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On this page are computer-accessible forms for the graph C4[ 266, 1 ] =
W(133,2).
(I) Following is a form readable by MAGMA:
g:=Graph<266|{ {2, 3}, {264, 265}, {262, 263}, {260, 261}, {258, 259}, {256,
257}, {254, 255}, {252, 253}, {250, 251}, {248, 249}, {246, 247}, {244, 245},
{242, 243}, {240, 241}, {238, 239}, {236, 237}, {234, 235}, {232, 233}, {230,
231}, {228, 229}, {226, 227}, {224, 225}, {222, 223}, {220, 221}, {218, 219},
{216, 217}, {214, 215}, {212, 213}, {210, 211}, {208, 209}, {206, 207}, {204,
205}, {202, 203}, {200, 201}, {198, 199}, {196, 197}, {194, 195}, {192, 193},
{190, 191}, {188, 189}, {186, 187}, {184, 185}, {182, 183}, {180, 181}, {178,
179}, {176, 177}, {174, 175}, {172, 173}, {84, 85}, {82, 83}, {80, 81}, {78,
79}, {76, 77}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62,
63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {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}, {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}, {1, 2}, {265, 266}, {261, 262}, {257, 258}, {253, 254}, {249, 250}, {245,
246}, {241, 242}, {237, 238}, {233, 234}, {229, 230}, {225, 226}, {221, 222},
{217, 218}, {213, 214}, {209, 210}, {205, 206}, {201, 202}, {197, 198}, {193,
194}, {189, 190}, {185, 186}, {181, 182}, {177, 178}, {173, 174}, {81, 82}, {77,
78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {5, 6}, {9,
10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41,
42}, {45, 46}, {49, 50}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102},
{105, 106}, {109, 110}, {113, 114}, {117, 118}, {121, 122}, {125, 126}, {129,
130}, {133, 134}, {137, 138}, {141, 142}, {145, 146}, {149, 150}, {153, 154},
{157, 158}, {161, 162}, {165, 166}, {169, 170}, {3, 4}, {259, 260}, {251, 252},
{243, 244}, {235, 236}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {195,
196}, {187, 188}, {179, 180}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {51, 52},
{11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {91, 92}, {99, 100}, {107,
108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {155, 156},
{163, 164}, {171, 172}, {7, 8}, {263, 264}, {247, 248}, {231, 232}, {215, 216},
{199, 200}, {183, 184}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {87, 88}, {103,
104}, {119, 120}, {135, 136}, {151, 152}, {167, 168}, {15, 16}, {239, 240},
{207, 208}, {175, 176}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {31, 32},
{223, 224}, {95, 96}, {159, 160}, {63, 64}, {191, 192}, {1, 133}, {83, 215},
{82, 214}, {81, 213}, {80, 212}, {75, 207}, {74, 206}, {73, 205}, {72, 204},
{67, 199}, {66, 198}, {65, 197}, {64, 196}, {59, 191}, {58, 190}, {57, 189},
{56, 188}, {51, 183}, {50, 182}, {2, 134}, {3, 135}, {8, 140}, {9, 141}, {10,
