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