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