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On this page are computer-accessible forms for the graph C4[ 160, 50 ] = UG(ATD[160,50]).

(I) Following is a form readable by MAGMA:

g:=Graph<160|{ {150, 151}, {128, 130}, {1, 2}, {133, 134}, {1, 5}, {3, 7}, {2, 6}, {56, 60}, {98, 102}, {82, 87}, {129, 132}, {99, 100}, {117, 125}, {4, 14}, {148, 158}, {5, 15}, {4, 8}, {96, 109}, {149, 152}, {146, 159}, {2, 12}, {131, 141}, {16, 30}, {3, 13}, {10, 26}, {142, 158}, {40, 57}, {141, 159}, {39, 52}, {135, 148}, {136, 156}, {143, 155}, {111, 122}, {6, 16}, {139, 157}, {105, 127}, {7, 17}, {76, 90}, {34, 53}, {64, 88}, {6, 31}, {128, 153}, {44, 53}, {8, 18}, {102, 124}, {13, 23}, {10, 16}, {9, 19}, {78, 84}, {5, 30}, {66, 89}, {108, 112}, {129, 156}, {10, 20}, {133, 155}, {132, 154}, {11, 21}, {45, 50}, {130, 157}, {68, 91}, {100, 123}, {80, 112}, {25, 56}, {73, 104}, {89, 120}, {93, 124}, {85, 119}, {4, 39}, {89, 122}, {80, 117}, {83, 118}, {7, 32}, {92, 123}, {11, 35}, {12, 36}, {86, 126}, {8, 33}, {15, 38}, {70, 111}, {12, 38}, {29, 55}, {27, 49}, {26, 48}, {3, 40}, {20, 63}, {16, 59}, {14, 37}, {9, 34}, {69, 110}, {10, 38}, {26, 54}, {67, 111}, {88, 116}, {91, 119}, {17, 60}, {19, 62}, {28, 50}, {31, 49}, {29, 51}, {83, 125}, {86, 120}, {87, 121}, {88, 118}, {18, 61}, {21, 58}, {145, 160}, {147, 160}, {68, 112}, {75, 127}, {15, 58}, {71, 114}, {17, 39}, {25, 47}, {24, 46}, {14, 57}, {70, 113}, {73, 126}, {82, 106}, {95, 103}, {13, 52}, {18, 40}, {23, 45}, {22, 44}, {19, 41}, {67, 121}, {69, 127}, {81, 107}, {91, 97}, {72, 115}, {79, 116}, {65, 125}, {20, 42}, {21, 43}, {4, 65}, {9, 78}, {54, 113}, {39, 96}, {11, 76}, {3, 75}, {41, 97}, {24, 80}, {43, 98}, {59, 113}, {1, 77}, {45, 99}, {55, 121}, {60, 114}, {61, 115}, {22, 70}, {53, 101}, {52, 100}, {26, 74}, {55, 102}, {58, 104}, {59, 105}, {62, 108}, {63, 109}, {58, 110}, {31, 74}, {22, 64}, {23, 65}, {60, 106}, {61, 107}, {63, 105}, {22, 78}, {28, 68}, {27, 67}, {31, 70}, {24, 66}, {30, 69}, {62, 101}, {1, 92}, {52, 105}, {57, 103}, {9, 104}, {32, 65}, {25, 120}, {53, 87}, {44, 79}, {48, 83}, {56, 91}, {63, 92}, {28, 120}, {25, 124}, {51, 86}, {49, 84}, {43, 78}, {41, 76}, {18, 117}, {50, 85}, {42, 77}, {32, 71}, {43, 67}, {33, 72}, {29, 119}, {54, 92}, {35, 73}, {33, 75}, {8, 99}, {11, 101}, {55, 89}, {54, 88}, {51, 93}, {37, 75}, {36, 74}, {24, 119}, {27, 116}, {42, 90}, {59, 72}, {2, 118}, {40, 94}, {28, 107}, {35, 84}, {29, 106}, {34, 90}, {46, 86}, {37, 93}, {38, 95}, {20, 110}, {47, 85}, {36, 94}, {14, 114}, {45, 80}, {48, 77}, {47, 82}, {13, 115}, {27, 101}, {62, 64}, {46, 81}, {61, 66}, {7, 135}, {17, 147}, {5, 134}, {19, 154}, {15, 130}, {21, 133}, {6, 146}, {30, 138}, {12, 153}, {23, 136}, {44, 140}, {57, 153}, {47, 140}, {42, 142}, {49, 149}, {50, 151}, {32, 137}, {37, 143}, {33, 138}, {56, 148}, {34, 145}, {35, 144}, {41, 158}, {51, 139}, {48, 137}, {36, 152}, {46, 144}, {64, 129}, {71, 128}, {81, 152}, {74, 129}, {79, 131}, {77, 128}, {109, 160}, {76, 130}, {66, 141}, {83, 156}, {84, 132}, {95, 142}, {87, 133}, {73, 157}, {81, 132}, {85, 131}, {94, 136}, {95, 137}, {72, 159}, {94, 137}, {71, 158}, {79, 150}, {93, 135}, {90, 134}, {68, 154}, {69, 155}, {103, 135}, {107, 136}, {118, 149}, {115, 151}, {126, 154}, {125, 153}, {106, 143}, {104, 142}, {116, 146}, {113, 150}, {123, 146}, {96, 138}, {126, 148}, {97, 139}, {109, 134}, {112, 156}, {127, 147}, {117, 152}, {122, 151}, {98, 140}, {99, 141}, {96, 143}, {124, 147}, {111, 159}, {97, 144}, {123, 138}, {82, 160}, {100, 150}, {98, 145}, {122, 140}, {108, 149}, {114, 139}, {103, 157}, {121, 131}, {108, 144}, {102, 155}, {110, 145} }>;

