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