Graph forms
for C4 [ 305, 1 ] = C_305(1,72)
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On this page are computer-accessible forms for the graph C4[ 305, 1 ] =
C_305(1,72).
(I) Following is a form readable by MAGMA:
g:=Graph<305|{ {2, 3}, {304, 305}, {302, 303}, {300, 301}, {298, 299}, {296,
297}, {294, 295}, {292, 293}, {290, 291}, {288, 289}, {286, 287}, {284, 285},
{282, 283}, {280, 281}, {278, 279}, {276, 277}, {274, 275}, {272, 273}, {270,
271}, {268, 269}, {266, 267}, {264, 265}, {262, 263}, {260, 261}, {258, 259},
{256, 257}, {254, 255}, {252, 253}, {250, 251}, {248, 249}, {246, 247}, {244,
245}, {242, 243}, {240, 241}, {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}, {98, 99}, {96, 97}, {94, 95}, {92, 93}, {90, 91},
{88, 89}, {86, 87}, {84, 85}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75},
{72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59},
{56, 57}, {54, 55}, {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}, {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}, {1, 2}, {301, 302}, {297, 298}, {293, 294}, {289, 290}, {285, 286}, {281,
282}, {277, 278}, {273, 274}, {269, 270}, {265, 266}, {261, 262}, {257, 258},
{253, 254}, {249, 250}, {245, 246}, {241, 242}, {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}, {97, 98}, {93, 94}, {89, 90},
{85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58},
{5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34},
{37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {101, 102}, {105, 106}, {109,
110}, {113, 114}, {117, 118}, {121, 122}, {125, 126}, {129, 130}, {133, 134},
{137, 138}, {141, 142}, {145, 146}, {149, 150}, {153, 154}, {157, 158}, {161,
162}, {165, 166}, {169, 170}, {173, 174}, {177, 178}, {181, 182}, {185, 186},
{3, 4}, {299, 300}, {291, 292}, {283, 284}, {275, 276}, {267, 268}, {259, 260},
{251, 252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211, 212}, {203,
204}, {195, 196}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {11, 12},
{19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {99, 100}, {107, 108}, {115,
116}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164},
{171, 172}, {179, 180}, {187, 188}, {7, 8}, {295, 296}, {279, 280}, {263, 264},
{247, 248}, {231, 232}, {215, 216}, {199, 200}, {87, 88}, {71, 72}, {55, 56},
{23, 24}, {39, 40}, {103, 104}, {119, 120}, {135, 136}, {151, 152}, {167, 168},
{183, 184}, {15, 16}, {303, 304}, {271, 272}, {239, 240}, {207, 208}, {79, 80},
{47, 48}, {111, 112}, {143, 144}, {175, 176}, {31, 32}, {287, 288}, {223, 224},
{95, 96}, {159, 160}, {1, 73}, {55, 127}, {54, 126}, {53, 125}, {2, 74}, {3,
75}, {4, 76}, {5, 77}, {6, 78}, {7, 79}, {16, 88}, {17, 89}, {18, 90}, {19, 91},
{20, 92}, {21, 93}, {22, 94}, {23, 95}, {32, 104}, {33, 105}, {34, 106}, {35,
107}, {36, 108}, {37, 109}, {38, 110}, {39, 111}, {48, 120}, {49, 121}, {50,
122}, {51, 123}, {52, 124}, {128, 200}, {129, 201}, {130, 202}, {131, 203},
{132, 204}, {133, 205}, {134, 206}, {135, 207}, {144, 216}, {145, 217}, {146,
218}, {147, 219}, {148, 220}, {149, 221}, {150, 222}, {151, 223}, {160, 232},
{161, 233}, {162, 234}, {163, 235}, {164, 236}, {165, 237}, {166, 238}, {167,
239}, {176, 248}, {177, 249}, {178, 250}, {179, 251}, {180, 252}, {181, 253},
{182, 254}, {183, 255}, {8, 80}, {9, 81}, {10, 82}, {11, 83}, {12, 84}, {13,
85}, {14, 86}, {15, 87}, {40, 112}, {41, 113}, {42, 114}, {43, 115}, {44, 116},
{45, 117}, {46, 118}, {47, 119}, {136, 208}, {137, 209}, {138, 210}, {139, 211},
