C4graphGraph forms for C4 [ 192, 104 ] = UG(ATD[192,155])

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On this page are computer-accessible forms for the graph C4[ 192, 104 ] = UG(ATD[192,155]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {34, 35} under the group generated by the following permutations:

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

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

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