Graph forms
for C4 [ 220, 9 ] = PS(5,44;7)
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On this page are computer-accessible forms for the graph C4[ 220, 9 ] =
PS(5,44;7).
(I) Following is a form readable by MAGMA:
g:=Graph<220|{ {44, 45}, {128, 133}, {130, 135}, {88, 95}, {129, 134}, {83, 90},
{176, 185}, {85, 92}, {87, 94}, {82, 89}, {86, 93}, {131, 136}, {132, 137}, {84,
91}, {175, 184}, {168, 177}, {174, 183}, {172, 181}, {170, 179}, {169, 178},
{173, 182}, {171, 180}, {144, 179}, {156, 191}, {148, 183}, {152, 187}, {64,
101}, {155, 190}, {74, 111}, {72, 109}, {66, 103}, {80, 117}, {82, 119}, {88,
125}, {145, 180}, {147, 182}, {153, 188}, {65, 102}, {154, 189}, {73, 110}, {81,
118}, {128, 167}, {146, 181}, {129, 168}, {131, 170}, {4, 47}, {71, 108}, {67,
104}, {16, 59}, {20, 63}, {83, 120}, {87, 124}, {130, 169}, {2, 47}, {70, 107},
{68, 105}, {3, 46}, {16, 61}, {17, 60}, {18, 63}, {19, 62}, {84, 121}, {86,
123}, {149, 184}, {151, 186}, {1, 46}, {69, 106}, {2, 45}, {17, 62}, {18, 61},
{85, 122}, {132, 171}, {150, 185}, {3, 48}, {76, 127}, {72, 123}, {68, 119},
{64, 115}, {7, 52}, {11, 56}, {15, 60}, {4, 49}, {75, 126}, {73, 124}, {67,
118}, {65, 116}, {5, 48}, {6, 51}, {7, 50}, {12, 57}, {13, 56}, {14, 59}, {15,
58}, {136, 189}, {138, 191}, {5, 50}, {74, 125}, {66, 117}, {6, 49}, {13, 58},
{14, 57}, {137, 190}, {8, 51}, {75, 112}, {12, 55}, {79, 116}, {135, 188}, {8,
53}, {76, 113}, {71, 122}, {69, 120}, {9, 52}, {10, 55}, {11, 54}, {78, 115},
{134, 187}, {143, 178}, {9, 54}, {77, 114}, {70, 121}, {10, 53}, {133, 186},
{142, 177}, {139, 192}, {159, 212}, {155, 208}, {143, 196}, {45, 96}, {158,
211}, {156, 209}, {63, 114}, {61, 112}, {47, 98}, {140, 193}, {142, 195}, {46,
97}, {157, 210}, {62, 113}, {141, 194}, {46, 127}, {133, 212}, {135, 214}, {137,
216}, {139, 218}, {141, 220}, {19, 64}, {60, 111}, {56, 107}, {52, 103}, {48,
99}, {45, 126}, {23, 68}, {27, 72}, {31, 76}, {134, 213}, {138, 217}, {20, 65},
{154, 207}, {59, 110}, {57, 108}, {51, 102}, {49, 100}, {21, 64}, {22, 67}, {23,
66}, {28, 73}, {29, 72}, {30, 75}, {31, 74}, {144, 197}, {146, 199}, {152, 205},
{21, 66}, {58, 109}, {50, 101}, {22, 65}, {29, 74}, {30, 73}, {140, 219}, {145,
198}, {153, 206}, {1, 88}, {24, 67}, {63, 100}, {59, 96}, {28, 71}, {147, 200},
{151, 204}, {24, 69}, {159, 194}, {157, 192}, {62, 99}, {60, 97}, {55, 106},
{53, 104}, {25, 68}, {26, 71}, {27, 70}, {148, 201}, {150, 203}, {25, 70}, {158,
193}, {61, 98}, {54, 105}, {26, 69}, {136, 215}, {149, 202}, {160, 195}, {176,
211}, {172, 207}, {168, 203}, {164, 199}, {56, 93}, {171, 206}, {169, 204},
{163, 198}, {161, 196}, {58, 95}, {57, 94}, {170, 205}, {162, 197}, {32, 75},
{55, 92}, {36, 79}, {32, 77}, {167, 202}, {165, 200}, {54, 91}, {52, 89}, {33,
76}, {34, 79}, {35, 78}, {33, 78}, {166, 201}, {53, 90}, {34, 77}, {35, 80},
