C4graphGraph forms for C4 [ 192, 117 ] = UG(ATD[192,201])

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On this page are computer-accessible forms for the graph C4[ 192, 117 ] = UG(ATD[192,201]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {24, 25} under the group generated by the following permutations:

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

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