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On this page are computer-accessible forms for the graph C4[ 162, 11 ] = UG(ATD[162,7]).

(I) Following is a form readable by MAGMA:

g:=Graph<162|{ {14, 15}, {1, 3}, {157, 159}, {1, 2}, {52, 55}, {40, 43}, {4, 7}, {58, 62}, {147, 151}, {98, 102}, {99, 103}, {3, 6}, {51, 54}, {75, 78}, {81, 84}, {2, 4}, {35, 37}, {34, 36}, {80, 86}, {2, 5}, {146, 149}, {120, 127}, {18, 21}, {74, 77}, {5, 13}, {149, 157}, {135, 143}, {7, 15}, {6, 14}, {16, 25}, {129, 136}, {103, 110}, {3, 8}, {132, 143}, {20, 31}, {7, 12}, {84, 95}, {100, 104}, {130, 142}, {4, 9}, {19, 30}, {17, 28}, {6, 11}, {144, 158}, {5, 10}, {150, 153}, {133, 138}, {118, 121}, {23, 24}, {18, 29}, {106, 122}, {139, 154}, {140, 157}, {96, 114}, {132, 150}, {76, 95}, {12, 24}, {32, 52}, {15, 27}, {14, 26}, {13, 25}, {137, 156}, {41, 62}, {136, 159}, {109, 122}, {100, 115}, {8, 16}, {134, 158}, {131, 155}, {12, 20}, {11, 19}, {10, 18}, {9, 17}, {33, 56}, {141, 148}, {64, 89}, {44, 53}, {38, 63}, {37, 60}, {66, 91}, {68, 93}, {39, 61}, {133, 159}, {109, 119}, {107, 113}, {106, 112}, {33, 58}, {131, 152}, {130, 153}, {42, 49}, {34, 57}, {65, 90}, {69, 94}, {128, 156}, {134, 154}, {8, 21}, {11, 22}, {10, 23}, {38, 56}, {101, 123}, {9, 22}, {36, 59}, {67, 92}, {72, 87}, {30, 62}, {73, 105}, {76, 108}, {77, 109}, {78, 110}, {85, 117}, {91, 123}, {64, 98}, {68, 102}, {69, 103}, {72, 106}, {73, 107}, {82, 112}, {83, 113}, {91, 120}, {21, 49}, {65, 101}, {71, 98}, {88, 125}, {92, 121}, {79, 105}, {135, 161}, {82, 116}, {84, 115}, {93, 122}, {29, 53}, {31, 55}, {30, 54}, {26, 51}, {24, 50}, {86, 124}, {64, 107}, {11, 39}, {83, 127}, {88, 116}, {13, 32}, {80, 125}, {90, 119}, {15, 33}, {142, 160}, {28, 50}, {70, 104}, {89, 119}, {27, 52}, {141, 162}, {31, 48}, {80, 127}, {81, 126}, {89, 118}, {22, 38}, {145, 161}, {27, 43}, {26, 42}, {23, 39}, {20, 37}, {30, 47}, {28, 45}, {24, 41}, {16, 34}, {17, 35}, {66, 112}, {67, 113}, {78, 124}, {87, 101}, {18, 33}, {147, 160}, {29, 46}, {25, 44}, {21, 35}, {19, 36}, {74, 125}, {91, 108}, {77, 117}, {87, 111}, {152, 161}, {153, 162}, {28, 32}, {71, 123}, {19, 46}, {79, 114}, {7, 57}, {158, 160}, {156, 162}, {22, 40}, {13, 51}, {81, 111}, {25, 38}, {20, 85}, {1, 70}, {63, 116}, {12, 66}, {53, 96}, {55, 97}, {41, 126}, {58, 98}, {60, 100}, {59, 99}, {47, 114}, {61, 96}, {29, 67}, {58, 100}, {1, 94}, {62, 97}, {45, 76}, {40, 74}, {50, 80}, {47, 77}, {43, 73}, {42, 72}, {41, 75}, {40, 75}, {53, 81}, {55, 83}, {54, 82}, {61, 88}, {26, 124}, {32, 71}, {42, 64}, {63, 85}, {60, 86}, {47, 69}, {46, 68}, {43, 65}, {36, 72}, {37, 73}, {57, 84}, {44, 66}, {59, 85}, {49, 95}, {45, 67}, {56, 87}, {31, 111}, {63, 76}, {44, 89}, {48, 70}, {45, 90}, {56, 79}, {54, 65}, {2, 122}, {46, 86}, {27, 99}, {61, 71}, {49, 74}, {3, 127}, {50, 79}, {48, 78}, {17, 144}, {8, 138}, {23, 149}, {4, 143}, {5, 148}, {6, 151}, {9, 159}, {34, 128}, {52, 146}, {10, 160}, {14, 162}, {60, 147}, {16, 161}, {39, 145}, {57, 142}, {48, 137}, {35, 153}, {51, 136}, {59, 132}, {93, 156}, {94, 155}, {92, 155}, {69, 140}, {83, 158}, {68, 139}, {90, 138}, {95, 139}, {82, 135}, {70, 154}, {92, 128}, {93, 129}, {94, 130}, {75, 150}, {88, 133}, {104, 136}, {123, 155}, {113, 145}, {112, 144}, {102, 135}, {115, 146}, {97, 131}, {105, 139}, {99, 129}, {101, 134}, {118, 149}, {111, 140}, {96, 132}, {124, 152}, {110, 138}, {97, 133}, {108, 137}, {120, 157}, {126, 151}, {102, 140}, {105, 131}, {118, 154}, {120, 150}, {121, 151}, {117, 134}, {109, 152}, {116, 130}, {121, 143}, {103, 144}, {106, 146}, {117, 141}, {104, 145}, {119, 142}, {110, 148}, {114, 137}, {125, 128}, {115, 141}, {107, 148}, {126, 129}, {108, 147} }>;

