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