Graph forms
for C4 [ 232, 6 ] = MPS(4,116;17)
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On this page are computer-accessible forms for the graph C4[ 232, 6 ] =
MPS(4,116;17).
(I) Following is a form readable by MAGMA:
g:=Graph<232|{ {112, 121}, {114, 123}, {116, 125}, {113, 122}, {115, 124}, {111,
120}, {108, 117}, {110, 119}, {109, 118}, {160, 188}, {163, 191}, {162, 190},
{161, 189}, {160, 189}, {162, 191}, {161, 190}, {147, 176}, {159, 188}, {155,
184}, {151, 180}, {148, 176}, {159, 187}, {158, 186}, {157, 185}, {156, 184},
{151, 179}, {150, 178}, {149, 177}, {148, 177}, {158, 187}, {156, 185}, {150,
179}, {149, 178}, {157, 186}, {152, 180}, {155, 183}, {154, 182}, {153, 181},
{152, 181}, {154, 183}, {153, 182}, {68, 118}, {69, 119}, {72, 122}, {73, 123},
{76, 126}, {77, 127}, {67, 117}, {74, 124}, {75, 125}, {2, 59}, {4, 61}, {6,
63}, {1, 59}, {4, 62}, {5, 63}, {5, 62}, {147, 175}, {146, 175}, {2, 60}, {3,
61}, {70, 120}, {71, 121}, {3, 60}, {60, 127}, {59, 126}, {6, 64}, {55, 113},
{54, 112}, {47, 105}, {46, 104}, {39, 97}, {7, 65}, {14, 72}, {15, 73}, {22,
80}, {23, 81}, {30, 88}, {31, 89}, {38, 96}, {7, 64}, {55, 112}, {47, 104}, {39,
96}, {15, 72}, {23, 80}, {31, 88}, {8, 65}, {58, 115}, {56, 113}, {46, 103},
{44, 101}, {42, 99}, {40, 97}, {10, 67}, {12, 69}, {14, 71}, {24, 81}, {26, 83},
{28, 85}, {30, 87}, {8, 66}, {57, 115}, {56, 114}, {45, 103}, {44, 102}, {41,
99}, {40, 98}, {9, 67}, {12, 70}, {13, 71}, {24, 82}, {25, 83}, {28, 86}, {29,
87}, {9, 66}, {57, 114}, {45, 102}, {41, 98}, {13, 70}, {25, 82}, {29, 86}, {10,
68}, {58, 116}, {43, 101}, {42, 100}, {11, 69}, {26, 84}, {27, 85}, {11, 68},
{43, 100}, {27, 84}, {128, 214}, {129, 215}, {136, 222}, {137, 223}, {128, 215},
{136, 223}, {16, 73}, {54, 111}, {52, 109}, {50, 107}, {48, 105}, {18, 75}, {20,
77}, {22, 79}, {129, 216}, {131, 218}, {133, 220}, {135, 222}, {16, 74}, {53,
111}, {52, 110}, {49, 107}, {48, 106}, {17, 75}, {20, 78}, {21, 79}, {130, 216},
{131, 217}, {134, 220}, {135, 221}, {17, 74}, {53, 110}, {49, 106}, {21, 78},
{130, 217}, {134, 221}, {18, 76}, {51, 109}, {50, 108}, {19, 77}, {132, 218},
{133, 219}, {19, 76}, {51, 108}, {132, 219}, {163, 192}, {171, 200}, {167, 196},
{164, 192}, {174, 202}, {173, 201}, {172, 200}, {167, 195}, {166, 194}, {165,
193}, {164, 193}, {174, 203}, {172, 201}, {166, 195}, {165, 194}, {173, 202},
{137, 224}, {143, 230}, {141, 228}, {139, 226}, {138, 224}, {143, 229}, {142,
228}, {139, 225}, {138, 225}, {142, 229}, {168, 196}, {171, 199}, {170, 198},
{169, 197}, {168, 197}, {170, 199}, {140, 226}, {141, 227}, {140, 227}, {169,
198}, {1, 116}, {144, 230}, {145, 231}, {144, 231}, {32, 89}, {145, 232}, {34,
91}, {36, 93}, {38, 95}, {32, 90}, {146, 232}, {33, 91}, {36, 94}, {37, 95},
{33, 90}, {37, 94}, {34, 92}, {35, 93}, {35, 92}, {52, 176}, {55, 179}, {54,
178}, {53, 177}, {56, 180}, {58, 182}, {57, 181}, {60, 168}, {61, 169}, {62,
170}, {63, 171}, {51, 175}, {59, 167}, {10, 175}, {16, 181}, {18, 183}, {24,
189}, {26, 191}, {17, 182}, {25, 190}, {121, 208}, {123, 210}, {125, 212}, {127,
