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On this page are computer-accessible forms for the graph C4[ 192, 99 ] =
UG(ATD[192,138]).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {100, 101}, {112, 113}, {118, 119}, {142, 143}, {85, 87}, {172,
174}, {1, 2}, {28, 31}, {1, 5}, {66, 70}, {3, 7}, {2, 6}, {67, 70}, {137, 140},
{171, 173}, {11, 12}, {114, 117}, {138, 141}, {54, 62}, {64, 72}, {113, 121},
{97, 104}, {181, 188}, {163, 170}, {119, 126}, {103, 109}, {118, 124}, {4, 15},
{68, 79}, {4, 8}, {81, 93}, {21, 25}, {3, 14}, {182, 187}, {119, 122}, {67, 77},
{166, 168}, {68, 74}, {117, 123}, {133, 139}, {2, 13}, {163, 179}, {175, 191},
{129, 144}, {166, 183}, {130, 147}, {5, 16}, {7, 18}, {138, 156}, {6, 17}, {40,
48}, {160, 184}, {75, 82}, {107, 114}, {32, 58}, {8, 19}, {70, 93}, {12, 23},
{43, 55}, {46, 50}, {9, 20}, {67, 94}, {11, 22}, {129, 159}, {162, 188}, {10,
21}, {47, 48}, {82, 115}, {136, 170}, {139, 169}, {132, 167}, {5, 33}, {31, 59},
{7, 35}, {6, 34}, {155, 191}, {13, 40}, {15, 42}, {22, 48}, {31, 57}, {30, 56},
{23, 49}, {130, 164}, {157, 187}, {14, 41}, {153, 190}, {154, 189}, {140, 165},
{24, 50}, {69, 111}, {29, 55}, {28, 54}, {25, 51}, {94, 116}, {12, 39}, {14,
37}, {152, 179}, {8, 36}, {66, 110}, {65, 109}, {64, 108}, {10, 38}, {9, 37},
{149, 185}, {150, 186}, {26, 52}, {27, 53}, {156, 178}, {89, 118}, {67, 115},
{13, 60}, {137, 184}, {158, 175}, {87, 101}, {88, 106}, {92, 111}, {154, 174},
{74, 127}, {87, 98}, {158, 171}, {135, 177}, {146, 164}, {70, 113}, {148, 172},
{146, 171}, {132, 190}, {16, 43}, {26, 33}, {24, 35}, {20, 47}, {151, 172},
{155, 160}, {153, 165}, {17, 44}, {19, 46}, {137, 180}, {30, 32}, {131, 189},
{18, 45}, {133, 186}, {134, 185}, {43, 107}, {41, 104}, {50, 115}, {4, 71}, {28,
88}, {53, 112}, {15, 72}, {38, 97}, {23, 80}, {25, 81}, {27, 82}, {13, 71}, {55,
125}, {52, 127}, {29, 83}, {26, 85}, {47, 96}, {49, 97}, {51, 98}, {53, 100},
{59, 104}, {60, 105}, {36, 114}, {52, 99}, {61, 106}, {39, 127}, {45, 117}, {16,
73}, {22, 79}, {20, 77}, {18, 75}, {33, 123}, {51, 105}, {36, 126}, {17, 74},
{21, 78}, {56, 101}, {62, 99}, {58, 103}, {34, 124}, {35, 125}, {19, 76}, {57,
102}, {39, 120}, {159, 192}, {30, 127}, {56, 90}, {63, 91}, {54, 83}, {62, 86},
{54, 95}, {34, 72}, {28, 112}, {33, 76}, {39, 73}, {11, 123}, {12, 124}, {46,
95}, {40, 90}, {44, 94}, {41, 91}, {36, 87}, {61, 78}, {22, 98}, {180, 192},
{38, 82}, {37, 81}, {32, 84}, {35, 86}, {42, 92}, {59, 77}, {43, 93}, {10, 125},
{45, 90}, {34, 85}, {63, 71}, {44, 86}, {59, 65}, {17, 106}, {63, 68}, {37, 88},
{1, 126}, {38, 89}, {58, 185}, {55, 179}, {61, 184}, {62, 187}, {9, 142}, {48,
183}, {31, 152}, {27, 145}, {52, 191}, {24, 149}, {50, 191}, {57, 183}, {53,
