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On this page are computer-accessible forms for the graph C4[ 183, 2 ] = PS(3,61;13).

(I) Following is a form readable by MAGMA:

g:=Graph<183|{ {61, 62}, {112, 125}, {114, 127}, {113, 126}, {111, 124}, {110, 123}, {75, 123}, {76, 124}, {77, 125}, {78, 126}, {79, 127}, {2, 62}, {3, 63}, {1, 63}, {2, 64}, {39, 101}, {38, 100}, {35, 97}, {34, 96}, {31, 93}, {30, 92}, {27, 89}, {26, 88}, {3, 65}, {6, 68}, {7, 69}, {10, 72}, {11, 73}, {14, 76}, {15, 77}, {18, 80}, {19, 81}, {22, 84}, {23, 85}, {42, 104}, {43, 105}, {46, 108}, {47, 109}, {50, 112}, {51, 113}, {54, 116}, {55, 117}, {58, 120}, {59, 121}, {4, 64}, {39, 99}, {38, 98}, {37, 97}, {36, 96}, {31, 91}, {30, 90}, {29, 89}, {28, 88}, {5, 65}, {6, 66}, {7, 67}, {12, 72}, {13, 73}, {14, 74}, {15, 75}, {20, 80}, {21, 81}, {22, 82}, {23, 83}, {44, 104}, {45, 105}, {46, 106}, {47, 107}, {52, 112}, {53, 113}, {54, 114}, {55, 115}, {60, 120}, {61, 121}, {4, 66}, {37, 99}, {36, 98}, {29, 91}, {28, 90}, {5, 67}, {12, 74}, {13, 75}, {20, 82}, {21, 83}, {44, 106}, {45, 107}, {52, 114}, {53, 115}, {60, 122}, {48, 123}, {52, 127}, {8, 68}, {40, 100}, {27, 87}, {26, 86}, {9, 69}, {10, 70}, {11, 71}, {24, 84}, {25, 85}, {41, 101}, {42, 102}, {43, 103}, {56, 116}, {57, 117}, {58, 118}, {59, 119}, {49, 124}, {51, 126}, {8, 70}, {40, 102}, {9, 71}, {24, 86}, {25, 87}, {41, 103}, {56, 118}, {57, 119}, {50, 125}, {16, 76}, {17, 77}, {18, 78}, {19, 79}, {48, 108}, {49, 109}, {50, 110}, {51, 111}, {16, 78}, {17, 79}, {48, 110}, {49, 111}, {16, 124}, {17, 125}, {18, 126}, {19, 127}, {15, 123}, {1, 122}, {32, 92}, {35, 95}, {34, 94}, {33, 93}, {32, 94}, {33, 95}, {1, 137}, {39, 175}, {38, 174}, {37, 173}, {36, 172}, {35, 171}, {34, 170}, {33, 169}, {32, 168}, {2, 138}, {3, 139}, {4, 140}, {5, 141}, {6, 142}, {7, 143}, {16, 152}, {17, 153}, {18, 154}, {19, 155}, {20, 156}, {21, 157}, {22, 158}, {23, 159}, {63, 172}, {20, 128}, {31, 139}, {30, 138}, {29, 137}, {28, 136}, {21, 129}, {22, 130}, {23, 131}, {52, 160}, {53, 161}, {54, 162}, {55, 163}, {60, 168}, {61, 169}, {62, 171}, {8, 144}, {9, 145}, {10, 146}, {11, 147}, {12, 148}, {13, 149}, {14, 150}, {15, 151}, {40, 176}, {41, 177}, {42, 178}, {43, 179}, {44, 180}, {45, 181}, {46, 182}, {47, 183}, {24, 132}, {27, 135}, {26, 134}, {25, 133}, {56, 164}, {57, 165}, {58, 166}, {59, 167}, {2, 171}, {4, 173}, {6, 175}, {1, 170}, {5, 174}, {32, 140}, {35, 143}, {34, 142}, {33, 141}, {48, 156}, {49, 157}, {50, 158}, {51, 159}, {3, 172}, {36, 144}, {39, 147}, {38, 146}, {37, 145}, {44, 152}, {45, 153}, {46, 154}, {47, 155}, {53, 128}, {55, 130}, {61, 136}, {62, 136}, {63, 137}, {7, 176}, {54, 129}, {24, 160}, {31, 167}, {30, 166}, {29, 165}, {28, 164}, {27, 163}, {26, 162}, {25, 161}, {8, 177}, {10, 179}, {12, 181}, {14, 183}, {9, 178}, {13, 182}, {56, 131}, {60, 135}, {40, 148}, {41, 149}, {42, 150}, {43, 151}, {57, 132}, {59, 134}, {11, 180}, {58, 133}, {64, 138}, {101, 175}, {100, 174}, {97, 171}, {96, 170}, {85, 159}, {84, 158}, {81, 155}, {65, 139}, {68, 142}, {69, 143}, {80, 154}, {66, 140}, {99, 173}, {98, 172}, {83, 157}, {82, 156}, {67, 141}, {80, 128}, {122, 170}, {121, 169}, {120, 168}, {119, 167}, {118, 166}, {117, 165}, {116, 164}, {115, 163}, {114, 162}, {113, 161}, {112, 160}, {95, 143}, {94, 142}, {93, 141}, {92, 140}, {91, 139}, {90, 138}, {89, 137}, {88, 136}, {87, 135}, {86, 134}, {85, 133}, {84, 132}, {83, 131}, {82, 130}, {81, 129}, {70, 144}, {103, 177}, {102, 176}, {71, 145}, {78, 152}, {79, 153}, {72, 146}, {109, 183}, {108, 182}, {105, 179}, {104, 178}, {73, 147}, {76, 150}, {77, 151}, {74, 148}, {107, 181}, {106, 180}, {75, 149}, {64, 173}, {66, 175}, {65, 174}, {96, 144}, {111, 159}, {110, 158}, {109, 157}, {108, 156}, {107, 155}, {106, 154}, {105, 153}, {104, 152}, {103, 151}, {102, 150}, {101, 149}, {100, 148}, {99, 147}, {98, 146}, {97, 145}, {67, 176}, {119, 132}, {115, 128}, {71, 180}, {68, 177}, {118, 131}, {116, 129}, {70, 179}, {86, 160}, {95, 169}, {94, 168}, {87, 161}, {69, 178}, {117, 130}, {88, 162}, {93, 167}, {92, 166}, {89, 163}, {72, 181}, {122, 135}, {120, 133}, {74, 183}, {90, 164}, {91, 165}, {73, 182}, {121, 134} }>;

