Graph forms
for C4 [ 296, 3 ] = C_296(1,75)
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On this page are computer-accessible forms for the graph C4[ 296, 3 ] =
C_296(1,75).
(I) Following is a form readable by MAGMA:
g:=Graph<296|{ {2, 3}, {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}, {106, 107}, {104, 105},
{102, 103}, {100, 101}, {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}, {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}, {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}, {1, 2}, {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}, {105, 106}, {101, 102}, {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}, {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}, {189, 190}, {193, 194}, {197, 198}, {3, 4},
{291, 292}, {283, 284}, {275, 276}, {267, 268}, {259, 260}, {251, 252}, {243,
244}, {235, 236}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {99, 100},
{91, 92}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {11, 12}, {19, 20}, {27, 28},
{35, 36}, {43, 44}, {51, 52}, {107, 108}, {115, 116}, {123, 124}, {131, 132},
{139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172}, {179, 180}, {187,
188}, {195, 196}, {7, 8}, {295, 296}, {279, 280}, {263, 264}, {247, 248}, {231,
232}, {215, 216}, {103, 104}, {87, 88}, {71, 72}, {23, 24}, {39, 40}, {55, 56},
{119, 120}, {135, 136}, {151, 152}, {167, 168}, {183, 184}, {199, 200}, {15,
16}, {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}, {4,
79}, {16, 91}, {20, 95}, {32, 107}, {36, 111}, {48, 123}, {52, 127}, {128, 203},
{132, 207}, {144, 219}, {148, 223}, {160, 235}, {164, 239}, {176, 251}, {180,
255}, {1, 76}, {3, 78}, {17, 92}, {19, 94}, {33, 108}, {35, 110}, {49, 124},
{51, 126}, {129, 204}, {131, 206}, {145, 220}, {147, 222}, {161, 236}, {163,
238}, {177, 252}, {179, 254}, {2, 77}, {18, 93}, {34, 109}, {50, 125}, {130,
205}, {146, 221}, {162, 237}, {178, 253}, {5, 80}, {7, 82}, {13, 88}, {15, 90},
{37, 112}, {39, 114}, {45, 120}, {47, 122}, {133, 208}, {135, 210}, {141, 216},
{143, 218}, {165, 240}, {167, 242}, {173, 248}, {175, 250}, {6, 81}, {14, 89},
{38, 113}, {46, 121}, {134, 209}, {142, 217}, {166, 241}, {174, 249}, {8, 83},
{12, 87}, {40, 115}, {44, 119}, {136, 211}, {140, 215}, {168, 243}, {172, 247},
{9, 84}, {11, 86}, {41, 116}, {43, 118}, {137, 212}, {139, 214}, {169, 244},
{171, 246}, {10, 85}, {42, 117}, {138, 213}, {170, 245}, {21, 96}, {23, 98},
{29, 104}, {31, 106}, {149, 224}, {151, 226}, {157, 232}, {159, 234}, {22, 97},
{30, 105}, {150, 225}, {158, 233}, {24, 99}, {28, 103}, {152, 227}, {156, 231},
{25, 100}, {27, 102}, {153, 228}, {155, 230}, {26, 101}, {63, 64}, {154, 229},
{191, 192}, {53, 128}, {63, 138}, {61, 136}, {55, 130}, {117, 192}, {119, 194},
{125, 200}, {127, 202}, {54, 129}, {62, 137}, {118, 193}, {126, 201}, {56, 131},
{60, 135}, {120, 195}, {124, 199}, {57, 132}, {59, 134}, {121, 196}, {123, 198},
{58, 133}, {122, 197}, {64, 139}, {100, 175}, {96, 171}, {84, 159}, {80, 155},
{68, 143}, {112, 187}, {116, 191}, {65, 140}, {99, 174}, {97, 172}, {83, 158},
{81, 156}, {67, 142}, {113, 188}, {115, 190}, {66, 141}, {98, 173}, {82, 157},
{114, 189}, {69, 144}, {103, 178}, {101, 176}, {79, 154}, {77, 152}, {71, 146},
{109, 184}, {111, 186}, {70, 145}, {102, 177}, {78, 153}, {110, 185}, {72, 147},
