Graph forms
for C4 [ 240, 22 ] = MPS(12,40;9)
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On this page are computer-accessible forms for the graph C4[ 240, 22 ] =
MPS(12,40;9).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {40, 45}, {200, 205}, {80, 85}, {120, 125}, {160, 165}, {39, 44},
{199, 204}, {119, 124}, {36, 41}, {198, 203}, {196, 201}, {38, 43}, {116, 121},
{118, 123}, {37, 42}, {197, 202}, {117, 122}, {32, 48}, {200, 216}, {199, 215},
{198, 214}, {197, 213}, {196, 212}, {195, 211}, {194, 210}, {193, 209}, {192,
208}, {79, 95}, {78, 94}, {77, 93}, {76, 92}, {75, 91}, {74, 90}, {73, 89}, {72,
88}, {71, 87}, {70, 86}, {69, 85}, {68, 84}, {67, 83}, {66, 82}, {65, 81}, {33,
49}, {34, 50}, {35, 51}, {36, 52}, {37, 53}, {38, 54}, {39, 55}, {40, 56}, {105,
121}, {106, 122}, {107, 123}, {108, 124}, {109, 125}, {110, 126}, {111, 127},
{160, 176}, {4, 23}, {204, 223}, {172, 191}, {96, 115}, {8, 27}, {12, 31}, {44,
63}, {100, 119}, {128, 147}, {132, 151}, {136, 155}, {140, 159}, {164, 183},
{168, 187}, {1, 21}, {203, 223}, {202, 222}, {201, 221}, {171, 191}, {98, 118},
{97, 117}, {96, 116}, {2, 22}, {3, 23}, {8, 28}, {9, 29}, {10, 30}, {11, 31},
{41, 61}, {42, 62}, {43, 63}, {99, 119}, {128, 148}, {129, 149}, {130, 150},
{131, 151}, {136, 156}, {137, 157}, {138, 158}, {139, 159}, {161, 181}, {162,
182}, {163, 183}, {168, 188}, {169, 189}, {170, 190}, {3, 22}, {203, 222}, {99,
118}, {97, 116}, {9, 28}, {11, 30}, {43, 62}, {129, 148}, {131, 150}, {137,
156}, {139, 158}, {163, 182}, {169, 188}, {171, 190}, {2, 21}, {202, 221}, {98,
117}, {10, 29}, {42, 61}, {130, 149}, {138, 157}, {162, 181}, {170, 189}, {32,
57}, {194, 219}, {192, 217}, {70, 95}, {68, 93}, {66, 91}, {64, 89}, {34, 59},
{102, 127}, {33, 58}, {193, 218}, {79, 84}, {69, 94}, {65, 90}, {101, 126}, {4,
24}, {5, 25}, {6, 26}, {7, 27}, {100, 120}, {132, 152}, {133, 153}, {134, 154},
{135, 155}, {164, 184}, {165, 185}, {166, 186}, {167, 187}, {5, 24}, {78, 83},
{76, 81}, {7, 26}, {133, 152}, {135, 154}, {165, 184}, {167, 186}, {6, 25},
{195, 220}, {77, 82}, {67, 92}, {35, 60}, {134, 153}, {166, 185}, {24, 60}, {64,
100}, {144, 180}, {23, 48}, {71, 96}, {31, 56}, {143, 168}, {151, 176}, {1, 40},
{81, 120}, {74, 99}, {72, 97}, {24, 49}, {26, 51}, {28, 53}, {30, 55}, {142,
167}, {152, 177}, {154, 179}, {25, 50}, {73, 98}, {29, 54}, {141, 166}, {153,
178}, {12, 32}, {220, 240}, {207, 227}, {206, 226}, {205, 225}, {204, 224}, {95,
115}, {94, 114}, {93, 113}, {92, 112}, {13, 33}, {14, 34}, {15, 35}, {21, 57},
{22, 58}, {23, 59}, {140, 160}, {13, 32}, {207, 226}, {205, 224}, {95, 114},
{93, 112}, {15, 34}, {14, 33}, {206, 225}, {94, 113}, {75, 100}, {27, 52}, {155,