142}, {11, 143}, {16, 148}, {17, 149}, {18, 150}, {19, 151}, {24, 156}, {25,
157}, {26, 158}, {27, 159}, {32, 164}, {33, 165}, {34, 166}, {35, 167}, {40,
172}, {41, 173}, {42, 174}, {43, 175}, {48, 180}, {49, 181}, {88, 220}, {89,
221}, {90, 222}, {91, 223}, {96, 228}, {97, 229}, {98, 230}, {99, 231}, {104,
236}, {105, 237}, {106, 238}, {107, 239}, {112, 244}, {113, 245}, {114, 246},
{115, 247}, {120, 252}, {121, 253}, {122, 254}, {123, 255}, {1, 135}, {81, 215},
{80, 214}, {73, 207}, {72, 206}, {65, 199}, {64, 198}, {57, 191}, {56, 190}, {8,
142}, {9, 143}, {16, 150}, {17, 151}, {24, 158}, {25, 159}, {32, 166}, {33,
167}, {40, 174}, {41, 175}, {48, 182}, {49, 183}, {88, 222}, {89, 223}, {96,
230}, {97, 231}, {104, 238}, {105, 239}, {112, 246}, {113, 247}, {120, 254},
{121, 255}, {2, 136}, {83, 217}, {82, 216}, {71, 205}, {70, 204}, {67, 201},
{66, 200}, {55, 189}, {54, 188}, {51, 185}, {50, 184}, {3, 137}, {6, 140}, {7,
141}, {18, 152}, {19, 153}, {22, 156}, {23, 157}, {34, 168}, {35, 169}, {38,
172}, {39, 173}, {86, 220}, {87, 221}, {98, 232}, {99, 233}, {102, 236}, {103,
237}, {114, 248}, {115, 249}, {118, 252}, {119, 253}, {4, 136}, {84, 216}, {71,
203}, {70, 202}, {69, 201}, {68, 200}, {55, 187}, {54, 186}, {53, 185}, {52,
184}, {5, 137}, {6, 138}, {7, 139}, {20, 152}, {21, 153}, {22, 154}, {23, 155},
{36, 168}, {37, 169}, {38, 170}, {39, 171}, {85, 217}, {86, 218}, {87, 219},
{100, 232}, {101, 233}, {102, 234}, {103, 235}, {116, 248}, {117, 249}, {118,
250}, {119, 251}, {4, 138}, {69, 203}, {68, 202}, {53, 187}, {52, 186}, {5,
139}, {20, 154}, {21, 155}, {36, 170}, {37, 171}, {84, 218}, {85, 219}, {100,
234}, {101, 235}, {116, 250}, {117, 251}, {10, 144}, {79, 213}, {78, 212}, {75,
209}, {74, 208}, {11, 145}, {14, 148}, {15, 149}, {42, 176}, {43, 177}, {46,
180}, {47, 181}, {106, 240}, {107, 241}, {110, 244}, {111, 245}, {12, 144}, {79,
211}, {78, 210}, {77, 209}, {76, 208}, {13, 145}, {14, 146}, {15, 147}, {44,
176}, {45, 177}, {46, 178}, {47, 179}, {108, 240}, {109, 241}, {110, 242}, {111,
243}, {12, 146}, {77, 211}, {76, 210}, {13, 147}, {44, 178}, {45, 179}, {108,
242}, {109, 243}, {26, 160}, {27, 161}, {30, 164}, {31, 165}, {90, 224}, {91,
225}, {94, 228}, {95, 229}, {28, 160}, {29, 161}, {30, 162}, {31, 163}, {92,
224}, {93, 225}, {94, 226}, {95, 227}, {28, 162}, {29, 163}, {92, 226}, {93,
227}, {58, 192}, {63, 197}, {62, 196}, {59, 193}, {60, 192}, {63, 195}, {62,
194}, {61, 193}, {60, 194}, {61, 195}, {127, 128}, {1, 266}, {122, 256}, {123,
257}, {126, 260}, {127, 261}, {124, 256}, {125, 257}, {126, 258}, {127, 259},
{124, 258}, {125, 259}, {128, 260}, {129, 261}, {130, 262}, {131, 263}, {128,
262}, {129, 263}, {130, 264}, {131, 265}, {132, 264}, {133, 265}, {134, 266},
