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On this page are computer-accessible forms for the graph C4[ 120, 39 ] = UG(ATD[120,57]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {19, 22} under the group generated by the following permutations:

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

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

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