Graph forms
for C4 [ 246, 3 ] = PS(6,41;9)
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On this page are computer-accessible forms for the graph C4[ 246, 3 ] =
PS(6,41;9).
(I) Following is a form readable by MAGMA:
g:=Graph<246|{ {41, 42}, {205, 206}, {123, 124}, {80, 89}, {82, 91}, {160, 169},
{162, 171}, {164, 173}, {81, 90}, {161, 170}, {163, 172}, {79, 88}, {74, 83},
{78, 87}, {76, 85}, {77, 86}, {75, 84}, {64, 96}, {82, 114}, {81, 113}, {80,
112}, {79, 111}, {78, 110}, {77, 109}, {76, 108}, {75, 107}, {74, 106}, {73,
105}, {72, 104}, {71, 103}, {70, 102}, {69, 101}, {68, 100}, {67, 99}, {66, 98},
{65, 97}, {133, 165}, {134, 166}, {135, 167}, {136, 168}, {137, 169}, {138,
170}, {139, 171}, {140, 172}, {141, 173}, {142, 174}, {143, 175}, {144, 176},
{145, 177}, {146, 178}, {147, 179}, {148, 180}, {149, 181}, {150, 182}, {151,
183}, {152, 184}, {153, 185}, {154, 186}, {155, 187}, {156, 188}, {157, 189},
{158, 190}, {159, 191}, {2, 42}, {199, 239}, {87, 127}, {86, 126}, {85, 125},
{84, 124}, {3, 43}, {4, 44}, {5, 45}, {6, 46}, {7, 47}, {16, 56}, {17, 57}, {18,
58}, {19, 59}, {20, 60}, {21, 61}, {22, 62}, {23, 63}, {192, 232}, {193, 233},
{194, 234}, {195, 235}, {196, 236}, {197, 237}, {198, 238}, {1, 43}, {85, 127},
{84, 126}, {4, 46}, {5, 47}, {16, 58}, {17, 59}, {20, 62}, {21, 63}, {192, 234},
{193, 235}, {196, 238}, {197, 239}, {2, 44}, {83, 125}, {3, 45}, {18, 60}, {19,
61}, {194, 236}, {195, 237}, {64, 114}, {73, 123}, {72, 122}, {69, 119}, {68,
118}, {65, 115}, {128, 178}, {129, 179}, {132, 182}, {133, 183}, {136, 186},
{137, 187}, {140, 190}, {141, 191}, {6, 48}, {199, 241}, {67, 117}, {66, 116},
{7, 49}, {14, 56}, {15, 57}, {130, 180}, {131, 181}, {138, 188}, {139, 189},
{198, 240}, {159, 168}, {8, 48}, {205, 245}, {204, 244}, {203, 243}, {202, 242},
{201, 241}, {200, 240}, {9, 49}, {10, 50}, {11, 51}, {12, 52}, {13, 53}, {14,
54}, {15, 55}, {156, 165}, {158, 167}, {8, 50}, {204, 246}, {201, 243}, {200,
242}, {9, 51}, {12, 54}, {13, 55}, {157, 166}, {10, 52}, {203, 245}, {202, 244},
{71, 121}, {70, 120}, {11, 53}, {134, 184}, {135, 185}, {48, 121}, {50, 123},
{128, 201}, {130, 203}, {132, 205}, {49, 122}, {129, 202}, {46, 96}, {63, 113},
{62, 112}, {47, 97}, {142, 192}, {143, 193}, {131, 204}, {48, 98}, {61, 111},
{60, 110}, {57, 107}, {56, 106}, {53, 103}, {52, 102}, {49, 99}, {144, 194},
{145, 195}, {148, 198}, {149, 199}, {152, 202}, {153, 203}, {1, 82}, {165, 246},
{22, 64}, {59, 109}, {58, 108}, {51, 101}, {50, 100}, {23, 65}, {30, 72}, {31,
73}, {146, 196}, {147, 197}, {154, 204}, {155, 205}, {182, 224}, {183, 225},
