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