214}, {122, 208}, {123, 209}, {126, 212}, {127, 213}, {19, 184}, {23, 188},
{122, 209}, {126, 213}, {20, 185}, {22, 187}, {124, 210}, {125, 211}, {21, 186},
{124, 211}, {1, 183}, {8, 190}, {9, 191}, {120, 206}, {121, 207}, {120, 207},
{117, 204}, {119, 206}, {2, 184}, {3, 185}, {6, 188}, {7, 189}, {118, 204},
{119, 205}, {11, 176}, {15, 180}, {118, 205}, {12, 177}, {14, 179}, {61, 128},
{63, 130}, {4, 186}, {5, 187}, {117, 203}, {13, 178}, {62, 129}, {64, 131}, {68,
135}, {72, 139}, {76, 143}, {80, 147}, {84, 151}, {88, 155}, {92, 159}, {96,
163}, {100, 167}, {104, 171}, {65, 132}, {67, 134}, {73, 140}, {75, 142}, {81,
148}, {83, 150}, {89, 156}, {91, 158}, {97, 164}, {99, 166}, {105, 172}, {107,
174}, {66, 133}, {74, 141}, {82, 149}, {90, 157}, {98, 165}, {106, 173}, {10,
192}, {47, 229}, {46, 228}, {43, 225}, {42, 224}, {11, 193}, {14, 196}, {15,
197}, {26, 208}, {27, 209}, {30, 212}, {31, 213}, {69, 136}, {71, 138}, {85,
152}, {87, 154}, {101, 168}, {103, 170}, {12, 194}, {45, 227}, {44, 226}, {13,
195}, {28, 210}, {29, 211}, {78, 128}, {79, 129}, {94, 144}, {95, 145}, {110,
160}, {111, 161}, {70, 137}, {86, 153}, {102, 169}, {80, 130}, {81, 131}, {84,
134}, {85, 135}, {88, 138}, {89, 139}, {92, 142}, {93, 143}, {112, 162}, {113,
163}, {116, 166}, {16, 198}, {49, 231}, {48, 230}, {17, 199}, {24, 206}, {25,
207}, {82, 132}, {83, 133}, {90, 140}, {91, 141}, {114, 164}, {115, 165}, {18,
200}, {50, 232}, {19, 201}, {22, 204}, {23, 205}, {27, 192}, {31, 196}, {28,
193}, {30, 195}, {77, 144}, {79, 146}, {20, 202}, {21, 203}, {86, 136}, {87,
137}, {29, 194}, {78, 145}, {1, 224}, {3, 226}, {5, 228}, {7, 230}, {9, 232},
{2, 225}, {6, 229}, {32, 197}, {58, 223}, {56, 221}, {50, 215}, {48, 213}, {42,
207}, {40, 205}, {34, 199}, {4, 227}, {57, 222}, {49, 214}, {41, 206}, {33,
198}, {35, 200}, {55, 220}, {51, 216}, {39, 204}, {64, 172}, {65, 173}, {66,
174}, {36, 201}, {54, 219}, {52, 217}, {38, 203}, {8, 231}, {53, 218}, {37,
202}, {96, 146}, {97, 147}, {100, 150}, {101, 151}, {104, 154}, {105, 155},
{108, 158}, {109, 159}, {32, 214}, {41, 223}, {40, 222}, {33, 215}, {98, 148},
{99, 149}, {106, 156}, {107, 157}, {34, 216}, {39, 221}, {38, 220}, {35, 217},
{43, 208}, {47, 212}, {44, 209}, {46, 211}, {93, 160}, {95, 162}, {36, 218},
{37, 219}, {102, 152}, {103, 153}, {45, 210}, {94, 161} }>;
(II) A more general form is to represent the graph as the orbit of {112, 121}
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, 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, 229, 230, 231, 232) (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, 18, 58, 42)(3, 35, 57, 25)(4, 52, 56, 8)(5, 11, 55, 49)(6, 28, 54, 32)(7,
45, 53, 15)(9, 21, 51, 39)(10, 38, 50, 22)(12, 14, 48, 46)(13, 31, 47, 29)(16,
24, 44, 36)(17, 41, 43, 19)(20, 34, 40, 26)(23, 27, 37, 33)(59, 183, 116,
224)(60, 200, 115, 207)(61, 217, 114, 190)(62, 176, 113, 231)(63, 193, 112,
214)(64, 210, 111, 197)(65, 227, 110, 180)(66, 186, 109, 221)(67, 203, 108,
