Graph forms
for C4 [ 240, 10 ] = {4,4}_[20,6]
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On this page are computer-accessible forms for the graph C4[ 240, 10 ] =
{4,4}_[20,6].
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {2, 3}, {238, 239}, {236, 237}, {234, 235}, {232, 233}, {230,
231}, {228, 229}, {226, 227}, {224, 225}, {222, 223}, {220, 221}, {218, 219},
{216, 217}, {214, 215}, {212, 213}, {210, 211}, {208, 209}, {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}, {156, 157}, {154, 155}, {152,
153}, {150, 151}, {148, 149}, {146, 147}, {144, 145}, {142, 143}, {140, 141},
{138, 139}, {136, 137}, {134, 135}, {132, 133}, {130, 131}, {128, 129}, {126,
127}, {124, 125}, {122, 123}, {118, 119}, {116, 117}, {114, 115}, {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}, {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}, {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}, {1, 2}, {237,
238}, {233, 234}, {229, 230}, {225, 226}, {221, 222}, {217, 218}, {213, 214},
{209, 210}, {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}, {141, 142}, {137, 138}, {133,
134}, {129, 130}, {125, 126}, {121, 122}, {117, 118}, {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}, {3, 4}, {235, 236}, {227, 228}, {219, 220}, {211, 212},
{203, 204}, {195, 196}, {187, 188}, {179, 180}, {171, 172}, {163, 164}, {155,
156}, {147, 148}, {139, 140}, {131, 132}, {123, 124}, {115, 116}, {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}, {7, 8}, {231, 232}, {215, 216}, {199,
200}, {183, 184}, {167, 168}, {151, 152}, {135, 136}, {119, 120}, {55, 56}, {23,
24}, {39, 40}, {71, 72}, {87, 88}, {103, 104}, {15, 16}, {239, 240}, {207, 208},
{175, 176}, {143, 144}, {47, 48}, {79, 80}, {111, 112}, {31, 32}, {223, 224},
{159, 160}, {95, 96}, {40, 122}, {45, 127}, {44, 126}, {41, 123}, {42, 124},
{43, 125}, {39, 121}, {1, 121}, {2, 122}, {3, 123}, {4, 124}, {5, 125}, {6,
126}, {7, 127}, {1, 120}, {63, 64}, {191, 192}, {8, 128}, {120, 240}, {63, 183},
{62, 182}, {61, 181}, {60, 180}, {59, 179}, {58, 178}, {57, 177}, {56, 176},
{47, 167}, {46, 166}, {45, 165}, {44, 164}, {43, 163}, {42, 162}, {41, 161},
{40, 160}, {9, 129}, {10, 130}, {11, 131}, {12, 132}, {13, 133}, {14, 134}, {15,
135}, {24, 144}, {25, 145}, {26, 146}, {27, 147}, {28, 148}, {29, 149}, {30,
150}, {31, 151}, {72, 192}, {73, 193}, {74, 194}, {75, 195}, {76, 196}, {77,
197}, {78, 198}, {79, 199}, {88, 208}, {89, 209}, {90, 210}, {91, 211}, {92,
212}, {93, 213}, {94, 214}, {95, 215}, {104, 224}, {105, 225}, {106, 226}, {107,
227}, {108, 228}, {109, 229}, {110, 230}, {111, 231}, {121, 240}, {16, 136},
{119, 239}, {118, 238}, {117, 237}, {116, 236}, {115, 235}, {114, 234}, {113,
233}, {55, 175}, {54, 174}, {53, 173}, {52, 172}, {51, 171}, {50, 170}, {49,
