Graph forms
for C4 [ 192, 126 ] = PL(ATD[12,1]#DCyc[4])
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On this page are computer-accessible forms for the graph C4[ 192, 126 ] =
PL(ATD[12,1]#DCyc[4]).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {96, 102}, {96, 111}, {83, 114}, {65, 99}, {84, 118}, {66, 97},
{90, 121}, {71, 100}, {72, 107}, {75, 104}, {69, 97}, {89, 125}, {83, 118}, {89,
124}, {83, 117}, {65, 102}, {68, 99}, {87, 127}, {76, 101}, {90, 115}, {68,
110}, {65, 111}, {92, 114}, {84, 122}, {91, 116}, {71, 118}, {95, 110}, {82,
99}, {77, 124}, {71, 117}, {81, 99}, {72, 123}, {84, 103}, {73, 122}, {72, 127},
{85, 98}, {94, 103}, {64, 122}, {82, 104}, {82, 105}, {74, 118}, {78, 114}, {78,
115}, {88, 101}, {79, 114}, {87, 104}, {52, 116}, {63, 127}, {44, 109}, {56,
121}, {41, 107}, {51, 113}, {55, 117}, {51, 119}, {33, 103}, {43, 108}, {59,
124}, {40, 98}, {40, 100}, {53, 121}, {57, 116}, {43, 101}, {43, 100}, {46, 97},
{37, 117}, {45, 125}, {58, 107}, {59, 106}, {58, 105}, {36, 112}, {53, 97}, {63,
107}, {38, 112}, {42, 124}, {35, 116}, {41, 126}, {60, 101}, {50, 104}, {44,
119}, {50, 105}, {57, 98}, {35, 126}, {36, 121}, {49, 108}, {10, 106}, {30,
126}, {27, 123}, {12, 108}, {16, 113}, {15, 109}, {29, 127}, {19, 113}, {19,
119}, {30, 122}, {24, 125}, {12, 100}, {16, 120}, {3, 106}, {6, 111}, {2, 105},
{16, 123}, {6, 109}, {5, 110}, {4, 111}, {20, 120}, {3, 110}, {29, 112}, {11,
102}, {3, 115}, {28, 108}, {14, 126}, {8, 123}, {5, 113}, {19, 102}, {5, 115},
{11, 125}, {15, 119}, {18, 106}, {20, 109}, {30, 103}, {5, 120}, {31, 98}, {13,
112}, {6, 120}, {2, 131}, {21, 148}, {60, 189}, {61, 188}, {62, 191}, {1, 131},
{19, 145}, {59, 185}, {7, 132}, {26, 153}, {22, 149}, {55, 180}, {1, 133}, {34,
166}, {20, 144}, {32, 165}, {42, 175}, {60, 185}, {8, 142}, {33, 167}, {25,
159}, {14, 136}, {60, 186}, {18, 149}, {39, 160}, {32, 167}, {53, 178}, {39,
175}, {40, 160}, {48, 184}, {17, 152}, {45, 164}, {30, 151}, {50, 187}, {29,
151}, {58, 176}, {13, 134}, {25, 146}, {23, 156}, {11, 135}, {2, 143}, {21,
152}, {20, 153}, {53, 184}, {1, 143}, {34, 172}, {10, 132}, {9, 135}, {49, 190},
{51, 188}, {27, 139}, {47, 191}, {32, 176}, {52, 164}, {26, 139}, {42, 187},
{39, 182}, {38, 183}, {34, 179}, {38, 180}, {48, 162}, {43, 185}, {21, 134},
{42, 185}, {22, 133}, {57, 170}, {1, 149}, {9, 157}, {58, 174}, {12, 153}, {33,
180}, {23, 130}, {15, 154}, {51, 166}, {61, 168}, {17, 135}, {36, 178}, {18,
132}, {62, 168}, {10, 157}, {45, 186}, {6, 158}, {56, 160}, {27, 130}, {41,
