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On this page are computer-accessible forms for the graph C4[ 192, 34 ] = MSY(4,48,13,20).

(I) Following is a form readable by MAGMA:

g:=Graph<192|{ {2, 3}, {190, 191}, {186, 187}, {182, 183}, {178, 179}, {174, 175}, {170, 171}, {78, 79}, {74, 75}, {70, 71}, {66, 67}, {62, 63}, {58, 59}, {54, 55}, {50, 51}, {46, 47}, {6, 7}, {10, 11}, {14, 15}, {18, 19}, {22, 23}, {26, 27}, {30, 31}, {34, 35}, {38, 39}, {42, 43}, {82, 83}, {86, 87}, {90, 91}, {94, 95}, {98, 99}, {102, 103}, {106, 107}, {110, 111}, {114, 115}, {118, 119}, {122, 123}, {126, 127}, {130, 131}, {134, 135}, {138, 139}, {142, 143}, {146, 147}, {150, 151}, {154, 155}, {158, 159}, {162, 163}, {166, 167}, {1, 2}, {189, 190}, {185, 186}, {181, 182}, {177, 178}, {173, 174}, {169, 170}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {121, 122}, {125, 126}, {129, 130}, {133, 134}, {137, 138}, {141, 142}, {145, 146}, {149, 150}, {153, 154}, {157, 158}, {161, 162}, {165, 166}, {8, 12}, {184, 188}, {176, 180}, {168, 172}, {72, 76}, {64, 68}, {56, 60}, {48, 52}, {16, 20}, {24, 28}, {32, 36}, {40, 44}, {80, 84}, {88, 92}, {96, 100}, {104, 108}, {112, 116}, {120, 124}, {128, 132}, {136, 140}, {144, 148}, {152, 156}, {160, 164}, {3, 4}, {187, 188}, {179, 180}, {171, 172}, {75, 76}, {67, 68}, {59, 60}, {51, 52}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {4, 8}, {180, 184}, {68, 72}, {52, 56}, {20, 24}, {36, 40}, {84, 88}, {100, 104}, {116, 120}, {132, 136}, {148, 152}, {164, 168}, {7, 8}, {183, 184}, {167, 168}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {87, 88}, {103, 104}, {119, 120}, {135, 136}, {151, 152}, {12, 16}, {172, 176}, {76, 80}, {44, 48}, {108, 112}, {140, 144}, {15, 16}, {175, 176}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {3, 47}, {67, 111}, {19, 63}, {83, 127}, {131, 175}, {147, 191}, {1, 53}, {79, 123}, {73, 125}, {71, 115}, {65, 117}, {7, 51}, {9, 61}, {15, 59}, {129, 181}, {135, 179}, {137, 189}, {143, 187}, {5, 57}, {75, 119}, {69, 121}, {11, 55}, {28, 32}, {92, 96}, {133, 185}, {139, 183}, {156, 160}, {31, 32}, {95, 96}, {159, 160}, {13, 65}, {61, 113}, {29, 81}, {45, 97}, {16, 93}, {48, 125}, {32, 109}, {17, 69}, {63, 107}, {57, 109}, {55, 99}, {49, 101}, {23, 67}, {25, 77}, {31, 75}, {4, 81}, {12, 89}, {36, 113}, {44, 121}, {2, 94}, {59, 103}, {53, 105}, {21, 73}, {27, 71}, {34, 126}, {8, 85}, {40, 117}, {2, 102}, {6, 98}, {10, 110}, {14, 106}, {18, 118}, {22, 114}, {26, 126}, {30, 122}, {6, 106}, {51, 95}, {10, 102}, {22, 122}, {26, 118}, {35, 79}, {33, 85}, {47, 91}, {39, 83}, {41, 93}, {1, 116}, {9, 124}, {20, 97}, {28, 105}, {14, 114}, {188, 192}, {60, 64}, {18, 110}, {37, 89}, {43, 87}, {5, 120}, {24, 101}, {63, 64}, {191, 192}, {1, 141}, {49, 189}, {17, 157}, {33, 173}, {13, 128}, {77, 192}, {61, 176}, {45, 160}, {29, 144}, {3, 151}, {45, 185}, {5, 145}, {11, 159}, {13, 153}, {35, 183}, {37, 177}, {43, 191}, {17, 132}, {57, 172}, {49, 164}, {25, 140}, {7, 155}, {62, 162}, {9, 149}, {30, 130}, {39, 187}, {41, 181}, {21, 136}, {53, 168}, {34, 134}, {62, 154}, {58, 158}, {54, 146}, {50, 150}, {46, 138}, {38, 130}, {42, 