186}, {63, 176}, {21, 133}, {3, 146}, {8, 156}, {14, 155}, {49, 164}, {41, 190},
{42, 189}, {15, 150}, {5, 159}, {26, 134}, {29, 131}, {60, 162}, {61, 157}, {16,
177}, {18, 177}, {25, 189}, {29, 184}, {40, 128}, {105, 192}, {46, 132}, {47,
133}, {3, 168}, {42, 129}, {11, 167}, {23, 187}, {2, 175}, {4, 170}, {45, 131},
{44, 130}, {1, 174}, {10, 165}, {56, 136}, {58, 138}, {57, 137}, {24, 169}, {60,
141}, {7, 180}, {32, 147}, {51, 135}, {49, 134}, {6, 190}, {9, 181}, {27, 166},
{19, 173}, {30, 161}, {64, 128}, {81, 145}, {80, 144}, {84, 148}, {71, 134},
{83, 146}, {78, 143}, {85, 148}, {104, 169}, {69, 135}, {73, 141}, {92, 152},
{75, 142}, {79, 138}, {91, 157}, {86, 145}, {111, 168}, {91, 147}, {105, 161},
{109, 165}, {110, 166}, {125, 181}, {126, 182}, {66, 139}, {69, 140}, {93, 151},
{96, 170}, {102, 172}, {107, 161}, {108, 167}, {76, 128}, {124, 176}, {88, 149},
{90, 151}, {110, 163}, {116, 185}, {77, 131}, {117, 186}, {65, 145}, {95, 143},
{100, 180}, {96, 177}, {98, 179}, {103, 182}, {113, 160}, {94, 140}, {75, 152},
{97, 178}, {102, 181}, {20, 192}, {68, 144}, {84, 129}, {80, 136}, {83, 139},
{106, 178}, {101, 188}, {123, 162}, {120, 163}, {107, 183}, {109, 176}, {121,
164}, {108, 178}, {73, 150}, {76, 147}, {121, 153}, {79, 174}, {114, 144}, {120,
154}, {118, 149}, {78, 168}, {74, 173}, {72, 161}, {65, 171}, {116, 158}, {69,
169}, {115, 157}, {95, 176}, {102, 150}, {110, 159}, {108, 158}, {122, 136},
{84, 167}, {89, 173}, {96, 148}, {119, 130}, {64, 182}, {112, 135}, {121, 142},
{122, 141}, {111, 151}, {120, 128}, {89, 160}, {99, 153}, {116, 143}, {103,
155}, {66, 188}, {92, 162}, {100, 154}, {122, 132}, {80, 175}, {99, 156}
}>;
(II) A more general form is to represent the graph as the orbit of {100, 101}
under the group generated by the following permutations:
a: (2, 126)(3, 184)(5, 174)(6, 119)(7, 137)(8, 71)(9, 112)(10, 169)(12, 167)(13,
36)(14, 160)(15, 170)(16, 172)(17, 130)(18, 57)(19, 63)(20, 53)(21, 139)(22,
123)(23, 108)(24, 165)(25, 66)(26, 138)(27, 77)(28, 142)(29, 168)(31, 75)(32,
127)(33, 79)(34, 122)(35, 140)(37, 113)(38, 104)(39, 84)(40, 114)(41, 89)(42,
163)(43, 151)(45, 183)(46, 176)(47, 186)(48, 117)(49, 178)(50, 109)(51, 188)(52,
58)(54, 143)(55, 111)(56, 161)(59, 82)(60, 87)(61, 146)(62, 116)(64, 80)(65,
115)(67, 145)(68, 76)(69, 125)(70, 81)(72, 136)(73, 148)(74, 147)(78, 83)(85,
141)(86, 94)(88, 121)(90, 107)(91, 173)(92, 179)(96, 150)(98, 162)(99, 185)(100,
192)(101, 105)(102, 177)(103, 191)(106, 164)(110, 189)(118, 190)(120, 129)(124,
132)(128, 144)(131, 166)(134, 156)(135, 181)(149, 153)(154, 159)(157, 171)(158,
187)(175, 182) (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.