(II) A more general form is to represent the graph as the orbit of {14, 15} under the group generated by the following permutations:

a: (1, 2, 5, 13, 32, 71, 123, 155, 94)(3, 4, 10, 25, 28, 61, 91, 92, 130)(6, 7, 18, 38, 50, 96, 108, 128, 153)(8, 9, 23, 44, 45, 88, 120, 121, 142)(11, 12, 29, 63, 80, 132, 147, 34, 35)(14, 15, 33, 56, 79, 114, 137, 156, 162)(16, 17, 39, 66, 67, 116, 127, 143, 160)(19, 20, 46, 85, 86, 59, 60, 36, 37)(21, 22, 24, 53, 76, 125, 150, 151, 57)(26, 27, 58, 87, 105, 47, 48, 93, 141)(30, 31, 68, 117, 124, 99, 100, 72, 73)(40, 41, 81, 95, 74, 75, 126, 84, 49)(42, 43, 62, 111, 139, 77, 78, 129, 115)(51, 52, 98, 101, 131, 69, 70, 122, 148)(54, 55, 102, 134, 152, 103, 104, 106, 107)(64, 65, 97, 140, 154, 109, 110, 136, 146)(82, 83, 135, 158, 161, 144, 145, 112, 113)(89, 90, 133, 157, 118, 119, 138, 159, 149)
b: (2, 94, 3, 70)(4, 155, 6, 154)(5, 69, 8, 48)(7, 123, 11, 139)(9, 131, 14, 134)(10, 140, 16, 137)(12, 71, 19, 95)(13, 47, 21, 31)(15, 101, 22, 105)(17, 97, 26, 117)(18, 111, 25, 114)(20, 32, 30, 49)(23, 102, 34, 108)(24, 98, 36, 76)(27, 65, 40, 73)(28, 62, 42, 85)(29, 81, 44, 96)(33, 87, 38, 79)(35, 55, 51, 77)(37, 52, 54, 74)(39, 68, 57, 91)(41, 64, 59, 45)(46, 84, 66, 61)(50, 58, 72, 63)(60, 146, 82, 125)(67, 126, 89, 132)(75, 107, 99, 90)(78, 148, 103, 138)(80, 100, 106, 116)(83, 136, 109, 153)(86, 115, 112, 88)(92, 151, 118, 143)(93, 142, 120, 145)(104, 122, 130, 127)(113, 129, 119, 150)(124, 141, 144, 133)(128, 147, 149, 135)(152, 162, 158, 159)(156, 160, 157, 161)
c: (2, 94)(3, 70)(4, 69)(5, 155)(6, 48)(7, 47)(8, 154)(9, 140)(10, 131)(11, 31)(12, 30)(13, 123)(14, 137)(15, 114)(16, 134)(17, 102)(18, 105)(19, 20)(21, 139)(22, 111)(23, 97)(24, 62)(25, 101)(26, 108)(27, 96)(28, 98)(29, 73)(32, 71)(33, 79)(34, 117)(35, 68)(36, 85)(37, 46)(38, 87)(39, 55)(40, 81)(42, 76)(43, 53)(44, 65)(45, 64)(49, 95)(50, 58)(51, 91)(52, 61)(54, 66)(57, 77)(60, 86)(63, 72)(67, 107)(74, 84)(75, 126)(78, 151)(80, 100)(82, 112)(83, 145)(88, 146)(89, 90)(92, 148)(93, 153)(99, 132)(103, 143)(104, 127)(106, 116)(109, 142)(110, 121)(115, 125)(118, 138)(120, 136)(122, 130)(124, 147)(128, 141)(129, 150)(133, 149)(135, 144)(152, 160)(156, 162)(157, 159)(158, 161)

