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