Graph forms
for C4 [ 228, 4 ] = {4,4}_<22,16>
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 228, 4 ] =
{4,4}_<22,16>.
(I) Following is a form readable by MAGMA:
g:=Graph<228|{ {2, 3}, {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}, {170, 171}, {168, 169}, {166,
167}, {164, 165}, {162, 163}, {160, 161}, {158, 159}, {156, 157}, {154, 155},
{152, 153}, {150, 151}, {148, 149}, {146, 147}, {144, 145}, {142, 143}, {140,
141}, {138, 139}, {136, 137}, {134, 135}, {132, 133}, {130, 131}, {128, 129},
{126, 127}, {124, 125}, {122, 123}, {120, 121}, {118, 119}, {116, 117}, {68,
69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52,
53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {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},
{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},
{1, 2}, {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}, {169, 170}, {165, 166}, {161, 162}, {157, 158}, {153, 154},
{149, 150}, {145, 146}, {141, 142}, {137, 138}, {133, 134}, {129, 130}, {125,
126}, {121, 122}, {117, 118}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {49, 50},
{45, 46}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30},
{33, 34}, {37, 38}, {41, 42}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86},
{89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113, 114},
{3, 4}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {195, 196}, {187, 188},
{179, 180}, {171, 172}, {163, 164}, {155, 156}, {147, 148}, {139, 140}, {131,
132}, {123, 124}, {67, 68}, {59, 60}, {51, 52}, {43, 44}, {11, 12}, {19, 20},
{27, 28}, {35, 36}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {115,
116}, {7, 8}, {215, 216}, {199, 200}, {183, 184}, {167, 168}, {151, 152}, {135,
136}, {119, 120}, {55, 56}, {23, 24}, {39, 40}, {71, 72}, {87, 88}, {103, 104},
{15, 16}, {207, 208}, {175, 176}, {143, 144}, {47, 48}, {79, 80}, {111, 112},
{80, 120}, {81, 121}, {82, 122}, {83, 123}, {84, 124}, {85, 125}, {86, 126},
{87, 127}, {75, 115}, {76, 116}, {77, 117}, {78, 118}, {79, 119}, {31, 32},
{223, 224}, {159, 160}, {95, 96}, {1, 115}, {4, 118}, {5, 119}, {8, 122}, {9,
123}, {12, 126}, {13, 127}, {1, 114}, {2, 116}, {3, 117}, {10, 124}, {11, 125},
{6, 120}, {7, 121}, {63, 64}, {191, 192}, {14, 128}, {63, 177}, {62, 176}, {47,
161}, {46, 160}, {15, 129}, {30, 144}, {31, 145}, {78, 192}, {79, 193}, {94,
208}, {95, 209}, {110, 224}, {111, 225}, {16, 130}, {61, 175}, {60, 174}, {57,
171}, {56, 170}, {53, 167}, {52, 166}, {49, 163}, {48, 162}, {17, 131}, {20,
134}, {21, 135}, {24, 138}, {25, 139}, {28, 142}, {29, 143}, {80, 194}, {81,
195}, {84, 198}, {85, 199}, {88, 202}, {89, 203}, {92, 206}, {93, 207}, {112,
226}, {113, 227}, {18, 132}, {59, 173}, {58, 172}, {51, 165}, {50, 164}, {19,
