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On this page are computer-accessible forms for the graph C4[ 170, 4 ] = C_170(1,69).

(I) Following is a form readable by MAGMA:

g:=Graph<170|{ {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}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {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}, {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}, {1, 2}, {169, 170}, {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}, {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}, {105, 106}, {3, 4}, {163, 164}, {155, 156}, {147, 148}, {139, 140}, {131, 132}, {123, 124}, {115, 116}, {51, 52}, {43, 44}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {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}, {2, 71}, {50, 119}, {48, 117}, {42, 111}, {40, 109}, {8, 77}, {10, 79}, {16, 85}, {18, 87}, {24, 93}, {26, 95}, {32, 101}, {34, 103}, {56, 125}, {58, 127}, {1, 70}, {49, 118}, {41, 110}, {9, 78}, {17, 86}, {25, 94}, {33, 102}, {57, 126}, {3, 72}, {51, 120}, {39, 108}, {35, 104}, {7, 76}, {19, 88}, {23, 92}, {55, 124}, {4, 73}, {54, 123}, {52, 121}, {38, 107}, {36, 105}, {6, 75}, {20, 89}, {22, 91}, {5, 74}, {53, 122}, {37, 106}, {21, 90}, {11, 80}, {47, 116}, {43, 112}, {15, 84}, {12, 81}, {46, 115}, {44, 113}, {14, 83}, {13, 82}, {45, 114}, {2, 103}, {8, 109}, {10, 111}, {16, 117}, {18, 119}, {24, 125}, {26, 127}, {1, 102}, {9, 110}, {17, 118}, {25, 126}, {3, 104}, {7, 108}, {19, 120}, {23, 124}, {4, 105}, {6, 107}, {20, 121}, {22, 123}, {5, 106}, {21, 122}, {11, 112}, {15, 116}, {27, 96}, {31, 100}, {12, 113}, {14, 115}, {28, 97}, {30, 99}, {13, 114}, {29, 98}, {63, 64}, {27, 128}, {31, 132}, {59, 160}, {63, 164}, {28, 129}, {30, 131}, {60, 161}, {62, 163}, {29, 130}, {61, 162}, {32, 133}, {50, 151}, {48, 149}, {42, 143}, {40, 141}, {34, 135}, {56, 157}, {58, 159}, {33, 134}, {49, 150}, {41, 142}, {57, 158}, {1, 170}, {51, 152}, {39, 140}, {35, 136}, {55, 156}, {36, 137}, {54, 155}, {52, 153}, {38, 139}, {37, 138}, {53, 154}, {43, 144}, {47, 148}, {59, 128}, {63, 132}, {44, 145}, {46, 147}, {60, 129}, {62, 131}, {45, 146}, {61, 130}, {64, 133}, {66, 135}, {72, 141}, {74, 143}, {80, 149}, {82, 151}, {88, 157}, {90, 159}, {96, 165}, {98, 167}, {65, 134}, {73, 142}, {81, 150}, {89, 158}, {97, 166}, {67, 136}, {71, 140}, {83, 152}, {87, 156}, {99, 168}, {68, 137}, {70, 139}, {84, 153}, {86, 155}, {100, 169}, {69, 138}, {85, 154}, {101, 170}, {75, 144}, {79, 148}, {76, 145}, {78, 147}, {77, 146}, {64, 165}, {66, 167}, {65, 166}, {67, 168}, {68, 169}, {69, 170}, {91, 160}, {95, 164}, {92, 161}, {94, 163}, {93, 162}, {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, 102)(3, 33)(4, 134)(5, 65)(6, 166)(7, 97)(8, 28)(9, 129)(10, 60)(11, 161)(12, 92)(13, 23)(14, 124)(15, 55)(16, 156)(17, 87)(19, 119)(20, 50)(21, 151)(22, 82)(24, 114)(25, 45)(26, 146)(27, 77)(29, 109)(30, 40)(31, 141)(32, 72)(34, 104)(36, 136)(37, 67)(38, 168)(39, 99)(41, 131)(42, 62)(43, 163)(44, 94)(46, 126)(47, 57)(48, 158)(49, 89)(51, 121)(53, 153)(54, 84)(56, 116)(58, 148)(59, 79)(61, 111)(63, 143)(64, 74)(66, 106)(68, 138)(70, 170)(71, 101)(73, 133)(75, 165)(76, 96)(78, 128)(80, 160)(81, 91)(83, 123)(85, 155)(88, 118)(90, 150)(93, 113)(95, 145)(98, 108)(100, 140)(105, 135)(107, 167)(110, 130)(112, 162)(115, 125)(117, 157)(122, 152)(127, 147)(132, 142)(139, 169)(144, 164)(149, 159)
b: (2, 70)(3, 139)(4, 38)(5, 107)(7, 75)(8, 144)(9, 43)(10, 112)(12, 80)(13, 149)(14, 48)(15, 117)(17, 85)(18, 154)(19, 53)(20, 122)(22, 90)(23, 159)(24, 58)(25, 127)(27, 95)(28, 164)(29, 63)(30, 132)(32, 100)(33, 169)(34, 68)(35, 137)(37, 105)(39, 73)(40, 142)(42, 110)(44, 78)(45, 147)(47, 115)(49, 83)(50, 152)(52, 120)(54, 88)(55, 157)(57, 125)(59, 93)(60, 162)(62, 130)(64, 98)(65, 167)(67, 135)(69, 103)(72, 140)(74, 108)(77, 145)(79, 113)(82, 150)(84, 118)(87, 155)(89, 123)(92, 160)(94, 128)(97, 165)(99, 133)(102, 170)(104, 138)(109, 143)(114, 148)(119, 153)(124, 158)(129, 163)(134, 168)
c: (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, 170)

