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