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