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