180}, {25, 41}, {80, 96}, {26, 42}, {27, 43}, {28, 44}, {29, 45}, {30, 46}, {31,
47}, {145, 161}, {146, 162}, {147, 163}, {148, 164}, {149, 165}, {150, 166},
{151, 167}, {152, 168}, {153, 169}, {154, 170}, {155, 171}, {156, 172}, {157,
173}, {158, 174}, {159, 175}, {16, 35}, {220, 239}, {216, 235}, {212, 231},
{208, 227}, {92, 111}, {88, 107}, {84, 103}, {20, 39}, {16, 36}, {219, 239},
{218, 238}, {217, 237}, {216, 236}, {211, 231}, {210, 230}, {209, 229}, {208,
228}, {91, 111}, {90, 110}, {89, 109}, {88, 108}, {83, 103}, {82, 102}, {81,
101}, {17, 37}, {18, 38}, {19, 39}, {17, 36}, {219, 238}, {217, 236}, {211,
230}, {209, 228}, {91, 110}, {89, 108}, {83, 102}, {19, 38}, {18, 37}, {218,
237}, {210, 229}, {90, 109}, {82, 101}, {22, 47}, {201, 240}, {144, 169}, {146,
171}, {148, 173}, {150, 175}, {21, 46}, {145, 170}, {149, 174}, {159, 164}, {20,
40}, {215, 235}, {214, 234}, {213, 233}, {212, 232}, {87, 107}, {86, 106}, {85,
105}, {84, 104}, {141, 177}, {142, 178}, {143, 179}, {85, 104}, {215, 234},
{213, 232}, {87, 106}, {156, 161}, {158, 163}, {86, 105}, {214, 233}, {147,
172}, {157, 162}, {61, 97}, {63, 99}, {62, 98}, {184, 220}, {63, 88}, {191,
216}, {183, 208}, {62, 87}, {190, 215}, {188, 213}, {186, 211}, {184, 209},
{161, 200}, {61, 86}, {189, 214}, {185, 210}, {44, 64}, {183, 219}, {182, 218},
{181, 217}, {175, 195}, {174, 194}, {173, 193}, {172, 192}, {60, 80}, {45, 65},
{46, 66}, {47, 67}, {45, 64}, {175, 194}, {173, 192}, {47, 66}, {46, 65}, {187,
212}, {174, 193}, {185, 201}, {191, 207}, {190, 206}, {189, 205}, {188, 204},
{187, 203}, {186, 202}, {48, 67}, {180, 199}, {176, 195}, {60, 79}, {52, 71},
{56, 75}, {48, 68}, {179, 199}, {178, 198}, {177, 197}, {176, 196}, {59, 79},
{58, 78}, {49, 69}, {50, 70}, {51, 71}, {56, 76}, {57, 77}, {49, 68}, {179,
198}, {177, 196}, {59, 78}, {51, 70}, {57, 76}, {50, 69}, {178, 197}, {58, 77},
{41, 80}, {182, 207}, {181, 206}, {52, 72}, {180, 200}, {53, 73}, {54, 74}, {55,
75}, {53, 72}, {55, 74}, {54, 73}, {16, 221}, {18, 223}, {17, 222}, {8, 222},
{9, 223}, {121, 160}, {7, 221}, {2, 227}, {4, 229}, {6, 231}, {8, 233}, {10,
235}, {12, 237}, {14, 239}, {1, 226}, {5, 230}, {9, 234}, {13, 238}, {104, 140},
{3, 228}, {11, 236}, {103, 128}, {111, 136}, {104, 129}, {106, 131}, {108, 133},
{110, 135}, {1, 235}, {4, 238}, {5, 239}, {10, 224}, {11, 225}, {14, 228}, {15,
229}, {105, 130}, {109, 134}, {101, 137}, {102, 138}, {103, 139}, {124, 144},
{125, 145}, {126, 146}, {127, 147}, {125, 144}, {127, 146}, {2, 236}, {3, 237},
{12, 226}, {13, 227}, {7, 232}, {107, 132}, {126, 145}, {112, 128}, {113, 129},
{114, 130}, {115, 131}, {116, 132}, {117, 133}, {118, 134}, {119, 135}, {120,
136}, {19, 224}, {124, 143}, {121, 141}, {122, 142}, {123, 143}, {20, 225},