{43, 88}, {39, 84}, {36, 81}, {162, 215}, {160, 213}, {39, 82}, {38, 83}, {37,
80}, {37, 82}, {161, 214}, {38, 81}, {40, 83}, {167, 220}, {163, 216}, {44, 87},
{40, 85}, {175, 210}, {173, 208}, {166, 219}, {164, 217}, {43, 86}, {42, 87},
{41, 84}, {41, 86}, {174, 209}, {165, 218}, {42, 85}, {32, 183}, {40, 191}, {33,
184}, {39, 190}, {37, 188}, {35, 186}, {34, 185}, {38, 189}, {32, 189}, {34,
191}, {33, 190}, {36, 187}, {23, 180}, {27, 184}, {31, 188}, {20, 177}, {22,
179}, {28, 185}, {30, 187}, {21, 178}, {29, 186}, {27, 178}, {29, 180}, {31,
182}, {26, 177}, {30, 181}, {24, 181}, {26, 183}, {25, 182}, {47, 128}, {28,
179}, {48, 129}, {50, 131}, {49, 130}, {51, 132}, {4, 199}, {8, 203}, {12, 207},
{16, 211}, {20, 215}, {24, 219}, {1, 196}, {3, 198}, {9, 204}, {11, 206}, {17,
212}, {19, 214}, {25, 220}, {2, 197}, {10, 205}, {18, 213}, {2, 203}, {4, 205},
{6, 207}, {16, 217}, {18, 219}, {1, 202}, {5, 206}, {17, 218}, {5, 200}, {77,
128}, {7, 202}, {21, 216}, {23, 218}, {79, 130}, {3, 204}, {6, 201}, {19, 220},
{22, 217}, {78, 129}, {95, 144}, {111, 160}, {127, 176}, {90, 139}, {92, 141},
{94, 143}, {112, 161}, {114, 163}, {116, 165}, {118, 167}, {120, 169}, {122,
171}, {124, 173}, {126, 175}, {80, 131}, {89, 138}, {93, 142}, {113, 162}, {117,
166}, {121, 170}, {125, 174}, {81, 132}, {7, 208}, {15, 216}, {91, 140}, {115,
164}, {123, 172}, {8, 209}, {10, 211}, {12, 213}, {14, 215}, {95, 134}, {121,
160}, {123, 162}, {125, 164}, {127, 166}, {9, 210}, {13, 214}, {94, 133}, {122,
161}, {126, 165}, {13, 208}, {15, 210}, {11, 212}, {14, 209}, {119, 168}, {124,
163}, {35, 192}, {43, 200}, {39, 196}, {36, 193}, {44, 201}, {38, 195}, {37,
194}, {96, 135}, {104, 143}, {112, 151}, {120, 159}, {41, 192}, {43, 194}, {97,
136}, {99, 138}, {101, 140}, {103, 142}, {113, 152}, {115, 154}, {117, 156},
{119, 158}, {42, 193}, {98, 137}, {102, 141}, {114, 153}, {118, 157}, {40, 197},
{42, 199}, {93, 176}, {41, 198}, {44, 195}, {100, 139}, {116, 155}, {96, 145},
{98, 147}, {100, 149}, {102, 151}, {104, 153}, {106, 155}, {108, 157}, {110,
159}, {92, 175}, {97, 146}, {101, 150}, {105, 154}, {109, 158}, {89, 172}, {91,
174}, {90, 173}, {99, 148}, {107, 156}, {105, 144}, {107, 146}, {109, 148},
{111, 150}, {106, 145}, {110, 149}, {103, 152}, {108, 147} }>;
(II) A more general form is to represent the graph as the orbit of {44, 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, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211,
212, 213, 214, 215, 216, 217, 218, 219, 220) (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, 44)(3, 43)(4, 42)(5, 41)(6, 40)(7, 39)(8, 38)(9, 37)(10, 36)(11, 35)(12,
34)(13, 33)(14, 32)(15, 31)(16, 30)(17, 29)(18, 28)(19, 27)(20, 26)(21, 25)(22,
24)(46, 88)(47, 87)(48, 86)(49, 85)(50, 84)(51, 83)(52, 82)(53, 81)(54, 80)(55,
79)(56, 78)(57, 77)(58, 76)(59, 75)(60, 74)(61, 73)(62, 72)(63, 71)(64, 70)(65,
