Graph forms
for C4 [ 288, 163 ] = SDD(DW(24,3))
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On this page are computer-accessible forms for the graph C4[ 288, 163 ] =
SDD(DW(24,3)).
(I) Following is a form readable by MAGMA:
g:=Graph<288|{ {138, 152}, {141, 159}, {137, 157}, {137, 159}, {128, 152}, {139,
147}, {139, 146}, {139, 145}, {138, 145}, {137, 149}, {139, 150}, {136, 150},
{141, 147}, {134, 153}, {138, 149}, {140, 172}, {130, 161}, {135, 162}, {137,
172}, {128, 166}, {142, 167}, {141, 167}, {144, 186}, {138, 161}, {132, 171},
{134, 182}, {135, 177}, {141, 186}, {129, 185}, {133, 188}, {136, 181}, {131,
194}, {128, 194}, {130, 198}, {131, 199}, {134, 195}, {140, 203}, {136, 193},
{143, 195}, {135, 201}, {142, 193}, {133, 212}, {136, 218}, {142, 220}, {143,
218}, {144, 201}, {134, 220}, {128, 219}, {132, 217}, {129, 223}, {132, 219},
{140, 239}, {142, 235}, {135, 224}, {130, 234}, {131, 234}, {132, 238}, {129,
238}, {143, 224}, {133, 245}, {130, 245}, {131, 249}, {144, 237}, {144, 239},
{78, 206}, {116, 244}, {87, 215}, {79, 206}, {112, 241}, {104, 233}, {102, 231},
{95, 222}, {97, 227}, {115, 241}, {115, 246}, {118, 243}, {94, 216}, {107, 227},
{116, 252}, {23, 158}, {91, 209}, {16, 155}, {48, 187}, {88, 211}, {17, 156},
{34, 175}, {32, 173}, {92, 209}, {49, 191}, {18, 157}, {33, 174}, {1, 145},
{105, 249}, {104, 248}, {102, 246}, {90, 202}, {96, 240}, {1, 147}, {121, 235},
{101, 247}, {6, 148}, {1, 146}, {35, 176}, {8, 155}, {2, 145}, {94, 205}, {3,
151}, {121, 237}, {117, 225}, {103, 243}, {100, 240}, {91, 207}, {9, 156}, {47,
186}, {45, 184}, {41, 188}, {15, 154}, {13, 152}, {10, 159}, {93, 200}, {4,
146}, {36, 178}, {33, 183}, {5, 147}, {1, 150}, {46, 185}, {14, 153}, {10, 157},
{3, 148}, {2, 149}, {75, 210}, {97, 248}, {2, 152}, {118, 236}, {5, 159}, {4,
158}, {3, 153}, {68, 222}, {90, 192}, {95, 197}, {12, 151}, {78, 213}, {7, 154},
{11, 150}, {93, 192}, {77, 211}, {114, 236}, {10, 149}, {73, 214}, {77, 210},
{69, 229}, {127, 223}, {3, 162}, {109, 204}, {18, 179}, {73, 232}, {4, 166},
{28, 190}, {23, 181}, {9, 171}, {8, 170}, {5, 167}, {2, 161}, {119, 212}, {12,
175}, {7, 163}, {23, 179}, {22, 178}, {21, 177}, {20, 176}, {97, 197}, {77,
232}, {6, 160}, {10, 172}, {84, 242}, {16, 183}, {26, 189}, {77, 229}, {103,
207}, {17, 184}, {110, 196}, {13, 166}, {20, 191}, {79, 228}, {8, 164}, {113,
221}, {24, 180}, {17, 189}, {9, 165}, {74, 230}, {78, 226}, {87, 251}, {88,
244}, {8, 165}, {80, 253}, {96, 205}, {6, 168}, {24, 182}, {7, 169}, {66, 236},
{83, 253}, {92, 242}, {12, 163}, {103, 200}, {105, 217}, {119, 199}, {66, 243},
{105, 216}, {88, 233}, {12, 190}, {80, 226}, {31, 172}, {110, 221}, {102, 213},
{28, 168}, {112, 196}, {100, 208}, {29, 169}, {70, 242}, {74, 254}, {9, 188},
{121, 204}, {30, 171}, {72, 253}, {73, 252}, {75, 254}, {7, 177}, {125, 203},
{21, 162}, {64, 247}, {14, 182}, {25, 161}, {24, 160}, {19, 170}, {127, 198},
{115, 202}, {69, 255}, {15, 180}, {107, 208}, {65, 250}, {90, 225}, {17, 173},
{27, 167}, {91, 231}, {4, 185}, {99, 222}, {19, 174}, {6, 187}, {71, 250}, {11,
181}, {26, 164}, {73, 247}, {88, 230}, {5, 186}, {104, 215}, {91, 228}, {46,
238}, {106, 170}, {47, 239}, {38, 231}, {108, 173}, {58, 251}, {40, 233}, {62,
