Graph forms
for C4 [ 208, 9 ] = MPS(8,52;5)
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On this page are computer-accessible forms for the graph C4[ 208, 9 ] =
MPS(8,52;5).
(I) Following is a form readable by MAGMA:
g:=Graph<208|{ {52, 55}, {156, 159}, {51, 54}, {155, 158}, {50, 53}, {154, 157},
{96, 107}, {100, 111}, {67, 79}, {179, 191}, {176, 188}, {177, 189}, {178, 190},
{66, 79}, {178, 191}, {99, 110}, {97, 108}, {176, 189}, {98, 109}, {177, 190},
{96, 112}, {102, 118}, {101, 117}, {100, 116}, {99, 115}, {98, 114}, {97, 113},
{103, 119}, {104, 120}, {67, 80}, {75, 88}, {71, 84}, {171, 184}, {175, 188},
{68, 80}, {78, 90}, {77, 89}, {76, 88}, {71, 83}, {70, 82}, {69, 81}, {172,
184}, {173, 185}, {174, 186}, {175, 187}, {68, 81}, {101, 112}, {78, 91}, {76,
89}, {70, 83}, {103, 114}, {172, 185}, {174, 187}, {69, 82}, {102, 113}, {77,
90}, {173, 186}, {32, 56}, {33, 57}, {34, 58}, {35, 59}, {36, 60}, {37, 61},
{38, 62}, {39, 63}, {133, 157}, {134, 158}, {135, 159}, {2, 27}, {4, 29}, {6,
31}, {128, 153}, {130, 155}, {1, 27}, {4, 30}, {5, 31}, {128, 154}, {129, 155},
{5, 30}, {104, 115}, {129, 154}, {72, 84}, {75, 87}, {74, 86}, {73, 85}, {171,
183}, {32, 61}, {74, 87}, {72, 85}, {34, 63}, {170, 183}, {2, 28}, {3, 29},
{130, 156}, {3, 28}, {73, 86}, {33, 62}, {27, 56}, {31, 60}, {131, 160}, {135,
164}, {139, 168}, {143, 172}, {147, 176}, {151, 180}, {28, 57}, {90, 127}, {88,
125}, {82, 119}, {80, 117}, {30, 59}, {132, 161}, {134, 163}, {140, 169}, {142,
171}, {148, 177}, {150, 179}, {6, 32}, {65, 103}, {64, 102}, {7, 33}, {14, 40},
{15, 41}, {22, 48}, {23, 49}, {7, 32}, {89, 126}, {81, 118}, {64, 103}, {15,
40}, {23, 48}, {29, 58}, {133, 162}, {141, 170}, {149, 178}, {29, 53}, {30, 54},
{31, 55}, {136, 160}, {137, 161}, {138, 162}, {139, 163}, {140, 164}, {141,
165}, {142, 166}, {143, 167}, {152, 176}, {153, 177}, {154, 178}, {155, 179},
{156, 180}, {8, 33}, {65, 104}, {10, 35}, {12, 37}, {14, 39}, {24, 49}, {26,
51}, {8, 34}, {85, 127}, {84, 126}, {81, 123}, {80, 122}, {66, 104}, {9, 35},
{12, 38}, {13, 39}, {24, 50}, {25, 51}, {9, 34}, {87, 124}, {83, 120}, {13, 38},
{25, 50}, {84, 121}, {86, 123}, {136, 165}, {138, 167}, {152, 181}, {10, 36},
{83, 125}, {82, 124}, {11, 37}, {26, 52}, {11, 36}, {85, 122}, {137, 166}, {153,
182}, {89, 105}, {95, 111}, {94, 110}, {93, 109}, {92, 108}, {91, 107}, {90,
106}, {132, 182}, {1, 52}, {95, 106}, {79, 121}, {131, 181}, {94, 105}, {144,
168}, {145, 169}, {146, 170}, {147, 171}, {148, 172}, {149, 173}, {150, 174},
{151, 175}, {16, 41}, {18, 43}, {20, 45}, {22, 47}, {16, 42}, {17, 43}, {20,
46}, {21, 47}, {17, 42}, {79, 116}, {21, 46}, {144, 173}, {146, 175}, {18, 44},
{19, 45}, {19, 44}, {145, 174}, {28, 78}, {27, 77}, {57, 96}, {63, 102}, {61,
100}, {59, 98}, {157, 196}, {159, 198}, {58, 96}, {63, 101}, {62, 100}, {59,
97}, {158, 196}, {159, 197}, {58, 97}, {62, 101}, {158, 197}, {60, 98}, {61,
99}, {157, 195}, {60, 99}, {35, 64}, {39, 68}, {43, 72}, {47, 76}, {36, 65},