69)(66, 68)(90, 132)(91, 131)(92, 130)(93, 129)(94, 128)(95, 127)(96, 126)(97,
125)(98, 124)(99, 123)(100, 122)(101, 121)(102, 120)(103, 119)(104, 118)(105,
117)(106, 116)(107, 115)(108, 114)(109, 113)(110, 112)(134, 176)(135, 175)(136,
174)(137, 173)(138, 172)(139, 171)(140, 170)(141, 169)(142, 168)(143, 167)(144,
166)(145, 165)(146, 164)(147, 163)(148, 162)(149, 161)(150, 160)(151, 159)(152,
158)(153, 157)(154, 156)(178, 220)(179, 219)(180, 218)(181, 217)(182, 216)(183,
215)(184, 214)(185, 213)(186, 212)(187, 211)(188, 210)(189, 209)(190, 208)(191,
207)(192, 206)(193, 205)(194, 204)(195, 203)(196, 202)(197, 201)(198, 200)
c: (1, 45, 89, 133, 177)(2, 52, 94, 168, 202, 44, 82, 128, 142, 196)(3, 59, 99,
159, 183, 43, 75, 123, 151, 215)(4, 66, 104, 150, 208, 42, 68, 118, 160, 190)(5,
73, 109, 141, 189, 41, 61, 113, 169, 209)(6, 80, 114, 176, 214, 40, 54, 108,
134, 184)(7, 87, 119, 167, 195, 39, 47, 103, 143, 203)(8, 50, 124, 158, 220, 38,
84, 98, 152, 178)(9, 57, 129, 149, 201, 37, 77, 93, 161, 197)(10, 64, 90, 140,
182, 36, 70, 132, 170, 216)(11, 71, 95, 175, 207, 35, 63, 127, 135, 191)(12, 78,
100, 166, 188, 34, 56, 122, 144, 210)(13, 85, 105, 157, 213, 33, 49, 117, 153,
185)(14, 48, 110, 148, 194, 32, 86, 112, 162, 204)(15, 55, 115, 139, 219, 31,
79, 107, 171, 179)(16, 62, 120, 174, 200, 30, 72, 102, 136, 198)(17, 69, 125,
165, 181, 29, 65, 97, 145, 217)(18, 76, 130, 156, 206, 28, 58, 92, 154, 192)(19,
83, 91, 147, 187, 27, 51, 131, 163, 211)(20, 46, 96, 138, 212, 26, 88, 126, 172,
186)(21, 53, 101, 173, 193, 25, 81, 121, 137, 205)(22, 60, 106, 164, 218, 24,
74, 116, 146, 180)(23, 67, 111, 155, 199)
C4[ 220, 9 ]
220
-1 88 46 202 196
-2 45 47 203 197
-3 198 46 48 204
-4 199 47 49 205
-5 200 48 50 206
-6 201 49 51 207
-7 202 50 52 208
-8 209 203 51 53
-9 210 204 52 54
-10 55 211 205 53
-11 56 212 206 54
-12 55 57 213 207
-13 56 58 214 208
-14 209 57 59 215
-15 210 58 60 216
-16 211 59 61 217
-17 212 60 62 218
-18 213 61 63 219
-19 220 214 62 64
-20 177 215 63 65
-21 66 178 216 64
-22 67 179 217 65
-23 66 68 180 218
-24 67 69 181 219
-25 220 68 70 182
-26 177 69 71 183
-27 178 70 72 184
-28 179 71 73 185
-29 180 72 74 186
-30 187 181 73 75
-31 188 182 74 76
-32 77 189 183 75
-33 78 190 184 76
-34 77 79 191 185
-35 78 80 192 186
-36 187 79 81 193
-37 188 80 82 194
-38 189 81 83 195
-39 190 82 84 196
-40 191 83 85 197
-41 198 192 84 86
-42 199 193 85 87
-43 88 200 194 86
-44 45 201 195 87
-45 44 2 126 96
-46 1 3 127 97
-47 2 4 128 98
-48 99 3 5 129
-49 100 4 6 130
-50 101 5 7 131
-51 132 102 6 8
-52 89 103 7 9
-53 90 104 8 10
-54 11 91 105 9
-55 12 92 106 10
-56 11 13 93 107
-57 12 14 94 108
-58 13 15 95 109
-59 110 14 16 96
-60 111 15 17 97
-61 112 16 18 98
-62 99 113 17 19
-63 100 114 18 20
-64 101 115 19 21
-65 22 102 116 20
-66 23 103 117 21
-67 22 24 104 118
-68 23 25 105 119
-69 24 26 106 120
-70 121 25 27 107
