C4graphGraph forms for C4 [ 192, 51 ] = KE_48(1,27,16,19,7)

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On this page are computer-accessible forms for the graph C4[ 192, 51 ] = KE_48(1,27,16,19,7).

(I) Following is a form readable by MAGMA:

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

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

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

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