{140, 212}, {141, 213}, {142, 214}, {143, 215}, {168, 240}, {169, 241}, {170,
242}, {171, 243}, {172, 244}, {173, 245}, {174, 246}, {175, 247}, {24, 96}, {25,
97}, {26, 98}, {27, 99}, {28, 100}, {29, 101}, {30, 102}, {31, 103}, {152, 224},
{153, 225}, {154, 226}, {155, 227}, {156, 228}, {157, 229}, {158, 230}, {159,
231}, {63, 64}, {191, 192}, {56, 128}, {63, 135}, {62, 134}, {61, 133}, {60,
132}, {59, 131}, {58, 130}, {57, 129}, {120, 192}, {121, 193}, {122, 194}, {123,
195}, {124, 196}, {125, 197}, {126, 198}, {127, 199}, {64, 136}, {97, 169}, {96,
168}, {87, 159}, {86, 158}, {85, 157}, {84, 156}, {83, 155}, {82, 154}, {81,
153}, {80, 152}, {71, 143}, {70, 142}, {69, 141}, {68, 140}, {67, 139}, {66,
138}, {65, 137}, {98, 170}, {99, 171}, {100, 172}, {101, 173}, {102, 174}, {103,
175}, {112, 184}, {113, 185}, {114, 186}, {115, 187}, {116, 188}, {117, 189},
{118, 190}, {119, 191}, {72, 144}, {79, 151}, {78, 150}, {77, 149}, {76, 148},
{75, 147}, {74, 146}, {73, 145}, {104, 176}, {105, 177}, {106, 178}, {107, 179},
{108, 180}, {109, 181}, {110, 182}, {111, 183}, {2, 235}, {4, 237}, {6, 239},
{16, 249}, {18, 251}, {20, 253}, {22, 255}, {1, 234}, {5, 238}, {17, 250}, {21,
254}, {3, 236}, {19, 252}, {7, 240}, {15, 248}, {88, 160}, {95, 167}, {94, 166},
{93, 165}, {92, 164}, {91, 163}, {90, 162}, {89, 161}, {8, 241}, {10, 243}, {12,
245}, {14, 247}, {9, 242}, {13, 246}, {11, 244}, {127, 128}, {23, 256}, {63,
296}, {55, 288}, {31, 264}, {24, 257}, {62, 295}, {60, 293}, {58, 291}, {56,
289}, {26, 259}, {28, 261}, {30, 263}, {25, 258}, {61, 294}, {57, 290}, {29,
262}, {27, 260}, {59, 292}, {32, 265}, {54, 287}, {34, 267}, {36, 269}, {38,
271}, {48, 281}, {50, 283}, {52, 285}, {33, 266}, {53, 286}, {37, 270}, {49,
282}, {35, 268}, {51, 284}, {1, 305}, {39, 272}, {47, 280}, {40, 273}, {42,
275}, {44, 277}, {46, 279}, {41, 274}, {45, 278}, {43, 276}, {64, 297}, {70,
303}, {68, 301}, {66, 299}, {65, 298}, {69, 302}, {67, 300}, {71, 304}, {72,
305}, {184, 256}, {191, 263}, {190, 262}, {189, 261}, {188, 260}, {187, 259},
{185, 257}, {186, 258}, {192, 264}, {231, 303}, {230, 302}, {229, 301}, {228,
300}, {227, 299}, {226, 298}, {225, 297}, {224, 296}, {215, 287}, {214, 286},
{213, 285}, {212, 284}, {211, 283}, {210, 282}, {209, 281}, {208, 280}, {199,
271}, {198, 270}, {197, 269}, {196, 268}, {195, 267}, {194, 266}, {193, 265},
{200, 272}, {233, 305}, {232, 304}, {207, 279}, {206, 278}, {205, 277}, {204,
276}, {203, 275}, {202, 274}, {201, 273}, {216, 288}, {223, 295}, {222, 294},
{221, 293}, {220, 292}, {219, 291}, {218, 290}, {217, 289}, {255, 256} }>;
(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, 73, 305, 234)(3, 145, 304, 162)(4, 217, 303, 90)(5, 289, 302, 18)(6, 56,
301, 251)(7, 128, 300, 179)(8, 200, 299, 107)(9, 272, 298, 35)(10, 39, 297,
268)(11, 111, 296, 196)(12, 183, 295, 124)(13, 255, 294, 52)(14, 22, 293,
285)(15, 94, 292, 213)(16, 166, 291, 141)(17, 238, 290, 69)(19, 77, 288,
230)(20, 149, 287, 158)(21, 221, 286, 86)(23, 60, 284, 247)(24, 132, 283,
175)(25, 204, 282, 103)(26, 276, 281, 31)(27, 43, 280, 264)(28, 115, 279,
192)(29, 187, 278, 120)(30, 259, 277, 48)(32, 98, 275, 209)(33, 170, 274,
137)(34, 242, 273, 65)(36, 81, 271, 226)(37, 153, 270, 154)(38, 225, 269,
82)(40, 64, 267, 243)(41, 136, 266, 171)(42, 208, 265, 99)(44, 47, 263, 260)(45,
119, 262, 188)(46, 191, 261, 116)(49, 102, 258, 205)(50, 174, 257, 133)(51, 246,