176}, {57, 160}, {4, 158}, {11, 145}, {9, 146}, {40, 179}, {50, 169}, {3, 159},
{17, 141}, {12, 144}, {7, 154}, {28, 129}, {49, 172}, {16, 142}, {41, 183}, {34,
188}, {22, 136}, {46, 177}, {61, 162}, {23, 182}, {55, 150}, {24, 186}, {47,
141}, {54, 148}, {62, 156}, {63, 157}, {22, 181}, {31, 187}, {47, 139}, {59,
159}, {26, 191}, {48, 149}, {54, 147}, {7, 161}, {39, 129}, {8, 175}, {13, 170},
{25, 177}, {35, 138}, {37, 140}, {18, 184}, {37, 143}, {46, 133}, {2, 174}, {17,
189}, {61, 144}, {15, 161}, {44, 130}, {54, 152}, {28, 172}, {44, 156}, {38,
150}, {56, 136}, {62, 142}, {46, 159}, {32, 146}, {8, 187}, {36, 151}, {9, 189},
{35, 151}, {31, 171}, {7, 177}, {37, 147}, {31, 169}, {28, 171}, {47, 152}, {29,
165}, {4, 189}, {45, 148}, {27, 162}, {14, 183}, {52, 141}, {54, 143}, {56,
129}, {13, 183}, {14, 181}, {48, 139}, {55, 140}, {26, 166}, {49, 140}, {4,
186}, {25, 167}, {23, 169}, {52, 138}, {21, 170}, {24, 167}, {67, 131}, {90,
154}, {69, 133}, {93, 156}, {66, 128}, {89, 155}, {67, 128}, {88, 155}, {91,
158}, {78, 137}, {65, 137}, {74, 131}, {10, 192}, {91, 145}, {72, 130}, {74,
128}, {75, 128}, {67, 141}, {94, 144}, {73, 153}, {86, 134}, {66, 147}, {79,
158}, {64, 146}, {90, 136}, {70, 148}, {93, 142}, {78, 154}, {92, 137}, {64,
150}, {77, 155}, {76, 155}, {86, 129}, {24, 192}, {75, 147}, {81, 137}, {86,
138}, {88, 132}, {64, 157}, {81, 140}, {79, 145}, {89, 135}, {73, 150}, {85,
181}, {33, 192}, {77, 172}, {70, 164}, {94, 188}, {70, 162}, {68, 161}, {76,
169}, {75, 173}, {96, 134}, {80, 182}, {67, 164}, {85, 178}, {68, 163}, {88,
177}, {84, 190}, {96, 138}, {95, 181}, {94, 180}, {79, 163}, {69, 168}, {95,
178}, {93, 176}, {70, 168}, {73, 166}, {81, 190}, {83, 163}, {82, 163}, {92,
173}, {91, 170}, {87, 165}, {92, 174}, {71, 179}, {74, 190}, {93, 165}, {66,
184}, {87, 173}, {69, 191}, {76, 182}, {80, 173}, {86, 171}, {77, 179}, {95,
161}, {85, 171}, {80, 174}, {63, 192}, {80, 175} }>;
(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: (4, 11)(6, 19)(12, 34)(20, 51)(43, 77)(60, 89)(100, 179)(101, 155)(102,
111)(108, 172)(109, 119)(113, 120)(124, 185)(125, 186)(135, 189)(144, 188)(145,
158)(153, 166) (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, 58, 41, 14, 22)(3, 47, 81, 8, 64, 86)(4, 6, 20, 12, 43, 60)(5, 26, 49,
42, 9, 96)(7, 70, 83, 23, 33, 57)(10, 52, 68, 27, 84, 31)(11, 19, 51, 34, 77,
89)(13, 90, 69, 37, 80, 32)(15, 61, 71, 76, 24, 91)(16, 73, 28, 59, 17, 65)(18,
67, 82, 72, 30, 85)(21, 78, 62, 55, 39, 25)(29, 36, 53, 66, 75, 87)(35, 95, 48,
74, 50, 63)(38, 56, 46, 54, 92, 93)(40, 88, 45, 79, 44, 94)(97, 147, 173, 165,
