Graph forms
for C4 [ 272, 27 ] = SDD({4,4}_8,2)
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On this page are computer-accessible forms for the graph C4[ 272, 27 ] =
SDD({4,4}_8,2).
(I) Following is a form readable by MAGMA:
g:=Graph<272|{ {128, 195}, {136, 203}, {132, 199}, {128, 196}, {136, 204}, {131,
199}, {130, 198}, {129, 197}, {129, 196}, {131, 198}, {130, 197}, {132, 200},
{135, 203}, {134, 202}, {133, 201}, {133, 200}, {135, 202}, {134, 201}, {12,
140}, {14, 142}, {63, 191}, {10, 139}, {13, 140}, {9, 139}, {60, 190}, {15,
141}, {66, 192}, {8, 139}, {14, 141}, {73, 202}, {79, 204}, {8, 140}, {57, 189},
{20, 144}, {69, 193}, {11, 141}, {23, 145}, {11, 140}, {120, 255}, {112, 247},
{104, 239}, {23, 144}, {64, 199}, {76, 203}, {1, 137}, {119, 255}, {118, 254},
{117, 253}, {116, 252}, {115, 251}, {114, 250}, {113, 249}, {112, 248}, {103,
239}, {102, 238}, {51, 187}, {26, 146}, {24, 144}, {75, 195}, {25, 144}, {119,
254}, {117, 252}, {115, 250}, {113, 248}, {100, 237}, {3, 137}, {54, 188}, {48,
186}, {27, 145}, {72, 194}, {78, 196}, {1, 138}, {118, 253}, {114, 249}, {101,
238}, {26, 145}, {2, 137}, {67, 200}, {6, 138}, {98, 238}, {96, 236}, {30, 146},
{4, 137}, {97, 236}, {31, 146}, {28, 145}, {7, 138}, {5, 139}, {99, 237}, {29,
147}, {5, 138}, {116, 251}, {98, 237}, {29, 146}, {70, 201}, {39, 183}, {36,
182}, {42, 184}, {85, 198}, {101, 246}, {91, 200}, {33, 181}, {96, 244}, {45,
185}, {99, 245}, {40, 191}, {103, 240}, {94, 201}, {82, 197}, {105, 241}, {111,
247}, {110, 246}, {109, 245}, {108, 244}, {107, 243}, {106, 242}, {22, 143},
{111, 246}, {109, 244}, {107, 242}, {105, 240}, {21, 143}, {20, 143}, {110,
245}, {106, 241}, {37, 190}, {18, 142}, {16, 141}, {19, 142}, {17, 143}, {17,
142}, {108, 243}, {34, 189}, {88, 199}, {15, 175}, {62, 158}, {60, 156}, {66,
226}, {68, 228}, {58, 155}, {61, 156}, {64, 225}, {67, 226}, {12, 174}, {57,
155}, {18, 176}, {63, 157}, {65, 227}, {71, 229}, {25, 186}, {62, 157}, {56,
155}, {31, 188}, {65, 226}, {71, 228}, {9, 173}, {104, 204}, {56, 156}, {21,
177}, {84, 240}, {70, 227}, {59, 157}, {69, 227}, {87, 241}, {16, 183}, {59,
156}, {28, 187}, {68, 227}, {2, 170}, {50, 154}, {48, 152}, {27, 179}, {3, 171},
{78, 230}, {90, 242}, {49, 152}, {76, 229}, {79, 230}, {6, 172}, {102, 204},
{51, 153}, {30, 180}, {24, 178}, {77, 231}, {19, 184}, {97, 202}, {50, 153},
{77, 230}, {54, 154}, {72, 228}, {74, 230}, {52, 153}, {55, 154}, {73, 228},
{53, 155}, {93, 243}, {75, 229}, {22, 185}, {100, 203}, {53, 154}, {74, 229},
{36, 148}, {92, 236}, {38, 150}, {90, 234}, {34, 147}, {37, 148}, {88, 233},
{91, 234}, {33, 147}, {95, 237}, {39, 149}, {89, 235}, {7, 180}, {95, 236}, {38,
149}, {32, 147}, {89, 234}, {32, 148}, {44, 152}, {82, 231}, {94, 235}, {35,
