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On this page are computer-accessible forms for the graph C4[ 160, 47 ] = UG(ATD[160,11]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {128, 129} under the group generated by the following permutations:

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

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

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