-71 122 26 28 108
-72 123 27 29 109
-73 110 124 28 30
-74 111 125 29 31
-75 112 126 30 32
-76 33 113 127 31
-77 34 114 128 32
-78 33 35 115 129
-79 34 36 116 130
-80 35 37 117 131
-81 132 36 38 118
-82 89 37 39 119
-83 90 38 40 120
-84 121 91 39 41
-85 122 92 40 42
-86 123 93 41 43
-87 44 124 94 42
-88 1 125 95 43
-89 82 138 172 52
-90 83 139 173 53
-91 84 140 174 54
-92 55 85 141 175
-93 176 56 86 142
-94 143 133 57 87
-95 88 144 134 58
-96 45 145 135 59
-97 46 146 136 60
-98 47 147 137 61
-99 48 148 138 62
-100 49 149 139 63
-101 50 150 140 64
-102 51 151 141 65
-103 66 52 152 142
-104 143 67 53 153
-105 154 144 68 54
-106 55 155 145 69
-107 56 156 146 70
-108 57 157 147 71
-109 58 158 148 72
-110 59 159 149 73
-111 60 160 150 74
-112 61 161 151 75
-113 62 162 152 76
-114 77 63 163 153
-115 154 78 64 164
-116 165 155 79 65
-117 66 166 156 80
-118 67 167 157 81
-119 68 168 158 82
-120 69 169 159 83
-121 70 170 160 84
-122 71 171 161 85
-123 72 172 162 86
-124 73 173 163 87
-125 88 74 174 164
-126 165 45 75 175
-127 176 166 46 76
-128 77 133 167 47
-129 78 134 168 48
-130 79 135 169 49
-131 80 136 170 50
-132 81 137 171 51
-133 212 94 128 186
-134 187 213 95 129
-135 188 214 96 130
-136 189 215 97 131
-137 132 190 216 98
-138 99 89 191 217
-139 100 90 192 218
-140 101 91 193 219
-141 220 102 92 194
-142 177 103 93 195
-143 178 104 94 196
-144 179 105 95 197
-145 198 180 106 96
-146 199 181 107 97
-147 200 182 108 98
-148 99 201 183 109
-149 110 100 202 184
-150 111 101 203 185
-151 112 102 204 186
-152 187 113 103 205
-153 188 114 104 206
-154 189 115 105 207
-155 190 116 106 208
-156 209 191 117 107
-157 210 192 118 108
-158 211 193 119 109
-159 110 212 194 120
-160 121 111 213 195
-161 122 112 214 196
-162 123 113 215 197
-163 198 124 114 216
-164 199 125 115 217
-165 200 126 116 218
-166 201 127 117 219
-167 220 202 128 118
-168 177 203 129 119
-169 178 204 130 120
-170 121 179 205 131
-171 132 122 180 206
-172 89 123 181 207
-173 90 124 182 208
-174 209 91 125 183
-175 210 92 126 184
-176 211 93 127 185
-177 168 26 20 142
-178 143 169 27 21
-179 22 144 170 28
-180 23 145 171 29
-181 24 146 172 30
-182 25 147 173 31
-183 26 148 174 32
-184 33 27 149 175
-185 176 34 28 150
-186 133 35 29 151
-187 134 36 30 152
-188 135 37 31 153
-189 154 136 38 32
-190 33 155 137 39
-191 34 156 138 40
-192 35 157 139 41
-193 36 158 140 42
-194 37 159 141 43
-195 44 38 160 142
-196 143 1 39 161
-197 144 2 40 162
-198 145 3 41 163
-199 146 4 42 164
-200 165 147 5 43
-201 44 166 148 6
-202 1 167 149 7
-203 2 168 150 8
-204 3 169 151 9
-205 4 170 152 10
-206 11 5 171 153
-207 154 12 6 172
-208 155 13 7 173
-209 156 14 8 174
-210 157 15 9 175
-211 176 158 16 10
-212 11 133 159 17
-213 12 134 160 18
-214 13 135 161 19
-215 14 136 162 20
-216 15 137 163 21
-217 22 16 138 164
-218 165 23 17 139
-219 166 24 18 140
-220 167 25 19 141
0