149}, {93, 235}, {47, 153}, {81, 231}, {4, 179}, {47, 152}, {35, 148}, {80,
231}, {92, 235}, {80, 232}, {46, 151}, {45, 151}, {83, 233}, {13, 182}, {44,
151}, {83, 232}, {42, 150}, {127, 195}, {126, 194}, {125, 193}, {124, 192}, {84,
232}, {86, 234}, {40, 149}, {127, 194}, {125, 192}, {43, 150}, {85, 232}, {41,
151}, {81, 239}, {87, 233}, {10, 181}, {126, 193}, {41, 150}, {86, 233}, {18,
210}, {20, 212}, {16, 209}, {19, 210}, {17, 211}, {23, 213}, {17, 210}, {124,
191}, {120, 187}, {116, 183}, {112, 179}, {108, 175}, {104, 171}, {23, 212},
{105, 173}, {123, 191}, {122, 190}, {121, 189}, {120, 188}, {115, 183}, {114,
182}, {113, 181}, {112, 180}, {107, 175}, {106, 174}, {10, 207}, {123, 190},
{121, 188}, {115, 182}, {113, 180}, {107, 174}, {105, 172}, {22, 211}, {9, 207},
{21, 211}, {8, 207}, {122, 189}, {114, 181}, {106, 173}, {20, 211}, {6, 206},
{98, 170}, {96, 168}, {30, 214}, {4, 205}, {97, 168}, {31, 214}, {28, 213}, {7,
206}, {5, 207}, {99, 169}, {29, 215}, {5, 206}, {103, 172}, {98, 169}, {29,
214}, {1, 205}, {119, 187}, {118, 186}, {117, 185}, {116, 184}, {103, 171},
{102, 170}, {51, 255}, {26, 214}, {24, 212}, {25, 212}, {119, 186}, {117, 184},
{100, 169}, {3, 205}, {48, 254}, {27, 213}, {1, 206}, {118, 185}, {101, 170},
{26, 213}, {2, 205}, {45, 253}, {96, 176}, {99, 177}, {42, 252}, {101, 178}, {8,
208}, {56, 224}, {33, 249}, {70, 159}, {11, 209}, {59, 225}, {69, 159}, {11,
208}, {59, 224}, {68, 159}, {12, 208}, {111, 179}, {110, 178}, {109, 177}, {108,
176}, {60, 224}, {39, 251}, {14, 210}, {62, 226}, {66, 158}, {13, 208}, {111,
178}, {109, 176}, {61, 224}, {64, 157}, {67, 158}, {15, 209}, {36, 250}, {63,
225}, {65, 159}, {14, 209}, {110, 177}, {62, 225}, {65, 158}, {21, 245}, {28,
255}, {68, 160}, {58, 223}, {18, 244}, {57, 223}, {30, 248}, {71, 161}, {25,
254}, {56, 223}, {71, 160}, {54, 222}, {72, 160}, {74, 162}, {52, 221}, {55,
222}, {73, 160}, {53, 223}, {75, 161}, {16, 251}, {53, 222}, {43, 192}, {22,
253}, {74, 161}, {2, 238}, {50, 222}, {48, 220}, {27, 247}, {3, 239}, {78, 162},
{49, 220}, {76, 161}, {79, 162}, {24, 246}, {51, 221}, {77, 163}, {19, 252},
{50, 221}, {46, 193}, {77, 162}, {42, 218}, {44, 220}, {84, 164}, {86, 166},
{40, 217}, {43, 218}, {82, 163}, {85, 164}, {41, 219}, {93, 175}, {47, 221},
{81, 163}, {87, 165}, {4, 247}, {55, 196}, {49, 194}, {47, 220}, {41, 218}, {10,
249}, {80, 163}, {86, 165}, {80, 164}, {90, 174}, {92, 168}, {34, 215}, {46,
219}, {6, 240}, {95, 169}, {45, 219}, {33, 215}, {83, 165}, {13, 250}, {95,
168}, {52, 195}, {44, 219}, {32, 215}, {83, 164}, {9, 241}, {32, 216}, {84,
172}, {94, 167}, {35, 217}, {93, 167}, {81, 171}, {87, 173}, {35, 216}, {61,
198}, {92, 167}, {15, 243}, {38, 218}, {36, 216}, {90, 166}, {37, 216}, {88,
