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On this page are computer-accessible forms for the graph C4[ 192, 76 ] = UG(ATD[192,5]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {156, 159} under the group generated by the following permutations:

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

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

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