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On this page are computer-accessible forms for the graph C4[ 182, 3 ] = PS(14,13;5).

(I) Following is a form readable by MAGMA:

g:=Graph<182|{ {13, 14}, {169, 170}, {65, 66}, {117, 118}, {24, 29}, {154, 159}, {152, 157}, {74, 79}, {50, 55}, {48, 53}, {26, 31}, {104, 109}, {128, 133}, {130, 135}, {25, 30}, {153, 158}, {49, 54}, {91, 92}, {129, 134}, {19, 27}, {151, 159}, {150, 158}, {149, 157}, {71, 79}, {52, 60}, {51, 59}, {50, 58}, {49, 57}, {48, 56}, {20, 28}, {21, 29}, {22, 30}, {23, 31}, {97, 105}, {98, 106}, {99, 107}, {100, 108}, {101, 109}, {102, 110}, {103, 111}, {128, 136}, {129, 137}, {130, 138}, {23, 28}, {51, 56}, {103, 108}, {2, 14}, {163, 175}, {162, 174}, {161, 173}, {160, 172}, {65, 77}, {64, 76}, {3, 15}, {32, 44}, {33, 45}, {34, 46}, {35, 47}, {80, 92}, {81, 93}, {82, 94}, {83, 95}, {112, 124}, {113, 125}, {114, 126}, {115, 127}, {22, 27}, {52, 57}, {100, 105}, {102, 107}, {1, 15}, {161, 175}, {160, 174}, {64, 78}, {32, 46}, {33, 47}, {80, 94}, {81, 95}, {112, 126}, {113, 127}, {39, 40}, {101, 106}, {2, 16}, {167, 181}, {166, 180}, {163, 177}, {162, 176}, {142, 156}, {139, 153}, {138, 152}, {135, 149}, {73, 91}, {72, 90}, {69, 87}, {68, 86}, {3, 17}, {6, 20}, {7, 21}, {10, 24}, {11, 25}, {34, 48}, {35, 49}, {38, 52}, {40, 58}, {41, 59}, {44, 62}, {45, 63}, {79, 93}, {96, 114}, {97, 115}, {106, 120}, {107, 121}, {110, 124}, {111, 125}, {131, 145}, {134, 148}, {4, 16}, {167, 179}, {166, 178}, {165, 177}, {164, 176}, {143, 155}, {142, 154}, {141, 153}, {140, 152}, {5, 17}, {6, 18}, {7, 19}, {12, 24}, {13, 25}, {36, 48}, {37, 49}, {38, 50}, {39, 51}, {108, 120}, {109, 121}, {110, 122}, {111, 123}, {132, 144}, {133, 145}, {134, 146}, {135, 147}, {40, 61}, {66, 87}, {42, 63}, {96, 117}, {4, 18}, {165, 179}, {164, 178}, {141, 155}, {140, 154}, {67, 85}, {66, 84}, {5, 19}, {12, 26}, {36, 50}, {37, 51}, {42, 60}, {43, 61}, {98, 116}, {99, 117}, {108, 122}, {109, 123}, {132, 146}, {133, 147}, {41, 62}, {45, 53}, {78, 86}, {77, 85}, {76, 84}, {75, 83}, {74, 82}, {73, 81}, {72, 80}, {47, 55}, {46, 54}, {104, 112}, {1, 26}, {75, 80}, {67, 88}, {8, 20}, {169, 181}, {168, 180}, {139, 151}, {138, 150}, {137, 149}, {136, 148}, {9, 21}, {10, 22}, {11, 23}, {106, 118}, {107, 119}, {68, 89}, {78, 83}, {76, 81}, {70, 91}, {8, 22}, {168, 182}, {137, 151}, {136, 150}, {71, 89}, {70, 88}, {9, 23}, {105, 119}, {69, 90}, {143, 144}, {77, 82}, {131, 156}, {79, 104}, {15, 36}, {157, 182}, {95, 116}, {14, 35}, {92, 113}, {94, 115}, {14, 32}, {15, 33}, {94, 112}, {95, 113}, {27, 52}, {93, 114}, {16, 34}, {159, 173}, {158, 172}, {149, 167}, {148, 166}, {145, 163}, {144, 162}, {17, 35}, {20, 38}, {21, 