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