{104, 179}, {76, 151}, {108, 183}, {2, 223}, {105, 180}, {75, 150}, {73, 148},
{32, 253}, {34, 255}, {107, 182}, {1, 222}, {74, 149}, {33, 254}, {106, 181},
{3, 224}, {7, 228}, {11, 232}, {15, 236}, {19, 240}, {23, 244}, {27, 248}, {31,
252}, {4, 225}, {6, 227}, {12, 233}, {14, 235}, {20, 241}, {22, 243}, {28, 249},
{30, 251}, {5, 226}, {13, 234}, {21, 242}, {29, 250}, {8, 229}, {10, 231}, {24,
245}, {26, 247}, {9, 230}, {25, 246}, {85, 160}, {95, 170}, {93, 168}, {87,
162}, {86, 161}, {94, 169}, {88, 163}, {92, 167}, {16, 237}, {91, 166}, {89,
164}, {18, 239}, {17, 238}, {90, 165}, {127, 128}, {35, 256}, {63, 284}, {59,
280}, {39, 260}, {43, 264}, {47, 268}, {51, 272}, {55, 276}, {36, 257}, {62,
283}, {60, 281}, {38, 259}, {44, 265}, {46, 267}, {52, 273}, {54, 275}, {37,
258}, {61, 282}, {45, 266}, {53, 274}, {1, 296}, {40, 261}, {58, 279}, {42,
263}, {56, 277}, {41, 262}, {57, 278}, {48, 269}, {50, 271}, {49, 270}, {64,
285}, {66, 287}, {65, 286}, {67, 288}, {75, 296}, {71, 292}, {68, 289}, {70,
291}, {69, 290}, {72, 293}, {74, 295}, {73, 294}, {181, 256}, {183, 258}, {189,
264}, {191, 266}, {182, 257}, {190, 265}, {184, 259}, {188, 263}, {185, 260},
{187, 262}, {186, 261}, {192, 267}, {212, 287}, {208, 283}, {196, 271}, {193,
268}, {211, 286}, {209, 284}, {195, 270}, {194, 269}, {210, 285}, {197, 272},
{207, 282}, {205, 280}, {199, 274}, {198, 273}, {206, 281}, {200, 275}, {204,
279}, {201, 276}, {203, 278}, {202, 277}, {213, 288}, {221, 296}, {215, 290},
{214, 289}, {216, 291}, {220, 295}, {217, 292}, {219, 294}, {218, 293}, {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, 76)(3, 151)(4, 226)(6, 80)(7, 155)(8, 230)(10, 84)(11, 159)(12, 234)(14,
88)(15, 163)(16, 238)(18, 92)(19, 167)(20, 242)(22, 96)(23, 171)(24, 246)(26,
100)(27, 175)(28, 250)(30, 104)(31, 179)(32, 254)(34, 108)(35, 183)(36, 258)(38,
112)(39, 187)(40, 262)(42, 116)(43, 191)(44, 266)(46, 120)(47, 195)(48, 270)(50,
124)(51, 199)(52, 274)(54, 128)(55, 203)(56, 278)(58, 132)(59, 207)(60, 282)(62,
136)(63, 211)(64, 286)(66, 140)(67, 215)(68, 290)(70, 144)(71, 219)(72, 294)(74,
148)(75, 223)(78, 152)(79, 227)(82, 156)(83, 231)(86, 160)(87, 235)(90, 164)(91,
239)(94, 168)(95, 243)(98, 172)(99, 247)(102, 176)(103, 251)(106, 180)(107,
255)(110, 184)(111, 259)(114, 188)(115, 263)(118, 192)(119, 267)(122, 196)(123,
271)(126, 200)(127, 275)(130, 204)(131, 279)(134, 208)(135, 283)(138, 212)(139,
287)(142, 216)(143, 291)(146, 220)(147, 295)(150, 224)(154, 228)(158, 232)(162,
236)(166, 240)(170, 244)(174, 248)(178, 252)(182, 256)(186, 260)(190, 264)(194,
268)(198, 272)(202, 276)(206, 280)(210, 284)(214, 288)(218, 292)(222, 296) (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, 222)(3, 147)(4, 72)(5, 293)(6, 218)(7, 143)(8, 68)(9, 289)(10, 214)(11,
139)(12, 64)(13, 285)(14, 210)(15, 135)(16, 60)(17, 281)(18, 206)(19, 131)(20,
56)(21, 277)(22, 202)(23, 127)(24, 52)(25, 273)(26, 198)(27, 123)(28, 48)(29,
269)(30, 194)(31, 119)(32, 44)(33, 265)(34, 190)(35, 115)(36, 40)(37, 261)(38,
186)(39, 111)(41, 257)(42, 182)(43, 107)(45, 253)(46, 178)(47, 103)(49, 249)(50,
174)(51, 99)(53, 245)(54, 170)(55, 95)(57, 241)(58, 166)(59, 91)(61, 237)(62,
162)(63, 87)(65, 233)(66, 158)(67, 83)(69, 229)(70, 154)(71, 79)(73, 225)(74,
