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On this page are computer-accessible forms for the graph C4[ 120, 50 ] = XI(Rmap(60,7){4,6|3}_10).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {23, 62} under the group generated by the following permutations:

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

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