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On this page are computer-accessible forms for the graph C4[ 192, 116 ] = UG(ATD[192,199]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {10, 11} under the group generated by the following permutations:

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

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

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