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