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On this page are computer-accessible forms for the graph C4[ 170, 6 ] = PS(10,17;4).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {17, 18} under the group generated by the following permutations:

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

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