{38, 67}, {44, 73}, {46, 75}, {56, 94}, {57, 95}, {160, 198}, {161, 199}, {168,
206}, {169, 207}, {37, 66}, {56, 95}, {45, 74}, {160, 199}, {168, 207}, {40,
64}, {41, 65}, {42, 66}, {43, 67}, {44, 68}, {45, 69}, {46, 70}, {47, 71}, {53,
92}, {55, 94}, {161, 200}, {163, 202}, {165, 204}, {167, 206}, {54, 92}, {55,
93}, {162, 200}, {163, 201}, {166, 204}, {167, 205}, {54, 93}, {162, 201}, {166,
205}, {40, 69}, {42, 71}, {53, 91}, {164, 202}, {165, 203}, {41, 70}, {164,
203}, {179, 192}, {180, 192}, {182, 194}, {181, 193}, {180, 193}, {182, 195},
{181, 194}, {48, 72}, {52, 76}, {51, 75}, {50, 74}, {49, 73}, {169, 208}, {170,
208}, {48, 77}, {49, 78}, {26, 184}, {25, 183}, {4, 183}, {8, 187}, {12, 191},
{9, 188}, {11, 190}, {10, 189}, {1, 185}, {2, 186}, {3, 187}, {4, 188}, {5,
189}, {6, 190}, {7, 191}, {5, 184}, {7, 186}, {6, 185}, {8, 192}, {9, 193}, {10,
194}, {11, 195}, {12, 196}, {13, 197}, {14, 198}, {15, 199}, {24, 208}, {2,
207}, {13, 192}, {15, 194}, {1, 206}, {14, 193}, {3, 208}, {16, 195}, {20, 199},
{24, 203}, {17, 196}, {19, 198}, {25, 204}, {86, 128}, {87, 129}, {18, 197},
{26, 205}, {16, 200}, {17, 201}, {18, 202}, {19, 203}, {20, 204}, {21, 205},
{22, 206}, {23, 207}, {88, 130}, {91, 128}, {21, 200}, {92, 129}, {23, 202},
{22, 201}, {93, 130}, {110, 136}, {111, 137}, {118, 144}, {119, 145}, {126,
152}, {127, 153}, {111, 136}, {119, 144}, {127, 152}, {106, 131}, {108, 133},
{110, 135}, {120, 145}, {122, 147}, {124, 149}, {126, 151}, {105, 131}, {108,
134}, {109, 135}, {120, 146}, {121, 147}, {124, 150}, {125, 151}, {109, 134},
{121, 146}, {125, 150}, {106, 132}, {107, 133}, {122, 148}, {123, 149}, {107,
132}, {123, 148}, {105, 156}, {112, 137}, {114, 139}, {116, 141}, {118, 143},
{112, 138}, {113, 139}, {116, 142}, {117, 143}, {113, 138}, {117, 142}, {114,
140}, {115, 141}, {115, 140} }>;
(II) A more general form is to represent the graph as the orbit of {52, 55}
under the group generated by the following permutations:
a: (2, 6, 26, 22)(3, 11, 25, 17)(4, 16, 24, 12)(5, 21, 23, 7)(8, 10, 20, 18)(9,
15, 19, 13)(27, 185, 52, 206)(28, 190, 51, 201)(29, 195, 50, 196)(30, 200, 49,
191)(31, 205, 48, 186)(32, 184, 47, 207)(33, 189, 46, 202)(34, 194, 45, 197)(35,
199, 44, 192)(36, 204, 43, 187)(37, 183, 42, 208)(38, 188, 41, 203)(39, 193, 40,
198)(53, 157)(54, 162, 78, 178)(55, 167, 77, 173)(56, 172, 76, 168)(57, 177, 75,
163)(58, 182, 74, 158)(59, 161, 73, 179)(60, 166, 72, 174)(61, 171, 71, 169)(62,
176, 70, 164)(63, 181, 69, 159)(64, 160, 68, 180)(65, 165, 67, 175)(66, 170)(79,
146, 104, 141)(80, 151, 103, 136)(81, 156, 102, 131)(82, 135, 101, 152)(83, 140,
100, 147)(84, 145, 99, 142)(85, 150, 98, 137)(86, 155, 97, 132)(87, 134, 96,
153)(88, 139, 95, 148)(89, 144, 94, 143)(90, 149, 93, 138)(91, 154, 92,
133)(105, 118)(106, 123, 130, 113)(107, 128, 129, 108)(109, 112, 127, 124)(110,