(II) A more general form is to represent the graph as the orbit of {150, 151} under the group generated by the following permutations:

a: (2, 92, 5, 77)(3, 78)(4, 101)(6, 63, 15, 48)(7, 84, 13, 43)(8, 53, 14, 62)(9, 40, 22, 75)(11, 65, 27, 39)(12, 54, 30, 42)(16, 20, 38, 26)(17, 35, 23, 67)(18, 44, 37, 19)(21, 32, 49, 52)(24, 85, 29, 91)(25, 86, 28, 89)(31, 105, 58, 137)(33, 34, 57, 64)(36, 113, 69, 142)(41, 117, 79, 143)(45, 121, 60, 144)(46, 50, 55, 56)(47, 51, 68, 66)(59, 110, 95, 74)(61, 140, 93, 154)(70, 127, 104, 94)(71, 149, 100, 133)(72, 145, 103, 129)(73, 136, 111, 147)(76, 125, 116, 96)(80, 131, 106, 97)(81, 151, 102, 148)(82, 139, 112, 141)(83, 146, 109, 130)(87, 114, 108, 99)(88, 138, 90, 153)(98, 135, 132, 115)(107, 122, 124, 126)(118, 123, 134, 128)(150, 155, 158, 152)(156, 159, 160, 157)
b: (1, 2, 118, 149, 108, 144, 97, 139, 114, 14, 4, 8, 99, 141, 131, 121, 87, 133, 134, 5)(3, 13, 115, 151, 122, 140, 98, 145, 110, 20, 10, 26, 74, 129, 132, 154, 126, 148, 135, 7)(6, 88, 49, 62, 35, 41, 157, 71, 57, 65, 18, 45, 66, 85, 55, 82, 155, 109, 30, 92)(9, 104, 142, 95, 137, 94, 136, 107, 28, 120, 25, 124, 147, 127, 105, 59, 113, 70, 22, 78)(11, 76, 130, 128, 153, 125, 117, 80, 24, 119, 29, 106, 143, 96, 138, 123, 146, 116, 27, 101)(12, 83, 152, 112, 46, 91, 51, 60, 37, 39, 33, 100, 159, 79, 67, 53, 21, 90, 15, 77)(16, 54, 31, 64, 84, 19, 73, 158, 103, 32, 40, 23, 61, 50, 89, 47, 102, 160, 69, 63)(17, 75, 52, 72, 150, 111, 44, 43, 34, 58, 42, 38, 48, 36, 156, 81, 68, 86, 56, 93)

