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