{132, 266}, {255, 256} }>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (27, 160) (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: (91, 224)
c: (113, 246)
d: (49, 182)
e: (32, 165)
f: (96, 229)
g: (14, 147)
h: (78, 211)
m: (31, 164)
n1: (95, 228)
a1: (35, 168)
b1: (99, 232)
c1: (18, 151)
d1: (82, 215)
e1: (16, 149)
f1: (80, 213)
g1: (129, 262)
h1: (117, 250)
m1: (53, 186)
n2: (60, 193)
a2: (12, 145)
b2: (76, 209)
c2: (118, 251)
d2: (54, 187)
e2: (3, 136)
f2: (67, 200)
g2: (108, 241)
h2: (44, 177)
m2: (10, 143)
n3: (74, 207)
a3: (34, 167)
b3: (98, 231)
c3: (22, 155)
d3: (86, 219)
e3: (132, 265)
f3: (112, 245)
g3: (48, 181)
h3: (126, 259)
m3: (11, 144)
n4: (75, 208)
a4: (106, 239)
b4: (42, 175)
c4: (109, 242)
d4: (45, 178)
e4: (28, 161)
f4: (92, 225)
g4: (131, 264)
h4: (63, 196)
m4: (65, 198)
n5: (5, 138)
a5: (69, 202)
b5: (61, 194)
c5: (23, 156)
d5: (87, 220)
e5: (17, 150)
f5: (81, 214)
g5: (111, 244)
h5: (127, 260)
m5: (47, 180)
n6: (121, 254)
a6: (57, 190)
b6: (125, 258)
c6: (38, 171)
d6: (102, 235)
e6: (120, 253)
f6: (56, 189)
g6: (133, 266)
h6: (2, 133)(3, 132)(4, 131)(5, 130)(6, 129)(7, 128)(8, 127)(9, 126)(10,
125)(11, 124)(12, 123)(13, 122)(14, 121)(15, 120)(16, 119)(17, 118)(18, 117)(19,
116)(20, 115)(21, 114)(22, 113)(23, 112)(24, 111)(25, 110)(26, 109)(27, 108)(28,
107)(29, 106)(30, 105)(31, 104)(32, 103)(33, 102)(34, 101)(35, 100)(36, 99)(37,
98)(38, 97)(39, 96)(40, 95)(41, 94)(42, 93)(43, 92)(44, 91)(45, 90)(46, 89)(47,
88)(48, 87)(49, 86)(50, 85)(51, 84)(52, 83)(53, 82)(54, 81)(55, 80)(56, 79)(57,
78)(58, 77)(59, 76)(60, 75)(61, 74)(62, 73)(63, 72)(64, 71)(65, 70)(66, 69)(67,
68)(135, 266)(136, 265)(137, 264)(138, 263)(139, 262)(140, 261)(141, 260)(142,
259)(143, 258)(144, 257)(145, 256)(146, 255)(147, 254)(148, 253)(149, 252)(150,
251)(151, 250)(152, 249)(153, 248)(154, 247)(155, 246)(156, 245)(157, 244)(158,
243)(159, 242)(160, 241)(161, 240)(162, 239)(163, 238)(164, 237)(165, 236)(166,
235)(167, 234)(168, 233)(169, 232)(170, 231)(171, 230)(172, 229)(173, 228)(174,
227)(175, 226)(176, 225)(177, 224)(178, 223)(179, 222)(180, 221)(181, 220)(182,
219)(183, 218)(184, 217)(185, 216)(186, 215)(187, 214)(188, 213)(189, 212)(190,
211)(191, 210)(192, 209)(193, 208)(194, 207)(195, 206)(196, 205)(197, 204)(198,
203)(199, 202)(200, 201)
m6: (24, 157)
n7: (88, 221)
a7: (29, 162)
b7: (93, 226)
c7: (21, 154)
d7: (85, 218)
e7: (116, 249)
f7: (52, 185)
g7: (7, 140)
h7: (71, 204)
m7: (105, 238)
n8: (41, 174)
a8: (130, 263)
b8: (30, 163)
c8: (94, 227)
d8: (110, 243)
e8: (124, 257)
f8: (46, 179)
g8: (62, 195)
h8: (15, 148)
m8: (79, 212)
n9: (103, 236)
a9: (39, 172)
b9: (9, 142)
c9: (73, 206)
d9: (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)
e9: (8, 141)
f9: (72, 205)
g9: (4, 137)
h9: (68, 201)
m9: (128, 261)
n10: (20, 153)
a10: (84, 217)
b10: (13, 146)