255}, {38, 228}, {57, 251}, {47, 237}, {39, 229}, {60, 254}, {61, 255}, {43,
232}, {57, 250}, {53, 246}, {53, 241}, {120, 188}, {95, 155}, {30, 219}, {123,
190}, {44, 233}, {36, 226}, {57, 255}, {56, 254}, {61, 251}, {19, 212}, {126,
185}, {111, 168}, {55, 240}, {30, 217}, {27, 220}, {59, 252}, {61, 250}, {125,
181}, {11, 193}, {113, 187}, {26, 208}, {15, 196}, {50, 249}, {49, 253}, {127,
179}, {114, 190}, {52, 248}, {14, 195}, {124, 177}, {109, 160}, {42, 231}, {18,
223}, {96, 173}, {16, 222}, {125, 179}, {106, 164}, {40, 230}, {13, 194}, {111,
160}, {107, 164}, {106, 165}, {59, 244}, {39, 232}, {32, 240}, {121, 169}, {11,
218}, {108, 189}, {105, 184}, {35, 242}, {29, 204}, {14, 220}, {54, 228}, {15,
221}, {34, 241}, {120, 171}, {51, 224}, {49, 226}, {18, 198}, {123, 175}, {111,
187}, {108, 184}, {45, 249}, {44, 248}, {31, 203}, {24, 204}, {20, 192}, {19,
199}, {16, 197}, {124, 169}, {13, 219}, {107, 189}, {37, 243}, {22, 192}, {43,
252}, {52, 227}, {50, 234}, {126, 166}, {123, 163}, {122, 162}, {109, 180},
{119, 174}, {27, 193}, {114, 168}, {110, 180}, {60, 230}, {62, 229}, {109, 182},
{20, 200}, {43, 247}, {42, 246}, {41, 245}, {40, 244}, {23, 203}, {22, 202},
{21, 201}, {119, 170}, {120, 165}, {63, 225}, {25, 198}, {124, 163}, {112, 175},
{126, 158}, {93, 191}, {127, 157}, {122, 153}, {125, 158}, {120, 156}, {34,
196}, {124, 154}, {47, 201}, {55, 208}, {90, 178}, {95, 183}, {38, 207}, {51,
218}, {94, 183}, {36, 206}, {56, 210}, {37, 207}, {61, 214}, {25, 245}, {126,
146}, {123, 151}, {33, 205}, {92, 176}, {32, 205}, {122, 151}, {58, 215}, {48,
221}, {37, 200}, {93, 176}, {122, 148}, {57, 214}, {80, 191}, {27, 235}, {108,
156}, {51, 195}, {50, 194}, {31, 239}, {30, 238}, {29, 237}, {28, 236}, {94,
174}, {36, 213}, {106, 155}, {52, 197}, {46, 223}, {35, 209}, {25, 234}, {39,
211}, {110, 154}, {45, 217}, {21, 224}, {50, 199}, {45, 216}, {39, 210}, {29,
235}, {22, 225}, {38, 209}, {54, 206}, {26, 227}, {33, 216}, {40, 211}, {111,
148}, {44, 215}, {78, 178}, {41, 212}, {43, 214}, {42, 213}, {53, 202}, {28,
261}, {31, 262}, {52, 277}, {59, 282}, {41, 266}, {56, 283}, {46, 266}, {48,
276}, {37, 256}, {55, 274}, {54, 272}, {55, 273}, {32, 263}, {44, 267}, {42,
259}, {59, 274}, {34, 264}, {35, 265}, {63, 276}, {62, 275}, {54, 281}, {53,
261}, {60, 268}, {62, 270}, {51, 262}, {58, 268}, {63, 264}, {58, 257}, {49,
269}, {56, 260}, {60, 258}, {48, 271}, {63, 256}, {64, 257}, {66, 259}, {89,
280}, {85, 279}, {98, 288}, {65, 258}, {68, 263}, {83, 272}, {84, 279}, {82,
278}, {71, 258}, {74, 268}, {89, 287}, {67, 260}, {89, 286}, {74, 258}, {81,
281}, {82, 283}, {85, 284}, {86, 287}, {86, 284}, {89, 275}, {69, 270}, {70,
269}, {66, 271}, {67, 270}, {81, 284}, {83, 286}, {81, 287}, {83, 285}, {68,
267}, {75, 260}, {82, 285}, {86, 281}, {75, 283}, {64, 273}, {70, 279}, {71,
278}, {85, 260}, {76, 286}, {76, 287}, {67, 279}, {76, 280}, {64, 277}, {72,
285}, {92, 265}, {69, 275}, {72, 286}, {79, 281}, {87, 257}, {65, 278}, {72,
272}, {81, 265}, {65, 280}, {84, 269}, {85, 270}, {87, 268}, {80, 269}, {68,
282}, {67, 284}, {71, 280}, {76, 275}, {79, 272}, {86, 265}, {117, 276}, {104,
267}, {99, 263}, {101, 257}, {102, 259}, {113, 276}, {70, 288}, {116, 274}, {96,
263}, {103, 256}, {99, 267}, {116, 282}, {101, 277}, {82, 288}, {84, 288}, {101,