{123, 142}, {6, 240}, {16, 230}, {17, 231}, {122, 141}, {112, 137}, {114, 139},
{18, 232}, {19, 233}, {113, 138}, {20, 234}, {15, 240}, {115, 140} }>;
(II) A more general form is to represent the graph as the orbit of {40, 45}
under the group generated by the following permutations:
a: (2, 12)(4, 14)(6, 16)(8, 18)(10, 20)(21, 226)(22, 237)(23, 228)(24, 239)(25,
230)(26, 221)(27, 232)(28, 223)(29, 234)(30, 225)(31, 236)(32, 227)(33, 238)(34,
229)(35, 240)(36, 231)(37, 222)(38, 233)(39, 224)(40, 235)(41, 211)(42, 202)(43,
213)(44, 204)(45, 215)(46, 206)(47, 217)(48, 208)(49, 219)(50, 210)(51, 201)(52,
212)(53, 203)(54, 214)(55, 205)(56, 216)(57, 207)(58, 218)(59, 209)(60, 220)(61,
186)(62, 197)(63, 188)(64, 199)(65, 190)(66, 181)(67, 192)(68, 183)(69, 194)(70,
185)(71, 196)(72, 187)(73, 198)(74, 189)(75, 200)(76, 191)(77, 182)(78, 193)(79,
184)(80, 195)(81, 171)(82, 162)(83, 173)(84, 164)(85, 175)(86, 166)(87, 177)(88,
168)(89, 179)(90, 170)(91, 161)(92, 172)(93, 163)(94, 174)(95, 165)(96, 176)(97,
167)(98, 178)(99, 169)(100, 180)(101, 146)(102, 157)(103, 148)(104, 159)(105,
150)(106, 141)(107, 152)(108, 143)(109, 154)(110, 145)(111, 156)(112, 147)(113,
158)(114, 149)(115, 160)(116, 151)(117, 142)(118, 153)(119, 144)(120, 155)(121,
131)(123, 133)(125, 135)(127, 137)(129, 139) (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, 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, 233, 234, 235, 236, 237, 238, 239, 240)
c: (1, 21, 57, 77, 93, 113, 129, 149, 165, 185, 201, 221, 7, 27, 43, 63, 99,
119, 135, 155, 171, 191, 207, 227, 13, 33, 49, 69, 85, 105, 121, 141, 177, 197,
213, 233, 19, 39, 55, 75, 91, 111, 127, 147, 163, 183, 219, 239, 5, 25, 41, 61,
97, 117, 133, 153, 169, 189, 205, 225, 11, 31, 47, 67, 83, 103, 139, 159, 175,
195, 211, 231, 17, 37, 53, 73, 89, 109, 125, 145, 161, 181, 217, 237, 3, 23, 59,
79, 95, 115, 131, 151, 167, 187, 203, 223, 9, 29, 45, 65, 81, 101, 137, 157,
173, 193, 209, 229, 15, 35, 51, 71, 87, 107, 123, 143, 179, 199, 215, 235)(2,
32, 58, 68, 94, 104, 130, 160, 166, 196, 202, 232, 8, 38, 44, 74, 100, 110, 136,
146, 172, 182, 208, 238, 14, 24, 50, 80, 86, 116, 122, 152, 178, 188, 214, 224,
20, 30, 56, 66, 92, 102, 128, 158, 164, 194, 220, 230, 6, 36, 42, 72, 98, 108,
134, 144, 170, 200, 206, 236, 12, 22, 48, 78, 84, 114, 140, 150, 176, 186, 212,
222, 18, 28, 54, 64, 90, 120, 126, 156, 162, 192, 218, 228, 4, 34, 60, 70, 96,
106, 132, 142, 168, 198, 204, 234, 10, 40, 46, 76, 82, 112, 138, 148, 174, 184,
210, 240, 16, 26, 52, 62, 88, 118, 124, 154, 180, 190, 216, 226)
d: (2, 20)(3, 19)(4, 18)(5, 17)(6, 16)(7, 15)(8, 14)(9, 13)(10, 12)(21, 40)(22,
39)(23, 38)(24, 37)(25, 36)(26, 35)(27, 34)(28, 33)(29, 32)(30, 31)(42, 60)(43,
