C4graphGraph forms for C4 [ 192, 50 ] = KE_48(1,21,8,5,7)

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On this page are computer-accessible forms for the graph C4[ 192, 50 ] = KE_48(1,21,8,5,7).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

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

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