Graph forms
for C4 [ 200, 5 ] = {4,4}_14,2
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On this page are computer-accessible forms for the graph C4[ 200, 5 ] =
{4,4}_14,2.
(I) Following is a form readable by MAGMA:
g:=Graph<200|{ {2, 3}, {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}, {156, 157}, {154, 155}, {152, 153},
{150, 151}, {148, 149}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58,
59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42,
43}, {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}, {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}, {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}, {1, 2}, {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}, {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}, {69, 70}, {73,
74}, {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}, {145, 146}, {3, 4}, {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}, {96, 110}, {97, 111}, {7, 8}, {199, 200}, {183, 184}, {167, 168}, {151,
152}, {55, 56}, {23, 24}, {39, 40}, {71, 72}, {87, 88}, {103, 104}, {119, 120},
{135, 136}, {98, 112}, {99, 113}, {100, 114}, {15, 16}, {175, 176}, {47, 48},
{79, 80}, {111, 112}, {143, 144}, {87, 101}, {90, 104}, {91, 105}, {94, 108},
{95, 109}, {92, 106}, {93, 107}, {88, 102}, {89, 103}, {31, 32}, {159, 160},
{95, 96}, {1, 101}, {2, 102}, {3, 103}, {8, 108}, {9, 109}, {10, 110}, {11,
111}, {16, 116}, {17, 117}, {18, 118}, {19, 119}, {24, 124}, {25, 125}, {26,
126}, {27, 127}, {1, 100}, {4, 104}, {5, 105}, {6, 106}, {7, 107}, {20, 120},
{21, 121}, {22, 122}, {23, 123}, {1, 115}, {4, 118}, {5, 119}, {8, 122}, {9,
123}, {12, 126}, {13, 127}, {2, 116}, {3, 117}, {10, 124}, {11, 125}, {12, 112},
{13, 113}, {14, 114}, {15, 115}, {6, 120}, {7, 121}, {63, 64}, {191, 192}, {14,
128}, {63, 177}, {62, 176}, {47, 161}, {46, 160}, {15, 129}, {30, 144}, {31,
145}, {78, 192}, {79, 193}, {16, 130}, {61, 175}, {60, 174}, {57, 171}, {56,
170}, {53, 167}, {52, 166}, {49, 163}, {48, 162}, {17, 131}, {20, 134}, {21,
135}, {24, 138}, {25, 139}, {28, 142}, {29, 143}, {80, 194}, {81, 195}, {84,
198}, {85, 199}, {18, 132}, {59, 173}, {58, 172}, {51, 165}, {50, 164}, {19,
133}, {26, 140}, {27, 141}, {82, 196}, {83, 197}, {28, 128}, {63, 163}, {62,
162}, {61, 161}, {60, 160}, {29, 129}, {30, 130}, {31, 131}, {92, 192}, {93,
193}, {94, 194}, {95, 195}, {22, 136}, {55, 169}, {54, 168}, {23, 137}, {86,
200}, {32, 132}, {59, 159}, {58, 158}, {57, 157}, {56, 156}, {51, 151}, {50,
150}, {49, 149}, {48, 148}, {43, 143}, {42, 142}, {41, 141}, {33, 133}, {34,
134}, {35, 135}, {40, 140}, {96, 196}, {97, 197}, {98, 198}, {99, 199}, {36,
136}, {55, 155}, {54, 154}, {53, 153}, {52, 152}, {37, 137}, {38, 138}, {39,