112, 121)(98, 132, 164, 163, 130, 103)(99, 123, 122, 171, 106, 141)(100, 101,
186, 158, 109, 144)(102, 113, 166, 172, 124, 135)(104, 127, 151, 178, 184,
128)(105, 107, 126, 181, 149, 131)(108, 185, 189, 111, 120, 153)(110, 139, 190,
187, 157, 138)(114, 156, 180, 160, 177, 148)(115, 191, 140, 175, 146, 134)(116,
161, 162, 118, 169, 192)(117, 182, 167, 170, 154, 168)(119, 188, 179, 155, 125,
145)(129, 159, 152, 137, 142, 150)(133, 143, 174, 176, 183, 136)
c: (2, 22)(3, 83, 7, 81)(4, 51)(5, 79, 15, 65)(6, 19)(8, 57, 23, 86)(9, 73)(10,
55)(11, 20)(12, 89)(13, 72)(14, 58)(16, 91, 44, 96)(17, 26)(18, 37)(21, 27)(24,
94)(25, 84)(28, 42, 40, 76)(30, 32)(31, 39)(34, 60)(35, 93)(36, 87)(38, 63)(43,
77)(45, 61)(46, 74)(48, 54)(49, 59, 71, 88)(50, 56)(52, 62)(53, 75)(67, 69)(68,
78)(80, 85)(82, 90)(92, 95)(97, 128)(98, 182, 171, 175)(99, 115, 163, 154)(100,
155, 108, 124)(101, 172, 185, 179)(102, 120, 145, 109)(103, 167)(104, 121)(105,
136)(106, 117, 132, 140)(107, 183)(110, 114, 161, 137)(111, 113, 158, 119)(112,
127)(116, 156, 138, 142)(118, 177, 190, 159)(122, 146)(123, 170, 130, 134)(125,
144)(126, 176)(129, 187, 160, 169)(131, 133)(135, 153)(139, 152)(141, 191)(143,
149)(147, 184)(148, 162)(150, 157)(151, 165)(164, 168)(166, 189)(173, 178)(174,
181)(180, 192)(186, 188)
d: (10, 25)(18, 46)(27, 62)(32, 63)(48, 69)(72, 93)(97, 184)(106, 159)(107,
176)(123, 142)(127, 165)(130, 156)(132, 177)(133, 149)(139, 191)(146, 157)(162,
168)(167, 192)
e: (1, 3, 24, 29, 23, 26)(2, 5, 45, 36, 76, 73)(4, 35, 39, 12, 74, 78)(6, 52,
56, 43, 84, 92)(7, 9, 41, 8, 61, 66)(10, 63, 72, 27, 48, 18)(11, 13, 31, 34, 37,
68)(14, 42, 94, 75, 15, 17)(16, 70, 53, 88, 64, 58)(19, 21, 85, 77, 55, 82)(20,
67, 90, 60, 30, 80)(22, 59, 33, 87, 44, 47)(25, 32, 93, 62, 69, 46)(28, 71, 81,
79, 96, 57)(38, 50, 51, 54, 95, 89)(40, 49, 83, 65, 91, 86)(97, 177, 146, 176,
142, 168)(98, 172, 117, 99, 145, 134)(100, 190, 114, 111, 116, 129)(101, 122,
174, 120, 164, 121)(102, 170, 171, 179, 140, 163)(103, 173, 109, 141, 136,
185)(104, 119, 152, 181, 124, 180)(105, 113, 148, 178, 155, 150)(106, 192, 127,
130, 139, 149)(107, 123, 162, 184, 132, 157)(108, 118, 137, 158, 138, 160)(110,
125, 112, 169, 166, 143)(115, 186, 151, 182, 153, 131)(126, 175, 144, 128, 154,
189)(133, 159, 167, 165, 156, 191)(135, 183, 187, 188, 147, 161)
f: (13, 35)(21, 52)(30, 38)(37, 74)(54, 67)(55, 84)(103, 180)(112, 151)(116,
170)(117, 118)(122, 150)(126, 183)(128, 147)(131, 143)(134, 138)(140, 190)(141,
152)(148, 164)
g: (1, 4, 66, 11)(2, 60, 75, 89)(3, 68, 7, 78)(5, 95, 15, 90)(6, 53, 19, 22)(8,
