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On this page are computer-accessible forms for the graph C4[ 162, 17 ] = UG(ATD[162,29]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {129, 131} under the group generated by the following permutations:

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

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

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