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