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