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