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On this page are computer-accessible forms for the graph C4[ 160, 46 ] = UG(ATD[160,1]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {48, 52} under the group generated by the following permutations:

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

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

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