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On this page are computer-accessible forms for the graph C4[ 169, 1 ] = C_169(1,70).

(I) Following is a form readable by MAGMA:

g:=Graph<169|{ {2, 3}, {168, 169}, {166, 167}, {164, 165}, {162, 163}, {160, 161}, {158, 159}, {156, 157}, {154, 155}, {152, 153}, {150, 151}, {148, 149}, {146, 147}, {144, 145}, {142, 143}, {140, 141}, {138, 139}, {136, 137}, {134, 135}, {132, 133}, {130, 131}, {128, 129}, {126, 127}, {124, 125}, {122, 123}, {120, 121}, {118, 119}, {116, 117}, {114, 115}, {112, 113}, {110, 111}, {108, 109}, {106, 107}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {54, 55}, {56, 57}, {58, 59}, {60, 61}, {62, 63}, {64, 65}, {66, 67}, {68, 69}, {70, 71}, {72, 73}, {74, 75}, {76, 77}, {78, 79}, {80, 81}, {82, 83}, {84, 85}, {86, 87}, {88, 89}, {90, 91}, {92, 93}, {94, 95}, {96, 97}, {98, 99}, {100, 101}, {102, 103}, {104, 105}, {1, 2}, {165, 166}, {161, 162}, {157, 158}, {153, 154}, {149, 150}, {145, 146}, {141, 142}, {137, 138}, {133, 134}, {129, 130}, {125, 126}, {121, 122}, {117, 118}, {113, 114}, {109, 110}, {105, 106}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {37, 38}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {57, 58}, {61, 62}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {3, 4}, {163, 164}, {155, 156}, {147, 148}, {139, 140}, {131, 132}, {123, 124}, {115, 116}, {107, 108}, {51, 52}, {43, 44}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {7, 8}, {167, 168}, {151, 152}, {135, 136}, {119, 120}, {39, 40}, {23, 24}, {55, 56}, {71, 72}, {87, 88}, {103, 104}, {15, 16}, {143, 144}, {111, 112}, {47, 48}, {79, 80}, {31, 32}, {159, 160}, {95, 96}, {1, 71}, {49, 119}, {48, 118}, {41, 111}, {40, 110}, {33, 103}, {8, 78}, {9, 79}, {16, 86}, {17, 87}, {24, 94}, {25, 95}, {32, 102}, {56, 126}, {57, 127}, {2, 72}, {51, 121}, {50, 120}, {39, 109}, {38, 108}, {35, 105}, {34, 104}, {3, 73}, {6, 76}, {7, 77}, {18, 88}, {19, 89}, {22, 92}, {23, 93}, {54, 124}, {55, 125}, {4, 74}, {53, 123}, {52, 122}, {37, 107}, {36, 106}, {5, 75}, {20, 90}, {21, 91}, {10, 80}, {47, 117}, {46, 116}, {43, 113}, {42, 112}, {11, 81}, {14, 84}, {15, 85}, {12, 82}, {45, 115}, {44, 114}, {13, 83}, {4, 103}, {8, 107}, {12, 111}, {16, 115}, {20, 119}, {24, 123}, {28, 127}, {1, 100}, {3, 102}, {9, 108}, {11, 110}, {17, 116}, {19, 118}, {25, 124}, {27, 126}, {2, 101}, {10, 109}, {18, 117}, {26, 125}, {5, 104}, {7, 106}, {21, 120}, {23, 122}, {6, 105}, {22, 121}, {26, 96}, {27, 97}, {30, 100}, {31, 101}, {13, 112}, {15, 114}, {28, 98}, {29, 99}, {14, 113}, {63, 64}, {29, 128}, {31, 130}, {61, 160}, {63, 162}, {30, 129}, {62, 161}, {32, 131}, {52, 151}, {48, 147}, {44, 143}, {40, 139}, {36, 135}, {56, 155}, {60, 159}, {33, 132}, {51, 150}, {49, 148}, {43, 142}, {41, 140}, {35, 134}, {57, 156}, {59, 158}, {34, 133}, {50, 149}, {42, 141}, {58, 157}, {1, 169}, {37, 136}, {53, 152}, {39, 138}, {55, 154}, {38, 137}, {54, 153}, {58, 128}, {59, 129}, {62, 132}, {63, 133}, {45, 144}, {47, 146}, {60, 130}, {61, 131}, {46, 145}, {64, 134}, {65, 135}, {72, 142}, {73, 143}, {80, 150}, {81, 151}, {88, 158}, {89, 159}, {96, 166}, {97, 167}, {66, 136}, {67, 137}, {70, 140}, {71, 141}, {82, 152}, {83, 153}, {86, 156}, {87, 157}, {98, 168}, {99, 169}, {68, 138}, {69, 139}, {84, 154}, {85, 155}, {74, 144}, {75, 145}, {78, 148}, {79, 149}, {76, 146}, {77, 147}, {64, 163}, {68, 167}, {65, 164}, {67, 166}, {66, 165}, {69, 168}, {70, 169}, {90, 160}, {91, 161}, {94, 164}, {95, 165}, {92, 162}, {93, 163}, {127, 128} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (2, 71, 169, 100)(3, 141, 168, 30)(4, 42, 167, 129)(5, 112, 166, 59)(6, 13, 165, 158)(7, 83, 164, 88)(8, 153, 163, 18)(9, 54, 162, 117)(10, 124, 161, 47)(11, 25, 160, 146)(12, 95, 159, 76)(14, 66, 157, 105)(15, 136, 156, 35)(16, 37, 155, 134)(17, 107, 154, 64)(19, 78, 152, 93)(20, 148, 151, 23)(21, 49, 150, 122)(22, 119, 149, 52)(24, 90, 147, 81)(26, 61, 145, 110)(27, 131, 144, 40)(28, 32, 143, 139)(29, 102, 142, 69)(31, 73, 140, 98)(33, 44, 138, 127)(34, 114, 137, 57)(36, 85, 135, 86)(38, 56, 133, 115)(39, 126, 132, 45)(41, 97, 130, 74)(43, 68, 128, 103)(46, 109, 125, 62)(48, 80, 123, 91)(50, 51, 121, 120)(53, 92, 118, 79)(55, 63, 116, 108)(58, 104, 113, 67)(60, 75, 111, 96)(65, 87, 106, 84)(70, 99, 101, 72)(77, 82, 94, 89)
b: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169)