133}, {26, 140}, {27, 141}, {82, 196}, {83, 197}, {90, 204}, {91, 205}, {114,
228}, {115, 228}, {1, 155}, {68, 222}, {65, 219}, {64, 218}, {4, 158}, {5, 159},
{32, 186}, {33, 187}, {36, 190}, {37, 191}, {69, 223}, {2, 156}, {67, 221}, {66,
220}, {55, 169}, {54, 168}, {3, 157}, {22, 136}, {23, 137}, {34, 188}, {35,
189}, {86, 200}, {87, 201}, {6, 160}, {7, 161}, {14, 168}, {15, 169}, {22, 176},
{23, 177}, {30, 184}, {31, 185}, {70, 224}, {71, 225}, {8, 162}, {9, 163}, {12,
166}, {13, 167}, {24, 178}, {25, 179}, {28, 182}, {29, 183}, {72, 226}, {73,
227}, {10, 164}, {11, 165}, {26, 180}, {27, 181}, {74, 228}, {32, 146}, {45,
159}, {44, 158}, {41, 155}, {33, 147}, {36, 150}, {37, 151}, {40, 154}, {96,
210}, {97, 211}, {100, 214}, {101, 215}, {104, 218}, {105, 219}, {108, 222},
{109, 223}, {34, 148}, {43, 157}, {42, 156}, {35, 149}, {98, 212}, {99, 213},
{106, 220}, {107, 221}, {16, 170}, {17, 171}, {20, 174}, {21, 175}, {18, 172},
{19, 173}, {38, 152}, {39, 153}, {102, 216}, {103, 217}, {88, 128}, {89, 129},
{90, 130}, {91, 131}, {92, 132}, {93, 133}, {94, 134}, {95, 135}, {38, 192},
{63, 217}, {62, 216}, {55, 209}, {54, 208}, {47, 201}, {46, 200}, {39, 193},
{96, 136}, {97, 137}, {98, 138}, {99, 139}, {100, 140}, {101, 141}, {102, 142},
{103, 143}, {112, 152}, {113, 153}, {114, 154}, {40, 194}, {61, 215}, {60, 214},
{57, 211}, {56, 210}, {45, 199}, {44, 198}, {41, 195}, {42, 196}, {59, 213},
{58, 212}, {43, 197}, {64, 178}, {68, 182}, {65, 179}, {69, 183}, {72, 186},
{73, 187}, {76, 190}, {77, 191}, {66, 180}, {67, 181}, {74, 188}, {75, 189},
{104, 144}, {105, 145}, {106, 146}, {107, 147}, {108, 148}, {109, 149}, {110,
150}, {111, 151}, {48, 202}, {53, 207}, {52, 206}, {49, 203}, {50, 204}, {51,
205}, {70, 184}, {71, 185}, {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: (2, 114)(3, 113)(4, 112)(5, 111)(6, 110)(7, 109)(8, 108)(9, 107)(10, 106)(11,
105)(12, 104)(13, 103)(14, 102)(15, 101)(16, 100)(17, 99)(18, 98)(19, 97)(20,
96)(21, 95)(22, 94)(23, 93)(24, 92)(25, 91)(26, 90)(27, 89)(28, 88)(29, 87)(30,
86)(31, 85)(32, 84)(33, 83)(34, 82)(35, 81)(36, 80)(37, 79)(38, 78)(39, 77)(40,
76)(41, 75)(42, 74)(43, 73)(44, 72)(45, 71)(46, 70)(47, 69)(48, 68)(49, 67)(50,
66)(51, 65)(52, 64)(53, 63)(54, 62)(55, 61)(56, 60)(57, 59)(115, 155)(116,
154)(117, 153)(118, 152)(119, 151)(120, 150)(121, 149)(122, 148)(123, 147)(124,
146)(125, 145)(126, 144)(127, 143)(128, 142)(129, 141)(130, 140)(131, 139)(132,
138)(133, 137)(134, 136)(156, 228)(157, 227)(158, 226)(159, 225)(160, 224)(161,
223)(162, 222)(163, 221)(164, 220)(165, 219)(166, 218)(167, 217)(168, 216)(169,
215)(170, 214)(171, 213)(172, 212)(173, 211)(174, 210)(175, 209)(176, 208)(177,
207)(178, 206)(179, 205)(180, 204)(181, 203)(182, 202)(183, 201)(184, 200)(185,
