C4graphGraph forms for C4 [ 192, 92 ] = UG(ATD[192,52])

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On this page are computer-accessible forms for the graph C4[ 192, 92 ] = UG(ATD[192,52]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {28, 29} under the group generated by the following permutations:

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

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

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