Graph forms
for C4 [ 234, 3 ] = DW(78,3)
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On this page are computer-accessible forms for the graph C4[ 234, 3 ] =
DW(78,3).
(I) Following is a form readable by MAGMA:
g:=Graph<234|{ {78, 79}, {156, 157}, {2, 79}, {146, 223}, {144, 221}, {130,
207}, {128, 205}, {50, 127}, {48, 125}, {34, 111}, {16, 93}, {18, 95}, {32,
109}, {16, 95}, {145, 222}, {144, 223}, {129, 206}, {128, 207}, {49, 126}, {48,
127}, {33, 110}, {32, 111}, {17, 94}, {1, 80}, {143, 222}, {141, 220}, {139,
218}, {137, 216}, {135, 214}, {133, 212}, {131, 210}, {129, 208}, {47, 126},
{45, 124}, {43, 122}, {41, 120}, {39, 118}, {37, 116}, {35, 114}, {33, 112}, {3,
82}, {5, 84}, {7, 86}, {9, 88}, {11, 90}, {13, 92}, {15, 94}, {2, 81}, {143,
220}, {142, 221}, {139, 216}, {138, 217}, {135, 212}, {134, 213}, {131, 208},
{130, 209}, {47, 124}, {46, 125}, {43, 120}, {42, 121}, {39, 116}, {38, 117},
{35, 112}, {34, 113}, {3, 80}, {6, 85}, {7, 84}, {10, 89}, {11, 88}, {14, 93},
{15, 92}, {4, 81}, {142, 219}, {140, 217}, {134, 211}, {132, 209}, {46, 123},
{44, 121}, {38, 115}, {36, 113}, {6, 83}, {12, 89}, {14, 91}, {4, 83}, {141,
218}, {140, 219}, {133, 210}, {132, 211}, {45, 122}, {44, 123}, {37, 114}, {36,
115}, {5, 82}, {12, 91}, {13, 90}, {8, 85}, {138, 215}, {136, 213}, {42, 119},
{40, 117}, {10, 87}, {8, 87}, {137, 214}, {136, 215}, {41, 118}, {40, 119}, {9,
86}, {17, 96}, {155, 234}, {153, 232}, {151, 230}, {149, 228}, {147, 226}, {145,
224}, {19, 98}, {21, 100}, {23, 102}, {25, 104}, {27, 106}, {29, 108}, {31,
110}, {18, 97}, {155, 232}, {154, 233}, {151, 228}, {150, 229}, {147, 224},
{146, 225}, {19, 96}, {22, 101}, {23, 100}, {26, 105}, {27, 104}, {30, 109},
{31, 108}, {20, 97}, {156, 233}, {150, 227}, {148, 225}, {22, 99}, {28, 105},
{30, 107}, {20, 99}, {149, 226}, {148, 227}, {21, 98}, {28, 107}, {29, 106},
{24, 101}, {154, 231}, {152, 229}, {26, 103}, {24, 103}, {153, 230}, {152, 231},
{25, 102}, {4, 159}, {36, 191}, {32, 187}, {64, 219}, {68, 223}, {1, 156}, {35,
190}, {34, 191}, {33, 188}, {32, 189}, {2, 159}, {3, 158}, {64, 221}, {65, 220},
{66, 223}, {67, 222}, {1, 158}, {34, 189}, {33, 190}, {2, 157}, {65, 222}, {66,
221}, {3, 160}, {7, 164}, {11, 168}, {15, 172}, {19, 176}, {23, 180}, {27, 184},
{31, 188}, {67, 224}, {71, 228}, {75, 232}, {4, 161}, {5, 160}, {6, 163}, {7,
162}, {12, 169}, {13, 168}, {14, 171}, {15, 170}, {20, 177}, {21, 176}, {22,
179}, {23, 178}, {28, 185}, {29, 184}, {30, 187}, {31, 186}, {68, 225}, {69,
224}, {70, 227}, {71, 226}, {76, 233}, {77, 232}, {79, 234}, {5, 162}, {6, 161},
{13, 170}, {14, 169}, {21, 178}, {22, 177}, {29, 186}, {30, 185}, {69, 226},
{70, 225}, {77, 234}, {78, 233}, {8, 163}, {12, 167}, {24, 179}, {28, 183}, {72,
227}, {76, 231}, {8, 165}, {9, 164}, {10, 167}, {11, 166}, {24, 181}, {25, 180},
{26, 183}, {27, 182}, {72, 229}, {73, 228}, {74, 231}, {75, 230}, {9, 166}, {10,
165}, {25, 182}, {26, 181}, {73, 230}, {74, 229}, {49, 128}, {127, 206}, {125,
204}, {123, 202}, {121, 200}, {119, 198}, {117, 196}, {115, 194}, {113, 192},
{53, 132}, {51, 130}, {55, 134}, {57, 136}, {59, 138}, {61, 140}, {63, 142},