199)(186, 198)(187, 197)(188, 196)(189, 195)(190, 194)(191, 193) (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: (2, 115)(3, 75)(4, 189)(5, 35)(6, 149)(7, 109)(8, 223)(9, 69)(10, 183)(11,
29)(12, 143)(13, 103)(14, 217)(15, 63)(16, 177)(17, 23)(18, 137)(19, 97)(20,
211)(21, 57)(22, 171)(24, 131)(25, 91)(26, 205)(27, 51)(28, 165)(30, 125)(31,
85)(32, 199)(33, 45)(34, 159)(36, 119)(37, 79)(38, 193)(40, 153)(41, 113)(42,
227)(43, 73)(44, 187)(46, 147)(47, 107)(48, 221)(49, 67)(50, 181)(52, 141)(53,
101)(54, 215)(55, 61)(56, 175)(58, 135)(59, 95)(60, 209)(62, 169)(64, 129)(65,
89)(66, 203)(68, 163)(70, 123)(71, 83)(72, 197)(74, 157)(76, 117)(78, 191)(80,
151)(81, 111)(82, 225)(84, 185)(86, 145)(87, 105)(88, 219)(90, 179)(92, 139)(93,
99)(94, 213)(96, 173)(98, 133)(100, 207)(102, 167)(104, 127)(106, 201)(108,
161)(110, 121)(112, 195)(114, 155)(118, 190)(120, 150)(122, 224)(124, 184)(126,
144)(128, 218)(130, 178)(132, 138)(134, 212)(136, 172)(140, 206)(142, 166)(146,
200)(148, 160)(152, 194)(156, 228)(158, 188)(162, 222)(164, 182)(168, 216)(170,
176)(174, 210)(180, 204)(186, 198)(196, 226)(202, 220)(208, 214)
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)
C4[ 228, 4 ]
228
-1 155 2 114 115
-2 1 156 3 116
-3 2 157 4 117
-4 3 158 5 118
-5 4 159 6 119
-6 5 160 7 120
-7 121 6 161 8
-8 122 7 162 9
-9 123 8 163 10
-10 11 124 9 164
-11 165 12 125 10
-12 11 166 13 126
-13 12 167 14 127
-14 13 168 15 128
-15 14 169 16 129
-16 15 170 17 130
-17 16 171 18 131
-18 132 17 172 19
-19 133 18 173 20
-20 134 19 174 21
-21 22 135 20 175
-22 176 23 136 21
-23 22 177 24 137
-24 23 178 25 138
-25 24 179 26 139
-26 25 180 27 140
-27 26 181 28 141
-28 27 182 29 142
-29 143 28 183 30
-30 144 29 184 31
-31 145 30 185 32
-32 33 146 31 186
-33 187 34 147 32
-34 33 188 35 148
-35 34 189 36 149
-36 35 190 37 150
-37 36 191 38 151
-38 37 192 39 152
-39 38 193 40 153
-40 154 39 194 41
-41 155 40 195 42
-42 156 41 196 43
-43 44 157 42 197
-44 198 45 158 43
-45 44 199 46 159
-46 45 200 47 160
-47 46 201 48 161
-48 47 202 49 162
-49 48 203 50 163
-50 49 204 51 164
-51 165 50 205 52
-52 166 51 206 53
-53 167 52 207 54
-54 55 168 53 208
-55 209 56 169 54
-56 55 210 57 170
-57 56 211 58 171
-58 57 212 59 172
-59 58 213 60 173
-60 59 214 61 174
-61 60 215 62 175
-62 176 61 216 63
-63 177 62 217 64
-64 178 63 218 65
-65 66 179 64 219
-66 220 67 180 65
-67 66 221 68 181
-68 67 222 69 182
-69 68 223 70 183
-70 69 224 71 184
-71 70 225 72 185
-72 71 226 73 186
-73 187 72 227 74
-74 188 73 228 75
-75 189 115 74 76
-76 77 190 116 75
-77 78 191 117 76
-78 77 79 192 118
-79 78 80 193 119
-80 79 81 194 120
-81 121 80 82 195
-82 122 81 83 196
-83 123 82 84 197
-84 198 124 83 85
-85 199 125 84 86