c10: (77, 210)
d10: (122, 255)
e10: (58, 191)
f10: (25, 158)
g10: (89, 222)
h10: (33, 166)
m10: (97, 230)
n11: (104, 237)
a11: (40, 173)
b11: (2, 135)
c11: (90, 223)
d11: (26, 159)
e11: (123, 256)
f11: (59, 192)
g11: (119, 252)
h11: (55, 188)
m11: (114, 247)
n12: (50, 183)
a12: (6, 139)
b12: (70, 203)
c12: (64, 197)
d12: (101, 234)
e12: (37, 170)
f12: (100, 233)
g12: (36, 169)
h12: (43, 176)
m12: (107, 240)
n13: (115, 248)
a13: (51, 184)
b13: (19, 152)
c13: (83, 216)
C4[ 266, 1 ]
266
-1 133 2 266 135
-2 1 134 3 136
-3 2 135 4 137
-4 3 136 5 138
-5 4 137 6 139
-6 5 138 7 140
-7 6 139 8 141
-8 7 140 9 142
-9 143 8 141 10
-10 11 144 9 142
-11 143 12 145 10
-12 11 144 13 146
-13 12 145 14 147
-14 13 146 15 148
-15 14 147 16 149
-16 15 148 17 150
-17 16 149 18 151
-18 17 150 19 152
-19 18 151 20 153
-20 154 19 152 21
-21 22 155 20 153
-22 154 23 156 21
-23 22 155 24 157
-24 23 156 25 158
-25 24 157 26 159
-26 25 158 27 160
-27 26 159 28 161
-28 27 160 29 162
-29 28 161 30 163
-30 29 162 31 164
-31 165 30 163 32
-32 33 166 31 164
-33 165 34 167 32
-34 33 166 35 168
-35 34 167 36 169
-36 35 168 37 170
-37 36 169 38 171
-38 37 170 39 172
-39 38 171 40 173
-40 39 172 41 174
-41 40 173 42 175
-42 176 41 174 43
-43 44 177 42 175
-44 176 45 178 43
-45 44 177 46 179
-46 45 178 47 180
-47 46 179 48 181
-48 47 180 49 182
-49 48 181 50 183
-50 49 182 51 184
-51 50 183 52 185
-52 51 184 53 186
-53 187 52 185 54
-54 55 188 53 186
-55 187 56 189 54
-56 55 188 57 190
-57 56 189 58 191
-58 57 190 59 192
-59 58 191 60 193
-60 59 192 61 194
-61 60 193 62 195
-62 61 194 63 196
-63 62 195 64 197
-64 198 63 196 65
-65 66 199 64 197
-66 198 67 200 65
-67 66 199 68 201
-68 67 200 69 202
-69 68 201 70 203
-70 69 202 71 204
-71 70 203 72 205
-72 71 204 73 206
-73 72 205 74 207
-74 73 206 75 208
-75 209 74 207 76
-76 77 210 75 208
-77 209 78 211 76
-78 77 210 79 212
-79 78 211 80 213
-80 79 212 81 214
-81 80 213 82 215
-82 81 214 83 216
-83 82 215 84 217
-84 83 216 85 218
-85 84 217 86 219
-86 220 85 218 87
-87 88 221 86 219
-88 220 89 222 87
-89 88 221 90 223
-90 89 222 91 224
-91 90 223 92 225
-92 91 224 93 226
-93 92 225 94 227
-94 93 226 95 228
-95 94 227 96 229
-96 95 228 97 230
-97 231 96 229 98
-98 99 232 97 230
-99 231 100 233 98
-100 99 232 101 234
-101 100 233 102 235
-102 101 234 103 236
-103 102 235 104 237
-104 103 236 105 238
-105 104 237 106 239
-106 105 238 107 240
-107 106 239 108 241
-108 242 107 240 109
-109 110 243 108 241
-110 242 111 244 109
-111 110 243 112 245
-112 111 244 113 246
-113 112 245 114 247
-114 113 246 115 248
-115 114 247 116 249
-116 115 248 117 250
-117 116 249 118 251
-118 117 250 119 252
-119 253 118 251 120
-120 121 254 119 252
-121 253 122 255 120
-122 121 254 123 256
-123 122 255 124 257
-124 123 256 125 258
