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