-86 200 126 85 87
-87 88 201 127 86
-88 89 202 128 87
-89 88 90 203 129
-90 89 91 204 130
-91 90 92 205 131
-92 132 91 93 206
-93 133 92 94 207
-94 134 93 95 208
-95 209 135 94 96
-96 210 136 95 97
-97 211 137 96 98
-98 99 212 138 97
-99 100 213 139 98
-100 99 101 214 140
-101 100 102 215 141
-102 101 103 216 142
-103 143 102 104 217
-104 144 103 105 218
-105 145 104 106 219
-106 220 146 105 107
-107 221 147 106 108
-108 222 148 107 109
-109 110 223 149 108
-110 111 224 150 109
-111 110 112 225 151
-112 111 113 226 152
-113 112 114 227 153
-114 154 1 113 228
-115 1 116 228 75
-116 2 115 117 76
-117 77 3 116 118
-118 78 4 117 119
-119 79 5 118 120
-120 121 80 6 119
-121 122 81 7 120
-122 121 123 82 8
-123 122 124 83 9
-124 123 125 84 10
-125 11 124 126 85
-126 12 125 127 86
-127 13 126 128 87
-128 88 14 127 129
-129 89 15 128 130
-130 90 16 129 131
-131 132 91 17 130
-132 133 92 18 131
-133 132 134 93 19
-134 133 135 94 20
-135 134 136 95 21
-136 22 135 137 96
-137 23 136 138 97
-138 24 137 139 98
-139 99 25 138 140
-140 100 26 139 141
-141 101 27 140 142
-142 143 102 28 141
-143 144 103 29 142
-144 143 145 104 30
-145 144 146 105 31
-146 145 147 106 32
-147 33 146 148 107
-148 34 147 149 108
-149 35 148 150 109
-150 110 36 149 151
-151 111 37 150 152
-152 112 38 151 153
-153 154 113 39 152
-154 155 114 40 153
-155 154 1 156 41
-156 155 2 157 42
-157 156 3 158 43
-158 44 157 4 159
-159 45 158 5 160
-160 46 159 6 161
-161 47 160 7 162
-162 48 161 8 163
-163 49 162 9 164
-164 165 50 163 10
-165 11 166 51 164
-166 165 12 167 52
-167 166 13 168 53
-168 167 14 169 54
-169 55 168 15 170
-170 56 169 16 171
-171 57 170 17 172
-172 58 171 18 173
-173 59 172 19 174
-174 60 173 20 175
-175 176 61 174 21
-176 22 177 62 175
-177 176 23 178 63
-178 177 24 179 64
-179 178 25 180 65
-180 66 179 26 181
-181 67 180 27 182
-182 68 181 28 183
-183 69 182 29 184
-184 70 183 30 185
-185 71 184 31 186
-186 187 72 185 32
-187 33 188 73 186
-188 187 34 189 74
-189 188 35 190 75
-190 189 36 191 76
-191 77 190 37 192
-192 78 191 38 193
-193 79 192 39 194
-194 80 193 40 195
-195 81 194 41 196
-196 82 195 42 197
-197 198 83 196 43
-198 44 199 84 197
-199 198 45 200 85
-200 199 46 201 86
-201 200 47 202 87
-202 88 201 48 203
-203 89 202 49 204
-204 90 203 50 205
-205 91 204 51 206
-206 92 205 52 207
-207 93 206 53 208
-208 209 94 207 54
-209 55 210 95 208
-210 209 56 211 96
-211 210 57 212 97
-212 211 58 213 98
-213 99 212 59 214
-214 100 213 60 215
-215 101 214 61 216
-216 102 215 62 217
-217 103 216 63 218
-218 104 217 64 219
-219 220 105 218 65
-220 66 221 106 219
-221 220 67 222 107
-222 221 68 223 108
-223 222 69 224 109
-224 110 223 70 225
-225 111 224 71 226
-226 112 225 72 227
-227 113 226 73 228
-228 114 115 227 74
0