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