139}, {100, 200}, {101, 200}, {32, 146}, {45, 159}, {44, 158}, {41, 155}, {33,
147}, {36, 150}, {37, 151}, {40, 154}, {34, 148}, {43, 157}, {42, 156}, {35,
149}, {44, 144}, {47, 147}, {46, 146}, {45, 145}, {38, 152}, {39, 153}, {64,
164}, {67, 167}, {66, 166}, {65, 165}, {72, 172}, {73, 173}, {74, 174}, {75,
175}, {80, 180}, {81, 181}, {82, 182}, {83, 183}, {88, 188}, {89, 189}, {90,
190}, {91, 191}, {68, 168}, {69, 169}, {70, 170}, {71, 171}, {84, 184}, {85,
185}, {86, 186}, {87, 187}, {64, 178}, {65, 179}, {68, 182}, {69, 183}, {72,
186}, {73, 187}, {76, 190}, {77, 191}, {66, 180}, {67, 181}, {74, 188}, {75,
189}, {76, 176}, {77, 177}, {78, 178}, {79, 179}, {70, 184}, {71, 185}, {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: (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) (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, 101, 100, 115)(3, 87, 99, 15)(4, 187, 98, 129)(5, 73, 97, 29)(6, 173, 96,
143)(7, 59, 95, 43)(8, 159, 94, 157)(9, 45, 93, 57)(10, 145, 92, 171)(11, 31,
91, 71)(12, 131, 90, 185)(13, 17, 89, 85)(14, 117, 88, 199)(16, 103, 86,
113)(18, 189, 84, 127)(19, 75, 83, 27)(20, 175, 82, 141)(21, 61, 81, 41)(22,
161, 80, 155)(23, 47, 79, 55)(24, 147, 78, 169)(25, 33, 77, 69)(26, 133, 76,
183)(28, 119, 74, 197)(30, 105, 72, 111)(32, 191, 70, 125)(34, 177, 68, 139)(35,
63, 67, 39)(36, 163, 66, 153)(37, 49, 65, 53)(38, 149, 64, 167)(40, 135, 62,
181)(42, 121, 60, 195)(44, 107, 58, 109)(46, 193, 56, 123)(48, 179, 54, 137)(50,
165, 52, 151)(102, 200, 114, 116)(104, 186, 112, 130)(106, 172, 110, 144)(108,
158)(118, 188, 198, 128)(120, 174, 196, 142)(122, 160, 194, 156)(124, 146, 192,
170)(126, 132, 190, 184)(134, 176, 182, 140)(136, 162, 180, 154)(138, 148, 178,
168)(150, 164, 166, 152)
C4[ 200, 5 ]
200
-1 100 2 101 115
-2 1 3 102 116
-3 2 4 103 117
-4 3 5 104 118
-5 4 6 105 119
-6 5 7 106 120
-7 121 6 8 107
-8 122 7 9 108
-9 123 8 10 109
-10 11 110 124 9
-11 12 111 125 10
-12 11 13 112 126
-13 12 14 113 127
-14 13 15 114 128
-15 14 16 115 129
-16 15 17 116 130
-17 16 18 117 131
-18 132 17 19 118
-19 133 18 20 119
-20 134 19 21 120
-21 22 121 135 20
-22 23 122 136 21
-23 22 24 123 137
-24 23 25 124 138
-25 24 26 125 139
-26 25 27 126 140
-27 26 28 127 141
-28 27 29 128 142
-29 143 28 30 129
-30 144 29 31 130
-31 145 30 32 131
-32 33 132 146 31
-33 34 133 147 32
-34 33 35 134 148
-35 34 36 135 149
-36 35 37 136 150
-37 36 38 137 151
-38 37 39 138 152
-39 38 40 139 153
-40 154 39 41 140
-41 155 40 42 141
-42 156 41 43 142
-43 44 143 157 42
-44 45 144 158 43
-45 44 46 145 159
-46 45 47 146 160
-47 46 48 147 161
-48 47 49 148 162
-49 48 50 149 163
-50 49 51 150 164
-51 165 50 52 151
-52 166 51 53 152
-53 167 52 54 153
-54 55 154 168 53