169}, {48, 168}, {17, 137}, {18, 138}, {19, 139}, {20, 140}, {21, 141}, {22,
142}, {23, 143}, {80, 200}, {81, 201}, {82, 202}, {83, 203}, {84, 204}, {85,
205}, {86, 206}, {87, 207}, {112, 232}, {46, 128}, {63, 145}, {62, 144}, {47,
129}, {110, 192}, {111, 193}, {48, 130}, {120, 202}, {117, 199}, {116, 198},
{61, 143}, {60, 142}, {57, 139}, {56, 138}, {53, 135}, {52, 134}, {49, 131},
{112, 194}, {113, 195}, {50, 132}, {115, 197}, {114, 196}, {59, 141}, {58, 140},
{51, 133}, {32, 152}, {33, 153}, {34, 154}, {35, 155}, {36, 156}, {37, 157},
{38, 158}, {39, 159}, {96, 216}, {97, 217}, {98, 218}, {99, 219}, {100, 220},
{101, 221}, {102, 222}, {103, 223}, {54, 136}, {119, 201}, {118, 200}, {55,
137}, {1, 203}, {4, 206}, {5, 207}, {16, 218}, {17, 219}, {20, 222}, {21, 223},
{32, 234}, {33, 235}, {36, 238}, {37, 239}, {2, 204}, {3, 205}, {18, 220}, {19,
221}, {34, 236}, {35, 237}, {64, 146}, {68, 150}, {65, 147}, {69, 151}, {72,
154}, {73, 155}, {76, 158}, {77, 159}, {96, 178}, {97, 179}, {100, 182}, {101,
183}, {104, 186}, {105, 187}, {108, 190}, {109, 191}, {6, 208}, {67, 149}, {66,
148}, {7, 209}, {14, 216}, {15, 217}, {38, 240}, {74, 156}, {75, 157}, {98,
180}, {99, 181}, {106, 188}, {107, 189}, {8, 210}, {9, 211}, {12, 214}, {13,
215}, {10, 212}, {11, 213}, {70, 152}, {71, 153}, {102, 184}, {103, 185}, {78,
160}, {79, 161}, {94, 176}, {95, 177}, {80, 162}, {81, 163}, {84, 166}, {85,
167}, {88, 170}, {89, 171}, {92, 174}, {93, 175}, {22, 224}, {23, 225}, {30,
232}, {31, 233}, {82, 164}, {83, 165}, {90, 172}, {91, 173}, {64, 184}, {67,
187}, {66, 186}, {65, 185}, {68, 188}, {69, 189}, {70, 190}, {71, 191}, {24,
226}, {25, 227}, {28, 230}, {29, 231}, {26, 228}, {27, 229}, {86, 168}, {87,
169}, {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, 120)(3, 119)(4, 118)(5, 117)(6, 116)(7, 115)(8, 114)(9, 113)(10, 112)(11,
111)(12, 110)(13, 109)(14, 108)(15, 107)(16, 106)(17, 105)(18, 104)(19, 103)(20,
102)(21, 101)(22, 100)(23, 99)(24, 98)(25, 97)(26, 96)(27, 95)(28, 94)(29,
93)(30, 92)(31, 91)(32, 90)(33, 89)(34, 88)(35, 87)(36, 86)(37, 85)(38, 84)(39,
83)(40, 82)(41, 81)(42, 80)(43, 79)(44, 78)(45, 77)(46, 76)(47, 75)(48, 74)(49,
73)(50, 72)(51, 71)(52, 70)(53, 69)(54, 68)(55, 67)(56, 66)(57, 65)(58, 64)(59,
63)(60, 62)(121, 203)(122, 202)(123, 201)(124, 200)(125, 199)(126, 198)(127,
197)(128, 196)(129, 195)(130, 194)(131, 193)(132, 192)(133, 191)(134, 190)(135,
189)(136, 188)(137, 187)(138, 186)(139, 185)(140, 184)(141, 183)(142, 182)(143,
181)(144, 180)(145, 179)(146, 178)(147, 177)(148, 176)(149, 175)(150, 174)(151,
173)(152, 172)(153, 171)(154, 170)(155, 169)(156, 168)(157, 167)(158, 166)(159,
165)(160, 164)(161, 163)(204, 240)(205, 239)(206, 238)(207, 237)(208, 236)(209,
235)(210, 234)(211, 233)(212, 232)(213, 231)(214, 230)(215, 229)(216, 228)(217,