{50, 129}, {127, 204}, {126, 205}, {123, 200}, {122, 201}, {119, 196}, {118,
197}, {115, 192}, {114, 193}, {54, 133}, {51, 128}, {55, 132}, {58, 137}, {59,
136}, {62, 141}, {63, 140}, {52, 129}, {126, 203}, {124, 201}, {118, 195}, {116,
193}, {54, 131}, {60, 137}, {62, 139}, {52, 131}, {125, 202}, {124, 203}, {117,
194}, {116, 195}, {53, 130}, {60, 139}, {61, 138}, {16, 171}, {20, 175}, {16,
173}, {122, 199}, {120, 197}, {17, 172}, {18, 175}, {19, 174}, {56, 133}, {58,
135}, {17, 174}, {121, 198}, {120, 199}, {18, 173}, {56, 135}, {57, 134}, {64,
141}, {114, 191}, {112, 189}, {66, 143}, {80, 157}, {82, 159}, {96, 173}, {98,
175}, {64, 143}, {113, 190}, {112, 191}, {65, 142}, {80, 159}, {81, 158}, {96,
175}, {97, 174}, {65, 144}, {111, 190}, {109, 188}, {107, 186}, {105, 184},
{103, 182}, {67, 146}, {69, 148}, {71, 150}, {73, 152}, {75, 154}, {77, 156},
{79, 158}, {97, 176}, {99, 178}, {101, 180}, {66, 145}, {111, 188}, {110, 189},
{107, 184}, {106, 185}, {103, 180}, {67, 144}, {70, 149}, {71, 148}, {74, 153},
{75, 152}, {78, 157}, {98, 177}, {99, 176}, {102, 181}, {68, 145}, {110, 187},
{108, 185}, {70, 147}, {76, 153}, {78, 155}, {100, 177}, {102, 179}, {68, 147},
{109, 186}, {108, 187}, {69, 146}, {76, 155}, {77, 154}, {100, 179}, {101, 178},
{72, 149}, {106, 183}, {104, 181}, {74, 151}, {72, 151}, {105, 182}, {104, 183},
{73, 150}, {35, 192}, {51, 208}, {47, 204}, {43, 200}, {39, 196}, {55, 212},
{59, 216}, {63, 220}, {36, 193}, {53, 208}, {52, 209}, {47, 202}, {46, 203},
{45, 200}, {44, 201}, {39, 194}, {38, 195}, {37, 192}, {54, 211}, {55, 210},
{60, 217}, {61, 216}, {62, 219}, {63, 218}, {37, 194}, {53, 210}, {46, 201},
{45, 202}, {38, 193}, {54, 209}, {61, 218}, {62, 217}, {1, 234}, {44, 199}, {40,
195}, {56, 211}, {60, 215}, {40, 197}, {43, 198}, {42, 199}, {41, 196}, {56,
213}, {57, 212}, {58, 215}, {59, 214}, {41, 198}, {42, 197}, {57, 214}, {58,
213}, {81, 160}, {83, 162}, {85, 164}, {87, 166}, {89, 168}, {91, 170}, {93,
172}, {95, 174}, {82, 161}, {83, 160}, {86, 165}, {87, 164}, {90, 169}, {91,
168}, {94, 173}, {95, 172}, {84, 161}, {86, 163}, {92, 169}, {94, 171}, {84,
163}, {85, 162}, {92, 171}, {93, 170}, {48, 203}, {52, 207}, {48, 205}, {51,
206}, {50, 207}, {49, 204}, {88, 165}, {90, 167}, {49, 206}, {50, 205}, {88,
167}, {89, 166} }>;
(II) A more general form is to represent the graph as the orbit of {78, 79}
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, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212,
213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228,
229, 230, 231, 232, 233, 234) (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, 78)(3, 77)(4, 76)(5, 75)(6, 74)(7, 73)(8, 72)(9, 71)(10, 70)(11, 69)(12,
68)(13, 67)(14, 66)(15, 65)(16, 64)(17, 63)(18, 62)(19, 61)(20, 60)(21, 59)(22,
58)(23, 57)(24, 56)(25, 55)(26, 54)(27, 53)(28, 52)(29, 51)(30, 50)(31, 49)(32,
48)(33, 47)(34, 46)(35, 45)(36, 44)(37, 43)(38, 42)(39, 41)(80, 156)(81,
155)(82, 154)(83, 153)(84, 152)(85, 151)(86, 150)(87, 149)(88, 148)(89, 147)(90,
146)(91, 145)(92, 144)(93, 143)(94, 142)(95, 141)(96, 140)(97, 139)(98, 138)(99,
