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On this page are computer-accessible forms for the graph C4[ 160, 56 ] = UG(ATD[160,72]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {152, 153} under the group generated by the following permutations:

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

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

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