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On this page are computer-accessible forms for the graph C4[ 120, 3 ] = C_120(1,19).

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

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