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