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