273}, {98, 278}, {97, 277}, {100, 273}, {118, 259}, {117, 256}, {100, 274},
{115, 261}, {114, 261}, {112, 264}, {98, 283}, {118, 271}, {99, 282}, {117,
264}, {113, 271}, {98, 285}, {143, 262}, {140, 262}, {129, 266}, {133, 266}
}>;
(II) A more general form is to represent the graph as the orbit of {138, 152}
under the group generated by the following permutations:
a: (33, 94) (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: (67, 85)
c: (53, 115)
d: (64, 101)
e: (34, 112)
f: (40, 88)
g: (29, 121)
h: (2, 4)(3, 7)(5, 11)(6, 15)(9, 19)(10, 23)(14, 29)(16, 26)(17, 33)(20, 38)(22,
42)(25, 46)(28, 34)(30, 50)(40, 43)(44, 64)(47, 51)(49, 54)(55, 68)(56, 62)(57,
60)(61, 74)(63, 66)(69, 75)(70, 81)(73, 88)(76, 82)(79, 80)(84, 86)(89, 98)(90,
102)(91, 93)(94, 108)(95, 107)(99, 100)(101, 104)(110, 111)(112, 114)(117,
118)(119, 120)(121, 134)(122, 124)(125, 137)(126, 138)(129, 130)(131, 132)(136,
141)(143, 144)(145, 146)(147, 150)(148, 154)(149, 158)(151, 163)(152, 166)(153,
169)(155, 164)(156, 174)(157, 179)(159, 181)(160, 180)(161, 185)(162, 177)(165,
170)(167, 193)(168, 196)(171, 199)(172, 203)(173, 205)(175, 190)(176, 209)(178,
213)(182, 204)(183, 189)(184, 216)(186, 218)(187, 221)(188, 212)(191, 228)(192,
231)(194, 219)(195, 237)(197, 227)(198, 223)(200, 207)(201, 224)(202, 246)(206,
226)(208, 222)(210, 229)(211, 232)(214, 230)(215, 257)(217, 249)(220, 235)(225,
259)(233, 247)(234, 238)(236, 264)(239, 262)(240, 263)(241, 261)(242, 265)(243,
256)(244, 252)(245, 266)(248, 277)(250, 258)(251, 268)(253, 272)(254, 255)(260,
270)(267, 273)(269, 281)(271, 276)(274, 282)(275, 283)(278, 280)(279, 284)(285,
286)(287, 288)
m: (5, 141)
n1: (52, 97)
a1: (44, 104)
b1: (18, 127)
c1: (47, 144)
d1: (68, 99)
e1: (32, 96)
f1: (59, 116)
g1: (26, 107)
h1: (1, 2)(3, 8)(4, 10)(5, 13)(6, 16)(7, 17)(9, 21)(11, 25)(12, 26)(14, 19)(15,
32)(18, 23)(20, 39)(22, 43)(24, 33)(27, 50)(28, 52)(29, 45)(30, 47)(31, 46)(34,
55)(35, 56)(36, 57)(37, 40)(38, 60)(41, 51)(42, 58)(44, 66)(48, 68)(49, 62)(53,
64)(54, 65)(59, 63)(61, 78)(67, 70)(69, 80)(71, 79)(72, 76)(73, 90)(74, 91)(75,
92)(77, 93)(81, 82)(83, 89)(84, 85)(86, 98)(87, 102)(88, 103)(94, 109)(95,
111)(96, 110)(97, 114)(99, 113)(100, 112)(101, 115)(104, 118)(105, 121)(106,
122)(107, 123)(108, 124)(116, 117)(119, 134)(120, 135)(125, 127)(126, 137)(128,
141)(129, 140)(130, 136)(131, 142)(132, 144)(133, 143)(138, 139)(146, 149)(147,
152)(148, 155)(150, 161)(151, 164)(153, 170)(154, 173)(156, 177)(157, 158)(159,
166)(160, 183)(162, 165)(163, 189)(167, 194)(168, 197)(169, 184)(171, 201)(172,
185)(174, 182)(175, 208)(176, 210)(178, 214)(180, 205)(181, 198)(186, 219)(187,
222)(188, 224)(190, 227)(191, 229)(192, 232)(193, 234)(195, 212)(196, 240)(199,
220)(200, 211)(202, 247)(203, 223)(204, 216)(206, 250)(207, 230)(209, 254)(213,
251)(215, 259)(217, 237)(218, 245)(221, 263)(225, 252)(226, 255)(228, 258)(231,
268)(233, 243)(235, 249)(236, 248)(238, 239)(241, 273)(242, 260)(244, 256)(246,
257)(253, 275)(261, 277)(262, 266)(264, 274)(265, 283)(267, 271)(269, 270)(272,
280)(276, 282)(278, 281)(284, 288)(285, 287)
m1: (31, 140)
n2: (82, 98)
a2: (37, 103)
b2: (46, 129)
c2: (14, 134)
d2: (60, 74)
e2: (76, 89)
f2: (81, 86)
