C4graphGraph forms for C4 [ 192, 54 ] = KE_48(1,3,16,19,17)

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On this page are computer-accessible forms for the graph C4[ 192, 54 ] = KE_48(1,3,16,19,17).

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

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

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