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