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