**************
&Graph **************
b: (1, 2, 175, 191, 155, 14, 3, 7, 180, 192, 159, 5)(4, 12, 156, 176, 97, 54,
10, 31, 133, 179, 150, 22)(6, 158, 50, 160, 37, 168, 18, 100, 105, 129, 33,
126)(8, 124, 178, 95, 38, 28, 21, 152, 186, 98, 15, 11)(9, 166, 177, 154, 60,
144, 26, 182, 190, 171, 24, 184)(13, 80, 52, 103, 41, 146, 35, 137, 20, 110, 16,
174)(17, 116, 115, 113, 81, 111, 45, 101, 161, 84, 76, 119)(19, 118, 106, 143,
82, 112, 25, 92, 117, 87, 72, 167)(23, 99, 109, 104, 83, 125, 57, 47, 163, 73,
79, 71)(27, 135, 189, 162, 114, 85, 64, 132, 173, 149, 61, 142)(29, 181, 183,
96, 120, 141, 68, 134, 187, 153, 65, 169)(30, 32, 147, 130, 44, 94, 67, 70, 93,
151, 90, 56)(34, 108, 46, 89, 88, 78, 75, 53, 51, 42, 123, 36)(39, 138, 63, 49,
62, 165, 59, 139, 55, 102, 48, 170)(40, 136, 127, 58, 91, 164, 86, 140, 77, 66,
43, 172)(69, 131, 188, 107, 148, 128, 122, 74, 185, 157, 121, 145)
c: (2, 5)(4, 11)(6, 16)(7, 14)(8, 22)(9, 24)(10, 28)(12, 15)(13, 33)(17, 43)(18,
41)(19, 48)(20, 50)(21, 54)(23, 42)(25, 62)(26, 60)(27, 65)(29, 61)(31, 38)(32,
56)(34, 73)(35, 37)(36, 79)(39, 72)(40, 76)(44, 93)(45, 91)(46, 47)(49, 92)(51,
99)(52, 105)(53, 109)(55, 106)(57, 89)(58, 101)(59, 82)(63, 117)(64, 120)(66,
116)(68, 114)(69, 121)(70, 94)(71, 123)(74, 107)(75, 104)(77, 115)(78, 83)(80,
129)(81, 86)(84, 136)(85, 141)(87, 138)(88, 125)(90, 147)(95, 133)(96, 132)(97,
152)(98, 156)(100, 103)(102, 118)(108, 163)(110, 158)(111, 164)(112, 165)(113,
140)(119, 172)(122, 148)(124, 150)(126, 174)(127, 161)(130, 151)(131, 157)(134,
162)(135, 153)(137, 160)(139, 143)(142, 169)(146, 168)(149, 181)(154, 182)(155,
180)(159, 175)(166, 171)(167, 170)(173, 183)(176, 186)(177, 190)(178, 179)(185,
188)(187, 189)(191, 192)
C4[ 192, 99 ]
192
-1 2 5 126 174
-2 1 13 6 175
-3 14 146 168 7
-4 15 71 170 8
-5 33 1 16 159
-6 34 2 190 17
-7 35 3 180 18
-8 156 36 4 19
-9 37 181 20 142
-10 165 125 38 21
-11 22 12 123 167
-12 11 23 124 39
-13 2 60 71 40
-14 155 3 37 41
-15 4 72 150 42
-16 177 5 73 43
-17 44 6 106 74
-18 45 177 7 75
-19 46 8 173 76
-20 77 47 192 9
-21 78 133 25 10
-22 11 79 48 98
-23 187 12 80 49
-24 35 169 50 149
-25 189 81 51 21
-26 33 134 52 85
-27 166 145 82 53
-28 88 112 31 54
-29 55 83 184 131
-30 56 127 161 32
-31 57 59 28 152
-32 58 147 84 30
-33 123 26 5 76
-34 124 6 72 85
-35 24 125 7 86
-36 114 126 8 87
-37 88 14 81 9
-38 89 82 97 10
-39 12 127 73 120
-40 13 90 48 128
-41 14 91 190 104
-42 189 15 92 129
-43 55 16 93 107
-44 17 94 86 130
-45 90 18 117 131
-46 132 50 95 19
-47 133 48 96 20
-48 22 47 40 183
-49 23 134 97 164
-50 24 46 191 115
-51 25 135 105 98
-52 99 26 191 127
-53 100 112 27 186
