Graph forms
for C4 [ 201, 1 ] = C_201(1,68)
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On this page are computer-accessible forms for the graph C4[ 201, 1 ] =
C_201(1,68).
(I) Following is a form readable by MAGMA:
g:=Graph<201|{ {2, 3}, {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}, {156, 157}, {154, 155},
{152, 153}, {150, 151}, {148, 149}, {146, 147}, {144, 145}, {142, 143}, {140,
141}, {138, 139}, {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}, {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}, {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}, {145, 146}, {141, 142}, {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},
{3, 4}, {195, 196}, {187, 188}, {179, 180}, {171, 172}, {163, 164}, {155, 156},
{147, 148}, {139, 140}, {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}, {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}, {15, 16}, {175, 176}, {143, 144}, {47, 48}, {79, 80}, {111,
112}, {31, 32}, {159, 160}, {95, 96}, {1, 69}, {59, 127}, {58, 126}, {57, 125},
{56, 124}, {51, 119}, {50, 118}, {49, 117}, {48, 116}, {43, 111}, {42, 110},
{41, 109}, {2, 70}, {3, 71}, {8, 76}, {9, 77}, {10, 78}, {11, 79}, {16, 84},
{17, 85}, {18, 86}, {19, 87}, {24, 92}, {25, 93}, {26, 94}, {27, 95}, {32, 100},
{33, 101}, {34, 102}, {35, 103}, {40, 108}, {128, 196}, {129, 197}, {130, 198},
{131, 199}, {4, 72}, {55, 123}, {54, 122}, {53, 121}, {52, 120}, {5, 73}, {6,
74}, {7, 75}, {20, 88}, {21, 89}, {22, 90}, {23, 91}, {36, 104}, {37, 105}, {38,
106}, {39, 107}, {132, 200}, {133, 201}, {12, 80}, {47, 115}, {46, 114}, {45,
113}, {44, 112}, {13, 81}, {14, 82}, {15, 83}, {28, 96}, {29, 97}, {30, 98},
{31, 99}, {63, 64}, {191, 192}, {2, 135}, {66, 199}, {64, 197}, {58, 191}, {56,
189}, {50, 183}, {48, 181}, {42, 175}, {40, 173}, {8, 141}, {10, 143}, {16,
149}, {18, 151}, {24, 157}, {26, 159}, {32, 165}, {34, 167}, {1, 134}, {65,
198}, {57, 190}, {49, 182}, {41, 174}, {9, 142}, {17, 150}, {25, 158}, {33,
166}, {3, 136}, {67, 200}, {55, 188}, {51, 184}, {7, 140}, {19, 152}, {23, 156},
{35, 168}, {39, 172}, {4, 137}, {54, 187}, {52, 185}, {6, 139}, {20, 153}, {22,
155}, {36, 169}, {38, 171}, {68, 201}, {5, 138}, {53, 186}, {21, 154}, {37,
170}, {11, 144}, {47, 180}, {43, 176}, {15, 148}, {12, 145}, {46, 179}, {44,
177}, {14, 147}, {13, 146}, {45, 178}, {27, 160}, {31, 164}, {60, 128}, {63,
131}, {62, 130}, {61, 129}, {124, 192}, {125, 193}, {126, 194}, {127, 195}, {28,
161}, {30, 163}, {29, 162}, {64, 132}, {67, 135}, {66, 134}, {65, 133}, {72,
140}, {73, 141}, {74, 142}, {75, 143}, {80, 148}, {81, 149}, {82, 150}, {83,
151}, {88, 156}, {89, 157}, {90, 158}, {91, 159}, {96, 164}, {97, 165}, {98,
166}, {99, 167}, {104, 172}, {105, 173}, {106, 174}, {107, 175}, {112, 180},
{113, 181}, {114, 182}, {115, 183}, {120, 188}, {121, 189}, {122, 190}, {123,
