C4graphGraph forms for C4 [ 192, 95 ] = UG(ATD[192,119])

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On this page are computer-accessible forms for the graph C4[ 192, 95 ] = UG(ATD[192,119]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {38, 39} under the group generated by the following permutations:

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

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

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