(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[ 170, 4 ]
170
-1 2 102 70 170
-2 1 3 103 71
-3 2 4 104 72
-4 3 5 105 73
-5 4 6 106 74
-6 5 7 107 75
-7 6 8 108 76
-8 77 7 9 109
-9 110 78 8 10
-10 11 111 79 9
-11 12 112 80 10
-12 11 13 113 81
-13 12 14 114 82
-14 13 15 115 83
-15 14 16 116 84
-16 15 17 117 85
-17 16 18 118 86
-18 17 19 119 87
-19 88 18 20 120
-20 121 89 19 21
-21 22 122 90 20
-22 23 123 91 21
-23 22 24 124 92
-24 23 25 125 93
-25 24 26 126 94
-26 25 27 127 95
-27 26 28 128 96
-28 27 29 129 97
-29 28 30 130 98
-30 99 29 31 131
-31 132 100 30 32
-32 33 133 101 31
-33 34 134 102 32
-34 33 35 135 103
-35 34 36 136 104
-36 35 37 137 105
-37 36 38 138 106
-38 37 39 139 107
-39 38 40 140 108
-40 39 41 141 109
-41 110 40 42 142
-42 143 111 41 43
-43 44 144 112 42
-44 45 145 113 43
-45 44 46 146 114
-46 45 47 147 115
-47 46 48 148 116
-48 47 49 149 117
-49 48 50 150 118
-50 49 51 151 119
-51 50 52 152 120
-52 121 51 53 153
-53 154 122 52 54
-54 55 155 123 53
-55 56 156 124 54
-56 55 57 157 125
-57 56 58 158 126
-58 57 59 159 127
-59 58 60 160 128
-60 59 61 161 129
-61 60 62 162 130
-62 61 63 163 131
-63 132 62 64 164
-64 165 133 63 65
-65 66 166 134 64
-66 67 167 135 65
-67 66 68 168 136
-68 67 69 169 137
-69 68 70 170 138
-70 1 69 71 139
-71 2 70 72 140
-72 3 71 73 141
-73 4 72 74 142
-74 143 5 73 75
-75 144 6 74 76
-76 77 145 7 75
-77 78 146 8 76
-78 77 79 147 9
-79 78 80 148 10
-80 11 79 81 149
-81 12 80 82 150
-82 13 81 83 151
-83 14 82 84 152
-84 15 83 85 153
-85 154 16 84 86
-86 155 17 85 87
-87 88 156 18 86
-88 89 157 19 87
-89 88 90 158 20
-90 89 91 159 21
-91 22 90 92 160
-92 23 91 93 161
-93 24 92 94 162
-94 25 93 95 163
-95 26 94 96 164
-96 165 27 95 97
-97 166 28 96 98
-98 99 167 29 97
-99 100 168 30 98
-100 99 101 169 31
-101 100 102 170 32
-102 33 1 101 103
-103 34 2 102 104
-104 35 3 103 105
-105 36 4 104 106
-106 37 5 105 107
-107 38 6 106 108
-108 39 7 107 109
-109 110 40 8 108
-110 111 41 9 109
-111 110 112 42 10
-112 11 111 113 43
-113 44 12 112 114
-114 45 13 113 115
-115 46 14 114 116
-116 47 15 115 117
-117 48 16 116 118
-118 49 17 117 119
-119 50 18 118 120
-120 121 51 19 119
-121 122 52 20 120
-122 121 123 53 21
-123 22 122 124 54
-124 55 23 123 125
-125 56 24 124 126
-126 57 25 125 127
-127 58 26 126 128
-128 59 27 127 129
-129 60 28 128 130
-130 61 29 129 131
-131 132 62 30 130
-132 133 63 31 131
-133 132 134 64 32
-134 33 133 135 65
-135 66 34 134 136
-136 67 35 135 137
-137 68 36 136 138
-138 69 37 137 139
-139 70 38 138 140
-140 71 39 139 141
-141 72 40 140 142
-142 143 73 41 141
-143 144 74 42 142
-144 143 145 75 43
-145 44 144 146 76
-146 77 45 145 147
-147 78 46 146 148
-148 79 47 147 149
-149 80 48 148 150
-150 81 49 149 151
-151 82 50 150 152
-152 83 51 151 153
-153 154 84 52 152
-154 155 85 53 153
-155 154 156 86 54
-156 55 155 157 87
-157 88 56 156 158
-158 89 57 157 159
-159 90 58 158 160
-160 91 59 159 161
-161 92 60 160 162
-162 93 61 161 163
-163 94 62 162 164
-164 165 95 63 163
-165 166 96 64 164
-166 165 167 97 65
-167 66 166 168 98
-168 99 67 167 169
-169 100 68 168 170
-170 1 101 69 169
0

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