256, 61)(53, 85, 254, 222)(54, 157, 253, 150)(55, 229, 252, 78)(57, 68, 250,
239)(58, 140, 249, 167)(59, 212, 248, 95)(62, 123, 245, 184)(63, 195, 244,
112)(66, 106, 241, 201)(67, 178, 240, 129)(70, 89, 237, 218)(71, 161, 236,
146)(72, 233, 235, 74)(75, 144, 232, 163)(76, 216, 231, 91)(79, 127, 228,
180)(80, 199, 227, 108)(83, 110, 224, 197)(84, 182, 223, 125)(87, 93, 220,
214)(88, 165, 219, 142)(92, 148, 215, 159)(96, 131, 211, 176)(97, 203, 210,
104)(100, 114, 207, 193)(101, 186, 206, 121)(105, 169, 202, 138)(109, 152, 198,
155)(113, 135, 194, 172)(117, 118, 190, 189)(122, 173, 185, 134)(126, 156, 181,
151)(130, 139, 177, 168)(143, 160, 164, 147) (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, 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, 241, 242, 243, 244,
245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260,
261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276,
277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292,
293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305)
C4[ 305, 1 ]
305
-1 2 234 73 305
-2 1 3 235 74
-3 2 4 236 75
-4 3 5 237 76
-5 77 4 6 238
-6 78 5 7 239
-7 79 6 8 240
-8 80 7 9 241
-9 242 81 8 10
-10 11 243 82 9
-11 12 244 83 10
-12 11 13 245 84
-13 12 14 246 85
-14 13 15 247 86
-15 14 16 248 87
-16 88 15 17 249
-17 89 16 18 250
-18 90 17 19 251
-19 91 18 20 252
-20 253 92 19 21
-21 22 254 93 20
-22 23 255 94 21
-23 22 24 256 95
-24 23 25 257 96
-25 24 26 258 97
-26 25 27 259 98
-27 99 26 28 260
-28 100 27 29 261
-29 101 28 30 262
-30 102 29 31 263
-31 264 103 30 32
-32 33 265 104 31
-33 34 266 105 32
-34 33 35 267 106
-35 34 36 268 107
-36 35 37 269 108
-37 36 38 270 109
-38 110 37 39 271
-39 111 38 40 272
-40 112 39 41 273
-41 113 40 42 274
-42 275 114 41 43
-43 44 276 115 42
-44 45 277 116 43
-45 44 46 278 117
-46 45 47 279 118
-47 46 48 280 119
-48 47 49 281 120
-49 121 48 50 282
-50 122 49 51 283
-51 123 50 52 284
-52 124 51 53 285
-53 286 125 52 54
-54 55 287 126 53
-55 56 288 127 54
-56 55 57 289 128
-57 56 58 290 129
-58 57 59 291 130
-59 58 60 292 131
-60 132 59 61 293
-61 133 60 62 294
-62 134 61 63 295
-63 135 62 64 296
-64 297 136 63 65
-65 66 298 137 64
-66 67 299 138 65
-67 66 68 300 139
-68 67 69 301 140
-69 68 70 302 141
-70 69 71 303 142
-71 143 70 72 304
-72 144 71 73 305
-73 1 145 72 74
-74 2 146 73 75
-75 3 147 74 76
-76 77 4 148 75
-77 78 5 149 76
-78 77 79 6 150
-79 78 80 7 151
-80 79 81 8 152
-81 80 82 9 153
-82 154 81 83 10
-83 11 155 82 84
-84 12 156 83 85
-85 13 157 84 86
-86 14 158 85 87
-87 88 15 159 86
-88 89 16 160 87
-89 88 90 17 161
-90 89 91 18 162
-91 90 92 19 163
-92 91 93 20 164
-93 165 92 94 21
-94 22 166 93 95
-95 23 167 94 96
-96 24 168 95 97
-97 25 169 96 98
-98 99 26 170 97
-99 100 27 171 98
-100 99 101 28 172
-101 100 102 29 173
-102 101 103 30 174
-103 102 104 31 175
-104 176 103 105 32
-105 33 177 104 106
-106 34 178 105 107
-107 35 179 106 108
-108 36 180 107 109
-109 110 37 181 108
-110 111 38 182 109
-111 110 112 39 183
-112 111 113 40 184
-113 112 114 41 185
-114 113 115 42 186
-115 187 114 116 43
-116 44 188 115 117
-117 45 189 116 118
-118 46 190 117 119
-119 47 191 118 120
-120 121 48 192 119
-121 122 49 193 120
-122 121 123 50 194
-123 122 124 51 195
-124 123 125 52 196
-125 124 126 53 197
-126 198 125 127 54
-127 55 199 126 128
-128 56 200 127 129
-129 57 201 128 130
-130 58 202 129 131
-131 132 59 203 130
-132 133 60 204 131
-133 132 134 61 205
-134 133 135 62 206
-135 134 136 63 207