204)(68, 220, 107, 187)(69, 179, 106, 228)(70, 196, 105, 211)(71, 213, 104,
194)(72, 230, 103, 177)(73, 189, 102, 218)(74, 206, 101, 201)(75, 223, 100,
184)(76, 182, 99, 225)(77, 199, 98, 208)(78, 216, 97, 191)(79, 175, 96, 232)(80,
192, 95, 215)(81, 209, 94, 198)(82, 226, 93, 181)(83, 185, 92, 222)(84, 202, 91,
205)(85, 219, 90, 188)(86, 178, 89, 229)(87, 195, 88, 212)(118, 134, 174,
158)(119, 151, 173, 141)(120, 168, 172, 124)(121, 127, 171, 165)(122, 144, 170,
148)(123, 161, 169, 131)(125, 137, 167, 155)(126, 154, 166, 138)(128, 130, 164,
162)(129, 147, 163, 145)(132, 140, 160, 152)(133, 157, 159, 135)(136, 150, 156,
142)(139, 143, 153, 149)
c: (1, 59, 2, 60, 3, 61, 4, 62, 5, 63, 6, 64, 7, 65, 8, 66, 9, 67, 10, 68, 11,
69, 12, 70, 13, 71, 14, 72, 15, 73, 16, 74, 17, 75, 18, 76, 19, 77, 20, 78, 21,
79, 22, 80, 23, 81, 24, 82, 25, 83, 26, 84, 27, 85, 28, 86, 29, 87, 30, 88, 31,
89, 32, 90, 33, 91, 34, 92, 35, 93, 36, 94, 37, 95, 38, 96, 39, 97, 40, 98, 41,
99, 42, 100, 43, 101, 44, 102, 45, 103, 46, 104, 47, 105, 48, 106, 49, 107, 50,
108, 51, 109, 52, 110, 53, 111, 54, 112, 55, 113, 56, 114, 57, 115, 58,
116)(117, 175, 118, 176, 119, 177, 120, 178, 121, 179, 122, 180, 123, 181, 124,
182, 125, 183, 126, 184, 127, 185, 128, 186, 129, 187, 130, 188, 131, 189, 132,
190, 133, 191, 134, 192, 135, 193, 136, 194, 137, 195, 138, 196, 139, 197, 140,
198, 141, 199, 142, 200, 143, 201, 144, 202, 145, 203, 146, 204, 147, 205, 148,
206, 149, 207, 150, 208, 151, 209, 152, 210, 153, 211, 154, 212, 155, 213, 156,
214, 157, 215, 158, 216, 159, 217, 160, 218, 161, 219, 162, 220, 163, 221, 164,
222, 165, 223, 166, 224, 167, 225, 168, 226, 169, 227, 170, 228, 171, 229, 172,
230, 173, 231, 174, 232)
C4[ 232, 6 ]
232
-1 59 224 116 183
-2 59 60 225 184
-3 60 61 226 185
-4 61 62 227 186
-5 187 62 63 228
-6 188 63 64 229
-7 189 64 65 230
-8 66 231 190 65
-9 66 67 232 191
-10 67 68 192 175
-11 176 68 69 193
-12 177 69 70 194
-13 178 70 71 195
-14 179 71 72 196
-15 180 72 73 197
-16 198 181 73 74
-17 199 182 74 75
-18 200 183 75 76
-19 77 201 184 76
-20 77 78 202 185
-21 78 79 203 186
-22 187 79 80 204
-23 188 80 81 205
-24 189 81 82 206
-25 190 82 83 207
-26 191 83 84 208
-27 209 192 84 85
-28 210 193 85 86
-29 211 194 86 87
-30 88 212 195 87
-31 88 89 213 196
-32 89 90 214 197
-33 198 90 91 215
-34 199 91 92 216
-35 200 92 93 217
-36 201 93 94 218
-37 202 94 95 219
-38 220 203 95 96
-39 221 204 96 97
-40 222 205 97 98
-41 99 223 206 98
-42 99 100 224 207
-43 100 101 225 208
-44 209 101 102 226
-45 210 102 103 227
-46 211 103 104 228
-47 212 104 105 229
-48 213 105 106 230
-49 231 214 106 107
-50 232 215 107 108
-51 216 108 109 175
-52 110 176 217 109
-53 110 111 177 218
-54 111 112 178 219
-55 220 112 113 179
-56 221 113 114 180
-57 222 114 115 181
-58 223 115 116 182
-59 1 2 167 126
-60 2 3 168 127
-61 3 4 169 128
-62 4 5 170 129
-63 5 6 171 130
-64 6 7 172 131
-65 132 7 8 173
-66 133 8 9 174
-67 134 117 9 10
-68 11 135 118 10
-69 11 12 136 119
-70 12 13 137 120
-71 121 13 14 138
-72 122 14 15 139