(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[ 162, 11 ]
162
-1 2 3 70 94
-2 1 122 4 5
-3 1 6 127 8
-4 143 2 7 9
-5 2 13 148 10
-6 11 3 14 151
-7 12 57 4 15
-8 3 16 138 21
-9 22 4 159 17
-10 23 5 160 18
-11 22 6 39 19
-12 66 24 7 20
-13 25 5 51 32
-14 15 26 6 162
-15 33 14 27 7
-16 34 25 161 8
-17 144 35 28 9
-18 33 29 10 21
-19 11 46 36 30
-20 12 37 85 31
-21 35 49 18 8
-22 11 38 40 9
-23 24 39 149 10
-24 12 23 50 41
-25 44 13 16 38
-26 14 124 51 42
-27 99 15 52 43
-28 45 17 50 32
-29 67 46 18 53
-30 47 62 19 54
-31 55 111 48 20
-32 13 71 28 52
-33 56 58 15 18
-34 57 36 16 128
-35 37 17 21 153
-36 34 59 72 19
-37 35 60 73 20
-38 22 56 25 63
-39 11 23 145 61
-40 22 74 75 43
-41 24 126 62 75
-42 26 49 72 64
-43 27 40 73 65
-44 66 89 25 53
-45 67 90 28 76
-46 68 29 19 86
-47 77 69 114 30
-48 78 70 137 31
-49 95 74 42 21
-50 24 79 80 28
-51 13 26 136 54
-52 55 146 27 32
-53 44 81 29 96
-54 82 51 30 65
-55 83 52 31 97
-56 33 79 38 87
-57 34 7 84 142
-58 33 100 62 98
-59 99 132 36 85
-60 100 37 147 86
-61 88 71 39 96
-62 58 30 41 97
-63 38 116 85 76
-64 89 107 42 98
-65 90 101 43 54
-66 44 12 112 91
-67 45 113 92 29
-68 46 102 93 139
-69 47 103 94 140
-70 154 1 48 104
-71 123 61 32 98
-72 36 106 42 87
-73 37 105 107 43
-74 77 125 49 40
-75 78 40 150 41
-76 45 95 63 108
-77 47 117 74 109
-78 110 124 48 75
-79 56 114 50 105
-80 125 50 127 86
-81 111 126 84 53
-82 112 135 116 54
-83 55 113 158 127
-84 57 81 115 95
-85 59 117 63 20
-86 46 80 124 60
-87 56 111 101 72
-88 133 125 61 116
-89 44 118 64 119
-90 45 138 119 65
-91 66 123 108 120
-92 121 67 155 128
-93 122 68 156 129
-94 1 155 69 130
-95 49 84 139 76
-96 132 114 61 53
-97 55 133 62 131
-98 58 102 71 64
-99 59 103 27 129
-100 58 60 104 115
-101 123 134 65 87
-102 68 135 140 98
-103 99 110 144 69
-104 100 145 70 136
-105 79 73 139 131
-106 122 112 146 72
-107 113 148 73 64
-108 91 147 137 76
-109 77 122 119 152
-110 78 103 148 138
-111 81 140 31 87
-112 66 144 82 106
-113 67 145 83 107
-114 79 47 137 96
-115 100 146 84 141
-116 88 82 63 130
-117 77 134 85 141
-118 121 154 89 149
-119 89 90 109 142
-120 91 157 127 150
-121 143 92 118 151
-122 2 93 106 109
-123 155 101 91 71
-124 78 26 86 152
-125 88 80 128 74
-126 81 41 129 151
-127 3 80 83 120
-128 34 156 92 125
-129 99 136 93 126
-130 94 116 142 153
-131 155 105 97 152
-132 143 59 150 96
-133 88 159 138 97
-134 154 101 158 117
-135 143 102 82 161
-136 104 159 51 129
-137 156 48 114 108
-138 110 133 90 8
-139 154 68 105 95
-140 111 69 102 157
-141 115 148 117 162
-142 57 160 119 130
-143 121 132 135 4
-144 112 103 158 17
-145 113 104 39 161
-146 115 149 106 52
-147 60 160 151 108
-148 110 5 107 141
-149 23 146 157 118
-150 132 75 120 153
-151 121 147 126 6
-152 124 161 109 131
-153 35 150 162 130
-154 134 70 139 118
-155 123 92 94 131
-156 93 137 128 162
-157 159 149 140 120
-158 144 134 83 160
-159 133 157 136 9
-160 147 158 10 142
-161 145 135 16 152
-162 156 14 141 153
0

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