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