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On this page are computer-accessible forms for the graph C4[ 160, 53 ] = UG(ATD[160,66]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {10, 11} under the group generated by the following permutations:

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

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