142}, {15, 163}, {58, 150}, {54, 154}, {31, 179}, {38, 138}, {42, 134}, {19, 167}, {21, 161}, {27, 175}, {29, 169}, {33, 148}, {60, 137}, {52, 129}, {41, 156}, {23, 171}, {50, 142}, {46, 146}, {25, 165}, {37, 152}, {56, 133}, {4, 192}, {77, 129}, {93, 145}, {109, 161}, {125, 177}, {64, 141}, {80, 157}, {96, 173}, {112, 189}, {81, 133}, {87, 131}, {89, 141}, {95, 139}, {113, 165}, {119, 163}, {121, 173}, {127, 171}, {68, 145}, {76, 153}, {100, 177}, {108, 185}, {66, 158}, {85, 137}, {91, 135}, {98, 190}, {117, 169}, {123, 167}, {72, 149}, {104, 181}, {66, 166}, {78, 170}, {74, 174}, {70, 162}, {82, 182}, {86, 178}, {90, 190}, {94, 186}, {70, 170}, {74, 166}, {86, 186}, {90, 182}, {99, 143}, {115, 159}, {97, 149}, {103, 147}, {105, 157}, {111, 155}, {65, 180}, {73, 188}, {84, 161}, {92, 169}, {78, 178}, {82, 174}, {101, 153}, {107, 151}, {124, 128}, {69, 184}, {88, 165}, {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, 53, 141, 116)(3, 168, 89, 120)(4, 172, 37, 119)(5, 151, 164, 12)(6, 150, 160, 16)(7, 58, 156, 15)(8, 57, 152, 163)(9, 46, 19, 190)(10, 146, 63, 189)(11, 145, 107, 49)(13, 52, 66, 181)(14, 51, 158, 41)(17, 43, 113, 139)(18, 191, 61, 138)(20, 98, 149, 45)(21, 173, 84, 34)(22, 96, 80, 134)(23, 100, 76, 133)(24, 99, 72, 185)(25, 184, 131, 40)(26, 188, 175, 39)(27, 187)(28, 143, 71, 186)(29, 170, 178, 31)(30, 169, 78, 179)(32, 144, 70, 86)(33, 161)(35, 136, 121, 88)(36, 140, 69, 87)(38, 118, 192, 176)(42, 114, 95, 157)(44, 165, 183, 132)(47, 167, 90, 124)(48, 166, 182, 128)(50, 159, 93, 106)(54, 64, 112, 102)(55, 68, 108, 101)(56, 67, 104, 153)(59, 155)(60, 111, 103, 154)(62, 137, 110, 147)(65, 129)(73, 174, 83, 126)(74, 82, 127, 125)(75, 81, 171, 177)(77, 180, 130, 117)(79, 135, 122, 92)(85, 109, 148, 162)(91, 123)(94, 105, 142, 115)
b: (1, 2, 94, 95, 139, 140, 136, 21, 161, 162, 62, 63, 107, 108, 104, 181, 129, 130, 30, 31, 75, 76, 72, 149, 97, 98, 190, 191, 43, 44, 40, 117, 65, 66, 158, 159, 11, 12, 8, 85, 33, 34, 126, 127, 171, 172, 168, 53)(3, 186, 96, 183, 25, 132, 22, 109, 163, 154, 64, 151, 185, 100, 182, 77, 131, 122, 32, 119, 153, 68, 150, 45, 99, 90, 192, 87, 121, 36, 118, 13, 67, 58, 160, 55, 89, 4, 86, 173, 35, 26, 128, 23, 57, 164, 54, 141)(5, 49, 146, 142, 47, 187, 92, 184, 165, 17, 114, 110, 15, 155, 60, 152, 133, 177, 82, 78, 175, 123, 28, 120, 101, 145, 50, 46, 143, 91, 188, 88, 69, 113, 18, 14, 111, 59, 156, 56, 37, 81, 178, 174, 79, 27, 124, 24)(6, 189, 147, 42, 48, 39, 169, 180, 166, 157, 115, 10, 16, 7, 137, 148, 134, 125, 83, 170, 176, 167, 105, 116, 102, 93, 51, 138, 144, 135, 73, 84, 70, 61, 19, 106, 112, 103, 41, 52, 38, 29, 179, 74, 80, 71, 9, 20)

(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[ 192, 34 ]
192
-1 2 116 53 141
-2 1 3 102 94
-3 2 47 4 151
-4 3 81 192 8
-5 57 145 6 120
-6 5 7 106 98
-7 155 6 51 8
-8 12 4 7 85
-9 124 61 149 10
-10 11 110 102 9
-11 55 12 159 10
-12 11 89 16 8
-13 14 128 65 153
-14 13 15 114 106
-15 14 59 16 163
-16 12 15 93 20
-17 132 69 157 18
-18 110 17 19 118
-19 167 18 63 20
-20 24 16 19 97
-21 22 136 73 161
-22 23 122 114 21
-23 22 67 24 171
-24 23 101 28 20
-25 77 165 26 140
-26 25 27 126 118