{190, 232}, {191, 233}, {47, 120}, {24, 64}, {25, 65}, {26, 66}, {27, 67}, {28,
68}, {29, 69}, {30, 70}, {31, 71}, {184, 224}, {185, 225}, {186, 226}, {187,
227}, {188, 228}, {189, 229}, {190, 230}, {191, 231}, {42, 115}, {46, 119}, {44,
117}, {24, 66}, {25, 67}, {28, 70}, {29, 71}, {184, 226}, {185, 227}, {188,
230}, {189, 231}, {45, 118}, {26, 68}, {55, 105}, {54, 104}, {27, 69}, {150,
200}, {151, 201}, {186, 228}, {187, 229}, {43, 116}, {51, 83}, {63, 95}, {62,
94}, {61, 93}, {60, 92}, {59, 91}, {58, 90}, {57, 89}, {56, 88}, {55, 87}, {54,
86}, {53, 85}, {52, 84}, {160, 192}, {161, 193}, {162, 194}, {163, 195}, {164,
196}, {32, 72}, {33, 73}, {34, 74}, {35, 75}, {36, 76}, {37, 77}, {38, 78}, {39,
79}, {166, 206}, {167, 207}, {176, 216}, {177, 217}, {178, 218}, {179, 219},
{180, 220}, {181, 221}, {182, 222}, {183, 223}, {32, 74}, {33, 75}, {36, 78},
{37, 79}, {165, 207}, {176, 218}, {177, 219}, {180, 222}, {181, 223}, {34, 76},
{35, 77}, {178, 220}, {179, 221}, {44, 94}, {45, 95}, {38, 80}, {39, 81}, {42,
92}, {43, 93}, {166, 208}, {167, 209}, {174, 216}, {175, 217}, {40, 80}, {41,
81}, {168, 208}, {169, 209}, {170, 210}, {171, 211}, {172, 212}, {173, 213},
{174, 214}, {175, 215}, {40, 82}, {168, 210}, {169, 211}, {172, 214}, {173,
215}, {170, 212}, {171, 213}, {127, 200}, {124, 197}, {126, 199}, {125, 198},
{10, 206}, {11, 207}, {16, 212}, {17, 213}, {18, 214}, {19, 215}, {24, 220},
{25, 221}, {26, 222}, {27, 223}, {32, 228}, {33, 229}, {34, 230}, {35, 231},
{40, 236}, {41, 237}, {20, 216}, {21, 217}, {22, 218}, {23, 219}, {36, 232},
{37, 233}, {38, 234}, {39, 235}, {126, 176}, {127, 177}, {124, 174}, {125, 175},
{1, 215}, {95, 137}, {94, 136}, {87, 129}, {86, 128}, {8, 222}, {9, 223}, {32,
246}, {118, 160}, {119, 161}, {88, 128}, {95, 135}, {94, 134}, {93, 133}, {92,
132}, {91, 131}, {90, 130}, {89, 129}, {120, 160}, {121, 161}, {122, 162}, {123,
163}, {2, 216}, {93, 135}, {92, 134}, {89, 131}, {88, 130}, {3, 217}, {6, 220},
{7, 221}, {120, 162}, {121, 163}, {12, 208}, {13, 209}, {14, 210}, {15, 211},
{4, 218}, {91, 133}, {90, 132}, {5, 219}, {122, 164}, {96, 136}, {103, 143},
{102, 142}, {101, 141}, {100, 140}, {99, 139}, {98, 138}, {97, 137}, {112, 152},
{113, 153}, {114, 154}, {115, 155}, {116, 156}, {117, 157}, {118, 158}, {119,
159}, {10, 224}, {101, 143}, {100, 142}, {97, 139}, {96, 138}, {11, 225}, {14,
228}, {15, 229}, {26, 240}, {27, 241}, {30, 244}, {31, 245}, {112, 154}, {113,
155}, {116, 158}, {117, 159}, {2, 239}, {34, 207}, {12, 226}, {99, 141}, {98,
140}, {13, 227}, {28, 242}, {29, 243}, {114, 156}, {115, 157}, {1, 238}, {33,
