Graph forms
for C4 [ 208, 4 ] = {4,4}_12,8
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On this page are computer-accessible forms for the graph C4[ 208, 4 ] =
{4,4}_12,8.
(I) Following is a form readable by MAGMA:
g:=Graph<208|{ {2, 3}, {206, 207}, {204, 205}, {202, 203}, {200, 201}, {198,
199}, {196, 197}, {194, 195}, {192, 193}, {190, 191}, {188, 189}, {186, 187},
{184, 185}, {182, 183}, {180, 181}, {178, 179}, {176, 177}, {174, 175}, {172,
173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162, 163}, {160, 161},
{158, 159}, {154, 155}, {152, 153}, {150, 151}, {148, 149}, {146, 147}, {144,
145}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58,
59}, {56, 57}, {54, 55}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40,
41}, {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}, {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}, {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}, {1, 2}, {205, 206}, {201, 202}, {197, 198}, {193, 194}, {189, 190},
{185, 186}, {181, 182}, {177, 178}, {173, 174}, {169, 170}, {165, 166}, {161,
162}, {157, 158}, {153, 154}, {149, 150}, {145, 146}, {73, 74}, {69, 70}, {65,
66}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {5, 6}, {9,
10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {77,
78}, {81, 82}, {85, 86}, {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}, {3, 4}, {203, 204}, {195, 196}, {187, 188}, {179,
180}, {171, 172}, {163, 164}, {155, 156}, {147, 148}, {67, 68}, {59, 60}, {51,
52}, {43, 44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {75, 76}, {83, 84}, {91,
92}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {7,
8}, {199, 200}, {183, 184}, {167, 168}, {151, 152}, {71, 72}, {55, 56}, {23,
24}, {39, 40}, {87, 88}, {103, 104}, {119, 120}, {135, 136}, {15, 16}, {207,
208}, {175, 176}, {143, 144}, {47, 48}, {79, 80}, {111, 112}, {1, 53}, {72,
124}, {67, 119}, {66, 118}, {65, 117}, {64, 116}, {2, 54}, {3, 55}, {8, 60}, {9,
61}, {10, 62}, {11, 63}, {73, 125}, {74, 126}, {75, 127}, {128, 180}, {129,
181}, {130, 182}, {131, 183}, {136, 188}, {137, 189}, {138, 190}, {139, 191},
{1, 52}, {4, 56}, {71, 123}, {70, 122}, {69, 121}, {68, 120}, {5, 57}, {6, 58},
{7, 59}, {132, 184}, {133, 185}, {134, 186}, {135, 187}, {31, 32}, {159, 160},
{95, 96}, {12, 64}, {156, 208}, {143, 195}, {142, 194}, {63, 115}, {62, 114},
{61, 113}, {60, 112}, {47, 99}, {46, 98}, {45, 97}, {44, 96}, {13, 65}, {14,
66}, {15, 67}, {28, 80}, {29, 81}, {30, 82}, {31, 83}, {140, 192}, {141, 193},
{157, 208}, {16, 68}, {155, 207}, {154, 206}, {153, 205}, {152, 204}, {147,
199}, {146, 198}, {145, 197}, {144, 196}, {59, 111}, {58, 110}, {57, 109}, {56,
108}, {51, 103}, {50, 102}, {49, 101}, {48, 100}, {17, 69}, {18, 70}, {19, 71},
{24, 76}, {25, 77}, {26, 78}, {27, 79}, {20, 72}, {151, 203}, {150, 202}, {149,
201}, {148, 200}, {55, 107}, {54, 106}, {53, 105}, {52, 104}, {21, 73}, {22,
74}, {23, 75}, {53, 104}, {32, 84}, {43, 95}, {42, 94}, {41, 93}, {40, 92}, {33,
85}, {34, 86}, {35, 87}, {36, 88}, {37, 89}, {38, 90}, {39, 91}, {63, 64}, {191,