137)(100, 136)(101, 135)(102, 134)(103, 133)(104, 132)(105, 131)(106, 130)(107,
129)(108, 128)(109, 127)(110, 126)(111, 125)(112, 124)(113, 123)(114, 122)(115,
121)(116, 120)(117, 119)(158, 234)(159, 233)(160, 232)(161, 231)(162, 230)(163,
229)(164, 228)(165, 227)(166, 226)(167, 225)(168, 224)(169, 223)(170, 222)(171,
221)(172, 220)(173, 219)(174, 218)(175, 217)(176, 216)(177, 215)(178, 214)(179,
213)(180, 212)(181, 211)(182, 210)(183, 209)(184, 208)(185, 207)(186, 206)(187,
205)(188, 204)(189, 203)(190, 202)(191, 201)(192, 200)(193, 199)(194, 198)(195,
197)
c: (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11,
89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21,
99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30,
108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39,
117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48,
126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57,
135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66,
144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75,
153)(76, 154)(77, 155)(78, 156)
d: (79, 157)(80, 158)(81, 159)(82, 160)(83, 161)(84, 162)(85, 163)(86, 164)(87,
165)(88, 166)(89, 167)(90, 168)(91, 169)(92, 170)(93, 171)(94, 172)(95, 173)(96,
174)(97, 175)(98, 176)(99, 177)(100, 178)(101, 179)(102, 180)(103, 181)(104,
182)(105, 183)(106, 184)(107, 185)(108, 186)(109, 187)(110, 188)(111, 189)(112,
190)(113, 191)(114, 192)(115, 193)(116, 194)(117, 195)(118, 196)(119, 197)(120,
198)(121, 199)(122, 200)(123, 201)(124, 202)(125, 203)(126, 204)(127, 205)(128,
206)(129, 207)(130, 208)(131, 209)(132, 210)(133, 211)(134, 212)(135, 213)(136,
214)(137, 215)(138, 216)(139, 217)(140, 218)(141, 219)(142, 220)(143, 221)(144,
222)(145, 223)(146, 224)(147, 225)(148, 226)(149, 227)(150, 228)(151, 229)(152,
230)(153, 231)(154, 232)(155, 233)(156, 234)
C4[ 234, 3 ]
234
-1 156 80 234 158
-2 79 157 81 159
-3 80 158 82 160
-4 81 159 83 161
-5 82 160 84 162
-6 83 161 85 163
-7 84 162 86 164
-8 165 85 163 87
-9 88 166 86 164
-10 165 89 167 87
-11 88 166 90 168
-12 89 167 91 169
-13 90 168 92 170
-14 91 169 93 171
-15 92 170 94 172
-16 93 171 95 173
-17 94 172 96 174
-18 95 173 97 175
-19 176 96 174 98
-20 99 177 97 175
-21 176 100 178 98
-22 99 177 101 179
-23 100 178 102 180
-24 101 179 103 181
-25 102 180 104 182
-26 103 181 105 183
-27 104 182 106 184
-28 105 183 107 185
-29 106 184 108 186
-30 187 107 185 109
-31 110 188 108 186
-32 187 111 189 109
-33 110 188 112 190
-34 111 189 113 191
-35 112 190 114 192
-36 113 191 115 193
-37 114 192 116 194
-38 115 193 117 195
-39 116 194 118 196
-40 117 195 119 197
-41 198 118 196 120
-42 121 199 119 197
-43 198 122 200 120
-44 121 199 123 201
-45 122 200 124 202
-46 123 201 125 203
-47 124 202 126 204
-48 125 203 127 205
-49 126 204 128 206
-50 127 205 129 207
-51 128 206 130 208
-52 209 129 207 131
-53 132 210 130 208
-54 209 133 211 131
-55 132 210 134 212
-56 133 211 135 213
-57 134 212 136 214
-58 135 213 137 215
-59 136 214 138 216
-60 137 215 139 217
-61 138 216 140 218
-62 139 217 141 219
-63 220 140 218 142
-64 143 221 141 219
-65 220 144 222 142
-66 143 221 145 223