165}, {91, 166}, {12, 242}, {39, 217}, {89, 167}, {7, 248}, {58, 197}, {38,
217}, {89, 166}, {31, 256}, {34, 257}, {37, 258}, {40, 259}, {46, 261}, {43,
260}, {52, 263}, {58, 265}, {54, 256}, {49, 262}, {61, 266}, {57, 257}, {63,
259}, {60, 258}, {55, 264}, {69, 261}, {76, 271}, {66, 260}, {78, 264}, {73,
270}, {64, 267}, {70, 269}, {75, 263}, {72, 262}, {67, 268}, {88, 267}, {94,
269}, {91, 268}, {82, 265}, {79, 272}, {85, 266}, {100, 271}, {97, 270}, {102,
272}, {104, 272}, {127, 263}, {126, 262}, {125, 261}, {124, 260}, {123, 259},
{122, 258}, {121, 257}, {120, 256}, {121, 256}, {127, 262}, {125, 260}, {123,
258}, {122, 257}, {126, 261}, {124, 259}, {128, 263}, {136, 271}, {128, 264},
{135, 271}, {134, 270}, {133, 269}, {132, 268}, {131, 267}, {130, 266}, {129,
265}, {129, 264}, {135, 270}, {133, 268}, {131, 266}, {130, 265}, {134, 269},
{132, 267}, {136, 272} }>;
(II) A more general form is to represent the graph as the orbit of {128, 195}
under the group generated by the following permutations:
a: (189, 257) (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: (202, 270)
c: (160, 228)
d: (204, 272)
e: (169, 237)
f: (138, 206)
g: (191, 259)
h: (162, 230)
m: (181, 249)
n1: (150, 218)
a1: (2, 5)(3, 7)(4, 6)(8, 98)(9, 101)(10, 102)(11, 95)(12, 99)(13, 100)(14,
92)(15, 96)(16, 97)(17, 89)(18, 93)(19, 94)(20, 86)(21, 90)(22, 91)(23, 83)(24,
87)(25, 88)(26, 80)(27, 84)(28, 85)(29, 77)(30, 81)(31, 82)(32, 74)(33, 79)(34,
78)(35, 71)(36, 76)(37, 75)(38, 68)(39, 73)(40, 72)(41, 65)(42, 70)(43, 69)(44,
62)(45, 67)(46, 66)(47, 59)(48, 64)(49, 63)(50, 56)(51, 61)(52, 60)(54, 58)(55,
57)(103, 112)(104, 113)(105, 111)(106, 110)(107, 109)(114, 136)(115, 135)(116,
134)(117, 133)(118, 132)(119, 131)(120, 130)(121, 129)(122, 128)(123, 127)(124,
126)(137, 138)(139, 170)(140, 169)(141, 168)(142, 167)(143, 166)(144, 165)(145,
164)(146, 163)(147, 162)(148, 161)(149, 160)(150, 159)(151, 158)(152, 157)(153,
156)(154, 155)(171, 180)(172, 179)(173, 178)(174, 177)(175, 176)(181, 204)(182,
203)(183, 202)(184, 201)(185, 200)(186, 199)(187, 198)(188, 197)(189, 196)(190,
195)(191, 194)(192, 193)(205, 206)(207, 238)(208, 237)(209, 236)(210, 235)(211,
234)(212, 233)(213, 232)(214, 231)(215, 230)(216, 229)(217, 228)(218, 227)(219,
226)(220, 225)(221, 224)(222, 223)(239, 248)(240, 247)(241, 246)(242, 245)(243,
244)(249, 272)(250, 271)(251, 270)(252, 269)(253, 268)(254, 267)(255, 266)(256,
265)(257, 264)(258, 263)(259, 262)(260, 261)
b1: (163, 231)
c1: (146, 214)
d1: (177, 245)
e1: (1, 2, 98, 95, 92, 89, 86, 83, 80, 77, 74, 71, 68, 65, 62, 59, 56, 53, 50,
47, 44, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11, 8, 5)(3, 102, 100, 97, 94,
91, 88, 85, 82, 78, 75, 72, 69, 66, 63, 60, 57, 54, 51, 48, 45, 42, 39, 36, 33,