-125 124 257 126 259
-126 125 258 127 260
-127 126 259 128 261
-128 127 260 129 262
-129 128 261 130 263
-130 264 129 262 131
-131 132 265 130 263
-132 264 133 266 131
-133 132 1 265 134
-134 133 2 266 135
-135 1 134 3 136
-136 2 135 4 137
-137 3 136 5 138
-138 4 137 6 139
-139 5 138 7 140
-140 6 139 8 141
-141 7 140 9 142
-142 143 8 141 10
-143 11 144 9 142
-144 143 12 145 10
-145 11 144 13 146
-146 12 145 14 147
-147 13 146 15 148
-148 14 147 16 149
-149 15 148 17 150
-150 16 149 18 151
-151 17 150 19 152
-152 18 151 20 153
-153 154 19 152 21
-154 22 155 20 153
-155 154 23 156 21
-156 22 155 24 157
-157 23 156 25 158
-158 24 157 26 159
-159 25 158 27 160
-160 26 159 28 161
-161 27 160 29 162
-162 28 161 30 163
-163 29 162 31 164
-164 165 30 163 32
-165 33 166 31 164
-166 165 34 167 32
-167 33 166 35 168
-168 34 167 36 169
-169 35 168 37 170
-170 36 169 38 171
-171 37 170 39 172
-172 38 171 40 173
-173 39 172 41 174
-174 40 173 42 175
-175 176 41 174 43
-176 44 177 42 175
-177 176 45 178 43
-178 44 177 46 179
-179 45 178 47 180
-180 46 179 48 181
-181 47 180 49 182
-182 48 181 50 183
-183 49 182 51 184
-184 50 183 52 185
-185 51 184 53 186
-186 187 52 185 54
-187 55 188 53 186
-188 187 56 189 54
-189 55 188 57 190
-190 56 189 58 191
-191 57 190 59 192
-192 58 191 60 193
-193 59 192 61 194
-194 60 193 62 195
-195 61 194 63 196
-196 62 195 64 197
-197 198 63 196 65
-198 66 199 64 197
-199 198 67 200 65
-200 66 199 68 201
-201 67 200 69 202
-202 68 201 70 203
-203 69 202 71 204
-204 70 203 72 205
-205 71 204 73 206
-206 72 205 74 207
-207 73 206 75 208
-208 209 74 207 76
-209 77 210 75 208
-210 209 78 211 76
-211 77 210 79 212
-212 78 211 80 213
-213 79 212 81 214
-214 80 213 82 215
-215 81 214 83 216
-216 82 215 84 217
-217 83 216 85 218
-218 84 217 86 219
-219 220 85 218 87
-220 88 221 86 219
-221 220 89 222 87
-222 88 221 90 223
-223 89 222 91 224
-224 90 223 92 225
-225 91 224 93 226
-226 92 225 94 227
-227 93 226 95 228
-228 94 227 96 229
-229 95 228 97 230
-230 231 96 229 98
-231 99 232 97 230
-232 231 100 233 98
-233 99 232 101 234
-234 100 233 102 235
-235 101 234 103 236
-236 102 235 104 237
-237 103 236 105 238
-238 104 237 106 239
-239 105 238 107 240
-240 106 239 108 241
-241 242 107 240 109
-242 110 243 108 241
-243 242 111 244 109
-244 110 243 112 245
-245 111 244 113 246
-246 112 245 114 247
-247 113 246 115 248
-248 114 247 116 249
-249 115 248 117 250
-250 116 249 118 251
-251 117 250 119 252
-252 253 118 251 120
-253 121 254 119 252
-254 253 122 255 120
-255 121 254 123 256
-256 122 255 124 257
-257 123 256 125 258
-258 124 257 126 259
-259 125 258 127 260
-260 126 259 128 261
-261 127 260 129 262
-262 128 261 130 263
-263 264 129 262 131
-264 132 265 130 263
-265 264 133 266 131
-266 132 1 265 134
0