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On this page are computer-accessible forms for the graph C4[ 120, 35 ] = UG(ATD[120,50]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {116, 117} under the group generated by the following permutations:

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

**************

&Graph
C4[ 120, 35 ]
120
-1 11 2 3 7
-2 1 4 5 17
-3 1 25 6 8
-4 2 26 7 9
-5 12 2 37 10
-6 11 13 3 38
-7 1 14 4 39
-8 3 15 18 54
-9 55 4 16 19
-10 56 5 17 20
-11 1 57 6 21
-12 22 5 27 72
-13 23 6 28 73
-14 24 7 29 74
-15 25 8 30 75
-16 26 51 9 31
-17 2 10 32 76
-18 33 90 40 8
-19 34 91 41 9
-20 35 92 42 10
-21 11 36 74 43
-22 44 12 37 93
-23 45 13 35 38
-24 46 14 71 39
-25 89 3 15 32
-26 47 4 16 82
-27 12 58 48 105
-28 13 59 49 83
-29 14 60 50 106
-30 88 15 51 42
-31 16 61 52 64
-32 25 17 62 53
-33 44 18 95 54
-34 55 19 63 65
-35 23 56 52 20
-36 57 61 64 21
-37 22 47 5 104
-38 23 6 63 65
-39 66 100 24 7
-40 67 58 94 18
-41 77 68 114 19
-42 78 69 30 20
-43 79 102 70 21
-44 22 33 71 61
-45 23 46 71 52
-46 45 24 80 84
-47 26 37 81 49
-48 27 72 63 107
-49 47 82 28 73
-50 83 29 74 85
-51 16 30 52 75
-52 45 35 51 31
-53 80 84 32 76
-54 33 104 8 65
-55 66 34 113 9
-56 35 83 85 10
-57 11 36 103 86
-58 77 27 40 87
-59 68 28 87 109
-60 88 94 29 118
-61 44 36 95 31
-62 89 96 97 32
-63 34 80 48 38
-64 36 96 31 97
-65 34 38 54 98
-66 55 99 69 39
-67 90 82 40 107
-68 91 59 83 41
-69 66 100 92 42
-70 101 91 74 43
-71 44 45 24 93
-72 12 113 48 85
-73 13 49 116 86
-74 14 70 50 21
-75 101 91 15 51
-76 112 102 17 53
-77 58 103 94 41
-78 88 103 42 86
-79 92 105 43 120
-80 46 63 107 53
-81 47 104 108 109
-82 67 26 49 97
-83 56 68 28 50
-84 46 53 108 109
-85 110 56 50 72
-86 99 78 57 73
-87 100 58 59 105
-88 78 60 106 30
-89 111 25 62 106
-90 67 101 116 18
-91 68 70 19 75
-92 79 69 102 20
-93 22 111 71 106
-94 77 112 60 40
-95 33 112 102 61
-96 114 115 62 64
-97 82 62 107 64
-98 114 104 115 65
-99 66 113 116 86
-100 69 39 87 109
-101 90 70 117 75
-102 92 95 43 76
-103 77 78 57 114
-104 37 81 54 98
-105 111 79 27 87
-106 88 89 93 29
-107 67 80 48 97
-108 81 84 118 119
-109 100 59 81 84
-110 113 85 118 119
-111 89 93 105 120
-112 94 95 118 76
-113 55 99 110 72
-114 103 41 96 98
-115 96 119 98 120
-116 99 90 73 117
-117 101 116 119 120
-118 110 112 60 108
-119 110 115 117 108
-120 111 79 115 117
0

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