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