(II) A more general form is to represent the graph as the orbit of {61, 62} under the group generated by the following permutations:

a: (1, 62, 123)(2, 75, 170)(3, 88, 156)(4, 101, 142)(5, 114, 128)(6, 66, 175)(7, 79, 161)(8, 92, 147)(9, 105, 133)(10, 118, 180)(11, 70, 166)(12, 83, 152)(13, 96, 138)(14, 109, 124)(15, 122, 171)(16, 74, 157)(17, 87, 143)(18, 100, 129)(19, 113, 176)(20, 65, 162)(21, 78, 148)(22, 91, 134)(23, 104, 181)(24, 117, 167)(25, 69, 153)(26, 82, 139)(27, 95, 125)(28, 108, 172)(29, 121, 158)(30, 73, 144)(31, 86, 130)(32, 99, 177)(33, 112, 163)(34, 64, 149)(35, 77, 135)(36, 90, 182)(37, 103, 168)(38, 116, 154)(39, 68, 140)(40, 81, 126)(41, 94, 173)(42, 107, 159)(43, 120, 145)(44, 72, 131)(45, 85, 178)(46, 98, 164)(47, 111, 150)(48, 63, 136)(49, 76, 183)(50, 89, 169)(51, 102, 155)(52, 115, 141)(53, 67, 127)(54, 80, 174)(55, 93, 160)(56, 106, 146)(57, 119, 132)(58, 71, 179)(59, 84, 165)(60, 97, 151)(61, 110, 137)
b: (2, 61)(3, 60)(4, 59)(5, 58)(6, 57)(7, 56)(8, 55)(9, 54)(10, 53)(11, 52)(12, 51)(13, 50)(14, 49)(15, 48)(16, 47)(17, 46)(18, 45)(19, 44)(20, 43)(21, 42)(22, 41)(23, 40)(24, 39)(25, 38)(26, 37)(27, 36)(28, 35)(29, 34)(30, 33)(31, 32)(63, 122)(64, 121)(65, 120)(66, 119)(67, 118)(68, 117)(69, 116)(70, 115)(71, 114)(72, 113)(73, 112)(74, 111)(75, 110)(76, 109)(77, 108)(78, 107)(79, 106)(80, 105)(81, 104)(82, 103)(83, 102)(84, 101)(85, 100)(86, 99)(87, 98)(88, 97)(89, 96)(90, 95)(91, 94)(92, 93)(124, 183)(125, 182)(126, 181)(127, 180)(128, 179)(129, 178)(130, 177)(131, 176)(132, 175)(133, 174)(134, 173)(135, 172)(136, 171)(137, 170)(138, 169)(139, 168)(140, 167)(141, 166)(142, 165)(143, 164)(144, 163)(145, 162)(146, 161)(147, 160)(148, 159)(149, 158)(150, 157)(151, 156)(152, 155)(153, 154)
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, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183)