39}, {27, 41}, {30, 44}, {31, 45}, {82, 96}, {83, 97}, {86, 100}, {87, 101}, {90, 104}, {92, 110}, {93, 111}, {28, 40}, {159, 171}, {158, 170}, {29, 41}, {30, 42}, {31, 43}, {84, 96}, {85, 97}, {86, 98}, {87, 99}, {16, 37}, {146, 167}, {144, 165}, {18, 39}, {18, 36}, {157, 171}, {147, 165}, {146, 164}, {19, 37}, {28, 42}, {29, 43}, {84, 98}, {85, 99}, {17, 38}, {145, 166}, {24, 32}, {156, 164}, {155, 163}, {154, 162}, {153, 161}, {152, 160}, {25, 33}, {26, 34}, {147, 168}, {155, 160}, {88, 100}, {89, 101}, {90, 102}, {91, 103}, {148, 169}, {156, 161}, {88, 102}, {151, 169}, {150, 168}, {89, 103}, {43, 64}, {44, 65}, {46, 64}, {47, 65}, {54, 68}, {63, 77}, {62, 76}, {59, 73}, {58, 72}, {55, 69}, {54, 66}, {63, 75}, {62, 74}, {61, 73}, {60, 72}, {55, 67}, {53, 67}, {61, 75}, {60, 74}, {53, 78}, {56, 68}, {59, 71}, {58, 70}, {57, 69}, {56, 70}, {57, 71}, {10, 171}, {12, 173}, {9, 170}, {13, 174}, {8, 172}, {9, 173}, {10, 174}, {11, 175}, {11, 172}, {6, 170}, {7, 171}, {1, 175}, {2, 179}, {4, 181}, {2, 176}, {3, 177}, {6, 180}, {7, 181}, {1, 178}, {5, 182}, {4, 178}, {5, 179}, {3, 180}, {12, 176}, {13, 177}, {8, 182}, {105, 130}, {114, 128}, {115, 129}, {120, 138}, {121, 139}, {124, 142}, {125, 143}, {116, 128}, {117, 129}, {120, 141}, {122, 143}, {116, 130}, {122, 140}, {123, 141}, {121, 142}, {123, 131}, {124, 132}, {125, 133}, {126, 134}, {127, 135}, {119, 140}, {127, 132}, {118, 139}, {126, 131}, {118, 136}, {119, 137} }>;

(II) A more general form is to represent the graph as the orbit of {13, 14} under the group generated by the following permutations:

a: (2, 13)(3, 12)(4, 11)(5, 10)(6, 9)(7, 8)(15, 26)(16, 25)(17, 24)(18, 23)(19, 22)(20, 21)(28, 39)(29, 38)(30, 37)(31, 36)(32, 35)(33, 34)(41, 52)(42, 51)(43, 50)(44, 49)(45, 48)(46, 47)(54, 65)(55, 64)(56, 63)(57, 62)(58, 61)(59, 60)(67, 78)(68, 77)(69, 76)(70, 75)(71, 74)(72, 73)(80, 91)(81, 90)(82, 89)(83, 88)(84, 87)(85, 86)(93, 104)(94, 103)(95, 102)(96, 101)(97, 100)(98, 99)(106, 117)(107, 116)(108, 115)(109, 114)(110, 113)(111, 112)(119, 130)(120, 129)(121, 128)(122, 127)(123, 126)(124, 125)(132, 143)(133, 142)(134, 141)(135, 140)(136, 139)(137, 138)(145, 156)(146, 155)(147, 154)(148, 153)(149, 152)(150, 151)(158, 169)(159, 168)(160, 167)(161, 166)(162, 165)(163, 164)(171, 182)(172, 181)(173, 180)(174, 179)(175, 178)(176, 177)