206}, {3, 240}, {7, 244}, {35, 208}, {39, 212}, {4, 241}, {6, 243}, {36, 209},
{38, 211}, {16, 230}, {103, 145}, {102, 144}, {17, 231}, {24, 238}, {25, 239},
{110, 152}, {111, 153}, {5, 242}, {83, 164}, {37, 210}, {104, 144}, {105, 145},
{106, 146}, {107, 147}, {108, 148}, {109, 149}, {110, 150}, {111, 151}, {18,
232}, {19, 233}, {22, 236}, {23, 237}, {104, 146}, {105, 147}, {108, 150}, {109,
151}, {28, 224}, {29, 225}, {30, 226}, {31, 227}, {8, 245}, {40, 213}, {20,
234}, {21, 235}, {106, 148}, {107, 149}, {9, 246}, {41, 214} }>;
(II) A more general form is to represent the graph as the orbit of {41, 42}
under the group generated by the following permutations:
a: (2, 33, 41, 10)(3, 24, 40, 19)(4, 15, 39, 28)(5, 6, 38, 37)(7, 29, 36, 14)(8,
20, 35, 23)(9, 11, 34, 32)(12, 25, 31, 18)(13, 16, 30, 27)(17, 21, 26, 22)(42,
206)(43, 238, 82, 215)(44, 229, 81, 224)(45, 220, 80, 233)(46, 211, 79, 242)(47,
243, 78, 210)(48, 234, 77, 219)(49, 225, 76, 228)(50, 216, 75, 237)(51, 207, 74,
246)(52, 239, 73, 214)(53, 230, 72, 223)(54, 221, 71, 232)(55, 212, 70, 241)(56,
244, 69, 209)(57, 235, 68, 218)(58, 226, 67, 227)(59, 217, 66, 236)(60, 208, 65,
245)(61, 240, 64, 213)(62, 231, 63, 222)(83, 165)(84, 197, 123, 174)(85, 188,
122, 183)(86, 179, 121, 192)(87, 170, 120, 201)(88, 202, 119, 169)(89, 193, 118,
178)(90, 184, 117, 187)(91, 175, 116, 196)(92, 166, 115, 205)(93, 198, 114,
173)(94, 189, 113, 182)(95, 180, 112, 191)(96, 171, 111, 200)(97, 203, 110,
168)(98, 194, 109, 177)(99, 185, 108, 186)(100, 176, 107, 195)(101, 167, 106,
204)(102, 199, 105, 172)(103, 190, 104, 181)(125, 156, 164, 133)(126, 147, 163,
142)(127, 138, 162, 151)(128, 129, 161, 160)(130, 152, 159, 137)(131, 143, 158,
146)(132, 134, 157, 155)(135, 148, 154, 141)(136, 139, 153, 150)(140, 144, 149,
145) (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, 42)(2, 43)(3, 44)(4, 45)(5, 46)(6, 47)(7, 48)(8, 49)(9, 50)(10, 51)(11,
52)(12, 53)(13, 54)(14, 55)(15, 56)(16, 57)(17, 58)(18, 59)(19, 60)(20, 61)(21,
62)(22, 63)(23, 64)(24, 65)(25, 66)(26, 67)(27, 68)(28, 69)(29, 70)(30, 71)(31,
72)(32, 73)(33, 74)(34, 75)(35, 76)(36, 77)(37, 78)(38, 79)(39, 80)(40, 81)(41,
82)(83, 206)(84, 207)(85, 208)(86, 209)(87, 210)(88, 211)(89, 212)(90, 213)(91,
214)(92, 215)(93, 216)(94, 217)(95, 218)(96, 219)(97, 220)(98, 221)(99,
222)(100, 223)(101, 224)(102, 225)(103, 226)(104, 227)(105, 228)(106, 229)(107,
230)(108, 231)(109, 232)(110, 233)(111, 234)(112, 235)(113, 236)(114, 237)(115,
238)(116, 239)(117, 240)(118, 241)(119, 242)(120, 243)(121, 244)(122, 245)(123,