-136 135 137 64 208
-137 209 136 138 65
-138 66 210 137 139
-139 67 211 138 140
-140 68 212 139 141
-141 69 213 140 142
-142 143 70 214 141
-143 144 71 215 142
-144 143 145 72 216
-145 144 146 73 217
-146 145 147 74 218
-147 146 148 75 219
-148 220 147 149 76
-149 77 221 148 150
-150 78 222 149 151
-151 79 223 150 152
-152 80 224 151 153
-153 154 81 225 152
-154 155 82 226 153
-155 154 156 83 227
-156 155 157 84 228
-157 156 158 85 229
-158 157 159 86 230
-159 231 158 160 87
-160 88 232 159 161
-161 89 233 160 162
-162 90 234 161 163
-163 91 235 162 164
-164 165 92 236 163
-165 166 93 237 164
-166 165 167 94 238
-167 166 168 95 239
-168 167 169 96 240
-169 168 170 97 241
-170 242 169 171 98
-171 99 243 170 172
-172 100 244 171 173
-173 101 245 172 174
-174 102 246 173 175
-175 176 103 247 174
-176 177 104 248 175
-177 176 178 105 249
-178 177 179 106 250
-179 178 180 107 251
-180 179 181 108 252
-181 253 180 182 109
-182 110 254 181 183
-183 111 255 182 184
-184 112 256 183 185
-185 113 257 184 186
-186 187 114 258 185
-187 188 115 259 186
-188 187 189 116 260
-189 188 190 117 261
-190 189 191 118 262
-191 190 192 119 263
-192 264 191 193 120
-193 121 265 192 194
-194 122 266 193 195
-195 123 267 194 196
-196 124 268 195 197
-197 198 125 269 196
-198 199 126 270 197
-199 198 200 127 271
-200 199 201 128 272
-201 200 202 129 273
-202 201 203 130 274
-203 275 202 204 131
-204 132 276 203 205
-205 133 277 204 206
-206 134 278 205 207
-207 135 279 206 208
-208 209 136 280 207
-209 210 137 281 208
-210 209 211 138 282
-211 210 212 139 283
-212 211 213 140 284
-213 212 214 141 285
-214 286 213 215 142
-215 143 287 214 216
-216 144 288 215 217
-217 145 289 216 218
-218 146 290 217 219
-219 220 147 291 218
-220 221 148 292 219
-221 220 222 149 293
-222 221 223 150 294
-223 222 224 151 295
-224 223 225 152 296
-225 297 224 226 153
-226 154 298 225 227
-227 155 299 226 228
-228 156 300 227 229
-229 157 301 228 230
-230 231 158 302 229
-231 232 159 303 230
-232 231 233 160 304
-233 232 234 161 305
-234 1 233 235 162
-235 2 234 236 163
-236 3 235 237 164
-237 165 4 236 238
-238 166 5 237 239
-239 167 6 238 240
-240 168 7 239 241
-241 242 169 8 240
-242 243 170 9 241
-243 242 244 171 10
-244 11 243 245 172
-245 12 244 246 173
-246 13 245 247 174
-247 14 246 248 175
-248 176 15 247 249
-249 177 16 248 250
-250 178 17 249 251
-251 179 18 250 252
-252 253 180 19 251
-253 254 181 20 252
-254 253 255 182 21
-255 22 254 256 183
-256 23 255 257 184
-257 24 256 258 185
-258 25 257 259 186
-259 187 26 258 260
-260 188 27 259 261
-261 189 28 260 262
-262 190 29 261 263
-263 264 191 30 262
-264 265 192 31 263
-265 264 266 193 32
-266 33 265 267 194
-267 34 266 268 195
-268 35 267 269 196
-269 36 268 270 197
-270 198 37 269 271
-271 199 38 270 272
-272 200 39 271 273
-273 201 40 272 274
-274 275 202 41 273
-275 276 203 42 274
-276 275 277 204 43
-277 44 276 278 205
-278 45 277 279 206
-279 46 278 280 207
-280 47 279 281 208
-281 209 48 280 282
-282 210 49 281 283
-283 211 50 282 284
-284 212 51 283 285
-285 286 213 52 284
-286 287 214 53 285
-287 286 288 215 54
-288 55 287 289 216
-289 56 288 290 217
-290 57 289 291 218
-291 58 290 292 219
-292 220 59 291 293
-293 221 60 292 294
-294 222 61 293 295
-295 223 62 294 296
-296 297 224 63 295
-297 298 225 64 296
-298 297 299 226 65
-299 66 298 300 227
-300 67 299 301 228
-301 68 300 302 229
-302 69 301 303 230
-303 231 70 302 304
-304 232 71 303 305
-305 1 233 72 304
0