59)(44, 58)(45, 57)(46, 56)(47, 55)(48, 54)(49, 53)(50, 52)(61, 80)(62, 79)(63,
78)(64, 77)(65, 76)(66, 75)(67, 74)(68, 73)(69, 72)(70, 71)(82, 100)(83, 99)(84,
98)(85, 97)(86, 96)(87, 95)(88, 94)(89, 93)(90, 92)(101, 120)(102, 119)(103,
118)(104, 117)(105, 116)(106, 115)(107, 114)(108, 113)(109, 112)(110, 111)(122,
140)(123, 139)(124, 138)(125, 137)(126, 136)(127, 135)(128, 134)(129, 133)(130,
132)(141, 160)(142, 159)(143, 158)(144, 157)(145, 156)(146, 155)(147, 154)(148,
153)(149, 152)(150, 151)(162, 180)(163, 179)(164, 178)(165, 177)(166, 176)(167,
175)(168, 174)(169, 173)(170, 172)(181, 200)(182, 199)(183, 198)(184, 197)(185,
196)(186, 195)(187, 194)(188, 193)(189, 192)(190, 191)(202, 220)(203, 219)(204,
218)(205, 217)(206, 216)(207, 215)(208, 214)(209, 213)(210, 212)(221, 240)(222,
239)(223, 238)(224, 237)(225, 236)(226, 235)(227, 234)(228, 233)(229, 232)(230,
231)
C4[ 240, 22 ]
240
-1 235 226 40 21
-2 22 236 227 21
-3 22 23 237 228
-4 23 24 238 229
-5 24 25 239 230
-6 231 25 26 240
-7 221 232 26 27
-8 222 233 27 28
-9 223 234 28 29
-10 224 235 29 30
-11 225 236 30 31
-12 226 237 31 32
-13 33 227 238 32
-14 33 34 228 239
-15 34 35 229 240
-16 221 35 36 230
-17 231 222 36 37
-18 232 223 37 38
-19 233 224 38 39
-20 234 225 39 40
-21 1 2 46 57
-22 2 3 47 58
-23 3 4 48 59
-24 4 5 49 60
-25 5 6 50 41
-26 6 7 51 42
-27 7 8 52 43
-28 44 8 9 53
-29 45 9 10 54
-30 11 55 46 10
-31 11 12 56 47
-32 12 13 57 48
-33 13 14 58 49
-34 14 15 59 50
-35 15 16 60 51
-36 16 17 41 52
-37 17 18 42 53
-38 18 19 43 54
-39 44 55 19 20
-40 1 45 56 20
-41 25 36 80 61
-42 26 37 61 62
-43 27 38 62 63
-44 28 39 63 64
-45 29 40 64 65
-46 66 30 21 65
-47 22 66 67 31
-48 23 67 68 32
-49 33 24 68 69
-50 34 25 69 70
-51 35 26 70 71
-52 36 27 71 72
-53 37 28 72 73
-54 38 29 73 74
-55 39 30 74 75
-56 40 31 75 76
-57 77 21 32 76
-58 22 33 77 78
-59 23 34 78 79
-60 24 35 79 80
-61 41 42 86 97
-62 42 43 87 98
-63 44 88 99 43
-64 44 45 89 100
-65 45 46 90 81
-66 46 47 91 82
-67 47 48 92 83
-68 48 49 93 84
-69 49 50 94 85
-70 50 51 95 86
-71 51 52 96 87
-72 88 52 53 97
-73 89 53 54 98
-74 55 99 90 54
-75 55 56 100 91
-76 56 57 81 92
-77 57 58 82 93
-78 58 59 83 94
-79 59 60 84 95
-80 60 41 85 96
-81 101 65 76 120
-82 66 77 101 102
-83 67 78 102 103
-84 68 79 103 104
-85 69 80 104 105
-86 70 61 105 106
-87 71 62 106 107
-88 72 63 107 108
-89 73 64 108 109
-90 110 74 65 109
-91 66 110 111 75
-92 67 111 112 76
-93 77 68 112 113
-94 78 69 113 114
-95 79 70 114 115
-96 80 71 115 116
-97 61 72 116 117
-98 62 73 117 118
-99 63 74 118 119
-100 64 75 119 120
-101 81 82 126 137
-102 82 83 127 138
-103 83 84 128 139
-104 84 85 129 140
-105 121 85 86 130
-106 122 86 87 131
-107 88 132 123 87