31, 23, 39)(9, 74, 24, 37)(10, 81)(12, 29, 34, 41)(13, 26, 35, 61)(14, 20, 36,
51)(16, 85, 44, 56)(17, 67, 45, 54)(18, 65)(21, 47, 52, 70)(25, 83)(27, 86)(28,
72)(30, 94, 38, 73)(32, 71)(33, 55, 64, 84)(40, 93)(42, 50, 76, 80)(43, 87, 77,
58)(46, 79)(48, 96)(49, 63)(57, 62)(59, 82, 88, 92)(69, 91)(97, 145, 133,
158)(98, 156, 160, 142)(99, 132, 137, 106)(100, 165, 179, 176)(101, 173, 124,
105)(102, 149, 111, 184)(103, 180, 150, 122)(104, 155, 174, 185)(107, 108, 127,
172)(109, 121, 113, 181)(110, 161, 154, 115)(112, 166, 126, 144)(114, 159, 163,
177)(116, 168, 170, 191)(117, 146, 118, 167)(119, 136, 120, 178)(123, 171, 130,
129)(125, 143, 189, 128)(131, 186, 147, 135)(134, 139, 138, 162)(140, 157, 190,
192)(141, 164, 148, 152)(151, 188, 183, 153)(169, 182, 175, 187)
h: (31, 39)(50, 80)(56, 85)(68, 78)(82, 92)(90, 95)(98, 160)(99, 137)(104,
173)(105, 174)(110, 115)(114, 163)(121, 178)(129, 171)(136, 181)(154, 161)(169,
182)(175, 187)
m: (9, 24)(17, 45)(26, 61)(33, 64)(47, 70)(73, 94)(103, 122)(125, 135)(139,
162)(141, 164)(144, 153)(146, 167)(148, 152)(150, 180)(157, 192)(166, 188)(168,
191)(186, 189)
n1: (28, 40)(49, 71)(57, 86)(65, 79)(81, 83)(91, 96)(98, 171)(99, 163)(100,
108)(102, 145)(111, 158)(114, 137)(116, 138)(117, 140)(118, 190)(129, 160)(134,
170)(172, 179)
a1: (3, 7)(4, 11)(5, 15)(6, 19)(8, 23)(12, 34)(16, 44)(20, 51)(42, 76)(43,
77)(59, 88)(60, 89)(100, 179)(101, 124)(102, 111)(106, 132)(108, 172)(109,
113)(110, 161)(115, 154)(119, 120)(123, 130)(125, 186)(135, 189)(142, 156)(144,
188)(145, 158)(153, 166)(155, 185)(159, 177)(169, 187)(175, 182)
C4[ 192, 126 ]
192
-1 143 133 149 131
-2 143 105 174 131
-3 110 115 159 106
-4 111 189 158 186
-5 110 113 115 120
-6 111 158 109 120
-7 132 154 177 161
-8 187 123 142 175
-9 189 135 146 157
-10 132 157 192 106
-11 145 102 135 125
-12 100 144 108 153
-13 112 134 170 183
-14 136 126 181 183
-15 154 161 119 109
-16 123 113 120 142
-17 189 135 141 152
-18 132 149 106 184
-19 145 102 113 119
-20 144 109 120 153
-21 134 148 170 152
-22 133 136 181 149
-23 156 169 182 130
-24 167 125 192 186
-25 177 167 146 159
-26 166 191 139 153
-27 123 139 162 130
-28 171 172 129 108
-29 165 112 127 151
-30 122 103 126 151
-31 187 169 171 98
-32 165 176 167 146
-33 167 103 180 192
-34 166 188 179 172
-35 126 116 138 151
-36 121 112 178 151
-37 143 147 117 140
-38 112 180 150 183
-39 160 182 129 175
-40 100 179 160 98
-41 176 126 183 107
-42 187 124 185 175
-43 100 101 108 185
-44 156 119 130 109
-45 125 148 164 186
-46 133 177 159 97
-47 191 139 141 152
-48 149 139 162 184