-55 56 155 169 54
-56 55 57 156 170
-57 56 58 157 171
-58 57 59 158 172
-59 58 60 159 173
-60 59 61 160 174
-61 60 62 161 175
-62 176 61 63 162
-63 177 62 64 163
-64 178 63 65 164
-65 66 165 179 64
-66 67 166 180 65
-67 66 68 167 181
-68 67 69 168 182
-69 68 70 169 183
-70 69 71 170 184
-71 70 72 171 185
-72 71 73 172 186
-73 187 72 74 173
-74 188 73 75 174
-75 189 74 76 175
-76 77 176 190 75
-77 78 177 191 76
-78 77 79 178 192
-79 78 80 179 193
-80 79 81 180 194
-81 80 82 181 195
-82 81 83 182 196
-83 82 84 183 197
-84 198 83 85 184
-85 199 84 86 185
-86 200 85 87 186
-87 88 187 101 86
-88 89 188 102 87
-89 88 90 189 103
-90 89 91 190 104
-91 90 92 191 105
-92 91 93 192 106
-93 92 94 193 107
-94 93 95 194 108
-95 94 96 195 109
-96 110 95 97 196
-97 111 96 98 197
-98 99 198 112 97
-99 100 199 113 98
-100 99 1 200 114
-101 1 200 102 87
-102 88 2 101 103
-103 89 3 102 104
-104 90 4 103 105
-105 91 5 104 106
-106 92 6 105 107
-107 93 7 106 108
-108 94 8 107 109
-109 110 95 9 108
-110 111 96 10 109
-111 11 110 112 97
-112 12 111 113 98
-113 99 13 112 114
-114 100 14 113 115
-115 1 15 114 116
-116 2 16 115 117
-117 3 17 116 118
-118 4 18 117 119
-119 5 19 118 120
-120 121 6 20 119
-121 122 7 21 120
-122 22 121 123 8
-123 23 122 124 9
-124 24 123 125 10
-125 11 25 124 126
-126 12 26 125 127
-127 13 27 126 128
-128 14 28 127 129
-129 15 29 128 130
-130 16 30 129 131
-131 132 17 31 130
-132 133 18 32 131
-133 33 132 134 19
-134 34 133 135 20
-135 35 134 136 21
-136 22 36 135 137
-137 23 37 136 138
-138 24 38 137 139
-139 25 39 138 140
-140 26 40 139 141
-141 27 41 140 142
-142 143 28 42 141
-143 144 29 43 142
-144 44 143 145 30
-145 45 144 146 31
-146 46 145 147 32
-147 33 47 146 148
-148 34 48 147 149
-149 35 49 148 150
-150 36 50 149 151
-151 37 51 150 152
-152 38 52 151 153
-153 154 39 53 152
-154 155 40 54 153
-155 55 154 156 41
-156 56 155 157 42
-157 57 156 158 43
-158 44 58 157 159
-159 45 59 158 160
-160 46 60 159 161
-161 47 61 160 162
-162 48 62 161 163
-163 49 63 162 164
-164 165 50 64 163
-165 166 51 65 164
-166 66 165 167 52
-167 67 166 168 53
-168 68 167 169 54
-169 55 69 168 170
-170 56 70 169 171
-171 57 71 170 172
-172 58 72 171 173
-173 59 73 172 174
-174 60 74 173 175
-175 176 61 75 174
-176 177 62 76 175
-177 77 176 178 63
-178 78 177 179 64
-179 79 178 180 65
-180 66 80 179 181
-181 67 81 180 182
-182 68 82 181 183
-183 69 83 182 184
-184 70 84 183 185
-185 71 85 184 186
-186 187 72 86 185
-187 188 73 87 186
-188 88 187 189 74
-189 89 188 190 75
-190 90 189 191 76
-191 77 91 190 192
-192 78 92 191 193
-193 79 93 192 194
-194 80 94 193 195
-195 81 95 194 196
-196 82 96 195 197
-197 198 83 97 196
-198 199 84 98 197
-199 99 198 200 85
-200 100 199 101 86
0