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