-73 123 15 16 140
-74 124 16 17 141
-75 125 17 18 142
-76 143 126 18 19
-77 144 127 19 20
-78 145 128 20 21
-79 22 146 129 21
-80 22 23 147 130
-81 23 24 148 131
-82 132 24 25 149
-83 133 25 26 150
-84 134 26 27 151
-85 135 27 28 152
-86 136 28 29 153
-87 154 137 29 30
-88 155 138 30 31
-89 156 139 31 32
-90 33 157 140 32
-91 33 34 158 141
-92 34 35 159 142
-93 143 35 36 160
-94 144 36 37 161
-95 145 37 38 162
-96 146 38 39 163
-97 147 39 40 164
-98 165 148 40 41
-99 166 149 41 42
-100 167 150 42 43
-101 44 168 151 43
-102 44 45 169 152
-103 45 46 170 153
-104 154 46 47 171
-105 155 47 48 172
-106 156 48 49 173
-107 157 49 50 174
-108 158 50 51 117
-109 159 51 52 118
-110 160 52 53 119
-111 161 53 54 120
-112 55 121 162 54
-113 55 56 122 163
-114 56 57 123 164
-115 165 57 58 124
-116 1 166 58 125
-117 67 203 204 108
-118 68 204 205 109
-119 110 69 205 206
-120 111 70 206 207
-121 112 71 207 208
-122 209 113 72 208
-123 209 210 114 73
-124 210 211 115 74
-125 211 212 116 75
-126 212 59 213 76
-127 77 213 60 214
-128 78 214 61 215
-129 79 215 62 216
-130 80 216 63 217
-131 81 217 64 218
-132 82 218 65 219
-133 66 220 83 219
-134 220 67 221 84
-135 221 68 222 85
-136 222 69 223 86
-137 223 70 224 87
-138 88 224 71 225
-139 89 225 72 226
-140 90 226 73 227
-141 91 227 74 228
-142 92 228 75 229
-143 93 229 76 230
-144 77 231 94 230
-145 231 78 232 95
-146 232 79 96 175
-147 176 80 97 175
-148 176 177 81 98
-149 99 177 178 82
-150 100 178 179 83
-151 101 179 180 84
-152 102 180 181 85
-153 103 181 182 86
-154 104 182 183 87
-155 88 105 183 184
-156 89 106 184 185
-157 90 107 185 186
-158 187 91 108 186
-159 187 188 92 109
-160 110 188 189 93
-161 111 189 190 94
-162 112 190 191 95
-163 113 191 192 96
-164 114 192 193 97
-165 115 193 194 98
-166 99 116 194 195
-167 100 59 195 196
-168 101 60 196 197
-169 198 102 61 197
-170 198 199 103 62
-171 199 200 104 63
-172 200 201 105 64
-173 201 202 106 65
-174 66 202 203 107
-175 146 147 51 10
-176 11 147 148 52
-177 12 148 149 53
-178 13 149 150 54
-179 55 14 150 151
-180 56 15 151 152
-181 57 16 152 153
-182 154 58 17 153
-183 154 1 155 18
-184 155 2 156 19
-185 156 3 157 20
-186 157 4 158 21
-187 22 158 5 159
-188 23 159 6 160
-189 24 160 7 161
-190 25 161 8 162
-191 26 162 9 163
-192 27 163 10 164
-193 11 165 28 164
-194 165 12 166 29
-195 166 13 167 30
-196 167 14 168 31
-197 168 15 169 32
-198 33 169 16 170
-199 34 170 17 171
-200 35 171 18 172
-201 36 172 19 173
-202 37 173 20 174
-203 38 117 174 21
-204 22 39 117 118
-205 23 40 118 119
-206 24 41 119 120
-207 121 25 42 120
-208 121 122 26 43
-209 44 122 123 27
-210 45 123 124 28
-211 46 124 125 29
-212 47 125 126 30
-213 48 126 127 31
-214 49 127 128 32
-215 33 50 128 129
-216 34 51 129 130
-217 35 52 130 131
-218 132 36 53 131
-219 132 133 37 54
-220 55 133 134 38
-221 56 134 135 39
-222 57 135 136 40
-223 58 136 137 41
-224 1 137 138 42
-225 2 138 139 43
-226 44 3 139 140
-227 45 4 140 141
-228 46 5 141 142
-229 143 47 6 142
-230 143 144 48 7
-231 144 145 49 8
-232 145 146 50 9
0