246)(124, 165)(125, 166)(126, 167)(127, 168)(128, 169)(129, 170)(130, 171)(131,
172)(132, 173)(133, 174)(134, 175)(135, 176)(136, 177)(137, 178)(138, 179)(139,
180)(140, 181)(141, 182)(142, 183)(143, 184)(144, 185)(145, 186)(146, 187)(147,
188)(148, 189)(149, 190)(150, 191)(151, 192)(152, 193)(153, 194)(154, 195)(155,
196)(156, 197)(157, 198)(158, 199)(159, 200)(160, 201)(161, 202)(162, 203)(163,
204)(164, 205)
c: (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, 241, 242, 243,
244, 245, 246)
C4[ 246, 3 ]
246
-1 82 215 238 43
-2 44 216 239 42
-3 45 217 240 43
-4 44 46 218 241
-5 242 45 47 219
-6 220 243 46 48
-7 221 244 47 49
-8 222 245 48 50
-9 223 246 49 51
-10 224 50 52 206
-11 225 51 53 207
-12 226 52 54 208
-13 55 209 227 53
-14 56 210 228 54
-15 55 57 211 229
-16 56 58 212 230
-17 231 57 59 213
-18 232 58 60 214
-19 233 59 61 215
-20 234 60 62 216
-21 235 61 63 217
-22 236 62 64 218
-23 237 63 65 219
-24 66 220 238 64
-25 67 221 239 65
-26 66 68 222 240
-27 67 69 223 241
-28 242 68 70 224
-29 243 69 71 225
-30 244 70 72 226
-31 245 71 73 227
-32 246 72 74 228
-33 73 206 75 229
-34 74 207 76 230
-35 77 231 75 208
-36 209 78 232 76
-37 77 210 79 233
-38 78 211 80 234
-39 79 212 81 235
-40 80 213 82 236
-41 81 214 237 42
-42 2 92 115 41
-43 1 3 93 116
-44 2 4 94 117
-45 3 5 95 118
-46 4 6 96 119
-47 5 7 97 120
-48 121 6 8 98
-49 99 122 7 9
-50 100 123 8 10
-51 11 101 83 9
-52 12 102 84 10
-53 11 13 103 85
-54 12 14 104 86
-55 13 15 105 87
-56 88 14 16 106
-57 89 15 17 107
-58 90 16 18 108
-59 91 17 19 109
-60 110 92 18 20
-61 111 93 19 21
-62 22 112 94 20
-63 23 113 95 21
-64 22 24 114 96
-65 23 25 115 97
-66 24 26 116 98
-67 99 25 27 117
-68 100 26 28 118
-69 101 27 29 119
-70 102 28 30 120
-71 121 103 29 31
-72 122 104 30 32
-73 33 123 105 31
-74 34 83 106 32
-75 33 35 84 107
-76 34 36 85 108
-77 35 37 86 109
-78 110 36 38 87
-79 88 111 37 39
-80 89 112 38 40
-81 90 113 39 41
-82 1 91 114 40
-83 125 51 74 164
-84 124 126 52 75
-85 125 127 53 76
-86 77 126 128 54
-87 55 78 127 129
-88 56 79 128 130
-89 57 80 129 131
-90 132 58 81 130
-91 133 59 82 131
-92 132 134 60 42
-93 133 135 61 43
-94 44 134 136 62
-95 45 135 137 63
-96 46 136 138 64
-97 47 137 139 65
-98 66 48 138 140
-99 67 49 139 141
-100 68 50 140 142
-101 143 69 51 141
-102 144 70 52 142
-103 143 145 71 53
-104 144 146 72 54
-105 55 145 147 73
-106 56 146 148 74
-107 57 147 149 75
-108 58 148 150 76
-109 77 59 149 151
-110 78 60 150 152
-111 79 61 151 153
-112 154 80 62 152
-113 155 81 63 153
-114 154 156 82 64
-115 155 157 42 65
-116 66 156 158 43
