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On this page are computer-accessible forms for the graph C4[ 120, 36 ] = UG(ATD[120,53]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {42, 43} under the group generated by the following permutations:

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

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

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