(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[ 169, 1 ]
169
-1 100 2 169 71
-2 1 101 3 72
-3 2 102 4 73
-4 3 103 5 74
-5 4 104 6 75
-6 5 105 7 76
-7 77 6 106 8
-8 78 7 107 9
-9 79 8 108 10
-10 11 80 9 109
-11 110 12 81 10
-12 11 111 13 82
-13 12 112 14 83
-14 13 113 15 84
-15 14 114 16 85
-16 15 115 17 86
-17 16 116 18 87
-18 88 17 117 19
-19 89 18 118 20
-20 90 19 119 21
-21 22 91 20 120
-22 121 23 92 21
-23 22 122 24 93
-24 23 123 25 94
-25 24 124 26 95
-26 25 125 27 96
-27 26 126 28 97
-28 27 127 29 98
-29 99 28 128 30
-30 100 29 129 31
-31 101 30 130 32
-32 33 102 31 131
-33 132 34 103 32
-34 33 133 35 104
-35 34 134 36 105
-36 35 135 37 106
-37 36 136 38 107
-38 37 137 39 108
-39 38 138 40 109
-40 110 39 139 41
-41 111 40 140 42
-42 112 41 141 43
-43 44 113 42 142
-44 143 45 114 43
-45 44 144 46 115
-46 45 145 47 116
-47 46 146 48 117
-48 47 147 49 118
-49 48 148 50 119
-50 49 149 51 120
-51 121 50 150 52
-52 122 51 151 53
-53 123 52 152 54
-54 55 124 53 153
-55 154 56 125 54
-56 55 155 57 126
-57 56 156 58 127
-58 57 157 59 128
-59 58 158 60 129
-60 59 159 61 130
-61 60 160 62 131
-62 132 61 161 63
-63 133 62 162 64
-64 134 63 163 65
-65 66 135 64 164
-66 165 67 136 65
-67 66 166 68 137
-68 67 167 69 138
-69 68 168 70 139
-70 69 169 71 140
-71 1 70 72 141
-72 2 71 73 142
-73 143 3 72 74
-74 144 4 73 75
-75 145 5 74 76
-76 77 146 6 75
-77 78 147 7 76
-78 77 79 148 8
-79 78 80 149 9
-80 79 81 150 10
-81 11 80 82 151
-82 12 81 83 152
-83 13 82 84 153
-84 154 14 83 85
-85 155 15 84 86
-86 156 16 85 87
-87 88 157 17 86
-88 89 158 18 87
-89 88 90 159 19
-90 89 91 160 20
-91 90 92 161 21
-92 22 91 93 162
-93 23 92 94 163
-94 24 93 95 164
-95 165 25 94 96
-96 166 26 95 97
-97 167 27 96 98
-98 99 168 28 97
-99 100 169 29 98
-100 99 1 101 30
-101 100 2 102 31
-102 101 3 103 32
-103 33 102 4 104
-104 34 103 5 105
-105 35 104 6 106
-106 36 105 7 107
-107 37 106 8 108
-108 38 107 9 109
-109 110 39 108 10
-110 11 111 40 109
-111 110 12 112 41
-112 111 13 113 42
-113 112 14 114 43
-114 44 113 15 115
-115 45 114 16 116
-116 46 115 17 117
-117 47 116 18 118
-118 48 117 19 119
-119 49 118 20 120
-120 121 50 119 21
-121 22 122 51 120
-122 121 23 123 52
-123 122 24 124 53
-124 123 25 125 54
-125 55 124 26 126
-126 56 125 27 127
-127 57 126 28 128
-128 58 127 29 129
-129 59 128 30 130
-130 60 129 31 131
-131 132 61 130 32
-132 33 133 62 131
-133 132 34 134 63
-134 133 35 135 64
-135 134 36 136 65
-136 66 135 37 137
-137 67 136 38 138
-138 68 137 39 139
-139 69 138 40 140
-140 70 139 41 141
-141 71 140 42 142
-142 143 72 141 43
-143 44 144 73 142
-144 143 45 145 74
-145 144 46 146 75
-146 145 47 147 76
-147 77 146 48 148
-148 78 147 49 149
-149 79 148 50 150
-150 80 149 51 151
-151 81 150 52 152
-152 82 151 53 153
-153 154 83 152 54
-154 55 155 84 153
-155 154 56 156 85
-156 155 57 157 86
-157 156 58 158 87
-158 88 157 59 159
-159 89 158 60 160
-160 90 159 61 161
-161 91 160 62 162
-162 92 161 63 163
-163 93 162 64 164
-164 165 94 163 65
-165 66 166 95 164
-166 165 67 167 96
-167 166 68 168 97
-168 167 69 169 98
-169 99 1 168 70
0

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