b: (2, 6, 13, 9)(3, 11, 12, 4)(5, 8, 10, 7)(14, 170)(15, 175, 26, 178)(16, 180, 25, 173)(17, 172, 24, 181)(18, 177, 23, 176)(19, 182, 22, 171)(20, 174, 21, 179)(27, 157)(28, 162, 39, 165)(29, 167, 38, 160)(30, 159, 37, 168)(31, 164, 36, 163)(32, 169, 35, 158)(33, 161, 34, 166)(40, 144)(41, 149, 52, 152)(42, 154, 51, 147)(43, 146, 50, 155)(44, 151, 49, 150)(45, 156, 48, 145)(46, 148, 47, 153)(53, 131)(54, 136, 65, 139)(55, 141, 64, 134)(56, 133, 63, 142)(57, 138, 62, 137)(58, 143, 61, 132)(59, 135, 60, 140)(66, 118)(67, 123, 78, 126)(68, 128, 77, 121)(69, 120, 76, 129)(70, 125, 75, 124)(71, 130, 74, 119)(72, 122, 73, 127)(79, 105)(80, 110, 91, 113)(81, 115, 90, 108)(82, 107, 89, 116)(83, 112, 88, 111)(84, 117, 87, 106)(85, 109, 86, 114)(93, 97, 104, 100)(94, 102, 103, 95)(96, 99, 101, 98)
c: (1, 2)(3, 13)(4, 12)(5, 11)(6, 10)(7, 9)(14, 15)(16, 26)(17, 25)(18, 24)(19, 23)(20, 22)(27, 28)(29, 39)(30, 38)(31, 37)(32, 36)(33, 35)(40, 41)(42, 52)(43, 51)(44, 50)(45, 49)(46, 48)(53, 54)(55, 65)(56, 64)(57, 63)(58, 62)(59, 61)(66, 67)(68, 78)(69, 77)(70, 76)(71, 75)(72, 74)(79, 80)(81, 91)(82, 90)(83, 89)(84, 88)(85, 87)(92, 93)(94, 104)(95, 103)(96, 102)(97, 101)(98, 100)(105, 106)(107, 117)(108, 116)(109, 115)(110, 114)(111, 113)(118, 119)(120, 130)(121, 129)(122, 128)(123, 127)(124, 126)(131, 132)(133, 143)(134, 142)(135, 141)(136, 140)(137, 139)(144, 145)(146, 156)(147, 155)(148, 154)(149, 153)(150, 152)(157, 158)(159, 169)(160, 168)(161, 167)(162, 166)(163, 165)(170, 171)(172, 182)(173, 181)(174, 180)(175, 179)(176, 178)
d: (1, 14, 27, 40, 53, 66, 79, 92, 105, 118, 131, 144, 157, 170)(2, 19, 39, 48, 54, 71, 91, 100, 106, 123, 143, 152, 158, 175, 13, 22, 28, 45, 65, 74, 80, 97, 117, 126, 132, 149, 169, 178)(3, 24, 38, 43, 55, 76, 90, 95, 107, 128, 142, 147, 159, 180, 12, 17, 29, 50, 64, 69, 81, 102, 116, 121, 133, 154, 168, 173)(4, 16, 37, 51, 56, 68, 89, 103, 108, 120, 141, 155, 160, 172, 11, 25, 30, 42, 63, 77, 82, 94, 115, 129, 134, 146, 167, 181)(5, 21, 36, 46, 57, 73, 88, 98, 109, 125, 140, 150, 161, 177, 10, 20, 31, 47, 62, 72, 83, 99, 114, 124, 135, 151, 166, 176)(6, 26, 35, 41, 58, 78, 87, 93, 110, 130, 139, 145, 162, 182, 9, 15, 32, 52, 61, 67, 84, 104, 113, 119, 136, 156, 165, 171)(7, 18, 34, 49, 59, 70, 86, 101, 111, 122, 138, 153, 163, 174, 8, 23, 33, 44, 60, 75, 85, 96, 112, 127, 137, 148, 164, 179)

(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[ 182, 3 ]
182
-1 178 15 26 175
-2 176 14 179 16
-3 177 15 180 17
-4 178 16 181 18
-5 179 17 182 19
-6 180 170 18 20
-7 181 171 19 21
-8 22 182 172 20
-9 23 170 173 21
-10 22 24 171 174
-11 23 25 172 175
-12 176 24 26 173
-13 177 14 25 174
-14 2 13 35 32
-15 33 1 3 36
-16 34 2 4 37
-17 35 3 5 38
-18 36 4 6 39
-19 37 5 27 7
-20 38 6 28 8
-21 39 7 29 9
-22 27 8 30 10
-23 11 28 9 31
-24 12 29 10 32
-25 11 33 13 30
-26 1 12 34 31
-27 22 19 41 52
-28 23 40 20 42
-29 24 41 21 43
-30 22 44 25 42
-31 23 45 26 43
-32 44 24 46 14
-33 45 25 47 15
-34 46 26 48 16
-35 14 47 49 17
-36 15 48 50 18
-37 16 49 51 19
-38 17 50 52 20
-39 18 40 51 21
-40 58 28 39 61