150)(76, 296)(77, 221)(78, 146)(80, 292)(81, 217)(82, 142)(84, 288)(85, 213)(86,
138)(88, 284)(89, 209)(90, 134)(92, 280)(93, 205)(94, 130)(96, 276)(97, 201)(98,
126)(100, 272)(101, 197)(102, 122)(104, 268)(105, 193)(106, 118)(108, 264)(109,
189)(110, 114)(112, 260)(113, 185)(116, 256)(117, 181)(120, 252)(121, 177)(124,
248)(125, 173)(128, 244)(129, 169)(132, 240)(133, 165)(136, 236)(137, 161)(140,
232)(141, 157)(144, 228)(145, 153)(148, 224)(151, 295)(152, 220)(155, 291)(156,
216)(159, 287)(160, 212)(163, 283)(164, 208)(167, 279)(168, 204)(171, 275)(172,
200)(175, 271)(176, 196)(179, 267)(180, 192)(183, 263)(184, 188)(187, 259)(191,
255)(195, 251)(199, 247)(203, 243)(207, 239)(211, 235)(215, 231)(219, 227)(226,
294)(230, 290)(234, 286)(238, 282)(242, 278)(246, 274)(250, 270)(254, 266)(258,
262)
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, 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)
C4[ 296, 3 ]
296
-1 2 222 76 296
-2 77 1 3 223
-3 78 2 4 224
-4 79 3 5 225
-5 80 4 6 226
-6 81 5 7 227
-7 82 6 8 228
-8 83 7 9 229
-9 84 8 10 230
-10 11 231 85 9
-11 12 232 86 10
-12 11 13 233 87
-13 88 12 14 234
-14 89 13 15 235
-15 90 14 16 236
-16 91 15 17 237
-17 92 16 18 238
-18 93 17 19 239
-19 94 18 20 240
-20 95 19 21 241
-21 22 242 96 20
-22 23 243 97 21
-23 22 24 244 98
-24 99 23 25 245
-25 100 24 26 246
-26 101 25 27 247
-27 102 26 28 248
-28 103 27 29 249
-29 104 28 30 250
-30 105 29 31 251
-31 106 30 32 252
-32 33 253 107 31
-33 34 254 108 32
-34 33 35 255 109
-35 110 34 36 256
-36 111 35 37 257
-37 112 36 38 258
-38 113 37 39 259
-39 114 38 40 260
-40 115 39 41 261
-41 116 40 42 262
-42 117 41 43 263
-43 44 264 118 42
-44 45 265 119 43
-45 44 46 266 120
-46 121 45 47 267
-47 122 46 48 268
-48 123 47 49 269
-49 124 48 50 270
-50 125 49 51 271
-51 126 50 52 272
-52 127 51 53 273
-53 128 52 54 274
-54 55 275 129 53
-55 56 276 130 54
-56 55 57 277 131
-57 132 56 58 278
-58 133 57 59 279
-59 134 58 60 280
-60 135 59 61 281
-61 136 60 62 282
-62 137 61 63 283
-63 138 62 64 284
-64 139 63 65 285
-65 66 286 140 64
-66 67 287 141 65
-67 66 68 288 142
-68 143 67 69 289
-69 144 68 70 290
-70 145 69 71 291
-71 146 70 72 292
-72 147 71 73 293
-73 148 72 74 294
-74 149 73 75 295
-75 150 74 76 296
-76 77 1 151 75
-77 78 2 152 76
-78 77 79 3 153
-79 154 78 80 4
-80 155 79 81 5
-81 156 80 82 6
-82 157 81 83 7
-83 158 82 84 8
-84 159 83 85 9
-85 160 84 86 10
-86 11 161 85 87
-87 88 12 162 86
-88 89 13 163 87
-89 88 90 14 164
-90 165 89 91 15
-91 166 90 92 16
-92 167 91 93 17
-93 168 92 94 18
-94 169 93 95 19
-95 170 94 96 20
-96 171 95 97 21
-97 22 172 96 98
-98 99 23 173 97
-99 100 24 174 98
-100 99 101 25 175
-101 176 100 102 26
-102 177 101 103 27
-103 178 102 104 28
-104 179 103 105 29
-105 180 104 106 30
-106 181 105 107 31
-107 182 106 108 32
-108 33 183 107 109
-109 110 34 184 108
-110 111 35 185 109
-111 110 112 36 186
-112 187 111 113 37
-113 188 112 114 38
-114 189 113 115 39
-115 190 114 116 40
-116 191 115 117 41
-117 192 116 118 42
-118 193 117 119 43
-119 44 194 118 120
-120 121 45 195 119
-121 122 46 196 120
-122 121 123 47 197
-123 198 122 124 48
-124 199 123 125 49
-125 200 124 126 50
-126 201 125 127 51
-127 202 126 128 52
-128 203 127 129 53
-129 204 128 130 54
-130 55 205 129 131
-131 132 56 206 130
-132 133 57 207 131
-133 132 134 58 208