-27 26 71 28 175
-28 24 27 105 32
-29 144 81 169 30
-30 122 29 31 130
-31 179 30 75 32
-32 36 28 31 109
-33 34 148 85 173
-34 33 35 134 126
-35 34 79 36 183
-36 35 113 40 32
-37 89 177 38 152
-38 37 39 138 130
-39 187 38 83 40
-40 44 36 39 117
-41 156 93 181 42
-42 134 41 43 142
-43 44 191 42 87
-44 121 48 40 43
-45 46 160 97 185
-46 45 47 146 138
-47 46 3 91 48
-48 44 47 125 52
-49 101 189 50 164
-50 49 51 150 142
-51 50 7 95 52
-52 56 48 51 129
-53 1 168 105 54
-54 55 154 146 53
-55 11 99 56 54
-56 55 133 60 52
-57 58 5 172 109
-58 57 59 158 150
-59 58 15 103 60
-60 56 59 137 64
-61 176 113 62 9
-62 154 61 63 162
-63 62 19 107 64
-64 68 60 63 141
-65 66 13 180 117
-66 67 166 158 65
-67 66 23 111 68
-68 67 145 72 64
-69 121 70 17 184
-70 69 71 170 162
-71 70 27 115 72
-72 68 71 149 76
-73 188 125 74 21
-74 166 73 75 174
-75 74 31 119 76
-76 80 72 75 153
-77 78 25 192 129
-78 77 79 178 170
-79 78 35 123 80
-80 79 157 84 76
-81 133 4 82 29
-82 81 83 182 174
-83 82 39 127 84
-84 88 80 83 161
-85 33 137 8 86
-86 178 85 87 186
-87 88 86 43 131
-88 165 92 84 87
-89 12 90 37 141
-90 89 91 190 182
-91 90 47 135 92
-92 88 91 169 96
-93 145 16 94 41
-94 2 93 95 186
-95 94 51 139 96
-96 100 92 95 173
-97 45 149 20 98
-98 99 190 6 97
-99 55 143 100 98
-100 99 177 104 96
-101 24 102 49 153
-102 2 101 103 10
-103 102 59 147 104
-104 100 103 181 108
-105 157 28 106 53
-106 14 6 105 107
-107 106 63 151 108
-108 112 104 107 185
-109 110 57 161 32
-110 111 18 10 109
-111 110 67 155 112
-112 111 189 116 108
-113 165 36 114 61
-114 22 14 113 115
-115 114 71 159 116
-116 1 112 115 120
-117 169 40 118 65
-118 26 18 117 119
-119 118 75 163 120
-120 124 5 116 119
-121 44 122 69 173
-122 22 121 123 30
-123 122 79 167 124
-124 123 128 9 120
-125 177 48 126 73
-126 34 26 125 127
-127 126 83 171 128
-128 132 13 124 127
-129 77 181 52 130
-130 38 30 129 131
-131 132 130 87 175
-132 136 17 128 131
-133 56 134 81 185
-134 34 133 135 42
-135 134 91 179 136
-136 132 135 140 21
-137 189 60 138 85
-138 46 38 137 139
-139 138 95 183 140
-140 144 25 136 139
-141 1 89 64 142
-142 143 50 42 141
-143 99 187 144 142
-144 143 148 29 140
-145 68 146 5 93
-146 46 145 147 54
-147 146 103 191 148
-148 33 144 147 152
-149 72 150 9 97
-150 58 50 149 151
-151 3 150 107 152
-152 156 37 148 151
-153 154 13 101 76
-154 155 62 54 153
-155 154 111 156 7
-156 155 160 41 152
-157 80 158 17 105
-158 66 58 157 159
-159 11 158 115 160
-160 45 156 159 164
-161 84 162 21 109
-162 70 62 161 163
-163 15 162 119 164
-164 168 49 160 163
-165 88 166 25 113
-166 66 165 167 74
-167 166 123 168 19
-168 167 172 53 164
-169 92 170 29 117
-170 78 70 169 171
-171 23 170 127 172
-172 176 57 168 171
-173 33 121 96 174
-174 82 74 173 175
-175 176 27 174 131
-176 180 61 172 175
-177 100 178 37 125
-178 78 177 179 86
-179 178 135 180 31
-180 176 179 184 65
-181 104 182 41 129
-182 90 82 181 183
-183 35 182 139 184
-184 188 69 180 183
-185 45 133 108 186
-186 187 94 86 185
-187 143 188 39 186
-188 187 192 73 184
-189 112 190 49 137
-190 90 189 191 98
-191 190 147 192 43
-192 77 188 4 191
0

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