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On this page are computer-accessible forms for the graph C4[ 170, 3 ] = C_170(1,47).

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

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