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On this page are computer-accessible forms for the graph C4[ 120, 7 ] = C_120(1,49).

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

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