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