192}, {21, 157}, {52, 188}, {51, 187}, {50, 186}, {49, 185}, {48, 184}, {22,
158}, {23, 159}, {32, 168}, {33, 169}, {34, 170}, {35, 171}, {36, 172}, {37,
173}, {38, 174}, {39, 175}, {40, 176}, {47, 183}, {46, 182}, {45, 181}, {44,
180}, {43, 179}, {42, 178}, {41, 177}, {24, 160}, {25, 161}, {26, 162}, {27,
163}, {28, 164}, {29, 165}, {30, 166}, {31, 167}, {1, 189}, {2, 190}, {3, 191},
{4, 192}, {5, 193}, {6, 194}, {7, 195}, {12, 200}, {13, 201}, {14, 202}, {15,
203}, {20, 208}, {8, 196}, {9, 197}, {10, 198}, {11, 199}, {76, 128}, {77, 129},
{78, 130}, {79, 131}, {92, 144}, {93, 145}, {94, 146}, {95, 147}, {108, 160},
{109, 161}, {110, 162}, {111, 163}, {124, 176}, {125, 177}, {126, 178}, {127,
179}, {80, 132}, {81, 133}, {82, 134}, {83, 135}, {88, 140}, {89, 141}, {90,
142}, {91, 143}, {112, 164}, {113, 165}, {114, 166}, {115, 167}, {120, 172},
{121, 173}, {122, 174}, {123, 175}, {16, 204}, {17, 205}, {18, 206}, {19, 207},
{84, 136}, {85, 137}, {86, 138}, {87, 139}, {116, 168}, {117, 169}, {118, 170},
{119, 171}, {96, 148}, {97, 149}, {98, 150}, {99, 151}, {104, 156}, {105, 157},
{106, 158}, {107, 159}, {105, 156}, {100, 152}, {101, 153}, {102, 154}, {103,
155}, {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, 53, 52, 189)(3, 105, 51, 137)(4, 157, 50, 85)(5, 21, 49, 33)(6, 73, 48,
169)(7, 125, 47, 117)(8, 177, 46, 65)(9, 41, 45, 13)(10, 93, 44, 201)(11, 145,
43, 149)(12, 197, 42, 97)(14, 61, 40, 181)(15, 113, 39, 129)(16, 165, 38,
77)(17, 29, 37, 25)(18, 81, 36, 161)(19, 133, 35, 109)(20, 185, 34, 57)(22, 101,
32, 193)(23, 153, 31, 141)(24, 205, 30, 89)(26, 69, 28, 173)(27, 121)(54, 104,
188, 190)(55, 156, 187, 138)(56, 208, 186, 86)(58, 72, 184, 170)(59, 124, 183,
118)(60, 176, 182, 66)(62, 92, 180, 202)(63, 144, 179, 150)(64, 196, 178,
98)(67, 112, 175, 130)(68, 164, 174, 78)(70, 80, 172, 162)(71, 132, 171,
110)(74, 100, 168, 194)(75, 152, 167, 142)(76, 204, 166, 90)(79, 120, 163,
122)(82, 88, 160, 206)(83, 140, 159, 154)(84, 192, 158, 102)(87, 108, 207,
134)(91, 128, 203, 114)(94, 96, 200, 198)(95, 148, 199, 146)(99, 116, 195,
126)(103, 136, 191, 106)(107, 155, 135, 139)(111, 123, 131, 119)(115, 143, 127,
151) (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, 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, 4 ]
208
-1 2 189 52 53
-2 1 3 190 54
-3 55 2 4 191
-4 56 3 5 192
-5 57 4 6 193
-6 58 5 7 194
-7 59 6 8 195
-8 60 7 9 196
-9 61 8 10 197
-10 11 198 62 9
-11 12 199 63 10
-12 11 13 200 64
-13 12 14 201 65
-14 66 13 15 202
-15 67 14 16 203
-16 68 15 17 204
-17 69 16 18 205
-18 70 17 19 206
-19 71 18 20 207
-20 72 19 21 208
-21 22 157 73 20
-22 23 158 74 21
-23 22 24 159 75
-24 23 25 160 76
-25 77 24 26 161
-26 78 25 27 162
-27 79 26 28 163
-28 80 27 29 164
-29 165 81 28 30
-30 166 82 29 31
-31 167 83 30 32
-32 33 168 84 31
-33 34 169 85 32
-34 33 35 170 86
-35 34 36 171 87
-36 88 35 37 172
-37 89 36 38 173
-38 90 37 39 174
-39 91 38 40 175
-40 176 92 39 41
-41 177 93 40 42
-42 178 94 41 43
-43 44 179 95 42
-44 45 180 96 43
-45 44 46 181 97
-46 45 47 182 98
-47 99 46 48 183
