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