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