227)(218, 226)(219, 225)(220, 224)(221, 223) (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, 203)(3, 83)(4, 165)(5, 45)(6, 127)(8, 209)(9, 89)(10, 171)(11, 51)(12,
133)(14, 215)(15, 95)(16, 177)(17, 57)(18, 139)(20, 221)(21, 101)(22, 183)(23,
63)(24, 145)(26, 227)(27, 107)(28, 189)(29, 69)(30, 151)(32, 233)(33, 113)(34,
195)(35, 75)(36, 157)(38, 239)(39, 119)(40, 201)(41, 81)(42, 163)(44, 125)(46,
207)(47, 87)(48, 169)(50, 131)(52, 213)(53, 93)(54, 175)(56, 137)(58, 219)(59,
99)(60, 181)(62, 143)(64, 225)(65, 105)(66, 187)(68, 149)(70, 231)(71, 111)(72,
193)(74, 155)(76, 237)(77, 117)(78, 199)(80, 161)(82, 123)(84, 205)(86, 167)(88,
129)(90, 211)(92, 173)(94, 135)(96, 217)(98, 179)(100, 141)(102, 223)(104,
185)(106, 147)(108, 229)(110, 191)(112, 153)(114, 235)(116, 197)(118, 159)(120,
121)(122, 202)(124, 164)(128, 208)(130, 170)(134, 214)(136, 176)(140, 220)(142,
182)(146, 226)(148, 188)(152, 232)(154, 194)(158, 238)(160, 200)(166, 206)(172,
212)(178, 218)(184, 224)(190, 230)(196, 236)
c: (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, 235, 236, 237, 238, 239, 240)
C4[ 240, 10 ]
240
-1 121 2 203 120
-2 1 122 3 204
-3 2 123 4 205
-4 3 124 5 206
-5 4 125 6 207
-6 5 126 7 208
-7 209 6 127 8
-8 210 7 128 9
-9 211 8 129 10
-10 11 212 9 130
-11 12 213 10 131
-12 11 132 13 214
-13 12 133 14 215
-14 13 134 15 216
-15 14 135 16 217
-16 15 136 17 218
-17 16 137 18 219
-18 220 17 138 19
-19 221 18 139 20
-20 222 19 140 21
-21 22 223 20 141
-22 23 224 21 142
-23 22 143 24 225
-24 23 144 25 226
-25 24 145 26 227
-26 25 146 27 228
-27 26 147 28 229
-28 27 148 29 230
-29 231 28 149 30
-30 232 29 150 31
-31 233 30 151 32
-32 33 234 31 152
-33 34 235 32 153
-34 33 154 35 236
-35 34 155 36 237
-36 35 156 37 238
-37 36 157 38 239
-38 37 158 39 240
-39 121 38 159 40
-40 122 39 160 41
-41 123 40 161 42
-42 124 41 162 43
-43 44 125 42 163
-44 45 126 43 164
-45 44 165 46 127
-46 45 166 47 128
-47 46 167 48 129
-48 47 168 49 130
-49 48 169 50 131
-50 132 49 170 51
-51 133 50 171 52
-52 134 51 172 53
-53 135 52 173 54
-54 55 136 53 174
-55 56 137 54 175
-56 55 176 57 138
-57 56 177 58 139
-58 57 178 59 140
-59 58 179 60 141
-60 59 180 61 142
-61 143 60 181 62
-62 144 61 182 63
-63 145 62 183 64
-64 146 63 184 65
-65 66 147 64 185
-66 67 148 65 186
-67 66 187 68 149
-68 67 188 69 150
-69 68 189 70 151
-70 69 190 71 152
-71 70 191 72 153
-72 154 71 192 73
-73 155 72 193 74
-74 156 73 194 75
-75 157 74 195 76
-76 77 158 75 196
-77 78 159 76 197
-78 77 198 79 160
-79 78 199 80 161
-80 79 200 81 162
-81 80 201 82 163
-82 81 202 83 164
-83 165 82 203 84
-84 166 83 204 85
-85 167 84 205 86
-86 168 85 206 87
-87 88 169 86 207
-88 89 170 87 208
-89 88 209 90 171
-90 89 210 91 172
-91 90 211 92 173
-92 91 212 93 174
-93 92 213 94 175
-94 176 93 214 95
-95 177 94 215 96
-96 178 95 216 97