30, 27, 24, 21, 18, 15, 12, 9, 6)(4, 101, 99, 96, 93, 90, 87, 84, 81, 79, 76,
73, 70, 67, 64, 61, 58, 55, 52, 49, 46, 43, 40, 37, 34, 31, 28, 25, 22, 19, 16,
13, 10, 7)(103, 104, 136, 135, 134, 133, 132, 131, 130, 129, 128, 127, 126, 125,
124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109,
108, 107, 106, 105)(137, 170, 169, 168, 167, 166, 165, 164, 163, 162, 161, 160,
159, 158, 157, 156, 155, 154, 153, 152, 151, 150, 149, 148, 147, 146, 145, 144,
143, 142, 141, 140, 139, 138)(171, 204, 203, 202, 201, 200, 199, 198, 197, 196,
195, 194, 193, 192, 191, 190, 189, 188, 187, 186, 185, 184, 183, 182, 181, 180,
179, 178, 177, 176, 175, 174, 173, 172)(205, 238, 237, 236, 235, 234, 233, 232,
231, 230, 229, 228, 227, 226, 225, 224, 223, 222, 221, 220, 219, 218, 217, 216,
215, 214, 213, 212, 211, 210, 209, 208, 207, 206)(239, 272, 271, 270, 269, 268,
267, 266, 265, 264, 263, 262, 261, 260, 259, 258, 257, 256, 255, 254, 253, 252,
251, 250, 249, 248, 247, 246, 245, 244, 243, 242, 241, 240)
f1: (1, 3, 2, 4)(5, 81, 98, 27)(6, 104, 101, 112)(7, 103, 102, 111)(8, 82, 95,
28)(9, 77, 99, 26)(10, 80, 100, 23)(11, 58, 92, 51)(12, 129, 96, 120)(13, 130,
97, 119)(14, 57, 89, 52)(15, 53, 93, 50)(16, 56, 94, 47)(17, 34, 86, 75)(18,
121, 90, 128)(19, 122, 91, 127)(20, 33, 83, 76)(21, 29, 87, 74)(22, 32, 88,
71)(24, 113, 84, 136)(25, 114, 85, 135)(30, 105, 79, 110)(31, 106, 78, 109)(35,
64, 68, 45)(36, 131, 73, 118)(37, 132, 72, 117)(38, 63, 65, 46)(39, 59, 70,
44)(40, 62, 69, 41)(42, 123, 67, 126)(43, 124, 66, 125)(48, 115, 61, 134)(49,
116, 60, 133)(54, 107, 55, 108)(138, 171, 170, 179)(139, 163, 169, 145)(140,
197, 168, 187)(141, 155, 167, 153)(142, 189, 166, 195)(143, 147, 165, 161)(144,
181, 164, 203)(146, 173, 162, 177)(148, 199, 160, 185)(149, 157, 159, 151)(150,
191, 158, 193)(152, 183, 156, 201)(154, 175)(172, 204, 178, 180)(174, 196, 176,
188)(182, 198, 202, 186)(184, 190, 200, 194)(206, 239, 238, 247)(207, 231, 237,
213)(208, 265, 236, 255)(209, 223, 235, 221)(210, 257, 234, 263)(211, 215, 233,
229)(212, 249, 232, 271)(214, 241, 230, 245)(216, 267, 228, 253)(217, 225, 227,
219)(218, 259, 226, 261)(220, 251, 224, 269)(222, 243)(240, 272, 246, 248)(242,
264, 244, 256)(250, 266, 270, 254)(252, 258, 268, 262)
g1: (180, 248)
h1: (147, 215)
m1: (157, 225)
n2: (171, 239)
a2: (140, 208)
b2: (167, 235)
c2: (200, 268)
d2: (166, 234)
e2: (168, 236)
f2: (175, 243)
g2: (144, 212)
h2: (143, 211)
m2: (176, 244)
n3: (165, 233)
a3: (195, 263)
b3: (186, 254)
c3: (153, 221)
d3: (179, 247)
e3: (148, 216)
f3: (196, 264)
g3: (164, 232)
h3: (188, 256)
m3: (155, 223)
n4: (192, 260)
a4: (174, 242)
b4: (141, 209)
c4: (170, 238)
d4: (137, 205)
e4: (178, 246)
f4: (145, 213)
g4: (197, 265)
h4: (193, 261)
m4: (159, 227)
n5: (183, 251)
a5: (152, 220)
