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On this page are computer-accessible forms for the graph C4[ 192, 87 ] = UG(ATD[192,41]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {82, 83} under the group generated by the following permutations:

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

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

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