-97 179 96 217 98
-98 99 180 97 218
-99 100 181 98 219
-100 99 220 101 182
-101 100 221 102 183
-102 101 222 103 184
-103 102 223 104 185
-104 103 224 105 186
-105 187 104 225 106
-106 188 105 226 107
-107 189 106 227 108
-108 190 107 228 109
-109 110 191 108 229
-110 111 192 109 230
-111 110 231 112 193
-112 111 232 113 194
-113 112 233 114 195
-114 113 234 115 196
-115 114 235 116 197
-116 198 115 236 117
-117 199 116 237 118
-118 200 117 238 119
-119 201 118 239 120
-120 1 202 119 240
-121 1 122 39 240
-122 121 2 123 40
-123 122 3 124 41
-124 123 4 125 42
-125 124 5 126 43
-126 44 125 6 127
-127 45 126 7 128
-128 46 127 8 129
-129 47 128 9 130
-130 48 129 10 131
-131 11 132 49 130
-132 12 133 50 131
-133 132 13 134 51
-134 133 14 135 52
-135 134 15 136 53
-136 135 16 137 54
-137 55 136 17 138
-138 56 137 18 139
-139 57 138 19 140
-140 58 139 20 141
-141 59 140 21 142
-142 22 143 60 141
-143 23 144 61 142
-144 143 24 145 62
-145 144 25 146 63
-146 145 26 147 64
-147 146 27 148 65
-148 66 147 28 149
-149 67 148 29 150
-150 68 149 30 151
-151 69 150 31 152
-152 70 151 32 153
-153 33 154 71 152
-154 34 155 72 153
-155 154 35 156 73
-156 155 36 157 74
-157 156 37 158 75
-158 157 38 159 76
-159 77 158 39 160
-160 78 159 40 161
-161 79 160 41 162
-162 80 161 42 163
-163 81 162 43 164
-164 44 165 82 163
-165 45 166 83 164
-166 165 46 167 84
-167 166 47 168 85
-168 167 48 169 86
-169 168 49 170 87
-170 88 169 50 171
-171 89 170 51 172
-172 90 171 52 173
-173 91 172 53 174
-174 92 173 54 175
-175 55 176 93 174
-176 56 177 94 175
-177 176 57 178 95
-178 177 58 179 96
-179 178 59 180 97
-180 179 60 181 98
-181 99 180 61 182
-182 100 181 62 183
-183 101 182 63 184
-184 102 183 64 185
-185 103 184 65 186
-186 66 187 104 185
-187 67 188 105 186
-188 187 68 189 106
-189 188 69 190 107
-190 189 70 191 108
-191 190 71 192 109
-192 110 191 72 193
-193 111 192 73 194
-194 112 193 74 195
-195 113 194 75 196
-196 114 195 76 197
-197 77 198 115 196
-198 78 199 116 197
-199 198 79 200 117
-200 199 80 201 118
-201 200 81 202 119
-202 201 82 203 120
-203 1 202 83 204
-204 2 203 84 205
-205 3 204 85 206
-206 4 205 86 207
-207 5 206 87 208
-208 88 209 6 207
-209 89 210 7 208
-210 209 90 211 8
-211 210 91 212 9
-212 211 92 213 10
-213 11 212 93 214
-214 12 213 94 215
-215 13 214 95 216
-216 14 215 96 217
-217 15 216 97 218
-218 16 217 98 219
-219 99 220 17 218
-220 100 221 18 219
-221 220 101 222 19
-222 221 102 223 20
-223 222 103 224 21
-224 22 223 104 225
-225 23 224 105 226
-226 24 225 106 227
-227 25 226 107 228
-228 26 227 108 229
-229 27 228 109 230
-230 110 231 28 229
-231 111 232 29 230
-232 231 112 233 30
-233 232 113 234 31
-234 233 114 235 32
-235 33 234 115 236
-236 34 235 116 237
-237 35 236 117 238
-238 36 237 118 239
-239 37 238 119 240
-240 121 38 239 120
0