-134 209 133 135 59
-135 210 134 136 60
-136 211 135 137 61
-137 212 136 138 62
-138 213 137 139 63
-139 214 138 140 64
-140 215 139 141 65
-141 66 216 140 142
-142 143 67 217 141
-143 144 68 218 142
-144 143 145 69 219
-145 220 144 146 70
-146 221 145 147 71
-147 222 146 148 72
-148 223 147 149 73
-149 224 148 150 74
-150 225 149 151 75
-151 226 150 152 76
-152 77 227 151 153
-153 154 78 228 152
-154 155 79 229 153
-155 154 156 80 230
-156 231 155 157 81
-157 232 156 158 82
-158 233 157 159 83
-159 234 158 160 84
-160 235 159 161 85
-161 236 160 162 86
-162 237 161 163 87
-163 88 238 162 164
-164 165 89 239 163
-165 166 90 240 164
-166 165 167 91 241
-167 242 166 168 92
-168 243 167 169 93
-169 244 168 170 94
-170 245 169 171 95
-171 246 170 172 96
-172 247 171 173 97
-173 248 172 174 98
-174 99 249 173 175
-175 176 100 250 174
-176 177 101 251 175
-177 176 178 102 252
-178 253 177 179 103
-179 254 178 180 104
-180 255 179 181 105
-181 256 180 182 106
-182 257 181 183 107
-183 258 182 184 108
-184 259 183 185 109
-185 110 260 184 186
-186 187 111 261 185
-187 188 112 262 186
-188 187 189 113 263
-189 264 188 190 114
-190 265 189 191 115
-191 266 190 192 116
-192 267 191 193 117
-193 268 192 194 118
-194 269 193 195 119
-195 270 194 196 120
-196 121 271 195 197
-197 198 122 272 196
-198 199 123 273 197
-199 198 200 124 274
-200 275 199 201 125
-201 276 200 202 126
-202 277 201 203 127
-203 278 202 204 128
-204 279 203 205 129
-205 280 204 206 130
-206 281 205 207 131
-207 132 282 206 208
-208 209 133 283 207
-209 210 134 284 208
-210 209 211 135 285
-211 286 210 212 136
-212 287 211 213 137
-213 288 212 214 138
-214 289 213 215 139
-215 290 214 216 140
-216 291 215 217 141
-217 292 216 218 142
-218 143 293 217 219
-219 220 144 294 218
-220 221 145 295 219
-221 220 222 146 296
-222 1 221 223 147
-223 2 222 224 148
-224 3 223 225 149
-225 4 224 226 150
-226 5 225 227 151
-227 6 226 228 152
-228 7 227 229 153
-229 154 8 228 230
-230 231 155 9 229
-231 232 156 10 230
-232 11 231 233 157
-233 12 232 234 158
-234 13 233 235 159
-235 14 234 236 160
-236 15 235 237 161
-237 16 236 238 162
-238 17 237 239 163
-239 18 238 240 164
-240 165 19 239 241
-241 242 166 20 240
-242 243 167 21 241
-243 22 242 244 168
-244 23 243 245 169
-245 24 244 246 170
-246 25 245 247 171
-247 26 246 248 172
-248 27 247 249 173
-249 28 248 250 174
-250 29 249 251 175
-251 176 30 250 252
-252 253 177 31 251
-253 254 178 32 252
-254 33 253 255 179
-255 34 254 256 180
-256 35 255 257 181
-257 36 256 258 182
-258 37 257 259 183
-259 38 258 260 184
-260 39 259 261 185
-261 40 260 262 186
-262 187 41 261 263
-263 264 188 42 262
-264 265 189 43 263
-265 44 264 266 190
-266 45 265 267 191
-267 46 266 268 192
-268 47 267 269 193
-269 48 268 270 194
-270 49 269 271 195
-271 50 270 272 196
-272 51 271 273 197
-273 198 52 272 274
-274 275 199 53 273
-275 276 200 54 274
-276 55 275 277 201
-277 56 276 278 202
-278 57 277 279 203
-279 58 278 280 204
-280 59 279 281 205
-281 60 280 282 206
-282 61 281 283 207
-283 62 282 284 208
-284 209 63 283 285
-285 286 210 64 284
-286 287 211 65 285
-287 66 286 288 212
-288 67 287 289 213
-289 68 288 290 214
-290 69 289 291 215
-291 70 290 292 216
-292 71 291 293 217
-293 72 292 294 218
-294 73 293 295 219
-295 220 74 294 296
-296 1 221 75 295
0