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