117, 126, 119)(111, 122, 125, 114)(115, 116, 121, 120) (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, 27, 2, 28, 3, 29, 4, 30, 5, 31, 6, 32, 7, 33, 8, 34, 9, 35, 10, 36, 11,
37, 12, 38, 13, 39, 14, 40, 15, 41, 16, 42, 17, 43, 18, 44, 19, 45, 20, 46, 21,
47, 22, 48, 23, 49, 24, 50, 25, 51, 26, 52)(53, 183, 54, 184, 55, 185, 56, 186,
57, 187, 58, 188, 59, 189, 60, 190, 61, 191, 62, 192, 63, 193, 64, 194, 65, 195,
66, 196, 67, 197, 68, 198, 69, 199, 70, 200, 71, 201, 72, 202, 73, 203, 74, 204,
75, 205, 76, 206, 77, 207, 78, 208)(79, 158, 80, 159, 81, 160, 82, 161, 83, 162,
84, 163, 85, 164, 86, 165, 87, 166, 88, 167, 89, 168, 90, 169, 91, 170, 92, 171,
93, 172, 94, 173, 95, 174, 96, 175, 97, 176, 98, 177, 99, 178, 100, 179, 101,
180, 102, 181, 103, 182, 104, 157)(105, 144, 106, 145, 107, 146, 108, 147, 109,
148, 110, 149, 111, 150, 112, 151, 113, 152, 114, 153, 115, 154, 116, 155, 117,
156, 118, 131, 119, 132, 120, 133, 121, 134, 122, 135, 123, 136, 124, 137, 125,
138, 126, 139, 127, 140, 128, 141, 129, 142, 130, 143)
c: (2, 26)(3, 25)(4, 24)(5, 23)(6, 22)(7, 21)(8, 20)(9, 19)(10, 18)(11, 17)(12,
16)(13, 15)(27, 52)(28, 51)(29, 50)(30, 49)(31, 48)(32, 47)(33, 46)(34, 45)(35,
44)(36, 43)(37, 42)(38, 41)(39, 40)(54, 78)(55, 77)(56, 76)(57, 75)(58, 74)(59,
73)(60, 72)(61, 71)(62, 70)(63, 69)(64, 68)(65, 67)(79, 104)(80, 103)(81,
102)(82, 101)(83, 100)(84, 99)(85, 98)(86, 97)(87, 96)(88, 95)(89, 94)(90,
93)(91, 92)(106, 130)(107, 129)(108, 128)(109, 127)(110, 126)(111, 125)(112,
124)(113, 123)(114, 122)(115, 121)(116, 120)(117, 119)(131, 156)(132, 155)(133,
154)(134, 153)(135, 152)(136, 151)(137, 150)(138, 149)(139, 148)(140, 147)(141,
146)(142, 145)(143, 144)(158, 182)(159, 181)(160, 180)(161, 179)(162, 178)(163,
177)(164, 176)(165, 175)(166, 174)(167, 173)(168, 172)(169, 171)(183, 208)(184,
207)(185, 206)(186, 205)(187, 204)(188, 203)(189, 202)(190, 201)(191, 200)(192,
199)(193, 198)(194, 197)(195, 196)
d: (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, 193, 194, 195, 196,
197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208)
C4[ 208, 9 ]
208
-1 27 52 206 185
-2 27 28 207 186
-3 187 28 29 208
-4 188 29 183 30
-5 189 30 184 31
-6 190 31 185 32
-7 33 191 32 186
-8 33 187 34 192
-9 34 188 35 193
-10 35 189 36 194
-11 36 190 37 195
-12 37 191 38 196
-13 38 192 39 197
-14 198 39 193 40
-15 199 40 194 41
-16 200 41 195 42
-17 201 42 196 43
-18 44 202 43 197
-19 44 198 45 203
-20 45 199 46 204
-21 46 200 47 205
-22 47 201 48 206
-23 48 202 49 207
-24 49 203 50 208
-25 50 204 51 183
-26 51 205 52 184
-27 77 1 56 2
-28 78 2 57 3
-29 3 58 4 53
-30 4 59 5 54
-31 55 5 60 6
-32 56 6 61 7
-33 57 7 62 8
-34 58 8 63 9
-35 59 9 64 10
-36 11 60 10 65
-37 11 66 12 61
-38 12 67 13 62
-39 13 68 14 63
-40 14 69 15 64
-41 15 70 16 65
-42 66 16 71 17
-43 67 17 72 18
-44 68 18 73 19
-45 69 19 74 20
-46 70 20 75 21
-47 22 71 21 76
-48 22 77 23 72
-49 23 78 24 73
-50 24 25 74 53
-51 25 26 75 54
-52 55 1 26 76
-53 91 92 50 29
-54 92 93 51 30