(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[ 183, 2 ]
183
-1 122 137 170 63
-2 138 171 62 64
-3 139 172 63 65
-4 66 140 173 64
-5 67 141 174 65
-6 66 68 142 175
-7 143 176 67 69
-8 144 177 68 70
-9 145 178 69 71
-10 146 179 70 72
-11 147 180 71 73
-12 148 181 72 74
-13 149 182 73 75
-14 150 183 74 76
-15 77 123 151 75
-16 78 124 152 76
-17 77 79 125 153
-18 154 78 80 126
-19 155 79 81 127
-20 156 80 82 128
-21 157 81 83 129
-22 158 82 84 130
-23 159 83 85 131
-24 132 160 84 86
-25 133 161 85 87
-26 88 134 162 86
-27 89 135 163 87
-28 88 90 136 164
-29 165 89 91 137
-30 166 90 92 138
-31 167 91 93 139
-32 168 92 94 140
-33 169 93 95 141
-34 170 94 96 142
-35 143 171 95 97
-36 144 172 96 98
-37 99 145 173 97
-38 100 146 174 98
-39 99 101 147 175
-40 176 100 102 148
-41 177 101 103 149
-42 178 102 104 150
-43 179 103 105 151
-44 180 104 106 152
-45 181 105 107 153
-46 154 182 106 108
-47 155 183 107 109
-48 110 123 156 108
-49 111 124 157 109
-50 110 112 125 158
-51 111 113 126 159
-52 112 114 127 160
-53 113 115 128 161
-54 114 116 129 162
-55 115 117 130 163
-56 116 118 131 164
-57 132 165 117 119
-58 133 166 118 120
-59 121 134 167 119
-60 122 135 168 120
-61 121 136 169 62
-62 2 136 61 171
-63 1 3 137 172
-64 2 4 138 173
-65 3 5 139 174
-66 4 6 140 175
-67 176 5 7 141
-68 177 6 8 142
-69 143 178 7 9
-70 144 179 8 10
-71 11 145 180 9
-72 12 146 181 10
-73 11 13 147 182
-74 12 14 148 183
-75 13 123 15 149
-76 14 124 16 150
-77 15 125 17 151
-78 16 126 18 152
-79 17 127 19 153
-80 154 18 128 20
-81 155 19 129 21
-82 22 156 20 130
-83 23 157 21 131
-84 22 132 24 158
-85 23 133 25 159
-86 24 134 26 160
-87 25 135 27 161
-88 26 136 28 162
-89 27 137 29 163
-90 28 138 30 164
-91 165 29 139 31
-92 166 30 140 32
-93 33 167 31 141
-94 34 168 32 142
-95 33 143 35 169
-96 34 144 36 170
-97 35 145 37 171
-98 36 146 38 172
-99 37 147 39 173
-100 38 148 40 174
-101 39 149 41 175
-102 176 40 150 42
-103 177 41 151 43
-104 44 178 42 152
-105 45 179 43 153
-106 44 154 46 180
-107 45 155 47 181
-108 46 156 48 182
-109 47 157 49 183
-110 123 48 158 50
-111 124 49 159 51
-112 125 50 160 52
-113 126 51 161 53
-114 127 52 162 54
-115 55 128 53 163
-116 56 129 54 164
-117 55 165 57 130
-118 56 166 58 131
-119 132 57 167 59
-120 133 58 168 60
-121 134 59 169 61
-122 1 135 60 170
-123 110 15 48 75
-124 111 16 49 76
-125 77 112 17 50
-126 78 113 18 51
-127 79 114 19 52
-128 80 115 20 53
-129 81 116 21 54
-130 22 55 82 117
-131 23 56 83 118
-132 24 57 84 119
-133 25 58 85 120
-134 121 26 59 86
-135 122 27 60 87
-136 88 28 61 62
-137 1 89 29 63
-138 2 90 30 64
-139 3 91 31 65
-140 66 4 92 32
-141 33 67 5 93
-142 34 68 6 94
-143 35 69 7 95
-144 36 70 8 96
-145 37 71 9 97
-146 38 72 10 98
-147 11 99 39 73
-148 12 100 40 74
-149 13 101 41 75
-150 14 102 42 76
-151 77 15 103 43
-152 44 78 16 104
-153 45 79 17 105
-154 46 80 18 106
-155 47 81 19 107
-156 48 82 20 108
-157 49 83 21 109
-158 22 110 50 84
-159 23 111 51 85
-160 24 112 52 86
-161 25 113 53 87
-162 88 26 114 54
-163 55 89 27 115
-164 56 90 28 116
-165 57 91 29 117
-166 58 92 30 118
-167 59 93 31 119
-168 60 94 32 120
-169 33 121 61 95
-170 1 34 122 96
-171 2 35 62 97
-172 3 36 63 98
-173 99 4 37 64
-174 100 5 38 65
-175 66 101 6 39
-176 67 102 7 40
-177 68 103 8 41
-178 69 104 9 42
-179 70 105 10 43
-180 11 44 71 106
-181 12 45 72 107
-182 13 46 73 108
-183 14 47 74 109
0

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