C4graphGraph forms for C4 [ 192, 88 ] = UG(ATD[192,44])

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On this page are computer-accessible forms for the graph C4[ 192, 88 ] = UG(ATD[192,44]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {61, 63} under the group generated by the following permutations:

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

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