C4graphGraph forms for C4 [ 192, 112 ] = UG(ATD[192,186])

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On this page are computer-accessible forms for the graph C4[ 192, 112 ] = UG(ATD[192,186]).

(I) Following is a form readable by MAGMA:

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

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

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