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On this page are computer-accessible forms for the graph C4[ 120, 19 ] = R_60(17,46).

(I) Following is a form readable by MAGMA:

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

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

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