191}, {1, 201}, {68, 136}, {69, 137}, {70, 138}, {71, 139}, {84, 152}, {85,
153}, {86, 154}, {87, 155}, {100, 168}, {101, 169}, {102, 170}, {103, 171},
{116, 184}, {117, 185}, {118, 186}, {119, 187}, {76, 144}, {77, 145}, {78, 146},
{79, 147}, {108, 176}, {109, 177}, {110, 178}, {111, 179}, {59, 192}, {63, 196},
{92, 160}, {93, 161}, {94, 162}, {95, 163}, {60, 193}, {62, 195}, {61, 194},
{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, 69)(3, 137)(5, 72)(6, 140)(8, 75)(9, 143)(11, 78)(12, 146)(14, 81)(15,
149)(17, 84)(18, 152)(20, 87)(21, 155)(23, 90)(24, 158)(26, 93)(27, 161)(29,
96)(30, 164)(32, 99)(33, 167)(35, 102)(36, 170)(38, 105)(39, 173)(41, 108)(42,
176)(44, 111)(45, 179)(47, 114)(48, 182)(50, 117)(51, 185)(53, 120)(54, 188)(56,
123)(57, 191)(59, 126)(60, 194)(62, 129)(63, 197)(65, 132)(66, 200)(68, 135)(71,
138)(74, 141)(77, 144)(80, 147)(83, 150)(86, 153)(89, 156)(92, 159)(95, 162)(98,
165)(101, 168)(104, 171)(107, 174)(110, 177)(113, 180)(116, 183)(119, 186)(122,
189)(125, 192)(128, 195)(131, 198)(134, 201) (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)
c: (2, 134)(3, 66)(4, 199)(5, 131)(6, 63)(7, 196)(8, 128)(9, 60)(10, 193)(11,
125)(12, 57)(13, 190)(14, 122)(15, 54)(16, 187)(17, 119)(18, 51)(19, 184)(20,
116)(21, 48)(22, 181)(23, 113)(24, 45)(25, 178)(26, 110)(27, 42)(28, 175)(29,
107)(30, 39)(31, 172)(32, 104)(33, 36)(34, 169)(35, 101)(37, 166)(38, 98)(40,
163)(41, 95)(43, 160)(44, 92)(46, 157)(47, 89)(49, 154)(50, 86)(52, 151)(53,
83)(55, 148)(56, 80)(58, 145)(59, 77)(61, 142)(62, 74)(64, 139)(65, 71)(67,
136)(69, 201)(70, 133)(72, 198)(73, 130)(75, 195)(76, 127)(78, 192)(79, 124)(81,
189)(82, 121)(84, 186)(85, 118)(87, 183)(88, 115)(90, 180)(91, 112)(93, 177)(94,
109)(96, 174)(97, 106)(99, 171)(100, 103)(102, 168)(105, 165)(108, 162)(111,
159)(114, 156)(117, 153)(120, 150)(123, 147)(126, 144)(129, 141)(132, 138)(137,
200)(140, 197)(143, 194)(146, 191)(149, 188)(152, 185)(155, 182)(158, 179)(161,
176)(164, 173)(167, 170)
C4[ 201, 1 ]
201
-1 2 134 69 201
-2 1 3 135 70
-3 2 4 136 71
-4 3 5 137 72
-5 4 6 138 73
-6 5 7 139 74
-7 6 8 140 75
-8 7 9 141 76
-9 77 8 10 142
-10 11 143 78 9
-11 12 144 79 10
-12 11 13 145 80
-13 12 14 146 81
-14 13 15 147 82
-15 14 16 148 83
-16 15 17 149 84
-17 16 18 150 85
-18 17 19 151 86
-19 18 20 152 87
-20 88 19 21 153
-21 22 154 89 20
-22 23 155 90 21
-23 22 24 156 91
-24 23 25 157 92
-25 24 26 158 93
-26 25 27 159 94
-27 26 28 160 95
-28 27 29 161 96
-29 28 30 162 97
-30 29 31 163 98
-31 99 30 32 164
-32 33 165 100 31
-33 34 166 101 32
-34 33 35 167 102
-35 34 36 168 103
-36 35 37 169 104
-37 36 38 170 105
-38 37 39 171 106
-39 38 40 172 107
-40 39 41 173 108
-41 40 42 174 109
-42 110 41 43 175
-43 44 176 111 42
-44 45 177 112 43
-45 44 46 178 113
-46 45 47 179 114
-47 46 48 180 115
-48 47 49 181 116
-49 48 50 182 117
-50 49 51 183 118
