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On this page are computer-accessible forms for the graph C4[ 160, 52 ] = UG(ATD[160,64]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {30, 31} under the group generated by the following permutations:

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

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

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