g2: (54, 79)
h2: (12, 123)
m2: (24, 109)
n3: (7, 124)
a3: (27, 142)
b3: (36, 78)
c3: (50, 131)
d3: (58, 87)
e3: (19, 119)
f3: (57, 61)
g3: (16, 95)
h3: (6, 111)
m3: (49, 80)
n4: (22, 90)
a4: (3, 122)
b4: (15, 110)
c4: (72, 83)
d4: (4, 126)
e4: (11, 136)
f4: (2, 138)
g4: (9, 120)
h4: (23, 125)
m4: (41, 133)
n5: (17, 108)
a5: (42, 102)
b5: (45, 105)
c5: (10, 137)
d5: (25, 130)
e5: (28, 114)
f5: (38, 91)
g5: (35, 92)
h5: (48, 113)
m5: (55, 100)
n6: (39, 77)
a6: (63, 117)
b6: (62, 69)
c6: (70, 84)
d6: (2, 5)(3, 9)(4, 11)(6, 17)(7, 19)(8, 12)(13, 27)(14, 30)(15, 33)(16, 34)(18,
31)(20, 40)(21, 41)(22, 44)(24, 45)(25, 47)(26, 28)(29, 50)(32, 48)(35, 39)(36,
58)(37, 59)(38, 43)(42, 64)(46, 51)(49, 60)(52, 53)(54, 57)(55, 66)(56, 70)(61,
79)(62, 81)(63, 68)(65, 72)(69, 86)(71, 83)(73, 91)(74, 80)(75, 84)(77, 92)(78,
87)(88, 93)(90, 104)(94, 110)(95, 112)(96, 113)(97, 115)(99, 117)(100, 118)(101,
102)(103, 116)(105, 109)(106, 123)(107, 114)(108, 111)(119, 124)(120, 122)(121,
131)(126, 136)(127, 140)(128, 142)(129, 143)(130, 144)(132, 134)(133, 135)(138,
141)(145, 147)(146, 150)(148, 156)(149, 159)(151, 165)(152, 167)(153, 171)(154,
174)(155, 175)(157, 172)(158, 181)(160, 184)(161, 186)(162, 188)(163, 170)(164,
190)(166, 193)(168, 189)(169, 199)(173, 187)(176, 211)(177, 212)(178, 215)(179,
203)(180, 216)(182, 217)(183, 196)(185, 218)(191, 230)(192, 233)(194, 235)(195,
238)(197, 241)(198, 239)(200, 244)(201, 245)(202, 248)(204, 249)(205, 221)(206,
251)(207, 252)(208, 236)(209, 232)(210, 242)(213, 257)(214, 228)(219, 220)(222,
264)(223, 262)(224, 266)(225, 267)(226, 268)(227, 261)(229, 265)(231, 247)(234,
237)(240, 271)(243, 274)(246, 277)(250, 272)(253, 258)(254, 269)(255, 281)(256,
282)(259, 273)(260, 279)(263, 276)(270, 284)(275, 287)(278, 285)(280, 286)(283,
288)
e6: (8, 106)
f6: (30, 132)
g6: (65, 71)
h6: (43, 73)
m6: (51, 143)
n7: (21, 135)
a7: (20, 93)
b7: (66, 118)
c7: (13, 128)
C4[ 288, 163 ]
288
-1 145 146 147 150
-2 145 149 161 152
-3 148 151 162 153
-4 166 146 158 185
-5 167 147 159 186
-6 187 168 148 160
-7 154 177 169 163
-8 165 155 170 164
-9 165 188 156 171
-10 157 159 149 172
-11 181 193 150 218
-12 190 151 163 175
-13 166 194 152 219
-14 220 182 195 153
-15 154 221 180 196
-16 155 222 183 197
-17 156 189 173 184
-18 198 157 179 223
-19 199 212 170 174
-20 176 200 191 192
-21 177 201 224 162
-22 178 202 192 225
-23 179 158 181 203
-24 180 160 182 204
-25 198 234 245 161
-26 189 227 164 208
-27 220 167 235 193
-28 168 190 236 261
-29 169 235 204 237
-30 171 238 217 219
-31 203 172 239 262
-32 205 173 240 263
-33 183 205 216 174
-34 264 196 175 241
-35 176 209 242 265
-36 178 213 226 206
-37 243 200 256 207
-38 209 231 228 207
-39 210 232 211 229
-40 211 233 244 230
-41 188 266 212 245
-42 231 213 246 259
-43 232 214 247 252
-44 233 267 215 248
-45 216 249 184 217
-46 266 223 238 185
-47 201 237 239 186
-48 187 221 276 271
-49 253 191 269 226
-50 199 234 194 249
-51 224 195 218 262
-52 277 248 227 197
-53 202 246 261 241
-54 281 206 228 272
-55 240 273 208 274
-56 210 254 260 283
-57 255 214 250 251
-58 257 268 215 251
-59 244 282 252 274
-60 254 268 258 230
-61 255 214 250 251
-62 275 255 270 229
-63 264 276 256 225
-64 277 257 247 273
-65 278 258 280 250
-66 243 236 259 271