-49 190 172 140 108
-50 187 169 104 105
-51 166 188 113 119
-52 116 138 141 164
-53 121 178 184 97
-54 143 147 148 152
-55 180 117 150 140
-56 121 136 160 129
-57 170 116 160 98
-58 176 105 107 174
-59 124 159 106 185
-60 101 189 185 186
-61 144 188 168 162
-62 156 168 191 142
-63 157 192 127 107
-64 122 146 157 150
-65 99 111 102 137
-66 147 128 184 97
-67 128 141 131 164
-68 99 110 161 163
-69 133 168 191 97
-70 168 148 162 164
-71 100 179 117 118
-72 123 127 107 130
-73 122 166 150 153
-74 190 128 118 131
-75 147 104 128 173
-76 155 101 169 182
-77 155 124 179 172
-78 154 114 115 137
-79 145 114 158 163
-80 182 173 174 175
-81 99 190 137 140
-82 99 104 105 163
-83 114 117 118 163
-84 122 190 103 118
-85 178 181 171 98
-86 134 138 171 129
-87 165 104 127 173
-88 132 155 177 101
-89 155 124 135 125
-90 121 154 136 115
-91 145 158 170 116
-92 114 137 173 174
-93 165 176 156 142
-94 144 188 103 180
-95 110 178 181 161
-96 111 134 102 138
-97 66 46 69 53
-98 57 40 85 31
-99 68 81 82 65
-100 12 71 40 43
-101 88 60 43 76
-102 11 19 96 65
-103 33 94 84 30
-104 82 50 75 87
-105 2 58 82 50
-106 3 59 18 10
-107 58 72 41 63
-108 12 49 28 43
-109 44 15 6 20
-110 68 3 5 95
-111 4 6 96 65
-112 13 36 38 29
-113 5 16 51 19
-114 78 79 92 83
-115 78 90 3 5
-116 35 57 91 52
-117 55 37 71 83
-118 71 83 84 74
-119 44 15 51 19
-120 5 16 6 20
-121 56 90 36 53
-122 73 84 30 64
-123 16 27 72 8
-124 77 89 59 42
-125 11 45 89 24
-126 35 14 30 41
-127 72 29 63 87
-128 66 67 74 75
-129 56 28 39 86
-130 44 23 27 72
-131 1 67 2 74
-132 88 7 18 10
-133 22 1 46 69
-134 13 96 86 21
-135 11 89 17 9
-136 22 56 90 14
-137 78 81 92 65
-138 35 52 96 86
-139 47 26 48 27
-140 55 37 81 49
-141 67 47 17 52
-142 16 93 62 8
-143 1 2 37 54
-144 12 61 94 20
-145 11 79 91 19
-146 25 9 64 32
-147 66 37 75 54
-148 45 70 21 54
-149 22 1 48 18
-150 55 38 73 64
-151 35 36 29 30
-152 47 17 21 54
-153 12 26 73 20
-154 78 90 15 7
-155 77 88 89 76
-156 44 23 93 62
-157 63 9 64 10
-158 79 91 4 6
-159 46 3 25 59
-160 56 57 39 40
-161 68 15 7 95
-162 48 70 27 61
-163 68 79 82 83
-164 45 67 70 52
-165 93 29 32 87
-166 34 26 51 73
-167 33 24 25 32
-168 69 70 61 62
-169 23 50 31 76
-170 13 57 91 21
-171 28 85 31 86
-172 77 34 49 28
-173 80 92 75 87
-174 2 58 80 92
-175 80 39 8 42
-176 58 93 41 32
-177 88 46 25 7
-178 36 95 85 53
-179 77 34 71 40
-180 33 55 38 94
-181 22 14 95 85
-182 23 80 39 76
-183 13 14 38 41
-184 66 48 18 53
-185 59 60 42 43
-186 45 24 4 60
-187 50 8 31 42
-188 34 61 94 51
-189 4 60 17 9
-190 81 49 84 74
-191 47 69 26 62
-192 33 24 63 10
0