-108 88 89 133 124
-109 89 90 134 125
-110 90 91 135 126
-111 91 92 136 127
-112 92 93 137 128
-113 93 94 138 129
-114 94 95 139 130
-115 95 96 140 131
-116 121 132 96 97
-117 122 133 97 98
-118 99 123 134 98
-119 99 100 124 135
-120 100 81 125 136
-121 105 116 160 141
-122 106 117 141 142
-123 143 107 118 142
-124 143 144 108 119
-125 144 145 109 120
-126 110 101 145 146
-127 111 102 146 147
-128 112 103 147 148
-129 113 104 148 149
-130 114 105 149 150
-131 115 106 150 151
-132 116 107 151 152
-133 117 108 152 153
-134 154 118 109 153
-135 110 154 155 119
-136 111 155 156 120
-137 101 112 156 157
-138 102 113 157 158
-139 103 114 158 159
-140 104 115 159 160
-141 121 122 166 177
-142 122 123 167 178
-143 123 124 168 179
-144 124 125 169 180
-145 125 126 170 161
-146 126 127 171 162
-147 127 128 172 163
-148 128 129 173 164
-149 165 129 130 174
-150 166 130 131 175
-151 132 176 167 131
-152 132 133 177 168
-153 133 134 178 169
-154 134 135 179 170
-155 135 136 180 171
-156 136 137 161 172
-157 137 138 162 173
-158 138 139 163 174
-159 139 140 164 175
-160 121 165 176 140
-161 145 156 200 181
-162 146 157 181 182
-163 147 158 182 183
-164 148 159 183 184
-165 149 160 184 185
-166 150 141 185 186
-167 187 151 142 186
-168 143 187 188 152
-169 144 188 189 153
-170 154 145 189 190
-171 155 146 190 191
-172 156 147 191 192
-173 157 148 192 193
-174 158 149 193 194
-175 159 150 194 195
-176 160 151 195 196
-177 141 152 196 197
-178 198 142 153 197
-179 143 154 198 199
-180 144 155 199 200
-181 161 162 206 217
-182 162 163 207 218
-183 163 164 208 219
-184 165 209 220 164
-185 165 166 210 201
-186 166 167 211 202
-187 167 168 212 203
-188 168 169 213 204
-189 169 170 214 205
-190 170 171 215 206
-191 171 172 216 207
-192 172 173 217 208
-193 209 173 174 218
-194 210 174 175 219
-195 176 220 211 175
-196 176 177 201 212
-197 177 178 202 213
-198 178 179 203 214
-199 179 180 204 215
-200 180 161 205 216
-201 221 185 196 240
-202 221 222 186 197
-203 187 198 222 223
-204 188 199 223 224
-205 189 200 224 225
-206 190 181 225 226
-207 191 182 226 227
-208 192 183 227 228
-209 193 184 228 229
-210 194 185 229 230
-211 231 195 186 230
-212 187 231 232 196
-213 188 232 233 197
-214 198 189 233 234
-215 199 190 234 235
-216 200 191 235 236
-217 181 192 236 237
-218 182 193 237 238
-219 183 194 238 239
-220 184 195 239 240
-221 201 202 16 7
-222 202 203 17 8
-223 203 204 18 9
-224 204 205 19 10
-225 11 205 206 20
-226 1 12 206 207
-227 2 13 207 208
-228 209 3 14 208
-229 209 210 4 15
-230 210 211 5 16
-231 211 212 6 17
-232 212 213 7 18
-233 213 214 8 19
-234 214 215 9 20
-235 1 215 216 10
-236 11 2 216 217
-237 12 3 217 218
-238 13 4 218 219
-239 220 14 5 219
-240 220 201 15 6
0