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