-67 144 222 146 224
-68 145 223 147 225
-69 146 224 148 226
-70 147 225 149 227
-71 148 226 150 228
-72 149 227 151 229
-73 150 228 152 230
-74 231 151 229 153
-75 154 232 152 230
-76 231 155 233 153
-77 154 232 156 234
-78 155 79 233 157
-79 78 2 234 158
-80 1 3 157 159
-81 2 4 158 160
-82 3 5 159 161
-83 4 6 160 162
-84 5 7 161 163
-85 6 8 162 164
-86 165 7 9 163
-87 166 8 10 164
-88 11 165 167 9
-89 12 166 168 10
-90 11 13 167 169
-91 12 14 168 170
-92 13 15 169 171
-93 14 16 170 172
-94 15 17 171 173
-95 16 18 172 174
-96 17 19 173 175
-97 176 18 20 174
-98 177 19 21 175
-99 22 176 178 20
-100 23 177 179 21
-101 22 24 178 180
-102 23 25 179 181
-103 24 26 180 182
-104 25 27 181 183
-105 26 28 182 184
-106 27 29 183 185
-107 28 30 184 186
-108 187 29 31 185
-109 188 30 32 186
-110 33 187 189 31
-111 34 188 190 32
-112 33 35 189 191
-113 34 36 190 192
-114 35 37 191 193
-115 36 38 192 194
-116 37 39 193 195
-117 38 40 194 196
-118 39 41 195 197
-119 198 40 42 196
-120 199 41 43 197
-121 44 198 200 42
-122 45 199 201 43
-123 44 46 200 202
-124 45 47 201 203
-125 46 48 202 204
-126 47 49 203 205
-127 48 50 204 206
-128 49 51 205 207
-129 50 52 206 208
-130 209 51 53 207
-131 210 52 54 208
-132 55 209 211 53
-133 56 210 212 54
-134 55 57 211 213
-135 56 58 212 214
-136 57 59 213 215
-137 58 60 214 216
-138 59 61 215 217
-139 60 62 216 218
-140 61 63 217 219
-141 220 62 64 218
-142 221 63 65 219
-143 66 220 222 64
-144 67 221 223 65
-145 66 68 222 224
-146 67 69 223 225
-147 68 70 224 226
-148 69 71 225 227
-149 70 72 226 228
-150 71 73 227 229
-151 72 74 228 230
-152 231 73 75 229
-153 232 74 76 230
-154 77 231 233 75
-155 78 232 234 76
-156 77 1 233 157
-157 78 2 156 80
-158 1 79 3 81
-159 2 80 4 82
-160 3 81 5 83
-161 4 82 6 84
-162 5 83 7 85
-163 6 84 8 86
-164 7 85 9 87
-165 88 8 86 10
-166 11 89 9 87
-167 88 12 90 10
-168 11 89 13 91
-169 12 90 14 92
-170 13 91 15 93
-171 14 92 16 94
-172 15 93 17 95
-173 16 94 18 96
-174 17 95 19 97
-175 18 96 20 98
-176 99 19 97 21
-177 22 100 20 98
-178 99 23 101 21
-179 22 100 24 102
-180 23 101 25 103
-181 24 102 26 104
-182 25 103 27 105
-183 26 104 28 106
-184 27 105 29 107
-185 28 106 30 108
-186 29 107 31 109
-187 110 30 108 32
-188 33 111 31 109
-189 110 34 112 32
-190 33 111 35 113
-191 34 112 36 114
-192 35 113 37 115
-193 36 114 38 116
-194 37 115 39 117
-195 38 116 40 118
-196 39 117 41 119
-197 40 118 42 120
-198 121 41 119 43
-199 44 122 42 120
-200 121 45 123 43
-201 44 122 46 124
-202 45 123 47 125
-203 46 124 48 126
-204 47 125 49 127
-205 48 126 50 128
-206 49 127 51 129
-207 50 128 52 130
-208 51 129 53 131
-209 132 52 130 54
-210 55 133 53 131
-211 132 56 134 54
-212 55 133 57 135
-213 56 134 58 136
-214 57 135 59 137
-215 58 136 60 138
-216 59 137 61 139
-217 60 138 62 140
-218 61 139 63 141
-219 62 140 64 142
-220 143 63 141 65
-221 66 144 64 142
-222 143 67 145 65
-223 66 144 68 146
-224 67 145 69 147
-225 68 146 70 148
-226 69 147 71 149
-227 70 148 72 150
-228 71 149 73 151
-229 72 150 74 152
-230 73 151 75 153
-231 154 74 152 76
-232 77 155 75 153
-233 154 78 156 76
-234 77 1 155 79
0