b5: (173, 241)
c5: (142, 210)
d5: (154, 222)
e5: (185, 253)
f5: (187, 255)
g5: (156, 224)
h5: (194, 262)
m5: (182, 250)
n6: (198, 266)
a6: (190, 258)
b6: (184, 252)
c6: (151, 219)
d6: (201, 269)
e6: (203, 271)
f6: (139, 207)
g6: (172, 240)
h6: (158, 226)
m6: (199, 267)
n7: (161, 229)
C4[ 272, 27 ]
272
-1 137 138 205 206
-2 137 170 205 238
-3 137 171 205 239
-4 179 137 247 205
-5 138 139 206 207
-6 138 172 206 240
-7 180 138 248 206
-8 139 140 207 208
-9 139 173 207 241
-10 181 139 249 207
-11 209 140 141 208
-12 242 140 174 208
-13 182 140 250 208
-14 209 210 141 142
-15 209 243 141 175
-16 209 183 141 251
-17 143 210 211 142
-18 176 210 244 142
-19 210 184 142 252
-20 143 144 211 212
-21 143 177 211 245
-22 143 253 211 185
-23 144 145 212 213
-24 144 178 212 246
-25 144 254 212 186
-26 145 146 213 214
-27 145 179 213 247
-28 187 145 255 213
-29 146 147 214 215
-30 146 180 214 248
-31 188 146 256 214
-32 147 148 215 216
-33 147 181 215 249
-34 189 147 257 215
-35 148 149 216 217
-36 148 182 216 250
-37 190 148 258 216
-38 149 150 217 218
-39 149 183 217 251
-40 191 149 259 217
-41 150 151 218 219
-42 150 184 218 252
-43 192 150 260 218
-44 220 151 152 219
-45 253 151 185 219
-46 193 151 261 219
-47 220 221 152 153
-48 220 254 152 186
-49 220 194 152 262
-50 154 221 222 153
-51 187 221 255 153
-52 221 195 153 263
-53 154 155 222 223
-54 154 188 222 256
-55 154 264 222 196
-56 155 156 223 224
-57 155 189 223 257
-58 155 265 223 197
-59 156 157 224 225
-60 156 190 224 258
-61 198 156 266 224
-62 157 158 225 226
-63 157 191 225 259
-64 199 157 267 225
-65 158 159 226 227
-66 158 192 226 260
-67 200 158 268 226
-68 159 160 227 228
-69 159 193 227 261
-70 201 159 269 227
-71 160 161 228 229
-72 160 194 228 262
-73 202 160 270 228
-74 161 162 229 230
-75 161 195 229 263
-76 203 161 271 229
-77 231 162 163 230
-78 264 162 196 230
-79 204 162 272 230
-80 231 232 163 164
-81 231 171 239 163
-82 231 265 163 197
-83 165 232 233 164
-84 232 172 240 164
-85 198 232 266 164
-86 165 166 233 234
-87 165 233 173 241
-88 165 199 233 267
-89 166 167 234 235
-90 242 166 234 174
-91 166 200 234 268
-92 167 168 235 236
-93 243 167 235 175
-94 167 201 235 269
-95 168 169 236 237
-96 176 244 168 236
-97 168 202 236 270
-98 169 170 237 238
-99 177 245 169 237
-100 169 203 237 271
-101 178 246 170 238
-102 170 204 238 272
-103 171 172 239 240
-104 171 204 239 272
-105 172 173 240 241
-106 242 173 174 241
-107 242 243 174 175
-108 176 243 244 175
-109 176 177 244 245
-110 177 178 245 246
-111 178 179 246 247
-112 179 180 247 248
-113 180 181 248 249
-114 181 182 249 250
-115 182 183 250 251
-116 183 184 251 252
-117 253 184 185 252
-118 253 254 185 186
-119 187 254 255 186
-120 187 188 255 256
-121 188 189 256 257