-67 279 270 260 284
-68 222 267 282 263
-69 275 255 270 229
-70 242 288 279 269
-71 278 258 280 250
-72 253 286 272 285
-73 232 214 247 252
-74 254 268 258 230
-75 210 254 260 283
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-82 288 278 283 285
-83 253 286 272 285
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-92 176 209 242 265
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-99 222 267 282 263
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-104 233 267 215 248
-105 216 249 184 217
-106 165 155 170 164
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-111 187 168 148 160
-112 264 196 175 241
-113 187 221 276 271
-114 168 190 236 261
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-123 190 151 163 175
-124 154 177 169 163
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-126 166 146 158 185
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-129 266 223 238 185
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-133 188 266 212 245
-134 220 182 195 153
-135 177 201 224 162
-136 181 193 150 218
-137 157 159 149 172
-138 145 149 161 152
-139 145 146 147 150
-140 203 172 239 262
-141 167 147 159 186
-142 220 167 235 193
-143 224 195 218 262
-144 201 237 239 186
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-146 1 4 126 139
-147 1 5 139 141
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-149 2 137 138 10
-150 11 1 136 139
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-152 2 13 138 128
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-155 16 95 106 8
-156 17 9 108 120
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-159 5 137 141 10
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-164 26 106 8 107
-165 106 8 9 120
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-169 121 124 7 29
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-179 23 125 127 18
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-201 144 47 135 21
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-204 121 24 29 109
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-211 77 88 39 40
-212 133 19 41 119
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-217 132 45 105 30
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-221 110 113 15 48
-222 99 68 16 95
-223 46 127 18 129
-224 143 135 51 21
-225 22 90 117 63
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-227 26 52 107 97
-228 79 91 38 54
-229 77 69 39 62
-230 88 60 40 74
-231 91 102 38 42
-232 77 39 73 43
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-245 133 25 41 130
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-247 101 73 64 43
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-252 59 116 73 43
-253 80 49 72 83
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-263 99 68 96 32
-264 34 112 117 63
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-267 44 99 68 104
-268 58 60 74 87
-269 80 70 49 84
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-274 55 100 59 116
-275 89 69 62 76
-276 113 48 117 63
-277 101 52 64 97
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-282 99 68 59 116
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-284 67 81 85 86
-285 82 72 83 98
-286 89 72 83 76
-287 89 81 86 76
-288 70 82 84 98
0