-41 59 27 29 62
-42 60 28 30 63
-43 61 29 31 64
-44 62 30 32 65
-45 33 63 31 53
-46 34 64 32 54
-47 33 55 35 65
-48 34 56 36 53
-49 35 57 37 54
-50 55 36 58 38
-51 56 37 59 39
-52 57 27 38 60
-53 45 67 78 48
-54 66 46 68 49
-55 67 47 69 50
-56 68 48 70 51
-57 69 49 71 52
-58 70 50 72 40
-59 71 51 73 41
-60 72 52 74 42
-61 40 73 75 43
-62 44 41 74 76
-63 77 45 42 75
-64 78 46 43 76
-65 44 66 77 47
-66 84 54 65 87
-67 55 88 85 53
-68 56 89 86 54
-69 55 57 90 87
-70 88 56 58 91
-71 89 57 79 59
-72 90 58 80 60
-73 91 59 81 61
-74 79 60 82 62
-75 80 61 83 63
-76 81 62 84 64
-77 82 63 85 65
-78 83 53 64 86
-79 71 93 104 74
-80 92 72 94 75
-81 93 73 95 76
-82 77 94 74 96
-83 78 95 75 97
-84 66 96 76 98
-85 77 99 67 97
-86 78 100 68 98
-87 66 99 101 69
-88 67 100 102 70
-89 68 101 103 71
-90 69 102 104 72
-91 70 92 103 73
-92 110 80 91 113
-93 111 79 81 114
-94 112 80 82 115
-95 113 81 83 116
-96 114 82 84 117
-97 115 83 105 85
-98 116 84 106 86
-99 117 85 107 87
-100 88 105 86 108
-101 89 106 87 109
-102 88 110 90 107
-103 89 111 91 108
-104 79 90 112 109
-105 100 97 119 130
-106 101 118 98 120
-107 99 121 102 119
-108 100 122 103 120
-109 121 101 123 104
-110 122 102 124 92
-111 123 103 125 93
-112 124 104 126 94
-113 92 125 127 95
-114 93 126 128 96
-115 94 127 129 97
-116 95 128 130 98
-117 99 96 118 129
-118 136 106 117 139
-119 137 105 107 140
-120 138 106 108 141
-121 139 107 109 142
-122 110 143 140 108
-123 111 141 109 131
-124 110 132 112 142
-125 143 111 133 113
-126 112 134 114 131
-127 132 113 135 115
-128 133 114 136 116
-129 134 115 137 117
-130 135 105 116 138
-131 123 145 156 126
-132 144 124 146 127
-133 145 125 147 128
-134 146 126 148 129
-135 147 127 149 130
-136 148 128 150 118
-137 149 129 151 119
-138 150 130 152 120
-139 121 118 151 153
-140 154 122 119 152
-141 155 123 120 153
-142 121 154 156 124
-143 122 144 155 125
-144 132 143 165 162
-145 133 166 163 131
-146 132 134 167 164
-147 165 133 135 168
-148 166 134 136 169
-149 167 135 157 137
-150 168 136 158 138
-151 169 137 159 139
-152 157 138 160 140
-153 158 139 161 141
-154 159 140 162 142
-155 143 160 141 163
-156 161 131 142 164
-157 149 171 182 152
-158 170 150 172 153
-159 154 171 151 173
-160 155 172 152 174
-161 156 173 153 175
-162 154 176 144 174
-163 155 177 145 175
-164 176 156 178 146
-165 144 177 179 147
-166 145 178 180 148
-167 146 179 181 149
-168 147 180 182 150
-169 148 170 181 151
-170 158 169 6 9
-171 157 159 7 10
-172 11 158 160 8
-173 12 159 161 9
-174 13 160 162 10
-175 11 1 161 163
-176 12 2 162 164
-177 165 13 3 163
-178 1 166 4 164
-179 165 2 167 5
-180 166 3 168 6
-181 167 4 169 7
-182 157 168 5 8
0

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