-51 50 52 184 119
-52 51 53 185 120
-53 121 52 54 186
-54 55 187 122 53
-55 56 188 123 54
-56 55 57 189 124
-57 56 58 190 125
-58 57 59 191 126
-59 58 60 192 127
-60 59 61 193 128
-61 60 62 194 129
-62 61 63 195 130
-63 62 64 196 131
-64 132 63 65 197
-65 66 198 133 64
-66 67 199 134 65
-67 66 68 200 135
-68 67 69 201 136
-69 1 68 70 137
-70 2 69 71 138
-71 3 70 72 139
-72 4 71 73 140
-73 5 72 74 141
-74 6 73 75 142
-75 143 7 74 76
-76 77 144 8 75
-77 78 145 9 76
-78 77 79 146 10
-79 11 78 80 147
-80 12 79 81 148
-81 13 80 82 149
-82 14 81 83 150
-83 15 82 84 151
-84 16 83 85 152
-85 17 84 86 153
-86 154 18 85 87
-87 88 155 19 86
-88 89 156 20 87
-89 88 90 157 21
-90 22 89 91 158
-91 23 90 92 159
-92 24 91 93 160
-93 25 92 94 161
-94 26 93 95 162
-95 27 94 96 163
-96 28 95 97 164
-97 165 29 96 98
-98 99 166 30 97
-99 100 167 31 98
-100 99 101 168 32
-101 33 100 102 169
-102 34 101 103 170
-103 35 102 104 171
-104 36 103 105 172
-105 37 104 106 173
-106 38 105 107 174
-107 39 106 108 175
-108 176 40 107 109
-109 110 177 41 108
-110 111 178 42 109
-111 110 112 179 43
-112 44 111 113 180
-113 45 112 114 181
-114 46 113 115 182
-115 47 114 116 183
-116 48 115 117 184
-117 49 116 118 185
-118 50 117 119 186
-119 187 51 118 120
-120 121 188 52 119
-121 122 189 53 120
-122 121 123 190 54
-123 55 122 124 191
-124 56 123 125 192
-125 57 124 126 193
-126 58 125 127 194
-127 59 126 128 195
-128 60 127 129 196
-129 61 128 130 197
-130 198 62 129 131
-131 132 199 63 130
-132 133 200 64 131
-133 132 134 201 65
-134 66 1 133 135
-135 67 2 134 136
-136 68 3 135 137
-137 69 4 136 138
-138 70 5 137 139
-139 71 6 138 140
-140 72 7 139 141
-141 73 8 140 142
-142 143 74 9 141
-143 144 75 10 142
-144 11 143 145 76
-145 77 12 144 146
-146 78 13 145 147
-147 79 14 146 148
-148 80 15 147 149
-149 81 16 148 150
-150 82 17 149 151
-151 83 18 150 152
-152 84 19 151 153
-153 154 85 20 152
-154 155 86 21 153
-155 22 154 156 87
-156 88 23 155 157
-157 89 24 156 158
-158 90 25 157 159
-159 91 26 158 160
-160 92 27 159 161
-161 93 28 160 162
-162 94 29 161 163
-163 95 30 162 164
-164 165 96 31 163
-165 166 97 32 164
-166 33 165 167 98
-167 99 34 166 168
-168 100 35 167 169
-169 101 36 168 170
-170 102 37 169 171
-171 103 38 170 172
-172 104 39 171 173
-173 105 40 172 174
-174 106 41 173 175
-175 176 107 42 174
-176 177 108 43 175
-177 44 176 178 109
-178 110 45 177 179
-179 111 46 178 180
-180 112 47 179 181
-181 113 48 180 182
-182 114 49 181 183
-183 115 50 182 184
-184 116 51 183 185
-185 117 52 184 186
-186 187 118 53 185
-187 188 119 54 186
-188 55 187 189 120
-189 121 56 188 190
-190 122 57 189 191
-191 123 58 190 192
-192 124 59 191 193
-193 125 60 192 194
-194 126 61 193 195
-195 127 62 194 196
-196 128 63 195 197
-197 198 129 64 196
-198 199 130 65 197
-199 66 198 200 131
-200 132 67 199 201
-201 1 133 68 200
0