-48 100 47 49 184
-49 101 48 50 185
-50 102 49 51 186
-51 187 103 50 52
-52 1 188 104 51
-53 1 104 105 54
-54 55 2 106 53
-55 56 3 107 54
-56 55 57 4 108
-57 56 58 5 109
-58 110 57 59 6
-59 111 58 60 7
-60 112 59 61 8
-61 113 60 62 9
-62 114 61 63 10
-63 11 115 62 64
-64 12 116 63 65
-65 66 13 117 64
-66 67 14 118 65
-67 66 68 15 119
-68 67 69 16 120
-69 121 68 70 17
-70 122 69 71 18
-71 123 70 72 19
-72 124 71 73 20
-73 125 72 74 21
-74 22 126 73 75
-75 23 127 74 76
-76 77 24 128 75
-77 78 25 129 76
-78 77 79 26 130
-79 78 80 27 131
-80 132 79 81 28
-81 133 80 82 29
-82 134 81 83 30
-83 135 82 84 31
-84 136 83 85 32
-85 33 137 84 86
-86 34 138 85 87
-87 88 35 139 86
-88 89 36 140 87
-89 88 90 37 141
-90 89 91 38 142
-91 143 90 92 39
-92 144 91 93 40
-93 145 92 94 41
-94 146 93 95 42
-95 147 94 96 43
-96 44 148 95 97
-97 45 149 96 98
-98 99 46 150 97
-99 100 47 151 98
-100 99 101 48 152
-101 100 102 49 153
-102 154 101 103 50
-103 155 102 104 51
-104 156 103 52 53
-105 156 157 106 53
-106 158 105 107 54
-107 55 159 106 108
-108 56 160 107 109
-109 110 57 161 108
-110 111 58 162 109
-111 110 112 59 163
-112 111 113 60 164
-113 165 112 114 61
-114 166 113 115 62
-115 167 114 116 63
-116 168 115 117 64
-117 169 116 118 65
-118 66 170 117 119
-119 67 171 118 120
-120 121 68 172 119
-121 122 69 173 120
-122 121 123 70 174
-123 122 124 71 175
-124 176 123 125 72
-125 177 124 126 73
-126 178 125 127 74
-127 179 126 128 75
-128 180 127 129 76
-129 77 181 128 130
-130 78 182 129 131
-131 132 79 183 130
-132 133 80 184 131
-133 132 134 81 185
-134 133 135 82 186
-135 187 134 136 83
-136 188 135 137 84
-137 189 136 138 85
-138 190 137 139 86
-139 191 138 140 87
-140 88 192 139 141
-141 89 193 140 142
-142 143 90 194 141
-143 144 91 195 142
-144 143 145 92 196
-145 144 146 93 197
-146 198 145 147 94
-147 199 146 148 95
-148 200 147 149 96
-149 201 148 150 97
-150 202 149 151 98
-151 99 203 150 152
-152 100 204 151 153
-153 154 101 205 152
-154 155 102 206 153
-155 154 156 103 207
-156 155 104 105 208
-157 158 105 21 208
-158 22 157 159 106
-159 23 158 160 107
-160 24 159 161 108
-161 25 160 162 109
-162 110 26 161 163
-163 111 27 162 164
-164 165 112 28 163
-165 166 113 29 164
-166 165 167 114 30
-167 166 168 115 31
-168 167 169 116 32
-169 33 168 170 117
-170 34 169 171 118
-171 35 170 172 119
-172 36 171 173 120
-173 121 37 172 174
-174 122 38 173 175
-175 176 123 39 174
-176 177 124 40 175
-177 176 178 125 41
-178 177 179 126 42
-179 178 180 127 43
-180 44 179 181 128
-181 45 180 182 129
-182 46 181 183 130
-183 47 182 184 131
-184 132 48 183 185
-185 133 49 184 186
-186 187 134 50 185
-187 188 135 51 186
-188 187 189 136 52
-189 1 188 190 137
-190 2 189 191 138
-191 3 190 192 139
-192 4 191 193 140
-193 5 192 194 141
-194 6 193 195 142
-195 143 7 194 196
-196 144 8 195 197
-197 198 145 9 196
-198 199 146 10 197
-199 11 198 200 147
-200 12 199 201 148
-201 13 200 202 149
-202 14 201 203 150
-203 15 202 204 151
-204 16 203 205 152
-205 17 204 206 153
-206 154 18 205 207
-207 155 19 206 208
-208 156 157 20 207
0