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