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On this page are computer-accessible forms for the graph C4[ 160, 55 ] = UG(ATD[160,70]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {8, 9} under the group generated by the following permutations:

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

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

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