-117 44 67 157 159
-118 45 68 158 160
-119 46 69 159 161
-120 47 70 160 162
-121 48 71 161 163
-122 49 72 162 164
-123 124 50 73 163
-124 123 84 174 197
-125 198 83 85 175
-126 176 199 84 86
-127 177 200 85 87
-128 88 178 201 86
-129 89 179 202 87
-130 88 90 180 203
-131 89 91 181 204
-132 90 92 182 205
-133 165 91 93 183
-134 166 92 94 184
-135 167 93 95 185
-136 168 94 96 186
-137 187 169 95 97
-138 188 170 96 98
-139 99 189 171 97
-140 100 190 172 98
-141 99 101 191 173
-142 100 102 192 174
-143 101 103 193 175
-144 176 102 104 194
-145 177 103 105 195
-146 178 104 106 196
-147 179 105 107 197
-148 198 180 106 108
-149 199 181 107 109
-150 110 200 182 108
-151 111 201 183 109
-152 110 112 202 184
-153 111 113 203 185
-154 112 114 204 186
-155 187 113 115 205
-156 165 188 114 116
-157 166 189 115 117
-158 167 190 116 118
-159 168 191 117 119
-160 169 192 118 120
-161 121 170 193 119
-162 122 171 194 120
-163 121 123 172 195
-164 122 83 173 196
-165 133 156 246 207
-166 134 157 206 208
-167 209 135 158 207
-168 210 136 159 208
-169 209 211 137 160
-170 210 212 138 161
-171 211 213 139 162
-172 212 214 140 163
-173 213 215 141 164
-174 124 214 216 142
-175 143 125 215 217
-176 144 126 216 218
-177 145 127 217 219
-178 220 146 128 218
-179 221 147 129 219
-180 220 222 148 130
-181 221 223 149 131
-182 132 222 224 150
-183 133 223 225 151
-184 134 224 226 152
-185 135 225 227 153
-186 154 136 226 228
-187 155 137 227 229
-188 156 138 228 230
-189 231 157 139 229
-190 232 158 140 230
-191 231 233 159 141
-192 232 234 160 142
-193 143 233 235 161
-194 144 234 236 162
-195 145 235 237 163
-196 146 236 238 164
-197 124 147 237 239
-198 125 148 238 240
-199 126 149 239 241
-200 242 127 150 240
-201 243 128 151 241
-202 242 244 129 152
-203 243 245 130 153
-204 154 244 246 131
-205 132 155 245 206
-206 33 166 205 10
-207 11 165 34 167
-208 12 166 35 168
-209 13 167 36 169
-210 14 168 37 170
-211 15 169 38 171
-212 16 170 39 172
-213 17 171 40 173
-214 18 172 41 174
-215 1 19 173 175
-216 176 2 20 174
-217 177 3 21 175
-218 22 176 178 4
-219 23 177 179 5
-220 24 178 180 6
-221 25 179 181 7
-222 26 180 182 8
-223 27 181 183 9
-224 28 182 184 10
-225 11 29 183 185
-226 12 30 184 186
-227 187 13 31 185
-228 188 14 32 186
-229 33 187 189 15
-230 34 188 190 16
-231 35 189 191 17
-232 36 190 192 18
-233 37 191 193 19
-234 38 192 194 20
-235 39 193 195 21
-236 22 40 194 196
-237 23 41 195 197
-238 198 1 24 196
-239 199 2 25 197
-240 198 200 3 26
-241 199 201 4 27
-242 200 202 5 28
-243 201 203 6 29
-244 202 204 7 30
-245 203 205 8 31
-246 165 204 9 32
0