(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[ 160, 50 ]
160
-1 77 2 92 5
-2 1 12 6 118
-3 13 7 40 75
-4 14 39 8 65
-5 1 134 15 30
-6 2 146 16 31
-7 3 135 17 32
-8 33 99 4 18
-9 34 78 104 19
-10 26 16 38 20
-11 35 101 21 76
-12 2 36 38 153
-13 23 3 115 52
-14 57 4 37 114
-15 58 5 38 130
-16 59 6 30 10
-17 147 60 39 7
-18 61 40 117 8
-19 154 62 41 9
-20 110 63 42 10
-21 11 133 58 43
-22 44 78 70 64
-23 45 13 136 65
-24 66 46 80 119
-25 56 47 124 120
-26 48 74 10 54
-27 67 101 49 116
-28 68 50 107 120
-29 55 51 106 119
-30 69 5 16 138
-31 70 49 6 74
-32 71 137 7 65
-33 72 138 8 75
-34 90 145 9 53
-35 11 144 73 84
-36 12 94 74 152
-37 143 14 93 75
-38 12 15 95 10
-39 4 17 52 96
-40 57 3 94 18
-41 158 19 97 76
-42 77 90 20 142
-43 67 78 21 98
-44 22 79 140 53
-45 99 23 80 50
-46 144 24 81 86
-47 25 82 85 140
-48 77 26 137 83
-49 27 149 84 31
-50 45 28 85 151
-51 93 29 139 86
-52 100 13 39 105
-53 44 34 101 87
-54 88 113 26 92
-55 121 89 102 29
-56 25 91 60 148
-57 14 103 40 153
-58 110 15 104 21
-59 113 16 72 105
-60 56 114 17 106
-61 66 115 18 107
-62 101 19 64 108
-63 92 105 20 109
-64 22 88 62 129
-65 23 4 125 32
-66 89 24 61 141
-67 121 111 27 43
-68 154 112 91 28
-69 110 155 127 30
-70 22 111 113 31
-71 114 158 128 32
-72 33 59 115 159
-73 35 157 104 126
-74 36 26 129 31
-75 33 3 37 127
-76 11 90 41 130
-77 1 48 128 42
-78 22 84 9 43
-79 44 116 150 131
-80 45 24 112 117
-81 132 46 107 152
-82 47 160 106 87
-83 156 48 125 118
-84 132 78 35 49
-85 47 50 119 131
-86 46 126 51 120
-87 121 133 82 53
-88 116 118 64 54
-89 55 66 122 120
-90 34 134 42 76
-91 56 68 97 119
-92 1 123 63 54
-93 124 135 37 51
-94 36 136 137 40
-95 103 38 137 142
-96 143 39 138 109
-97 144 91 139 41
-98 145 102 140 43
-99 45 100 8 141
-100 99 123 150 52
-101 11 27 62 53
-102 55 155 124 98
-103 57 135 157 95
-104 58 73 9 142
-105 59 127 52 63
-106 143 60 82 29
-107 81 136 28 61
-108 144 112 149 62
-109 134 160 63 96
-110 145 58 69 20
-111 67 122 70 159
-112 68 156 80 108
-113 59 70 150 54
-114 14 60 71 139
-115 13 61 72 151
-116 88 79 146 27
-117 80 125 18 152
-118 88 2 83 149
-119 24 91 29 85
-120 89 25 28 86
-121 55 67 87 131
-122 89 111 140 151
-123 100 146 92 138
-124 25 102 147 93
-125 83 117 65 153
-126 154 148 73 86
-127 69 147 105 75
-128 77 71 130 153
-129 132 156 74 64
-130 157 15 128 76
-131 121 79 85 141
-132 154 81 84 129
-133 155 134 21 87
-134 133 90 5 109
-135 103 93 148 7
-136 23 156 94 107
-137 48 94 95 32
-138 33 123 30 96
-139 157 114 51 97
-140 44 122 47 98
-141 66 99 159 131
-142 158 104 95 42
-143 155 37 106 96
-144 35 46 97 108
-145 110 34 160 98
-146 123 159 6 116
-147 124 17 127 160
-148 56 135 158 126
-149 49 118 108 152
-150 100 79 113 151
-151 122 115 50 150
-152 36 81 149 117
-153 12 57 125 128
-154 132 68 126 19
-155 143 133 69 102
-156 112 136 83 129
-157 103 73 139 130
-158 71 148 41 142
-159 111 146 72 141
-160 145 147 82 109
0

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