-122 189 190 257 258
-123 190 191 258 259
-124 191 192 259 260
-125 192 193 260 261
-126 193 194 261 262
-127 194 195 262 263
-128 264 195 196 263
-129 264 265 196 197
-130 198 265 266 197
-131 198 199 266 267
-132 199 200 267 268
-133 200 201 268 269
-134 201 202 269 270
-135 202 203 270 271
-136 203 204 271 272
-137 1 2 3 4
-138 1 5 6 7
-139 5 8 9 10
-140 11 12 13 8
-141 11 14 15 16
-142 14 17 18 19
-143 22 17 20 21
-144 23 24 25 20
-145 23 26 27 28
-146 26 29 30 31
-147 33 34 29 32
-148 35 36 37 32
-149 35 38 39 40
-150 38 41 42 43
-151 44 45 46 41
-152 44 47 48 49
-153 47 50 51 52
-154 55 50 53 54
-155 56 57 58 53
-156 56 59 60 61
-157 59 62 63 64
-158 66 67 62 65
-159 68 69 70 65
-160 68 71 72 73
-161 71 74 75 76
-162 77 78 79 74
-163 77 80 81 82
-164 80 83 84 85
-165 88 83 86 87
-166 89 90 91 86
-167 89 92 93 94
-168 92 95 96 97
-169 99 100 95 98
-170 2 101 102 98
-171 3 81 103 104
-172 103 6 105 84
-173 105 106 9 87
-174 12 90 106 107
-175 15 93 107 108
-176 18 96 108 109
-177 99 110 21 109
-178 110 111 24 101
-179 111 112 4 27
-180 112 113 7 30
-181 33 113 114 10
-182 13 36 114 115
-183 16 115 39 116
-184 116 117 19 42
-185 22 45 117 118
-186 25 48 118 119
-187 28 51 119 120
-188 121 31 54 120
-189 121 34 122 57
-190 122 123 37 60
-191 123 124 40 63
-192 66 124 125 43
-193 46 69 125 126
-194 49 126 72 127
-195 127 128 52 75
-196 55 78 128 129
-197 58 82 129 130
-198 61 85 130 131
-199 88 132 64 131
-200 132 67 133 91
-201 133 134 70 94
-202 134 135 73 97
-203 100 135 136 76
-204 79 102 136 104
-205 1 2 3 4
-206 1 5 6 7
-207 5 8 9 10
-208 11 12 13 8
-209 11 14 15 16
-210 14 17 18 19
-211 22 17 20 21
-212 23 24 25 20
-213 23 26 27 28
-214 26 29 30 31
-215 33 34 29 32
-216 35 36 37 32
-217 35 38 39 40
-218 38 41 42 43
-219 44 45 46 41
-220 44 47 48 49
-221 47 50 51 52
-222 55 50 53 54
-223 56 57 58 53
-224 56 59 60 61
-225 59 62 63 64
-226 66 67 62 65
-227 68 69 70 65
-228 68 71 72 73
-229 71 74 75 76
-230 77 78 79 74
-231 77 80 81 82
-232 80 83 84 85
-233 88 83 86 87
-234 89 90 91 86
-235 89 92 93 94
-236 92 95 96 97
-237 99 100 95 98
-238 2 101 102 98
-239 3 81 103 104
-240 103 6 105 84
-241 105 106 9 87
-242 12 90 106 107
-243 15 93 107 108
-244 18 96 108 109
-245 99 110 21 109
-246 110 111 24 101
-247 111 112 4 27
-248 112 113 7 30
-249 33 113 114 10
-250 13 36 114 115
-251 16 115 39 116
-252 116 117 19 42
-253 22 45 117 118
-254 25 48 118 119
-255 28 51 119 120
-256 121 31 54 120
-257 121 34 122 57
-258 122 123 37 60
-259 123 124 40 63
-260 66 124 125 43
-261 46 69 125 126
-262 49 126 72 127
-263 127 128 52 75
-264 55 78 128 129
-265 58 82 129 130
-266 61 85 130 131
-267 88 132 64 131
-268 132 67 133 91
-269 133 134 70 94
-270 134 135 73 97
-271 100 135 136 76
-272 79 102 136 104
0