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