-55 93 94 52 31
-56 27 94 95 32
-57 33 28 95 96
-58 34 29 96 97
-59 35 30 97 98
-60 99 36 31 98
-61 99 100 37 32
-62 33 100 101 38
-63 34 101 102 39
-64 35 102 103 40
-65 36 103 104 41
-66 79 37 104 42
-67 79 80 38 43
-68 44 80 81 39
-69 45 81 82 40
-70 46 82 83 41
-71 47 83 84 42
-72 48 84 85 43
-73 44 49 85 86
-74 45 50 86 87
-75 88 46 51 87
-76 88 89 47 52
-77 89 90 48 27
-78 90 91 49 28
-79 66 121 67 116
-80 67 122 68 117
-81 68 123 69 118
-82 69 124 70 119
-83 70 125 71 120
-84 121 71 126 72
-85 122 72 127 73
-86 123 73 128 74
-87 124 74 129 75
-88 125 75 130 76
-89 77 126 105 76
-90 77 78 127 106
-91 78 128 107 53
-92 129 53 108 54
-93 55 130 54 109
-94 55 110 56 105
-95 56 111 57 106
-96 57 112 58 107
-97 58 113 59 108
-98 59 114 60 109
-99 110 60 115 61
-100 111 61 116 62
-101 112 62 117 63
-102 113 63 118 64
-103 114 64 119 65
-104 66 115 65 120
-105 89 156 94 131
-106 132 90 95 131
-107 132 133 91 96
-108 133 134 92 97
-109 134 135 93 98
-110 99 135 136 94
-111 100 136 137 95
-112 101 137 138 96
-113 102 138 139 97
-114 103 139 140 98
-115 99 104 140 141
-116 100 79 141 142
-117 143 101 80 142
-118 143 144 102 81
-119 144 145 103 82
-120 145 146 104 83
-121 79 146 147 84
-122 80 147 148 85
-123 81 148 149 86
-124 82 149 150 87
-125 88 83 150 151
-126 89 84 151 152
-127 90 85 152 153
-128 154 91 86 153
-129 154 155 92 87
-130 88 155 156 93
-131 181 105 160 106
-132 182 106 161 107
-133 157 107 162 108
-134 158 108 163 109
-135 110 159 109 164
-136 110 165 111 160
-137 111 166 112 161
-138 112 167 113 162
-139 113 168 114 163
-140 114 169 115 164
-141 165 115 170 116
-142 166 116 171 117
-143 167 117 172 118
-144 168 118 173 119
-145 169 119 174 120
-146 121 170 120 175
-147 121 176 122 171
-148 122 177 123 172
-149 123 178 124 173
-150 124 179 125 174
-151 125 180 126 175
-152 176 126 181 127
-153 177 127 182 128
-154 178 157 128 129
-155 179 158 129 130
-156 180 159 105 130
-157 154 133 195 196
-158 155 134 196 197
-159 198 156 135 197
-160 198 199 136 131
-161 132 199 200 137
-162 133 200 201 138
-163 134 201 202 139
-164 135 202 203 140
-165 136 203 204 141
-166 137 204 205 142
-167 143 138 205 206
-168 144 139 206 207
-169 145 140 207 208
-170 146 183 141 208
-171 147 183 184 142
-172 143 148 184 185
-173 144 149 185 186
-174 187 145 150 186
-175 187 188 146 151
-176 188 189 147 152
-177 189 190 148 153
-178 154 190 191 149
-179 155 191 192 150
-180 156 192 193 151
-181 193 194 152 131
-182 132 194 195 153
-183 25 4 170 171
-184 26 5 171 172
-185 1 6 172 173
-186 2 7 173 174
-187 3 8 174 175
-188 176 4 9 175
-189 176 177 5 10
-190 11 177 178 6
-191 12 178 179 7
-192 13 179 180 8
-193 14 180 181 9
-194 15 181 182 10
-195 11 157 16 182
-196 12 157 158 17
-197 13 158 159 18
-198 14 159 160 19
-199 15 160 161 20
-200 16 161 162 21
-201 22 17 162 163
-202 23 18 163 164
-203 165 24 19 164
-204 165 166 25 20
-205 166 167 26 21
-206 22 1 167 168
-207 23 2 168 169
-208 24 3 169 170
0