 28 118 120
-120 1 91 29 119
0

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