-54 28 83 62 95
-55 179 125 29 43
-56 90 101 136 30
-57 102 137 183 31
-58 103 138 185 32
-59 77 104 31 65
-60 13 105 162 141
-61 78 157 106 184
-62 99 187 86 54
-63 176 68 91 71
-64 72 182 128 108
-65 145 59 171 109
-66 110 188 70 139
-67 77 70 115 94
-68 144 79 63 74
-69 111 135 169 140
-70 66 67 113 93
-71 13 134 4 63
-72 34 15 161 64
-73 16 39 150 141
-74 68 17 127 173
-75 82 18 152 142
-76 33 147 128 19
-77 67 59 20 131
-78 143 168 61 21
-79 22 68 138 174
-80 23 144 136 175
-81 145 25 37 93
-82 27 38 115 75
-83 146 29 139 54
-84 167 148 129 32
-85 34 26 148 87
-86 44 35 145 62
-87 101 36 85 98
-88 37 28 149 106
-89 38 160 118 173
-90 45 56 40 151
-91 157 147 41 63
-92 111 162 42 152
-93 70 81 151 43
-94 44 67 116 140
-95 143 176 46 54
-96 177 47 148 170
-97 178 38 49 104
-98 22 179 51 87
-99 156 62 52 153
-100 154 101 180 53
-101 56 100 188 87
-102 57 181 150 172
-103 155 58 182 109
-104 59 169 41 97
-105 60 192 51 161
-106 88 178 17 61
-107 114 161 183 43
-108 167 178 158 64
-109 165 176 103 65
-110 66 166 159 163
-111 69 168 92 151
-112 113 135 28 53
-113 121 112 70 160
-114 144 36 117 107
-115 67 157 82 50
-116 143 158 94 185
-117 45 123 114 186
-118 89 124 149 119
-119 122 126 118 130
-120 154 39 128 163
-121 113 142 153 164
-122 132 136 119 141
-123 11 33 117 162
-124 176 12 34 118
-125 55 35 181 10
-126 1 36 182 119
-127 39 30 52 74
-128 40 64 76 120
-129 144 159 84 42
-130 44 147 119 164
-131 77 45 189 29
-132 122 46 167 190
-133 47 139 21 186
-134 26 49 71 185
-135 177 112 69 51
-136 56 122 80 170
-137 57 180 140 184
-138 79 156 58 141
-139 66 133 169 83
-140 165 69 137 94
-141 122 60 138 73
-142 121 143 9 75
-143 78 116 95 142
-144 68 80 114 129
-145 81 27 86 65
-146 3 83 171 164
-147 91 130 32 76
-148 84 172 85 96
-149 88 24 118 185
-150 102 15 73 186
-151 111 90 93 172
-152 179 92 31 75
-153 99 121 165 190
-154 100 189 174 120
-155 14 103 191 160
-156 99 178 138 8
-157 187 91 115 61
-158 116 171 108 175
-159 110 5 192 129
-160 89 155 113 184
-161 72 105 30 107
-162 188 123 92 60
-163 110 179 170 120
-164 121 146 49 130
-165 140 10 109 153
-166 110 168 27 183
-167 11 132 84 108
-168 78 111 166 3
-169 24 69 104 139
-170 4 136 96 163
-171 146 158 173 65
-172 102 148 151 174
-173 89 171 19 74
-174 154 1 79 172
-175 2 80 158 191
-176 124 95 63 109
-177 135 16 18 96
-178 156 106 97 108
-179 55 152 163 98
-180 100 137 192 7
-181 188 102 125 9
-182 187 103 126 64
-183 166 57 48 107
-184 137 61 160 29
-185 134 58 116 149
-186 133 117 150 53
-187 23 157 182 62
-188 66 101 181 162
-189 154 25 42 131
-190 132 6 41 153
-191 155 50 52 175
-192 180 159 105 20
0